%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:45 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.81s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.35 % Computer : n002.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 09:07:50 UTC 2026 % 0.10/0.35 % CPUTime : % 0.19/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.81 % SZS status Unsatisfiable % 0.52/0.81 % SZS output start Proof % 0.52/0.83 ( % 0.52/0.83 (declare-sort $$unsorted 0) % 0.52/0.83 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.v_ia $$unsorted) % 0.52/0.83 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.tc_nat $$unsorted) % 0.52/0.83 (declare-const tptp.v_r $$unsorted) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Lambda_OdB_OApp (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.52/0.83 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.52/0.83 (define @t1 () (@var "T_a" $$unsorted)) % 0.52/0.83 (define @t2 () (@var "V_ry" $$unsorted)) % 0.52/0.83 (define @t3 () (@var "V_ly" $$unsorted)) % 0.52/0.83 (define @t4 () (@var "V_lx" $$unsorted)) % 0.52/0.83 (define @t5 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t3 @t1)) % 0.52/0.83 (define @t6 () (@var "V_rx" $$unsorted)) % 0.52/0.83 (define @t7 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 @t1)) % 0.52/0.83 (define @t8 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t7 @t1)) % 0.52/0.83 (define @t9 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.52/0.83 (define @t10 () (@list @t1 @t4 @t3 @t6 @t2)) % 0.52/0.83 (define @t11 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t6 @t1)) % 0.52/0.83 (define @t12 () (@var "V_m" $$unsorted)) % 0.52/0.83 (define @t13 () (@var "V_n" $$unsorted)) % 0.52/0.83 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t13 @t12 tptp.tc_nat)) % 0.52/0.83 (define @t15 () (tptp.c_Suc @t12)) % 0.52/0.83 (define @t16 () (tptp.c_HOL_Oord__class_Oless @t13 @t15 tptp.tc_nat)) % 0.52/0.83 (define @t17 () (not @t16)) % 0.52/0.83 (define @t18 () (@list @t13 @t12)) % 0.52/0.83 (define @t19 () (= @t12 @t13)) % 0.52/0.83 (define @t20 () (@list @t12 @t13)) % 0.52/0.83 (define @t21 () (tptp.c_Suc @t13)) % 0.52/0.83 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t12 @t21 tptp.tc_nat)) % 0.52/0.83 (define @t23 () (tptp.c_HOL_Oord__class_Oless @t12 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t24 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t25 () (@var "V_b" $$unsorted)) % 0.52/0.83 (define @t26 () (@var "V_a" $$unsorted)) % 0.52/0.83 (define @t27 () (= @t26 @t25)) % 0.52/0.83 (define @t28 () (@var "V_d" $$unsorted)) % 0.52/0.83 (define @t29 () (@var "V_c" $$unsorted)) % 0.52/0.83 (define @t30 () (= @t29 @t28)) % 0.52/0.83 (define @t31 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t29 @t1)) % 0.52/0.83 (define @t32 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t29 @t1)) % 0.52/0.83 (define @t33 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.52/0.83 (define @t34 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.52/0.83 (define @t35 () (@list @t1 @t26 @t29 @t25 @t28)) % 0.52/0.83 (define @t36 () (@var "V_x" $$unsorted)) % 0.52/0.83 (define @t37 () (@var "V_w" $$unsorted)) % 0.52/0.83 (define @t38 () (@var "V_z" $$unsorted)) % 0.52/0.83 (define @t39 () (@var "V_y" $$unsorted)) % 0.52/0.83 (define @t40 () (= @t39 @t38)) % 0.52/0.83 (define @t41 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t39 @t1)) % 0.52/0.83 (define @t42 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t38 @t1)) % 0.52/0.83 (define @t43 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.52/0.83 (define @t44 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t36 @t1)) % 0.52/0.83 (define @t45 () (tptp.c_HOL_Oplus__class_Oplus @t44 (tptp.c_HOL_Otimes__class_Otimes @t39 @t39 @t1) @t1)) % 0.52/0.83 (define @t46 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.52/0.83 (define @t47 () (@list @t1 @t36 @t39)) % 0.52/0.83 (define @t48 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.52/0.83 (define @t49 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.52/0.83 (define @t50 () (@list @t1)) % 0.52/0.83 (define @t51 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.52/0.83 (define @t52 () (@var "V_i" $$unsorted)) % 0.52/0.83 (define @t53 () (@var "V_k" $$unsorted)) % 0.52/0.83 (define @t54 () (tptp.c_HOL_Oord__class_Oless @t53 @t52 tptp.tc_nat)) % 0.52/0.83 (define @t55 () (= @t52 @t53)) % 0.52/0.83 (define @t56 () (tptp.c_Lambda_OdB_OVar @t52)) % 0.52/0.83 (define @t57 () (@var "V_s" $$unsorted)) % 0.52/0.83 (define @t58 () (tptp.c_Lambda_Osubstn @t56 @t57 @t53)) % 0.52/0.83 (define @t59 () (@list @t52 @t57 @t53)) % 0.52/0.83 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t26 @t43 @t1)) % 0.52/0.83 (define @t61 () (not @t60)) % 0.52/0.83 (define @t62 () (not (tptp.c_HOL_Oord__class_Oless @t25 @t43 @t1))) % 0.52/0.83 (define @t63 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t25 @t1)) % 0.52/0.83 (define @t64 () (tptp.c_HOL_Oord__class_Oless @t43 @t63 @t1)) % 0.52/0.83 (define @t65 () (@list @t1 @t26 @t25)) % 0.52/0.83 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t43 @t26 @t1)) % 0.52/0.83 (define @t67 () (not @t66)) % 0.52/0.83 (define @t68 () (tptp.c_HOL_Oord__class_Oless @t43 @t25 @t1)) % 0.52/0.83 (define @t69 () (not @t68)) % 0.52/0.83 (define @t70 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.52/0.83 (define @t71 () (@list @t1 @t25 @t26)) % 0.52/0.83 (define @t72 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t26 @t1)) % 0.52/0.83 (define @t73 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.52/0.83 (define @t74 () (= @t13 @t73)) % 0.52/0.83 (define @t75 () (= @t12 @t73)) % 0.52/0.83 (define @t76 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t77 () (tptp.c_Suc @t73)) % 0.52/0.83 (define @t78 () (not (= @t77 @t76))) % 0.52/0.83 (define @t79 () (= @t12 @t77)) % 0.52/0.83 (define @t80 () (= @t13 @t77)) % 0.52/0.83 (define @t81 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t26 @t1)) % 0.52/0.83 (define @t82 () (tptp.c_HOL_Oord__class_Oless @t81 @t43 @t1)) % 0.52/0.83 (define @t83 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.52/0.83 (define @t84 () (@list @t1 @t26)) % 0.52/0.83 (define @t85 () (not @t82)) % 0.52/0.83 (define @t86 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.52/0.83 (define @t87 () (= @t25 @t43)) % 0.52/0.83 (define @t88 () (= @t26 @t43)) % 0.52/0.83 (define @t89 () (not (= @t63 @t43))) % 0.52/0.83 (define @t90 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.52/0.83 (define @t91 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.52/0.83 (define @t92 () (@var "V_e" $$unsorted)) % 0.52/0.83 (define @t93 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t92 @t1)) % 0.52/0.83 (define @t94 () (tptp.c_HOL_Oplus__class_Oplus @t93 @t28 @t1)) % 0.52/0.83 (define @t95 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t92 @t1)) % 0.52/0.83 (define @t96 () (tptp.c_HOL_Oplus__class_Oplus @t95 @t29 @t1)) % 0.52/0.83 (define @t97 () (tptp.c_HOL_Oord__class_Oless @t96 @t94 @t1)) % 0.52/0.83 (define @t98 () (not @t97)) % 0.52/0.83 (define @t99 () (tptp.c_HOL_Ominus__class_Ominus @t26 @t25 @t1)) % 0.52/0.83 (define @t100 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t99 @t92 @t1) @t29 @t1)) % 0.52/0.83 (define @t101 () (tptp.c_HOL_Oord__class_Oless @t100 @t28 @t1)) % 0.52/0.83 (define @t102 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.52/0.83 (define @t103 () (@list @t1 @t26 @t92 @t29 @t25 @t28)) % 0.52/0.83 (define @t104 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t25 @t26 @t1) @t92 @t1) @t28 @t1)) % 0.52/0.83 (define @t105 () (tptp.c_HOL_Oord__class_Oless @t29 @t104 @t1)) % 0.52/0.83 (define @t106 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.52/0.83 (define @t107 () (@var "V_nat_H" $$unsorted)) % 0.52/0.83 (define @t108 () (@var "V_nat" $$unsorted)) % 0.52/0.83 (define @t109 () (= @t108 @t107)) % 0.52/0.83 (define @t110 () (tptp.c_Suc @t107)) % 0.52/0.83 (define @t111 () (@list @t108 @t107)) % 0.52/0.83 (define @t112 () (= @t36 @t39)) % 0.52/0.83 (define @t113 () (tptp.c_Suc @t36)) % 0.52/0.83 (define @t114 () (not (= @t76 @t73))) % 0.52/0.83 (define @t115 () (@var "V_t" $$unsorted)) % 0.52/0.83 (define @t116 () (tptp.c_Lambda_Oliftn @t13 @t115 @t53)) % 0.52/0.83 (define @t117 () (@list @t12)) % 0.52/0.83 (define @t118 () (tptp.c_HOL_Ominus__class_Ominus @t36 @t36 @t1)) % 0.52/0.83 (define @t119 () (= @t118 @t43)) % 0.52/0.83 (define @t120 () (@list @t1 @t36)) % 0.52/0.83 (define @t121 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.52/0.83 (define @t122 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.52/0.83 (define @t123 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t13 @t1)) % 0.52/0.83 (define @t124 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t12 @t1)) % 0.52/0.83 (define @t125 () (@list @t1 @t12 @t13)) % 0.52/0.83 (define @t126 () (not @t23)) % 0.52/0.83 (define @t127 () (@var "V_l" $$unsorted)) % 0.52/0.83 (define @t128 () (not (tptp.c_HOL_Oord__class_Oless @t53 @t127 tptp.tc_nat))) % 0.52/0.83 (define @t129 () (tptp.c_HOL_Oplus__class_Oplus @t53 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t130 () (@list @t13)) % 0.52/0.83 (define @t131 () (@var "V_j" $$unsorted)) % 0.52/0.83 (define @t132 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t131 tptp.tc_nat))) % 0.52/0.83 (define @t133 () (tptp.c_HOL_Oplus__class_Oplus @t52 @t131 tptp.tc_nat)) % 0.52/0.83 (define @t134 () (tptp.c_HOL_Oord__class_Oless @t52 @t53 tptp.tc_nat)) % 0.52/0.83 (define @t135 () (@list @t52 @t53 @t131)) % 0.52/0.83 (define @t136 () (tptp.c_HOL_Oplus__class_Oplus @t39 @t38 tptp.tc_nat)) % 0.52/0.83 (define @t137 () (tptp.c_HOL_Oord__class_Oless @t36 @t136 tptp.tc_nat)) % 0.52/0.83 (define @t138 () (@list @t36 @t39 @t38)) % 0.52/0.83 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t36 @t39 tptp.tc_nat)) % 0.52/0.83 (define @t140 () (@list @t52 @t12)) % 0.52/0.83 (define @t141 () (not (= @t96 @t94))) % 0.52/0.83 (define @t142 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.52/0.83 (define @t143 () (@list @t107)) % 0.52/0.83 (define @t144 () (tptp.c_Suc @t76)) % 0.52/0.83 (define @t145 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t146 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t21 tptp.tc_nat)) % 0.52/0.83 (define @t147 () (= (tptp.c_HOL_Otimes__class_Otimes @t48 @t26 @t1) @t26)) % 0.52/0.83 (define @t148 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.52/0.83 (define @t149 () (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t26 @t1) @t43)) % 0.52/0.83 (define @t150 () (= (tptp.c_HOL_Otimes__class_Otimes @t26 @t43 @t1) @t43)) % 0.52/0.83 (define @t151 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.52/0.83 (define @t152 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t106 tptp.tc_nat)) % 0.52/0.83 (define @t153 () (not (tptp.c_HOL_Oord__class_Oless @t131 @t53 tptp.tc_nat))) % 0.52/0.83 (define @t154 () (tptp.c_HOL_Oplus__class_Oplus @t77 @t73 tptp.tc_nat)) % 0.52/0.83 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t36 @t36 tptp.tc_nat)) % 0.52/0.83 (define @t156 () (@list @t36)) % 0.52/0.83 (define @t157 () (not (tptp.c_HOL_Oord__class_Oless @t36 @t36 @t1))) % 0.52/0.83 (define @t158 () (not (tptp.class_Orderings_Oorder @t1))) % 0.52/0.83 (define @t159 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.52/0.83 (define @t160 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.52/0.83 (define @t161 () (tptp.c_Lambda_Oliftn @t13 @t56 @t53)) % 0.52/0.83 (define @t162 () (@list @t13 @t52 @t53)) % 0.52/0.83 (define @t163 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t25 @t1)) % 0.52/0.83 (define @t164 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.52/0.83 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t36 @t39 @t1)) % 0.52/0.83 (define @t166 () (tptp.c_HOL_Oord__class_Oless @t39 @t36 @t1)) % 0.52/0.83 (define @t167 () (@list @t1 @t39 @t36)) % 0.52/0.83 (define @t168 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t12 tptp.tc_nat)) % 0.52/0.83 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t73 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t170 () (not @t169)) % 0.52/0.83 (define @t171 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t13 @t106 tptp.tc_nat))) % 0.52/0.83 (define @t172 () (tptp.c_HOL_Oord__class_Oless @t26 @t25 @t1)) % 0.52/0.83 (define @t173 () (not @t172)) % 0.52/0.83 (define @t174 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t28 @t1)) % 0.52/0.83 (define @t175 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t29 @t1)) % 0.52/0.83 (define @t176 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.52/0.83 (define @t177 () (tptp.c_HOL_Oplus__class_Oplus @t52 @t53 tptp.tc_nat)) % 0.52/0.83 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t99 @t43 @t1)) % 0.52/0.83 (define @t179 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.52/0.83 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t124 @t123 @t1)) % 0.52/0.83 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t36 @t113 tptp.tc_nat)) % 0.52/0.83 (define @t182 () (tptp.c_Suc @t52)) % 0.52/0.83 (define @t183 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.52/0.83 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t43 @t123 @t1)) % 0.52/0.83 (define @t185 () (@list @t1 @t13)) % 0.52/0.83 (define @t186 () (tptp.c_HOL_Oord__class_Oless @t63 @t43 @t1)) % 0.52/0.83 (define @t187 () (@list @t1 @t25 @t26 @t29)) % 0.52/0.83 (define @t188 () (@var "V_r" $$unsorted)) % 0.52/0.83 (define @t189 () (= @t39 @t43)) % 0.52/0.83 (define @t190 () (not (= @t45 @t43))) % 0.52/0.83 (define @t191 () (= @t36 @t43)) % 0.52/0.83 (define @t192 () (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_HOL_Ominus__class_Ominus @t131 @t53 tptp.tc_nat) tptp.tc_nat)) % 0.52/0.83 (define @t193 () (tptp.c_HOL_Oord__class_Oless @t177 @t131 tptp.tc_nat)) % 0.52/0.83 (define @t194 () (@list @t52 @t131 @t53)) % 0.52/0.83 (define @t195 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t29 @t1)) % 0.52/0.83 (define @t196 () (tptp.c_HOL_Oord__class_Oless @t175 @t195 @t1)) % 0.52/0.83 (define @t197 () (@list @t1 @t26 @t29 @t25)) % 0.52/0.83 (define @t198 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.52/0.83 (define @t199 () (@list @t1 @t26 @t25 @t29)) % 0.52/0.83 (define @t200 () (tptp.c_HOL_Oplus__class_Oplus @t29 @t26 @t1)) % 0.52/0.83 (define @t201 () (tptp.c_HOL_Oord__class_Oless @t200 (tptp.c_HOL_Oplus__class_Oplus @t29 @t25 @t1) @t1)) % 0.52/0.83 (define @t202 () (@list @t1 @t29 @t26 @t25)) % 0.52/0.83 (define @t203 () (tptp.c_HOL_Oplus__class_Oplus @t131 @t53 tptp.tc_nat)) % 0.52/0.83 (define @t204 () (tptp.c_HOL_Oplus__class_Oplus @t53 @t12 tptp.tc_nat)) % 0.52/0.83 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t204 @t129 tptp.tc_nat)) % 0.52/0.83 (define @t206 () (@list @t12 @t13 @t53)) % 0.52/0.83 (define @t207 () (@list @t53 @t12 @t13)) % 0.52/0.83 (define @t208 () (tptp.c_HOL_Oplus__class_Oplus @t73 @t77 tptp.tc_nat)) % 0.52/0.83 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t73 @t168 tptp.tc_nat)) % 0.52/0.83 (define @t210 () (tptp.c_HOL_Oord__class_Oless @t15 @t13 tptp.tc_nat)) % 0.52/0.83 (define @t211 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t43 @t1)) % 0.52/0.83 (define @t212 () (tptp.c_HOL_Oplus__class_Oplus @t211 @t211 @t1)) % 0.52/0.83 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t32 @t31 @t1)) % 0.52/0.83 (define @t214 () (not @t213)) % 0.52/0.83 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t29 @t43 @t1)) % 0.52/0.83 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t43 @t29 @t1)) % 0.52/0.83 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t25 @t26 @t1)) % 0.52/0.83 (define @t218 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t29 @t26 @t1) (tptp.c_HOL_Otimes__class_Otimes @t29 @t25 @t1) @t1)) % 0.52/0.83 (define @t219 () (not @t218)) % 0.52/0.83 (define @t220 () (tptp.c_HOL_Oord__class_Oless @t73 @t12 tptp.tc_nat)) % 0.52/0.83 (define @t221 () (not @t220)) % 0.52/0.83 (define @t222 () (not @t165)) % 0.52/0.83 (define @t223 () (@var "V_y_H" $$unsorted)) % 0.52/0.83 (define @t224 () (@var "V_x_H" $$unsorted)) % 0.52/0.83 (define @t225 () (tptp.c_HOL_Oord__class_Oless @t224 @t223 @t1)) % 0.52/0.83 (define @t226 () (tptp.c_HOL_Ominus__class_Ominus @t224 @t223 @t1)) % 0.52/0.83 (define @t227 () (tptp.c_HOL_Ominus__class_Ominus @t36 @t39 @t1)) % 0.52/0.83 (define @t228 () (not (= @t227 @t226))) % 0.52/0.83 (define @t229 () (@list @t1 @t36 @t39 @t224 @t223)) % 0.52/0.83 (define @t230 () (not (= @t76 @t77))) % 0.52/0.83 (define @t231 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t6 @t1)) % 0.52/0.83 (define @t232 () (@list @t1 @t4 @t3 @t6)) % 0.52/0.83 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t7 @t1)) % 0.52/0.83 (define @t234 () (@list @t1 @t4 @t6 @t2)) % 0.52/0.83 (define @t235 () (@list @t1 @t36 @t39 @t38)) % 0.52/0.83 (define @t236 () (= (tptp.c_HOL_Otimes__class_Otimes @t163 @t29 @t1) (tptp.c_HOL_Oplus__class_Oplus @t32 @t31 @t1))) % 0.52/0.83 (define @t237 () (tptp.c_HOL_Oplus__class_Oplus @t41 @t42 @t1)) % 0.52/0.83 (define @t238 () (tptp.c_HOL_Oplus__class_Oplus @t39 @t38 @t1)) % 0.52/0.83 (define @t239 () (not @t217)) % 0.52/0.83 (define @t240 () (not @t166)) % 0.52/0.83 (define @t241 () (= (tptp.c_HOL_Otimes__class_Otimes @t26 @t48 @t1) @t26)) % 0.52/0.83 (define @t242 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t29 @t1)) % 0.52/0.83 (define @t243 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t28 @t1)) % 0.52/0.83 (define @t244 () (tptp.c_HOL_Oord__class_Oless @t73 @t76 tptp.tc_nat)) % 0.52/0.83 (define @t245 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t12 tptp.tc_nat)) % 0.52/0.83 (define @t246 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t52 @t131 tptp.tc_nat) @t53 tptp.tc_nat)) % 0.52/0.83 (define @t247 () (@var "V_xa" $$unsorted)) % 0.52/0.83 (define @t248 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.52/0.83 (define @t249 () (@list @t1 @t12)) % 0.52/0.83 (define @t250 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t53 tptp.tc_nat)) % 0.52/0.83 (define @t251 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t53 tptp.tc_nat)) % 0.52/0.83 (define @t252 () (@list @t12 @t53 @t13)) % 0.52/0.83 (define @t253 () (not (= @t99 @t43))) % 0.52/0.83 (define @t254 () (tptp.c_Suc @t53)) % 0.52/0.83 (define @t255 () (tptp.c_HOL_Oord__class_Oless @t43 @t45 @t1)) % 0.52/0.83 (define @t256 () (not @t54)) % 0.52/0.83 (define @t257 () (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t52 @t106 tptp.tc_nat))) % 0.52/0.83 (define @t258 () (not @t134)) % 0.52/0.83 (define @t259 () (tptp.c_Lambda_OdB_OApp @t57 @t115)) % 0.52/0.83 (define @t260 () (tptp.c_Lambda_OdB_OVar @t36)) % 0.52/0.83 (define @t261 () (@list @t36 @t57)) % 0.52/0.83 (define @t262 () (not @t215)) % 0.52/0.83 (define @t263 () (not @t216)) % 0.52/0.83 (define @t264 () (tptp.c_HOL_Oplus__class_Oplus @t48 @t48 @t1)) % 0.52/0.83 (define @t265 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t12 @t1)) % 0.52/0.83 (define @t266 () (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t26 @t1) @t26)) % 0.52/0.83 (define @t267 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.52/0.83 (define @t268 () (= (tptp.c_HOL_Oplus__class_Oplus @t26 @t43 @t1) @t26)) % 0.52/0.83 (define @t269 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.52/0.83 (define @t270 () (@var "V_u" $$unsorted)) % 0.52/0.83 (define @t271 () (tptp.c_Lambda_OdB_OApp @t115 @t270)) % 0.52/0.83 (define @t272 () (@list @t115 @t270 @t57 @t53)) % 0.52/0.83 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t15 @t21 tptp.tc_nat)) % 0.52/0.83 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t43 @t81 @t1)) % 0.52/0.83 (define @t275 () (tptp.c_Lambda_OdB_OVar @t108)) % 0.52/0.83 (define @t276 () (@var "V_dB2_H" $$unsorted)) % 0.52/0.83 (define @t277 () (@var "V_dB1_H" $$unsorted)) % 0.52/0.83 (define @t278 () (tptp.c_Lambda_OdB_OApp @t277 @t276)) % 0.52/0.83 (define @t279 () (tptp.c_Lambda_OdB_OAbs @t188)) % 0.52/0.83 (define @t280 () (not (tptp.c_Lambda_Obeta @t279 @t57))) % 0.52/0.83 (define @t281 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t188 @t57)) % 0.52/0.83 (define @t282 () (tptp.c_HOL_Oplus__class_Oplus @t53 @t106 tptp.tc_nat)) % 0.52/0.83 (define @t283 () (tptp.c_Lambda_Olift @t115 @t53)) % 0.52/0.83 (define @t284 () (tptp.c_Lambda_Olift @t115 @t52)) % 0.52/0.83 (define @t285 () (tptp.c_HOL_Oplus__class_Oplus @t52 @t106 tptp.tc_nat)) % 0.52/0.83 (define @t286 () (tptp.c_Lambda_Olift @t57 @t52)) % 0.52/0.83 (define @t287 () (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst @t115 @t57 @t131) @t52)) % 0.52/0.83 (define @t288 () (@list @t115 @t57 @t131 @t52)) % 0.52/0.83 (define @t289 () (tptp.c_Lambda_Olift @t56 @t53)) % 0.52/0.83 (define @t290 () (@list @t52 @t53)) % 0.52/0.83 (define @t291 () (not (tptp.c_Lambda_Obeta @t57 @t115))) % 0.52/0.83 (define @t292 () (tptp.c_HOL_Oplus__class_Oplus @t29 @t28 @t1)) % 0.52/0.83 (define @t293 () (tptp.c_HOL_Oplus__class_Oplus @t131 @t106 tptp.tc_nat)) % 0.52/0.83 (define @t294 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t293 tptp.tc_nat))) % 0.52/0.83 (define @t295 () (@var "V_v" $$unsorted)) % 0.52/0.83 (define @t296 () (tptp.c_Lambda_OdB_OAbs @t115)) % 0.52/0.83 (define @t297 () (@list @t115 @t57 @t53)) % 0.52/0.83 (define @t298 () (= @t25 @t29)) % 0.52/0.83 (define @t299 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t26 @t1)) % 0.52/0.83 (define @t300 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.52/0.83 (define @t301 () (not (= @t163 @t175))) % 0.52/0.83 (define @t302 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t38 @t1)) % 0.52/0.83 (define @t303 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t39 @t1)) % 0.52/0.83 (define @t304 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t38 tptp.tc_nat)) % 0.52/0.83 (define @t305 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t238 @t1)) % 0.52/0.83 (define @t306 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t195 @t1)) % 0.52/0.83 (define @t307 () (tptp.c_HOL_Oplus__class_Oplus @t163 @t29 @t1)) % 0.52/0.83 (define @t308 () (= @t307 @t306)) % 0.52/0.83 (define @t309 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t292 @t1)) % 0.52/0.83 (define @t310 () (@list @t1 @t26 @t29 @t28)) % 0.52/0.83 (define @t311 () (tptp.c_Lambda_Osubst @t56 @t57 @t53)) % 0.52/0.83 (define @t312 () (not (tptp.c_Lambda_Obeta @t188 @t57))) % 0.52/0.83 (define @t313 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t48 @t1)) % 0.52/0.83 (define @t314 () (tptp.c_HOL_Otimes__class_Otimes @t313 @t12 @t1)) % 0.52/0.83 (define @t315 () (tptp.c_Lambda_OdB_OAbs @t57)) % 0.52/0.83 (define @t316 () (@list @t57 @t115)) % 0.52/0.83 (define @t317 () (@var "V_dB2" $$unsorted)) % 0.52/0.83 (define @t318 () (@var "V_dB1" $$unsorted)) % 0.52/0.83 (define @t319 () (tptp.c_Lambda_OdB_OApp @t318 @t317)) % 0.52/0.83 (define @t320 () (not (= @t319 @t278))) % 0.52/0.83 (define @t321 () (@list @t318 @t317 @t277 @t276)) % 0.52/0.83 (define @t322 () (tptp.c_Lambda_OdB_OVar @t131)) % 0.52/0.83 (define @t323 () (tptp.c_Lambda_Osubst @t322 @t270 @t52)) % 0.52/0.83 (define @t324 () (@list @t131 @t270 @t52)) % 0.52/0.83 (define @t325 () (@var "V_dB_H" $$unsorted)) % 0.52/0.83 (define @t326 () (tptp.c_Lambda_OdB_OAbs @t325)) % 0.52/0.83 (define @t327 () (@var "V_dB" $$unsorted)) % 0.52/0.83 (define @t328 () (tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OAbs tptp.v_r) tptp.v_ia))) % 0.52/0.83 (define @t329 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia @t106 tptp.tc_nat)) % 0.52/0.83 (define @t330 () (tptp.c_Lambda_Olift tptp.v_r @t329)) % 0.52/0.83 (define @t331 () (tptp.c_InductTermi_OIT @t330)) % 0.52/0.83 (define @t332 () (not @t331)) % 0.52/0.83 (define @t333 () (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs @t330))) % 0.52/0.83 (define @t334 () (or @t333 @t332)) % 0.52/0.83 (assume @p1 (forall @t10 (or @t9 (= @t8 (tptp.c_HOL_Otimes__class_Otimes @t6 (tptp.c_HOL_Otimes__class_Otimes @t5 @t2 @t1) @t1))))) % 0.52/0.83 (assume @p2 (forall @t10 (or @t9 (= @t8 (tptp.c_HOL_Otimes__class_Otimes @t4 (tptp.c_HOL_Otimes__class_Otimes @t3 @t7 @t1) @t1))))) % 0.52/0.83 (assume @p3 (forall @t10 (or @t9 (= @t8 (tptp.c_HOL_Otimes__class_Otimes @t11 (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1) @t1))))) % 0.52/0.83 (assume @p4 (forall @t18 (or (= @t13 @t12) @t17 @t14))) % 0.52/0.83 (assume @p5 (forall @t20 (or @t19 @t17 @t14))) % 0.52/0.83 (assume @p6 (forall @t20 (or @t19 @t23 (not @t22)))) % 0.52/0.83 (assume @p7 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t21 tptp.tc_nat) @t24))) % 0.52/0.83 (assume @p8 (forall @t35 (or @t34 @t33 (not (= (tptp.c_HOL_Oplus__class_Oplus @t32 (tptp.c_HOL_Otimes__class_Otimes @t25 @t28 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t26 @t28 @t1) @t31 @t1))) @t30 @t27))) % 0.52/0.83 (assume @p9 (forall (@list @t1 @t37 @t39 @t36 @t38) (or @t34 @t33 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t37 @t39 @t1) @t42 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t37 @t38 @t1) @t41 @t1))) @t40 (= @t37 @t36)))) % 0.52/0.83 (assume @p10 (forall @t47 (or @t46 (not (tptp.c_HOL_Oord__class_Oless @t45 @t43 @t1))))) % 0.52/0.83 (assume @p11 (forall @t50 (or @t49 (not (= @t48 @t43))))) % 0.52/0.83 (assume @p12 (forall @t50 (or @t51 (not (tptp.c_HOL_Oord__class_Oless @t48 @t43 @t1))))) % 0.52/0.83 (assume @p13 (forall @t59 (or (= @t58 @t56) @t55 @t54))) % 0.52/0.83 (assume @p14 (forall @t65 (or @t46 @t64 @t62 @t61))) % 0.52/0.83 (assume @p15 (forall @t65 (or @t70 @t64 @t69 @t67))) % 0.52/0.83 (assume @p16 (forall @t71 (or @t70 @t68 @t67 (not @t64)))) % 0.52/0.83 (assume @p17 (forall @t71 (or @t70 @t68 @t67 (not (tptp.c_HOL_Oord__class_Oless @t43 @t72 @t1))))) % 0.52/0.83 (assume @p18 (forall @t20 (or @t78 @t75 @t74))) % 0.52/0.83 (assume @p19 (forall @t20 (or @t78 @t80 @t79))) % 0.52/0.83 (assume @p20 (forall @t84 (or @t83 @t82 @t61))) % 0.52/0.83 (assume @p21 (forall @t84 (or @t83 @t60 @t85))) % 0.52/0.83 (assume @p22 (forall @t84 (or @t86 @t60 @t85))) % 0.52/0.83 (assume @p23 (forall @t84 (or @t86 @t82 @t61))) % 0.52/0.83 (assume @p24 (tptp.c_HOL_Oord__class_Oless @t73 @t77 tptp.tc_nat)) % 0.52/0.83 (assume @p25 (forall @t65 (or @t90 @t89 @t88 @t87))) % 0.52/0.83 (assume @p26 (forall @t65 (or @t90 @t89 @t87 @t88))) % 0.52/0.83 (assume @p27 (forall @t65 (or @t91 @t89 @t87 @t88))) % 0.52/0.83 (assume @p28 (forall (@list @t1 @t26 @t25 @t92 @t29 @t28) (or @t102 @t101 @t98))) % 0.52/0.83 (assume @p29 (forall @t103 (or @t102 @t97 (not @t101)))) % 0.52/0.83 (assume @p30 (forall (@list @t1 @t29 @t25 @t26 @t92 @t28) (or @t102 @t105 @t98))) % 0.52/0.83 (assume @p31 (forall @t103 (or @t102 @t97 (not @t105)))) % 0.52/0.83 (assume @p32 (= @t106 @t77)) % 0.52/0.83 (assume @p33 (forall @t111 (or (not (= (tptp.c_Suc @t108) @t110)) @t109))) % 0.52/0.83 (assume @p34 (forall (@list @t36 @t39) (or (not (= @t113 (tptp.c_Suc @t39))) @t112))) % 0.52/0.83 (assume @p35 (forall @t84 (or @t86 (not (= @t81 @t43)) @t88))) % 0.52/0.83 (assume @p36 (forall @t20 (or @t114 @t74))) % 0.52/0.83 (assume @p37 (forall @t20 (or @t114 @t75))) % 0.52/0.83 (assume @p38 (forall (@list @t13 @t115 @t53) (= (tptp.c_Lambda_Oliftn @t21 @t115 @t53) (tptp.c_Lambda_Olift @t116 @t53)))) % 0.52/0.83 (assume @p39 (forall @t117 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t73 tptp.tc_nat) @t12))) % 0.52/0.83 (assume @p40 (forall @t117 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 tptp.tc_nat) @t73))) % 0.52/0.83 (assume @p41 (forall @t120 (or @t34 @t33 @t119))) % 0.52/0.83 (assume @p42 (forall @t84 (or @t121 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t26 @t1) @t43)))) % 0.52/0.83 (assume @p43 (forall @t84 (or @t121 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t43 @t1) @t26)))) % 0.52/0.83 (assume @p44 (forall @t120 (or @t121 @t119))) % 0.52/0.83 (assume @p45 (forall @t120 (or @t122 @t119))) % 0.52/0.83 (assume @p46 (forall (@list @t36 @t26) (or (not (= @t36 (tptp.c_HOL_Oplus__class_Oplus @t36 @t26 tptp.tc_nat))) (= @t26 @t73)))) % 0.52/0.83 (assume @p47 (forall @t20 (or (not (= @t76 @t12)) @t74))) % 0.52/0.83 (assume @p48 (forall (@list @t1 @t36 @t26) (or @t34 @t33 (not (= @t36 (tptp.c_HOL_Oplus__class_Oplus @t36 @t26 @t1))) @t88))) % 0.52/0.83 (assume @p49 (forall @t125 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t124 @t123)) @t19))) % 0.52/0.83 (assume @p50 (forall (@list @t127 @t13 @t12) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t127 @t13 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t127 @t12 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t12 @t127 tptp.tc_nat)) @t126))) % 0.52/0.83 (assume @p51 (forall (@list @t12 @t127 @t53 @t13) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t127 tptp.tc_nat) @t129)) @t128 @t23))) % 0.52/0.83 (assume @p52 (forall @t130 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t106 tptp.tc_nat) @t13))) % 0.52/0.83 (assume @p53 (forall (@list @t52 @t12 @t131) (or (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_HOL_Oplus__class_Oplus @t12 @t131 tptp.tc_nat) tptp.tc_nat) @t132))) % 0.52/0.83 (assume @p54 (forall (@list @t52 @t131 @t12) (or (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_HOL_Oplus__class_Oplus @t131 @t12 tptp.tc_nat) tptp.tc_nat) @t132))) % 0.52/0.83 (assume @p55 (forall @t135 (or @t134 (not (tptp.c_HOL_Oord__class_Oless @t133 @t53 tptp.tc_nat))))) % 0.52/0.83 (assume @p56 (forall @t138 (or @t137 (not (tptp.c_HOL_Oord__class_Oless @t36 @t38 tptp.tc_nat))))) % 0.52/0.83 (assume @p57 (forall @t138 (or @t137 (not @t139)))) % 0.52/0.83 (assume @p58 (forall (@list @t12 @t36) (tptp.c_HOL_Oord__class_Oless @t12 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t12 @t36 tptp.tc_nat)) tptp.tc_nat))) % 0.52/0.83 (assume @p59 (forall @t140 (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t12 @t52 tptp.tc_nat)) tptp.tc_nat))) % 0.52/0.83 (assume @p60 (forall @t140 (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t52 @t12 tptp.tc_nat)) tptp.tc_nat))) % 0.52/0.83 (assume @p61 (forall @t103 (or @t142 @t141 (= @t100 @t28)))) % 0.52/0.83 (assume @p62 (forall @t103 (or @t142 @t141 (= @t29 @t104)))) % 0.52/0.83 (assume @p63 (forall (@list @t1 @t26 @t92 @t25 @t28) (or @t142 (= (tptp.c_HOL_Oplus__class_Oplus @t95 @t104 @t1) @t94)))) % 0.52/0.83 (assume @p64 (forall @t117 (not (= @t73 @t15)))) % 0.52/0.83 (assume @p65 (forall @t143 (not (= @t73 @t110)))) % 0.52/0.83 (assume @p66 (forall @t20 (= @t145 @t144))) % 0.52/0.83 (assume @p67 (forall @t20 (= @t146 @t144))) % 0.52/0.83 (assume @p68 (forall (@list @t1 @t26 @t92 @t29 @t25) (or @t142 (= @t96 (tptp.c_HOL_Oplus__class_Oplus @t93 @t100 @t1))))) % 0.52/0.83 (assume @p69 (forall @t120 (or @t9 (= (tptp.c_HOL_Otimes__class_Otimes @t48 @t36 @t1) @t36)))) % 0.52/0.83 (assume @p70 (forall @t84 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1)) @t147))) % 0.52/0.83 (assume @p71 (forall @t84 (or @t148 @t147))) % 0.52/0.83 (assume @p72 (forall @t84 (or @t9 @t149))) % 0.52/0.83 (assume @p73 (forall @t84 (or @t9 @t150))) % 0.52/0.83 (assume @p74 (forall @t84 (or @t91 @t150))) % 0.52/0.83 (assume @p75 (forall (@list @t1 @t25) (or @t91 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t25 @t1) @t43)))) % 0.52/0.83 (assume @p76 (forall @t84 (or @t151 @t150))) % 0.52/0.83 (assume @p77 (forall @t84 (or @t151 @t149))) % 0.52/0.83 (assume @p78 (forall @t120 (or @t9 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t36 @t1) @t43)))) % 0.52/0.83 (assume @p79 (forall @t20 (or (= @t76 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t152 @t13 tptp.tc_nat))) @t75))) % 0.52/0.83 (assume @p80 (forall (@list @t131 @t13 @t53) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t131 @t13 tptp.tc_nat) @t53 tptp.tc_nat) @t153))) % 0.52/0.83 (assume @p81 (= @t77 @t154)) % 0.52/0.83 (assume @p82 (forall @t156 (not @t155))) % 0.52/0.83 (assume @p83 (forall @t130 (not (tptp.c_HOL_Oord__class_Oless @t13 @t13 tptp.tc_nat)))) % 0.52/0.83 (assume @p84 (forall @t120 (or @t158 @t157))) % 0.52/0.83 (assume @p85 (forall @t120 (or @t159 @t157))) % 0.52/0.83 (assume @p86 (forall @t120 (or @t160 @t157))) % 0.52/0.83 (assume @p87 (forall @t162 (or (= @t161 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus @t52 @t13 tptp.tc_nat))) @t134))) % 0.52/0.83 (assume @p88 (forall @t65 (or @t164 (tptp.c_HOL_Oord__class_Oless @t43 @t163 @t1) @t69 @t67))) % 0.52/0.83 (assume @p89 (forall @t167 (or @t83 @t166 @t165 @t112))) % 0.52/0.83 (assume @p90 (forall @t47 (or @t159 @t112 @t166 @t165))) % 0.52/0.83 (assume @p91 (forall @t18 (or @t14 @t23 @t19))) % 0.52/0.83 (assume @p92 (forall @t18 (or (not (= @t168 @t73)) (not (= @t24 @t73)) @t19))) % 0.52/0.83 (assume @p93 (forall (@list @t39 @t36) (or (tptp.c_HOL_Oord__class_Oless @t39 @t36 tptp.tc_nat) @t139 @t112))) % 0.52/0.83 (assume @p94 (forall @t167 (or @t159 @t166 @t165 @t112))) % 0.52/0.83 (assume @p95 (forall @t167 (or @t159 @t166 @t112 @t165))) % 0.52/0.83 (assume @p96 (forall @t47 (or @t159 @t112 @t165 @t166))) % 0.52/0.83 (assume @p97 (forall @t130 (or (= @t171 @t13) @t170))) % 0.52/0.83 (assume @p98 (forall @t130 (or (= @t13 @t171) @t170))) % 0.52/0.83 (assume @p99 (forall @t35 (or @t176 (tptp.c_HOL_Oord__class_Oless @t175 @t174 @t1) (not (tptp.c_HOL_Oord__class_Oless @t29 @t28 @t1)) @t173))) % 0.52/0.83 (assume @p100 (forall (@list @t52 @t53 @t131 @t127) (or (tptp.c_HOL_Oord__class_Oless @t177 (tptp.c_HOL_Oplus__class_Oplus @t131 @t127 tptp.tc_nat) tptp.tc_nat) @t128 @t132))) % 0.52/0.83 (assume @p101 (forall @t143 (not (= @t110 @t73)))) % 0.52/0.83 (assume @p102 (forall @t117 (not (= @t15 @t73)))) % 0.52/0.83 (assume @p103 (forall @t65 (or @t179 @t172 (not @t178)))) % 0.52/0.83 (assume @p104 (forall @t65 (or @t179 @t178 @t173))) % 0.52/0.83 (assume @p105 (forall @t125 (or @t51 @t180 @t126))) % 0.52/0.83 (assume @p106 (forall @t125 (or @t51 @t23 (not @t180)))) % 0.52/0.83 (assume @p107 (forall @t130 (tptp.c_HOL_Oord__class_Oless @t13 @t21 tptp.tc_nat))) % 0.52/0.83 (assume @p108 (forall @t156 @t181)) % 0.52/0.83 (assume @p109 (forall @t135 (or (tptp.c_HOL_Oord__class_Oless @t182 @t53 tptp.tc_nat) @t153 @t132))) % 0.52/0.83 (assume @p110 (forall @t50 (or @t51 (tptp.c_HOL_Oord__class_Oless @t43 @t48 @t1)))) % 0.52/0.83 (assume @p111 (forall @t47 (or @t183 (= (tptp.c_HOL_Otimes__class_Otimes @t36 @t41 @t1) @t41)))) % 0.52/0.83 (assume @p112 (forall @t185 (or @t51 @t184 @t170))) % 0.52/0.83 (assume @p113 (forall @t185 (or @t51 @t169 (not @t184)))) % 0.52/0.83 (assume @p114 (forall @t130 (or @t169 @t74))) % 0.52/0.83 (assume @p115 (forall (@list @t115 @t53) (= (tptp.c_Lambda_Oliftn @t73 @t115 @t53) @t115))) % 0.52/0.83 (assume @p116 (not (tptp.c_HOL_Oord__class_Oless @t73 @t73 tptp.tc_nat))) % 0.52/0.83 (assume @p117 (forall @t71 (or @t70 (tptp.c_HOL_Oord__class_Oless @t72 @t43 @t1) @t62 @t67))) % 0.52/0.83 (assume @p118 (forall @t65 (or @t70 @t186 @t62 @t67))) % 0.52/0.83 (assume @p119 (forall @t65 (or @t70 @t186 @t69 @t61))) % 0.52/0.83 (assume @p120 (forall (@list @t115 @t57) (= (tptp.c_Lambda_Osubstn @t115 @t57 @t73) (tptp.c_Lambda_Osubst @t115 @t57 @t73)))) % 0.52/0.83 (assume @p121 (forall @t187 (or @t51 (tptp.c_HOL_Oord__class_Oless @t25 @t175 @t1) (not (tptp.c_HOL_Oord__class_Oless @t25 @t29 @t1)) @t67))) % 0.52/0.83 (assume @p122 (forall (@list @t52 @t131) (not (tptp.c_HOL_Oord__class_Oless @t133 @t52 tptp.tc_nat)))) % 0.52/0.83 (assume @p123 (forall (@list @t131 @t52) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t131 @t52 tptp.tc_nat) @t52 tptp.tc_nat)))) % 0.52/0.83 (assume @p124 (forall (@list @t1 @t36 @t188 @t29 @t28) (or @t34 @t33 (not (= (tptp.c_HOL_Oplus__class_Oplus @t36 (tptp.c_HOL_Otimes__class_Otimes @t188 @t29 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t36 (tptp.c_HOL_Otimes__class_Otimes @t188 @t28 @t1) @t1))) @t30 (= @t188 @t43)))) % 0.52/0.83 (assume @p125 (forall @t47 (or @t46 @t190 @t189))) % 0.52/0.83 (assume @p126 (forall @t47 (or @t46 @t190 @t191))) % 0.52/0.83 (assume @p127 (forall @t135 (or @t193 (not @t192)))) % 0.52/0.83 (assume @p128 (forall @t194 (or @t192 (not @t193)))) % 0.52/0.83 (assume @p129 (forall @t130 (not (= @t21 @t13)))) % 0.52/0.83 (assume @p130 (forall @t130 (not (= @t13 @t21)))) % 0.52/0.83 (assume @p131 (forall @t197 (or @t176 @t196 @t173))) % 0.52/0.83 (assume @p132 (forall @t197 (or @t198 @t196 @t173))) % 0.52/0.83 (assume @p133 (forall @t199 (or @t198 @t172 (not @t196)))) % 0.52/0.83 (assume @p134 (forall @t202 (or @t176 @t201 @t173))) % 0.52/0.83 (assume @p135 (forall @t202 (or @t198 @t201 @t173))) % 0.52/0.83 (assume @p136 (forall @t199 (or @t198 @t172 (not @t201)))) % 0.52/0.83 (assume @p137 (forall @t135 (or (tptp.c_HOL_Oord__class_Oless @t177 @t203 tptp.tc_nat) @t132))) % 0.52/0.83 (assume @p138 (forall @t206 (or @t23 (not @t205)))) % 0.52/0.83 (assume @p139 (forall @t207 (or @t205 @t126))) % 0.52/0.83 (assume @p140 (= @t208 @t77)) % 0.52/0.83 (assume @p141 (forall @t120 (or @t183 (= @t44 @t36)))) % 0.52/0.83 (assume @p142 (forall @t20 (or @t23 (not @t209)))) % 0.52/0.83 (assume @p143 (forall @t18 (or @t209 @t126))) % 0.52/0.83 (assume @p144 (forall @t20 (or @t23 (not @t210)))) % 0.52/0.83 (assume @p145 (forall @t20 (or @t22 @t126))) % 0.52/0.83 (assume @p146 (forall @t50 (or @t46 (= @t212 @t43)))) % 0.52/0.83 (assume @p147 (forall @t202 (or @t46 @t215 @t172 @t214))) % 0.52/0.83 (assume @p148 (forall @t187 (or @t46 @t217 @t216 @t214))) % 0.52/0.83 (assume @p149 (forall @t202 (or @t46 @t215 @t172 @t219))) % 0.52/0.83 (assume @p150 (forall @t187 (or @t46 @t217 @t216 @t219))) % 0.52/0.83 (assume @p151 (forall @t130 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t13 @t77 tptp.tc_nat)) @t13) @t170))) % 0.52/0.83 (assume @p152 (forall @t20 (or (tptp.c_HOL_Oord__class_Oless @t24 @t12 tptp.tc_nat) @t221 @t170))) % 0.52/0.83 (assume @p153 (forall @t229 (or @t179 @t228 @t225 @t222))) % 0.52/0.83 (assume @p154 (forall @t229 (or @t179 @t228 @t165 (not @t225)))) % 0.52/0.83 (assume @p155 (forall @t18 (or (= (tptp.c_HOL_Oplus__class_Oplus @t13 @t24 tptp.tc_nat) @t12) @t23))) % 0.52/0.83 (assume @p156 (forall (@list @t13 @t52) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t13 @t182 tptp.tc_nat) @t13 tptp.tc_nat) @t170))) % 0.52/0.83 (assume @p157 (forall @t20 (or @t230 @t80 @t79))) % 0.52/0.83 (assume @p158 (forall @t20 (or @t230 @t75 @t74))) % 0.52/0.83 (assume @p159 (forall @t199 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t63 @t29 @t1) (tptp.c_HOL_Otimes__class_Otimes @t26 @t31 @t1))))) % 0.52/0.83 (assume @p160 (forall @t232 (or @t9 (= @t231 (tptp.c_HOL_Otimes__class_Otimes @t11 @t3 @t1))))) % 0.52/0.83 (assume @p161 (forall @t232 (or @t9 (= @t231 (tptp.c_HOL_Otimes__class_Otimes @t4 (tptp.c_HOL_Otimes__class_Otimes @t3 @t6 @t1) @t1))))) % 0.52/0.83 (assume @p162 (forall @t234 (or @t9 (= @t233 (tptp.c_HOL_Otimes__class_Otimes @t11 @t2 @t1))))) % 0.52/0.83 (assume @p163 (forall @t234 (or @t9 (= @t233 (tptp.c_HOL_Otimes__class_Otimes @t6 (tptp.c_HOL_Otimes__class_Otimes @t4 @t2 @t1) @t1))))) % 0.52/0.83 (assume @p164 (forall @t235 (or @t9 (= (tptp.c_HOL_Otimes__class_Otimes @t36 (tptp.c_HOL_Otimes__class_Otimes @t39 @t38 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t41 @t38 @t1))))) % 0.52/0.83 (assume @p165 (forall @t199 (or @t9 @t236))) % 0.52/0.83 (assume @p166 (forall @t199 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t236))) % 0.52/0.83 (assume @p167 (forall @t235 (or @t9 (= (tptp.c_HOL_Otimes__class_Otimes @t36 @t238 @t1) @t237)))) % 0.52/0.83 (assume @p168 (forall @t65 (or @t158 @t173 @t239))) % 0.52/0.83 (assume @p169 (forall @t47 (or @t159 @t222 @t240))) % 0.52/0.83 (assume @p170 (forall @t167 (or @t160 @t240 @t222))) % 0.52/0.83 (assume @p171 (forall @t71 (or @t160 @t239 @t173))) % 0.52/0.83 (assume @p172 (forall @t84 (or @t148 @t241))) % 0.52/0.83 (assume @p173 (forall @t84 (or @t9 @t241))) % 0.52/0.83 (assume @p174 (forall @t84 (or @t9 @t147))) % 0.52/0.83 (assume @p175 (= @t154 @t77)) % 0.52/0.83 (assume @p176 (forall (@list @t1 @t36 @t29 @t28) (or @t34 @t33 (= (tptp.c_HOL_Oplus__class_Oplus @t242 @t243 @t1) (tptp.c_HOL_Oplus__class_Oplus @t243 @t242 @t1))))) % 0.52/0.83 (assume @p177 (forall @t235 (or @t34 @t33 (= @t237 (tptp.c_HOL_Oplus__class_Oplus @t42 @t41 @t1))))) % 0.52/0.83 (assume @p178 (forall @t130 (or @t74 (not (tptp.c_HOL_Oord__class_Oless @t13 @t77 tptp.tc_nat))))) % 0.52/0.83 (assume @p179 (forall @t65 (or @t121 (= (tptp.c_HOL_Oplus__class_Oplus @t99 @t25 @t1) @t26)))) % 0.52/0.83 (assume @p180 (forall (@list @t115 @t57 @t13) (= (tptp.c_Lambda_Osubstn @t115 @t57 @t13) (tptp.c_Lambda_Osubst @t115 (tptp.c_Lambda_Oliftn @t13 @t57 @t73) @t13)))) % 0.52/0.83 (assume @p181 (forall @t47 (or @t9 (= @t41 (tptp.c_HOL_Otimes__class_Otimes @t39 @t36 @t1))))) % 0.52/0.83 (assume @p182 (forall @t50 (or @t86 (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t43 @t1) @t43)))) % 0.52/0.83 (assume @p183 (= (tptp.c_HOL_Oplus__class_Oplus @t73 @t73 tptp.tc_nat) @t73)) % 0.52/0.83 (assume @p184 (forall @t65 (or @t9 (= @t63 @t72)))) % 0.52/0.83 (assume @p185 (forall @t20 (tptp.c_HOL_Oord__class_Oless @t24 @t15 tptp.tc_nat))) % 0.52/0.83 (assume @p186 (forall (@list @t1 @t36 @t38 @t39) (or @t160 (tptp.c_HOL_Oord__class_Oless @t36 @t38 @t1) (not (tptp.c_HOL_Oord__class_Oless @t39 @t38 @t1)) @t222))) % 0.52/0.83 (assume @p187 (forall (@list @t1 @t38 @t36 @t39) (or @t158 (tptp.c_HOL_Oord__class_Oless @t38 @t36 @t1) (not (tptp.c_HOL_Oord__class_Oless @t38 @t39 @t1)) @t240))) % 0.52/0.83 (assume @p188 (forall @t18 (or @t169 @t220 (not @t244)))) % 0.52/0.83 (assume @p189 (forall @t117 (not (tptp.c_HOL_Oord__class_Oless @t12 @t73 tptp.tc_nat)))) % 0.52/0.83 (assume @p190 (forall @t130 (not (tptp.c_HOL_Oord__class_Oless @t13 @t73 tptp.tc_nat)))) % 0.52/0.83 (assume @p191 (= @t77 @t208)) % 0.52/0.83 (assume @p192 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t245 tptp.tc_nat) @t73))) % 0.52/0.83 (assume @p193 (forall @t194 (= @t246 (tptp.c_HOL_Ominus__class_Ominus @t52 @t203 tptp.tc_nat)))) % 0.52/0.83 (assume @p194 (forall (@list @t1 @t247 @t39 @t36) (or @t122 (not (= (tptp.c_HOL_Ominus__class_Ominus @t247 @t39 @t1) @t118)) (= @t247 @t39)))) % 0.52/0.83 (assume @p195 (forall (@list @t1 @t36 @t224 @t223) (or @t122 (not (= @t118 @t226)) (= @t224 @t223)))) % 0.52/0.83 (assume @p196 (forall @t50 (or @t49 (not (= @t43 @t48))))) % 0.52/0.83 (assume @p197 (forall @t20 (or @t78 @t80 @t74))) % 0.52/0.83 (assume @p198 (forall @t20 (or @t78 @t75 @t79))) % 0.52/0.83 (assume @p199 (forall @t249 (or @t248 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1) (tptp.c_HOL_Oplus__class_Oplus @t48 @t124 @t1))))) % 0.52/0.83 (assume @p200 (forall @t20 (= @t145 @t146))) % 0.52/0.83 (assume @p201 (forall @t130 (= (tptp.c_HOL_Ominus__class_Ominus @t73 @t13 tptp.tc_nat) @t73))) % 0.52/0.83 (assume @p202 (forall @t252 (= (tptp.c_HOL_Ominus__class_Ominus @t251 @t250 tptp.tc_nat) @t24))) % 0.52/0.83 (assume @p203 (forall @t207 (= (tptp.c_HOL_Ominus__class_Ominus @t204 @t129 tptp.tc_nat) @t24))) % 0.52/0.83 (assume @p204 (forall @t130 (tptp.c_HOL_Oord__class_Oless @t73 @t21 tptp.tc_nat))) % 0.52/0.83 (assume @p205 (forall @t156 (tptp.c_HOL_Oord__class_Oless @t73 @t113 tptp.tc_nat))) % 0.52/0.83 (assume @p206 (forall (@list @t1 @t26 @t92 @t25 @t29) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t95 (tptp.c_HOL_Oplus__class_Oplus @t93 @t29 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t163 @t92 @t1) @t29 @t1))))) % 0.52/0.83 (assume @p207 (forall @t50 (or @t248 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t73 @t1) @t43)))) % 0.52/0.83 (assume @p208 (forall @t65 (or @t164 (tptp.c_HOL_Oord__class_Oless @t163 @t43 @t1) @t62 @t61))) % 0.52/0.83 (assume @p209 (forall @t47 (or @t34 @t33 (not (= @t227 @t43)) @t112))) % 0.52/0.83 (assume @p210 (forall @t65 (or @t121 @t253 @t27))) % 0.52/0.83 (assume @p211 (forall @t65 (or @t122 @t253 @t27))) % 0.52/0.83 (assume @p212 (forall @t194 (= @t246 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t52 @t53 tptp.tc_nat) @t131 tptp.tc_nat)))) % 0.52/0.83 (assume @p213 (forall @t84 (or @t46 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t26 @t26 @t1) @t43 @t1))))) % 0.52/0.83 (assume @p214 (forall @t20 (or @t210 (= @t15 @t13) @t126))) % 0.52/0.83 (assume @p215 (forall @t20 (or @t230 @t80 @t74))) % 0.52/0.83 (assume @p216 (forall @t20 (or @t230 @t75 @t79))) % 0.52/0.83 (assume @p217 (forall @t206 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t15 @t13 tptp.tc_nat) @t254 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t24 @t53 tptp.tc_nat)))) % 0.52/0.83 (assume @p218 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t21 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t152 @t13 tptp.tc_nat)))) % 0.52/0.83 (assume @p219 (forall @t47 (or @t46 @t255 @t191))) % 0.52/0.83 (assume @p220 (forall @t47 (or @t46 @t255 @t189))) % 0.52/0.83 (assume @p221 (forall @t249 (or @t51 (not (tptp.c_HOL_Oord__class_Oless @t124 @t43 @t1))))) % 0.52/0.83 (assume @p222 (forall @t59 (or (= @t58 @t257) @t256))) % 0.52/0.83 (assume @p223 (forall @t162 (or (= @t161 @t56) @t258))) % 0.52/0.83 (assume @p224 (forall (@list @t13 @t57 @t115 @t53) (= (tptp.c_Lambda_Oliftn @t13 @t259 @t53) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t13 @t57 @t53) @t116)))) % 0.52/0.83 (assume @p225 (forall @t202 (or @t46 @t215 @t216 @t219))) % 0.52/0.83 (assume @p226 (forall @t187 (or @t46 @t217 @t172 @t219))) % 0.52/0.83 (assume @p227 (forall @t202 (or @t46 @t215 @t216 @t214))) % 0.52/0.83 (assume @p228 (forall @t187 (or @t46 @t217 @t172 @t214))) % 0.52/0.83 (assume @p229 (forall @t261 (or @t155 (= (tptp.c_Lambda_Osubstn @t260 @t57 @t36) (tptp.c_Lambda_Oliftn @t36 @t57 @t73))))) % 0.52/0.83 (assume @p230 (forall @t156 (or @t155 @t181))) % 0.52/0.83 (assume @p231 (forall @t20 (or @t126 @t17))) % 0.52/0.83 (assume @p232 (forall @t18 (or @t16 @t23))) % 0.52/0.83 (assume @p233 (forall @t187 (or @t46 @t217 @t219 @t262))) % 0.52/0.83 (assume @p234 (forall @t202 (or @t46 @t218 @t239 @t262))) % 0.52/0.83 (assume @p235 (forall @t199 (or @t46 @t172 @t219 @t263))) % 0.52/0.83 (assume @p236 (forall @t202 (or @t46 @t218 @t173 @t263))) % 0.52/0.83 (assume @p237 (forall @t202 (or @t46 @t218 @t262 @t239))) % 0.52/0.83 (assume @p238 (forall @t202 (or @t70 @t218 @t263 @t173))) % 0.52/0.83 (assume @p239 (forall @t197 (or @t46 @t213 @t262 @t239))) % 0.52/0.83 (assume @p240 (forall @t197 (or @t70 @t213 @t263 @t173))) % 0.52/0.83 (assume @p241 (forall @t197 (or @t46 @t213 @t173 @t263))) % 0.52/0.83 (assume @p242 (forall @t197 (or @t46 @t213 @t239 @t262))) % 0.52/0.83 (assume @p243 (forall @t202 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t218 @t263 @t173))) % 0.52/0.83 (assume @p244 (forall @t50 (or @t51 (tptp.c_HOL_Oord__class_Oless @t43 @t264 @t1)))) % 0.52/0.83 (assume @p245 (forall (@list @t1 @t26 @t12 @t25) (or @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t265 (tptp.c_HOL_Otimes__class_Otimes @t25 @t12 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t163 @t12 @t1))))) % 0.52/0.83 (assume @p246 (forall @t120 (or @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t36 @t1) @t36)))) % 0.52/0.83 (assume @p247 (forall @t84 (or @t267 @t266))) % 0.52/0.83 (assume @p248 (forall @t156 (= @t36 (tptp.c_HOL_Oplus__class_Oplus @t36 @t73 tptp.tc_nat)))) % 0.52/0.83 (assume @p249 (forall @t130 (= (tptp.c_HOL_Oplus__class_Oplus @t73 @t13 tptp.tc_nat) @t13))) % 0.52/0.83 (assume @p250 (forall @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t73 tptp.tc_nat) @t12))) % 0.52/0.83 (assume @p251 (forall @t120 (or @t34 @t33 (= @t36 (tptp.c_HOL_Oplus__class_Oplus @t36 @t43 @t1))))) % 0.52/0.83 (assume @p252 (forall @t84 (or @t267 @t268))) % 0.52/0.83 (assume @p253 (forall @t84 (or @t269 @t266))) % 0.52/0.83 (assume @p254 (forall @t84 (or @t269 @t268))) % 0.52/0.83 (assume @p255 (forall @t84 (or @t9 @t268))) % 0.52/0.83 (assume @p256 (forall @t84 (or @t9 @t266))) % 0.52/0.83 (assume @p257 (forall @t50 (or @t46 (not (tptp.c_HOL_Oord__class_Oless @t43 @t212 @t1))))) % 0.52/0.83 (assume @p258 (forall @t272 (= (tptp.c_Lambda_Osubstn @t271 @t57 @t53) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t115 @t57 @t53) (tptp.c_Lambda_Osubstn @t270 @t57 @t53))))) % 0.52/0.83 (assume @p259 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t76 @t13 tptp.tc_nat) @t12))) % 0.52/0.83 (assume @p260 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t245 @t13 tptp.tc_nat) @t12))) % 0.52/0.83 (assume @p261 (forall @t65 (or @t121 (= (tptp.c_HOL_Ominus__class_Ominus @t163 @t25 @t1) @t26)))) % 0.52/0.83 (assume @p262 (forall @t125 (or @t51 (tptp.c_HOL_Oord__class_Oless @t48 (tptp.c_HOL_Otimes__class_Otimes @t12 @t13 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t48 @t13 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t48 @t12 @t1))))) % 0.52/0.83 (assume @p263 (forall (@list @t36 @t13) (or (tptp.c_HOL_Oord__class_Oless @t113 @t21 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t36 @t13 tptp.tc_nat))))) % 0.52/0.83 (assume @p264 (forall @t20 (or @t23 (not @t273)))) % 0.52/0.83 (assume @p265 (forall @t20 (or @t273 @t126))) % 0.52/0.83 (assume @p266 (forall @t20 (or @t244 @t170))) % 0.52/0.83 (assume @p267 (forall @t20 (or @t244 @t221))) % 0.52/0.83 (assume @p268 (forall @t84 (or @t86 @t66 (not @t274)))) % 0.52/0.83 (assume @p269 (forall @t84 (or @t86 @t274 @t67))) % 0.52/0.83 (assume @p270 (forall (@list @t277 @t276 @t108) (not (= @t278 @t275)))) % 0.52/0.83 (assume @p271 (forall (@list @t57 @t188) (or (= @t57 (tptp.c_Lambda_OdB_OAbs @t281)) @t280))) % 0.52/0.83 (assume @p272 (forall (@list @t115 @t52 @t53) (or (= (tptp.c_Lambda_Olift @t284 @t254) (tptp.c_Lambda_Olift @t283 @t52)) (not (tptp.c_HOL_Oord__class_Oless @t52 @t282 tptp.tc_nat))))) % 0.52/0.83 (assume @p273 (forall @t288 (or (= @t287 (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t115 @t285) @t286 @t131)) (not (tptp.c_HOL_Oord__class_Oless @t131 @t285 tptp.tc_nat))))) % 0.52/0.83 (assume @p274 (forall @t290 (or (= @t289 @t56) @t258))) % 0.52/0.83 (assume @p275 (forall (@list @t57 @t270 @t115) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t57 @t270) @t271) @t291))) % 0.52/0.83 (assume @p276 (forall (@list @t270 @t57 @t115) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t270 @t57) (tptp.c_Lambda_OdB_OApp @t270 @t115)) @t291))) % 0.52/0.83 (assume @p277 (forall (@list @t1 @t26 @t25 @t29 @t28) (or @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t163 @t292 @t1) (tptp.c_HOL_Oplus__class_Oplus @t175 @t174 @t1))))) % 0.52/0.83 (assume @p278 (forall (@list @t115 @t295 @t52 @t131 @t270) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t115 (tptp.c_Lambda_Olift @t295 @t52) (tptp.c_Suc @t131)) (tptp.c_Lambda_Osubst @t270 @t295 @t131) @t52) (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t115 @t270 @t52) @t295 @t131)) @t294))) % 0.52/0.83 (assume @p279 (forall @t297 (= (tptp.c_Lambda_Osubst @t296 @t57 @t53) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst @t115 (tptp.c_Lambda_Olift @t57 @t73) @t282))))) % 0.52/0.83 (assume @p280 (forall @t187 (or @t300 (not (= @t299 @t200)) @t298))) % 0.52/0.83 (assume @p281 (forall @t199 (or @t300 @t301 @t298))) % 0.52/0.83 (assume @p282 (forall @t199 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t301 @t298))) % 0.52/0.83 (assume @p283 (forall @t235 (or @t34 @t33 (not (= @t303 @t302)) @t40))) % 0.52/0.83 (assume @p284 (forall @t207 (or (not (= @t204 @t129)) @t19))) % 0.52/0.83 (assume @p285 (forall @t252 (or (not (= @t251 @t250)) @t19))) % 0.52/0.83 (assume @p286 (forall @t138 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t36 @t39 tptp.tc_nat) @t304)) @t40))) % 0.52/0.83 (assume @p287 (forall @t288 (or (= @t287 (tptp.c_Lambda_Osubst @t284 @t286 @t293)) @t294))) % 0.52/0.83 (assume @p288 (forall @t50 (or @t248 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t106 @t1) @t48)))) % 0.52/0.83 (assume @p289 (forall @t261 (or @t155 (= (tptp.c_Lambda_Osubst @t260 @t57 @t36) @t57)))) % 0.52/0.83 (assume @p290 (forall @t290 (or (= @t289 (tptp.c_Lambda_OdB_OVar @t285)) @t134))) % 0.52/0.83 (assume @p291 (forall (@list @t1 @t36 @t39 @t38 @t270) (or @t122 (not (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t39 @t270 @t1))) (= @t302 @t270)))) % 0.52/0.83 (assume @p292 (forall @t199 (or @t9 @t308))) % 0.52/0.83 (assume @p293 (forall @t310 (or @t9 (= @t309 (tptp.c_HOL_Oplus__class_Oplus @t29 (tptp.c_HOL_Oplus__class_Oplus @t26 @t28 @t1) @t1))))) % 0.52/0.83 (assume @p294 (forall @t199 (or @t9 (= @t307 (tptp.c_HOL_Oplus__class_Oplus @t175 @t25 @t1))))) % 0.52/0.83 (assume @p295 (forall @t310 (or @t9 (= @t309 (tptp.c_HOL_Oplus__class_Oplus @t175 @t28 @t1))))) % 0.52/0.83 (assume @p296 (forall @t199 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t308))) % 0.52/0.83 (assume @p297 (forall @t199 (or @t267 (= @t306 (tptp.c_HOL_Oplus__class_Oplus @t25 @t175 @t1))))) % 0.52/0.83 (assume @p298 (forall @t199 (or @t267 @t308))) % 0.52/0.83 (assume @p299 (forall @t206 (= (tptp.c_HOL_Oplus__class_Oplus @t76 @t53 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t12 @t250 tptp.tc_nat)))) % 0.52/0.83 (assume @p300 (forall @t138 (= (tptp.c_HOL_Oplus__class_Oplus @t36 @t136 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t39 @t304 tptp.tc_nat)))) % 0.52/0.83 (assume @p301 (forall @t235 (or @t122 (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t39 @t302 @t1))))) % 0.52/0.83 (assume @p302 (forall @t235 (or @t9 (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t303 @t38 @t1))))) % 0.52/0.83 (assume @p303 (forall @t59 (or (= @t311 @t56) @t55 @t54))) % 0.52/0.83 (assume @p304 (forall (@list @t188 @t115 @t52 @t57) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t188 @t115 @t52) (tptp.c_Lambda_Osubst @t57 @t115 @t52)) @t312))) % 0.52/0.83 (assume @p305 (forall @t130 (= @t21 (tptp.c_HOL_Oplus__class_Oplus @t13 @t106 tptp.tc_nat)))) % 0.52/0.83 (assume @p306 (forall @t130 (= @t21 (tptp.c_HOL_Oplus__class_Oplus @t106 @t13 tptp.tc_nat)))) % 0.52/0.83 (assume @p307 (forall @t297 (= (tptp.c_Lambda_Osubstn @t296 @t57 @t53) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t115 @t57 @t282))))) % 0.52/0.83 (assume @p308 (forall (@list @t1 @t26 @t29) (or @t9 (= @t175 @t200)))) % 0.52/0.83 (assume @p309 (forall @t65 (or @t267 (= @t163 @t299)))) % 0.52/0.83 (assume @p310 (forall @t20 (= @t76 @t245))) % 0.52/0.83 (assume @p311 (forall @t47 (or @t9 (= @t303 (tptp.c_HOL_Oplus__class_Oplus @t39 @t36 @t1))))) % 0.52/0.83 (assume @p312 (forall @t249 (or @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t12 @t1) (tptp.c_HOL_Otimes__class_Otimes @t264 @t12 @t1))))) % 0.52/0.83 (assume @p313 (forall (@list @t108 @t277 @t276) (not (= @t275 @t278)))) % 0.52/0.83 (assume @p314 (forall (@list @t1 @t26 @t12) (or @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t265 @t12 @t1) @t314)))) % 0.52/0.83 (assume @p315 (forall (@list @t1 @t12 @t26) (or @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t265 @t1) @t314)))) % 0.52/0.83 (assume @p316 (forall @t316 (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t315 @t115) (tptp.c_Lambda_Osubst @t57 @t115 @t73)))) % 0.52/0.83 (assume @p317 (forall (@list @t13 @t57 @t53) (= (tptp.c_Lambda_Oliftn @t13 @t315 @t53) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t13 @t57 @t282))))) % 0.52/0.83 (assume @p318 (forall @t321 (or @t320 (= @t317 @t276)))) % 0.52/0.83 (assume @p319 (forall @t321 (or @t320 (= @t318 @t277)))) % 0.52/0.83 (assume @p320 (forall (@list @t52 @t115) (not (tptp.c_Lambda_Obeta @t56 @t115)))) % 0.52/0.83 (assume @p321 (forall @t84 (or @t51 (tptp.c_HOL_Oord__class_Oless @t26 @t313 @t1)))) % 0.52/0.83 (assume @p322 (forall (@list @t188 @t57) (or (tptp.c_Lambda_Obeta @t188 @t281) @t280))) % 0.52/0.83 (assume @p323 (forall @t324 (or (= @t323 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t131 @t106 tptp.tc_nat))) @t132))) % 0.52/0.83 (assume @p324 (forall @t59 (or (= @t311 @t257) @t256))) % 0.52/0.83 (assume @p325 (forall @t324 (or (= @t323 @t322) (not (tptp.c_HOL_Oord__class_Oless @t131 @t52 tptp.tc_nat))))) % 0.52/0.83 (assume @p326 (forall (@list @t53 @t270) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t53) @t270 @t53) @t270))) % 0.52/0.83 (assume @p327 (forall @t111 (or (not (= @t275 (tptp.c_Lambda_OdB_OVar @t107))) @t109))) % 0.52/0.83 (assume @p328 (forall @t272 (= (tptp.c_Lambda_Osubst @t271 @t57 @t53) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t115 @t57 @t53) (tptp.c_Lambda_Osubst @t270 @t57 @t53))))) % 0.52/0.83 (assume @p329 (forall @t125 (or @t248 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t76 @t1) (tptp.c_HOL_Oplus__class_Oplus @t124 @t123 @t1))))) % 0.52/0.83 (assume @p330 (forall (@list @t57 @t53) (= (tptp.c_Lambda_Olift @t315 @t53) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t57 @t282))))) % 0.52/0.83 (assume @p331 (forall (@list @t325 @t108) (not (= @t326 @t275)))) % 0.52/0.83 (assume @p332 (forall (@list @t318 @t317 @t325) (not (= @t319 @t326)))) % 0.52/0.83 (assume @p333 (forall (@list @t325 @t318 @t317) (not (= @t326 @t319)))) % 0.52/0.83 (assume @p334 (forall (@list @t327 @t325) (or (not (= (tptp.c_Lambda_OdB_OAbs @t327) @t326)) (= @t327 @t325)))) % 0.52/0.83 (assume @p335 (forall (@list @t108 @t325) (not (= @t275 @t326)))) % 0.52/0.83 (assume @p336 (forall (@list @t57 @t115 @t53) (= (tptp.c_Lambda_Olift @t259 @t53) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t57 @t53) @t283)))) % 0.52/0.83 (assume @p337 (forall (@list @t188) (or (tptp.c_InductTermi_OIT @t279) (not (tptp.c_InductTermi_OIT @t188))))) % 0.52/0.83 (assume @p338 (forall (@list @t115 @t53 @t57) (= (tptp.c_Lambda_Osubst @t283 @t57 @t53) @t115))) % 0.52/0.83 (assume @p339 (forall (@list @t188 @t52 @t57) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t188 @t52) @t286) @t312))) % 0.52/0.83 (assume @p340 (forall @t316 (or (tptp.c_Lambda_Obeta @t315 @t296) @t291))) % 0.52/0.83 (assume @p341 (tptp.c_InductTermi_OIT tptp.v_r)) % 0.52/0.83 (assume @p342 (forall (@list @t52) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift tptp.v_r @t52)))) % 0.52/0.83 (assume @p343 (not @t328)) % 0.52/0.83 (assume @p344 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.52/0.83 (assume @p345 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.52/0.83 (assume @p346 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.52/0.83 (assume @p347 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.52/0.83 (assume @p348 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.52/0.83 (assume @p349 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.52/0.83 (assume @p350 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.52/0.83 (assume @p351 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.52/0.83 (assume @p352 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.52/0.83 (assume @p353 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.52/0.83 (assume @p354 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.52/0.83 (assume @p355 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.52/0.83 (assume @p356 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.52/0.83 (assume @p357 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.52/0.83 (assume @p358 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.52/0.83 (assume @p359 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.52/0.83 (assume @p360 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.52/0.83 (assume @p361 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.52/0.83 (assume @p362 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.52/0.83 (assume @p363 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.52/0.83 (assume @p364 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.52/0.83 (assume @p365 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.52/0.83 (assume @p366 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.52/0.83 (assume @p367 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.52/0.83 (assume @p368 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.52/0.83 (step @p369 :rule evaluate :args ((= false true))) % 0.52/0.83 (step @p370 :rule instantiate :premises (@p337) :args ((@list @t330))) % 0.52/0.83 (step @p371 :rule instantiate :premises (@p342) :args ((@list @t329))) % 0.52/0.83 (step @p372 :rule cnf_or_pos :args (@t334)) % 0.52/0.83 (step @p373 :rule reordering :premises (@p372) :args ((or @t333 @t332 (not @t334)))) % 0.52/0.83 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p370) :args (@t333 (@list false false) (@list @t331 @t334))) % 0.52/0.83 (step @p375 :rule true_intro :premises (@p374)) % 0.52/0.83 (step @p376 :rule instantiate :premises (@p330) :args ((@list tptp.v_r tptp.v_ia))) % 0.52/0.83 (step @p377 :rule cong :premises (@p376) :args (@t328)) % 0.52/0.83 (step @p378 :rule false_intro :premises (@p343)) % 0.52/0.83 (step @p379 :rule symm :premises (@p378)) % 0.52/0.83 (step @p380 :rule trans :premises (@p379 @p377 @p375)) % 0.52/0.83 (step @p381 false :rule eq_resolve :premises (@p380 @p369)) % 0.52/0.83 ) % 0.52/0.84 % SZS output end Proof % 0.52/0.84 % cvc5 exiting %------------------------------------------------------------------------------