%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL855-1 : TPTP v9.3.1. 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 : n008.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 11:24:03 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.89s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL855-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n008.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Fri Sep 4 18:36:23 UTC 2026 % 0.12/0.38 % CPUTime : % 0.21/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.89 % SZS status Unsatisfiable % 0.29/0.89 % SZS output start Proof % 0.29/0.91 ( % 0.29/0.91 (declare-sort $$unsorted 0) % 0.29/0.91 (declare-const tptp.v_ta____ $$unsorted) % 0.29/0.91 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1 (-> $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_Lambda_OdB_OApp (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.tc_nat $$unsorted) % 0.29/0.91 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1 (-> $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.v_s____ $$unsorted) % 0.29/0.91 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.29/0.91 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.91 (define @t1 () (@var "T_a" $$unsorted)) % 0.29/0.91 (define @t2 () (@var "V_a" $$unsorted)) % 0.29/0.91 (define @t3 () (@var "V_b" $$unsorted)) % 0.29/0.91 (define @t4 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1)) % 0.29/0.91 (define @t5 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1)) % 0.29/0.91 (define @t6 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.29/0.91 (define @t7 () (@list @t1 @t2 @t3)) % 0.29/0.91 (define @t8 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.29/0.91 (define @t9 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.29/0.91 (define @t10 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.29/0.91 (define @t11 () (@list @t1)) % 0.29/0.91 (define @t12 () (@var "V_m" $$unsorted)) % 0.29/0.91 (define @t13 () (@var "V_n" $$unsorted)) % 0.29/0.91 (define @t14 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t15 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t16 () (@list @t12 @t13)) % 0.29/0.91 (define @t17 () (@var "V_x" $$unsorted)) % 0.29/0.91 (define @t18 () (@var "V_y" $$unsorted)) % 0.29/0.91 (define @t19 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t18 @t1)) % 0.29/0.91 (define @t20 () (@list @t1 @t17 @t18)) % 0.29/0.91 (define @t21 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1)) % 0.29/0.91 (define @t22 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.29/0.91 (define @t23 () (@var "V_z" $$unsorted)) % 0.29/0.91 (define @t24 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t23 @t1)) % 0.29/0.91 (define @t25 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t24 @t1)) % 0.29/0.91 (define @t26 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.29/0.91 (define @t27 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.29/0.91 (define @t28 () (@list @t1 @t17 @t18 @t23)) % 0.29/0.91 (define @t29 () (@var "V_c" $$unsorted)) % 0.29/0.91 (define @t30 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t29 @t1)) % 0.29/0.91 (define @t31 () (@var "V_d" $$unsorted)) % 0.29/0.91 (define @t32 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t31 @t1)) % 0.29/0.91 (define @t33 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t29 tptp.tc_nat)) % 0.29/0.91 (define @t34 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t31 tptp.tc_nat)) % 0.29/0.91 (define @t35 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t18 tptp.tc_nat)) % 0.29/0.91 (define @t36 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t23 tptp.tc_nat)) % 0.29/0.91 (define @t37 () (@list @t17 @t18 @t23)) % 0.29/0.91 (define @t38 () (tptp.c_Suc @t8)) % 0.29/0.91 (define @t39 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t8 tptp.tc_nat)) % 0.29/0.91 (define @t40 () (@var "V_e" $$unsorted)) % 0.29/0.91 (define @t41 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t21 @t40 @t1) @t29 @t1)) % 0.29/0.91 (define @t42 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t40 @t1)) % 0.29/0.91 (define @t43 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t40 @t1)) % 0.29/0.91 (define @t44 () (tptp.c_HOL_Oplus__class_Oplus @t43 @t29 @t1)) % 0.29/0.91 (define @t45 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.29/0.91 (define @t46 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t47 () (tptp.c_Suc @t46)) % 0.29/0.91 (define @t48 () (tptp.c_Suc @t13)) % 0.29/0.91 (define @t49 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t48 tptp.tc_nat)) % 0.29/0.91 (define @t50 () (tptp.c_Suc @t12)) % 0.29/0.91 (define @t51 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t52 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t31 @t1)) % 0.29/0.91 (define @t53 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1) @t40 @t1) @t31 @t1)) % 0.29/0.91 (define @t54 () (not (= @t44 @t52))) % 0.29/0.91 (define @t55 () (@list @t1 @t2 @t40 @t29 @t3 @t31)) % 0.29/0.91 (define @t56 () (@var "V_i" $$unsorted)) % 0.29/0.91 (define @t57 () (@list @t56 @t12)) % 0.29/0.91 (define @t58 () (tptp.c_HOL_Oord__class_Oless @t17 @t18 tptp.tc_nat)) % 0.29/0.91 (define @t59 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t23 tptp.tc_nat)) % 0.29/0.91 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t17 @t59 tptp.tc_nat)) % 0.29/0.91 (define @t61 () (@var "V_k" $$unsorted)) % 0.29/0.91 (define @t62 () (@var "V_j" $$unsorted)) % 0.29/0.91 (define @t63 () (tptp.c_HOL_Oplus__class_Oplus @t56 @t62 tptp.tc_nat)) % 0.29/0.91 (define @t64 () (tptp.c_HOL_Oord__class_Oless @t56 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t65 () (@list @t56 @t61 @t62)) % 0.29/0.91 (define @t66 () (not (tptp.c_HOL_Oord__class_Oless @t56 @t62 tptp.tc_nat))) % 0.29/0.91 (define @t67 () (tptp.c_HOL_Oplus__class_Oplus @t29 @t2 @t1)) % 0.29/0.91 (define @t68 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t29 @t1)) % 0.29/0.91 (define @t69 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1)) % 0.29/0.91 (define @t70 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1)) % 0.29/0.91 (define @t71 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.29/0.91 (define @t72 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t12 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t74 () (@var "V_l" $$unsorted)) % 0.29/0.91 (define @t75 () (not (tptp.c_HOL_Oord__class_Oless @t61 @t74 tptp.tc_nat))) % 0.29/0.91 (define @t76 () (tptp.c_HOL_Oplus__class_Oplus @t61 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t77 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t18 @t1)) % 0.29/0.91 (define @t78 () (= @t12 @t38)) % 0.29/0.91 (define @t79 () (not (= @t15 @t38))) % 0.29/0.91 (define @t80 () (= @t13 @t38)) % 0.29/0.91 (define @t81 () (not @t73)) % 0.29/0.91 (define @t82 () (= @t12 @t13)) % 0.29/0.91 (define @t83 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t13 @t1)) % 0.29/0.91 (define @t84 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t12 @t1)) % 0.29/0.91 (define @t85 () (@list @t1 @t12 @t13)) % 0.29/0.91 (define @t86 () (= @t2 @t9)) % 0.29/0.91 (define @t87 () (= @t13 @t8)) % 0.29/0.91 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t1)) % 0.29/0.91 (define @t89 () (= @t88 @t9)) % 0.29/0.91 (define @t90 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.29/0.91 (define @t91 () (@list @t1 @t17)) % 0.29/0.91 (define @t92 () (@list @t1 @t2)) % 0.29/0.91 (define @t93 () (@list @t12)) % 0.29/0.91 (define @t94 () (= @t61 @t8)) % 0.29/0.91 (define @t95 () (tptp.c_HOL_Otimes__class_Otimes @t61 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t96 () (tptp.c_HOL_Otimes__class_Otimes @t61 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t97 () (not (= @t96 @t95))) % 0.29/0.91 (define @t98 () (@list @t61 @t12 @t13)) % 0.29/0.91 (define @t99 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t100 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t101 () (@list @t12 @t61 @t13)) % 0.29/0.91 (define @t102 () (= @t12 @t8)) % 0.29/0.91 (define @t103 () (not (= @t46 @t8))) % 0.29/0.91 (define @t104 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1)) % 0.29/0.91 (define @t105 () (tptp.c_HOL_Oord__class_Oless @t29 @t53 @t1)) % 0.29/0.91 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t44 @t52 @t1)) % 0.29/0.91 (define @t107 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.29/0.91 (define @t108 () (not @t106)) % 0.29/0.91 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t41 @t31 @t1)) % 0.29/0.91 (define @t110 () (= @t3 @t9)) % 0.29/0.91 (define @t111 () (not (= @t5 @t9))) % 0.29/0.91 (define @t112 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.29/0.91 (define @t113 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.29/0.91 (define @t114 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t115 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t23 @t1)) % 0.29/0.91 (define @t116 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t115 @t1)) % 0.29/0.91 (define @t117 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t23 @t1)) % 0.29/0.91 (define @t118 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t23 tptp.tc_nat)) % 0.29/0.91 (define @t119 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t120 () (@list @t12 @t13 @t61)) % 0.29/0.91 (define @t121 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t29 @t1)) % 0.29/0.91 (define @t122 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t121 @t1)) % 0.29/0.91 (define @t123 () (tptp.c_HOL_Oplus__class_Oplus @t70 @t29 @t1)) % 0.29/0.91 (define @t124 () (= @t123 @t122)) % 0.29/0.91 (define @t125 () (@list @t1 @t2 @t3 @t29)) % 0.29/0.91 (define @t126 () (tptp.c_HOL_Oplus__class_Oplus @t29 @t31 @t1)) % 0.29/0.91 (define @t127 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t126 @t1)) % 0.29/0.91 (define @t128 () (@list @t1 @t2 @t29 @t31)) % 0.29/0.91 (define @t129 () (tptp.c_HOL_Oord__class_Oless @t8 @t46 tptp.tc_nat)) % 0.29/0.91 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t8 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t131 () (tptp.c_HOL_Oord__class_Oless @t8 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t132 () (@list @t13 @t12)) % 0.29/0.91 (define @t133 () (@var "V_u" $$unsorted)) % 0.29/0.91 (define @t134 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t38 tptp.tc_nat)) % 0.29/0.91 (define @t135 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t136 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t56 @t62 tptp.tc_nat) @t61 tptp.tc_nat)) % 0.29/0.91 (define @t137 () (@list @t56 @t62 @t61)) % 0.29/0.91 (define @t138 () (@var "V_xa" $$unsorted)) % 0.29/0.91 (define @t139 () (@var "V_y_H" $$unsorted)) % 0.29/0.91 (define @t140 () (@var "V_x_H" $$unsorted)) % 0.29/0.91 (define @t141 () (tptp.c_HOL_Ominus__class_Ominus @t140 @t139 @t1)) % 0.29/0.91 (define @t142 () (tptp.c_HOL_Oord__class_Oless @t8 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t143 () (not @t142)) % 0.29/0.91 (define @t144 () (not (= @t38 @t46))) % 0.29/0.91 (define @t145 () (tptp.c_HOL_Oord__class_Oless @t100 @t99 tptp.tc_nat)) % 0.29/0.91 (define @t146 () (not @t145)) % 0.29/0.91 (define @t147 () (tptp.c_HOL_Oord__class_Oless @t96 @t95 tptp.tc_nat)) % 0.29/0.91 (define @t148 () (not @t147)) % 0.29/0.91 (define @t149 () (@list @t13)) % 0.29/0.91 (define @t150 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t151 () (tptp.c_HOL_Oplus__class_Oplus @t61 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t152 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.29/0.91 (define @t153 () (tptp.c_HOL_Oord__class_Oless @t8 @t15 tptp.tc_nat)) % 0.29/0.91 (define @t154 () (not @t153)) % 0.29/0.91 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t2 @t9 @t1)) % 0.29/0.91 (define @t156 () (not @t155)) % 0.29/0.91 (define @t157 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t9 @t1))) % 0.29/0.91 (define @t158 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.29/0.91 (define @t159 () (= @t17 @t18)) % 0.29/0.91 (define @t160 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t18 @t1)) % 0.29/0.91 (define @t161 () (= @t2 @t3)) % 0.29/0.91 (define @t162 () (not (= @t21 @t9))) % 0.29/0.91 (define @t163 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.29/0.91 (define @t164 () (tptp.c_Suc @t61)) % 0.29/0.91 (define @t165 () (tptp.c_HOL_Otimes__class_Otimes @t164 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t166 () (tptp.c_HOL_Otimes__class_Otimes @t164 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t166 @t165 tptp.tc_nat)) % 0.29/0.91 (define @t168 () (= @t18 @t23)) % 0.29/0.91 (define @t169 () (= @t3 @t29)) % 0.29/0.91 (define @t170 () (not (= @t70 @t68))) % 0.29/0.91 (define @t171 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.29/0.91 (define @t172 () (@list @t1 @t3 @t2 @t29)) % 0.29/0.91 (define @t173 () (not (= @t46 @t38))) % 0.29/0.91 (define @t174 () (= @t17 @t9)) % 0.29/0.91 (define @t175 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t17 @t1)) % 0.29/0.91 (define @t176 () (tptp.c_HOL_Oplus__class_Oplus @t175 (tptp.c_HOL_Otimes__class_Otimes @t18 @t18 @t1) @t1)) % 0.29/0.91 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t9 @t176 @t1)) % 0.29/0.91 (define @t178 () (= @t18 @t9)) % 0.29/0.91 (define @t179 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t31 @t1)) % 0.29/0.91 (define @t180 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.29/0.91 (define @t181 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t29 @t2 @t1) (tptp.c_HOL_Otimes__class_Otimes @t29 @t3 @t1) @t1)) % 0.29/0.91 (define @t182 () (not @t181)) % 0.29/0.91 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t9 @t29 @t1)) % 0.29/0.91 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t29 @t9 @t1)) % 0.29/0.91 (define @t185 () (@list @t1 @t29 @t2 @t3)) % 0.29/0.91 (define @t186 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.29/0.91 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.29/0.91 (define @t188 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t29 @t1)) % 0.29/0.91 (define @t189 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t29 @t1)) % 0.29/0.91 (define @t190 () (tptp.c_HOL_Oord__class_Oless @t189 @t188 @t1)) % 0.29/0.91 (define @t191 () (not @t190)) % 0.29/0.91 (define @t192 () (not @t184)) % 0.29/0.91 (define @t193 () (not @t187)) % 0.29/0.91 (define @t194 () (not @t183)) % 0.29/0.91 (define @t195 () (not @t186)) % 0.29/0.91 (define @t196 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.29/0.91 (define @t197 () (@list @t1 @t2 @t29 @t3)) % 0.29/0.91 (define @t198 () (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t2 @t1) @t2)) % 0.29/0.91 (define @t199 () (@list @t17)) % 0.29/0.91 (define @t200 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t9 @t1) @t2)) % 0.29/0.91 (define @t201 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.29/0.91 (define @t202 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t9 @t1)) % 0.29/0.91 (define @t203 () (tptp.c_HOL_Oplus__class_Oplus @t202 @t202 @t1)) % 0.29/0.91 (define @t204 () (not @t131)) % 0.29/0.91 (define @t205 () (not @t130)) % 0.29/0.91 (define @t206 () (tptp.c_HOL_Oord__class_Oless @t9 @t104 @t1)) % 0.29/0.91 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t9 @t2 @t1)) % 0.29/0.91 (define @t208 () (not @t207)) % 0.29/0.91 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t104 @t9 @t1)) % 0.29/0.91 (define @t210 () (not @t209)) % 0.29/0.91 (define @t211 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.29/0.91 (define @t212 () (tptp.c_HOL_Oord__class_Oless @t9 @t3 @t1)) % 0.29/0.91 (define @t213 () (@list @t1 @t3 @t2)) % 0.29/0.91 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t9 @t5 @t1)) % 0.29/0.91 (define @t215 () (not @t212)) % 0.29/0.91 (define @t216 () (@var "V_w" $$unsorted)) % 0.29/0.91 (define @t217 () (= @t216 @t17)) % 0.29/0.91 (define @t218 () (= @t29 @t31)) % 0.29/0.91 (define @t219 () (@list @t1 @t2 @t29 @t3 @t31)) % 0.29/0.91 (define @t220 () (@var "V_ry" $$unsorted)) % 0.29/0.91 (define @t221 () (@var "V_ly" $$unsorted)) % 0.29/0.91 (define @t222 () (@var "V_rx" $$unsorted)) % 0.29/0.91 (define @t223 () (@var "V_lx" $$unsorted)) % 0.29/0.91 (define @t224 () (tptp.c_HOL_Otimes__class_Otimes @t223 @t222 @t1)) % 0.29/0.91 (define @t225 () (tptp.c_HOL_Otimes__class_Otimes @t222 @t220 @t1)) % 0.29/0.91 (define @t226 () (tptp.c_HOL_Otimes__class_Otimes @t223 @t221 @t1)) % 0.29/0.91 (define @t227 () (tptp.c_HOL_Otimes__class_Otimes @t226 @t225 @t1)) % 0.29/0.91 (define @t228 () (@list @t1 @t223 @t221 @t222 @t220)) % 0.29/0.91 (define @t229 () (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t2 @t1) @t9)) % 0.29/0.91 (define @t230 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t9 @t1) @t9)) % 0.29/0.91 (define @t231 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.29/0.91 (define @t232 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t8 tptp.tc_nat)) % 0.29/0.91 (define @t234 () (not (tptp.c_HOL_Oord__class_Oless @t62 @t61 tptp.tc_nat))) % 0.29/0.91 (define @t235 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t236 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.29/0.91 (define @t237 () (tptp.c_HOL_Oplus__class_Oplus @t56 @t61 tptp.tc_nat)) % 0.29/0.91 (define @t238 () (tptp.c_HOL_Oord__class_Oless @t21 @t9 @t1)) % 0.29/0.91 (define @t239 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.29/0.91 (define @t240 () (tptp.c_HOL_Oord__class_Oless @t84 @t83 @t1)) % 0.29/0.91 (define @t241 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.29/0.91 (define @t242 () (tptp.c_HOL_Oord__class_Oless @t5 @t9 @t1)) % 0.29/0.91 (define @t243 () (@var "V_r" $$unsorted)) % 0.29/0.91 (define @t244 () (not (= @t176 @t9))) % 0.29/0.91 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t56 (tptp.c_HOL_Ominus__class_Ominus @t62 @t61 tptp.tc_nat) tptp.tc_nat)) % 0.29/0.91 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t237 @t62 tptp.tc_nat)) % 0.29/0.91 (define @t247 () (tptp.c_HOL_Oord__class_Oless @t68 @t121 @t1)) % 0.29/0.91 (define @t248 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.29/0.91 (define @t249 () (tptp.c_HOL_Oord__class_Oless @t67 (tptp.c_HOL_Oplus__class_Oplus @t29 @t3 @t1) @t1)) % 0.29/0.91 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t151 @t76 tptp.tc_nat)) % 0.29/0.91 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t8 @t235 tptp.tc_nat)) % 0.29/0.91 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t17 @t18 @t1)) % 0.29/0.91 (define @t253 () (not @t252)) % 0.29/0.91 (define @t254 () (tptp.c_HOL_Oord__class_Oless @t140 @t139 @t1)) % 0.29/0.91 (define @t255 () (not (= @t160 @t141))) % 0.29/0.91 (define @t256 () (@list @t1 @t17 @t18 @t140 @t139)) % 0.29/0.91 (define @t257 () (tptp.c_HOL_Otimes__class_Otimes @t226 @t222 @t1)) % 0.29/0.91 (define @t258 () (@list @t1 @t223 @t221 @t222)) % 0.29/0.91 (define @t259 () (tptp.c_HOL_Otimes__class_Otimes @t223 @t225 @t1)) % 0.29/0.91 (define @t260 () (@list @t1 @t223 @t222 @t220)) % 0.29/0.91 (define @t261 () (= (tptp.c_HOL_Otimes__class_Otimes @t70 @t29 @t1) (tptp.c_HOL_Oplus__class_Oplus @t189 @t188 @t1))) % 0.29/0.91 (define @t262 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.29/0.91 (define @t263 () (tptp.c_HOL_Oord__class_Oless @t18 @t17 @t1)) % 0.29/0.91 (define @t264 () (not @t263)) % 0.29/0.91 (define @t265 () (@list @t1 @t18 @t17)) % 0.29/0.91 (define @t266 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.29/0.91 (define @t267 () (not (tptp.class_Orderings_Oorder @t1))) % 0.29/0.91 (define @t268 () (tptp.c_Suc @t56)) % 0.29/0.91 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t12 @t48 tptp.tc_nat)) % 0.29/0.91 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t50 @t13 tptp.tc_nat)) % 0.29/0.91 (define @t271 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t13 tptp.tc_nat))) % 0.29/0.91 (define @t272 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t12 tptp.tc_nat))) % 0.29/0.91 (define @t273 () (@var "V_t" $$unsorted)) % 0.29/0.91 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t9 @t83 @t1)) % 0.29/0.91 (define @t275 () (@list @t1 @t13)) % 0.29/0.91 (define @t276 () (tptp.c_Suc @t17)) % 0.29/0.91 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t17 @t276 tptp.tc_nat)) % 0.29/0.91 (define @t278 () (@var "V_nat_H" $$unsorted)) % 0.29/0.91 (define @t279 () (tptp.c_Suc @t278)) % 0.29/0.91 (define @t280 () (@list @t278)) % 0.29/0.91 (define @t281 () (tptp.c_HOL_Oord__class_Oless @t13 @t12 tptp.tc_nat)) % 0.29/0.91 (define @t282 () (tptp.c_Lambda_OdB_OVar @t56)) % 0.29/0.91 (define @t283 () (tptp.c_Lambda_Oliftn @t13 @t282 @t61)) % 0.29/0.91 (define @t284 () (@list @t13 @t56 @t61)) % 0.29/0.91 (define @t285 () (not (tptp.c_HOL_Oord__class_Oless @t17 @t17 @t1))) % 0.29/0.91 (define @t286 () (tptp.c_HOL_Oord__class_Oless @t17 @t17 tptp.tc_nat)) % 0.29/0.91 (define @t287 () (not @t269)) % 0.29/0.91 (define @t288 () (tptp.c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1 @t12 @t13)) % 0.29/0.91 (define @t289 () (tptp.c_HOL_Oord__class_Oless @t13 @t50 tptp.tc_nat)) % 0.29/0.91 (define @t290 () (not @t289)) % 0.29/0.91 (define @t291 () (@var "V_nat" $$unsorted)) % 0.29/0.91 (define @t292 () (= @t291 @t278)) % 0.29/0.91 (define @t293 () (@list @t291 @t278)) % 0.29/0.91 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t50 @t48 tptp.tc_nat)) % 0.29/0.91 (define @t295 () (@var "V_s" $$unsorted)) % 0.29/0.91 (define @t296 () (not (tptp.c_Lambda_Obeta @t295 @t273))) % 0.29/0.91 (define @t297 () (tptp.c_Lambda_OdB_OAbs @t295)) % 0.29/0.91 (define @t298 () (@list @t295 @t273)) % 0.29/0.91 (define @t299 () (tptp.c_Lambda_OdB_OAbs @t243)) % 0.29/0.91 (define @t300 () (not (tptp.c_Lambda_Obeta @t299 @t295))) % 0.29/0.91 (define @t301 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t243 @t295)) % 0.29/0.91 (define @t302 () (tptp.c_Lambda_OdB_OVar @t17)) % 0.29/0.91 (define @t303 () (@list @t17 @t295)) % 0.29/0.91 (define @t304 () (not (tptp.c_Lambda_Obeta @t243 @t295))) % 0.29/0.91 (define @t305 () (not @t64)) % 0.29/0.91 (define @t306 () (tptp.c_Lambda_Olift @t273 @t61)) % 0.29/0.91 (define @t307 () (tptp.c_Lambda_Osubst @t306 @t295 @t61)) % 0.29/0.91 (define @t308 () (forall (@list @t273 @t61 @t295) (= @t307 @t273))) % 0.29/0.91 (define @t309 () (tptp.c_HOL_Oord__class_Oless @t61 @t56 tptp.tc_nat)) % 0.29/0.91 (define @t310 () (= @t56 @t61)) % 0.29/0.91 (define @t311 () (@list @t56 @t295 @t61)) % 0.29/0.91 (define @t312 () (tptp.c_Lambda_Oliftn @t13 @t273 @t61)) % 0.29/0.91 (define @t313 () (@var "V_dB_H" $$unsorted)) % 0.29/0.91 (define @t314 () (tptp.c_Lambda_OdB_OAbs @t313)) % 0.29/0.91 (define @t315 () (tptp.c_Lambda_OdB_OVar @t291)) % 0.29/0.91 (define @t316 () (@var "V_dB" $$unsorted)) % 0.29/0.91 (define @t317 () (tptp.c_Lambda_OdB_OVar @t62)) % 0.29/0.91 (define @t318 () (not (tptp.c_InductTermi_OIT @t243))) % 0.29/0.91 (define @t319 () (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t61) @t133 @t61)) % 0.29/0.91 (define @t320 () (forall (@list @t61 @t133) (= @t319 @t133))) % 0.29/0.91 (define @t321 () (tptp.c_Lambda_OdB_OApp @t273 @t133)) % 0.29/0.91 (define @t322 () (@list @t273 @t133 @t295 @t61)) % 0.29/0.91 (define @t323 () (@var "V_dB2" $$unsorted)) % 0.29/0.91 (define @t324 () (@var "V_dB1" $$unsorted)) % 0.29/0.91 (define @t325 () (tptp.c_Lambda_OdB_OApp @t324 @t323)) % 0.29/0.91 (define @t326 () (@var "V_dB1_H" $$unsorted)) % 0.29/0.91 (define @t327 () (@var "V_dB2_H" $$unsorted)) % 0.29/0.91 (define @t328 () (tptp.c_Lambda_OdB_OApp @t326 @t327)) % 0.29/0.91 (define @t329 () (not (= @t325 @t328))) % 0.29/0.91 (define @t330 () (@list @t324 @t323 @t326 @t327)) % 0.29/0.91 (define @t331 () (not (tptp.c_InductTermi_OIT @t273))) % 0.29/0.91 (define @t332 () (@list @t273 @t56)) % 0.29/0.91 (define @t333 () (tptp.c_Lambda_OdB_OApp @t295 @t273)) % 0.29/0.91 (define @t334 () (tptp.c_Lambda_Olift tptp.v_ta____ @t8)) % 0.29/0.91 (define @t335 () (tptp.c_Lambda_OdB_OVar @t8)) % 0.29/0.91 (define @t336 () (tptp.c_Lambda_OdB_OApp tptp.v_s____ tptp.v_ta____)) % 0.29/0.91 (define @t337 () (tptp.c_InductTermi_OIT @t336)) % 0.29/0.91 (assume @p1 (forall @t7 (or @t6 (= @t5 @t4)))) % 0.29/0.91 (assume @p2 (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t8 tptp.tc_nat) @t8)) % 0.29/0.91 (assume @p3 (forall @t11 (or @t10 (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t9 @t1) @t9)))) % 0.29/0.91 (assume @p4 (forall @t16 (= @t15 @t14))) % 0.29/0.91 (assume @p5 (forall @t20 (or @t6 (= @t19 (tptp.c_HOL_Otimes__class_Otimes @t18 @t17 @t1))))) % 0.29/0.91 (assume @p6 (forall @t7 (or @t22 (= (tptp.c_HOL_Oplus__class_Oplus @t21 @t3 @t1) @t2)))) % 0.29/0.91 (assume @p7 (forall @t28 (or @t27 @t26 (= @t25 (tptp.c_HOL_Oplus__class_Oplus @t24 @t19 @t1))))) % 0.29/0.91 (assume @p8 (forall (@list @t1 @t17 @t29 @t31) (or @t27 @t26 (= (tptp.c_HOL_Oplus__class_Oplus @t30 @t32 @t1) (tptp.c_HOL_Oplus__class_Oplus @t32 @t30 @t1))))) % 0.29/0.91 (assume @p9 (forall (@list @t17 @t29 @t31) (= (tptp.c_HOL_Oplus__class_Oplus @t33 @t34 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t34 @t33 tptp.tc_nat)))) % 0.29/0.91 (assume @p10 (forall @t37 (= (tptp.c_HOL_Oplus__class_Oplus @t35 @t36 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t36 @t35 tptp.tc_nat)))) % 0.29/0.91 (assume @p11 (= @t39 @t38)) % 0.29/0.91 (assume @p12 (forall (@list @t1 @t2 @t40 @t29 @t3) (or @t45 (= @t44 (tptp.c_HOL_Oplus__class_Oplus @t42 @t41 @t1))))) % 0.29/0.91 (assume @p13 (forall @t16 (= @t49 @t47))) % 0.29/0.91 (assume @p14 (forall @t16 (= @t51 @t47))) % 0.29/0.91 (assume @p15 (forall (@list @t1 @t2 @t40 @t3 @t31) (or @t45 (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t53 @t1) @t52)))) % 0.29/0.91 (assume @p16 (forall @t55 (or @t45 @t54 (= @t29 @t53)))) % 0.29/0.91 (assume @p17 (forall @t55 (or @t45 @t54 (= @t41 @t31)))) % 0.29/0.91 (assume @p18 (forall @t57 (tptp.c_HOL_Oord__class_Oless @t56 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t56 @t12 tptp.tc_nat)) tptp.tc_nat))) % 0.29/0.91 (assume @p19 (forall @t57 (tptp.c_HOL_Oord__class_Oless @t56 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t12 @t56 tptp.tc_nat)) tptp.tc_nat))) % 0.29/0.91 (assume @p20 (forall (@list @t12 @t17) (tptp.c_HOL_Oord__class_Oless @t12 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t12 @t17 tptp.tc_nat)) tptp.tc_nat))) % 0.29/0.91 (assume @p21 (forall @t37 (or @t60 (not @t58)))) % 0.29/0.91 (assume @p22 (forall @t37 (or @t60 (not (tptp.c_HOL_Oord__class_Oless @t17 @t23 tptp.tc_nat))))) % 0.29/0.91 (assume @p23 (forall @t65 (or @t64 (not (tptp.c_HOL_Oord__class_Oless @t63 @t61 tptp.tc_nat))))) % 0.29/0.91 (assume @p24 (forall (@list @t56 @t62 @t12) (or (tptp.c_HOL_Oord__class_Oless @t56 (tptp.c_HOL_Oplus__class_Oplus @t62 @t12 tptp.tc_nat) tptp.tc_nat) @t66))) % 0.29/0.91 (assume @p25 (forall (@list @t56 @t12 @t62) (or (tptp.c_HOL_Oord__class_Oless @t56 (tptp.c_HOL_Oplus__class_Oplus @t12 @t62 tptp.tc_nat) tptp.tc_nat) @t66))) % 0.29/0.91 (assume @p26 (forall (@list @t1 @t2 @t29) (or @t6 (= @t68 @t67)))) % 0.29/0.91 (assume @p27 (forall @t7 (or @t71 (= @t70 @t69)))) % 0.29/0.91 (assume @p28 (forall @t16 (= @t46 @t72))) % 0.29/0.91 (assume @p29 (forall (@list @t12 @t74 @t61 @t13) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t74 tptp.tc_nat) @t76)) @t75 @t73))) % 0.29/0.91 (assume @p30 (forall @t20 (or @t6 (= @t77 (tptp.c_HOL_Oplus__class_Oplus @t18 @t17 @t1))))) % 0.29/0.91 (assume @p31 (forall @t16 (or @t79 @t78))) % 0.29/0.91 (assume @p32 (forall @t16 (or @t79 @t80))) % 0.29/0.91 (assume @p33 (forall (@list @t74 @t13 @t12) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t74 @t13 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t74 @t12 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t12 @t74 tptp.tc_nat)) @t81))) % 0.29/0.91 (assume @p34 (forall @t85 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t84 @t83)) @t82))) % 0.29/0.91 (assume @p35 (forall (@list @t1 @t17 @t2) (or @t27 @t26 (not (= @t17 (tptp.c_HOL_Oplus__class_Oplus @t17 @t2 @t1))) @t86))) % 0.29/0.91 (assume @p36 (forall @t16 (or (not (= @t46 @t12)) @t87))) % 0.29/0.91 (assume @p37 (forall (@list @t17 @t2) (or (not (= @t17 (tptp.c_HOL_Oplus__class_Oplus @t17 @t2 tptp.tc_nat))) (= @t2 @t8)))) % 0.29/0.91 (assume @p38 (forall @t91 (or @t90 @t89))) % 0.29/0.91 (assume @p39 (forall @t91 (or @t22 @t89))) % 0.29/0.91 (assume @p40 (forall @t92 (or @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t9 @t1) @t2)))) % 0.29/0.91 (assume @p41 (forall @t92 (or @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1) @t9)))) % 0.29/0.91 (assume @p42 (forall @t91 (or @t27 @t26 @t89))) % 0.29/0.91 (assume @p43 (forall @t93 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 tptp.tc_nat) @t8))) % 0.29/0.91 (assume @p44 (forall @t93 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t8 tptp.tc_nat) @t12))) % 0.29/0.91 (assume @p45 (forall @t98 (or @t97 @t82 @t94))) % 0.29/0.91 (assume @p46 (forall @t98 (or @t97 @t94 @t82))) % 0.29/0.91 (assume @p47 (forall @t101 (or (not (= @t100 @t99)) @t94 @t82))) % 0.29/0.91 (assume @p48 (forall @t16 (or @t103 @t102))) % 0.29/0.91 (assume @p49 (forall @t16 (or @t103 @t87))) % 0.29/0.91 (assume @p50 (forall @t92 (or @t10 (not (= @t104 @t9)) @t86))) % 0.29/0.91 (assume @p51 (forall @t55 (or @t107 @t106 (not @t105)))) % 0.29/0.91 (assume @p52 (forall (@list @t1 @t29 @t3 @t2 @t40 @t31) (or @t107 @t105 @t108))) % 0.29/0.91 (assume @p53 (forall @t55 (or @t107 @t106 (not @t109)))) % 0.29/0.91 (assume @p54 (forall (@list @t1 @t2 @t3 @t40 @t29 @t31) (or @t107 @t109 @t108))) % 0.29/0.91 (assume @p55 (forall @t7 (or @t112 @t111 @t110 @t86))) % 0.29/0.91 (assume @p56 (forall @t7 (or @t113 @t111 @t110 @t86))) % 0.29/0.91 (assume @p57 (forall @t16 (tptp.c_HOL_Oord__class_Oless @t114 @t50 tptp.tc_nat))) % 0.29/0.91 (assume @p58 (forall @t28 (or @t6 (= @t116 (tptp.c_HOL_Oplus__class_Oplus @t77 @t23 @t1))))) % 0.29/0.91 (assume @p59 (forall @t28 (or @t90 (= @t116 (tptp.c_HOL_Oplus__class_Oplus @t18 @t117 @t1))))) % 0.29/0.91 (assume @p60 (forall @t37 (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t59 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t18 @t118 tptp.tc_nat)))) % 0.29/0.91 (assume @p61 (forall @t120 (= (tptp.c_HOL_Oplus__class_Oplus @t46 @t61 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t12 @t119 tptp.tc_nat)))) % 0.29/0.91 (assume @p62 (forall @t125 (or @t71 @t124))) % 0.29/0.91 (assume @p63 (forall @t125 (or @t71 (= @t122 (tptp.c_HOL_Oplus__class_Oplus @t3 @t68 @t1))))) % 0.29/0.91 (assume @p64 (forall @t125 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t124))) % 0.29/0.91 (assume @p65 (forall @t128 (or @t6 (= @t127 (tptp.c_HOL_Oplus__class_Oplus @t68 @t31 @t1))))) % 0.29/0.91 (assume @p66 (forall @t125 (or @t6 (= @t123 (tptp.c_HOL_Oplus__class_Oplus @t68 @t3 @t1))))) % 0.29/0.91 (assume @p67 (forall @t128 (or @t6 (= @t127 (tptp.c_HOL_Oplus__class_Oplus @t29 (tptp.c_HOL_Oplus__class_Oplus @t2 @t31 @t1) @t1))))) % 0.29/0.91 (assume @p68 (forall @t125 (or @t6 @t124))) % 0.29/0.91 (assume @p69 (forall @t132 (or @t131 @t130 (not @t129)))) % 0.29/0.91 (assume @p70 (forall (@list @t1 @t17 @t18 @t23 @t133) (or @t90 (not (= @t116 (tptp.c_HOL_Oplus__class_Oplus @t18 @t133 @t1))) (= @t117 @t133)))) % 0.29/0.91 (assume @p71 (= @t38 @t134)) % 0.29/0.91 (assume @p72 (forall @t132 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t72 tptp.tc_nat) @t8))) % 0.29/0.91 (assume @p73 (forall @t137 (= @t136 (tptp.c_HOL_Ominus__class_Ominus @t56 @t135 tptp.tc_nat)))) % 0.29/0.91 (assume @p74 (forall (@list @t1 @t138 @t18 @t17) (or @t90 (not (= (tptp.c_HOL_Ominus__class_Ominus @t138 @t18 @t1) @t88)) (= @t138 @t18)))) % 0.29/0.91 (assume @p75 (forall (@list @t1 @t17 @t140 @t139) (or @t90 (not (= @t88 @t141)) (= @t140 @t139)))) % 0.29/0.91 (assume @p76 (forall @t98 (or @t97 @t143 @t82))) % 0.29/0.91 (assume @p77 (forall @t16 (or @t144 @t80 @t87))) % 0.29/0.91 (assume @p78 (forall @t16 (or @t144 @t102 @t78))) % 0.29/0.91 (assume @p79 (forall @t98 (or @t142 @t146))) % 0.29/0.91 (assume @p80 (forall @t98 (or @t142 @t148))) % 0.29/0.91 (assume @p81 (forall @t16 (= @t51 @t49))) % 0.29/0.91 (assume @p82 (forall @t149 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t13 tptp.tc_nat) @t8))) % 0.29/0.91 (assume @p83 (forall @t101 (= (tptp.c_HOL_Ominus__class_Ominus @t150 @t119 tptp.tc_nat) @t114))) % 0.29/0.91 (assume @p84 (forall @t98 (= (tptp.c_HOL_Ominus__class_Ominus @t151 @t76 tptp.tc_nat) @t114))) % 0.29/0.91 (assume @p85 (forall (@list @t56 @t133 @t62 @t61) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t56 @t133 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t62 @t133 tptp.tc_nat) @t61 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t63 @t133 tptp.tc_nat) @t61 tptp.tc_nat)))) % 0.29/0.91 (assume @p86 (forall (@list @t1 @t2 @t40 @t3 @t29) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t43 (tptp.c_HOL_Oplus__class_Oplus @t42 @t29 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t70 @t40 @t1) @t29 @t1))))) % 0.29/0.91 (assume @p87 (forall @t11 (or @t152 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t1) @t9)))) % 0.29/0.91 (assume @p88 (forall @t132 (or @t131 @t154))) % 0.29/0.91 (assume @p89 (forall @t16 (or @t130 @t154))) % 0.29/0.91 (assume @p90 (forall @t7 (or @t158 (tptp.c_HOL_Oord__class_Oless @t70 @t9 @t1) @t157 @t156))) % 0.29/0.91 (assume @p91 (forall @t20 (or @t27 @t26 (not (= @t160 @t9)) @t159))) % 0.29/0.91 (assume @p92 (forall @t7 (or @t22 @t162 @t161))) % 0.29/0.91 (assume @p93 (forall @t7 (or @t90 @t162 @t161))) % 0.29/0.91 (assume @p94 (forall @t98 (= (tptp.c_HOL_Otimes__class_Otimes @t61 @t114 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t96 @t95 tptp.tc_nat)))) % 0.29/0.91 (assume @p95 (forall @t120 (= (tptp.c_HOL_Otimes__class_Otimes @t114 @t61 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t100 @t99 tptp.tc_nat)))) % 0.29/0.91 (assume @p96 (forall @t137 (= @t136 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t56 @t61 tptp.tc_nat) @t62 tptp.tc_nat)))) % 0.29/0.91 (assume @p97 (forall @t92 (or @t163 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1) @t9 @t1))))) % 0.29/0.91 (assume @p98 (forall @t98 (or @t167 @t81))) % 0.29/0.91 (assume @p99 (forall @t120 (or @t73 (not @t167)))) % 0.29/0.91 (assume @p100 (forall @t37 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t18 tptp.tc_nat) @t118)) @t168))) % 0.29/0.91 (assume @p101 (forall @t101 (or (not (= @t150 @t119)) @t82))) % 0.29/0.91 (assume @p102 (forall @t98 (or (not (= @t151 @t76)) @t82))) % 0.29/0.91 (assume @p103 (forall @t28 (or @t27 @t26 (not (= @t77 @t117)) @t168))) % 0.29/0.91 (assume @p104 (forall @t125 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t170 @t169))) % 0.29/0.91 (assume @p105 (forall @t125 (or @t171 @t170 @t169))) % 0.29/0.91 (assume @p106 (forall @t172 (or @t171 (not (= @t69 @t67)) @t169))) % 0.29/0.91 (assume @p107 (forall @t16 (or @t173 @t80 @t87))) % 0.29/0.91 (assume @p108 (forall @t16 (or @t173 @t102 @t78))) % 0.29/0.91 (assume @p109 (forall @t120 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t50 @t13 tptp.tc_nat) @t164 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t114 @t61 tptp.tc_nat)))) % 0.29/0.91 (assume @p110 (forall @t20 (or @t163 @t177 @t174))) % 0.29/0.91 (assume @p111 (forall @t20 (or @t163 @t177 @t178))) % 0.29/0.91 (assume @p112 (forall (@list @t1 @t2 @t3 @t29 @t31) (or @t6 (= (tptp.c_HOL_Oplus__class_Oplus @t70 @t126 @t1) (tptp.c_HOL_Oplus__class_Oplus @t68 @t179 @t1))))) % 0.29/0.91 (assume @p113 (forall (@list @t1 @t12) (or @t180 (not (tptp.c_HOL_Oord__class_Oless @t84 @t9 @t1))))) % 0.29/0.91 (assume @p114 (forall @t185 (or @t163 @t184 @t183 @t182))) % 0.29/0.91 (assume @p115 (forall @t172 (or @t163 @t187 @t186 @t182))) % 0.29/0.91 (assume @p116 (forall @t185 (or @t163 @t184 @t183 @t191))) % 0.29/0.91 (assume @p117 (forall @t172 (or @t163 @t187 @t186 @t191))) % 0.29/0.91 (assume @p118 (forall @t101 (or @t145 @t81 @t143))) % 0.29/0.91 (assume @p119 (forall @t98 (or @t147 @t81 @t143))) % 0.29/0.91 (assume @p120 (forall (@list @t61 @t56 @t62) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t61 @t56 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t61 @t62 tptp.tc_nat) tptp.tc_nat) @t143 @t66))) % 0.29/0.91 (assume @p121 (forall @t65 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t56 @t61 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t62 @t61 tptp.tc_nat) tptp.tc_nat) @t143 @t66))) % 0.29/0.91 (assume @p122 (forall @t120 (or @t73 @t148 @t143))) % 0.29/0.91 (assume @p123 (forall @t172 (or @t163 @t187 @t182 @t192))) % 0.29/0.91 (assume @p124 (forall @t185 (or @t163 @t181 @t193 @t192))) % 0.29/0.91 (assume @p125 (forall @t125 (or @t163 @t186 @t182 @t194))) % 0.29/0.91 (assume @p126 (forall @t185 (or @t163 @t181 @t195 @t194))) % 0.29/0.91 (assume @p127 (forall @t185 (or @t163 @t181 @t192 @t193))) % 0.29/0.91 (assume @p128 (forall @t185 (or @t196 @t181 @t194 @t195))) % 0.29/0.91 (assume @p129 (forall @t197 (or @t163 @t190 @t192 @t193))) % 0.29/0.91 (assume @p130 (forall @t197 (or @t196 @t190 @t194 @t195))) % 0.29/0.91 (assume @p131 (forall @t197 (or @t163 @t190 @t195 @t194))) % 0.29/0.91 (assume @p132 (forall @t197 (or @t163 @t190 @t193 @t192))) % 0.29/0.91 (assume @p133 (forall @t185 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t181 @t194 @t195))) % 0.29/0.91 (assume @p134 (forall (@list @t1 @t2 @t12 @t3) (or @t6 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t12 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t12 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t70 @t12 @t1))))) % 0.29/0.91 (assume @p135 (forall @t91 (or @t6 (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t17 @t1) @t17)))) % 0.29/0.91 (assume @p136 (forall @t92 (or @t71 @t198))) % 0.29/0.91 (assume @p137 (forall @t199 (= @t17 (tptp.c_HOL_Oplus__class_Oplus @t17 @t8 tptp.tc_nat)))) % 0.29/0.91 (assume @p138 (forall @t149 (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t13 tptp.tc_nat) @t13))) % 0.29/0.91 (assume @p139 (forall @t93 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t8 tptp.tc_nat) @t12))) % 0.29/0.91 (assume @p140 (forall @t91 (or @t27 @t26 (= @t17 (tptp.c_HOL_Oplus__class_Oplus @t17 @t9 @t1))))) % 0.29/0.91 (assume @p141 (forall @t92 (or @t71 @t200))) % 0.29/0.91 (assume @p142 (forall @t92 (or @t201 @t198))) % 0.29/0.91 (assume @p143 (forall @t92 (or @t201 @t200))) % 0.29/0.91 (assume @p144 (forall @t92 (or @t6 @t200))) % 0.29/0.91 (assume @p145 (forall @t92 (or @t6 @t198))) % 0.29/0.91 (assume @p146 (forall @t11 (or @t163 (not (tptp.c_HOL_Oord__class_Oless @t9 @t203 @t1))))) % 0.29/0.91 (assume @p147 (forall @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t46 @t13 tptp.tc_nat) @t12))) % 0.29/0.91 (assume @p148 (forall @t132 (= (tptp.c_HOL_Ominus__class_Ominus @t72 @t13 tptp.tc_nat) @t12))) % 0.29/0.91 (assume @p149 (forall @t7 (or @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t70 @t3 @t1) @t2)))) % 0.29/0.91 (assume @p150 (forall @t16 (or @t129 @t204))) % 0.29/0.91 (assume @p151 (forall @t16 (or @t129 @t205))) % 0.29/0.91 (assume @p152 (forall @t92 (or @t10 @t207 (not @t206)))) % 0.29/0.91 (assume @p153 (forall @t92 (or @t10 @t206 @t208))) % 0.29/0.91 (assume @p154 (forall @t7 (or @t113 @t111 @t86 @t110))) % 0.29/0.91 (assume @p155 (forall @t16 (or (not (= @t15 @t8)) @t87 @t102))) % 0.29/0.91 (assume @p156 (forall @t92 (or @t10 @t209 @t156))) % 0.29/0.91 (assume @p157 (forall @t92 (or @t10 @t155 @t210))) % 0.29/0.91 (assume @p158 (forall @t92 (or @t211 @t155 @t210))) % 0.29/0.91 (assume @p159 (forall @t92 (or @t211 @t209 @t156))) % 0.29/0.91 (assume @p160 (forall @t16 (or @t144 @t80 @t78))) % 0.29/0.91 (assume @p161 (forall @t16 (or @t144 @t102 @t87))) % 0.29/0.91 (assume @p162 (forall @t213 (or @t196 @t212 @t208 (not (tptp.c_HOL_Oord__class_Oless @t9 @t4 @t1))))) % 0.29/0.91 (assume @p163 (forall @t213 (or @t196 @t212 @t208 (not @t214)))) % 0.29/0.91 (assume @p164 (forall @t7 (or @t196 @t214 @t215 @t208))) % 0.29/0.91 (assume @p165 (forall @t7 (or @t163 @t214 @t157 @t156))) % 0.29/0.91 (assume @p166 (forall @t16 (or @t153 @t204 @t205))) % 0.29/0.91 (assume @p167 (forall @t16 (= (tptp.c_HOL_Otimes__class_Otimes @t12 @t48 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t12 @t15 tptp.tc_nat)))) % 0.29/0.91 (assume @p168 (forall @t16 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t13 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t13 @t15 tptp.tc_nat)))) % 0.29/0.91 (assume @p169 (forall @t20 (or @t163 (not (tptp.c_HOL_Oord__class_Oless @t176 @t9 @t1))))) % 0.29/0.91 (assume @p170 (forall @t85 (or @t152 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1) (tptp.c_HOL_Otimes__class_Otimes @t84 @t83 @t1))))) % 0.29/0.91 (assume @p171 (forall (@list @t1 @t216 @t18 @t17 @t23) (or @t27 @t26 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t216 @t18 @t1) @t24 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t216 @t23 @t1) @t19 @t1))) @t168 @t217))) % 0.29/0.91 (assume @p172 (forall @t219 (or @t27 @t26 (not (= (tptp.c_HOL_Oplus__class_Oplus @t189 (tptp.c_HOL_Otimes__class_Otimes @t3 @t31 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t31 @t1) @t188 @t1))) @t218 @t161))) % 0.29/0.91 (assume @p173 (forall (@list @t2 @t29 @t3 @t31) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t29 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t3 @t31 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t31 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t3 @t29 tptp.tc_nat) tptp.tc_nat))) @t218 @t161))) % 0.29/0.91 (assume @p174 (forall (@list @t216 @t18 @t17 @t23) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t216 @t18 tptp.tc_nat) @t36 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t216 @t23 tptp.tc_nat) @t35 tptp.tc_nat))) @t168 @t217))) % 0.29/0.91 (assume @p175 (forall @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t50 @t48 tptp.tc_nat) @t114))) % 0.29/0.91 (assume @p176 (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t38 tptp.tc_nat) @t38)) % 0.29/0.91 (assume @p177 (forall @t228 (or @t6 (= @t227 (tptp.c_HOL_Otimes__class_Otimes @t224 (tptp.c_HOL_Otimes__class_Otimes @t221 @t220 @t1) @t1))))) % 0.29/0.91 (assume @p178 (forall @t228 (or @t6 (= @t227 (tptp.c_HOL_Otimes__class_Otimes @t223 (tptp.c_HOL_Otimes__class_Otimes @t221 @t225 @t1) @t1))))) % 0.29/0.91 (assume @p179 (forall @t228 (or @t6 (= @t227 (tptp.c_HOL_Otimes__class_Otimes @t222 (tptp.c_HOL_Otimes__class_Otimes @t226 @t220 @t1) @t1))))) % 0.29/0.91 (assume @p180 (forall @t92 (or @t6 @t229))) % 0.29/0.91 (assume @p181 (forall @t92 (or @t6 @t230))) % 0.29/0.91 (assume @p182 (forall @t92 (or @t112 @t230))) % 0.29/0.91 (assume @p183 (forall (@list @t1 @t3) (or @t112 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t3 @t1) @t9)))) % 0.29/0.91 (assume @p184 (forall @t92 (or @t231 @t230))) % 0.29/0.91 (assume @p185 (forall @t92 (or @t231 @t229))) % 0.29/0.91 (assume @p186 (forall @t149 (= @t232 @t8))) % 0.29/0.91 (assume @p187 (forall @t93 (= @t233 @t8))) % 0.29/0.91 (assume @p188 (forall @t91 (or @t6 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t17 @t1) @t9)))) % 0.29/0.91 (assume @p189 (forall (@list @t62 @t13 @t61) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t62 @t13 tptp.tc_nat) @t61 tptp.tc_nat) @t234))) % 0.29/0.91 (assume @p190 (= @t38 @t39)) % 0.29/0.91 (assume @p191 (forall @t7 (or @t158 (tptp.c_HOL_Oord__class_Oless @t9 @t70 @t1) @t215 @t208))) % 0.29/0.91 (assume @p192 (forall @t132 (or (not (= @t235 @t8)) (not (= @t114 @t8)) @t82))) % 0.29/0.91 (assume @p193 (forall @t219 (or @t236 (tptp.c_HOL_Oord__class_Oless @t68 @t179 @t1) (not (tptp.c_HOL_Oord__class_Oless @t29 @t31 @t1)) @t195))) % 0.29/0.91 (assume @p194 (forall (@list @t56 @t61 @t62 @t74) (or (tptp.c_HOL_Oord__class_Oless @t237 (tptp.c_HOL_Oplus__class_Oplus @t62 @t74 tptp.tc_nat) tptp.tc_nat) @t75 @t66))) % 0.29/0.91 (assume @p195 (forall @t7 (or @t239 @t186 (not @t238)))) % 0.29/0.91 (assume @p196 (forall @t7 (or @t239 @t238 @t195))) % 0.29/0.91 (assume @p197 (forall @t85 (or @t180 @t240 @t81))) % 0.29/0.91 (assume @p198 (forall @t85 (or @t180 @t73 (not @t240)))) % 0.29/0.91 (assume @p199 (forall @t120 (or @t73 @t148))) % 0.29/0.91 (assume @p200 (forall @t120 (or @t73 @t146))) % 0.29/0.91 (assume @p201 (forall @t20 (or @t241 (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t19 @t1) @t19)))) % 0.29/0.91 (assume @p202 (forall @t213 (or @t196 (tptp.c_HOL_Oord__class_Oless @t4 @t9 @t1) @t157 @t208))) % 0.29/0.91 (assume @p203 (forall @t7 (or @t196 @t242 @t157 @t208))) % 0.29/0.91 (assume @p204 (forall @t7 (or @t196 @t242 @t215 @t156))) % 0.29/0.91 (assume @p205 (forall @t172 (or @t180 (tptp.c_HOL_Oord__class_Oless @t3 @t68 @t1) (not (tptp.c_HOL_Oord__class_Oless @t3 @t29 @t1)) @t208))) % 0.29/0.91 (assume @p206 (forall @t16 (= (tptp.c_HOL_Otimes__class_Otimes @t8 @t12 tptp.tc_nat) @t232))) % 0.29/0.91 (assume @p207 (forall @t16 (= @t233 (tptp.c_HOL_Otimes__class_Otimes @t13 @t8 tptp.tc_nat)))) % 0.29/0.91 (assume @p208 (forall (@list @t56 @t62) (not (tptp.c_HOL_Oord__class_Oless @t63 @t56 tptp.tc_nat)))) % 0.29/0.91 (assume @p209 (forall (@list @t62 @t56) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t62 @t56 tptp.tc_nat) @t56 tptp.tc_nat)))) % 0.29/0.91 (assume @p210 (forall (@list @t1 @t17 @t243 @t29 @t31) (or @t27 @t26 (not (= (tptp.c_HOL_Oplus__class_Oplus @t17 (tptp.c_HOL_Otimes__class_Otimes @t243 @t29 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t17 (tptp.c_HOL_Otimes__class_Otimes @t243 @t31 @t1) @t1))) @t218 (= @t243 @t9)))) % 0.29/0.91 (assume @p211 (forall (@list @t17 @t243 @t29 @t31) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t17 (tptp.c_HOL_Otimes__class_Otimes @t243 @t29 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t17 (tptp.c_HOL_Otimes__class_Otimes @t243 @t31 tptp.tc_nat) tptp.tc_nat))) @t218 (= @t243 @t8)))) % 0.29/0.91 (assume @p212 (forall @t20 (or @t163 @t244 @t178))) % 0.29/0.91 (assume @p213 (forall @t20 (or @t163 @t244 @t174))) % 0.29/0.91 (assume @p214 (forall @t65 (or @t246 (not @t245)))) % 0.29/0.91 (assume @p215 (forall @t137 (or @t245 (not @t246)))) % 0.29/0.91 (assume @p216 (forall @t197 (or @t236 @t247 @t195))) % 0.29/0.91 (assume @p217 (forall @t197 (or @t248 @t247 @t195))) % 0.29/0.91 (assume @p218 (forall @t125 (or @t248 @t186 (not @t247)))) % 0.29/0.91 (assume @p219 (forall @t185 (or @t236 @t249 @t195))) % 0.29/0.91 (assume @p220 (forall @t185 (or @t248 @t249 @t195))) % 0.29/0.91 (assume @p221 (forall @t125 (or @t248 @t186 (not @t249)))) % 0.29/0.91 (assume @p222 (forall @t65 (or (tptp.c_HOL_Oord__class_Oless @t237 @t135 tptp.tc_nat) @t66))) % 0.29/0.91 (assume @p223 (forall @t120 (or @t73 (not @t250)))) % 0.29/0.91 (assume @p224 (forall @t98 (or @t250 @t81))) % 0.29/0.91 (assume @p225 (= @t134 @t38)) % 0.29/0.91 (assume @p226 (forall @t91 (or @t241 (= @t175 @t17)))) % 0.29/0.91 (assume @p227 (forall @t16 (or @t73 (not @t251)))) % 0.29/0.91 (assume @p228 (forall @t132 (or @t251 @t81))) % 0.29/0.91 (assume @p229 (forall @t11 (or @t163 (= @t203 @t9)))) % 0.29/0.91 (assume @p230 (forall @t185 (or @t163 @t184 @t186 @t191))) % 0.29/0.91 (assume @p231 (forall @t172 (or @t163 @t187 @t183 @t191))) % 0.29/0.91 (assume @p232 (forall @t185 (or @t163 @t184 @t186 @t182))) % 0.29/0.91 (assume @p233 (forall @t172 (or @t163 @t187 @t183 @t182))) % 0.29/0.91 (assume @p234 (forall @t98 (or (not (= @t166 @t165)) @t82))) % 0.29/0.91 (assume @p235 (forall @t85 (or @t152 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t46 @t1) (tptp.c_HOL_Oplus__class_Oplus @t84 @t83 @t1))))) % 0.29/0.91 (assume @p236 (forall @t16 (or (tptp.c_HOL_Oord__class_Oless @t114 @t12 tptp.tc_nat) @t205 @t204))) % 0.29/0.91 (assume @p237 (forall @t256 (or @t239 @t255 @t254 @t253))) % 0.29/0.91 (assume @p238 (forall @t256 (or @t239 @t255 @t252 (not @t254)))) % 0.29/0.91 (assume @p239 (forall @t132 (or (= (tptp.c_HOL_Oplus__class_Oplus @t13 @t114 tptp.tc_nat) @t12) @t73))) % 0.29/0.91 (assume @p240 (forall @t16 (or @t173 @t80 @t78))) % 0.29/0.91 (assume @p241 (forall @t16 (or @t173 @t102 @t87))) % 0.29/0.91 (assume @p242 (forall @t125 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t29 @t1) (tptp.c_HOL_Otimes__class_Otimes @t2 @t188 @t1))))) % 0.29/0.91 (assume @p243 (forall @t258 (or @t6 (= @t257 (tptp.c_HOL_Otimes__class_Otimes @t224 @t221 @t1))))) % 0.29/0.91 (assume @p244 (forall @t258 (or @t6 (= @t257 (tptp.c_HOL_Otimes__class_Otimes @t223 (tptp.c_HOL_Otimes__class_Otimes @t221 @t222 @t1) @t1))))) % 0.29/0.91 (assume @p245 (forall @t260 (or @t6 (= @t259 (tptp.c_HOL_Otimes__class_Otimes @t224 @t220 @t1))))) % 0.29/0.91 (assume @p246 (forall @t260 (or @t6 (= @t259 (tptp.c_HOL_Otimes__class_Otimes @t222 (tptp.c_HOL_Otimes__class_Otimes @t223 @t220 @t1) @t1))))) % 0.29/0.91 (assume @p247 (forall @t120 (= (tptp.c_HOL_Otimes__class_Otimes @t15 @t61 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t12 @t99 tptp.tc_nat)))) % 0.29/0.91 (assume @p248 (forall @t28 (or @t6 (= (tptp.c_HOL_Otimes__class_Otimes @t17 (tptp.c_HOL_Otimes__class_Otimes @t18 @t23 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t19 @t23 @t1))))) % 0.29/0.91 (assume @p249 (forall @t125 (or @t6 @t261))) % 0.29/0.91 (assume @p250 (forall @t125 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t261))) % 0.29/0.91 (assume @p251 (forall @t120 (= (tptp.c_HOL_Otimes__class_Otimes @t46 @t61 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t100 @t99 tptp.tc_nat)))) % 0.29/0.91 (assume @p252 (forall @t98 (= (tptp.c_HOL_Otimes__class_Otimes @t61 @t46 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t96 @t95 tptp.tc_nat)))) % 0.29/0.91 (assume @p253 (forall @t28 (or @t6 (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t115 @t1) @t25)))) % 0.29/0.91 (assume @p254 (forall @t213 (or @t262 @t193 @t195))) % 0.29/0.91 (assume @p255 (forall @t265 (or @t262 @t264 @t253))) % 0.29/0.91 (assume @p256 (forall @t20 (or @t266 @t253 @t264))) % 0.29/0.91 (assume @p257 (forall @t7 (or @t267 @t195 @t193))) % 0.29/0.91 (assume @p258 (forall (@list @t13 @t56) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t13 @t268 tptp.tc_nat) @t13 tptp.tc_nat) @t204))) % 0.29/0.91 (assume @p259 (forall @t149 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t13 @t38 tptp.tc_nat)) @t13) @t204))) % 0.29/0.91 (assume @p260 (forall @t16 (or @t269 @t81))) % 0.29/0.91 (assume @p261 (forall @t16 (or @t73 (not @t270)))) % 0.29/0.91 (assume @p262 (forall @t149 (not (= @t13 @t48)))) % 0.29/0.91 (assume @p263 (forall @t149 (not (= @t48 @t13)))) % 0.29/0.91 (assume @p264 (forall @t132 (or (tptp.c_HOL_Oord__class_Oless @t13 @t14 tptp.tc_nat) @t272 @t271))) % 0.29/0.91 (assume @p265 (forall @t132 (or (tptp.c_HOL_Oord__class_Oless @t13 @t15 tptp.tc_nat) @t272 @t271))) % 0.29/0.91 (assume @p266 (not (tptp.c_HOL_Oord__class_Oless @t8 @t8 tptp.tc_nat))) % 0.29/0.91 (assume @p267 (forall (@list @t273 @t61) (= (tptp.c_Lambda_Oliftn @t8 @t273 @t61) @t273))) % 0.29/0.91 (assume @p268 (forall @t149 (or @t131 @t87))) % 0.29/0.91 (assume @p269 (forall @t275 (or @t180 @t131 (not @t274)))) % 0.29/0.91 (assume @p270 (forall @t275 (or @t180 @t274 @t204))) % 0.29/0.91 (assume @p271 (forall @t65 (or (tptp.c_HOL_Oord__class_Oless @t268 @t61 tptp.tc_nat) @t234 @t66))) % 0.29/0.91 (assume @p272 (forall @t199 @t277)) % 0.29/0.91 (assume @p273 (forall @t149 (tptp.c_HOL_Oord__class_Oless @t13 @t48 tptp.tc_nat))) % 0.29/0.91 (assume @p274 (forall @t93 (not (= @t50 @t8)))) % 0.29/0.91 (assume @p275 (forall @t280 (not (= @t279 @t8)))) % 0.29/0.91 (assume @p276 (forall @t20 (or @t266 @t159 @t252 @t263))) % 0.29/0.91 (assume @p277 (forall @t265 (or @t266 @t263 @t159 @t252))) % 0.29/0.91 (assume @p278 (forall @t265 (or @t266 @t263 @t252 @t159))) % 0.29/0.91 (assume @p279 (forall (@list @t18 @t17) (or (tptp.c_HOL_Oord__class_Oless @t18 @t17 tptp.tc_nat) @t58 @t159))) % 0.29/0.91 (assume @p280 (forall @t132 (or @t281 @t73 @t82))) % 0.29/0.91 (assume @p281 (forall @t20 (or @t266 @t159 @t263 @t252))) % 0.29/0.91 (assume @p282 (forall @t265 (or @t211 @t263 @t252 @t159))) % 0.29/0.91 (assume @p283 (forall @t284 (or (= @t283 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus @t56 @t13 tptp.tc_nat))) @t64))) % 0.29/0.91 (assume @p284 (forall @t91 (or @t262 @t285))) % 0.29/0.91 (assume @p285 (forall @t91 (or @t266 @t285))) % 0.29/0.91 (assume @p286 (forall @t91 (or @t267 @t285))) % 0.29/0.91 (assume @p287 (forall @t149 (not (tptp.c_HOL_Oord__class_Oless @t13 @t13 tptp.tc_nat)))) % 0.29/0.91 (assume @p288 (forall @t199 (not @t286))) % 0.29/0.91 (assume @p289 (forall @t16 (or (= @t12 (tptp.c_Suc @t288)) @t102 @t287))) % 0.29/0.91 (assume @p290 (forall @t132 (or (= @t13 @t12) @t290 @t281))) % 0.29/0.91 (assume @p291 (forall @t16 (or @t82 @t290 @t281))) % 0.29/0.91 (assume @p292 (forall @t16 (or @t82 @t73 @t287))) % 0.29/0.91 (assume @p293 (tptp.c_HOL_Oord__class_Oless @t8 @t38 tptp.tc_nat)) % 0.29/0.91 (assume @p294 (forall @t293 (or (not (= (tptp.c_Suc @t291) @t279)) @t292))) % 0.29/0.91 (assume @p295 (forall (@list @t17 @t18) (or (not (= @t276 (tptp.c_Suc @t18))) @t159))) % 0.29/0.91 (assume @p296 (forall @t93 (not (= @t8 @t50)))) % 0.29/0.91 (assume @p297 (forall @t280 (not (= @t8 @t279)))) % 0.29/0.91 (assume @p298 (forall @t149 (or (= @t13 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1 @t13))) @t204))) % 0.29/0.91 (assume @p299 (forall @t149 (or @t87 (not (tptp.c_HOL_Oord__class_Oless @t13 @t38 tptp.tc_nat))))) % 0.29/0.91 (assume @p300 (forall @t149 (or (= @t13 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1 @t13))) @t204))) % 0.29/0.91 (assume @p301 (forall @t16 (or (tptp.c_HOL_Oord__class_Oless @t288 @t13 tptp.tc_nat) @t102 @t287))) % 0.29/0.91 (assume @p302 (forall (@list @t1 @t17 @t23 @t18) (or @t262 (tptp.c_HOL_Oord__class_Oless @t17 @t23 @t1) (not (tptp.c_HOL_Oord__class_Oless @t18 @t23 @t1)) @t253))) % 0.29/0.91 (assume @p303 (forall (@list @t1 @t23 @t17 @t18) (or @t267 (tptp.c_HOL_Oord__class_Oless @t23 @t17 @t1) (not (tptp.c_HOL_Oord__class_Oless @t23 @t18 @t1)) @t264))) % 0.29/0.91 (assume @p304 (forall @t93 (not (tptp.c_HOL_Oord__class_Oless @t12 @t8 tptp.tc_nat)))) % 0.29/0.91 (assume @p305 (forall @t149 (not (tptp.c_HOL_Oord__class_Oless @t13 @t8 tptp.tc_nat)))) % 0.29/0.91 (assume @p306 (forall @t16 (or (tptp.c_HOL_Oord__class_Oless @t38 @t15 tptp.tc_nat) @t272 @t271))) % 0.29/0.91 (assume @p307 (forall @t149 (tptp.c_HOL_Oord__class_Oless @t8 @t48 tptp.tc_nat))) % 0.29/0.91 (assume @p308 (forall @t199 (tptp.c_HOL_Oord__class_Oless @t8 @t276 tptp.tc_nat))) % 0.29/0.91 (assume @p309 (forall @t16 (or @t270 (= @t50 @t13) @t81))) % 0.29/0.91 (assume @p310 (forall @t199 (or @t286 @t277))) % 0.29/0.91 (assume @p311 (forall @t16 (or @t81 @t290))) % 0.29/0.91 (assume @p312 (forall @t132 (or @t289 @t73))) % 0.29/0.91 (assume @p313 (forall (@list @t17 @t13) (or (tptp.c_HOL_Oord__class_Oless @t276 @t48 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t17 @t13 tptp.tc_nat))))) % 0.29/0.91 (assume @p314 (forall @t16 (or @t73 (not @t294)))) % 0.29/0.91 (assume @p315 (forall @t16 (or @t294 @t81))) % 0.29/0.91 (assume @p316 (forall @t298 (or (tptp.c_Lambda_Obeta @t297 (tptp.c_Lambda_OdB_OAbs @t273)) @t296))) % 0.29/0.91 (assume @p317 (forall (@list @t295 @t243) (or (= @t295 (tptp.c_Lambda_OdB_OAbs @t301)) @t300))) % 0.29/0.91 (assume @p318 (forall @t303 (or @t286 (= (tptp.c_Lambda_Osubstn @t302 @t295 @t17) (tptp.c_Lambda_Oliftn @t17 @t295 @t8))))) % 0.29/0.91 (assume @p319 (forall (@list @t243 @t56 @t295) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t243 @t56) (tptp.c_Lambda_Olift @t295 @t56)) @t304))) % 0.29/0.91 (assume @p320 (forall (@list @t56 @t61) (or (= (tptp.c_Lambda_Olift @t282 @t61) @t282) @t305))) % 0.29/0.91 (assume @p321 @t308) % 0.29/0.91 (assume @p322 (forall @t284 (or (= @t283 @t282) @t305))) % 0.29/0.91 (assume @p323 (forall @t303 (or @t286 (= (tptp.c_Lambda_Osubst @t302 @t295 @t17) @t295)))) % 0.29/0.91 (assume @p324 (forall (@list @t273 @t295 @t13) (= (tptp.c_Lambda_Osubstn @t273 @t295 @t13) (tptp.c_Lambda_Osubst @t273 (tptp.c_Lambda_Oliftn @t13 @t295 @t8) @t13)))) % 0.29/0.91 (assume @p325 (forall @t311 (or (= (tptp.c_Lambda_Osubst @t282 @t295 @t61) @t282) @t310 @t309))) % 0.29/0.91 (assume @p326 (forall (@list @t243 @t273 @t56 @t295) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t243 @t273 @t56) (tptp.c_Lambda_Osubst @t295 @t273 @t56)) @t304))) % 0.29/0.91 (assume @p327 (forall (@list @t13 @t273 @t61) (= (tptp.c_Lambda_Oliftn @t48 @t273 @t61) (tptp.c_Lambda_Olift @t312 @t61)))) % 0.29/0.91 (assume @p328 (forall (@list @t291 @t313) (not (= @t315 @t314)))) % 0.29/0.91 (assume @p329 (forall @t311 (or (= (tptp.c_Lambda_Osubstn @t282 @t295 @t61) @t282) @t310 @t309))) % 0.29/0.91 (assume @p330 (forall (@list @t316 @t313) (or (not (= (tptp.c_Lambda_OdB_OAbs @t316) @t314)) (= @t316 @t313)))) % 0.29/0.91 (assume @p331 (forall @t298 (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t297 @t273) (tptp.c_Lambda_Osubst @t295 @t273 @t8)))) % 0.29/0.91 (assume @p332 (forall (@list @t56 @t273) (not (tptp.c_Lambda_Obeta @t282 @t273)))) % 0.29/0.91 (assume @p333 (forall (@list @t243 @t295) (or (tptp.c_Lambda_Obeta @t243 @t301) @t300))) % 0.29/0.91 (assume @p334 (forall (@list @t273 @t295) (= (tptp.c_Lambda_Osubstn @t273 @t295 @t8) (tptp.c_Lambda_Osubst @t273 @t295 @t8)))) % 0.29/0.91 (assume @p335 (forall (@list @t62 @t133 @t56) (or (= (tptp.c_Lambda_Osubst @t317 @t133 @t56) @t317) (not (tptp.c_HOL_Oord__class_Oless @t62 @t56 tptp.tc_nat))))) % 0.29/0.91 (assume @p336 (forall (@list @t243 @t56 @t62) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t243 @t282 @t62)) @t318))) % 0.29/0.91 (assume @p337 @t320) % 0.29/0.91 (assume @p338 (forall @t293 (or (not (= @t315 (tptp.c_Lambda_OdB_OVar @t278))) @t292))) % 0.29/0.91 (assume @p339 (forall (@list @t313 @t291) (not (= @t314 @t315)))) % 0.29/0.91 (assume @p340 (forall @t322 (= (tptp.c_Lambda_Osubst @t321 @t295 @t61) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t273 @t295 @t61) (tptp.c_Lambda_Osubst @t133 @t295 @t61))))) % 0.29/0.91 (assume @p341 (forall (@list @t324 @t323 @t313) (not (= @t325 @t314)))) % 0.29/0.91 (assume @p342 (forall (@list @t313 @t324 @t323) (not (= @t314 @t325)))) % 0.29/0.91 (assume @p343 (forall @t330 (or @t329 (= @t324 @t326)))) % 0.29/0.91 (assume @p344 (forall @t330 (or @t329 (= @t323 @t327)))) % 0.29/0.91 (assume @p345 (forall (@list @t291 @t326 @t327) (not (= @t315 @t328)))) % 0.29/0.91 (assume @p346 (tptp.c_InductTermi_OIT tptp.v_s____)) % 0.29/0.91 (assume @p347 (forall @t332 (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift @t273 @t56)) @t331))) % 0.29/0.91 (assume @p348 (forall @t149 (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OVar @t13)))) % 0.29/0.91 (assume @p349 (forall (@list @t295 @t273 @t61) (= (tptp.c_Lambda_Olift @t333 @t61) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t295 @t61) @t306)))) % 0.29/0.91 (assume @p350 (tptp.c_InductTermi_OIT tptp.v_ta____)) % 0.29/0.91 (assume @p351 (forall (@list @t243) (or (tptp.c_InductTermi_OIT @t299) @t318))) % 0.29/0.91 (assume @p352 (forall (@list @t133 @t295 @t273) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t133 @t295) (tptp.c_Lambda_OdB_OApp @t133 @t273)) @t296))) % 0.29/0.91 (assume @p353 (forall (@list @t295 @t133 @t273) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t295 @t133) @t321) @t296))) % 0.29/0.91 (assume @p354 (forall (@list @t13 @t295 @t273 @t61) (= (tptp.c_Lambda_Oliftn @t13 @t333 @t61) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t13 @t295 @t61) @t312)))) % 0.29/0.91 (assume @p355 (forall @t332 (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OApp @t273 @t282)) @t331))) % 0.29/0.91 (assume @p356 (forall @t322 (= (tptp.c_Lambda_Osubstn @t321 @t295 @t61) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t273 @t295 @t61) (tptp.c_Lambda_Osubstn @t133 @t295 @t61))))) % 0.29/0.91 (assume @p357 (forall (@list @t326 @t327 @t291) (not (= @t328 @t315)))) % 0.29/0.91 (assume @p358 (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OApp @t335 @t334) tptp.v_s____ @t8))) % 0.29/0.91 (assume @p359 (not @t337)) % 0.29/0.91 (assume @p360 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.91 (assume @p361 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.29/0.91 (assume @p362 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.29/0.91 (assume @p363 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.29/0.91 (assume @p364 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.29/0.91 (assume @p365 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.91 (assume @p366 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.29/0.91 (assume @p367 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.29/0.91 (assume @p368 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.29/0.91 (assume @p369 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.29/0.91 (assume @p370 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.29/0.91 (assume @p371 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.29/0.91 (assume @p372 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.29/0.91 (assume @p373 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.29/0.91 (assume @p374 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.29/0.91 (assume @p375 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.29/0.91 (assume @p376 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.29/0.91 (assume @p377 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.29/0.91 (assume @p378 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.29/0.91 (assume @p379 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.29/0.91 (assume @p380 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.29/0.91 (assume @p381 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.29/0.91 (step @p382 :rule evaluate :args ((= false true))) % 0.29/0.91 (step @p383 :rule true_intro :premises (@p358)) % 0.29/0.91 (step @p384 :rule instantiate :premises (@p340) :args ((@list @t335 @t334 tptp.v_s____ @t8))) % 0.29/0.91 (step @p385 :rule symm :premises (@p384)) % 0.29/0.91 (step @p386 :rule eq-symm :args (@t307 @t273)) % 0.29/0.91 (step @p387 :rule cong :premises (@p386) :args (@t308)) % 0.29/0.91 (step @p388 :rule eq_resolve :premises (@p321 @p387)) % 0.29/0.91 (step @p389 :rule instantiate :premises (@p388) :args ((@list tptp.v_ta____ @t8 tptp.v_s____))) % 0.29/0.91 (step @p390 :rule eq-symm :args (@t319 @t133)) % 0.29/0.91 (step @p391 :rule cong :premises (@p390) :args (@t320)) % 0.29/0.91 (step @p392 :rule eq_resolve :premises (@p337 @p391)) % 0.29/0.91 (step @p393 :rule instantiate :premises (@p392) :args ((@list @t8 tptp.v_s____))) % 0.29/0.91 (step @p394 :rule cong :premises (@p393 @p389) :args (@t336)) % 0.29/0.91 (step @p395 :rule trans :premises (@p394 @p385)) % 0.29/0.91 (step @p396 :rule cong :premises (@p395) :args (@t337)) % 0.29/0.91 (step @p397 :rule false_intro :premises (@p359)) % 0.29/0.91 (step @p398 :rule symm :premises (@p397)) % 0.29/0.91 (step @p399 :rule trans :premises (@p398 @p396 @p383)) % 0.29/0.91 (step @p400 false :rule eq_resolve :premises (@p399 @p382)) % 0.29/0.91 ) % 0.29/0.91 % SZS output end Proof % 0.29/0.92 % cvc5 exiting %------------------------------------------------------------------------------