%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT152+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:22 AM UTC 2026 % Result : Theorem 64.01s 64.41s % Output : Proof 64.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT152+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:31:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.37/0.65 %----Proving TF0_NAR, FOF, or CNF % 64.01/64.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.01/64.41 --- Run --no-e-matching --full-saturate-quant at 6... % 64.01/64.41 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.01/64.41 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.01/64.41 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.01/64.41 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.01/64.41 % SZS status Theorem % 64.01/64.41 % SZS output start Proof % 64.01/64.41 ( % 64.01/64.41 (declare-sort $$unsorted 0) % 64.01/64.41 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 64.01/64.41 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 64.01/64.41 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 64.01/64.41 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 64.01/64.41 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 64.01/64.41 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.v_P_H____ $$unsorted) % 64.01/64.41 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.tc_HOL_Obool $$unsorted) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.v_F $$unsorted) % 64.01/64.41 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.tc_Nat_Onat $$unsorted) % 64.01/64.41 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 64.01/64.41 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.v_a____ $$unsorted) % 64.01/64.41 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 64.01/64.41 (declare-const tptp.v_P____ $$unsorted) % 64.01/64.41 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.v_c____ $$unsorted) % 64.01/64.41 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 64.01/64.41 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 64.01/64.41 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 64.01/64.41 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.v_b____ $$unsorted) % 64.01/64.41 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.01/64.41 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.01/64.41 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 64.01/64.41 (define @t1 () (@var "V_g_2" $$unsorted)) % 64.01/64.41 (define @t2 () (@var "V_f_2" $$unsorted)) % 64.01/64.41 (define @t3 () (@var "B_x" $$unsorted)) % 64.01/64.41 (define @t4 () (tptp.hAPP @t1 @t3)) % 64.01/64.41 (define @t5 () (tptp.hAPP @t2 @t3)) % 64.01/64.41 (define @t6 () (@list @t3)) % 64.01/64.41 (define @t7 () (= tptp.v_a____ tptp.v_b____)) % 64.01/64.41 (define @t8 () (= tptp.v_b____ tptp.v_c____)) % 64.01/64.41 (define @t9 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.01/64.41 (define @t10 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t11 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t10)) % 64.01/64.41 (define @t12 () (tptp.c_member @t11 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.01/64.41 (define @t13 () (@var "B_i" $$unsorted)) % 64.01/64.41 (define @t14 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_c____)) % 64.01/64.41 (define @t15 () (tptp.c_member @t9 @t14 (tptp.hAPP tptp.v_P_H____ @t13))) % 64.01/64.41 (define @t16 () (@list @t13)) % 64.01/64.41 (define @t17 () (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.01/64.41 (define @t18 () (tptp.c_Fun_Ocomp @t10 @t10 tptp.tc_Arrow__Order__Mirabelle_Oindi @t17 tptp.v_P____)) % 64.01/64.41 (define @t19 () (tptp.c_member @t11 @t18 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.01/64.41 (define @t20 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_a____)) % 64.01/64.41 (define @t21 () (tptp.c_member @t9 @t20 (tptp.hAPP @t18 @t13))) % 64.01/64.41 (define @t22 () (forall @t16 (= @t21 @t15))) % 64.01/64.41 (define @t23 () (@var "V_P_Ha_2" $$unsorted)) % 64.01/64.41 (define @t24 () (tptp.hAPP tptp.v_F @t23)) % 64.01/64.41 (define @t25 () (@var "V_b_H_2" $$unsorted)) % 64.01/64.41 (define @t26 () (@var "V_a_H_2" $$unsorted)) % 64.01/64.41 (define @t27 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t26 @t25)) % 64.01/64.41 (define @t28 () (tptp.c_member @t9 @t27 @t24)) % 64.01/64.41 (define @t29 () (@var "V_Pa_2" $$unsorted)) % 64.01/64.41 (define @t30 () (@var "V_ba_2" $$unsorted)) % 64.01/64.41 (define @t31 () (@var "V_aa_2" $$unsorted)) % 64.01/64.41 (define @t32 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t31 @t30)) % 64.01/64.41 (define @t33 () (tptp.c_member @t9 @t32 (tptp.hAPP tptp.v_F @t29))) % 64.01/64.41 (define @t34 () (= @t33 @t28)) % 64.01/64.41 (define @t35 () (tptp.hAPP @t23 @t13)) % 64.01/64.41 (define @t36 () (tptp.c_member @t9 @t32 (tptp.hAPP @t29 @t13))) % 64.01/64.41 (define @t37 () (forall @t16 (= @t36 (tptp.c_member @t9 @t27 @t35)))) % 64.01/64.41 (define @t38 () (=> @t37 @t34)) % 64.01/64.41 (define @t39 () (tptp.c_member @t11 @t23 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.01/64.41 (define @t40 () (=> @t39 @t38)) % 64.01/64.41 (define @t41 () (tptp.c_member @t11 @t29 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.01/64.41 (define @t42 () (=> @t41 @t40)) % 64.01/64.41 (define @t43 () (not (= @t30 @t26))) % 64.01/64.41 (define @t44 () (=> @t43 @t42)) % 64.01/64.41 (define @t45 () (not (= @t31 @t25))) % 64.01/64.41 (define @t46 () (=> @t45 @t44)) % 64.01/64.41 (define @t47 () (not (= @t26 @t25))) % 64.01/64.41 (define @t48 () (=> @t47 @t46)) % 64.01/64.41 (define @t49 () (= @t31 @t30)) % 64.01/64.41 (define @t50 () (not @t49)) % 64.01/64.41 (define @t51 () (=> @t50 @t48)) % 64.01/64.41 (define @t52 () (@list @t23 @t29 @t25 @t26 @t30 @t31)) % 64.01/64.41 (define @t53 () (forall @t52 @t51)) % 64.01/64.41 (define @t54 () (=> @t33 @t28)) % 64.01/64.41 (define @t55 () (=> @t37 @t54)) % 64.01/64.41 (define @t56 () (=> @t39 @t55)) % 64.01/64.41 (define @t57 () (=> @t41 @t56)) % 64.01/64.41 (define @t58 () (=> @t43 @t57)) % 64.01/64.41 (define @t59 () (=> @t45 @t58)) % 64.01/64.41 (define @t60 () (=> @t47 @t59)) % 64.01/64.41 (define @t61 () (=> @t50 @t60)) % 64.01/64.41 (define @t62 () (forall @t52 @t61)) % 64.01/64.41 (define @t63 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t30 @t31)) % 64.01/64.41 (define @t64 () (@var "V_r_2" $$unsorted)) % 64.01/64.41 (define @t65 () (@var "T_a" $$unsorted)) % 64.01/64.41 (define @t66 () (@var "T_b" $$unsorted)) % 64.01/64.41 (define @t67 () (tptp.c_Product__Type_OPair @t66 @t65 @t30 @t31)) % 64.01/64.41 (define @t68 () (tptp.tc_prod @t66 @t65)) % 64.01/64.41 (define @t69 () (tptp.c_member @t68 @t67 @t64)) % 64.01/64.41 (define @t70 () (tptp.c_Relation_Oconverse @t66 @t65)) % 64.01/64.41 (define @t71 () (tptp.hAPP @t70 @t64)) % 64.01/64.41 (define @t72 () (tptp.c_Product__Type_OPair @t65 @t66 @t31 @t30)) % 64.01/64.41 (define @t73 () (tptp.tc_prod @t65 @t66)) % 64.01/64.41 (define @t74 () (tptp.c_member @t73 @t72 @t71)) % 64.01/64.41 (define @t75 () (@list @t64 @t30 @t31 @t66 @t65)) % 64.01/64.41 (define @t76 () (tptp.hAPP (tptp.c_Relation_Oconverse @t65 @t66) @t64)) % 64.01/64.41 (define @t77 () (tptp.c_member @t73 @t72 @t64)) % 64.01/64.41 (define @t78 () (@var "V_B_2" $$unsorted)) % 64.01/64.41 (define @t79 () (@var "V_ca_2" $$unsorted)) % 64.01/64.41 (define @t80 () (tptp.c_member @t65 @t79 @t78)) % 64.01/64.41 (define @t81 () (@var "V_A_2" $$unsorted)) % 64.01/64.41 (define @t82 () (tptp.c_member @t65 @t79 @t81)) % 64.01/64.41 (define @t83 () (=> (not @t82) @t80)) % 64.01/64.41 (define @t84 () (not @t80)) % 64.01/64.41 (define @t85 () (= @t81 @t78)) % 64.01/64.41 (define @t86 () (@var "V_L_2" $$unsorted)) % 64.01/64.41 (define @t87 () (@var "V_y_2" $$unsorted)) % 64.01/64.41 (define @t88 () (@var "V_x_2" $$unsorted)) % 64.01/64.41 (define @t89 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t88 @t87)) % 64.01/64.41 (define @t90 () (tptp.c_member @t9 @t89 @t86)) % 64.01/64.41 (define @t91 () (@var "V_z_2" $$unsorted)) % 64.01/64.41 (define @t92 () (= @t88 @t91)) % 64.01/64.41 (define @t93 () (not @t92)) % 64.01/64.41 (define @t94 () (= @t88 @t87)) % 64.01/64.41 (define @t95 () (not @t94)) % 64.01/64.41 (define @t96 () (= @t87 @t91)) % 64.01/64.41 (define @t97 () (not @t96)) % 64.01/64.41 (define @t98 () (@list @t91 @t86 @t87 @t88)) % 64.01/64.41 (define @t99 () (@var "V_i_2" $$unsorted)) % 64.01/64.41 (define @t100 () (@var "V_Fa_2" $$unsorted)) % 64.01/64.41 (define @t101 () (tptp.hAPP @t100 @t3)) % 64.01/64.41 (define @t102 () (tptp.c_member @t11 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.01/64.41 (define @t103 () (@var "V_R_2" $$unsorted)) % 64.01/64.41 (define @t104 () (tptp.c_Product__Type_OPair @t65 @t66 @t88 @t87)) % 64.01/64.41 (define @t105 () (tptp.c_Recdef_Osame__fst @t65 @t66 @t29 @t103)) % 64.01/64.41 (define @t106 () (@var "V_y_H_2" $$unsorted)) % 64.01/64.41 (define @t107 () (tptp.tc_prod @t73 @t73)) % 64.01/64.41 (define @t108 () (tptp.tc_prod @t66 @t66)) % 64.01/64.41 (define @t109 () (tptp.hAPP @t29 @t88)) % 64.01/64.41 (define @t110 () (tptp.hBOOL @t109)) % 64.01/64.41 (define @t111 () (tptp.c_member @t65 @t31 @t81)) % 64.01/64.41 (define @t112 () (@list @t81 @t65 @t30 @t31)) % 64.01/64.41 (define @t113 () (tptp.c_member @t65 @t87 @t81)) % 64.01/64.41 (define @t114 () (tptp.c_member @t65 @t88 @t81)) % 64.01/64.41 (define @t115 () (tptp.c_member @t65 @t88 @t78)) % 64.01/64.41 (define @t116 () (tptp.hBOOL (tptp.hAPP @t81 @t88))) % 64.01/64.41 (define @t117 () (@list @t81 @t88 @t65)) % 64.01/64.41 (define @t118 () (@var "V_x_H_2" $$unsorted)) % 64.01/64.41 (define @t119 () (@var "V_g_H_2" $$unsorted)) % 64.01/64.41 (define @t120 () (@var "V_f_H_2" $$unsorted)) % 64.01/64.41 (define @t121 () (@var "T_e" $$unsorted)) % 64.01/64.41 (define @t122 () (@var "T_d" $$unsorted)) % 64.01/64.41 (define @t123 () (@var "T_c" $$unsorted)) % 64.01/64.41 (define @t124 () (tptp.hAPP (tptp.c_Fun_Ocomp @t66 @t65 @t123 @t2 @t1) @t88)) % 64.01/64.41 (define @t125 () (tptp.hAPP @t1 @t88)) % 64.01/64.41 (define @t126 () (tptp.hAPP @t2 @t125)) % 64.01/64.41 (define @t127 () (@list @t64 @t65 @t66)) % 64.01/64.41 (define @t128 () (tptp.c_Product__Type_OPair @t65 @t65 @t3 @t3)) % 64.01/64.41 (define @t129 () (tptp.tc_prod @t65 @t65)) % 64.01/64.41 (define @t130 () (tptp.c_member @t129 @t128 @t64)) % 64.01/64.41 (define @t131 () (@list @t64 @t65)) % 64.01/64.41 (define @t132 () (@var "B_xa" $$unsorted)) % 64.01/64.41 (define @t133 () (@var "B_b" $$unsorted)) % 64.01/64.41 (define @t134 () (@var "B_a" $$unsorted)) % 64.01/64.41 (define @t135 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t134 @t133)) % 64.01/64.41 (define @t136 () (tptp.c_member @t9 @t135 @t101)) % 64.01/64.41 (define @t137 () (tptp.c_member @t9 @t135 (tptp.hAPP @t3 @t13))) % 64.01/64.41 (define @t138 () (@list @t134 @t133)) % 64.01/64.41 (define @t139 () (@list @t132)) % 64.01/64.41 (define @t140 () (@list @t100)) % 64.01/64.41 (define @t141 () (@var "V_s_2" $$unsorted)) % 64.01/64.41 (define @t142 () (= @t31 @t26)) % 64.01/64.41 (define @t143 () (tptp.c_Product__Type_OPair @t65 @t66 @t26 @t25)) % 64.01/64.41 (define @t144 () (@var "B_y" $$unsorted)) % 64.01/64.41 (define @t145 () (@var "V_yx_2" $$unsorted)) % 64.01/64.41 (define @t146 () (@list @t3 @t144)) % 64.01/64.41 (define @t147 () (tptp.c_Relation_ORange @t65 @t66 @t64)) % 64.01/64.41 (define @t148 () (tptp.c_Relation_OId__on @t65 @t81)) % 64.01/64.41 (define @t149 () (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t30)) % 64.01/64.41 (define @t150 () (tptp.c_Product__Type_OPair @t65 @t65 @t88 @t87)) % 64.01/64.41 (define @t151 () (@list @t81 @t87 @t88 @t65)) % 64.01/64.41 (define @t152 () (tptp.c_Relation_ODomain @t65 @t66 @t64)) % 64.01/64.41 (define @t153 () (tptp.c_member @t65 @t31 @t152)) % 64.01/64.41 (define @t154 () (tptp.c_member @t65 @t3 @t81)) % 64.01/64.41 (define @t155 () (tptp.c_Relation_Ototal__on @t65 @t81 @t64)) % 64.01/64.41 (define @t156 () (@list @t64 @t81 @t65)) % 64.01/64.41 (define @t157 () (@list @t81 @t65)) % 64.01/64.41 (define @t158 () (tptp.c_Relation_ODomain @t65 @t66 @t71)) % 64.01/64.41 (define @t159 () (tptp.c_Relation_ORange @t66 @t65 @t64)) % 64.01/64.41 (define @t160 () (@list @t64 @t66 @t65)) % 64.01/64.41 (define @t161 () (tptp.c_Relation_Oconverse @t65 @t65)) % 64.01/64.41 (define @t162 () (tptp.hAPP @t161 @t64)) % 64.01/64.41 (define @t163 () (tptp.c_member @t73 (tptp.c_Product__Type_OPair @t65 @t66 @t31 @t144) @t64)) % 64.01/64.41 (define @t164 () (@list @t144)) % 64.01/64.41 (define @t165 () (@list @t64 @t66 @t31 @t65)) % 64.01/64.41 (define @t166 () (tptp.c_Wellfounded_Oacc @t65 @t64)) % 64.01/64.41 (define @t167 () (tptp.c_member @t65 @t3 @t166)) % 64.01/64.41 (define @t168 () (tptp.c_member @t65 @t31 @t166)) % 64.01/64.41 (define @t169 () (@list @t64 @t31 @t65)) % 64.01/64.41 (define @t170 () (tptp.c_member @t129 @t149 @t64)) % 64.01/64.41 (define @t171 () (tptp.c_member @t65 @t30 @t166)) % 64.01/64.41 (define @t172 () (tptp.hAPP @t2 @t87)) % 64.01/64.41 (define @t173 () (tptp.hAPP @t2 @t88)) % 64.01/64.41 (define @t174 () (tptp.c_member @t129 @t150 @t64)) % 64.01/64.41 (define @t175 () (tptp.c_Relation_Orefl__on @t65 @t81 @t64)) % 64.01/64.41 (define @t176 () (@list @t87 @t88 @t64 @t81 @t65)) % 64.01/64.41 (define @t177 () (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t31)) % 64.01/64.41 (define @t178 () (tptp.c_member @t129 @t177 @t64)) % 64.01/64.41 (define @t179 () (@var "B_z" $$unsorted)) % 64.01/64.41 (define @t180 () (@var "B_g" $$unsorted)) % 64.01/64.41 (define @t181 () (@var "V_a1_2" $$unsorted)) % 64.01/64.41 (define @t182 () (@list @t179)) % 64.01/64.41 (define @t183 () (forall @t182 (=> (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t179 @t181) @t103) (tptp.c_Recdef_Owfrec__rel @t65 @t66 @t103 @t100 @t179 (tptp.hAPP @t180 @t179))))) % 64.01/64.41 (define @t184 () (tptp.hAPP (tptp.hAPP @t100 @t180) @t181)) % 64.01/64.41 (define @t185 () (@var "V_a2_2" $$unsorted)) % 64.01/64.41 (define @t186 () (tptp.hAPP (tptp.hAPP @t100 @t185) @t181)) % 64.01/64.41 (define @t187 () (@list @t180)) % 64.01/64.41 (define @t188 () (@list @t185 @t181 @t100 @t103 @t66 @t65)) % 64.01/64.41 (define @t189 () (tptp.c_Wellfounded_Oacc @t65 @t103)) % 64.01/64.41 (define @t190 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t179 @t88) @t103)) % 64.01/64.41 (define @t191 () (tptp.c_member @t65 @t88 @t166)) % 64.01/64.41 (define @t192 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t144 @t88) @t64)) % 64.01/64.41 (define @t193 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t64)) % 64.01/64.41 (define @t194 () (tptp.c_Product__Type_OPair @t65 @t65 @t30 @t31)) % 64.01/64.41 (define @t195 () (tptp.c_member @t129 @t194 @t193)) % 64.01/64.41 (define @t196 () (tptp.c_member @t10 @t86 tptp.c_Arrow__Order__Mirabelle_OLin)) % 64.01/64.41 (define @t197 () (@var "B_v" $$unsorted)) % 64.01/64.41 (define @t198 () (@var "V_d_2" $$unsorted)) % 64.01/64.41 (define @t199 () (tptp.c_Fun_Ocomp @t123 @t66 @t65 @t31 @t30)) % 64.01/64.41 (define @t200 () (= @t199 (tptp.c_Fun_Ocomp @t122 @t66 @t65 @t79 @t198))) % 64.01/64.41 (define @t201 () (@list @t88 @t86)) % 64.01/64.41 (define @t202 () (@var "V_h_2" $$unsorted)) % 64.01/64.41 (define @t203 () (@var "V_v_2" $$unsorted)) % 64.01/64.41 (define @t204 () (tptp.hAPP @t31 (tptp.hAPP @t30 @t203))) % 64.01/64.41 (define @t205 () (@var "V_p_2" $$unsorted)) % 64.01/64.41 (define @t206 () (tptp.c_member @t129 @t205 @t64)) % 64.01/64.41 (define @t207 () (@list @t64 @t205 @t65)) % 64.01/64.41 (define @t208 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t103)) % 64.01/64.41 (define @t209 () (tptp.c_member @t129 @t150 @t208)) % 64.01/64.41 (define @t210 () (= @t87 @t30)) % 64.01/64.41 (define @t211 () (= @t88 @t31)) % 64.01/64.41 (define @t212 () (= @t88 @t30)) % 64.01/64.41 (define @t213 () (@list @t87 @t88 @t86 @t30 @t31)) % 64.01/64.41 (define @t214 () (= @t87 @t31)) % 64.01/64.41 (define @t215 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t162)) % 64.01/64.41 (define @t216 () (tptp.c_member @t129 @t150 @t215)) % 64.01/64.41 (define @t217 () (tptp.c_Product__Type_OPair @t65 @t65 @t87 @t88)) % 64.01/64.41 (define @t218 () (tptp.c_member @t129 @t217 @t193)) % 64.01/64.41 (define @t219 () (@list @t64 @t88 @t87 @t65)) % 64.01/64.41 (define @t220 () (@list @t64 @t87 @t88 @t65)) % 64.01/64.41 (define @t221 () (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t79)) % 64.01/64.41 (define @t222 () (tptp.c_member @t129 @t221 @t193)) % 64.01/64.41 (define @t223 () (tptp.c_Product__Type_OPair @t65 @t65 @t30 @t79)) % 64.01/64.41 (define @t224 () (tptp.c_member @t129 @t223 @t193)) % 64.01/64.41 (define @t225 () (=> @t224 @t222)) % 64.01/64.41 (define @t226 () (@list @t79 @t64 @t30 @t31 @t65)) % 64.01/64.41 (define @t227 () (@list @t86 @t87 @t88)) % 64.01/64.41 (define @t228 () (tptp.c_member @t129 @t149 @t193)) % 64.01/64.41 (define @t229 () (tptp.c_member @t129 @t223 @t64)) % 64.01/64.41 (define @t230 () (tptp.c_Product__Type_OPair @t65 @t65 @t87 @t91)) % 64.01/64.41 (define @t231 () (tptp.c_Product__Type_OPair @t65 @t65 @t88 @t91)) % 64.01/64.41 (define @t232 () (tptp.c_member @t129 @t231 @t193)) % 64.01/64.41 (define @t233 () (tptp.c_member @t129 @t150 @t193)) % 64.01/64.41 (define @t234 () (@var "V_by_2" $$unsorted)) % 64.01/64.41 (define @t235 () (@var "V_bx_2" $$unsorted)) % 64.01/64.41 (define @t236 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t235) @t234))) % 64.01/64.41 (define @t237 () (@var "B_ba" $$unsorted)) % 64.01/64.41 (define @t238 () (@var "B_aa" $$unsorted)) % 64.01/64.41 (define @t239 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t238) @t237))) % 64.01/64.41 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t134) @t133))) % 64.01/64.41 (define @t241 () (tptp.c_Product__Type_OPair @t65 @t66 @t238 @t237)) % 64.01/64.41 (define @t242 () (tptp.c_Product__Type_OPair @t65 @t66 @t134 @t133)) % 64.01/64.41 (define @t243 () (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t242 @t241) @t64)) % 64.01/64.41 (define @t244 () (tptp.c_Transitive__Closure_Ortrancl @t73 @t64)) % 64.01/64.41 (define @t245 () (@var "V_ay_2" $$unsorted)) % 64.01/64.41 (define @t246 () (@var "V_ax_2" $$unsorted)) % 64.01/64.41 (define @t247 () (tptp.c_Product__Type_OPair @t65 @t66 @t246 @t245)) % 64.01/64.41 (define @t248 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t246) @t245))) % 64.01/64.41 (define @t249 () (tptp.c_Product__Type_OPair @t65 @t66 @t235 @t234)) % 64.01/64.41 (define @t250 () (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t247 @t249) @t244)) % 64.01/64.41 (define @t251 () (@list @t29 @t64 @t234 @t235 @t245 @t246 @t66 @t65)) % 64.01/64.41 (define @t252 () (@var "V_zb_2" $$unsorted)) % 64.01/64.41 (define @t253 () (@var "V_za_2" $$unsorted)) % 64.01/64.41 (define @t254 () (tptp.c_Product__Type_OPair @t65 @t66 @t253 @t252)) % 64.01/64.41 (define @t255 () (@var "V_xb_2" $$unsorted)) % 64.01/64.41 (define @t256 () (@var "V_xa_2" $$unsorted)) % 64.01/64.41 (define @t257 () (tptp.c_Product__Type_OPair @t65 @t66 @t256 @t255)) % 64.01/64.41 (define @t258 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t144) @t193)) % 64.01/64.41 (define @t259 () (@list @t64 @t30 @t31 @t65)) % 64.01/64.41 (define @t260 () (tptp.c_Product__Type_OPair @t65 @t65 @t144 @t91)) % 64.01/64.41 (define @t261 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t88 @t144) @t64)) % 64.01/64.41 (define @t262 () (@list @t64 @t91 @t88 @t65)) % 64.01/64.41 (define @t263 () (tptp.hBOOL (tptp.hAPP @t29 @t31))) % 64.01/64.41 (define @t264 () (tptp.hBOOL (tptp.hAPP @t29 @t144))) % 64.01/64.41 (define @t265 () (tptp.hBOOL (tptp.hAPP @t29 @t179))) % 64.01/64.41 (define @t266 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t144 @t179) @t64)) % 64.01/64.41 (define @t267 () (tptp.hBOOL (tptp.hAPP @t29 @t30))) % 64.01/64.41 (define @t268 () (@list @t29 @t64 @t30 @t31 @t65)) % 64.01/64.41 (define @t269 () (forall @t146 (=> (tptp.c_member @t73 (tptp.c_Product__Type_OPair @t65 @t66 @t3 @t144) @t64) (forall @t182 (=> (tptp.c_member @t73 (tptp.c_Product__Type_OPair @t65 @t66 @t3 @t179) @t64) (= @t144 @t179)))))) % 64.01/64.41 (define @t270 () (tptp.c_Relation_Osingle__valued @t65 @t66 @t64)) % 64.01/64.41 (define @t271 () (tptp.c_Transitive__Closure_Otrancl @t65 @t64)) % 64.01/64.41 (define @t272 () (tptp.c_member @t129 @t149 @t271)) % 64.01/64.41 (define @t273 () (@var "B_f" $$unsorted)) % 64.01/64.41 (define @t274 () (@var "B_R" $$unsorted)) % 64.01/64.41 (define @t275 () (tptp.c_Product__Type_OPair @t65 @t65 @t88 @t31)) % 64.01/64.41 (define @t276 () (tptp.c_Recdef_Ocut @t65 @t66 @t2 @t64 @t31)) % 64.01/64.41 (define @t277 () (tptp.c_member @t129 @t275 @t64)) % 64.01/64.41 (define @t278 () (tptp.c_member @t129 @t205 @t271)) % 64.01/64.41 (define @t279 () (tptp.c_Transitive__Closure_Otrancl @t65 @t103)) % 64.01/64.41 (define @t280 () (@list @t103 @t65)) % 64.01/64.41 (define @t281 () (tptp.hAPP @t161 @t271)) % 64.01/64.41 (define @t282 () (tptp.c_Transitive__Closure_Otrancl @t65 @t162)) % 64.01/64.41 (define @t283 () (tptp.c_member @t129 @t221 @t271)) % 64.01/64.41 (define @t284 () (=> (tptp.c_member @t129 @t223 @t271) @t283)) % 64.01/64.41 (define @t285 () (=> @t229 @t283)) % 64.01/64.41 (define @t286 () (tptp.c_member @t129 @t231 @t271)) % 64.01/64.41 (define @t287 () (=> @t224 @t283)) % 64.01/64.41 (define @t288 () (tptp.c_member @t129 @t150 @t279)) % 64.01/64.41 (define @t289 () (@list @t103 @t87 @t88 @t65)) % 64.01/64.41 (define @t290 () (tptp.c_member @t129 @t150 @t281)) % 64.01/64.41 (define @t291 () (tptp.c_member @t129 @t150 @t282)) % 64.01/64.41 (define @t292 () (tptp.c_Product__Type_OPair @t65 @t65 @t179 @t87)) % 64.01/64.41 (define @t293 () (tptp.c_Product__Type_OPair @t65 @t65 @t88 @t179)) % 64.01/64.41 (define @t294 () (forall @t6 (not (tptp.c_member @t129 @t128 @t271)))) % 64.01/64.41 (define @t295 () (tptp.c_Wellfounded_Oacyclic @t65 @t64)) % 64.01/64.41 (define @t296 () (@var "B_c" $$unsorted)) % 64.01/64.41 (define @t297 () (not @t233)) % 64.01/64.41 (define @t298 () (tptp.c_Set_Oinsert @t129 @t217 @t64)) % 64.01/64.41 (define @t299 () (tptp.c_Relation_OId @t65)) % 64.01/64.41 (define @t300 () (@list @t31 @t65)) % 64.01/64.41 (define @t301 () (@var "B_L" $$unsorted)) % 64.01/64.41 (define @t302 () (@var "B_x1" $$unsorted)) % 64.01/64.41 (define @t303 () (tptp.c_Set_Oinsert @t65 @t30 @t78)) % 64.01/64.41 (define @t304 () (tptp.c_member @t65 @t31 @t303)) % 64.01/64.41 (define @t305 () (tptp.c_member @t65 @t31 @t78)) % 64.01/64.41 (define @t306 () (@list @t30 @t78 @t31 @t65)) % 64.01/64.41 (define @t307 () (tptp.c_member @t65 @t31 (tptp.c_Set_Oinsert @t65 @t30 @t81))) % 64.01/64.41 (define @t308 () (@list @t81 @t30 @t31 @t65)) % 64.01/64.41 (define @t309 () (tptp.c_Set_Oinsert @t65 @t87 @t81)) % 64.01/64.41 (define @t310 () (tptp.c_Set_Oinsert @t65 @t88 @t81)) % 64.01/64.41 (define @t311 () (@list @t65)) % 64.01/64.41 (define @t312 () (tptp.c_Set_Oinsert @t65 @t31 @t81)) % 64.01/64.41 (define @t313 () (@list @t81 @t31 @t65)) % 64.01/64.41 (define @t314 () (tptp.c_Set_Oinsert @t65 @t88 @t78)) % 64.01/64.41 (define @t315 () (not @t114)) % 64.01/64.41 (define @t316 () (@list @t78 @t81 @t88 @t65)) % 64.01/64.41 (define @t317 () (tptp.c_Set_Oinsert @t65 @t31 @t78)) % 64.01/64.41 (define @t318 () (tptp.c_Relation_Oantisym @t65 @t64)) % 64.01/64.41 (define @t319 () (@list @t30 @t31 @t65)) % 64.01/64.41 (define @t320 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t144 @t3) @t64)) % 64.01/64.41 (define @t321 () (forall @t146 (=> (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t3 @t144) @t64) (=> @t320 (= @t3 @t144))))) % 64.01/64.41 (define @t322 () (@var "V_b_H" $$unsorted)) % 64.01/64.41 (define @t323 () (@var "V_b" $$unsorted)) % 64.01/64.41 (define @t324 () (@var "V_a_H" $$unsorted)) % 64.01/64.41 (define @t325 () (@var "V_a" $$unsorted)) % 64.01/64.41 (define @t326 () (@var "V_f1_2" $$unsorted)) % 64.01/64.41 (define @t327 () (tptp.c_Product__Type_OPair @t66 @t123 @t31 @t30)) % 64.01/64.41 (define @t328 () (tptp.c_Wellfounded_Owf @t65 @t64)) % 64.01/64.41 (define @t329 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t65 @t66 tptp.tc_HOL_Obool @t2 @t31 @t30))) % 64.01/64.41 (define @t330 () (tptp.hBOOL (tptp.hAPP @t2 @t72))) % 64.01/64.41 (define @t331 () (@var "V_rb_2" $$unsorted)) % 64.01/64.41 (define @t332 () (@var "V_ra_2" $$unsorted)) % 64.01/64.41 (define @t333 () (forall @t6 @t167)) % 64.01/64.41 (define @t334 () (tptp.c_Wellfounded_Owf @t65 @t162)) % 64.01/64.41 (define @t335 () (tptp.c_Wellfounded_Omeasure @t65)) % 64.01/64.41 (define @t336 () (tptp.hAPP @t335 @t2)) % 64.01/64.41 (define @t337 () (@var "B_M" $$unsorted)) % 64.01/64.41 (define @t338 () (tptp.c_Recdef_Owfrec @t65 @t66 @t274 @t337)) % 64.01/64.41 (define @t339 () (@var "V_H_2" $$unsorted)) % 64.01/64.41 (define @t340 () (tptp.c_Recdef_Owfrec @t65 @t66 @t64 @t339)) % 64.01/64.41 (define @t341 () (@var "B_Q" $$unsorted)) % 64.01/64.41 (define @t342 () (tptp.c_member @t65 @t3 @t341)) % 64.01/64.41 (define @t343 () (tptp.hBOOL (tptp.hAPP @t29 @t3))) % 64.01/64.41 (define @t344 () (tptp.c_Wellfounded_Owf @t65 @t103)) % 64.01/64.41 (define @t345 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t172)) % 64.01/64.41 (define @t346 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 64.01/64.41 (define @t347 () (@list @t87 @t88)) % 64.01/64.41 (define @t348 () (tptp.c_Wellfounded_Omlex__prod @t65 @t2 @t103)) % 64.01/64.41 (define @t349 () (tptp.c_member @t129 @t150 @t348)) % 64.01/64.41 (define @t350 () (@list @t103 @t65 @t87 @t88 @t2)) % 64.01/64.41 (define @t351 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 64.01/64.41 (define @t352 () (tptp.c_Finite__Set_Ofinite @t129 @t64)) % 64.01/64.41 (define @t353 () (tptp.tc_fun @t65 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t354 () (@var "V_m_2" $$unsorted)) % 64.01/64.41 (define @t355 () (@var "V_n_2" $$unsorted)) % 64.01/64.41 (define @t356 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t355) @t354))) % 64.01/64.41 (define @t357 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t355 @t354)) % 64.01/64.41 (define @t358 () (= @t354 @t355)) % 64.01/64.41 (define @t359 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t354 @t355)) % 64.01/64.41 (define @t360 () (tptp.c_Finite__Set_Ofinite @t73 @t64)) % 64.01/64.41 (define @t361 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t354 @t355)) % 64.01/64.41 (define @t362 () (@list @t355 @t354)) % 64.01/64.41 (define @t363 () (@var "V_n" $$unsorted)) % 64.01/64.41 (define @t364 () (@list @t363)) % 64.01/64.41 (define @t365 () (not @t358)) % 64.01/64.41 (define @t366 () (@var "V_x" $$unsorted)) % 64.01/64.41 (define @t367 () (@var "V_y" $$unsorted)) % 64.01/64.41 (define @t368 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t367)) % 64.01/64.41 (define @t369 () (= @t366 @t367)) % 64.01/64.41 (define @t370 () (not @t369)) % 64.01/64.41 (define @t371 () (@list @t367 @t366)) % 64.01/64.41 (define @t372 () (@var "V_m" $$unsorted)) % 64.01/64.41 (define @t373 () (= @t372 @t363)) % 64.01/64.41 (define @t374 () (not @t373)) % 64.01/64.41 (define @t375 () (@var "V_t" $$unsorted)) % 64.01/64.41 (define @t376 () (@var "V_s" $$unsorted)) % 64.01/64.41 (define @t377 () (tptp.c_Finite__Set_Ofinite @t65 @t312)) % 64.01/64.41 (define @t378 () (tptp.c_Finite__Set_Ofinite @t65 @t81)) % 64.01/64.41 (define @t379 () (tptp.c_Wellfounded_Ofinite__psubset @t65)) % 64.01/64.41 (define @t380 () (tptp.hAPP @t100 @t81)) % 64.01/64.41 (define @t381 () (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t380 @t173)) % 64.01/64.41 (define @t382 () (tptp.hAPP @t100 @t310)) % 64.01/64.41 (define @t383 () (= @t382 @t381)) % 64.01/64.41 (define @t384 () (tptp.c_Finite__Set_Ofolding__idem @t65 @t66 @t2 @t100)) % 64.01/64.41 (define @t385 () (@list @t88 @t81 @t100 @t2 @t66 @t65)) % 64.01/64.41 (define @t386 () (tptp.c_Finite__Set_Ofolding @t65 @t66 @t2 @t100)) % 64.01/64.41 (define @t387 () (tptp.hAPP @t126 @t380)) % 64.01/64.41 (define @t388 () (= (tptp.hAPP @t100 (tptp.c_Set_Oinsert @t66 @t88 @t81)) @t387)) % 64.01/64.41 (define @t389 () (tptp.c_member @t66 @t88 @t81)) % 64.01/64.41 (define @t390 () (tptp.c_Finite__Set_Ofinite @t66 @t81)) % 64.01/64.41 (define @t391 () (tptp.c_Finite__Set_Ofolding__image__simple @t65 @t66 @t2 @t91 @t1 @t100)) % 64.01/64.41 (define @t392 () (@list @t88 @t81 @t100 @t1 @t91 @t2 @t66 @t65)) % 64.01/64.41 (define @t393 () (@var "T_f" $$unsorted)) % 64.01/64.41 (define @t394 () (@var "V_fa_2" $$unsorted)) % 64.01/64.41 (define @t395 () (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t173 @t1)) % 64.01/64.41 (define @t396 () (tptp.hAPP @t100 @t78)) % 64.01/64.41 (define @t397 () (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t380 @t1)) % 64.01/64.41 (define @t398 () (tptp.c_Finite__Set_Ofinite @t65 @t78)) % 64.01/64.41 (define @t399 () (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t380 @t396)) % 64.01/64.41 (define @t400 () (@list @t78 @t81 @t100 @t2 @t66 @t65)) % 64.01/64.41 (define @t401 () (@var "V_t_2" $$unsorted)) % 64.01/64.41 (define @t402 () (tptp.c_Product__Type_OPair @t346 @t346 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t31 @t141) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t30 @t401))) % 64.01/64.41 (define @t403 () (tptp.tc_prod @t346 @t346)) % 64.01/64.41 (define @t404 () (tptp.c_member @t403 @t402 tptp.c_FunDef_Opair__leq)) % 64.01/64.41 (define @t405 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t30)) % 64.01/64.41 (define @t406 () (@list @t401 @t141 @t30 @t31)) % 64.01/64.41 (define @t407 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t65 @t66 @t2 @t91 @t1 @t100)) % 64.01/64.41 (define @t408 () (tptp.c_member @t403 @t402 tptp.c_FunDef_Opair__less)) % 64.01/64.41 (define @t409 () (@var "V_YS_2" $$unsorted)) % 64.01/64.41 (define @t410 () (@var "V_XS_2" $$unsorted)) % 64.01/64.41 (define @t411 () (tptp.tc_fun @t346 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t412 () (tptp.tc_prod @t411 @t411)) % 64.01/64.41 (define @t413 () (tptp.c_Product__Type_OPair @t411 @t411 @t410 @t409)) % 64.01/64.41 (define @t414 () (tptp.c_Product__Type_OPair @t346 @t346 @t88 @t87)) % 64.01/64.41 (define @t415 () (tptp.c_member @t403 @t414 tptp.c_FunDef_Opair__leq)) % 64.01/64.41 (define @t416 () (tptp.c_Product__Type_OPair @t411 @t411 @t410 (tptp.c_Set_Oinsert @t346 @t87 @t409))) % 64.01/64.41 (define @t417 () (tptp.c_member @t346 @t88 @t410)) % 64.01/64.41 (define @t418 () (@list @t409 @t87 @t410 @t88)) % 64.01/64.41 (define @t419 () (@var "V_Y_2" $$unsorted)) % 64.01/64.41 (define @t420 () (@var "V_X_2" $$unsorted)) % 64.01/64.41 (define @t421 () (tptp.c_member @t403 @t414 tptp.c_FunDef_Opair__less)) % 64.01/64.41 (define @t422 () (tptp.tc_fun @t412 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t423 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t31 @t30)) % 64.01/64.41 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t372 @t363)) % 64.01/64.41 (define @t425 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t372 @t363)) % 64.01/64.41 (define @t426 () (@list @t363 @t372)) % 64.01/64.41 (define @t427 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t354 @t355)) % 64.01/64.41 (define @t428 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t363 @t372)) % 64.01/64.41 (define @t429 () (@var "V_k" $$unsorted)) % 64.01/64.41 (define @t430 () (@var "V_i" $$unsorted)) % 64.01/64.41 (define @t431 () (@var "V_j" $$unsorted)) % 64.01/64.41 (define @t432 () (tptp.class_Orderings_Opreorder @t65)) % 64.01/64.41 (define @t433 () (@list @t366 @t65)) % 64.01/64.41 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t87 @t88)) % 64.01/64.41 (define @t435 () (tptp.c_Orderings_Oord__class_Oless @t65 @t88 @t87)) % 64.01/64.41 (define @t436 () (not @t435)) % 64.01/64.41 (define @t437 () (tptp.class_Orderings_Olinorder @t65)) % 64.01/64.41 (define @t438 () (@list @t87 @t88 @t65)) % 64.01/64.41 (define @t439 () (tptp.c_Orderings_Oord__class_Oless @t65 @t87 @t88)) % 64.01/64.41 (define @t440 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t88 @t87)) % 64.01/64.41 (define @t441 () (tptp.c_Orderings_Oord__class_Oless @t65 @t367 @t366)) % 64.01/64.41 (define @t442 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t366 @t367)) % 64.01/64.41 (define @t443 () (@list @t367 @t366 @t65)) % 64.01/64.41 (define @t444 () (=> @t82 @t80)) % 64.01/64.41 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t78)) % 64.01/64.41 (define @t446 () (@list @t79 @t78 @t81 @t65)) % 64.01/64.41 (define @t447 () (@list @t88 @t78 @t81 @t65)) % 64.01/64.41 (define @t448 () (tptp.tc_fun @t129 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t449 () (@list @t205 @t64 @t65)) % 64.01/64.41 (define @t450 () (@var "V_D_2" $$unsorted)) % 64.01/64.41 (define @t451 () (@var "V_C_2" $$unsorted)) % 64.01/64.41 (define @t452 () (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t64 @t141)) % 64.01/64.41 (define @t453 () (@list @t141 @t64 @t65)) % 64.01/64.41 (define @t454 () (tptp.tc_fun @t73 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq @t454 @t64 @t141)) % 64.01/64.41 (define @t456 () (@list @t141 @t64 @t66 @t65)) % 64.01/64.41 (define @t457 () (@var "V_R1_2" $$unsorted)) % 64.01/64.41 (define @t458 () (@var "V_R2_2" $$unsorted)) % 64.01/64.41 (define @t459 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t141)) % 64.01/64.41 (define @t460 () (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t193 @t459)) % 64.01/64.41 (define @t461 () (@var "V_S_2" $$unsorted)) % 64.01/64.41 (define @t462 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t461)) % 64.01/64.41 (define @t463 () (@list @t461 @t103 @t65)) % 64.01/64.41 (define @t464 () (@list @t78 @t81 @t65)) % 64.01/64.41 (define @t465 () (@list @t81 @t78 @t65)) % 64.01/64.41 (define @t466 () (tptp.c_Orderings_Oord__class_Oless @t353 @t81 @t78)) % 64.01/64.41 (define @t467 () (tptp.tc_fun @t66 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t468 () (@list @t78 @t81 @t100 @t1 @t91 @t2 @t66 @t65)) % 64.01/64.41 (define @t469 () (tptp.tc_fun @t65 @t66)) % 64.01/64.41 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq @t469 @t2 @t1)) % 64.01/64.41 (define @t471 () (tptp.class_Orderings_Oord @t66)) % 64.01/64.41 (define @t472 () (@list @t1 @t2 @t65 @t66)) % 64.01/64.41 (define @t473 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t367 @t366)) % 64.01/64.41 (define @t474 () (tptp.class_Orderings_Oorder @t65)) % 64.01/64.41 (define @t475 () (= @t440 @t94)) % 64.01/64.41 (define @t476 () (@list @t88 @t87 @t65)) % 64.01/64.41 (define @t477 () (@var "V_c" $$unsorted)) % 64.01/64.41 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t325 @t477)) % 64.01/64.41 (define @t479 () (= @t325 @t323)) % 64.01/64.41 (define @t480 () (tptp.class_Orderings_Oord @t65)) % 64.01/64.41 (define @t481 () (@list @t477 @t323 @t325 @t65)) % 64.01/64.41 (define @t482 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t477 @t325)) % 64.01/64.41 (define @t483 () (= @t323 @t477)) % 64.01/64.41 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t325 @t323)) % 64.01/64.41 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t323 @t325)) % 64.01/64.41 (define @t486 () (@list @t477 @t325 @t323 @t65)) % 64.01/64.41 (define @t487 () (@var "V_z" $$unsorted)) % 64.01/64.41 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t367 @t487)) % 64.01/64.41 (define @t489 () (@list @t487 @t367 @t366 @t65)) % 64.01/64.41 (define @t490 () (@list @t366 @t367 @t65)) % 64.01/64.41 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t487 @t367)) % 64.01/64.41 (define @t492 () (@list @t487 @t366 @t367 @t65)) % 64.01/64.41 (define @t493 () (tptp.c_Orderings_Oord__class_Oless @t65 @t366 @t367)) % 64.01/64.41 (define @t494 () (= @t436 @t94)) % 64.01/64.41 (define @t495 () (not @t493)) % 64.01/64.41 (define @t496 () (tptp.c_Orderings_Oord__class_Oless @t65 @t323 @t325)) % 64.01/64.41 (define @t497 () (tptp.c_Orderings_Oord__class_Oless @t65 @t325 @t323)) % 64.01/64.41 (define @t498 () (@list @t323 @t325 @t65)) % 64.01/64.41 (define @t499 () (@list @t325 @t323 @t65)) % 64.01/64.41 (define @t500 () (tptp.c_Orderings_Oord__class_Oless @t65 @t325 @t477)) % 64.01/64.41 (define @t501 () (tptp.c_Orderings_Oord__class_Oless @t65 @t477 @t325)) % 64.01/64.41 (define @t502 () (tptp.c_Orderings_Oord__class_Oless @t65 @t366 @t487)) % 64.01/64.41 (define @t503 () (=> (tptp.c_Orderings_Oord__class_Oless @t65 @t367 @t487) @t502)) % 64.01/64.41 (define @t504 () (tptp.c_Orderings_Oord__class_Oless @t65 @t487 @t366)) % 64.01/64.41 (define @t505 () (=> (tptp.c_Orderings_Oord__class_Oless @t65 @t487 @t367) @t504)) % 64.01/64.41 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t78 @t81)) % 64.01/64.41 (define @t507 () (tptp.c_Product__Type_OPair @t353 @t353 @t81 @t78)) % 64.01/64.41 (define @t508 () (tptp.tc_prod @t353 @t353)) % 64.01/64.41 (define @t509 () (not @t479)) % 64.01/64.41 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq @t448 (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t103 @t461) @t103)) % 64.01/64.41 (define @t511 () (tptp.c_Orderings_Obot__class_Obot @t411)) % 64.01/64.41 (define @t512 () (tptp.c_Product__Type_OPair @t411 @t411 @t420 @t511)) % 64.01/64.41 (define @t513 () (@list @t420)) % 64.01/64.41 (define @t514 () (tptp.c_Orderings_Obot__class_Obot @t353)) % 64.01/64.41 (define @t515 () (tptp.c_Orderings_Obot__class_Obot @t448)) % 64.01/64.41 (define @t516 () (tptp.c_Relation_Orel__comp @t65 @t66 @t123 @t64 @t141)) % 64.01/64.41 (define @t517 () (tptp.tc_prod @t65 @t123)) % 64.01/64.41 (define @t518 () (tptp.tc_prod @t66 @t123)) % 64.01/64.41 (define @t519 () (tptp.c_Set_Oinsert @t65 @t88 @t514)) % 64.01/64.41 (define @t520 () (= @t81 @t514)) % 64.01/64.41 (define @t521 () (@list @t65 @t78 @t81)) % 64.01/64.41 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t451)) % 64.01/64.41 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t78 @t451)) % 64.01/64.41 (define @t524 () (@list @t451 @t78 @t81 @t65)) % 64.01/64.41 (define @t525 () (@var "V_s_H_2" $$unsorted)) % 64.01/64.41 (define @t526 () (@var "V_r_H_2" $$unsorted)) % 64.01/64.41 (define @t527 () (tptp.tc_fun @t517 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t528 () (tptp.c_Orderings_Obot__class_Obot @t65)) % 64.01/64.41 (define @t529 () (tptp.class_Orderings_Obot @t65)) % 64.01/64.41 (define @t530 () (tptp.c_Orderings_Oord__class_Oless @t353 @t81 @t451)) % 64.01/64.41 (define @t531 () (=> (tptp.c_Orderings_Oord__class_Oless @t353 @t78 @t451) @t530)) % 64.01/64.41 (define @t532 () (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t193 @t64)) % 64.01/64.41 (define @t533 () (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t64 @t193)) % 64.01/64.41 (define @t534 () (tptp.tc_fun @t66 @t65)) % 64.01/64.41 (define @t535 () (not @t520)) % 64.01/64.41 (define @t536 () (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t103 @t103)) % 64.01/64.41 (define @t537 () (tptp.c_Set_Oinsert @t65 @t30 @t514)) % 64.01/64.41 (define @t538 () (tptp.c_Set_Oinsert @t65 @t31 @t514)) % 64.01/64.41 (define @t539 () (@list @t103 @t66 @t65)) % 64.01/64.41 (define @t540 () (tptp.c_Orderings_Obot__class_Obot @t454)) % 64.01/64.41 (define @t541 () (@list @t103 @t66 @t123 @t65)) % 64.01/64.41 (define @t542 () (tptp.tc_fun (tptp.tc_prod @t123 @t66) tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t543 () (@var "V_T_2" $$unsorted)) % 64.01/64.41 (define @t544 () (tptp.tc_fun @t68 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t545 () (tptp.c_Orderings_Obot__class_Obot @t544)) % 64.01/64.41 (define @t546 () (= @t30 @t31)) % 64.01/64.41 (define @t547 () (tptp.c_member @t65 @t30 @t538)) % 64.01/64.41 (define @t548 () (@list @t31 @t30 @t65)) % 64.01/64.41 (define @t549 () (tptp.c_Set_Oinsert @t412 (tptp.c_Product__Type_OPair @t411 @t411 @t511 @t511) (tptp.c_Orderings_Obot__class_Obot @t422))) % 64.01/64.41 (define @t550 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t78)) % 64.01/64.41 (define @t551 () (tptp.c_member @t65 @t79 @t550)) % 64.01/64.41 (define @t552 () (@list @t78 @t81 @t79 @t65)) % 64.01/64.41 (define @t553 () (@list @t81 @t78 @t79 @t65)) % 64.01/64.41 (define @t554 () (@var "V_G_2" $$unsorted)) % 64.01/64.41 (define @t555 () (tptp.c_Finite__Set_Ofinite @t65 @t554)) % 64.01/64.41 (define @t556 () (tptp.c_Finite__Set_Ofinite @t65 @t100)) % 64.01/64.41 (define @t557 () (tptp.c_Finite__Set_Ofinite @t65 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t100 @t554))) % 64.01/64.41 (define @t558 () (@list @t554 @t100 @t65)) % 64.01/64.41 (define @t559 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t103 @t461)) % 64.01/64.41 (define @t560 () (tptp.c_Wellfounded_Owf @t65 @t559)) % 64.01/64.41 (define @t561 () (= (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t81 @t451) @t515)) % 64.01/64.41 (define @t562 () (@list @t78 @t451 @t81 @t65)) % 64.01/64.41 (define @t563 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t64 @t299)) % 64.01/64.41 (define @t564 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t559)) % 64.01/64.41 (define @t565 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t208 @t462)) % 64.01/64.41 (define @t566 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t78 @t451)) % 64.01/64.41 (define @t567 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t451)) % 64.01/64.41 (define @t568 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t566)) % 64.01/64.41 (define @t569 () (tptp.c_member @t65 @t3 @t78)) % 64.01/64.41 (define @t570 () (tptp.c_member @t65 @t3 @t550)) % 64.01/64.41 (define @t571 () (@list @t29 @t78 @t81 @t65)) % 64.01/64.41 (define @t572 () (= @t550 @t78)) % 64.01/64.41 (define @t573 () (tptp.c_Wellfounded_Omax__ext @t65 @t103)) % 64.01/64.41 (define @t574 () (tptp.tc_fun @t508 tptp.tc_HOL_Obool)) % 64.01/64.41 (define @t575 () (tptp.c_Set_Oinsert @t508 (tptp.c_Product__Type_OPair @t353 @t353 @t514 @t514) (tptp.c_Orderings_Obot__class_Obot @t574))) % 64.01/64.41 (define @t576 () (tptp.c_Wellfounded_Omin__ext @t65 @t103)) % 64.01/64.41 (define @t577 () (tptp.hBOOL (tptp.hAPP @t550 @t88))) % 64.01/64.41 (define @t578 () (tptp.hBOOL (tptp.hAPP @t78 @t88))) % 64.01/64.41 (define @t579 () (@var "V_Q_2" $$unsorted)) % 64.01/64.41 (define @t580 () (tptp.hAPP @t579 @t88)) % 64.01/64.41 (define @t581 () (tptp.hBOOL @t580)) % 64.01/64.41 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t29 @t579)) % 64.01/64.41 (define @t583 () (tptp.hBOOL (tptp.hAPP @t580 @t87))) % 64.01/64.41 (define @t584 () (tptp.hBOOL (tptp.hAPP @t109 @t87))) % 64.01/64.41 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t65 @t467) @t29 @t579)) % 64.01/64.41 (define @t586 () (tptp.class_Lattices_Olattice @t65)) % 64.01/64.41 (define @t587 () (tptp.class_Lattices_Osemilattice__sup @t65)) % 64.01/64.41 (define @t588 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t325 @t323)) % 64.01/64.41 (define @t589 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t366 @t367)) % 64.01/64.41 (define @t590 () (= @t589 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t367 @t366))) % 64.01/64.41 (define @t591 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t366 @t589) @t589)) % 64.01/64.41 (define @t592 () (@var "T_1" $$unsorted)) % 64.01/64.41 (define @t593 () (@var "T_2" $$unsorted)) % 64.01/64.41 (define @t594 () (tptp.tc_fun @t593 @t592)) % 64.01/64.41 (define @t595 () (tptp.class_Lattices_Olattice @t592)) % 64.01/64.41 (define @t596 () (@list @t593 @t592)) % 64.01/64.41 (define @t597 () (and (tptp.class_Finite__Set_Ofinite @t593) (tptp.class_Finite__Set_Ofinite @t592))) % 64.01/64.41 (define @t598 () (@list @t592 @t593)) % 64.01/64.41 (define @t599 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t88) @t87))) % 64.01/64.41 (define @t600 () (tptp.c_member @t9 @t14 (tptp.hAPP tptp.v_F tptp.v_P_H____))) % 64.01/64.41 (define @t601 () (tptp.c_member @t9 @t20 (tptp.hAPP tptp.v_F @t18))) % 64.01/64.41 (define @t602 () (= @t601 @t600)) % 64.01/64.41 (define @t603 () (not @t602)) % 64.01/64.41 (define @t604 () (not @t37)) % 64.01/64.41 (define @t605 () (not @t39)) % 64.01/64.41 (define @t606 () (not @t41)) % 64.01/64.41 (define @t607 () (= @t26 @t30)) % 64.01/64.41 (define @t608 () (= @t25 @t31)) % 64.01/64.41 (define @t609 () (= @t25 @t26)) % 64.01/64.41 (define @t610 () (or @t546 @t609 @t608 @t607 @t606 @t605 @t604 @t34)) % 64.01/64.41 (define @t611 () (or @t609 @t608 @t607 @t606 @t605 @t604 @t34)) % 64.01/64.41 (define @t612 () (or @t608 @t607 @t606 @t605 @t604 @t34)) % 64.01/64.41 (define @t613 () (or @t607 @t606 @t605 @t604 @t34)) % 64.01/64.41 (define @t614 () (or @t606 @t605 @t604 @t34)) % 64.01/64.41 (define @t615 () (or @t605 @t604 @t34)) % 64.01/64.41 (define @t616 () (not @t607)) % 64.01/64.41 (define @t617 () (not @t616)) % 64.01/64.41 (define @t618 () (=> @t616 @t42)) % 64.01/64.41 (define @t619 () (not @t608)) % 64.01/64.41 (define @t620 () (not @t619)) % 64.01/64.41 (define @t621 () (=> @t619 @t618)) % 64.01/64.41 (define @t622 () (not @t609)) % 64.01/64.41 (define @t623 () (not @t622)) % 64.01/64.41 (define @t624 () (=> @t622 @t621)) % 64.01/64.41 (define @t625 () (not @t546)) % 64.01/64.41 (define @t626 () (not @t625)) % 64.01/64.41 (define @t627 () (not @t22)) % 64.01/64.41 (define @t628 () (not @t12)) % 64.01/64.41 (define @t629 () (not @t19)) % 64.01/64.41 (define @t630 () (= tptp.v_b____ tptp.v_a____)) % 64.01/64.41 (define @t631 () (= tptp.v_c____ tptp.v_b____)) % 64.01/64.41 (define @t632 () (or @t7 @t631 @t631 @t630 @t629 @t628 @t627 @t602)) % 64.01/64.41 (define @t633 () (forall @t52 @t610)) % 64.01/64.41 (define @t634 () (@list tptp.v_P_H____ @t18 tptp.v_c____ tptp.v_b____ tptp.v_a____ tptp.v_b____)) % 64.01/64.41 (define @t635 () (forall @t16 (= @t15 @t21))) % 64.01/64.41 (define @t636 () (not @t635)) % 64.01/64.41 (define @t637 () (or @t630 @t8 @t8 @t630 @t629 @t628 @t636 @t602)) % 64.01/64.41 (define @t638 () (@list false)) % 64.01/64.41 (define @t639 () (not @t33)) % 64.01/64.41 (define @t640 () (or @t546 @t609 @t608 @t607 @t606 @t605 @t604 @t639 @t28)) % 64.01/64.41 (define @t641 () (or @t609 @t608 @t607 @t606 @t605 @t604 @t639 @t28)) % 64.01/64.41 (define @t642 () (or @t608 @t607 @t606 @t605 @t604 @t639 @t28)) % 64.01/64.41 (define @t643 () (or @t607 @t606 @t605 @t604 @t639 @t28)) % 64.01/64.41 (define @t644 () (or @t606 @t605 @t604 @t639 @t28)) % 64.01/64.41 (define @t645 () (or @t605 @t604 @t639 @t28)) % 64.01/64.41 (define @t646 () (or @t604 @t639 @t28)) % 64.01/64.41 (define @t647 () (=> @t616 @t57)) % 64.01/64.41 (define @t648 () (=> @t619 @t647)) % 64.01/64.41 (define @t649 () (=> @t622 @t648)) % 64.01/64.41 (define @t650 () (not @t601)) % 64.01/64.41 (define @t651 () (or @t7 @t631 @t631 @t630 @t629 @t628 @t627 @t650 @t600)) % 64.01/64.41 (define @t652 () (forall @t52 @t640)) % 64.01/64.41 (define @t653 () (or @t630 @t8 @t8 @t630 @t629 @t628 @t636 @t650 @t600)) % 64.01/64.41 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 64.01/64.41 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 64.01/64.41 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 64.01/64.41 (assume @p4 (not @t7)) % 64.01/64.41 (assume @p5 (not @t8)) % 64.01/64.41 (assume @p6 (not (= tptp.v_a____ tptp.v_c____))) % 64.01/64.41 (assume @p7 (tptp.c_member @t11 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.01/64.41 (assume @p8 @t12) % 64.01/64.41 (assume @p9 (forall @t16 (= (tptp.c_member @t9 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____) (tptp.hAPP tptp.v_P____ @t13)) @t15))) % 64.01/64.41 (assume @p10 @t19) % 64.01/64.41 (assume @p11 @t22) % 64.01/64.41 (assume @p12 @t53) % 64.01/64.41 (assume @p13 @t62) % 64.01/64.41 (assume @p14 (forall (@list @t23 @t29 @t30 @t31) (=> @t50 (=> @t41 (=> @t39 (=> (forall @t16 (= @t36 (tptp.c_member @t9 @t63 @t35))) (= @t33 (tptp.c_member @t9 @t63 @t24)))))))) % 64.01/64.41 (assume @p15 (forall @t75 (= @t74 @t69))) % 64.01/64.41 (assume @p16 (forall @t75 (=> @t77 (tptp.c_member @t68 @t67 @t76)))) % 64.01/64.41 (assume @p17 (forall @t75 (=> @t74 @t69))) % 64.01/64.41 (assume @p18 (forall (@list @t79 @t65 @t78 @t81) (=> @t85 (=> (=> @t82 @t84) (not @t83))))) % 64.01/64.41 (assume @p19 (forall @t98 (= (tptp.c_member @t9 @t89 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t86 @t91)) (and @t97 (=> @t92 @t95) (=> @t93 @t90))))) % 64.01/64.41 (assume @p20 (forall @t98 (= (tptp.c_member @t9 @t89 (tptp.c_Arrow__Order__Mirabelle_Omktop @t86 @t91)) (and @t93 (=> @t96 @t95) (=> @t97 @t90))))) % 64.01/64.41 (assume @p21 (forall (@list @t99 @t100) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t100 @t99) (forall @t6 (=> @t102 (= @t101 (tptp.hAPP @t3 @t99))))))) % 64.01/64.41 (assume @p22 (forall (@list @t87 @t88 @t103 @t66 @t65) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t65 @t66 @t103) @t88) @t87)) (tptp.c_member @t73 @t104 @t103)))) % 64.01/64.41 (assume @p23 (forall (@list @t65 @t103 @t87 @t106 @t66 @t88 @t29) (=> @t110 (=> (tptp.c_member @t108 (tptp.c_Product__Type_OPair @t66 @t66 @t106 @t87) (tptp.hAPP @t103 @t88)) (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 (tptp.c_Product__Type_OPair @t65 @t66 @t88 @t106) @t104) @t105))))) % 64.01/64.41 (assume @p24 (forall @t112 (=> @t49 (=> (tptp.c_member @t65 @t30 @t81) @t111)))) % 64.01/64.41 (assume @p25 (forall (@list @t81 @t65 @t87 @t88) (=> @t94 (= @t114 @t113)))) % 64.01/64.41 (assume @p26 (forall (@list @t88 @t65 @t78 @t81) (=> @t85 (= @t114 @t115)))) % 64.01/64.41 (assume @p27 (forall @t117 (= @t114 @t116))) % 64.01/64.41 (assume @p28 (forall (@list @t121 @t122 @t123 @t65 @t66 @t118 @t119 @t120 @t88 @t1 @t2) (=> (= @t126 (tptp.hAPP @t120 (tptp.hAPP @t119 @t118))) (= @t124 (tptp.hAPP (tptp.c_Fun_Ocomp @t122 @t65 @t121 @t120 @t119) @t118))))) % 64.01/64.41 (assume @p29 (forall @t127 (= (tptp.hAPP @t70 @t76) @t64))) % 64.01/64.41 (assume @p30 (forall @t131 (= (tptp.c_Relation_Oirrefl @t65 @t64) (forall @t6 (not @t130))))) % 64.01/64.41 (assume @p31 (forall @t140 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t100) (forall @t6 (=> @t102 (forall @t139 (=> (tptp.c_member @t11 @t132 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t138 (=> (forall @t16 (= @t137 (tptp.c_member @t9 @t135 (tptp.hAPP @t132 @t13)))) (= @t136 (tptp.c_member @t9 @t135 (tptp.hAPP @t100 @t132)))))))))))) % 64.01/64.41 (assume @p32 (forall @t140 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t100) (forall @t6 (=> @t102 (forall @t138 (=> (forall @t16 @t137) @t136))))))) % 64.01/64.41 (assume @p33 (forall (@list @t141 @t64 @t25 @t26 @t30 @t31 @t66 @t65) (= (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t72 @t143) (tptp.c_Wellfounded_Olex__prod @t65 @t66 @t64 @t141)) (or (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t26) @t64) (and @t142 (tptp.c_member @t108 (tptp.c_Product__Type_OPair @t66 @t66 @t30 @t25) @t141)))))) % 64.01/64.41 (assume @p34 (forall (@list @t64 @t145 @t66 @t65) (=> (tptp.c_member @t73 @t145 @t71) (not (forall @t146 (=> (= @t145 (tptp.c_Product__Type_OPair @t65 @t66 @t144 @t3)) (not (tptp.c_member @t68 (tptp.c_Product__Type_OPair @t66 @t65 @t3 @t144) @t64)))))))) % 64.01/64.41 (assume @p35 (forall @t75 (=> @t77 (tptp.c_member @t66 @t30 @t147)))) % 64.01/64.41 (assume @p36 (forall @t112 (=> @t49 (=> @t111 (tptp.c_member @t129 @t149 @t148))))) % 64.01/64.41 (assume @p37 (forall @t151 (= (tptp.c_member @t129 @t150 @t148) (and @t94 @t114)))) % 64.01/64.41 (assume @p38 (forall @t75 (=> @t77 @t153))) % 64.01/64.41 (assume @p39 (forall @t131 (= (tptp.c_Nitpick_Orefl_H @t65 @t64) (forall @t6 @t130)))) % 64.01/64.41 (assume @p40 (forall @t156 (= @t155 (forall @t6 (=> @t154 (forall @t139 (=> (tptp.c_member @t65 @t132 @t81) (=> (not (= @t3 @t132)) (or (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t3 @t132) @t64) (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t132 @t3) @t64)))))))))) % 64.01/64.41 (assume @p41 (forall @t157 (= (tptp.c_Relation_ORange @t65 @t65 @t148) @t81))) % 64.01/64.41 (assume @p42 (forall @t157 (= (tptp.c_Relation_ODomain @t65 @t65 @t148) @t81))) % 64.01/64.41 (assume @p43 (forall @t127 (= @t159 @t158))) % 64.01/64.41 (assume @p44 (forall @t160 (= @t158 @t159))) % 64.01/64.41 (assume @p45 (forall @t127 (= (tptp.c_Relation_ORange @t66 @t65 @t76) @t152))) % 64.01/64.41 (assume @p46 (forall @t157 (= (tptp.hAPP @t161 @t148) @t148))) % 64.01/64.41 (assume @p47 (forall @t156 (= (tptp.c_Relation_Ototal__on @t65 @t81 @t162) @t155))) % 64.01/64.41 (assume @p48 (forall @t165 (= @t153 (exists @t164 @t163)))) % 64.01/64.41 (assume @p49 (forall @t165 (= (tptp.c_member @t65 @t31 @t159) (exists @t164 (tptp.c_member @t68 (tptp.c_Product__Type_OPair @t66 @t65 @t144 @t31) @t64))))) % 64.01/64.41 (assume @p50 (forall (@list @t81 @t79 @t65) (=> (tptp.c_member @t129 @t79 @t148) (not (forall @t6 (=> @t154 (not (= @t79 @t128)))))))) % 64.01/64.41 (assume @p51 (forall (@list @t64 @t66 @t30 @t65) (=> (tptp.c_member @t65 @t30 @t159) (not (forall @t6 (not (tptp.c_member @t68 (tptp.c_Product__Type_OPair @t66 @t65 @t3 @t30) @t64))))))) % 64.01/64.41 (assume @p52 (forall @t165 (=> @t153 (not (forall @t164 (not @t163)))))) % 64.01/64.41 (assume @p53 (forall @t169 (= @t168 (forall @t6 (=> (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t3 @t31) @t64) @t167))))) % 64.01/64.41 (assume @p54 (forall (@list @t31 @t64 @t30 @t65) (=> @t171 (=> @t170 @t168)))) % 64.01/64.41 (assume @p55 (forall (@list @t2 @t64 @t66 @t87 @t88 @t65) (= (tptp.c_member @t129 @t150 (tptp.hAPP (tptp.c_Relation_Oinv__image @t66 @t65 @t64) @t2)) (tptp.c_member @t108 (tptp.c_Product__Type_OPair @t66 @t66 @t173 @t172) @t64)))) % 64.01/64.41 (assume @p56 (forall @t176 (=> @t175 (=> @t174 @t114)))) % 64.01/64.41 (assume @p57 (forall @t176 (=> @t175 (=> @t174 @t113)))) % 64.01/64.41 (assume @p58 (forall (@list @t31 @t64 @t81 @t65) (=> @t175 (=> @t111 @t178)))) % 64.01/64.41 (assume @p59 (forall @t188 (= (tptp.c_Recdef_Owfrec__rel @t65 @t66 @t103 @t100 @t181 @t186) (exists @t187 (and (= @t186 @t184) @t183))))) % 64.01/64.41 (assume @p60 (forall @t156 (= (tptp.c_Relation_Orefl__on @t65 @t81 @t162) @t175))) % 64.01/64.41 (assume @p61 (forall @t157 (tptp.c_Relation_Orefl__on @t65 @t81 @t148))) % 64.01/64.41 (assume @p62 (forall (@list @t2 @t103 @t66 @t65) (= (tptp.hAPP @t161 (tptp.hAPP (tptp.c_Relation_Oinv__image @t66 @t65 @t103) @t2)) (tptp.hAPP (tptp.c_Relation_Oinv__image @t66 @t65 (tptp.hAPP (tptp.c_Relation_Oconverse @t66 @t66) @t103)) @t2)))) % 64.01/64.41 (assume @p63 (forall (@list @t103 @t88 @t65) (=> (not (tptp.c_member @t65 @t88 @t189)) (not (forall @t182 (=> @t190 (tptp.c_member @t65 @t179 @t189))))))) % 64.01/64.41 (assume @p64 (forall (@list @t64 @t88 @t65) (=> (forall @t164 (=> @t192 (tptp.c_member @t65 @t144 @t166))) @t191))) % 64.01/64.41 (assume @p65 (forall (@list @t1 @t100 @t66 @t103 @t88 @t65) (=> (forall @t182 (=> @t190 (tptp.c_Recdef_Owfrec__rel @t65 @t66 @t103 @t100 @t179 (tptp.hAPP @t1 @t179)))) (tptp.c_Recdef_Owfrec__rel @t65 @t66 @t103 @t100 @t88 (tptp.hAPP (tptp.hAPP @t100 @t1) @t88))))) % 64.01/64.41 (assume @p66 (forall @t188 (= (tptp.c_Recdef_Owfrec__rel @t65 @t66 @t103 @t100 @t181 @t185) (exists @t187 (and (= @t185 @t184) @t183))))) % 64.01/64.41 (assume @p67 (forall (@list @t30 @t64 @t31 @t65) (=> @t168 (=> @t195 @t171)))) % 64.01/64.41 (assume @p68 (forall (@list @t64 @t31 @t30 @t65) (=> @t195 (=> @t168 @t171)))) % 64.01/64.41 (assume @p69 (forall (@list @t30 @t31 @t86) (=> @t196 (=> (tptp.c_member @t9 @t32 @t86) (not (tptp.c_member @t9 @t63 @t86)))))) % 64.01/64.41 (assume @p70 (forall (@list @t87 @t88 @t86) (=> @t196 (=> @t95 (= (not @t90) (tptp.c_member @t9 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t87 @t88) @t86)))))) % 64.01/64.41 (assume @p71 (forall (@list @t198 @t79 @t122 @t30 @t31 @t65 @t66 @t123) (=> @t200 (forall (@list @t197) (= (tptp.hAPP @t31 (tptp.hAPP @t30 @t197)) (tptp.hAPP @t79 (tptp.hAPP @t198 @t197))))))) % 64.01/64.41 (assume @p72 (forall (@list @t86) (= (tptp.c_member @t10 (tptp.hAPP @t17 @t86) tptp.c_Arrow__Order__Mirabelle_OLin) @t196))) % 64.01/64.41 (assume @p73 (forall @t201 (=> @t196 (tptp.c_member @t10 (tptp.c_Arrow__Order__Mirabelle_Omktop @t86 @t88) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.01/64.41 (assume @p74 (forall @t201 (=> @t196 (tptp.c_member @t10 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t86 @t88) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.01/64.41 (assume @p75 (forall (@list @t202 @t1 @t122 @t2 @t65 @t66 @t123) (= (tptp.c_Fun_Ocomp @t123 @t66 @t65 @t2 (tptp.c_Fun_Ocomp @t122 @t123 @t65 @t1 @t202)) (tptp.c_Fun_Ocomp @t122 @t66 @t65 (tptp.c_Fun_Ocomp @t123 @t66 @t122 @t2 @t1) @t202)))) % 64.01/64.41 (assume @p76 (forall (@list @t88 @t1 @t2 @t123 @t65 @t66) (= @t124 @t126))) % 64.01/64.41 (assume @p77 (forall (@list @t203 @t198 @t79 @t122 @t30 @t31 @t65 @t66 @t123) (=> @t200 (= @t204 (tptp.hAPP @t79 (tptp.hAPP @t198 @t203)))))) % 64.01/64.41 (assume @p78 (forall @t169 (tptp.c_member @t129 @t177 @t193))) % 64.01/64.41 (assume @p79 (forall @t207 (=> @t206 (tptp.c_member @t129 @t205 @t193)))) % 64.01/64.41 (assume @p80 (forall (@list @t87 @t103 @t88 @t65) (=> (not (tptp.c_member @t65 @t88 (tptp.c_Relation_ODomain @t65 @t65 @t103))) (= @t209 @t94)))) % 64.01/64.41 (assume @p81 (forall @t213 (=> @t50 (=> @t196 (= (tptp.c_member @t9 @t89 (tptp.c_Arrow__Order__Mirabelle_Oabove @t86 @t31 @t30)) (and @t95 (=> @t212 (tptp.c_member @t9 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t31 @t87) @t86)) (=> (not @t212) (and (=> @t210 (or @t211 (tptp.c_member @t9 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t88 @t31) @t86))) (=> (not @t210) @t90))))))))) % 64.01/64.41 (assume @p82 (forall @t213 (=> @t50 (=> @t196 (= (tptp.c_member @t9 @t89 (tptp.c_Arrow__Order__Mirabelle_Obelow @t86 @t31 @t30)) (and @t95 (=> @t214 (tptp.c_member @t9 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t88 @t30) @t86)) (=> (not @t214) (and (=> @t211 (or @t210 (tptp.c_member @t9 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t30 @t87) @t86))) (=> (not @t211) @t90))))))))) % 64.01/64.41 (assume @p83 (forall @t219 (=> @t218 @t216))) % 64.01/64.41 (assume @p84 (forall @t220 (=> @t216 @t218))) % 64.01/64.41 (assume @p85 (forall @t226 (=> @t170 @t225))) % 64.01/64.41 (assume @p86 (forall @t131 (= (tptp.c_Transitive__Closure_Ortrancl @t65 @t193) @t193))) % 64.01/64.41 (assume @p87 (forall @t131 (= @t215 (tptp.hAPP @t161 @t193)))) % 64.01/64.41 (assume @p88 (forall @t227 (=> @t95 (=> @t196 (tptp.c_member @t10 (tptp.c_Arrow__Order__Mirabelle_Obelow @t86 @t88 @t87) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.01/64.41 (assume @p89 (forall @t227 (=> @t95 (=> @t196 (tptp.c_member @t10 (tptp.c_Arrow__Order__Mirabelle_Oabove @t86 @t88 @t87) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.01/64.41 (assume @p90 (forall @t226 (=> @t228 @t225))) % 64.01/64.41 (assume @p91 (forall @t226 (=> @t228 (=> @t229 @t222)))) % 64.01/64.41 (assume @p92 (forall (@list @t91 @t87 @t88 @t64 @t65) (=> (tptp.c_Relation_Osingle__valued @t65 @t65 @t64) (=> @t233 (=> @t232 (or (tptp.c_member @t129 @t230 @t193) (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t91 @t87) @t193))))))) % 64.01/64.41 (assume @p93 (forall (@list @t30 @t31) (=> @t50 (exists @t6 (and (tptp.c_member @t10 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t9 @t32 @t3)))))) % 64.01/64.41 (assume @p94 (forall @t251 (=> @t250 (=> @t248 (=> (forall @t138 (=> (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t247 @t242) @t244) (forall (@list @t238 @t237) (=> @t243 (=> @t240 @t239))))) @t236))))) % 64.01/64.41 (assume @p95 (forall @t251 (=> @t250 (=> @t236 (=> (forall (@list @t134 @t133 @t238 @t237) (=> @t243 (=> (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t241 @t249) @t244) (=> @t239 @t240)))) @t248))))) % 64.01/64.41 (assume @p96 (forall (@list @t64 @t252 @t253 @t255 @t256 @t66 @t65) (=> (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t257 @t254) @t244) (=> (not (= @t257 @t254)) (not (forall @t138 (=> (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t257 @t242) @t64) (not (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t73 @t73 @t242 @t254) @t244))))))))) % 64.01/64.41 (assume @p97 (forall @t259 (=> @t228 (=> @t50 (not (forall @t164 (=> @t258 (not (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t144 @t30) @t64))))))))) % 64.01/64.41 (assume @p98 (forall @t262 (=> @t232 (=> @t93 (not (forall @t164 (=> @t261 (not (tptp.c_member @t129 @t260 @t193))))))))) % 64.01/64.41 (assume @p99 (forall @t268 (=> @t228 (=> @t267 (=> (forall (@list @t144 @t179) (=> @t266 (=> (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t179 @t30) @t193) (=> @t265 @t264)))) @t263))))) % 64.01/64.41 (assume @p100 (forall @t157 (tptp.c_Relation_Osingle__valued @t65 @t65 @t148))) % 64.01/64.41 (assume @p101 (forall @t160 (= @t270 @t269))) % 64.01/64.41 (assume @p102 (forall (@list @t91 @t87 @t88 @t64 @t66 @t65) (=> @t270 (=> (tptp.c_member @t73 @t104 @t64) (=> (tptp.c_member @t73 (tptp.c_Product__Type_OPair @t65 @t66 @t88 @t91) @t64) @t96))))) % 64.01/64.41 (assume @p103 (forall @t160 (=> @t269 @t270))) % 64.01/64.41 (assume @p104 (forall @t268 (=> @t228 (=> @t263 (=> (forall @t164 (=> @t258 (forall @t182 (=> @t266 (=> @t264 @t265))))) @t267))))) % 64.01/64.41 (assume @p105 (forall @t259 (=> @t272 @t228))) % 64.01/64.41 (assume @p106 (forall (@list @t203 @t79 @t30 @t31 @t65 @t66 @t123) (=> (= @t199 @t79) (= @t204 (tptp.hAPP @t79 @t203))))) % 64.01/64.41 (assume @p107 (forall (@list @t66 @t31 @t88 @t65 @t273 @t274) (=> (tptp.c_member @t129 @t275 @t274) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t65 @t66 @t273 @t274 @t31) @t88) (tptp.hAPP @t273 @t88))))) % 64.01/64.41 (assume @p108 (forall (@list @t1 @t88 @t64 @t2 @t66 @t65) (= (= (tptp.c_Recdef_Ocut @t65 @t66 @t2 @t64 @t88) (tptp.c_Recdef_Ocut @t65 @t66 @t1 @t64 @t88)) (forall @t164 (=> @t192 (= (tptp.hAPP @t2 @t144) (tptp.hAPP @t1 @t144))))))) % 64.01/64.41 (assume @p109 (forall (@list @t2 @t66 @t64 @t31 @t88 @t65) (=> @t277 (= (tptp.hAPP @t276 @t88) @t173)))) % 64.01/64.41 (assume @p110 (forall @t259 (=> @t170 @t272))) % 64.01/64.41 (assume @p111 (forall @t207 (=> @t206 @t278))) % 64.01/64.41 (assume @p112 (forall @t280 (= (tptp.c_Transitive__Closure_Ortrancl @t65 @t279) @t208))) % 64.01/64.41 (assume @p113 (forall @t280 (= (tptp.c_Transitive__Closure_Otrancl @t65 @t208) @t208))) % 64.01/64.41 (assume @p114 (forall @t131 (= @t282 @t281))) % 64.01/64.41 (assume @p115 (forall @t131 (= (tptp.c_Relation_ODomain @t65 @t65 @t271) (tptp.c_Relation_ODomain @t65 @t65 @t64)))) % 64.01/64.41 (assume @p116 (forall @t131 (= (tptp.c_Relation_ORange @t65 @t65 @t271) (tptp.c_Relation_ORange @t65 @t65 @t64)))) % 64.01/64.41 (assume @p117 (forall @t226 (=> @t272 @t284))) % 64.01/64.41 (assume @p118 (forall @t226 (=> @t272 @t285))) % 64.01/64.41 (assume @p119 (forall @t226 (=> @t170 @t284))) % 64.01/64.41 (assume @p120 (forall (@list @t79 @t103 @t30 @t31 @t65) (=> (tptp.c_member @t129 @t149 @t103) (=> (tptp.c_member @t129 @t223 @t103) (tptp.c_member @t129 @t221 @t279))))) % 64.01/64.41 (assume @p121 (forall (@list @t91 @t64 @t87 @t88 @t65) (=> @t233 (=> (tptp.c_member @t129 @t230 @t271) @t286)))) % 64.01/64.41 (assume @p122 (forall @t226 (=> @t272 @t287))) % 64.01/64.41 (assume @p123 (forall @t226 (=> @t228 @t285))) % 64.01/64.41 (assume @p124 (forall (@list @t103 @t30 @t31 @t65) (=> (tptp.c_member @t129 @t149 @t208) (or @t49 (and @t50 (tptp.c_member @t129 @t149 @t279)))))) % 64.01/64.41 (assume @p125 (forall @t226 (=> @t170 @t287))) % 64.01/64.41 (assume @p126 (forall @t289 (= @t209 (or @t94 (and @t95 @t288))))) % 64.01/64.41 (assume @p127 (forall @t220 (=> @t291 @t290))) % 64.01/64.41 (assume @p128 (forall @t220 (=> @t290 @t291))) % 64.01/64.41 (assume @p129 (forall @t289 (=> @t288 (exists @t182 (and (tptp.c_member @t129 @t293 @t103) (tptp.c_member @t129 @t292 @t208)))))) % 64.01/64.41 (assume @p130 (forall @t289 (=> @t288 (exists @t182 (and (tptp.c_member @t129 @t293 @t208) (tptp.c_member @t129 @t292 @t103)))))) % 64.01/64.41 (assume @p131 (forall @t131 (= @t295 @t294))) % 64.01/64.41 (assume @p132 (forall @t259 (=> @t272 (=> (not @t170) (not (forall (@list @t296) (=> (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t296) @t271) (not (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t296 @t30) @t64))))))))) % 64.01/64.41 (assume @p133 (forall @t262 (=> @t286 (=> (not (tptp.c_member @t129 @t231 @t64)) (not (forall @t164 (=> @t261 (not (tptp.c_member @t129 @t260 @t271))))))))) % 64.01/64.41 (assume @p134 (forall (@list @t87 @t88 @t64 @t65) (=> @t294 (=> @t174 @t95)))) % 64.01/64.41 (assume @p135 (forall (@list @t88 @t100 @t103 @t65 @t66) (= (tptp.c_Nitpick_Owf__wfrec_H @t66 @t65 @t103 @t100 @t88) (tptp.hAPP (tptp.hAPP @t100 (tptp.c_Recdef_Ocut @t66 @t65 (tptp.c_Nitpick_Owf__wfrec @t66 @t65 @t103 @t100) @t103 @t88)) @t88)))) % 64.01/64.41 (assume @p136 (forall @t131 (= (tptp.c_Wellfounded_Oacyclic @t65 @t162) @t295))) % 64.01/64.41 (assume @p137 (forall @t131 (=> @t294 @t295))) % 64.01/64.41 (assume @p138 (forall @t219 (= (tptp.c_Wellfounded_Oacyclic @t65 @t298) (and @t295 @t297)))) % 64.01/64.41 (assume @p139 (forall @t131 (=> @t295 (tptp.c_Relation_Oantisym @t65 @t193)))) % 64.01/64.41 (assume @p140 (forall @t300 (tptp.c_member @t129 @t177 @t299))) % 64.01/64.41 (assume @p141 (exists (@list @t301) (tptp.c_member @t10 @t301 tptp.c_Arrow__Order__Mirabelle_OLin))) % 64.01/64.41 (assume @p142 (forall (@list @t66 @t65 @t29) (= (forall (@list @t302) (tptp.hBOOL (tptp.hAPP @t29 @t302))) (forall @t138 (tptp.hBOOL (tptp.hAPP @t29 @t242)))))) % 64.01/64.41 (assume @p143 (forall @t306 (=> (=> (not @t305) @t49) @t304))) % 64.01/64.41 (assume @p144 (forall @t308 (=> @t307 (=> @t50 @t111)))) % 64.01/64.41 (assume @p145 (forall (@list @t88 @t81 @t87 @t65) (= (tptp.hBOOL (tptp.hAPP @t309 @t88)) (or (= @t87 @t88) @t116)))) % 64.01/64.41 (assume @p146 (forall @t151 (= (tptp.c_Set_Oinsert @t65 @t88 @t309) (tptp.c_Set_Oinsert @t65 @t87 @t310)))) % 64.01/64.41 (assume @p147 (forall @t117 (= (tptp.c_Set_Oinsert @t65 @t88 @t310) @t310))) % 64.01/64.41 (assume @p148 (forall @t311 (tptp.c_Relation_Oantisym @t65 @t299))) % 64.01/64.41 (assume @p149 (forall @t75 (= (tptp.c_Relation_ODomain @t65 @t66 (tptp.c_Set_Oinsert @t73 @t72 @t64)) (tptp.c_Set_Oinsert @t65 @t31 @t152)))) % 64.01/64.41 (assume @p150 (forall (@list @t64 @t30 @t31 @t65 @t66) (= (tptp.c_Relation_ORange @t66 @t65 (tptp.c_Set_Oinsert @t68 (tptp.c_Product__Type_OPair @t66 @t65 @t31 @t30) @t64)) (tptp.c_Set_Oinsert @t65 @t30 @t159)))) % 64.01/64.41 (assume @p151 (forall @t313 (=> @t111 (= @t312 @t81)))) % 64.01/64.41 (assume @p152 (forall @t306 (=> @t305 @t304))) % 64.01/64.41 (assume @p153 (forall @t316 (=> @t315 (=> (not @t115) (= (= @t310 @t314) @t85))))) % 64.01/64.41 (assume @p154 (forall @t308 (= @t307 (or @t49 @t111)))) % 64.01/64.41 (assume @p155 (forall (@list @t78 @t31 @t65) (tptp.c_member @t65 @t31 @t317))) % 64.01/64.41 (assume @p156 (forall @t311 (= (tptp.hAPP @t161 @t299) @t299))) % 64.01/64.41 (assume @p157 (forall @t311 (tptp.c_Relation_Osingle__valued @t65 @t65 @t299))) % 64.01/64.41 (assume @p158 (forall @t131 (= (tptp.c_Relation_Oantisym @t65 @t162) @t318))) % 64.01/64.41 (assume @p159 (forall @t157 (tptp.c_Relation_Oantisym @t65 @t148))) % 64.01/64.41 (assume @p160 (forall @t319 (= (tptp.c_member @t129 @t149 @t299) @t49))) % 64.01/64.41 (assume @p161 (forall (@list @t30 @t31 @t64 @t65) (=> @t318 (=> @t170 (=> (tptp.c_member @t129 @t194 @t64) @t49))))) % 64.01/64.41 (assume @p162 (forall @t131 (= @t318 @t321))) % 64.01/64.41 (assume @p163 (forall (@list @t322 @t324 @t323 @t325 @t66 @t65) (=> (= (tptp.c_Product__Type_OPair @t65 @t66 @t325 @t323) (tptp.c_Product__Type_OPair @t65 @t66 @t324 @t322)) (not (=> (= @t325 @t324) (not (= @t323 @t322))))))) % 64.01/64.41 (assume @p164 (forall (@list @t25 @t26 @t30 @t31 @t66 @t65) (= (= @t72 @t143) (and @t142 (= @t30 @t25))))) % 64.01/64.41 (assume @p165 (forall (@list @t30 @t31 @t326 @t65 @t123 @t66) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t66 @t123 @t65 @t326 @t327) (tptp.hAPP (tptp.hAPP @t326 @t31) @t30)))) % 64.01/64.41 (assume @p166 (forall (@list @t205 @t65) (=> (tptp.c_member @t129 @t205 @t299) (not (forall @t6 (not (= @t205 @t128))))))) % 64.01/64.41 (assume @p167 (forall (@list @t30 @t31 @t79 @t65 @t123 @t66) (= (tptp.c_Product__Type_Ointernal__split @t66 @t123 @t65 @t79 @t327) (tptp.hAPP (tptp.hAPP @t79 @t31) @t30)))) % 64.01/64.41 (assume @p168 (forall @t219 (= (tptp.c_Wellfounded_Owf @t65 @t298) (and @t328 @t297)))) % 64.01/64.41 (assume @p169 (forall @t131 (=> @t321 @t318))) % 64.01/64.41 (assume @p170 (forall (@list @t30 @t31 @t66 @t65 @t2) (=> @t330 @t329))) % 64.01/64.41 (assume @p171 (forall (@list @t2 @t66 @t64 @t65) (=> @t328 (tptp.c_Wellfounded_Owf @t66 (tptp.hAPP (tptp.c_Relation_Oinv__image @t65 @t66 @t64) @t2))))) % 64.01/64.41 (assume @p172 (forall (@list @t331 @t66 @t332 @t65) (=> (tptp.c_Wellfounded_Owf @t65 @t332) (=> (tptp.c_Wellfounded_Owf @t66 @t331) (tptp.c_Wellfounded_Owf @t73 (tptp.c_Wellfounded_Olex__prod @t65 @t66 @t332 @t331)))))) % 64.01/64.41 (assume @p173 (forall @t131 (=> @t328 (tptp.c_Wellfounded_Owf @t65 @t271)))) % 64.01/64.41 (assume @p174 (forall @t131 (=> @t328 @t295))) % 64.01/64.41 (assume @p175 (forall (@list @t31 @t64 @t65) (=> @t328 (not @t178)))) % 64.01/64.41 (assume @p176 (forall (@list @t88 @t31 @t64 @t65) (=> @t328 (=> (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t65 @t65 @t31 @t88) @t64) (not @t277))))) % 64.01/64.41 (assume @p177 (forall @t131 (= @t328 @t333))) % 64.01/64.41 (assume @p178 (forall (@list @t88 @t64 @t65) (=> @t328 @t191))) % 64.01/64.41 (assume @p179 (forall @t131 (=> @t334 (tptp.c_Wellfounded_Owf @t65 @t281)))) % 64.01/64.41 (assume @p180 (forall (@list @t30 @t31 @t2 @t66 @t65) (=> @t329 @t330))) % 64.01/64.41 (assume @p181 (forall (@list @t30 @t31 @t2 @t65 @t123 @t66) (= (tptp.c_Product__Type_Ocurry @t66 @t123 @t65 @t2 @t31 @t30) (tptp.hAPP @t2 @t327)))) % 64.01/64.41 (assume @p182 (forall (@list @t2 @t65) (tptp.c_Wellfounded_Owf @t65 @t336))) % 64.01/64.41 (assume @p183 (forall (@list @t66 @t65 @t337 @t274) (=> (tptp.c_Wellfounded_Owf @t65 @t274) (forall @t6 (= (tptp.hAPP @t338 @t3) (tptp.hAPP (tptp.hAPP @t337 (tptp.c_Recdef_Ocut @t65 @t66 @t338 @t274 @t3)) @t3)))))) % 64.01/64.41 (assume @p184 (forall (@list @t31 @t339 @t66 @t64 @t65) (=> @t328 (= (tptp.hAPP @t340 @t31) (tptp.hAPP (tptp.hAPP @t339 (tptp.c_Recdef_Ocut @t65 @t66 @t340 @t64 @t31)) @t31))))) % 64.01/64.41 (assume @p185 (forall (@list @t31 @t339 @t64 @t66 @t65 @t2) (=> (= @t2 @t340) (=> @t328 (= (tptp.hAPP @t2 @t31) (tptp.hAPP (tptp.hAPP @t339 @t276) @t31)))))) % 64.01/64.41 (assume @p186 (forall @t131 (= @t328 (forall (@list @t341) (=> (exists @t6 @t342) (exists @t6 (and @t342 (forall @t164 (=> @t320 (not (tptp.c_member @t65 @t144 @t341))))))))))) % 64.01/64.41 (assume @p187 (forall (@list @t65 @t103 @t66 @t29) (=> (forall @t6 (=> @t343 (tptp.c_Wellfounded_Owf @t66 (tptp.hAPP @t103 @t3)))) (tptp.c_Wellfounded_Owf @t73 @t105)))) % 64.01/64.41 (assume @p188 (forall @t280 (=> @t344 (tptp.c_Wellfounded_OwfP @t65 (tptp.c_FunDef_Oin__rel @t65 @t65 @t103))))) % 64.01/64.41 (assume @p189 (forall @t131 (=> @t333 @t328))) % 64.01/64.41 (assume @p190 (forall (@list @t2 @t87 @t88 @t65) (= (tptp.c_member @t129 @t150 @t336) @t345))) % 64.01/64.41 (assume @p191 (forall @t311 (= @t335 (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t65 tptp.c_Wellfounded_Oless__than)))) % 64.01/64.41 (assume @p192 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 64.01/64.41 (assume @p193 (forall @t347 (= (tptp.c_member @t346 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t88 @t87) tptp.c_Wellfounded_Oless__than) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t88 @t87)))) % 64.01/64.41 (assume @p194 (forall @t350 (=> @t345 @t349))) % 64.01/64.41 (assume @p195 (= tptp.c_Wellfounded_Oless__than @t351)) % 64.01/64.41 (assume @p196 (forall @t131 (=> @t352 (=> @t295 @t334)))) % 64.01/64.41 (assume @p197 (forall @t131 (=> @t328 (tptp.c_Wellfounded_Owf @t353 (tptp.c_Wellfounded_Omin__ext @t65 @t64))))) % 64.01/64.41 (assume @p198 (forall (@list @t29 @t355 @t354) (=> (=> @t359 @t356) (=> (=> @t358 @t356) (=> (=> @t357 @t356) @t356))))) % 64.01/64.41 (assume @p199 (forall @t160 (=> @t360 (tptp.c_Finite__Set_Ofinite @t65 @t152)))) % 64.01/64.41 (assume @p200 (forall @t160 (=> @t360 (tptp.c_Finite__Set_Ofinite @t66 @t147)))) % 64.01/64.41 (assume @p201 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 64.01/64.41 (assume @p202 (forall @t131 (= (tptp.c_Finite__Set_Ofinite @t129 @t271) @t352))) % 64.01/64.41 (assume @p203 (forall @t160 (= (tptp.c_Finite__Set_Ofinite @t73 @t71) (tptp.c_Finite__Set_Ofinite @t68 @t64)))) % 64.01/64.41 (assume @p204 (forall @t131 (=> @t352 (= @t328 @t295)))) % 64.01/64.41 (assume @p205 (forall @t131 (=> @t352 (=> @t295 @t328)))) % 64.01/64.41 (assume @p206 (forall @t362 (= (tptp.c_member @t346 @t361 @t351) @t359))) % 64.01/64.41 (assume @p207 (forall (@list @t2 @t103 @t65) (=> @t344 (tptp.c_Wellfounded_Owf @t65 @t348)))) % 64.01/64.41 (assume @p208 (forall @t364 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t363 @t363)))) % 64.01/64.41 (assume @p209 (forall @t362 (= @t365 (or @t359 @t357)))) % 64.01/64.41 (assume @p210 (forall @t371 (=> @t370 (=> (not @t368) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t366))))) % 64.01/64.41 (assume @p211 (forall (@list @t372 @t363) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t363 @t372) @t374))) % 64.01/64.41 (assume @p212 (forall (@list @t375 @t376) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t376 @t375) (not (= @t376 @t375))))) % 64.01/64.41 (assume @p213 (forall (@list @t31 @t81 @t65) (=> @t378 @t377))) % 64.01/64.41 (assume @p214 (forall @t131 (= (tptp.c_Nitpick_Owf_H @t65 @t64) (and @t295 (or @t352 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 64.01/64.41 (assume @p215 (forall @t313 (= @t377 @t378))) % 64.01/64.41 (assume @p216 (forall @t311 (tptp.c_Wellfounded_Owf @t353 @t379))) % 64.01/64.41 (assume @p217 (forall @t131 (=> @t328 (tptp.c_Wellfounded_Owf @t353 (tptp.c_Wellfounded_Omax__ext @t65 @t64))))) % 64.01/64.41 (assume @p218 (forall @t157 (=> (tptp.class_Finite__Set_Ofinite @t65) @t378))) % 64.01/64.41 (assume @p219 (forall @t385 (=> @t384 (=> @t378 @t383)))) % 64.01/64.41 (assume @p220 (forall @t385 (=> @t384 (=> @t378 (=> @t114 (= @t381 @t380)))))) % 64.01/64.41 (assume @p221 (forall @t385 (=> @t386 (=> @t378 (=> @t315 @t383))))) % 64.01/64.41 (assume @p222 (forall @t392 (=> @t391 (=> @t390 (=> (not @t389) @t388))))) % 64.01/64.41 (assume @p223 (forall (@list @t202 @t1 @t393 @t2 @t123 @t122 @t121 @t100 @t394 @t66 @t65) (=> (tptp.c_Finite__Set_Ofolding @t65 @t66 @t394 @t100) (= (tptp.c_Fun_Ocomp @t121 @t122 @t123 @t2 (tptp.c_Fun_Ocomp @t393 @t121 @t123 @t1 @t202)) (tptp.c_Fun_Ocomp @t393 @t122 @t123 (tptp.c_Fun_Ocomp @t121 @t122 @t393 @t2 @t1) @t202))))) % 64.01/64.41 (assume @p224 (forall (@list @t88 @t87 @t100 @t2 @t66 @t65) (=> @t386 (= (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t172 @t173) (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t173 @t172))))) % 64.01/64.41 (assume @p225 (forall (@list @t1 @t88 @t87 @t123 @t100 @t2 @t66 @t65) (=> @t386 (= (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t172 @t395) (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t173 (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t172 @t1)))))) % 64.01/64.41 (assume @p226 (forall (@list @t88 @t100 @t2 @t66 @t65) (=> @t384 (= (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t173 @t173) @t173)))) % 64.01/64.41 (assume @p227 (forall (@list @t1 @t88 @t123 @t100 @t2 @t66 @t65) (=> @t384 (= (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t173 @t395) @t395)))) % 64.01/64.41 (assume @p228 (forall (@list @t1 @t123 @t78 @t81 @t100 @t2 @t66 @t65) (=> @t386 (=> @t378 (=> @t398 (= (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t396 @t397) (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t380 (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t396 @t1)))))))) % 64.01/64.41 (assume @p229 (forall @t400 (=> @t386 (=> @t378 (=> @t398 (= (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t396 @t380) @t399)))))) % 64.01/64.41 (assume @p230 (forall (@list @t1 @t88 @t123 @t81 @t100 @t2 @t66 @t65) (=> @t386 (=> @t378 (= (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t173 @t397) (tptp.c_Fun_Ocomp @t66 @t66 @t123 @t380 @t395)))))) % 64.01/64.41 (assume @p231 (forall @t385 (=> @t386 (=> @t378 (= (tptp.c_Fun_Ocomp @t66 @t66 @t66 @t173 @t380) @t381))))) % 64.01/64.41 (assume @p232 (forall @t406 (=> @t405 @t404))) % 64.01/64.41 (assume @p233 (forall @t392 (=> @t407 (=> @t390 @t388)))) % 64.01/64.41 (assume @p234 (forall @t392 (=> @t407 (=> @t390 (=> @t389 (= @t387 @t380)))))) % 64.01/64.41 (assume @p235 (forall @t406 (=> @t405 @t408))) % 64.01/64.41 (assume @p236 (tptp.c_Wellfounded_Owf @t346 tptp.c_FunDef_Opair__less)) % 64.01/64.41 (assume @p237 (forall (@list @t88 @t100 @t1 @t91 @t2 @t66 @t65) (=> @t407 (= (tptp.hAPP @t173 @t88) @t88)))) % 64.01/64.41 (assume @p238 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 64.01/64.41 (assume @p239 (forall (@list @t410 @t88 @t409 @t87) (=> (tptp.c_member @t346 @t87 @t409) (=> @t415 (=> (tptp.c_member @t412 @t413 tptp.c_FunDef_Omax__weak) (tptp.c_member @t412 (tptp.c_Product__Type_OPair @t411 @t411 (tptp.c_Set_Oinsert @t346 @t88 @t410) @t409) tptp.c_FunDef_Omax__weak)))))) % 64.01/64.41 (assume @p240 (forall @t418 (=> @t417 (=> @t415 (=> (tptp.c_member @t412 @t413 tptp.c_FunDef_Omin__weak) (tptp.c_member @t412 @t416 tptp.c_FunDef_Omin__weak)))))) % 64.01/64.41 (assume @p241 (forall (@list @t420 @t88 @t419 @t87) (=> (tptp.c_member @t346 @t87 @t419) (=> @t421 (=> (tptp.c_member @t412 (tptp.c_Product__Type_OPair @t411 @t411 @t420 @t419) tptp.c_FunDef_Omax__strict) (tptp.c_member @t412 (tptp.c_Product__Type_OPair @t411 @t411 (tptp.c_Set_Oinsert @t346 @t88 @t420) @t419) tptp.c_FunDef_Omax__strict)))))) % 64.01/64.41 (assume @p242 (forall @t418 (=> @t417 (=> @t421 (=> (tptp.c_member @t412 @t413 tptp.c_FunDef_Omin__strict) (tptp.c_member @t412 @t416 tptp.c_FunDef_Omin__strict)))))) % 64.01/64.41 (assume @p243 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t346 tptp.c_FunDef_Opair__less))) % 64.01/64.41 (assume @p244 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t346 tptp.c_FunDef_Opair__less))) % 64.01/64.41 (assume @p245 (tptp.c_FunDef_Oreduction__pair @t411 (tptp.c_Product__Type_OPair @t422 @t422 tptp.c_FunDef_Omin__strict tptp.c_FunDef_Omin__weak))) % 64.01/64.41 (assume @p246 (tptp.c_FunDef_Oreduction__pair @t411 (tptp.c_Product__Type_OPair @t422 @t422 tptp.c_FunDef_Omax__strict tptp.c_FunDef_Omax__weak))) % 64.01/64.41 (assume @p247 (forall @t406 (=> @t423 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t401) @t408)))) % 64.01/64.41 (assume @p248 (forall @t406 (=> @t423 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t401) @t404)))) % 64.01/64.41 (assume @p249 (forall @t426 (=> (or @t425 @t373) @t424))) % 64.01/64.41 (assume @p250 (forall @t426 (=> @t424 (=> @t374 @t425)))) % 64.01/64.41 (assume @p251 (forall @t426 (=> @t425 @t424))) % 64.01/64.41 (assume @p252 (forall @t362 (= @t427 (or @t359 @t358)))) % 64.01/64.41 (assume @p253 (forall @t362 (= @t359 (and @t427 @t365)))) % 64.01/64.41 (assume @p254 (forall @t364 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t363 @t363))) % 64.01/64.41 (assume @p255 (forall @t426 (or @t424 @t428))) % 64.01/64.41 (assume @p256 (forall @t426 (=> @t373 @t424))) % 64.01/64.41 (assume @p257 (forall (@list @t429 @t431 @t430) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t431) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t429) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t429))))) % 64.01/64.41 (assume @p258 (forall @t426 (=> @t424 (=> @t428 @t373)))) % 64.01/64.41 (assume @p259 (forall @t371 (=> @t368 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t367)))) % 64.01/64.41 (assume @p260 (forall @t350 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t172) (=> (tptp.c_member @t129 @t150 @t103) @t349)))) % 64.01/64.41 (assume @p261 (forall @t362 (= (tptp.c_member @t346 @t361 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) @t427))) % 64.01/64.41 (assume @p262 (forall @t433 (=> @t432 (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t366 @t366)))) % 64.01/64.41 (assume @p263 (forall @t438 (=> @t437 (= @t436 @t434)))) % 64.01/64.41 (assume @p264 (forall @t438 (=> @t437 (= (not @t440) @t439)))) % 64.01/64.41 (assume @p265 (forall @t443 (=> @t437 (or @t442 @t441)))) % 64.01/64.41 (assume @p266 (forall @t446 (=> @t445 @t444))) % 64.01/64.41 (assume @p267 (forall @t447 (=> @t445 (=> @t114 @t115)))) % 64.01/64.41 (assume @p268 (forall @t316 (=> @t114 (=> @t445 @t115)))) % 64.01/64.41 (assume @p269 (forall @t449 (=> @t328 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t205 @t64) (tptp.c_Wellfounded_Owf @t65 @t205))))) % 64.01/64.41 (assume @p270 (forall (@list @t31 @t78 @t65) (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t78 @t317))) % 64.01/64.41 (assume @p271 (forall (@list @t30 @t78 @t81 @t65) (=> @t445 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t303)))) % 64.01/64.41 (assume @p272 (forall (@list @t31 @t450 @t451 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t451 @t450) (tptp.c_Orderings_Oord__class_Oless__eq @t353 (tptp.c_Set_Oinsert @t65 @t31 @t451) (tptp.c_Set_Oinsert @t65 @t31 @t450))))) % 64.01/64.41 (assume @p273 (forall @t453 (=> @t452 (=> (tptp.c_Relation_Oantisym @t65 @t141) @t318)))) % 64.01/64.41 (assume @p274 (forall (@list @t64 @t141 @t65) (=> (tptp.c_Wellfounded_Oacyclic @t65 @t141) (=> @t452 @t295)))) % 64.01/64.41 (assume @p275 (forall @t456 (=> @t455 (=> (tptp.c_Relation_Osingle__valued @t65 @t66 @t141) @t270)))) % 64.01/64.41 (assume @p276 (forall @t449 (=> (tptp.c_Wellfounded_OwfP @t65 @t64) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t65 @t353) @t205 @t64) (tptp.c_Wellfounded_OwfP @t65 @t205))))) % 64.01/64.41 (assume @p277 (forall @t456 (=> @t455 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t152 (tptp.c_Relation_ODomain @t65 @t66 @t141))))) % 64.01/64.41 (assume @p278 (forall (@list @t458 @t457 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t457 @t458) (tptp.c_Orderings_Oord__class_Oless__eq @t353 (tptp.c_Wellfounded_Oacc @t65 @t458) (tptp.c_Wellfounded_Oacc @t65 @t457))))) % 64.01/64.41 (assume @p279 (forall @t453 (=> @t452 @t460))) % 64.01/64.41 (assume @p280 (forall @t463 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t103 @t461) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t461 @t208) (= @t462 @t208))))) % 64.01/64.41 (assume @p281 (forall @t453 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t64 @t459) @t460))) % 64.01/64.41 (assume @p282 (forall @t464 (=> @t445 (=> @t398 @t378)))) % 64.01/64.41 (assume @p283 (forall @t465 (=> @t398 (=> @t445 @t378)))) % 64.01/64.41 (assume @p284 (forall @t446 (=> @t466 @t444))) % 64.01/64.41 (assume @p285 (forall @t316 (= (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t310 @t78) (and @t115 @t445)))) % 64.01/64.41 (assume @p286 (forall @t316 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t314) @t445)))) % 64.01/64.41 (assume @p287 (forall (@list @t141 @t64 @t205 @t65) (=> @t278 (=> @t452 (tptp.c_member @t129 @t205 (tptp.c_Transitive__Closure_Otrancl @t65 @t141)))))) % 64.01/64.41 (assume @p288 (forall @t468 (=> @t407 (=> @t390 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t467 @t78 @t81) (= (tptp.hAPP (tptp.hAPP @t2 @t396) @t380) @t380)))))) % 64.01/64.41 (assume @p289 (forall @t472 (=> @t471 (= @t470 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t66 @t5 @t4)))))) % 64.01/64.41 (assume @p290 (forall @t443 (=> @t437 (or @t442 @t473)))) % 64.01/64.41 (assume @p291 (forall @t438 (=> @t474 (= @t94 (and @t440 @t434))))) % 64.01/64.41 (assume @p292 (forall @t443 (=> @t432 (=> @t369 @t442)))) % 64.01/64.41 (assume @p293 (forall (@list @t88 @t1 @t2 @t65 @t66) (=> @t471 (=> @t470 (tptp.c_Orderings_Oord__class_Oless__eq @t66 @t173 @t125))))) % 64.01/64.41 (assume @p294 (forall @t476 (=> @t474 (=> @t434 @t475)))) % 64.01/64.41 (assume @p295 (forall @t481 (=> @t480 (=> @t479 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t323 @t477) @t478))))) % 64.01/64.41 (assume @p296 (forall @t481 (=> @t474 (=> @t479 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t477 @t323) @t482))))) % 64.01/64.41 (assume @p297 (forall @t481 (=> @t480 (=> @t484 (=> @t483 @t478))))) % 64.01/64.41 (assume @p298 (forall @t486 (=> @t474 (=> @t485 (=> @t483 @t482))))) % 64.01/64.41 (assume @p299 (forall @t443 (=> @t474 (=> @t442 (=> @t473 @t369))))) % 64.01/64.41 (assume @p300 (forall @t489 (=> @t432 (=> @t442 (=> @t488 (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t366 @t487)))))) % 64.01/64.41 (assume @p301 (forall @t490 (=> @t474 (=> @t473 (=> @t442 @t369))))) % 64.01/64.41 (assume @p302 (forall @t492 (=> @t474 (=> @t473 (=> @t491 (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t487 @t366)))))) % 64.01/64.41 (assume @p303 (forall @t443 (=> @t437 (=> (not @t442) @t473)))) % 64.01/64.41 (assume @p304 (forall @t433 (=> @t432 (not (tptp.c_Orderings_Oord__class_Oless @t65 @t366 @t366))))) % 64.01/64.41 (assume @p305 (forall @t438 (=> @t437 (= @t95 (or @t435 @t439))))) % 64.01/64.41 (assume @p306 (forall @t438 (=> @t437 (= @t436 (or @t439 @t94))))) % 64.01/64.41 (assume @p307 (forall @t443 (=> @t437 (or @t493 @t369 @t441)))) % 64.01/64.41 (assume @p308 (forall @t476 (=> @t437 (=> (not @t439) @t494)))) % 64.01/64.41 (assume @p309 (forall @t443 (=> @t437 (=> @t370 (=> @t495 @t441))))) % 64.01/64.41 (assume @p310 (forall @t443 (=> @t474 (=> @t493 @t370)))) % 64.01/64.41 (assume @p311 (forall @t443 (=> @t432 (=> @t493 (not @t441))))) % 64.01/64.41 (assume @p312 (forall @t443 (=> @t474 (=> @t493 (not (= @t367 @t366)))))) % 64.01/64.41 (assume @p313 (forall @t498 (=> @t432 (=> @t497 (not @t496))))) % 64.01/64.41 (assume @p314 (forall @t499 (=> @t474 (=> @t496 (not @t497))))) % 64.01/64.41 (assume @p315 (forall @t481 (=> @t480 (=> @t479 (=> (tptp.c_Orderings_Oord__class_Oless @t65 @t323 @t477) @t500))))) % 64.01/64.41 (assume @p316 (forall @t481 (=> @t474 (=> @t479 (=> (tptp.c_Orderings_Oord__class_Oless @t65 @t477 @t323) @t501))))) % 64.01/64.41 (assume @p317 (forall @t481 (=> @t480 (=> @t497 (=> @t483 @t500))))) % 64.01/64.41 (assume @p318 (forall @t486 (=> @t474 (=> @t496 (=> @t483 @t501))))) % 64.01/64.41 (assume @p319 (forall @t489 (=> @t432 (=> @t493 @t503)))) % 64.01/64.41 (assume @p320 (forall @t492 (=> @t474 (=> @t441 @t505)))) % 64.01/64.41 (assume @p321 (forall @t443 (=> @t437 (=> @t495 (=> @t370 @t441))))) % 64.01/64.41 (assume @p322 (forall @t400 (=> @t384 (=> @t378 (=> @t506 (= @t399 @t380)))))) % 64.01/64.41 (assume @p323 (forall @t464 (= (tptp.c_member @t508 @t507 @t379) (and @t466 @t398)))) % 64.01/64.41 (assume @p324 (forall @t492 (=> @t474 (=> @t473 @t505)))) % 64.01/64.41 (assume @p325 (forall @t489 (=> @t432 (=> @t442 @t503)))) % 64.01/64.41 (assume @p326 (forall @t492 (=> @t474 (=> @t441 (=> @t491 @t504))))) % 64.01/64.41 (assume @p327 (forall @t489 (=> @t432 (=> @t493 (=> @t488 @t502))))) % 64.01/64.41 (assume @p328 (forall @t499 (=> @t474 (=> @t485 (=> @t509 @t496))))) % 64.01/64.41 (assume @p329 (forall @t498 (=> @t474 (=> @t484 (=> @t509 @t497))))) % 64.01/64.41 (assume @p330 (forall @t443 (=> @t474 (=> @t442 (or @t493 @t369))))) % 64.01/64.41 (assume @p331 (forall @t438 (=> @t437 (=> @t440 @t494)))) % 64.01/64.41 (assume @p332 (forall @t443 (=> @t432 (=> @t493 @t442)))) % 64.01/64.41 (assume @p333 (forall @t490 (=> @t437 (=> @t473 @t495)))) % 64.01/64.41 (assume @p334 (forall @t498 (=> @t474 (=> @t509 (=> @t485 @t496))))) % 64.01/64.41 (assume @p335 (forall @t498 (=> @t474 (=> @t509 (=> @t484 @t497))))) % 64.01/64.41 (assume @p336 (forall @t438 (=> @t437 (=> @t436 @t475)))) % 64.01/64.41 (assume @p337 (forall @t490 (=> @t437 (=> (not @t473) @t493)))) % 64.01/64.41 (assume @p338 (forall @t443 (=> @t437 (=> @t495 @t473)))) % 64.01/64.41 (assume @p339 (forall @t438 (=> @t474 (= @t440 (or @t435 @t94))))) % 64.01/64.41 (assume @p340 (forall @t438 (=> @t432 (= @t435 (and @t440 (not @t434)))))) % 64.01/64.41 (assume @p341 (forall @t438 (=> @t474 (= @t435 (and @t440 @t95))))) % 64.01/64.41 (assume @p342 (forall (@list @t2 @t66 @t29 @t65) (=> (tptp.c_FunDef_Oreduction__pair @t65 @t29) (tptp.c_FunDef_Oreduction__pair @t66 (tptp.c_FunDef_Orp__inv__image @t65 @t66 @t29 @t2))))) % 64.01/64.41 (assume @p343 (forall @t463 (=> @t344 (=> @t510 (tptp.c_FunDef_Oreduction__pair @t65 (tptp.c_Product__Type_OPair @t448 @t448 @t103 @t461)))))) % 64.01/64.41 (assume @p344 (forall @t513 (tptp.c_member @t412 @t512 tptp.c_FunDef_Omin__weak))) % 64.01/64.41 (assume @p345 (forall @t513 (=> (not (= @t420 @t511)) (tptp.c_member @t412 @t512 tptp.c_FunDef_Omin__strict)))) % 64.01/64.41 (assume @p346 (forall @t464 (=> @t445 (=> @t506 @t85)))) % 64.01/64.41 (assume @p347 (forall @t300 (not (tptp.c_member @t65 @t31 @t514)))) % 64.01/64.41 (assume @p348 (forall @t311 (tptp.c_Finite__Set_Ofinite @t65 @t514))) % 64.01/64.41 (assume @p349 (forall @t157 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t514 @t81))) % 64.01/64.41 (assume @p350 (forall @t311 (tptp.c_Wellfounded_Owf @t65 @t515))) % 64.01/64.41 (assume @p351 (forall (@list @t141 @t79 @t123 @t64 @t30 @t31 @t66 @t65) (=> @t77 (=> (tptp.c_member @t518 (tptp.c_Product__Type_OPair @t66 @t123 @t30 @t79) @t141) (tptp.c_member @t517 (tptp.c_Product__Type_OPair @t65 @t123 @t31 @t79) @t516))))) % 64.01/64.41 (assume @p352 (forall (@list @t88 @t81 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t519) (or @t520 (= @t81 @t519))))) % 64.01/64.41 (assume @p353 (forall @t157 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t81))) % 64.01/64.41 (assume @p354 (forall @t157 (= (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t514) @t520))) % 64.01/64.41 (assume @p355 (forall @t521 (= @t85 (and @t445 @t506)))) % 64.01/64.41 (assume @p356 (forall (@list @t78 @t65 @t81) (=> (= @t81 @t515) (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t81 @t78)))) % 64.01/64.41 (assume @p357 (forall @t521 (=> @t85 @t445))) % 64.01/64.41 (assume @p358 (forall @t521 (=> @t85 @t506))) % 64.01/64.41 (assume @p359 (forall @t524 (=> @t445 (=> @t523 @t522)))) % 64.01/64.41 (assume @p360 (forall (@list @t141 @t525 @t123 @t64 @t526 @t66 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t454 @t526 @t64) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t518 tptp.tc_HOL_Obool) @t525 @t141) (tptp.c_Orderings_Oord__class_Oless__eq @t527 (tptp.c_Relation_Orel__comp @t65 @t66 @t123 @t526 @t525) @t516))))) % 64.01/64.41 (assume @p361 (forall @t521 (=> @t85 (not (=> @t445 (not @t506)))))) % 64.01/64.41 (assume @p362 (forall @t433 (=> @t529 (tptp.c_Orderings_Oord__class_Oless__eq @t65 @t528 @t366)))) % 64.01/64.41 (assume @p363 (forall @t472 (=> @t471 (= (tptp.c_Orderings_Oord__class_Oless @t469 @t2 @t1) (and @t470 (not (tptp.c_Orderings_Oord__class_Oless__eq @t469 @t1 @t2))))))) % 64.01/64.41 (assume @p364 (forall @t524 (=> @t445 @t531))) % 64.01/64.41 (assume @p365 (forall @t524 (=> @t466 (=> @t523 @t530)))) % 64.01/64.41 (assume @p366 (forall @t464 (=> @t466 @t445))) % 64.01/64.41 (assume @p367 (forall @t464 (= @t445 (or @t466 @t85)))) % 64.01/64.41 (assume @p368 (forall @t464 (= @t466 (and @t445 (not @t85))))) % 64.01/64.41 (assume @p369 (forall @t280 (= (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t208 @t208) @t208))) % 64.01/64.41 (assume @p370 (forall @t131 (= @t533 @t532))) % 64.01/64.41 (assume @p371 (forall @t157 (not (tptp.c_Orderings_Oord__class_Oless @t353 @t81 @t514)))) % 64.01/64.41 (assume @p372 (forall @t524 (=> @t466 @t531))) % 64.01/64.41 (assume @p373 (forall (@list @t88 @t66 @t65) (=> @t529 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t534) @t88) @t528)))) % 64.01/64.41 (assume @p374 (forall @t131 (tptp.c_Relation_Ototal__on @t65 @t514 @t64))) % 64.01/64.41 (assume @p375 (forall @t157 (= (forall @t6 (not @t154)) @t520))) % 64.01/64.41 (assume @p376 (forall @t157 (= (exists @t6 @t154) @t535))) % 64.01/64.41 (assume @p377 (forall (@list @t79 @t65) (not (tptp.c_member @t65 @t79 @t514)))) % 64.01/64.41 (assume @p378 (forall (@list @t31 @t65 @t81) (=> @t520 (not @t111)))) % 64.01/64.41 (assume @p379 (forall @t280 (= @t344 (tptp.c_Wellfounded_Owf @t65 @t536)))) % 64.01/64.41 (assume @p380 (forall @t313 (not (= @t514 @t312)))) % 64.01/64.41 (assume @p381 (forall @t313 (not (= @t312 @t514)))) % 64.01/64.41 (assume @p382 (forall (@list @t198 @t79 @t30 @t31 @t65) (= (= (tptp.c_Set_Oinsert @t65 @t31 @t537) (tptp.c_Set_Oinsert @t65 @t79 (tptp.c_Set_Oinsert @t65 @t198 @t514))) (or (and (= @t31 @t79) (= @t30 @t198)) (and (= @t31 @t198) (= @t30 @t79)))))) % 64.01/64.41 (assume @p383 (forall @t319 (=> (= @t538 @t537) @t49))) % 64.01/64.41 (assume @p384 (forall @t280 (=> (= @t536 @t515) @t344))) % 64.01/64.41 (assume @p385 (forall (@list @t141 @t123 @t64 @t66 @t65) (=> @t270 (=> (tptp.c_Relation_Osingle__valued @t66 @t123 @t141) (tptp.c_Relation_Osingle__valued @t65 @t123 @t516))))) % 64.01/64.41 (assume @p386 (forall @t539 (= (tptp.c_Relation_Orel__comp @t65 @t66 @t66 @t103 (tptp.c_Relation_OId @t66)) @t103))) % 64.01/64.41 (assume @p387 (forall @t539 (= (tptp.c_Relation_Orel__comp @t65 @t65 @t66 @t299 @t103) @t103))) % 64.01/64.41 (assume @p388 (forall @t311 (= (tptp.c_Relation_OId__on @t65 @t514) @t515))) % 64.01/64.41 (assume @p389 (forall @t541 (= (tptp.c_Relation_Orel__comp @t65 @t123 @t66 (tptp.c_Orderings_Obot__class_Obot @t527) @t103) @t540))) % 64.01/64.41 (assume @p390 (forall @t541 (= (tptp.c_Relation_Orel__comp @t65 @t123 @t66 @t103 (tptp.c_Orderings_Obot__class_Obot @t542)) @t540))) % 64.01/64.41 (assume @p391 (forall (@list @t543 @t461 @t103 @t122 @t66 @t123 @t65) (= (tptp.c_Relation_Orel__comp @t65 @t123 @t66 (tptp.c_Relation_Orel__comp @t65 @t122 @t123 @t103 @t461) @t543) (tptp.c_Relation_Orel__comp @t65 @t122 @t66 @t103 (tptp.c_Relation_Orel__comp @t122 @t123 @t66 @t461 @t543))))) % 64.01/64.41 (assume @p392 (forall @t311 (tptp.c_Relation_Orefl__on @t65 @t514 @t515))) % 64.01/64.41 (assume @p393 (forall @t127 (= (= @t159 @t514) (= @t64 @t545)))) % 64.01/64.41 (assume @p394 (forall (@list @t65 @t66) (= (tptp.c_Relation_ORange @t66 @t65 @t545) @t514))) % 64.01/64.41 (assume @p395 (forall @t160 (= (= @t152 @t514) (= @t64 @t540)))) % 64.01/64.41 (assume @p396 (forall (@list @t66 @t65) (= (tptp.c_Relation_ODomain @t65 @t66 @t540) @t514))) % 64.01/64.41 (assume @p397 (forall @t311 (= (tptp.c_Transitive__Closure_Otrancl @t65 @t515) @t515))) % 64.01/64.41 (assume @p398 (forall (@list @t141 @t64 @t123 @t65 @t66) (= (tptp.hAPP @t70 (tptp.c_Relation_Orel__comp @t66 @t123 @t65 @t64 @t141)) (tptp.c_Relation_Orel__comp @t65 @t123 @t66 (tptp.hAPP (tptp.c_Relation_Oconverse @t123 @t65) @t141) (tptp.hAPP (tptp.c_Relation_Oconverse @t66 @t123) @t64))))) % 64.01/64.41 (assume @p399 (forall @t311 (tptp.c_Relation_Oantisym @t65 @t515))) % 64.01/64.41 (assume @p400 (forall (@list @t100 @t1 @t91 @t2 @t66 @t65) (=> @t391 (= (tptp.hAPP @t100 (tptp.c_Orderings_Obot__class_Obot @t467)) @t91)))) % 64.01/64.41 (assume @p401 (forall @t548 (=> @t547 @t546))) % 64.01/64.41 (assume @p402 (forall @t548 (= @t547 @t546))) % 64.01/64.41 (assume @p403 (forall @t131 (= @t271 @t533))) % 64.01/64.41 (assume @p404 (forall @t131 (= @t271 @t532))) % 64.01/64.41 (assume @p405 (forall @t311 (= (tptp.c_Transitive__Closure_Ortrancl @t65 @t515) @t299))) % 64.01/64.41 (assume @p406 (forall @t513 (=> (tptp.c_Finite__Set_Ofinite @t346 @t420) (tptp.c_member @t412 (tptp.c_Product__Type_OPair @t411 @t411 @t511 @t420) tptp.c_FunDef_Omax__weak)))) % 64.01/64.41 (assume @p407 (forall (@list @t419) (=> (tptp.c_Finite__Set_Ofinite @t346 @t419) (=> (not (= @t419 @t511)) (tptp.c_member @t412 (tptp.c_Product__Type_OPair @t411 @t411 @t511 @t419) tptp.c_FunDef_Omax__strict))))) % 64.01/64.41 (assume @p408 (forall @t156 (=> @t175 (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t64 (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t162 @t64))))) % 64.01/64.41 (assume @p409 (forall (@list @t88 @t65) (= (tptp.c_Set_Othe__elem @t65 @t519) @t88))) % 64.01/64.41 (assume @p410 (= tptp.c_FunDef_Omax__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t422 (tptp.c_Wellfounded_Omax__ext @t346 tptp.c_FunDef_Opair__leq) @t549))) % 64.01/64.41 (assume @p411 (= tptp.c_FunDef_Omin__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t422 (tptp.c_Wellfounded_Omin__ext @t346 tptp.c_FunDef_Opair__leq) @t549))) % 64.01/64.41 (assume @p412 (forall @t552 (=> @t551 @t83))) % 64.01/64.41 (assume @p413 (forall @t553 (=> (=> @t84 @t82) @t551))) % 64.01/64.41 (assume @p414 (forall @t313 (= @t312 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t538 @t81)))) % 64.01/64.41 (assume @p415 (forall (@list @t78 @t65) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t514 @t78) @t78))) % 64.01/64.41 (assume @p416 (forall @t157 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t514) @t81))) % 64.01/64.41 (assume @p417 (forall @t464 (= (= @t550 @t514) (and @t520 (= @t78 @t514))))) % 64.01/64.41 (assume @p418 (forall @t558 (= @t557 (and @t556 @t555)))) % 64.01/64.41 (assume @p419 (forall @t558 (=> @t556 (=> @t555 @t557)))) % 64.01/64.41 (assume @p420 (forall @t463 (= @t560 (tptp.c_Wellfounded_Owf @t65 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t536 (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t461 @t103)) @t461))))) % 64.01/64.41 (assume @p421 (forall @t131 (= @t271 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t64 (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t271 @t64))))) % 64.01/64.41 (assume @p422 (forall @t562 (=> @t561 (=> (= (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t78 @t451) @t515) (= (tptp.c_Relation_Orel__comp @t65 @t65 @t65 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t81 @t78) @t451) @t515))))) % 64.01/64.41 (assume @p423 (forall @t524 (=> (= (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t81 @t78) @t515) (=> @t561 (= (tptp.c_Relation_Orel__comp @t65 @t65 @t65 @t81 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t78 @t451)) @t515))))) % 64.01/64.41 (assume @p424 (forall @t280 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t208 @t299) @t208))) % 64.01/64.41 (assume @p425 (forall @t280 (= (tptp.c_Transitive__Closure_Ortrancl @t65 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t103 @t299)) @t208))) % 64.01/64.41 (assume @p426 (forall @t131 (= (tptp.c_Relation_Oantisym @t65 @t563) @t318))) % 64.01/64.41 (assume @p427 (forall @t468 (=> @t407 (=> @t390 (=> (tptp.c_Finite__Set_Ofinite @t66 @t78) (= (tptp.hAPP @t100 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t467 @t81 @t78)) (tptp.hAPP (tptp.hAPP @t2 @t380) @t396))))))) % 64.01/64.41 (assume @p428 (forall @t463 (= (tptp.c_Transitive__Closure_Ortrancl @t65 @t565) @t564))) % 64.01/64.41 (assume @p429 (forall (@list @t78 @t31 @t81 @t65) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t317) (tptp.c_Set_Oinsert @t65 @t31 @t550)))) % 64.01/64.41 (assume @p430 (forall (@list @t451 @t78 @t31 @t65) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t317 @t451) (tptp.c_Set_Oinsert @t65 @t31 @t566)))) % 64.01/64.41 (assume @p431 (forall (@list @t141 @t78 @t64 @t81 @t65) (=> @t175 (=> (tptp.c_Relation_Orefl__on @t65 @t78 @t141) (tptp.c_Relation_Orefl__on @t65 @t550 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t64 @t141)))))) % 64.01/64.41 (assume @p432 (forall (@list @t78 @t81 @t66 @t65) (= (tptp.c_Relation_ODomain @t65 @t66 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t454 @t81 @t78)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 (tptp.c_Relation_ODomain @t65 @t66 @t81) (tptp.c_Relation_ODomain @t65 @t66 @t78))))) % 64.01/64.41 (assume @p433 (forall (@list @t78 @t81 @t65 @t66) (= (tptp.c_Relation_ORange @t66 @t65 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t544 @t81 @t78)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 (tptp.c_Relation_ORange @t66 @t65 @t81) (tptp.c_Relation_ORange @t66 @t65 @t78))))) % 64.01/64.41 (assume @p434 (forall @t157 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t81) @t81))) % 64.01/64.41 (assume @p435 (forall @t464 (= @t550 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t78 @t81)))) % 64.01/64.41 (assume @p436 (forall @t464 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t81 @t550) @t550))) % 64.01/64.41 (assume @p437 (forall @t524 (= @t568 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t78 @t567)))) % 64.01/64.41 (assume @p438 (forall @t524 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t550 @t451) @t568))) % 64.01/64.41 (assume @p439 (forall @t571 (= (exists @t6 (and @t570 @t343)) (or (exists @t6 (and @t154 @t343)) (exists @t6 (and @t569 @t343)))))) % 64.01/64.41 (assume @p440 (forall @t571 (= (forall @t6 (=> @t570 @t343)) (and (forall @t6 (=> @t154 @t343)) (forall @t6 (=> @t569 @t343)))))) % 64.01/64.41 (assume @p441 (forall (@list @t141 @t64 @t65 @t66) (= (tptp.hAPP @t70 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t544 @t64 @t141)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t454 @t71 (tptp.hAPP @t70 @t141))))) % 64.01/64.41 (assume @p442 (forall (@list @t461 @t103 @t88 @t65) (=> (or (tptp.c_member @t129 @t88 @t208) (tptp.c_member @t129 @t88 @t462)) (tptp.c_member @t129 @t88 @t564)))) % 64.01/64.41 (assume @p443 (forall (@list @t103 @t543 @t461 @t66 @t123 @t65) (= (tptp.c_Relation_Orel__comp @t65 @t123 @t66 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t527 @t461 @t543) @t103) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t454 (tptp.c_Relation_Orel__comp @t65 @t123 @t66 @t461 @t103) (tptp.c_Relation_Orel__comp @t65 @t123 @t66 @t543 @t103))))) % 64.01/64.41 (assume @p444 (forall (@list @t543 @t461 @t103 @t66 @t123 @t65) (= (tptp.c_Relation_Orel__comp @t65 @t123 @t66 @t103 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t542 @t461 @t543)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t454 (tptp.c_Relation_Orel__comp @t65 @t123 @t66 @t103 @t461) (tptp.c_Relation_Orel__comp @t65 @t123 @t66 @t103 @t543))))) % 64.01/64.41 (assume @p445 (forall @t553 (=> @t80 @t551))) % 64.01/64.41 (assume @p446 (forall @t552 (=> @t82 @t551))) % 64.01/64.41 (assume @p447 (forall @t552 (= @t551 (or @t82 @t80)))) % 64.01/64.41 (assume @p448 (forall @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t565 @t564))) % 64.01/64.41 (assume @p449 (forall (@list @t450 @t78 @t451 @t81 @t65) (=> @t522 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t78 @t450) (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t550 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t451 @t450)))))) % 64.01/64.41 (assume @p450 (forall @t562 (=> @t522 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t550 @t451))))) % 64.01/64.41 (assume @p451 (forall @t465 (=> @t506 (= @t550 @t81)))) % 64.01/64.41 (assume @p452 (forall @t464 (=> @t445 @t572))) % 64.01/64.41 (assume @p453 (forall @t464 (= @t445 @t572))) % 64.01/64.41 (assume @p454 (forall @t465 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t78 @t550))) % 64.01/64.41 (assume @p455 (forall @t464 (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t81 @t550))) % 64.01/64.41 (assume @p456 (forall @t463 (=> @t344 (=> (tptp.c_Wellfounded_Owf @t65 @t461) (=> @t510 @t560))))) % 64.01/64.41 (assume @p457 (forall @t131 (= (tptp.c_Transitive__Closure_Otrancl @t65 @t563) @t193))) % 64.01/64.41 (assume @p458 (forall @t131 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t271 @t299) @t193))) % 64.01/64.41 (assume @p459 (forall @t131 (= @t193 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448 @t299 @t532)))) % 64.01/64.41 (assume @p460 (forall @t400 (=> @t384 (=> @t378 (=> @t398 (= (tptp.hAPP @t100 @t550) @t399)))))) % 64.01/64.41 (assume @p461 (forall (@list @t450 @t451 @t103 @t78 @t81 @t65) (=> (tptp.c_member @t508 @t507 @t573) (=> (tptp.c_member @t508 (tptp.c_Product__Type_OPair @t353 @t353 @t451 @t450) @t573) (tptp.c_member @t508 (tptp.c_Product__Type_OPair @t353 @t353 @t567 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t353 @t78 @t450)) @t573))))) % 64.01/64.41 (assume @p462 (forall @t463 (=> @t510 (tptp.c_Orderings_Oord__class_Oless__eq @t574 (tptp.c_Relation_Orel__comp @t353 @t353 @t353 @t573 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t574 (tptp.c_Wellfounded_Omax__ext @t65 @t461) @t575)) @t573)))) % 64.01/64.41 (assume @p463 (forall @t463 (=> @t510 (tptp.c_Orderings_Oord__class_Oless__eq @t574 (tptp.c_Relation_Orel__comp @t353 @t353 @t353 @t576 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t574 (tptp.c_Wellfounded_Omin__ext @t65 @t461) @t575)) @t576)))) % 64.01/64.41 (assume @p464 (forall (@list @t65 @t81 @t88 @t78) (=> (=> (not @t578) @t116) @t577))) % 64.01/64.41 (assume @p465 (forall @t447 (=> @t577 (=> (not @t116) @t578)))) % 64.01/64.41 (assume @p466 (= tptp.c_FunDef_Opair__leq (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t403 tptp.tc_HOL_Obool) tptp.c_FunDef_Opair__less (tptp.c_Relation_OId @t346)))) % 64.01/64.41 (assume @p467 (forall @t438 (= (tptp.c_member @t65 @t88 (tptp.c_fequal @t87)) @t94))) % 64.01/64.41 (assume @p468 (forall (@list @t579 @t65 @t88 @t29) (=> @t110 (=> @t582 @t581)))) % 64.01/64.41 (assume @p469 (forall (@list @t88 @t579 @t29 @t65) (=> @t582 (=> @t110 @t581)))) % 64.01/64.41 (assume @p470 (forall (@list @t78 @t65 @t88 @t81) (=> @t116 @t577))) % 64.01/64.41 (assume @p471 (forall (@list @t81 @t65 @t88 @t78) (=> @t578 @t577))) % 64.01/64.41 (assume @p472 (forall (@list @t87 @t88 @t579 @t29 @t66 @t65) (=> @t585 (=> @t584 @t583)))) % 64.01/64.41 (assume @p473 (forall (@list @t579 @t66 @t65 @t87 @t88 @t29) (=> @t584 (=> @t585 @t583)))) % 64.01/64.41 (assume @p474 (forall (@list @t88 @t81 @t100 @t2 @t65) (=> (tptp.c_Finite__Set_Ofolding__one @t65 @t2 @t100) (=> @t378 (=> @t315 (=> @t535 (= @t382 (tptp.hAPP @t173 @t380)))))))) % 64.01/64.41 (assume @p475 (forall (@list @t88 @t1 @t2 @t66 @t65) (=> @t586 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t534 @t2 @t1) @t88) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t173 @t125))))) % 64.01/64.41 (assume @p476 (forall (@list @t325 @t65) (=> @t587 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t325 @t325) @t325)))) % 64.01/64.41 (assume @p477 (forall @t433 (=> @t587 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t366 @t366) @t366)))) % 64.01/64.41 (assume @p478 (forall @t498 (=> @t587 (= @t588 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t323 @t325))))) % 64.01/64.41 (assume @p479 (forall @t443 (=> @t586 @t590))) % 64.01/64.41 (assume @p480 (forall @t443 (=> @t587 @t590))) % 64.01/64.41 (assume @p481 (forall @t498 (=> @t587 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t65 @t325 @t588) @t588)))) % 64.01/64.41 (assume @p482 (forall @t443 (=> @t586 @t591))) % 64.01/64.41 (assume @p483 (forall @t443 (=> @t587 @t591))) % 64.01/64.41 (assume @p484 (forall @t596 (=> @t595 (tptp.class_Lattices_Osemilattice__sup @t594)))) % 64.01/64.41 (assume @p485 (forall @t596 (=> (tptp.class_Orderings_Opreorder @t592) (tptp.class_Orderings_Opreorder @t594)))) % 64.01/64.41 (assume @p486 (forall @t598 (=> @t597 (tptp.class_Finite__Set_Ofinite @t594)))) % 64.01/64.41 (assume @p487 (forall @t596 (=> @t595 (tptp.class_Lattices_Olattice @t594)))) % 64.01/64.41 (assume @p488 (forall @t596 (=> (tptp.class_Orderings_Oorder @t592) (tptp.class_Orderings_Oorder @t594)))) % 64.01/64.41 (assume @p489 (forall @t596 (=> (tptp.class_Orderings_Oord @t592) (tptp.class_Orderings_Oord @t594)))) % 64.01/64.41 (assume @p490 (forall @t596 (=> (tptp.class_Orderings_Obot @t592) (tptp.class_Orderings_Obot @t594)))) % 64.01/64.41 (assume @p491 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p492 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p493 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p494 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p495 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p496 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p497 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 64.01/64.41 (assume @p498 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p500 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 64.01/64.41 (assume @p505 (forall @t598 (=> @t597 (tptp.class_Finite__Set_Ofinite (tptp.tc_prod @t593 @t592))))) % 64.01/64.41 (assume @p506 (forall @t347 (or (not @t599) @t94))) % 64.01/64.41 (assume @p507 (forall @t347 (or @t95 @t599))) % 64.01/64.41 (assume @p508 @t603) % 64.01/64.41 (assume @p509 true) % 64.01/64.41 (step @p510 :rule aci_norm :args ((= (or @t546 @t611) @t610))) % 64.01/64.41 (step @p511 :rule aci_norm :args ((= (or @t609 @t612) @t611))) % 64.01/64.41 (step @p512 :rule aci_norm :args ((= (or @t608 @t613) @t612))) % 64.01/64.41 (step @p513 :rule aci_norm :args ((= (or @t607 @t614) @t613))) % 64.01/64.41 (step @p514 :rule aci_norm :args ((= (or @t606 @t615) @t614))) % 64.01/64.41 (step @p515 :rule aci_norm :args ((= (or @t605 (or @t604 @t34)) @t615))) % 64.01/64.41 (step @p516 :rule bool-impl-elim :args (@t37 @t34)) % 64.01/64.41 (step @p517 :rule refl :args (@t605)) % 64.01/64.41 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t605 @t38))) % 64.01/64.41 (step @p519 :rule trans :premises (@p518 @p515)) % 64.01/64.41 (step @p520 :rule bool-impl-elim :args (@t39 @t38)) % 64.01/64.41 (step @p521 :rule trans :premises (@p520 @p519)) % 64.01/64.41 (step @p522 :rule refl :args (@t606)) % 64.01/64.41 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or @t606 @t40))) % 64.01/64.41 (step @p524 :rule trans :premises (@p523 @p514)) % 64.01/64.41 (step @p525 :rule bool-impl-elim :args (@t41 @t40)) % 64.01/64.41 (step @p526 :rule trans :premises (@p525 @p524)) % 64.01/64.41 (step @p527 :rule refl :args (@t607)) % 64.01/64.41 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or @t607 @t42))) % 64.01/64.41 (step @p529 :rule trans :premises (@p528 @p513)) % 64.01/64.41 (step @p530 :rule refl :args (@t42)) % 64.01/64.41 (step @p531 :rule bool-double-not-elim :args (@t607)) % 64.01/64.41 (step @p532 :rule nary_cong :premises (@p531 @p530) :args ((or @t617 @t42))) % 64.01/64.41 (step @p533 :rule bool-impl-elim :args (@t616 @t42)) % 64.01/64.41 (step @p534 :rule trans :premises (@p533 @p532)) % 64.01/64.41 (step @p535 :rule trans :premises (@p534 @p529)) % 64.01/64.41 (step @p536 :rule refl :args (@t608)) % 64.01/64.41 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or @t608 @t618))) % 64.01/64.41 (step @p538 :rule trans :premises (@p537 @p512)) % 64.01/64.41 (step @p539 :rule refl :args (@t618)) % 64.01/64.41 (step @p540 :rule bool-double-not-elim :args (@t608)) % 64.01/64.41 (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or @t620 @t618))) % 64.01/64.41 (step @p542 :rule bool-impl-elim :args (@t619 @t618)) % 64.01/64.41 (step @p543 :rule trans :premises (@p542 @p541)) % 64.01/64.41 (step @p544 :rule trans :premises (@p543 @p538)) % 64.01/64.41 (step @p545 :rule refl :args (@t609)) % 64.01/64.41 (step @p546 :rule nary_cong :premises (@p545 @p544) :args ((or @t609 @t621))) % 64.01/64.41 (step @p547 :rule trans :premises (@p546 @p511)) % 64.01/64.41 (step @p548 :rule refl :args (@t621)) % 64.01/64.41 (step @p549 :rule bool-double-not-elim :args (@t609)) % 64.01/64.41 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t623 @t621))) % 64.01/64.41 (step @p551 :rule bool-impl-elim :args (@t622 @t621)) % 64.01/64.41 (step @p552 :rule trans :premises (@p551 @p550)) % 64.01/64.41 (step @p553 :rule trans :premises (@p552 @p547)) % 64.01/64.41 (step @p554 :rule refl :args (@t546)) % 64.01/64.41 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t546 @t624))) % 64.01/64.41 (step @p556 :rule trans :premises (@p555 @p510)) % 64.01/64.41 (step @p557 :rule refl :args (@t624)) % 64.01/64.41 (step @p558 :rule bool-double-not-elim :args (@t546)) % 64.01/64.41 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t626 @t624))) % 64.01/64.41 (step @p560 :rule bool-impl-elim :args (@t625 @t624)) % 64.01/64.41 (step @p561 :rule trans :premises (@p560 @p559)) % 64.01/64.41 (step @p562 :rule trans :premises (@p561 @p556)) % 64.01/64.41 (step @p563 :rule cong :premises (@p562) :args ((forall @t52 (=> @t625 @t624)))) % 64.01/64.41 (step @p564 :rule refl :args (@t42)) % 64.01/64.41 (step @p565 :rule eq-symm :args (@t30 @t26)) % 64.01/64.41 (step @p566 :rule cong :premises (@p565) :args (@t43)) % 64.01/64.41 (step @p567 :rule cong :premises (@p566 @p564) :args (@t44)) % 64.01/64.41 (step @p568 :rule eq-symm :args (@t31 @t25)) % 64.01/64.41 (step @p569 :rule cong :premises (@p568) :args (@t45)) % 64.01/64.41 (step @p570 :rule cong :premises (@p569 @p567) :args (@t46)) % 64.01/64.41 (step @p571 :rule eq-symm :args (@t26 @t25)) % 64.01/64.41 (step @p572 :rule cong :premises (@p571) :args (@t47)) % 64.01/64.41 (step @p573 :rule cong :premises (@p572 @p570) :args (@t48)) % 64.01/64.41 (step @p574 :rule eq-symm :args (@t31 @t30)) % 64.01/64.41 (step @p575 :rule cong :premises (@p574) :args (@t50)) % 64.01/64.41 (step @p576 :rule cong :premises (@p575 @p573) :args (@t51)) % 64.01/64.41 (step @p577 :rule cong :premises (@p576) :args (@t53)) % 64.01/64.41 (step @p578 :rule trans :premises (@p577 @p563)) % 64.01/64.41 (step @p579 :rule eq_resolve :premises (@p12 @p578)) % 64.01/64.41 (step @p580 :rule refl :args (@t602)) % 64.01/64.41 (step @p581 :rule eq-symm :args (@t21 @t15)) % 64.01/64.41 (step @p582 :rule cong :premises (@p581) :args (@t22)) % 64.01/64.41 (step @p583 :rule cong :premises (@p582) :args (@t627)) % 64.01/64.41 (step @p584 :rule refl :args (@t628)) % 64.01/64.41 (step @p585 :rule refl :args (@t629)) % 64.01/64.41 (step @p586 :rule refl :args (@t630)) % 64.01/64.41 (step @p587 :rule eq-symm :args (tptp.v_c____ tptp.v_b____)) % 64.01/64.41 (step @p588 :rule eq-symm :args (tptp.v_a____ tptp.v_b____)) % 64.01/64.41 (step @p589 :rule nary_cong :premises (@p588 @p587 @p587 @p586 @p585 @p584 @p583 @p580) :args (@t632)) % 64.01/64.41 (step @p590 :rule refl :args (@t633)) % 64.01/64.41 (step @p591 :rule cong :premises (@p590 @p589) :args ((=> @t633 @t632))) % 64.01/64.41 (assume-push @p685 @t633) % 64.01/64.41 (step @p593 :rule instantiate :premises (@p579) :args (@t634)) % 64.01/64.41 (step-pop @p686 :rule scope :premises (@p593)) % 64.01/64.41 (step @p594 :rule process_scope :premises (@p686) :args (@t632)) % 64.01/64.41 (step @p596 :rule eq_resolve :premises (@p594 @p591)) % 64.01/64.41 (step @p597 :rule implies_elim :premises (@p596)) % 64.01/64.41 (step @p598 :rule chain_m_resolution :premises (@p597 @p579) :args (@t637 @t638 (@list @t633))) % 64.01/64.41 (step @p599 :rule eq_resolve :premises (@p11 @p582)) % 64.01/64.41 (step @p600 :rule symm :premises (@p4)) % 64.01/64.41 (step @p601 :rule cnf_or_pos :args (@t637)) % 64.01/64.41 (step @p602 :rule factoring :premises (@p601)) % 64.01/64.41 (step @p603 :rule reordering :premises (@p602) :args ((or @t8 @t602 @t630 @t628 @t629 @t636 (not @t637)))) % 64.01/64.41 (step @p604 :rule chain_m_resolution :premises (@p603 @p5 @p600 @p8 @p10 @p599 @p598) :args (@t602 (@list true true false false false false) (@list @t8 @t630 @t12 @t19 @t635 @t637))) % 64.01/64.41 (step @p605 :rule not_equiv_elim2 :premises (@p508)) % 64.01/64.41 (step @p606 :rule aci_norm :args ((= (or @t546 @t641) @t640))) % 64.01/64.41 (step @p607 :rule aci_norm :args ((= (or @t609 @t642) @t641))) % 64.01/64.41 (step @p608 :rule aci_norm :args ((= (or @t608 @t643) @t642))) % 64.01/64.41 (step @p609 :rule aci_norm :args ((= (or @t607 @t644) @t643))) % 64.01/64.41 (step @p610 :rule aci_norm :args ((= (or @t606 @t645) @t644))) % 64.01/64.41 (step @p611 :rule aci_norm :args ((= (or @t605 @t646) @t645))) % 64.01/64.41 (step @p612 :rule aci_norm :args ((= (or @t604 (or @t639 @t28)) @t646))) % 64.01/64.41 (step @p613 :rule bool-impl-elim :args (@t33 @t28)) % 64.01/64.41 (step @p614 :rule refl :args (@t604)) % 64.01/64.41 (step @p615 :rule nary_cong :premises (@p614 @p613) :args ((or @t604 @t54))) % 64.01/64.41 (step @p616 :rule trans :premises (@p615 @p612)) % 64.01/64.41 (step @p617 :rule bool-impl-elim :args (@t37 @t54)) % 64.01/64.41 (step @p618 :rule trans :premises (@p617 @p616)) % 64.01/64.41 (step @p619 :rule nary_cong :premises (@p517 @p618) :args ((or @t605 @t55))) % 64.01/64.41 (step @p620 :rule trans :premises (@p619 @p611)) % 64.01/64.41 (step @p621 :rule bool-impl-elim :args (@t39 @t55)) % 64.01/64.41 (step @p622 :rule trans :premises (@p621 @p620)) % 64.01/64.41 (step @p623 :rule nary_cong :premises (@p522 @p622) :args ((or @t606 @t56))) % 64.01/64.41 (step @p624 :rule trans :premises (@p623 @p610)) % 64.01/64.41 (step @p625 :rule bool-impl-elim :args (@t41 @t56)) % 64.01/64.41 (step @p626 :rule trans :premises (@p625 @p624)) % 64.01/64.41 (step @p627 :rule nary_cong :premises (@p527 @p626) :args ((or @t607 @t57))) % 64.01/64.41 (step @p628 :rule trans :premises (@p627 @p609)) % 64.01/64.41 (step @p629 :rule refl :args (@t57)) % 64.01/64.41 (step @p630 :rule nary_cong :premises (@p531 @p629) :args ((or @t617 @t57))) % 64.01/64.41 (step @p631 :rule bool-impl-elim :args (@t616 @t57)) % 64.01/64.41 (step @p632 :rule trans :premises (@p631 @p630)) % 64.01/64.41 (step @p633 :rule trans :premises (@p632 @p628)) % 64.01/64.41 (step @p634 :rule nary_cong :premises (@p536 @p633) :args ((or @t608 @t647))) % 64.01/64.41 (step @p635 :rule trans :premises (@p634 @p608)) % 64.01/64.41 (step @p636 :rule refl :args (@t647)) % 64.01/64.41 (step @p637 :rule nary_cong :premises (@p540 @p636) :args ((or @t620 @t647))) % 64.01/64.41 (step @p638 :rule bool-impl-elim :args (@t619 @t647)) % 64.01/64.41 (step @p639 :rule trans :premises (@p638 @p637)) % 64.01/64.41 (step @p640 :rule trans :premises (@p639 @p635)) % 64.01/64.41 (step @p641 :rule nary_cong :premises (@p545 @p640) :args ((or @t609 @t648))) % 64.01/64.41 (step @p642 :rule trans :premises (@p641 @p607)) % 64.01/64.41 (step @p643 :rule refl :args (@t648)) % 64.01/64.41 (step @p644 :rule nary_cong :premises (@p549 @p643) :args ((or @t623 @t648))) % 64.01/64.41 (step @p645 :rule bool-impl-elim :args (@t622 @t648)) % 64.01/64.41 (step @p646 :rule trans :premises (@p645 @p644)) % 64.01/64.41 (step @p647 :rule trans :premises (@p646 @p642)) % 64.01/64.41 (step @p648 :rule nary_cong :premises (@p554 @p647) :args ((or @t546 @t649))) % 64.01/64.41 (step @p649 :rule trans :premises (@p648 @p606)) % 64.01/64.41 (step @p650 :rule refl :args (@t649)) % 64.01/64.41 (step @p651 :rule nary_cong :premises (@p558 @p650) :args ((or @t626 @t649))) % 64.01/64.41 (step @p652 :rule bool-impl-elim :args (@t625 @t649)) % 64.01/64.41 (step @p653 :rule trans :premises (@p652 @p651)) % 64.01/64.41 (step @p654 :rule trans :premises (@p653 @p649)) % 64.01/64.41 (step @p655 :rule cong :premises (@p654) :args ((forall @t52 (=> @t625 @t649)))) % 64.01/64.41 (step @p656 :rule refl :args (@t57)) % 64.01/64.41 (step @p657 :rule cong :premises (@p566 @p656) :args (@t58)) % 64.01/64.41 (step @p658 :rule cong :premises (@p569 @p657) :args (@t59)) % 64.01/64.41 (step @p659 :rule cong :premises (@p572 @p658) :args (@t60)) % 64.01/64.41 (step @p660 :rule cong :premises (@p575 @p659) :args (@t61)) % 64.01/64.41 (step @p661 :rule cong :premises (@p660) :args (@t62)) % 64.01/64.41 (step @p662 :rule trans :premises (@p661 @p655)) % 64.01/64.41 (step @p663 :rule eq_resolve :premises (@p13 @p662)) % 64.01/64.41 (step @p664 :rule refl :args (@t600)) % 64.01/64.41 (step @p665 :rule refl :args (@t650)) % 64.01/64.41 (step @p666 :rule nary_cong :premises (@p588 @p587 @p587 @p586 @p585 @p584 @p583 @p665 @p664) :args (@t651)) % 64.01/64.41 (step @p667 :rule refl :args (@t652)) % 64.01/64.41 (step @p668 :rule cong :premises (@p667 @p666) :args ((=> @t652 @t651))) % 64.01/64.41 (assume-push @p687 @t652) % 64.01/64.41 (step @p670 :rule instantiate :premises (@p663) :args (@t634)) % 64.01/64.41 (step-pop @p688 :rule scope :premises (@p670)) % 64.01/64.41 (step @p671 :rule process_scope :premises (@p688) :args (@t651)) % 64.01/64.41 (step @p673 :rule eq_resolve :premises (@p671 @p668)) % 64.01/64.41 (step @p674 :rule implies_elim :premises (@p673)) % 64.01/64.41 (step @p675 :rule chain_m_resolution :premises (@p674 @p663) :args (@t653 @t638 (@list @t652))) % 64.01/64.41 (step @p676 :rule cnf_or_pos :args (@t653)) % 64.01/64.41 (step @p677 :rule factoring :premises (@p676)) % 64.01/64.41 (step @p678 :rule reordering :premises (@p677) :args ((or @t8 @t600 @t630 @t628 @t629 @t636 @t650 (not @t653)))) % 64.01/64.41 (step @p679 :rule chain_m_resolution :premises (@p678 @p675 @p599 @p10 @p8 @p5 @p600 @p605) :args (@t650 (@list false false false false true true true) (@list @t653 @t635 @t19 @t12 @t8 @t630 @t600))) % 64.01/64.41 (step @p680 :rule not_equiv_elim1 :premises (@p508)) % 64.01/64.41 (step @p681 :rule chain_m_resolution :premises (@p680 @p679) :args (@t600 (@list true) (@list @t601))) % 64.01/64.41 (step @p682 :rule cnf_equiv_pos2 :args (@t602)) % 64.01/64.41 (step @p683 :rule reordering :premises (@p682) :args ((or @t601 @t603 (not @t600)))) % 64.01/64.41 (step @p684 false :rule chain_m_resolution :premises (@p683 @p681 @p679 @p604) :args (false (@list false true false) (@list @t600 @t601 @t602))) % 64.01/64.41 ) % 64.01/64.41 % SZS output end Proof % 64.01/64.41 % cvc5 exiting %------------------------------------------------------------------------------