%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT153+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 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 64.88s 65.06s % Output : Proof 64.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT153+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:31:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.62 %----Proving TF0_NAR, FOF, or CNF % 64.88/65.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.88/65.06 --- Run --no-e-matching --full-saturate-quant at 6... % 64.88/65.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.88/65.06 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.88/65.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.88/65.06 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.88/65.06 % SZS status Theorem % 64.88/65.06 % SZS output start Proof % 64.88/65.06 ( % 64.88/65.06 (declare-sort $$unsorted 0) % 64.88/65.06 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 64.88/65.06 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 64.88/65.06 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 64.88/65.06 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 64.88/65.06 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.v_a____ $$unsorted) % 64.88/65.06 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.tc_HOL_Obool $$unsorted) % 64.88/65.06 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.v_F $$unsorted) % 64.88/65.06 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.v_b____ $$unsorted) % 64.88/65.06 (declare-const tptp.v_P____ $$unsorted) % 64.88/65.06 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 64.88/65.06 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.v_c____ $$unsorted) % 64.88/65.06 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 64.88/65.06 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.v_P_H____ $$unsorted) % 64.88/65.06 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 64.88/65.06 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 64.88/65.06 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 64.88/65.06 (declare-const tptp.tc_Nat_Onat $$unsorted) % 64.88/65.06 (define @t1 () (@var "V_g_2" $$unsorted)) % 64.88/65.06 (define @t2 () (@var "V_f_2" $$unsorted)) % 64.88/65.06 (define @t3 () (@var "B_x" $$unsorted)) % 64.88/65.06 (define @t4 () (tptp.hAPP @t1 @t3)) % 64.88/65.06 (define @t5 () (tptp.hAPP @t2 @t3)) % 64.88/65.06 (define @t6 () (@list @t3)) % 64.88/65.06 (define @t7 () (= tptp.v_a____ tptp.v_b____)) % 64.88/65.06 (define @t8 () (@var "B_i" $$unsorted)) % 64.88/65.06 (define @t9 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_c____)) % 64.88/65.06 (define @t10 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.88/65.06 (define @t11 () (tptp.c_member @t10 @t9 (tptp.hAPP tptp.v_P_H____ @t8))) % 64.88/65.06 (define @t12 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____)) % 64.88/65.06 (define @t13 () (tptp.c_member @t10 @t12 (tptp.hAPP tptp.v_P____ @t8))) % 64.88/65.06 (define @t14 () (@list @t8)) % 64.88/65.06 (define @t15 () (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.88/65.06 (define @t16 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 64.88/65.06 (define @t17 () (tptp.c_Fun_Ocomp @t16 @t16 tptp.tc_Arrow__Order__Mirabelle_Oindi @t15 tptp.v_P____)) % 64.88/65.06 (define @t18 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_a____)) % 64.88/65.06 (define @t19 () (tptp.c_member @t10 @t18 (tptp.hAPP tptp.v_F @t17))) % 64.88/65.06 (define @t20 () (tptp.c_member @t10 @t18 (tptp.hAPP @t17 @t8))) % 64.88/65.06 (define @t21 () (forall @t14 (= @t20 @t11))) % 64.88/65.06 (define @t22 () (@var "V_r_2" $$unsorted)) % 64.88/65.06 (define @t23 () (@var "V_aa_2" $$unsorted)) % 64.88/65.06 (define @t24 () (@var "V_ba_2" $$unsorted)) % 64.88/65.06 (define @t25 () (@var "T_a" $$unsorted)) % 64.88/65.06 (define @t26 () (@var "T_b" $$unsorted)) % 64.88/65.06 (define @t27 () (tptp.c_Product__Type_OPair @t26 @t25 @t24 @t23)) % 64.88/65.06 (define @t28 () (tptp.tc_prod @t26 @t25)) % 64.88/65.06 (define @t29 () (tptp.c_member @t28 @t27 @t22)) % 64.88/65.06 (define @t30 () (tptp.c_Relation_Oconverse @t26 @t25)) % 64.88/65.06 (define @t31 () (tptp.hAPP @t30 @t22)) % 64.88/65.06 (define @t32 () (tptp.c_Product__Type_OPair @t25 @t26 @t23 @t24)) % 64.88/65.06 (define @t33 () (tptp.tc_prod @t25 @t26)) % 64.88/65.06 (define @t34 () (tptp.c_member @t33 @t32 @t31)) % 64.88/65.06 (define @t35 () (@list @t22 @t24 @t23 @t26 @t25)) % 64.88/65.06 (define @t36 () (tptp.hAPP (tptp.c_Relation_Oconverse @t25 @t26) @t22)) % 64.88/65.06 (define @t37 () (tptp.c_member @t33 @t32 @t22)) % 64.88/65.06 (define @t38 () (@var "V_B_2" $$unsorted)) % 64.88/65.06 (define @t39 () (@var "V_ca_2" $$unsorted)) % 64.88/65.06 (define @t40 () (tptp.c_member @t25 @t39 @t38)) % 64.88/65.06 (define @t41 () (@var "V_A_2" $$unsorted)) % 64.88/65.06 (define @t42 () (tptp.c_member @t25 @t39 @t41)) % 64.88/65.06 (define @t43 () (=> (not @t42) @t40)) % 64.88/65.06 (define @t44 () (not @t40)) % 64.88/65.06 (define @t45 () (= @t41 @t38)) % 64.88/65.06 (define @t46 () (@var "V_L_2" $$unsorted)) % 64.88/65.06 (define @t47 () (@var "V_y_2" $$unsorted)) % 64.88/65.06 (define @t48 () (@var "V_x_2" $$unsorted)) % 64.88/65.06 (define @t49 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t48 @t47)) % 64.88/65.06 (define @t50 () (tptp.c_member @t10 @t49 @t46)) % 64.88/65.06 (define @t51 () (@var "V_z_2" $$unsorted)) % 64.88/65.06 (define @t52 () (= @t48 @t51)) % 64.88/65.06 (define @t53 () (not @t52)) % 64.88/65.06 (define @t54 () (= @t48 @t47)) % 64.88/65.06 (define @t55 () (not @t54)) % 64.88/65.06 (define @t56 () (= @t47 @t51)) % 64.88/65.06 (define @t57 () (not @t56)) % 64.88/65.06 (define @t58 () (@list @t51 @t46 @t47 @t48)) % 64.88/65.06 (define @t59 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t16)) % 64.88/65.06 (define @t60 () (tptp.c_member @t59 @t17 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.88/65.06 (define @t61 () (@var "V_R_2" $$unsorted)) % 64.88/65.06 (define @t62 () (tptp.c_Product__Type_OPair @t25 @t26 @t48 @t47)) % 64.88/65.06 (define @t63 () (@var "V_Pa_2" $$unsorted)) % 64.88/65.06 (define @t64 () (tptp.c_Recdef_Osame__fst @t25 @t26 @t63 @t61)) % 64.88/65.06 (define @t65 () (@var "V_y_H_2" $$unsorted)) % 64.88/65.06 (define @t66 () (tptp.tc_prod @t33 @t33)) % 64.88/65.06 (define @t67 () (tptp.tc_prod @t26 @t26)) % 64.88/65.06 (define @t68 () (tptp.hAPP @t63 @t48)) % 64.88/65.06 (define @t69 () (tptp.hBOOL @t68)) % 64.88/65.06 (define @t70 () (tptp.c_member @t59 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.88/65.06 (define @t71 () (tptp.c_member @t25 @t23 @t41)) % 64.88/65.06 (define @t72 () (= @t23 @t24)) % 64.88/65.06 (define @t73 () (@list @t41 @t25 @t24 @t23)) % 64.88/65.06 (define @t74 () (tptp.c_member @t25 @t47 @t41)) % 64.88/65.06 (define @t75 () (tptp.c_member @t25 @t48 @t41)) % 64.88/65.06 (define @t76 () (tptp.c_member @t25 @t48 @t38)) % 64.88/65.06 (define @t77 () (tptp.hBOOL (tptp.hAPP @t41 @t48))) % 64.88/65.06 (define @t78 () (@list @t41 @t48 @t25)) % 64.88/65.06 (define @t79 () (@var "V_x_H_2" $$unsorted)) % 64.88/65.06 (define @t80 () (@var "V_g_H_2" $$unsorted)) % 64.88/65.06 (define @t81 () (@var "V_f_H_2" $$unsorted)) % 64.88/65.06 (define @t82 () (@var "T_e" $$unsorted)) % 64.88/65.06 (define @t83 () (@var "T_d" $$unsorted)) % 64.88/65.06 (define @t84 () (@var "T_c" $$unsorted)) % 64.88/65.06 (define @t85 () (tptp.hAPP (tptp.c_Fun_Ocomp @t26 @t25 @t84 @t2 @t1) @t48)) % 64.88/65.06 (define @t86 () (tptp.hAPP @t1 @t48)) % 64.88/65.06 (define @t87 () (tptp.hAPP @t2 @t86)) % 64.88/65.06 (define @t88 () (@list @t22 @t25 @t26)) % 64.88/65.06 (define @t89 () (@var "V_P_Ha_2" $$unsorted)) % 64.88/65.06 (define @t90 () (tptp.hAPP tptp.v_F @t89)) % 64.88/65.06 (define @t91 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t24 @t23)) % 64.88/65.06 (define @t92 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t23 @t24)) % 64.88/65.06 (define @t93 () (tptp.c_member @t10 @t92 (tptp.hAPP tptp.v_F @t63))) % 64.88/65.06 (define @t94 () (= @t93 (tptp.c_member @t10 @t91 @t90))) % 64.88/65.06 (define @t95 () (tptp.hAPP @t89 @t8)) % 64.88/65.06 (define @t96 () (tptp.c_member @t10 @t92 (tptp.hAPP @t63 @t8))) % 64.88/65.06 (define @t97 () (forall @t14 (= @t96 (tptp.c_member @t10 @t91 @t95)))) % 64.88/65.06 (define @t98 () (=> @t97 @t94)) % 64.88/65.06 (define @t99 () (tptp.c_member @t59 @t89 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.88/65.06 (define @t100 () (=> @t99 @t98)) % 64.88/65.06 (define @t101 () (tptp.c_member @t59 @t63 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.88/65.06 (define @t102 () (=> @t101 @t100)) % 64.88/65.06 (define @t103 () (not @t72)) % 64.88/65.06 (define @t104 () (=> @t103 @t102)) % 64.88/65.06 (define @t105 () (@list @t89 @t63 @t24 @t23)) % 64.88/65.06 (define @t106 () (forall @t105 @t104)) % 64.88/65.06 (define @t107 () (@var "V_b_H_2" $$unsorted)) % 64.88/65.06 (define @t108 () (@var "V_a_H_2" $$unsorted)) % 64.88/65.06 (define @t109 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t108 @t107)) % 64.88/65.06 (define @t110 () (tptp.c_member @t10 @t109 @t90)) % 64.88/65.06 (define @t111 () (forall @t14 (= @t96 (tptp.c_member @t10 @t109 @t95)))) % 64.88/65.06 (define @t112 () (not (= @t24 @t108))) % 64.88/65.06 (define @t113 () (not (= @t23 @t107))) % 64.88/65.06 (define @t114 () (not (= @t108 @t107))) % 64.88/65.06 (define @t115 () (@list @t89 @t63 @t107 @t108 @t24 @t23)) % 64.88/65.06 (define @t116 () (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t3)) % 64.88/65.06 (define @t117 () (tptp.tc_prod @t25 @t25)) % 64.88/65.06 (define @t118 () (tptp.c_member @t117 @t116 @t22)) % 64.88/65.06 (define @t119 () (@list @t22 @t25)) % 64.88/65.06 (define @t120 () (@var "B_xa" $$unsorted)) % 64.88/65.06 (define @t121 () (@var "V_Fa_2" $$unsorted)) % 64.88/65.06 (define @t122 () (@var "B_b" $$unsorted)) % 64.88/65.06 (define @t123 () (@var "B_a" $$unsorted)) % 64.88/65.06 (define @t124 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t123 @t122)) % 64.88/65.06 (define @t125 () (tptp.hAPP @t121 @t3)) % 64.88/65.06 (define @t126 () (tptp.c_member @t10 @t124 @t125)) % 64.88/65.06 (define @t127 () (tptp.c_member @t10 @t124 (tptp.hAPP @t3 @t8))) % 64.88/65.06 (define @t128 () (@list @t123 @t122)) % 64.88/65.06 (define @t129 () (@list @t120)) % 64.88/65.06 (define @t130 () (tptp.c_member @t59 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.88/65.06 (define @t131 () (@list @t121)) % 64.88/65.06 (define @t132 () (@var "V_s_2" $$unsorted)) % 64.88/65.06 (define @t133 () (= @t23 @t108)) % 64.88/65.06 (define @t134 () (tptp.c_Product__Type_OPair @t25 @t26 @t108 @t107)) % 64.88/65.06 (define @t135 () (@var "V_i_2" $$unsorted)) % 64.88/65.06 (define @t136 () (@var "B_y" $$unsorted)) % 64.88/65.06 (define @t137 () (@var "V_yx_2" $$unsorted)) % 64.88/65.06 (define @t138 () (@list @t3 @t136)) % 64.88/65.06 (define @t139 () (tptp.c_Relation_ORange @t25 @t26 @t22)) % 64.88/65.06 (define @t140 () (tptp.c_Relation_OId__on @t25 @t41)) % 64.88/65.06 (define @t141 () (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t24)) % 64.88/65.06 (define @t142 () (@list @t41 @t25)) % 64.88/65.06 (define @t143 () (tptp.c_Relation_Oconverse @t25 @t25)) % 64.88/65.06 (define @t144 () (@list @t136)) % 64.88/65.06 (define @t145 () (tptp.c_Relation_ORange @t26 @t25 @t22)) % 64.88/65.06 (define @t146 () (@list @t22 @t26 @t23 @t25)) % 64.88/65.06 (define @t147 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t47)) % 64.88/65.06 (define @t148 () (@list @t41 @t47 @t48 @t25)) % 64.88/65.06 (define @t149 () (tptp.c_member @t25 @t3 @t41)) % 64.88/65.06 (define @t150 () (tptp.c_Relation_ODomain @t25 @t26 @t22)) % 64.88/65.06 (define @t151 () (tptp.c_member @t25 @t23 @t150)) % 64.88/65.06 (define @t152 () (tptp.c_Wellfounded_Oacc @t25 @t22)) % 64.88/65.06 (define @t153 () (tptp.c_member @t25 @t3 @t152)) % 64.88/65.06 (define @t154 () (tptp.c_member @t25 @t23 @t152)) % 64.88/65.06 (define @t155 () (@list @t22 @t23 @t25)) % 64.88/65.06 (define @t156 () (tptp.c_member @t117 @t141 @t22)) % 64.88/65.06 (define @t157 () (tptp.c_member @t25 @t24 @t152)) % 64.88/65.06 (define @t158 () (tptp.c_Relation_Ototal__on @t25 @t41 @t22)) % 64.88/65.06 (define @t159 () (@list @t22 @t41 @t25)) % 64.88/65.06 (define @t160 () (tptp.hAPP @t2 @t47)) % 64.88/65.06 (define @t161 () (tptp.hAPP @t2 @t48)) % 64.88/65.06 (define @t162 () (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t23)) % 64.88/65.06 (define @t163 () (tptp.c_member @t117 @t162 @t22)) % 64.88/65.06 (define @t164 () (tptp.c_Relation_Orefl__on @t25 @t41 @t22)) % 64.88/65.06 (define @t165 () (tptp.c_member @t117 @t147 @t22)) % 64.88/65.06 (define @t166 () (@list @t47 @t48 @t22 @t41 @t25)) % 64.88/65.06 (define @t167 () (tptp.hAPP @t143 @t22)) % 64.88/65.06 (define @t168 () (tptp.c_Relation_ODomain @t25 @t26 @t31)) % 64.88/65.06 (define @t169 () (@list @t22 @t26 @t25)) % 64.88/65.06 (define @t170 () (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t23 @t136) @t22)) % 64.88/65.06 (define @t171 () (tptp.c_Wellfounded_Oacc @t25 @t61)) % 64.88/65.06 (define @t172 () (@var "B_z" $$unsorted)) % 64.88/65.06 (define @t173 () (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t172 @t48) @t61)) % 64.88/65.06 (define @t174 () (@list @t172)) % 64.88/65.06 (define @t175 () (tptp.c_member @t25 @t48 @t152)) % 64.88/65.06 (define @t176 () (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t136 @t48) @t22)) % 64.88/65.06 (define @t177 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t22)) % 64.88/65.06 (define @t178 () (tptp.c_Product__Type_OPair @t25 @t25 @t24 @t23)) % 64.88/65.06 (define @t179 () (tptp.c_member @t117 @t178 @t177)) % 64.88/65.06 (define @t180 () (@var "B_g" $$unsorted)) % 64.88/65.06 (define @t181 () (@var "V_a1_2" $$unsorted)) % 64.88/65.06 (define @t182 () (forall @t174 (=> (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t172 @t181) @t61) (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t61 @t121 @t172 (tptp.hAPP @t180 @t172))))) % 64.88/65.06 (define @t183 () (tptp.hAPP (tptp.hAPP @t121 @t180) @t181)) % 64.88/65.06 (define @t184 () (@var "V_a2_2" $$unsorted)) % 64.88/65.06 (define @t185 () (tptp.hAPP (tptp.hAPP @t121 @t184) @t181)) % 64.88/65.06 (define @t186 () (@list @t180)) % 64.88/65.06 (define @t187 () (@list @t184 @t181 @t121 @t61 @t26 @t25)) % 64.88/65.06 (define @t188 () (tptp.c_member @t16 @t46 tptp.c_Arrow__Order__Mirabelle_OLin)) % 64.88/65.06 (define @t189 () (@var "B_v" $$unsorted)) % 64.88/65.06 (define @t190 () (@var "V_d_2" $$unsorted)) % 64.88/65.06 (define @t191 () (tptp.c_Fun_Ocomp @t84 @t26 @t25 @t23 @t24)) % 64.88/65.06 (define @t192 () (= @t191 (tptp.c_Fun_Ocomp @t83 @t26 @t25 @t39 @t190))) % 64.88/65.06 (define @t193 () (@list @t48 @t46)) % 64.88/65.06 (define @t194 () (@var "V_h_2" $$unsorted)) % 64.88/65.06 (define @t195 () (@var "V_v_2" $$unsorted)) % 64.88/65.06 (define @t196 () (tptp.hAPP @t23 (tptp.hAPP @t24 @t195))) % 64.88/65.06 (define @t197 () (@var "V_p_2" $$unsorted)) % 64.88/65.06 (define @t198 () (tptp.c_member @t117 @t197 @t22)) % 64.88/65.06 (define @t199 () (@list @t22 @t197 @t25)) % 64.88/65.06 (define @t200 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t61)) % 64.88/65.06 (define @t201 () (tptp.c_member @t117 @t147 @t200)) % 64.88/65.06 (define @t202 () (= @t47 @t24)) % 64.88/65.06 (define @t203 () (= @t48 @t23)) % 64.88/65.06 (define @t204 () (= @t48 @t24)) % 64.88/65.06 (define @t205 () (@list @t47 @t48 @t46 @t24 @t23)) % 64.88/65.06 (define @t206 () (= @t47 @t23)) % 64.88/65.06 (define @t207 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t167)) % 64.88/65.06 (define @t208 () (tptp.c_member @t117 @t147 @t207)) % 64.88/65.06 (define @t209 () (tptp.c_Product__Type_OPair @t25 @t25 @t47 @t48)) % 64.88/65.06 (define @t210 () (tptp.c_member @t117 @t209 @t177)) % 64.88/65.06 (define @t211 () (@list @t22 @t48 @t47 @t25)) % 64.88/65.06 (define @t212 () (@list @t22 @t47 @t48 @t25)) % 64.88/65.06 (define @t213 () (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t39)) % 64.88/65.06 (define @t214 () (tptp.c_member @t117 @t213 @t177)) % 64.88/65.06 (define @t215 () (tptp.c_Product__Type_OPair @t25 @t25 @t24 @t39)) % 64.88/65.06 (define @t216 () (tptp.c_member @t117 @t215 @t177)) % 64.88/65.06 (define @t217 () (=> @t216 @t214)) % 64.88/65.06 (define @t218 () (@list @t39 @t22 @t24 @t23 @t25)) % 64.88/65.06 (define @t219 () (@list @t46 @t47 @t48)) % 64.88/65.06 (define @t220 () (tptp.c_member @t117 @t141 @t177)) % 64.88/65.06 (define @t221 () (tptp.c_member @t117 @t215 @t22)) % 64.88/65.06 (define @t222 () (tptp.c_Product__Type_OPair @t25 @t25 @t47 @t51)) % 64.88/65.06 (define @t223 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t51)) % 64.88/65.06 (define @t224 () (tptp.c_member @t117 @t223 @t177)) % 64.88/65.06 (define @t225 () (tptp.c_member @t117 @t147 @t177)) % 64.88/65.06 (define @t226 () (@var "V_by_2" $$unsorted)) % 64.88/65.06 (define @t227 () (@var "V_bx_2" $$unsorted)) % 64.88/65.06 (define @t228 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 @t227) @t226))) % 64.88/65.06 (define @t229 () (@var "B_ba" $$unsorted)) % 64.88/65.06 (define @t230 () (@var "B_aa" $$unsorted)) % 64.88/65.06 (define @t231 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 @t230) @t229))) % 64.88/65.06 (define @t232 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 @t123) @t122))) % 64.88/65.06 (define @t233 () (tptp.c_Product__Type_OPair @t25 @t26 @t230 @t229)) % 64.88/65.06 (define @t234 () (tptp.c_Product__Type_OPair @t25 @t26 @t123 @t122)) % 64.88/65.06 (define @t235 () (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t234 @t233) @t22)) % 64.88/65.06 (define @t236 () (tptp.c_Transitive__Closure_Ortrancl @t33 @t22)) % 64.88/65.06 (define @t237 () (@var "V_ay_2" $$unsorted)) % 64.88/65.06 (define @t238 () (@var "V_ax_2" $$unsorted)) % 64.88/65.06 (define @t239 () (tptp.c_Product__Type_OPair @t25 @t26 @t238 @t237)) % 64.88/65.06 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 @t238) @t237))) % 64.88/65.06 (define @t241 () (tptp.c_Product__Type_OPair @t25 @t26 @t227 @t226)) % 64.88/65.06 (define @t242 () (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t239 @t241) @t236)) % 64.88/65.06 (define @t243 () (@list @t63 @t22 @t226 @t227 @t237 @t238 @t26 @t25)) % 64.88/65.06 (define @t244 () (@var "V_zb_2" $$unsorted)) % 64.88/65.06 (define @t245 () (@var "V_za_2" $$unsorted)) % 64.88/65.06 (define @t246 () (tptp.c_Product__Type_OPair @t25 @t26 @t245 @t244)) % 64.88/65.06 (define @t247 () (@var "V_xb_2" $$unsorted)) % 64.88/65.06 (define @t248 () (@var "V_xa_2" $$unsorted)) % 64.88/65.06 (define @t249 () (tptp.c_Product__Type_OPair @t25 @t26 @t248 @t247)) % 64.88/65.06 (define @t250 () (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t136) @t177)) % 64.88/65.06 (define @t251 () (@list @t22 @t24 @t23 @t25)) % 64.88/65.06 (define @t252 () (forall @t138 (=> (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t3 @t136) @t22) (forall @t174 (=> (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t3 @t172) @t22) (= @t136 @t172)))))) % 64.88/65.06 (define @t253 () (tptp.c_Relation_Osingle__valued @t25 @t26 @t22)) % 64.88/65.06 (define @t254 () (tptp.hBOOL (tptp.hAPP @t63 @t24))) % 64.88/65.06 (define @t255 () (tptp.hBOOL (tptp.hAPP @t63 @t172))) % 64.88/65.06 (define @t256 () (tptp.hBOOL (tptp.hAPP @t63 @t136))) % 64.88/65.06 (define @t257 () (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t136 @t172) @t22)) % 64.88/65.06 (define @t258 () (tptp.hBOOL (tptp.hAPP @t63 @t23))) % 64.88/65.06 (define @t259 () (@list @t63 @t22 @t24 @t23 @t25)) % 64.88/65.06 (define @t260 () (tptp.c_Product__Type_OPair @t25 @t25 @t136 @t51)) % 64.88/65.06 (define @t261 () (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t136) @t22)) % 64.88/65.06 (define @t262 () (@list @t22 @t51 @t48 @t25)) % 64.88/65.06 (define @t263 () (tptp.c_Transitive__Closure_Otrancl @t25 @t22)) % 64.88/65.06 (define @t264 () (tptp.c_member @t117 @t141 @t263)) % 64.88/65.06 (define @t265 () (@var "B_f" $$unsorted)) % 64.88/65.06 (define @t266 () (@var "B_R" $$unsorted)) % 64.88/65.06 (define @t267 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t23)) % 64.88/65.06 (define @t268 () (tptp.c_member @t117 @t197 @t263)) % 64.88/65.06 (define @t269 () (tptp.c_Transitive__Closure_Otrancl @t25 @t61)) % 64.88/65.06 (define @t270 () (@list @t61 @t25)) % 64.88/65.06 (define @t271 () (tptp.hAPP @t143 @t263)) % 64.88/65.06 (define @t272 () (tptp.c_Transitive__Closure_Otrancl @t25 @t167)) % 64.88/65.06 (define @t273 () (tptp.c_member @t117 @t213 @t263)) % 64.88/65.06 (define @t274 () (=> (tptp.c_member @t117 @t215 @t263) @t273)) % 64.88/65.06 (define @t275 () (=> @t221 @t273)) % 64.88/65.06 (define @t276 () (tptp.c_member @t117 @t223 @t263)) % 64.88/65.06 (define @t277 () (=> @t216 @t273)) % 64.88/65.06 (define @t278 () (tptp.c_member @t117 @t147 @t269)) % 64.88/65.06 (define @t279 () (@list @t61 @t47 @t48 @t25)) % 64.88/65.06 (define @t280 () (tptp.c_member @t117 @t147 @t271)) % 64.88/65.06 (define @t281 () (tptp.c_member @t117 @t147 @t272)) % 64.88/65.06 (define @t282 () (tptp.c_Recdef_Ocut @t25 @t26 @t2 @t22 @t23)) % 64.88/65.06 (define @t283 () (tptp.c_member @t117 @t267 @t22)) % 64.88/65.06 (define @t284 () (tptp.c_Product__Type_OPair @t25 @t25 @t172 @t47)) % 64.88/65.06 (define @t285 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t172)) % 64.88/65.06 (define @t286 () (forall @t6 (not (tptp.c_member @t117 @t116 @t263)))) % 64.88/65.06 (define @t287 () (tptp.c_Wellfounded_Oacyclic @t25 @t22)) % 64.88/65.06 (define @t288 () (@var "B_c" $$unsorted)) % 64.88/65.06 (define @t289 () (not @t225)) % 64.88/65.06 (define @t290 () (tptp.c_Set_Oinsert @t117 @t209 @t22)) % 64.88/65.06 (define @t291 () (tptp.c_Relation_OId @t25)) % 64.88/65.06 (define @t292 () (@list @t23 @t25)) % 64.88/65.06 (define @t293 () (@var "B_L" $$unsorted)) % 64.88/65.06 (define @t294 () (@var "B_x1" $$unsorted)) % 64.88/65.06 (define @t295 () (tptp.c_Set_Oinsert @t25 @t24 @t38)) % 64.88/65.06 (define @t296 () (tptp.c_member @t25 @t23 @t295)) % 64.88/65.06 (define @t297 () (tptp.c_member @t25 @t23 @t38)) % 64.88/65.06 (define @t298 () (@list @t24 @t38 @t23 @t25)) % 64.88/65.06 (define @t299 () (tptp.c_member @t25 @t23 (tptp.c_Set_Oinsert @t25 @t24 @t41))) % 64.88/65.06 (define @t300 () (@list @t41 @t24 @t23 @t25)) % 64.88/65.06 (define @t301 () (tptp.c_Set_Oinsert @t25 @t47 @t41)) % 64.88/65.06 (define @t302 () (tptp.c_Set_Oinsert @t25 @t48 @t41)) % 64.88/65.06 (define @t303 () (@list @t25)) % 64.88/65.06 (define @t304 () (tptp.c_Set_Oinsert @t25 @t23 @t41)) % 64.88/65.06 (define @t305 () (@list @t41 @t23 @t25)) % 64.88/65.06 (define @t306 () (tptp.c_Set_Oinsert @t25 @t48 @t38)) % 64.88/65.06 (define @t307 () (not @t75)) % 64.88/65.06 (define @t308 () (@list @t38 @t41 @t48 @t25)) % 64.88/65.06 (define @t309 () (tptp.c_Set_Oinsert @t25 @t23 @t38)) % 64.88/65.06 (define @t310 () (tptp.c_Relation_Oantisym @t25 @t22)) % 64.88/65.06 (define @t311 () (@list @t24 @t23 @t25)) % 64.88/65.06 (define @t312 () (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t136 @t3) @t22)) % 64.88/65.06 (define @t313 () (forall @t138 (=> (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t136) @t22) (=> @t312 (= @t3 @t136))))) % 64.88/65.06 (define @t314 () (@var "V_b_H" $$unsorted)) % 64.88/65.06 (define @t315 () (@var "V_b" $$unsorted)) % 64.88/65.06 (define @t316 () (@var "V_a_H" $$unsorted)) % 64.88/65.06 (define @t317 () (@var "V_a" $$unsorted)) % 64.88/65.06 (define @t318 () (@var "V_f1_2" $$unsorted)) % 64.88/65.06 (define @t319 () (tptp.c_Product__Type_OPair @t26 @t84 @t23 @t24)) % 64.88/65.06 (define @t320 () (tptp.c_Wellfounded_Owf @t25 @t22)) % 64.88/65.06 (define @t321 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t25 @t26 tptp.tc_HOL_Obool @t2 @t23 @t24))) % 64.88/65.06 (define @t322 () (tptp.hBOOL (tptp.hAPP @t2 @t32))) % 64.88/65.06 (define @t323 () (@var "V_rb_2" $$unsorted)) % 64.88/65.06 (define @t324 () (@var "V_ra_2" $$unsorted)) % 64.88/65.06 (define @t325 () (forall @t6 @t153)) % 64.88/65.06 (define @t326 () (tptp.c_Wellfounded_Owf @t25 @t167)) % 64.88/65.06 (define @t327 () (tptp.c_Wellfounded_Omeasure @t25)) % 64.88/65.06 (define @t328 () (tptp.hAPP @t327 @t2)) % 64.88/65.06 (define @t329 () (@var "B_M" $$unsorted)) % 64.88/65.06 (define @t330 () (tptp.c_Recdef_Owfrec @t25 @t26 @t266 @t329)) % 64.88/65.06 (define @t331 () (@var "V_H_2" $$unsorted)) % 64.88/65.06 (define @t332 () (tptp.c_Recdef_Owfrec @t25 @t26 @t22 @t331)) % 64.88/65.06 (define @t333 () (@var "B_Q" $$unsorted)) % 64.88/65.06 (define @t334 () (tptp.c_member @t25 @t3 @t333)) % 64.88/65.06 (define @t335 () (tptp.hBOOL (tptp.hAPP @t63 @t3))) % 64.88/65.06 (define @t336 () (tptp.c_Wellfounded_Owf @t25 @t61)) % 64.88/65.06 (define @t337 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t161 @t160)) % 64.88/65.06 (define @t338 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 64.88/65.06 (define @t339 () (@list @t47 @t48)) % 64.88/65.06 (define @t340 () (tptp.c_Wellfounded_Omlex__prod @t25 @t2 @t61)) % 64.88/65.06 (define @t341 () (tptp.c_member @t117 @t147 @t340)) % 64.88/65.06 (define @t342 () (@list @t61 @t25 @t47 @t48 @t2)) % 64.88/65.06 (define @t343 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 64.88/65.06 (define @t344 () (tptp.c_Finite__Set_Ofinite @t117 @t22)) % 64.88/65.06 (define @t345 () (tptp.tc_fun @t25 tptp.tc_HOL_Obool)) % 64.88/65.06 (define @t346 () (@var "V_m_2" $$unsorted)) % 64.88/65.06 (define @t347 () (@var "V_n_2" $$unsorted)) % 64.88/65.06 (define @t348 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 @t347) @t346))) % 64.88/65.06 (define @t349 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t347 @t346)) % 64.88/65.06 (define @t350 () (= @t346 @t347)) % 64.88/65.06 (define @t351 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t346 @t347)) % 64.88/65.06 (define @t352 () (tptp.c_Finite__Set_Ofinite @t33 @t22)) % 64.88/65.06 (define @t353 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t346 @t347)) % 64.88/65.06 (define @t354 () (@list @t347 @t346)) % 64.88/65.06 (define @t355 () (@var "V_n" $$unsorted)) % 64.88/65.06 (define @t356 () (@list @t355)) % 64.88/65.06 (define @t357 () (not @t350)) % 64.88/65.06 (define @t358 () (@var "V_x" $$unsorted)) % 64.88/65.06 (define @t359 () (@var "V_y" $$unsorted)) % 64.88/65.06 (define @t360 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t358 @t359)) % 64.88/65.06 (define @t361 () (= @t358 @t359)) % 64.88/65.06 (define @t362 () (not @t361)) % 64.88/65.06 (define @t363 () (@list @t359 @t358)) % 64.88/65.06 (define @t364 () (@var "V_m" $$unsorted)) % 64.88/65.06 (define @t365 () (= @t364 @t355)) % 64.88/65.06 (define @t366 () (not @t365)) % 64.88/65.06 (define @t367 () (@var "V_t" $$unsorted)) % 64.88/65.06 (define @t368 () (@var "V_s" $$unsorted)) % 64.88/65.06 (define @t369 () (tptp.c_Finite__Set_Ofinite @t25 @t304)) % 64.88/65.06 (define @t370 () (tptp.c_Finite__Set_Ofinite @t25 @t41)) % 64.88/65.06 (define @t371 () (tptp.c_Wellfounded_Ofinite__psubset @t25)) % 64.88/65.06 (define @t372 () (tptp.hAPP @t121 @t41)) % 64.88/65.06 (define @t373 () (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t372 @t161)) % 64.88/65.06 (define @t374 () (tptp.hAPP @t121 @t302)) % 64.88/65.06 (define @t375 () (= @t374 @t373)) % 64.88/65.06 (define @t376 () (tptp.c_Finite__Set_Ofolding__idem @t25 @t26 @t2 @t121)) % 64.88/65.06 (define @t377 () (@list @t48 @t41 @t121 @t2 @t26 @t25)) % 64.88/65.06 (define @t378 () (tptp.c_Finite__Set_Ofolding @t25 @t26 @t2 @t121)) % 64.88/65.06 (define @t379 () (tptp.hAPP @t87 @t372)) % 64.88/65.06 (define @t380 () (= (tptp.hAPP @t121 (tptp.c_Set_Oinsert @t26 @t48 @t41)) @t379)) % 64.88/65.07 (define @t381 () (tptp.c_member @t26 @t48 @t41)) % 64.88/65.07 (define @t382 () (tptp.c_Finite__Set_Ofinite @t26 @t41)) % 64.88/65.07 (define @t383 () (tptp.c_Finite__Set_Ofolding__image__simple @t25 @t26 @t2 @t51 @t1 @t121)) % 64.88/65.07 (define @t384 () (@list @t48 @t41 @t121 @t1 @t51 @t2 @t26 @t25)) % 64.88/65.07 (define @t385 () (@var "T_f" $$unsorted)) % 64.88/65.07 (define @t386 () (@var "V_fa_2" $$unsorted)) % 64.88/65.07 (define @t387 () (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t161 @t1)) % 64.88/65.07 (define @t388 () (tptp.hAPP @t121 @t38)) % 64.88/65.07 (define @t389 () (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t372 @t1)) % 64.88/65.07 (define @t390 () (tptp.c_Finite__Set_Ofinite @t25 @t38)) % 64.88/65.07 (define @t391 () (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t372 @t388)) % 64.88/65.07 (define @t392 () (@list @t38 @t41 @t121 @t2 @t26 @t25)) % 64.88/65.07 (define @t393 () (@var "V_t_2" $$unsorted)) % 64.88/65.07 (define @t394 () (tptp.c_Product__Type_OPair @t338 @t338 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t23 @t132) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t24 @t393))) % 64.88/65.07 (define @t395 () (tptp.tc_prod @t338 @t338)) % 64.88/65.07 (define @t396 () (tptp.c_member @t395 @t394 tptp.c_FunDef_Opair__leq)) % 64.88/65.07 (define @t397 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t24)) % 64.88/65.07 (define @t398 () (@list @t393 @t132 @t24 @t23)) % 64.88/65.07 (define @t399 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t25 @t26 @t2 @t51 @t1 @t121)) % 64.88/65.07 (define @t400 () (tptp.c_member @t395 @t394 tptp.c_FunDef_Opair__less)) % 64.88/65.07 (define @t401 () (@var "V_YS_2" $$unsorted)) % 64.88/65.07 (define @t402 () (@var "V_XS_2" $$unsorted)) % 64.88/65.07 (define @t403 () (tptp.tc_fun @t338 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t404 () (tptp.tc_prod @t403 @t403)) % 64.88/65.07 (define @t405 () (tptp.c_Product__Type_OPair @t403 @t403 @t402 @t401)) % 64.88/65.07 (define @t406 () (tptp.c_Product__Type_OPair @t338 @t338 @t48 @t47)) % 64.88/65.07 (define @t407 () (tptp.c_member @t395 @t406 tptp.c_FunDef_Opair__leq)) % 64.88/65.07 (define @t408 () (tptp.c_Product__Type_OPair @t403 @t403 @t402 (tptp.c_Set_Oinsert @t338 @t47 @t401))) % 64.88/65.07 (define @t409 () (tptp.c_member @t338 @t48 @t402)) % 64.88/65.07 (define @t410 () (@list @t401 @t47 @t402 @t48)) % 64.88/65.07 (define @t411 () (@var "V_Y_2" $$unsorted)) % 64.88/65.07 (define @t412 () (@var "V_X_2" $$unsorted)) % 64.88/65.07 (define @t413 () (tptp.c_member @t395 @t406 tptp.c_FunDef_Opair__less)) % 64.88/65.07 (define @t414 () (tptp.tc_fun @t404 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t415 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t24)) % 64.88/65.07 (define @t416 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t364 @t355)) % 64.88/65.07 (define @t417 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t355)) % 64.88/65.07 (define @t418 () (@list @t355 @t364)) % 64.88/65.07 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t346 @t347)) % 64.88/65.07 (define @t420 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t355 @t364)) % 64.88/65.07 (define @t421 () (@var "V_k" $$unsorted)) % 64.88/65.07 (define @t422 () (@var "V_i" $$unsorted)) % 64.88/65.07 (define @t423 () (@var "V_j" $$unsorted)) % 64.88/65.07 (define @t424 () (tptp.class_Orderings_Opreorder @t25)) % 64.88/65.07 (define @t425 () (@list @t358 @t25)) % 64.88/65.07 (define @t426 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t47 @t48)) % 64.88/65.07 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t25 @t48 @t47)) % 64.88/65.07 (define @t428 () (not @t427)) % 64.88/65.07 (define @t429 () (tptp.class_Orderings_Olinorder @t25)) % 64.88/65.07 (define @t430 () (@list @t47 @t48 @t25)) % 64.88/65.07 (define @t431 () (tptp.c_Orderings_Oord__class_Oless @t25 @t47 @t48)) % 64.88/65.07 (define @t432 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t48 @t47)) % 64.88/65.07 (define @t433 () (tptp.c_Orderings_Oord__class_Oless @t25 @t359 @t358)) % 64.88/65.07 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t358 @t359)) % 64.88/65.07 (define @t435 () (@list @t359 @t358 @t25)) % 64.88/65.07 (define @t436 () (=> @t42 @t40)) % 64.88/65.07 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t38)) % 64.88/65.07 (define @t438 () (@list @t39 @t38 @t41 @t25)) % 64.88/65.07 (define @t439 () (@list @t48 @t38 @t41 @t25)) % 64.88/65.07 (define @t440 () (tptp.tc_fun @t117 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t441 () (@list @t197 @t22 @t25)) % 64.88/65.07 (define @t442 () (@var "V_D_2" $$unsorted)) % 64.88/65.07 (define @t443 () (@var "V_C_2" $$unsorted)) % 64.88/65.07 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t22 @t132)) % 64.88/65.07 (define @t445 () (tptp.tc_fun @t33 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq @t445 @t22 @t132)) % 64.88/65.07 (define @t447 () (@list @t132 @t22 @t26 @t25)) % 64.88/65.07 (define @t448 () (@var "V_R1_2" $$unsorted)) % 64.88/65.07 (define @t449 () (@var "V_R2_2" $$unsorted)) % 64.88/65.07 (define @t450 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t132)) % 64.88/65.07 (define @t451 () (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t177 @t450)) % 64.88/65.07 (define @t452 () (@list @t132 @t22 @t25)) % 64.88/65.07 (define @t453 () (@var "V_S_2" $$unsorted)) % 64.88/65.07 (define @t454 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t453)) % 64.88/65.07 (define @t455 () (@list @t453 @t61 @t25)) % 64.88/65.07 (define @t456 () (@list @t38 @t41 @t25)) % 64.88/65.07 (define @t457 () (@list @t41 @t38 @t25)) % 64.88/65.07 (define @t458 () (tptp.c_Orderings_Oord__class_Oless @t345 @t41 @t38)) % 64.88/65.07 (define @t459 () (tptp.tc_fun @t26 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t460 () (@list @t38 @t41 @t121 @t1 @t51 @t2 @t26 @t25)) % 64.88/65.07 (define @t461 () (tptp.tc_fun @t25 @t26)) % 64.88/65.07 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t461 @t2 @t1)) % 64.88/65.07 (define @t463 () (tptp.class_Orderings_Oord @t26)) % 64.88/65.07 (define @t464 () (@list @t1 @t2 @t25 @t26)) % 64.88/65.07 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t359 @t358)) % 64.88/65.07 (define @t466 () (tptp.class_Orderings_Oorder @t25)) % 64.88/65.07 (define @t467 () (= @t432 @t54)) % 64.88/65.07 (define @t468 () (@list @t48 @t47 @t25)) % 64.88/65.07 (define @t469 () (@var "V_c" $$unsorted)) % 64.88/65.07 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t317 @t469)) % 64.88/65.07 (define @t471 () (= @t317 @t315)) % 64.88/65.07 (define @t472 () (tptp.class_Orderings_Oord @t25)) % 64.88/65.07 (define @t473 () (@list @t469 @t315 @t317 @t25)) % 64.88/65.07 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t469 @t317)) % 64.88/65.07 (define @t475 () (= @t315 @t469)) % 64.88/65.07 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t317 @t315)) % 64.88/65.07 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t315 @t317)) % 64.88/65.07 (define @t478 () (@list @t469 @t317 @t315 @t25)) % 64.88/65.07 (define @t479 () (@var "V_z" $$unsorted)) % 64.88/65.07 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t359 @t479)) % 64.88/65.07 (define @t481 () (@list @t479 @t359 @t358 @t25)) % 64.88/65.07 (define @t482 () (@list @t358 @t359 @t25)) % 64.88/65.07 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t479 @t359)) % 64.88/65.07 (define @t484 () (@list @t479 @t358 @t359 @t25)) % 64.88/65.07 (define @t485 () (tptp.c_Orderings_Oord__class_Oless @t25 @t358 @t359)) % 64.88/65.07 (define @t486 () (= @t428 @t54)) % 64.88/65.07 (define @t487 () (not @t485)) % 64.88/65.07 (define @t488 () (tptp.c_Orderings_Oord__class_Oless @t25 @t315 @t317)) % 64.88/65.07 (define @t489 () (tptp.c_Orderings_Oord__class_Oless @t25 @t317 @t315)) % 64.88/65.07 (define @t490 () (@list @t315 @t317 @t25)) % 64.88/65.07 (define @t491 () (@list @t317 @t315 @t25)) % 64.88/65.07 (define @t492 () (tptp.c_Orderings_Oord__class_Oless @t25 @t317 @t469)) % 64.88/65.07 (define @t493 () (tptp.c_Orderings_Oord__class_Oless @t25 @t469 @t317)) % 64.88/65.07 (define @t494 () (tptp.c_Orderings_Oord__class_Oless @t25 @t358 @t479)) % 64.88/65.07 (define @t495 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t359 @t479) @t494)) % 64.88/65.07 (define @t496 () (tptp.c_Orderings_Oord__class_Oless @t25 @t479 @t358)) % 64.88/65.07 (define @t497 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t479 @t359) @t496)) % 64.88/65.07 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t38 @t41)) % 64.88/65.07 (define @t499 () (tptp.c_Product__Type_OPair @t345 @t345 @t41 @t38)) % 64.88/65.07 (define @t500 () (tptp.tc_prod @t345 @t345)) % 64.88/65.07 (define @t501 () (not @t471)) % 64.88/65.07 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t440 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t61 @t453) @t61)) % 64.88/65.07 (define @t503 () (tptp.c_Orderings_Obot__class_Obot @t403)) % 64.88/65.07 (define @t504 () (tptp.c_Product__Type_OPair @t403 @t403 @t412 @t503)) % 64.88/65.07 (define @t505 () (@list @t412)) % 64.88/65.07 (define @t506 () (tptp.c_Orderings_Obot__class_Obot @t345)) % 64.88/65.07 (define @t507 () (tptp.c_Orderings_Obot__class_Obot @t440)) % 64.88/65.07 (define @t508 () (tptp.c_Relation_Orel__comp @t25 @t26 @t84 @t22 @t132)) % 64.88/65.07 (define @t509 () (tptp.tc_prod @t25 @t84)) % 64.88/65.07 (define @t510 () (tptp.tc_prod @t26 @t84)) % 64.88/65.07 (define @t511 () (tptp.c_Set_Oinsert @t25 @t48 @t506)) % 64.88/65.07 (define @t512 () (= @t41 @t506)) % 64.88/65.07 (define @t513 () (@list @t25 @t38 @t41)) % 64.88/65.07 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t443)) % 64.88/65.07 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t38 @t443)) % 64.88/65.07 (define @t516 () (@list @t443 @t38 @t41 @t25)) % 64.88/65.07 (define @t517 () (@var "V_s_H_2" $$unsorted)) % 64.88/65.07 (define @t518 () (@var "V_r_H_2" $$unsorted)) % 64.88/65.07 (define @t519 () (tptp.tc_fun @t509 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t520 () (tptp.c_Orderings_Obot__class_Obot @t25)) % 64.88/65.07 (define @t521 () (tptp.class_Orderings_Obot @t25)) % 64.88/65.07 (define @t522 () (tptp.c_Orderings_Oord__class_Oless @t345 @t41 @t443)) % 64.88/65.07 (define @t523 () (=> (tptp.c_Orderings_Oord__class_Oless @t345 @t38 @t443) @t522)) % 64.88/65.07 (define @t524 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t177 @t22)) % 64.88/65.07 (define @t525 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t22 @t177)) % 64.88/65.07 (define @t526 () (tptp.tc_fun @t26 @t25)) % 64.88/65.07 (define @t527 () (not @t512)) % 64.88/65.07 (define @t528 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t61 @t61)) % 64.88/65.07 (define @t529 () (tptp.c_Set_Oinsert @t25 @t24 @t506)) % 64.88/65.07 (define @t530 () (tptp.c_Set_Oinsert @t25 @t23 @t506)) % 64.88/65.07 (define @t531 () (@list @t61 @t26 @t25)) % 64.88/65.07 (define @t532 () (tptp.c_Orderings_Obot__class_Obot @t445)) % 64.88/65.07 (define @t533 () (@list @t61 @t26 @t84 @t25)) % 64.88/65.07 (define @t534 () (tptp.tc_fun (tptp.tc_prod @t84 @t26) tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t535 () (@var "V_T_2" $$unsorted)) % 64.88/65.07 (define @t536 () (tptp.tc_fun @t28 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t537 () (tptp.c_Orderings_Obot__class_Obot @t536)) % 64.88/65.07 (define @t538 () (= @t24 @t23)) % 64.88/65.07 (define @t539 () (tptp.c_member @t25 @t24 @t530)) % 64.88/65.07 (define @t540 () (@list @t23 @t24 @t25)) % 64.88/65.07 (define @t541 () (tptp.c_Set_Oinsert @t404 (tptp.c_Product__Type_OPair @t403 @t403 @t503 @t503) (tptp.c_Orderings_Obot__class_Obot @t414))) % 64.88/65.07 (define @t542 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t38)) % 64.88/65.07 (define @t543 () (tptp.c_member @t25 @t39 @t542)) % 64.88/65.07 (define @t544 () (@list @t38 @t41 @t39 @t25)) % 64.88/65.07 (define @t545 () (@list @t41 @t38 @t39 @t25)) % 64.88/65.07 (define @t546 () (@var "V_G_2" $$unsorted)) % 64.88/65.07 (define @t547 () (tptp.c_Finite__Set_Ofinite @t25 @t546)) % 64.88/65.07 (define @t548 () (tptp.c_Finite__Set_Ofinite @t25 @t121)) % 64.88/65.07 (define @t549 () (tptp.c_Finite__Set_Ofinite @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t121 @t546))) % 64.88/65.07 (define @t550 () (@list @t546 @t121 @t25)) % 64.88/65.07 (define @t551 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t61 @t453)) % 64.88/65.07 (define @t552 () (tptp.c_Wellfounded_Owf @t25 @t551)) % 64.88/65.07 (define @t553 () (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t41 @t443) @t507)) % 64.88/65.07 (define @t554 () (@list @t38 @t443 @t41 @t25)) % 64.88/65.07 (define @t555 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t22 @t291)) % 64.88/65.07 (define @t556 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t551)) % 64.88/65.07 (define @t557 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t200 @t454)) % 64.88/65.07 (define @t558 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t38 @t443)) % 64.88/65.07 (define @t559 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t443)) % 64.88/65.07 (define @t560 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t558)) % 64.88/65.07 (define @t561 () (tptp.c_member @t25 @t3 @t38)) % 64.88/65.07 (define @t562 () (tptp.c_member @t25 @t3 @t542)) % 64.88/65.07 (define @t563 () (@list @t63 @t38 @t41 @t25)) % 64.88/65.07 (define @t564 () (= @t542 @t38)) % 64.88/65.07 (define @t565 () (tptp.c_Wellfounded_Omax__ext @t25 @t61)) % 64.88/65.07 (define @t566 () (tptp.tc_fun @t500 tptp.tc_HOL_Obool)) % 64.88/65.07 (define @t567 () (tptp.c_Set_Oinsert @t500 (tptp.c_Product__Type_OPair @t345 @t345 @t506 @t506) (tptp.c_Orderings_Obot__class_Obot @t566))) % 64.88/65.07 (define @t568 () (tptp.c_Wellfounded_Omin__ext @t25 @t61)) % 64.88/65.07 (define @t569 () (tptp.hBOOL (tptp.hAPP @t542 @t48))) % 64.88/65.07 (define @t570 () (tptp.hBOOL (tptp.hAPP @t38 @t48))) % 64.88/65.07 (define @t571 () (@var "V_Q_2" $$unsorted)) % 64.88/65.07 (define @t572 () (tptp.hAPP @t571 @t48)) % 64.88/65.07 (define @t573 () (tptp.hBOOL @t572)) % 64.88/65.07 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t63 @t571)) % 64.88/65.07 (define @t575 () (tptp.hBOOL (tptp.hAPP @t572 @t47))) % 64.88/65.07 (define @t576 () (tptp.hBOOL (tptp.hAPP @t68 @t47))) % 64.88/65.07 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t25 @t459) @t63 @t571)) % 64.88/65.07 (define @t578 () (tptp.class_Lattices_Olattice @t25)) % 64.88/65.07 (define @t579 () (tptp.class_Lattices_Osemilattice__sup @t25)) % 64.88/65.07 (define @t580 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t317 @t315)) % 64.88/65.07 (define @t581 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t358 @t359)) % 64.88/65.07 (define @t582 () (= @t581 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t359 @t358))) % 64.88/65.07 (define @t583 () (@var "T_1" $$unsorted)) % 64.88/65.07 (define @t584 () (@var "T_2" $$unsorted)) % 64.88/65.07 (define @t585 () (tptp.tc_fun @t584 @t583)) % 64.88/65.07 (define @t586 () (tptp.class_Lattices_Olattice @t583)) % 64.88/65.07 (define @t587 () (@list @t584 @t583)) % 64.88/65.07 (define @t588 () (and (tptp.class_Finite__Set_Ofinite @t584) (tptp.class_Finite__Set_Ofinite @t583))) % 64.88/65.07 (define @t589 () (@list @t583 @t584)) % 64.88/65.07 (define @t590 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t48) @t47))) % 64.88/65.07 (define @t591 () (tptp.c_member @t10 @t12 (tptp.hAPP tptp.v_F tptp.v_P____))) % 64.88/65.07 (define @t592 () (not @t97)) % 64.88/65.07 (define @t593 () (not @t99)) % 64.88/65.07 (define @t594 () (not @t101)) % 64.88/65.07 (define @t595 () (or @t538 @t594 @t593 @t592 @t94)) % 64.88/65.07 (define @t596 () (or @t594 @t593 @t592 @t94)) % 64.88/65.07 (define @t597 () (or @t593 @t592 @t94)) % 64.88/65.07 (define @t598 () (not @t538)) % 64.88/65.07 (define @t599 () (= @t19 @t591)) % 64.88/65.07 (define @t600 () (forall @t14 (= @t20 @t13))) % 64.88/65.07 (define @t601 () (not @t600)) % 64.88/65.07 (define @t602 () (not @t70)) % 64.88/65.07 (define @t603 () (not @t60)) % 64.88/65.07 (define @t604 () (or @t7 @t603 @t602 @t601 @t599)) % 64.88/65.07 (define @t605 () (forall @t105 @t595)) % 64.88/65.07 (define @t606 () (forall @t14 (= @t13 @t20))) % 64.88/65.07 (define @t607 () (not @t606)) % 64.88/65.07 (define @t608 () (= tptp.v_b____ tptp.v_a____)) % 64.88/65.07 (define @t609 () (or @t608 @t603 @t602 @t607 @t599)) % 64.88/65.07 (define @t610 () (@list false)) % 64.88/65.07 (define @t611 () (@quantifiers_skolemize @t606 0)) % 64.88/65.07 (define @t612 () (tptp.c_member @t10 @t18 (tptp.hAPP @t17 @t611))) % 64.88/65.07 (define @t613 () (tptp.c_member @t10 @t12 (tptp.hAPP tptp.v_P____ @t611))) % 64.88/65.07 (define @t614 () (= @t613 @t612)) % 64.88/65.07 (define @t615 () (@list @t611)) % 64.88/65.07 (define @t616 () (tptp.c_member @t10 @t9 (tptp.hAPP tptp.v_P_H____ @t611))) % 64.88/65.07 (define @t617 () (= @t613 @t616)) % 64.88/65.07 (define @t618 () (not @t617)) % 64.88/65.07 (define @t619 () (not @t613)) % 64.88/65.07 (define @t620 () (forall @t14 (= @t11 @t20))) % 64.88/65.07 (define @t621 () (= @t616 @t612)) % 64.88/65.07 (define @t622 () (= @t612 @t616)) % 64.88/65.07 (define @t623 () (not @t622)) % 64.88/65.07 (define @t624 () (not @t616)) % 64.88/65.07 (define @t625 () (not @t614)) % 64.88/65.07 (define @t626 () (not @t19)) % 64.88/65.07 (define @t627 () (not @t599)) % 64.88/65.07 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 64.88/65.07 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 64.88/65.07 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 64.88/65.07 (assume @p4 (not @t7)) % 64.88/65.07 (assume @p5 (not (= tptp.v_b____ tptp.v_c____))) % 64.88/65.07 (assume @p6 (not (= tptp.v_a____ tptp.v_c____))) % 64.88/65.07 (assume @p7 (forall @t14 (= @t13 @t11))) % 64.88/65.07 (assume @p8 (= @t19 (tptp.c_member @t10 @t9 (tptp.hAPP tptp.v_F tptp.v_P_H____)))) % 64.88/65.07 (assume @p9 @t21) % 64.88/65.07 (assume @p10 (forall @t35 (= @t34 @t29))) % 64.88/65.07 (assume @p11 (forall @t35 (=> @t37 (tptp.c_member @t28 @t27 @t36)))) % 64.88/65.07 (assume @p12 (forall @t35 (=> @t34 @t29))) % 64.88/65.07 (assume @p13 (forall (@list @t39 @t25 @t38 @t41) (=> @t45 (=> (=> @t42 @t44) (not @t43))))) % 64.88/65.07 (assume @p14 (forall @t58 (= (tptp.c_member @t10 @t49 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t46 @t51)) (and @t57 (=> @t52 @t55) (=> @t53 @t50))))) % 64.88/65.07 (assume @p15 (forall @t58 (= (tptp.c_member @t10 @t49 (tptp.c_Arrow__Order__Mirabelle_Omktop @t46 @t51)) (and @t53 (=> @t56 @t55) (=> @t57 @t50))))) % 64.88/65.07 (assume @p16 @t60) % 64.88/65.07 (assume @p17 (forall (@list @t47 @t48 @t61 @t26 @t25) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t25 @t26 @t61) @t48) @t47)) (tptp.c_member @t33 @t62 @t61)))) % 64.88/65.07 (assume @p18 (forall (@list @t25 @t61 @t47 @t65 @t26 @t48 @t63) (=> @t69 (=> (tptp.c_member @t67 (tptp.c_Product__Type_OPair @t26 @t26 @t65 @t47) (tptp.hAPP @t61 @t48)) (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t48 @t65) @t62) @t64))))) % 64.88/65.07 (assume @p19 @t70) % 64.88/65.07 (assume @p20 (tptp.c_member @t59 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.88/65.07 (assume @p21 (forall @t73 (=> @t72 (=> (tptp.c_member @t25 @t24 @t41) @t71)))) % 64.88/65.07 (assume @p22 (forall (@list @t41 @t25 @t47 @t48) (=> @t54 (= @t75 @t74)))) % 64.88/65.07 (assume @p23 (forall (@list @t48 @t25 @t38 @t41) (=> @t45 (= @t75 @t76)))) % 64.88/65.07 (assume @p24 (forall @t78 (= @t75 @t77))) % 64.88/65.07 (assume @p25 (forall (@list @t82 @t83 @t84 @t25 @t26 @t79 @t80 @t81 @t48 @t1 @t2) (=> (= @t87 (tptp.hAPP @t81 (tptp.hAPP @t80 @t79))) (= @t85 (tptp.hAPP (tptp.c_Fun_Ocomp @t83 @t25 @t82 @t81 @t80) @t79))))) % 64.88/65.07 (assume @p26 (forall @t88 (= (tptp.hAPP @t30 @t36) @t22))) % 64.88/65.07 (assume @p27 @t106) % 64.88/65.07 (assume @p28 (forall @t115 (=> @t103 (=> @t114 (=> @t113 (=> @t112 (=> @t101 (=> @t99 (=> @t111 (=> @t93 @t110)))))))))) % 64.88/65.07 (assume @p29 (forall @t115 (=> @t103 (=> @t114 (=> @t113 (=> @t112 (=> @t101 (=> @t99 (=> @t111 (= @t93 @t110)))))))))) % 64.88/65.07 (assume @p30 (forall @t119 (= (tptp.c_Relation_Oirrefl @t25 @t22) (forall @t6 (not @t118))))) % 64.88/65.07 (assume @p31 (forall @t131 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t121) (forall @t6 (=> @t130 (forall @t129 (=> (tptp.c_member @t59 @t120 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t128 (=> (forall @t14 (= @t127 (tptp.c_member @t10 @t124 (tptp.hAPP @t120 @t8)))) (= @t126 (tptp.c_member @t10 @t124 (tptp.hAPP @t121 @t120)))))))))))) % 64.88/65.07 (assume @p32 (forall @t131 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t121) (forall @t6 (=> @t130 (forall @t128 (=> (forall @t14 @t127) @t126))))))) % 64.88/65.07 (assume @p33 (forall (@list @t132 @t22 @t107 @t108 @t24 @t23 @t26 @t25) (= (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t32 @t134) (tptp.c_Wellfounded_Olex__prod @t25 @t26 @t22 @t132)) (or (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t108) @t22) (and @t133 (tptp.c_member @t67 (tptp.c_Product__Type_OPair @t26 @t26 @t24 @t107) @t132)))))) % 64.88/65.07 (assume @p34 (forall (@list @t135 @t121) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t121 @t135) (forall @t6 (=> @t130 (= @t125 (tptp.hAPP @t3 @t135))))))) % 64.88/65.07 (assume @p35 (forall (@list @t22 @t137 @t26 @t25) (=> (tptp.c_member @t33 @t137 @t31) (not (forall @t138 (=> (= @t137 (tptp.c_Product__Type_OPair @t25 @t26 @t136 @t3)) (not (tptp.c_member @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t3 @t136) @t22)))))))) % 64.88/65.07 (assume @p36 (forall @t35 (=> @t37 (tptp.c_member @t26 @t24 @t139)))) % 64.88/65.07 (assume @p37 (forall @t73 (=> @t72 (=> @t71 (tptp.c_member @t117 @t141 @t140))))) % 64.88/65.07 (assume @p38 (forall @t142 (= (tptp.c_Relation_ORange @t25 @t25 @t140) @t41))) % 64.88/65.07 (assume @p39 (forall @t142 (= (tptp.hAPP @t143 @t140) @t140))) % 64.88/65.07 (assume @p40 (forall @t146 (= (tptp.c_member @t25 @t23 @t145) (exists @t144 (tptp.c_member @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t136 @t23) @t22))))) % 64.88/65.07 (assume @p41 (forall @t148 (= (tptp.c_member @t117 @t147 @t140) (and @t54 @t75)))) % 64.88/65.07 (assume @p42 (forall (@list @t41 @t39 @t25) (=> (tptp.c_member @t117 @t39 @t140) (not (forall @t6 (=> @t149 (not (= @t39 @t116)))))))) % 64.88/65.07 (assume @p43 (forall (@list @t22 @t26 @t24 @t25) (=> (tptp.c_member @t25 @t24 @t145) (not (forall @t6 (not (tptp.c_member @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t3 @t24) @t22))))))) % 64.88/65.07 (assume @p44 (forall @t35 (=> @t37 @t151))) % 64.88/65.07 (assume @p45 (forall @t119 (= (tptp.c_Nitpick_Orefl_H @t25 @t22) (forall @t6 @t118)))) % 64.88/65.07 (assume @p46 (forall @t155 (= @t154 (forall @t6 (=> (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t23) @t22) @t153))))) % 64.88/65.07 (assume @p47 (forall (@list @t23 @t22 @t24 @t25) (=> @t157 (=> @t156 @t154)))) % 64.88/65.07 (assume @p48 (forall @t159 (= @t158 (forall @t6 (=> @t149 (forall @t129 (=> (tptp.c_member @t25 @t120 @t41) (=> (not (= @t3 @t120)) (or (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t120) @t22) (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t120 @t3) @t22)))))))))) % 64.88/65.07 (assume @p49 (forall (@list @t2 @t22 @t26 @t47 @t48 @t25) (= (tptp.c_member @t117 @t147 (tptp.hAPP (tptp.c_Relation_Oinv__image @t26 @t25 @t22) @t2)) (tptp.c_member @t67 (tptp.c_Product__Type_OPair @t26 @t26 @t161 @t160) @t22)))) % 64.88/65.07 (assume @p50 (forall (@list @t23 @t22 @t41 @t25) (=> @t164 (=> @t71 @t163)))) % 64.88/65.07 (assume @p51 (forall @t166 (=> @t164 (=> @t165 @t75)))) % 64.88/65.07 (assume @p52 (forall @t159 (= (tptp.c_Relation_Orefl__on @t25 @t41 @t167) @t164))) % 64.88/65.07 (assume @p53 (forall @t142 (= (tptp.c_Relation_ODomain @t25 @t25 @t140) @t41))) % 64.88/65.07 (assume @p54 (forall @t142 (tptp.c_Relation_Orefl__on @t25 @t41 @t140))) % 64.88/65.07 (assume @p55 (forall (@list @t2 @t61 @t26 @t25) (= (tptp.hAPP @t143 (tptp.hAPP (tptp.c_Relation_Oinv__image @t26 @t25 @t61) @t2)) (tptp.hAPP (tptp.c_Relation_Oinv__image @t26 @t25 (tptp.hAPP (tptp.c_Relation_Oconverse @t26 @t26) @t61)) @t2)))) % 64.88/65.07 (assume @p56 (forall @t159 (= (tptp.c_Relation_Ototal__on @t25 @t41 @t167) @t158))) % 64.88/65.07 (assume @p57 (forall @t88 (= (tptp.c_Relation_ORange @t26 @t25 @t36) @t150))) % 64.88/65.07 (assume @p58 (forall @t169 (= @t168 @t145))) % 64.88/65.07 (assume @p59 (forall @t88 (= @t145 @t168))) % 64.88/65.07 (assume @p60 (forall @t146 (= @t151 (exists @t144 @t170)))) % 64.88/65.07 (assume @p61 (forall @t166 (=> @t164 (=> @t165 @t74)))) % 64.88/65.07 (assume @p62 (forall @t146 (=> @t151 (not (forall @t144 (not @t170)))))) % 64.88/65.07 (assume @p63 (forall (@list @t61 @t48 @t25) (=> (not (tptp.c_member @t25 @t48 @t171)) (not (forall @t174 (=> @t173 (tptp.c_member @t25 @t172 @t171))))))) % 64.88/65.07 (assume @p64 (forall (@list @t22 @t48 @t25) (=> (forall @t144 (=> @t176 (tptp.c_member @t25 @t136 @t152))) @t175))) % 64.88/65.07 (assume @p65 (forall (@list @t22 @t23 @t24 @t25) (=> @t179 (=> @t154 @t157)))) % 64.88/65.07 (assume @p66 (forall (@list @t24 @t22 @t23 @t25) (=> @t154 (=> @t179 @t157)))) % 64.88/65.07 (assume @p67 (forall @t187 (= (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t61 @t121 @t181 @t185) (exists @t186 (and (= @t185 @t183) @t182))))) % 64.88/65.07 (assume @p68 (forall (@list @t24 @t23 @t46) (=> @t188 (=> (tptp.c_member @t10 @t92 @t46) (not (tptp.c_member @t10 @t91 @t46)))))) % 64.88/65.07 (assume @p69 (forall (@list @t47 @t48 @t46) (=> @t188 (=> @t55 (= (not @t50) (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t47 @t48) @t46)))))) % 64.88/65.07 (assume @p70 (forall (@list @t190 @t39 @t83 @t24 @t23 @t25 @t26 @t84) (=> @t192 (forall (@list @t189) (= (tptp.hAPP @t23 (tptp.hAPP @t24 @t189)) (tptp.hAPP @t39 (tptp.hAPP @t190 @t189))))))) % 64.88/65.07 (assume @p71 (forall (@list @t46) (= (tptp.c_member @t16 (tptp.hAPP @t15 @t46) tptp.c_Arrow__Order__Mirabelle_OLin) @t188))) % 64.88/65.07 (assume @p72 (forall @t193 (=> @t188 (tptp.c_member @t16 (tptp.c_Arrow__Order__Mirabelle_Omktop @t46 @t48) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.88/65.07 (assume @p73 (forall @t193 (=> @t188 (tptp.c_member @t16 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t46 @t48) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.88/65.07 (assume @p74 (forall (@list @t194 @t1 @t83 @t2 @t25 @t26 @t84) (= (tptp.c_Fun_Ocomp @t84 @t26 @t25 @t2 (tptp.c_Fun_Ocomp @t83 @t84 @t25 @t1 @t194)) (tptp.c_Fun_Ocomp @t83 @t26 @t25 (tptp.c_Fun_Ocomp @t84 @t26 @t83 @t2 @t1) @t194)))) % 64.88/65.07 (assume @p75 (forall (@list @t48 @t1 @t2 @t84 @t25 @t26) (= @t85 @t87))) % 64.88/65.07 (assume @p76 (forall (@list @t195 @t190 @t39 @t83 @t24 @t23 @t25 @t26 @t84) (=> @t192 (= @t196 (tptp.hAPP @t39 (tptp.hAPP @t190 @t195)))))) % 64.88/65.07 (assume @p77 (forall @t155 (tptp.c_member @t117 @t162 @t177))) % 64.88/65.07 (assume @p78 (forall @t199 (=> @t198 (tptp.c_member @t117 @t197 @t177)))) % 64.88/65.07 (assume @p79 (forall (@list @t47 @t61 @t48 @t25) (=> (not (tptp.c_member @t25 @t48 (tptp.c_Relation_ODomain @t25 @t25 @t61))) (= @t201 @t54)))) % 64.88/65.07 (assume @p80 (forall @t205 (=> @t103 (=> @t188 (= (tptp.c_member @t10 @t49 (tptp.c_Arrow__Order__Mirabelle_Oabove @t46 @t23 @t24)) (and @t55 (=> @t204 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t23 @t47) @t46)) (=> (not @t204) (and (=> @t202 (or @t203 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t48 @t23) @t46))) (=> (not @t202) @t50))))))))) % 64.88/65.07 (assume @p81 (forall @t205 (=> @t103 (=> @t188 (= (tptp.c_member @t10 @t49 (tptp.c_Arrow__Order__Mirabelle_Obelow @t46 @t23 @t24)) (and @t55 (=> @t206 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t48 @t24) @t46)) (=> (not @t206) (and (=> @t203 (or @t202 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t24 @t47) @t46))) (=> (not @t203) @t50))))))))) % 64.88/65.07 (assume @p82 (forall @t211 (=> @t210 @t208))) % 64.88/65.07 (assume @p83 (forall @t212 (=> @t208 @t210))) % 64.88/65.07 (assume @p84 (forall @t218 (=> @t156 @t217))) % 64.88/65.07 (assume @p85 (forall @t119 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t177) @t177))) % 64.88/65.07 (assume @p86 (forall @t119 (= @t207 (tptp.hAPP @t143 @t177)))) % 64.88/65.07 (assume @p87 (forall @t219 (=> @t55 (=> @t188 (tptp.c_member @t16 (tptp.c_Arrow__Order__Mirabelle_Obelow @t46 @t48 @t47) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.88/65.07 (assume @p88 (forall @t219 (=> @t55 (=> @t188 (tptp.c_member @t16 (tptp.c_Arrow__Order__Mirabelle_Oabove @t46 @t48 @t47) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.88/65.07 (assume @p89 (forall @t218 (=> @t220 @t217))) % 64.88/65.07 (assume @p90 (forall @t218 (=> @t220 (=> @t221 @t214)))) % 64.88/65.07 (assume @p91 (forall (@list @t51 @t47 @t48 @t22 @t25) (=> (tptp.c_Relation_Osingle__valued @t25 @t25 @t22) (=> @t225 (=> @t224 (or (tptp.c_member @t117 @t222 @t177) (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t51 @t47) @t177))))))) % 64.88/65.07 (assume @p92 (forall (@list @t24 @t23) (=> @t103 (exists @t6 (and (tptp.c_member @t16 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t10 @t92 @t3)))))) % 64.88/65.07 (assume @p93 (forall @t243 (=> @t242 (=> @t240 (=> (forall @t128 (=> (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t239 @t234) @t236) (forall (@list @t230 @t229) (=> @t235 (=> @t232 @t231))))) @t228))))) % 64.88/65.07 (assume @p94 (forall @t243 (=> @t242 (=> @t228 (=> (forall (@list @t123 @t122 @t230 @t229) (=> @t235 (=> (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t233 @t241) @t236) (=> @t231 @t232)))) @t240))))) % 64.88/65.07 (assume @p95 (forall (@list @t22 @t244 @t245 @t247 @t248 @t26 @t25) (=> (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t249 @t246) @t236) (=> (not (= @t249 @t246)) (not (forall @t128 (=> (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t249 @t234) @t22) (not (tptp.c_member @t66 (tptp.c_Product__Type_OPair @t33 @t33 @t234 @t246) @t236))))))))) % 64.88/65.07 (assume @p96 (forall (@list @t1 @t121 @t26 @t61 @t48 @t25) (=> (forall @t174 (=> @t173 (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t61 @t121 @t172 (tptp.hAPP @t1 @t172)))) (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t61 @t121 @t48 (tptp.hAPP (tptp.hAPP @t121 @t1) @t48))))) % 64.88/65.07 (assume @p97 (forall @t187 (= (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t61 @t121 @t181 @t184) (exists @t186 (and (= @t184 @t183) @t182))))) % 64.88/65.07 (assume @p98 (forall @t251 (=> @t220 (=> @t103 (not (forall @t144 (=> @t250 (not (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t136 @t24) @t22))))))))) % 64.88/65.07 (assume @p99 (forall @t142 (tptp.c_Relation_Osingle__valued @t25 @t25 @t140))) % 64.88/65.07 (assume @p100 (forall @t169 (= @t253 @t252))) % 64.88/65.07 (assume @p101 (forall (@list @t51 @t47 @t48 @t22 @t26 @t25) (=> @t253 (=> (tptp.c_member @t33 @t62 @t22) (=> (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t48 @t51) @t22) @t56))))) % 64.88/65.07 (assume @p102 (forall @t169 (=> @t252 @t253))) % 64.88/65.07 (assume @p103 (forall @t259 (=> @t220 (=> @t258 (=> (forall @t144 (=> @t250 (forall @t174 (=> @t257 (=> @t256 @t255))))) @t254))))) % 64.88/65.07 (assume @p104 (forall @t259 (=> @t220 (=> @t254 (=> (forall (@list @t136 @t172) (=> @t257 (=> (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t172 @t24) @t177) (=> @t255 @t256)))) @t258))))) % 64.88/65.07 (assume @p105 (forall @t262 (=> @t224 (=> @t53 (not (forall @t144 (=> @t261 (not (tptp.c_member @t117 @t260 @t177))))))))) % 64.88/65.07 (assume @p106 (forall @t251 (=> @t264 @t220))) % 64.88/65.07 (assume @p107 (forall (@list @t195 @t39 @t24 @t23 @t25 @t26 @t84) (=> (= @t191 @t39) (= @t196 (tptp.hAPP @t39 @t195))))) % 64.88/65.07 (assume @p108 (forall (@list @t26 @t23 @t48 @t25 @t265 @t266) (=> (tptp.c_member @t117 @t267 @t266) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t25 @t26 @t265 @t266 @t23) @t48) (tptp.hAPP @t265 @t48))))) % 64.88/65.07 (assume @p109 (forall @t251 (=> @t156 @t264))) % 64.88/65.07 (assume @p110 (forall @t199 (=> @t198 @t268))) % 64.88/65.07 (assume @p111 (forall @t270 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t269) @t200))) % 64.88/65.07 (assume @p112 (forall @t270 (= (tptp.c_Transitive__Closure_Otrancl @t25 @t200) @t200))) % 64.88/65.07 (assume @p113 (forall @t119 (= @t272 @t271))) % 64.88/65.07 (assume @p114 (forall @t119 (= (tptp.c_Relation_ODomain @t25 @t25 @t263) (tptp.c_Relation_ODomain @t25 @t25 @t22)))) % 64.88/65.07 (assume @p115 (forall @t119 (= (tptp.c_Relation_ORange @t25 @t25 @t263) (tptp.c_Relation_ORange @t25 @t25 @t22)))) % 64.88/65.07 (assume @p116 (forall @t218 (=> @t264 @t274))) % 64.88/65.07 (assume @p117 (forall @t218 (=> @t264 @t275))) % 64.88/65.07 (assume @p118 (forall @t218 (=> @t156 @t274))) % 64.88/65.07 (assume @p119 (forall (@list @t39 @t61 @t24 @t23 @t25) (=> (tptp.c_member @t117 @t141 @t61) (=> (tptp.c_member @t117 @t215 @t61) (tptp.c_member @t117 @t213 @t269))))) % 64.88/65.07 (assume @p120 (forall (@list @t51 @t22 @t47 @t48 @t25) (=> @t225 (=> (tptp.c_member @t117 @t222 @t263) @t276)))) % 64.88/65.07 (assume @p121 (forall @t218 (=> @t264 @t277))) % 64.88/65.07 (assume @p122 (forall @t218 (=> @t220 @t275))) % 64.88/65.07 (assume @p123 (forall (@list @t61 @t24 @t23 @t25) (=> (tptp.c_member @t117 @t141 @t200) (or @t72 (and @t103 (tptp.c_member @t117 @t141 @t269)))))) % 64.88/65.07 (assume @p124 (forall @t218 (=> @t156 @t277))) % 64.88/65.07 (assume @p125 (forall @t279 (= @t201 (or @t54 (and @t55 @t278))))) % 64.88/65.07 (assume @p126 (forall @t212 (=> @t281 @t280))) % 64.88/65.07 (assume @p127 (forall @t212 (=> @t280 @t281))) % 64.88/65.07 (assume @p128 (forall (@list @t2 @t26 @t22 @t23 @t48 @t25) (=> @t283 (= (tptp.hAPP @t282 @t48) @t161)))) % 64.88/65.07 (assume @p129 (forall (@list @t1 @t48 @t22 @t2 @t26 @t25) (= (= (tptp.c_Recdef_Ocut @t25 @t26 @t2 @t22 @t48) (tptp.c_Recdef_Ocut @t25 @t26 @t1 @t22 @t48)) (forall @t144 (=> @t176 (= (tptp.hAPP @t2 @t136) (tptp.hAPP @t1 @t136))))))) % 64.88/65.07 (assume @p130 (forall @t279 (=> @t278 (exists @t174 (and (tptp.c_member @t117 @t285 @t61) (tptp.c_member @t117 @t284 @t200)))))) % 64.88/65.07 (assume @p131 (forall @t279 (=> @t278 (exists @t174 (and (tptp.c_member @t117 @t285 @t200) (tptp.c_member @t117 @t284 @t61)))))) % 64.88/65.07 (assume @p132 (forall @t119 (= @t287 @t286))) % 64.88/65.07 (assume @p133 (forall @t251 (=> @t264 (=> (not @t156) (not (forall (@list @t288) (=> (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t288) @t263) (not (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t288 @t24) @t22))))))))) % 64.88/65.07 (assume @p134 (forall @t262 (=> @t276 (=> (not (tptp.c_member @t117 @t223 @t22)) (not (forall @t144 (=> @t261 (not (tptp.c_member @t117 @t260 @t263))))))))) % 64.88/65.07 (assume @p135 (forall (@list @t47 @t48 @t22 @t25) (=> @t286 (=> @t165 @t55)))) % 64.88/65.07 (assume @p136 (forall (@list @t48 @t121 @t61 @t25 @t26) (= (tptp.c_Nitpick_Owf__wfrec_H @t26 @t25 @t61 @t121 @t48) (tptp.hAPP (tptp.hAPP @t121 (tptp.c_Recdef_Ocut @t26 @t25 (tptp.c_Nitpick_Owf__wfrec @t26 @t25 @t61 @t121) @t61 @t48)) @t48)))) % 64.88/65.07 (assume @p137 (forall @t119 (= (tptp.c_Wellfounded_Oacyclic @t25 @t167) @t287))) % 64.88/65.07 (assume @p138 (forall @t119 (=> @t286 @t287))) % 64.88/65.07 (assume @p139 (forall @t211 (= (tptp.c_Wellfounded_Oacyclic @t25 @t290) (and @t287 @t289)))) % 64.88/65.07 (assume @p140 (forall @t119 (=> @t287 (tptp.c_Relation_Oantisym @t25 @t177)))) % 64.88/65.07 (assume @p141 (forall @t292 (tptp.c_member @t117 @t162 @t291))) % 64.88/65.07 (assume @p142 (exists (@list @t293) (tptp.c_member @t16 @t293 tptp.c_Arrow__Order__Mirabelle_OLin))) % 64.88/65.07 (assume @p143 (forall (@list @t26 @t25 @t63) (= (forall (@list @t294) (tptp.hBOOL (tptp.hAPP @t63 @t294))) (forall @t128 (tptp.hBOOL (tptp.hAPP @t63 @t234)))))) % 64.88/65.07 (assume @p144 (forall @t298 (=> (=> (not @t297) @t72) @t296))) % 64.88/65.07 (assume @p145 (forall @t300 (=> @t299 (=> @t103 @t71)))) % 64.88/65.07 (assume @p146 (forall (@list @t48 @t41 @t47 @t25) (= (tptp.hBOOL (tptp.hAPP @t301 @t48)) (or (= @t47 @t48) @t77)))) % 64.88/65.07 (assume @p147 (forall @t148 (= (tptp.c_Set_Oinsert @t25 @t48 @t301) (tptp.c_Set_Oinsert @t25 @t47 @t302)))) % 64.88/65.07 (assume @p148 (forall @t78 (= (tptp.c_Set_Oinsert @t25 @t48 @t302) @t302))) % 64.88/65.07 (assume @p149 (forall @t303 (tptp.c_Relation_Oantisym @t25 @t291))) % 64.88/65.07 (assume @p150 (forall @t35 (= (tptp.c_Relation_ODomain @t25 @t26 (tptp.c_Set_Oinsert @t33 @t32 @t22)) (tptp.c_Set_Oinsert @t25 @t23 @t150)))) % 64.88/65.07 (assume @p151 (forall (@list @t22 @t24 @t23 @t25 @t26) (= (tptp.c_Relation_ORange @t26 @t25 (tptp.c_Set_Oinsert @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t23 @t24) @t22)) (tptp.c_Set_Oinsert @t25 @t24 @t145)))) % 64.88/65.07 (assume @p152 (forall @t305 (=> @t71 (= @t304 @t41)))) % 64.88/65.07 (assume @p153 (forall @t298 (=> @t297 @t296))) % 64.88/65.07 (assume @p154 (forall @t308 (=> @t307 (=> (not @t76) (= (= @t302 @t306) @t45))))) % 64.88/65.07 (assume @p155 (forall @t300 (= @t299 (or @t72 @t71)))) % 64.88/65.07 (assume @p156 (forall (@list @t38 @t23 @t25) (tptp.c_member @t25 @t23 @t309))) % 64.88/65.07 (assume @p157 (forall @t303 (= (tptp.hAPP @t143 @t291) @t291))) % 64.88/65.07 (assume @p158 (forall @t303 (tptp.c_Relation_Osingle__valued @t25 @t25 @t291))) % 64.88/65.07 (assume @p159 (forall @t119 (= (tptp.c_Relation_Oantisym @t25 @t167) @t310))) % 64.88/65.07 (assume @p160 (forall @t142 (tptp.c_Relation_Oantisym @t25 @t140))) % 64.88/65.07 (assume @p161 (forall @t311 (= (tptp.c_member @t117 @t141 @t291) @t72))) % 64.88/65.07 (assume @p162 (forall (@list @t24 @t23 @t22 @t25) (=> @t310 (=> @t156 (=> (tptp.c_member @t117 @t178 @t22) @t72))))) % 64.88/65.07 (assume @p163 (forall @t119 (= @t310 @t313))) % 64.88/65.07 (assume @p164 (forall (@list @t314 @t316 @t315 @t317 @t26 @t25) (=> (= (tptp.c_Product__Type_OPair @t25 @t26 @t317 @t315) (tptp.c_Product__Type_OPair @t25 @t26 @t316 @t314)) (not (=> (= @t317 @t316) (not (= @t315 @t314))))))) % 64.88/65.07 (assume @p165 (forall (@list @t107 @t108 @t24 @t23 @t26 @t25) (= (= @t32 @t134) (and @t133 (= @t24 @t107))))) % 64.88/65.07 (assume @p166 (forall (@list @t24 @t23 @t318 @t25 @t84 @t26) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t26 @t84 @t25 @t318 @t319) (tptp.hAPP (tptp.hAPP @t318 @t23) @t24)))) % 64.88/65.07 (assume @p167 (forall (@list @t197 @t25) (=> (tptp.c_member @t117 @t197 @t291) (not (forall @t6 (not (= @t197 @t116))))))) % 64.88/65.07 (assume @p168 (forall (@list @t24 @t23 @t39 @t25 @t84 @t26) (= (tptp.c_Product__Type_Ointernal__split @t26 @t84 @t25 @t39 @t319) (tptp.hAPP (tptp.hAPP @t39 @t23) @t24)))) % 64.88/65.07 (assume @p169 (forall @t211 (= (tptp.c_Wellfounded_Owf @t25 @t290) (and @t320 @t289)))) % 64.88/65.07 (assume @p170 (forall @t119 (=> @t313 @t310))) % 64.88/65.07 (assume @p171 (forall (@list @t24 @t23 @t26 @t25 @t2) (=> @t322 @t321))) % 64.88/65.07 (assume @p172 (forall (@list @t2 @t26 @t22 @t25) (=> @t320 (tptp.c_Wellfounded_Owf @t26 (tptp.hAPP (tptp.c_Relation_Oinv__image @t25 @t26 @t22) @t2))))) % 64.88/65.07 (assume @p173 (forall (@list @t323 @t26 @t324 @t25) (=> (tptp.c_Wellfounded_Owf @t25 @t324) (=> (tptp.c_Wellfounded_Owf @t26 @t323) (tptp.c_Wellfounded_Owf @t33 (tptp.c_Wellfounded_Olex__prod @t25 @t26 @t324 @t323)))))) % 64.88/65.07 (assume @p174 (forall @t119 (=> @t320 (tptp.c_Wellfounded_Owf @t25 @t263)))) % 64.88/65.07 (assume @p175 (forall @t119 (=> @t320 @t287))) % 64.88/65.07 (assume @p176 (forall (@list @t23 @t22 @t25) (=> @t320 (not @t163)))) % 64.88/65.07 (assume @p177 (forall (@list @t48 @t23 @t22 @t25) (=> @t320 (=> (tptp.c_member @t117 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t48) @t22) (not @t283))))) % 64.88/65.07 (assume @p178 (forall @t119 (= @t320 @t325))) % 64.88/65.07 (assume @p179 (forall (@list @t48 @t22 @t25) (=> @t320 @t175))) % 64.88/65.07 (assume @p180 (forall @t119 (=> @t326 (tptp.c_Wellfounded_Owf @t25 @t271)))) % 64.88/65.07 (assume @p181 (forall (@list @t24 @t23 @t2 @t26 @t25) (=> @t321 @t322))) % 64.88/65.07 (assume @p182 (forall (@list @t24 @t23 @t2 @t25 @t84 @t26) (= (tptp.c_Product__Type_Ocurry @t26 @t84 @t25 @t2 @t23 @t24) (tptp.hAPP @t2 @t319)))) % 64.88/65.07 (assume @p183 (forall (@list @t2 @t25) (tptp.c_Wellfounded_Owf @t25 @t328))) % 64.88/65.07 (assume @p184 (forall (@list @t26 @t25 @t329 @t266) (=> (tptp.c_Wellfounded_Owf @t25 @t266) (forall @t6 (= (tptp.hAPP @t330 @t3) (tptp.hAPP (tptp.hAPP @t329 (tptp.c_Recdef_Ocut @t25 @t26 @t330 @t266 @t3)) @t3)))))) % 64.88/65.07 (assume @p185 (forall (@list @t23 @t331 @t26 @t22 @t25) (=> @t320 (= (tptp.hAPP @t332 @t23) (tptp.hAPP (tptp.hAPP @t331 (tptp.c_Recdef_Ocut @t25 @t26 @t332 @t22 @t23)) @t23))))) % 64.88/65.07 (assume @p186 (forall (@list @t23 @t331 @t22 @t26 @t25 @t2) (=> (= @t2 @t332) (=> @t320 (= (tptp.hAPP @t2 @t23) (tptp.hAPP (tptp.hAPP @t331 @t282) @t23)))))) % 64.88/65.07 (assume @p187 (forall @t119 (= @t320 (forall (@list @t333) (=> (exists @t6 @t334) (exists @t6 (and @t334 (forall @t144 (=> @t312 (not (tptp.c_member @t25 @t136 @t333))))))))))) % 64.88/65.07 (assume @p188 (forall (@list @t25 @t61 @t26 @t63) (=> (forall @t6 (=> @t335 (tptp.c_Wellfounded_Owf @t26 (tptp.hAPP @t61 @t3)))) (tptp.c_Wellfounded_Owf @t33 @t64)))) % 64.88/65.07 (assume @p189 (forall @t270 (=> @t336 (tptp.c_Wellfounded_OwfP @t25 (tptp.c_FunDef_Oin__rel @t25 @t25 @t61))))) % 64.88/65.07 (assume @p190 (forall @t119 (=> @t325 @t320))) % 64.88/65.07 (assume @p191 (forall (@list @t2 @t47 @t48 @t25) (= (tptp.c_member @t117 @t147 @t328) @t337))) % 64.88/65.07 (assume @p192 (forall @t303 (= @t327 (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t25 tptp.c_Wellfounded_Oless__than)))) % 64.88/65.07 (assume @p193 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 64.88/65.07 (assume @p194 (forall @t339 (= (tptp.c_member @t338 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t48 @t47) tptp.c_Wellfounded_Oless__than) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t48 @t47)))) % 64.88/65.07 (assume @p195 (forall @t342 (=> @t337 @t341))) % 64.88/65.07 (assume @p196 (= tptp.c_Wellfounded_Oless__than @t343)) % 64.88/65.07 (assume @p197 (forall @t119 (=> @t344 (=> @t287 @t326)))) % 64.88/65.07 (assume @p198 (forall @t119 (=> @t320 (tptp.c_Wellfounded_Owf @t345 (tptp.c_Wellfounded_Omin__ext @t25 @t22))))) % 64.88/65.07 (assume @p199 (forall (@list @t63 @t347 @t346) (=> (=> @t351 @t348) (=> (=> @t350 @t348) (=> (=> @t349 @t348) @t348))))) % 64.88/65.07 (assume @p200 (forall @t169 (=> @t352 (tptp.c_Finite__Set_Ofinite @t25 @t150)))) % 64.88/65.07 (assume @p201 (forall @t169 (=> @t352 (tptp.c_Finite__Set_Ofinite @t26 @t139)))) % 64.88/65.07 (assume @p202 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 64.88/65.07 (assume @p203 (forall @t119 (= (tptp.c_Finite__Set_Ofinite @t117 @t263) @t344))) % 64.88/65.07 (assume @p204 (forall @t169 (= (tptp.c_Finite__Set_Ofinite @t33 @t31) (tptp.c_Finite__Set_Ofinite @t28 @t22)))) % 64.88/65.07 (assume @p205 (forall @t119 (=> @t344 (= @t320 @t287)))) % 64.88/65.07 (assume @p206 (forall @t119 (=> @t344 (=> @t287 @t320)))) % 64.88/65.07 (assume @p207 (forall @t354 (= (tptp.c_member @t338 @t353 @t343) @t351))) % 64.88/65.07 (assume @p208 (forall (@list @t2 @t61 @t25) (=> @t336 (tptp.c_Wellfounded_Owf @t25 @t340)))) % 64.88/65.07 (assume @p209 (forall @t356 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t355 @t355)))) % 64.88/65.07 (assume @p210 (forall @t354 (= @t357 (or @t351 @t349)))) % 64.88/65.07 (assume @p211 (forall @t363 (=> @t362 (=> (not @t360) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t359 @t358))))) % 64.88/65.07 (assume @p212 (forall (@list @t364 @t355) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t355 @t364) @t366))) % 64.88/65.07 (assume @p213 (forall (@list @t367 @t368) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t367) (not (= @t368 @t367))))) % 64.88/65.07 (assume @p214 (forall (@list @t23 @t41 @t25) (=> @t370 @t369))) % 64.88/65.07 (assume @p215 (forall @t119 (= (tptp.c_Nitpick_Owf_H @t25 @t22) (and @t287 (or @t344 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 64.88/65.07 (assume @p216 (forall @t305 (= @t369 @t370))) % 64.88/65.07 (assume @p217 (forall @t303 (tptp.c_Wellfounded_Owf @t345 @t371))) % 64.88/65.07 (assume @p218 (forall @t119 (=> @t320 (tptp.c_Wellfounded_Owf @t345 (tptp.c_Wellfounded_Omax__ext @t25 @t22))))) % 64.88/65.07 (assume @p219 (forall @t142 (=> (tptp.class_Finite__Set_Ofinite @t25) @t370))) % 64.88/65.07 (assume @p220 (forall @t377 (=> @t376 (=> @t370 @t375)))) % 64.88/65.07 (assume @p221 (forall @t377 (=> @t376 (=> @t370 (=> @t75 (= @t373 @t372)))))) % 64.88/65.07 (assume @p222 (forall @t377 (=> @t378 (=> @t370 (=> @t307 @t375))))) % 64.88/65.07 (assume @p223 (forall @t384 (=> @t383 (=> @t382 (=> (not @t381) @t380))))) % 64.88/65.07 (assume @p224 (forall (@list @t194 @t1 @t385 @t2 @t84 @t83 @t82 @t121 @t386 @t26 @t25) (=> (tptp.c_Finite__Set_Ofolding @t25 @t26 @t386 @t121) (= (tptp.c_Fun_Ocomp @t82 @t83 @t84 @t2 (tptp.c_Fun_Ocomp @t385 @t82 @t84 @t1 @t194)) (tptp.c_Fun_Ocomp @t385 @t83 @t84 (tptp.c_Fun_Ocomp @t82 @t83 @t385 @t2 @t1) @t194))))) % 64.88/65.07 (assume @p225 (forall (@list @t48 @t47 @t121 @t2 @t26 @t25) (=> @t378 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t160 @t161) (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t161 @t160))))) % 64.88/65.07 (assume @p226 (forall (@list @t1 @t48 @t47 @t84 @t121 @t2 @t26 @t25) (=> @t378 (= (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t160 @t387) (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t161 (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t160 @t1)))))) % 64.88/65.07 (assume @p227 (forall (@list @t48 @t121 @t2 @t26 @t25) (=> @t376 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t161 @t161) @t161)))) % 64.88/65.07 (assume @p228 (forall (@list @t1 @t48 @t84 @t121 @t2 @t26 @t25) (=> @t376 (= (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t161 @t387) @t387)))) % 64.88/65.07 (assume @p229 (forall (@list @t1 @t84 @t38 @t41 @t121 @t2 @t26 @t25) (=> @t378 (=> @t370 (=> @t390 (= (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t388 @t389) (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t372 (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t388 @t1)))))))) % 64.88/65.07 (assume @p230 (forall @t392 (=> @t378 (=> @t370 (=> @t390 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t388 @t372) @t391)))))) % 64.88/65.07 (assume @p231 (forall (@list @t1 @t48 @t84 @t41 @t121 @t2 @t26 @t25) (=> @t378 (=> @t370 (= (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t161 @t389) (tptp.c_Fun_Ocomp @t26 @t26 @t84 @t372 @t387)))))) % 64.88/65.07 (assume @p232 (forall @t377 (=> @t378 (=> @t370 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t161 @t372) @t373))))) % 64.88/65.07 (assume @p233 (forall @t398 (=> @t397 @t396))) % 64.88/65.07 (assume @p234 (forall @t384 (=> @t399 (=> @t382 @t380)))) % 64.88/65.07 (assume @p235 (forall @t384 (=> @t399 (=> @t382 (=> @t381 (= @t379 @t372)))))) % 64.88/65.07 (assume @p236 (forall @t398 (=> @t397 @t400))) % 64.88/65.07 (assume @p237 (tptp.c_Wellfounded_Owf @t338 tptp.c_FunDef_Opair__less)) % 64.88/65.07 (assume @p238 (forall (@list @t48 @t121 @t1 @t51 @t2 @t26 @t25) (=> @t399 (= (tptp.hAPP @t161 @t48) @t48)))) % 64.88/65.07 (assume @p239 (= 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))) % 64.88/65.07 (assume @p240 (forall (@list @t402 @t48 @t401 @t47) (=> (tptp.c_member @t338 @t47 @t401) (=> @t407 (=> (tptp.c_member @t404 @t405 tptp.c_FunDef_Omax__weak) (tptp.c_member @t404 (tptp.c_Product__Type_OPair @t403 @t403 (tptp.c_Set_Oinsert @t338 @t48 @t402) @t401) tptp.c_FunDef_Omax__weak)))))) % 64.88/65.07 (assume @p241 (forall @t410 (=> @t409 (=> @t407 (=> (tptp.c_member @t404 @t405 tptp.c_FunDef_Omin__weak) (tptp.c_member @t404 @t408 tptp.c_FunDef_Omin__weak)))))) % 64.88/65.07 (assume @p242 (forall (@list @t412 @t48 @t411 @t47) (=> (tptp.c_member @t338 @t47 @t411) (=> @t413 (=> (tptp.c_member @t404 (tptp.c_Product__Type_OPair @t403 @t403 @t412 @t411) tptp.c_FunDef_Omax__strict) (tptp.c_member @t404 (tptp.c_Product__Type_OPair @t403 @t403 (tptp.c_Set_Oinsert @t338 @t48 @t412) @t411) tptp.c_FunDef_Omax__strict)))))) % 64.88/65.07 (assume @p243 (forall @t410 (=> @t409 (=> @t413 (=> (tptp.c_member @t404 @t405 tptp.c_FunDef_Omin__strict) (tptp.c_member @t404 @t408 tptp.c_FunDef_Omin__strict)))))) % 64.88/65.07 (assume @p244 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t338 tptp.c_FunDef_Opair__less))) % 64.88/65.07 (assume @p245 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t338 tptp.c_FunDef_Opair__less))) % 64.88/65.07 (assume @p246 (tptp.c_FunDef_Oreduction__pair @t403 (tptp.c_Product__Type_OPair @t414 @t414 tptp.c_FunDef_Omin__strict tptp.c_FunDef_Omin__weak))) % 64.88/65.07 (assume @p247 (tptp.c_FunDef_Oreduction__pair @t403 (tptp.c_Product__Type_OPair @t414 @t414 tptp.c_FunDef_Omax__strict tptp.c_FunDef_Omax__weak))) % 64.88/65.07 (assume @p248 (forall @t398 (=> @t415 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t393) @t400)))) % 64.88/65.07 (assume @p249 (forall @t398 (=> @t415 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t393) @t396)))) % 64.88/65.07 (assume @p250 (forall @t418 (=> (or @t417 @t365) @t416))) % 64.88/65.07 (assume @p251 (forall @t418 (=> @t416 (=> @t366 @t417)))) % 64.88/65.07 (assume @p252 (forall @t418 (=> @t417 @t416))) % 64.88/65.07 (assume @p253 (forall @t354 (= @t419 (or @t351 @t350)))) % 64.88/65.07 (assume @p254 (forall @t354 (= @t351 (and @t419 @t357)))) % 64.88/65.07 (assume @p255 (forall @t356 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t355 @t355))) % 64.88/65.07 (assume @p256 (forall @t418 (or @t416 @t420))) % 64.88/65.07 (assume @p257 (forall @t418 (=> @t365 @t416))) % 64.88/65.07 (assume @p258 (forall (@list @t421 @t423 @t422) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t422 @t423) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t423 @t421) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t422 @t421))))) % 64.88/65.07 (assume @p259 (forall @t418 (=> @t416 (=> @t420 @t365)))) % 64.88/65.07 (assume @p260 (forall @t363 (=> @t360 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t358 @t359)))) % 64.88/65.07 (assume @p261 (forall @t342 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t161 @t160) (=> (tptp.c_member @t117 @t147 @t61) @t341)))) % 64.88/65.07 (assume @p262 (forall @t354 (= (tptp.c_member @t338 @t353 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) @t419))) % 64.88/65.07 (assume @p263 (forall @t425 (=> @t424 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t358 @t358)))) % 64.88/65.07 (assume @p264 (forall @t430 (=> @t429 (= @t428 @t426)))) % 64.88/65.07 (assume @p265 (forall @t430 (=> @t429 (= (not @t432) @t431)))) % 64.88/65.07 (assume @p266 (forall @t435 (=> @t429 (or @t434 @t433)))) % 64.88/65.07 (assume @p267 (forall @t438 (=> @t437 @t436))) % 64.88/65.07 (assume @p268 (forall @t439 (=> @t437 (=> @t75 @t76)))) % 64.88/65.07 (assume @p269 (forall @t308 (=> @t75 (=> @t437 @t76)))) % 64.88/65.07 (assume @p270 (forall @t441 (=> @t320 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t197 @t22) (tptp.c_Wellfounded_Owf @t25 @t197))))) % 64.88/65.07 (assume @p271 (forall (@list @t23 @t38 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t38 @t309))) % 64.88/65.07 (assume @p272 (forall (@list @t24 @t38 @t41 @t25) (=> @t437 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t295)))) % 64.88/65.07 (assume @p273 (forall (@list @t23 @t442 @t443 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t443 @t442) (tptp.c_Orderings_Oord__class_Oless__eq @t345 (tptp.c_Set_Oinsert @t25 @t23 @t443) (tptp.c_Set_Oinsert @t25 @t23 @t442))))) % 64.88/65.07 (assume @p274 (forall (@list @t22 @t132 @t25) (=> (tptp.c_Wellfounded_Oacyclic @t25 @t132) (=> @t444 @t287)))) % 64.88/65.07 (assume @p275 (forall @t447 (=> @t446 (=> (tptp.c_Relation_Osingle__valued @t25 @t26 @t132) @t253)))) % 64.88/65.07 (assume @p276 (forall @t441 (=> (tptp.c_Wellfounded_OwfP @t25 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t25 @t345) @t197 @t22) (tptp.c_Wellfounded_OwfP @t25 @t197))))) % 64.88/65.07 (assume @p277 (forall (@list @t449 @t448 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t448 @t449) (tptp.c_Orderings_Oord__class_Oless__eq @t345 (tptp.c_Wellfounded_Oacc @t25 @t449) (tptp.c_Wellfounded_Oacc @t25 @t448))))) % 64.88/65.07 (assume @p278 (forall @t447 (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t150 (tptp.c_Relation_ODomain @t25 @t26 @t132))))) % 64.88/65.07 (assume @p279 (forall @t452 (=> @t444 @t451))) % 64.88/65.07 (assume @p280 (forall @t455 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t61 @t453) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t453 @t200) (= @t454 @t200))))) % 64.88/65.07 (assume @p281 (forall @t452 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t22 @t450) @t451))) % 64.88/65.07 (assume @p282 (forall @t456 (=> @t437 (=> @t390 @t370)))) % 64.88/65.07 (assume @p283 (forall @t457 (=> @t390 (=> @t437 @t370)))) % 64.88/65.07 (assume @p284 (forall @t452 (=> @t444 (=> (tptp.c_Relation_Oantisym @t25 @t132) @t310)))) % 64.88/65.07 (assume @p285 (forall @t438 (=> @t458 @t436))) % 64.88/65.07 (assume @p286 (forall @t308 (= (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t302 @t38) (and @t76 @t437)))) % 64.88/65.07 (assume @p287 (forall @t308 (=> @t307 (= (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t306) @t437)))) % 64.88/65.07 (assume @p288 (forall (@list @t132 @t22 @t197 @t25) (=> @t268 (=> @t444 (tptp.c_member @t117 @t197 (tptp.c_Transitive__Closure_Otrancl @t25 @t132)))))) % 64.88/65.07 (assume @p289 (forall @t460 (=> @t399 (=> @t382 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t459 @t38 @t41) (= (tptp.hAPP (tptp.hAPP @t2 @t388) @t372) @t372)))))) % 64.88/65.07 (assume @p290 (forall @t464 (=> @t463 (= @t462 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t26 @t5 @t4)))))) % 64.88/65.07 (assume @p291 (forall @t435 (=> @t429 (or @t434 @t465)))) % 64.88/65.07 (assume @p292 (forall @t430 (=> @t466 (= @t54 (and @t432 @t426))))) % 64.88/65.07 (assume @p293 (forall @t435 (=> @t424 (=> @t361 @t434)))) % 64.88/65.07 (assume @p294 (forall (@list @t48 @t1 @t2 @t25 @t26) (=> @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t26 @t161 @t86))))) % 64.88/65.07 (assume @p295 (forall @t468 (=> @t466 (=> @t426 @t467)))) % 64.88/65.07 (assume @p296 (forall @t473 (=> @t472 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t315 @t469) @t470))))) % 64.88/65.07 (assume @p297 (forall @t473 (=> @t466 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t469 @t315) @t474))))) % 64.88/65.07 (assume @p298 (forall @t473 (=> @t472 (=> @t476 (=> @t475 @t470))))) % 64.88/65.07 (assume @p299 (forall @t478 (=> @t466 (=> @t477 (=> @t475 @t474))))) % 64.88/65.07 (assume @p300 (forall @t435 (=> @t466 (=> @t434 (=> @t465 @t361))))) % 64.88/65.07 (assume @p301 (forall @t481 (=> @t424 (=> @t434 (=> @t480 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t358 @t479)))))) % 64.88/65.07 (assume @p302 (forall @t482 (=> @t466 (=> @t465 (=> @t434 @t361))))) % 64.88/65.07 (assume @p303 (forall @t484 (=> @t466 (=> @t465 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t479 @t358)))))) % 64.88/65.07 (assume @p304 (forall @t435 (=> @t429 (=> (not @t434) @t465)))) % 64.88/65.07 (assume @p305 (forall @t425 (=> @t424 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t358 @t358))))) % 64.88/65.07 (assume @p306 (forall @t430 (=> @t429 (= @t55 (or @t427 @t431))))) % 64.88/65.07 (assume @p307 (forall @t430 (=> @t429 (= @t428 (or @t431 @t54))))) % 64.88/65.07 (assume @p308 (forall @t435 (=> @t429 (or @t485 @t361 @t433)))) % 64.88/65.07 (assume @p309 (forall @t468 (=> @t429 (=> (not @t431) @t486)))) % 64.88/65.07 (assume @p310 (forall @t435 (=> @t429 (=> @t362 (=> @t487 @t433))))) % 64.88/65.07 (assume @p311 (forall @t435 (=> @t466 (=> @t485 @t362)))) % 64.88/65.07 (assume @p312 (forall @t435 (=> @t424 (=> @t485 (not @t433))))) % 64.88/65.07 (assume @p313 (forall @t435 (=> @t466 (=> @t485 (not (= @t359 @t358)))))) % 64.88/65.07 (assume @p314 (forall @t490 (=> @t424 (=> @t489 (not @t488))))) % 64.88/65.07 (assume @p315 (forall @t491 (=> @t466 (=> @t488 (not @t489))))) % 64.88/65.07 (assume @p316 (forall @t473 (=> @t472 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t315 @t469) @t492))))) % 64.88/65.07 (assume @p317 (forall @t473 (=> @t466 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t469 @t315) @t493))))) % 64.88/65.07 (assume @p318 (forall @t473 (=> @t472 (=> @t489 (=> @t475 @t492))))) % 64.88/65.07 (assume @p319 (forall @t478 (=> @t466 (=> @t488 (=> @t475 @t493))))) % 64.88/65.07 (assume @p320 (forall @t481 (=> @t424 (=> @t485 @t495)))) % 64.88/65.07 (assume @p321 (forall @t484 (=> @t466 (=> @t433 @t497)))) % 64.88/65.07 (assume @p322 (forall @t435 (=> @t429 (=> @t487 (=> @t362 @t433))))) % 64.88/65.07 (assume @p323 (forall @t392 (=> @t376 (=> @t370 (=> @t498 (= @t391 @t372)))))) % 64.88/65.07 (assume @p324 (forall @t456 (= (tptp.c_member @t500 @t499 @t371) (and @t458 @t390)))) % 64.88/65.07 (assume @p325 (forall @t484 (=> @t466 (=> @t465 @t497)))) % 64.88/65.07 (assume @p326 (forall @t481 (=> @t424 (=> @t434 @t495)))) % 64.88/65.07 (assume @p327 (forall @t484 (=> @t466 (=> @t433 (=> @t483 @t496))))) % 64.88/65.07 (assume @p328 (forall @t481 (=> @t424 (=> @t485 (=> @t480 @t494))))) % 64.88/65.07 (assume @p329 (forall @t491 (=> @t466 (=> @t477 (=> @t501 @t488))))) % 64.88/65.07 (assume @p330 (forall @t490 (=> @t466 (=> @t476 (=> @t501 @t489))))) % 64.88/65.07 (assume @p331 (forall @t435 (=> @t466 (=> @t434 (or @t485 @t361))))) % 64.88/65.07 (assume @p332 (forall @t430 (=> @t429 (=> @t432 @t486)))) % 64.88/65.07 (assume @p333 (forall @t435 (=> @t424 (=> @t485 @t434)))) % 64.88/65.07 (assume @p334 (forall @t482 (=> @t429 (=> @t465 @t487)))) % 64.88/65.07 (assume @p335 (forall @t490 (=> @t466 (=> @t501 (=> @t477 @t488))))) % 64.88/65.07 (assume @p336 (forall @t490 (=> @t466 (=> @t501 (=> @t476 @t489))))) % 64.88/65.07 (assume @p337 (forall @t430 (=> @t429 (=> @t428 @t467)))) % 64.88/65.07 (assume @p338 (forall @t482 (=> @t429 (=> (not @t465) @t485)))) % 64.88/65.07 (assume @p339 (forall @t435 (=> @t429 (=> @t487 @t465)))) % 64.88/65.07 (assume @p340 (forall @t430 (=> @t466 (= @t432 (or @t427 @t54))))) % 64.88/65.07 (assume @p341 (forall @t430 (=> @t424 (= @t427 (and @t432 (not @t426)))))) % 64.88/65.07 (assume @p342 (forall @t430 (=> @t466 (= @t427 (and @t432 @t55))))) % 64.88/65.07 (assume @p343 (forall (@list @t2 @t26 @t63 @t25) (=> (tptp.c_FunDef_Oreduction__pair @t25 @t63) (tptp.c_FunDef_Oreduction__pair @t26 (tptp.c_FunDef_Orp__inv__image @t25 @t26 @t63 @t2))))) % 64.88/65.07 (assume @p344 (forall @t455 (=> @t336 (=> @t502 (tptp.c_FunDef_Oreduction__pair @t25 (tptp.c_Product__Type_OPair @t440 @t440 @t61 @t453)))))) % 64.88/65.07 (assume @p345 (forall @t505 (tptp.c_member @t404 @t504 tptp.c_FunDef_Omin__weak))) % 64.88/65.07 (assume @p346 (forall @t456 (=> @t437 (=> @t498 @t45)))) % 64.88/65.07 (assume @p347 (forall @t292 (not (tptp.c_member @t25 @t23 @t506)))) % 64.88/65.07 (assume @p348 (forall @t303 (tptp.c_Finite__Set_Ofinite @t25 @t506))) % 64.88/65.07 (assume @p349 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t506 @t41))) % 64.88/65.07 (assume @p350 (forall @t303 (tptp.c_Wellfounded_Owf @t25 @t507))) % 64.88/65.07 (assume @p351 (forall (@list @t132 @t39 @t84 @t22 @t24 @t23 @t26 @t25) (=> @t37 (=> (tptp.c_member @t510 (tptp.c_Product__Type_OPair @t26 @t84 @t24 @t39) @t132) (tptp.c_member @t509 (tptp.c_Product__Type_OPair @t25 @t84 @t23 @t39) @t508))))) % 64.88/65.07 (assume @p352 (forall (@list @t48 @t41 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t511) (or @t512 (= @t41 @t511))))) % 64.88/65.07 (assume @p353 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t41))) % 64.88/65.07 (assume @p354 (forall @t142 (= (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t506) @t512))) % 64.88/65.07 (assume @p355 (forall @t513 (= @t45 (and @t437 @t498)))) % 64.88/65.07 (assume @p356 (forall (@list @t38 @t25 @t41) (=> (= @t41 @t507) (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t41 @t38)))) % 64.88/65.07 (assume @p357 (forall @t513 (=> @t45 @t437))) % 64.88/65.07 (assume @p358 (forall @t513 (=> @t45 @t498))) % 64.88/65.07 (assume @p359 (forall @t516 (=> @t437 (=> @t515 @t514)))) % 64.88/65.07 (assume @p360 (forall (@list @t132 @t517 @t84 @t22 @t518 @t26 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t445 @t518 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t510 tptp.tc_HOL_Obool) @t517 @t132) (tptp.c_Orderings_Oord__class_Oless__eq @t519 (tptp.c_Relation_Orel__comp @t25 @t26 @t84 @t518 @t517) @t508))))) % 64.88/65.07 (assume @p361 (forall @t513 (=> @t45 (not (=> @t437 (not @t498)))))) % 64.88/65.07 (assume @p362 (forall @t425 (=> @t521 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t520 @t358)))) % 64.88/65.07 (assume @p363 (forall @t464 (=> @t463 (= (tptp.c_Orderings_Oord__class_Oless @t461 @t2 @t1) (and @t462 (not (tptp.c_Orderings_Oord__class_Oless__eq @t461 @t1 @t2))))))) % 64.88/65.07 (assume @p364 (forall @t516 (=> @t437 @t523))) % 64.88/65.07 (assume @p365 (forall @t516 (=> @t458 (=> @t515 @t522)))) % 64.88/65.07 (assume @p366 (forall @t456 (=> @t458 @t437))) % 64.88/65.07 (assume @p367 (forall @t456 (= @t437 (or @t458 @t45)))) % 64.88/65.07 (assume @p368 (forall @t456 (= @t458 (and @t437 (not @t45))))) % 64.88/65.07 (assume @p369 (forall @t270 (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t200 @t200) @t200))) % 64.88/65.07 (assume @p370 (forall @t119 (= @t525 @t524))) % 64.88/65.07 (assume @p371 (forall @t142 (not (tptp.c_Orderings_Oord__class_Oless @t345 @t41 @t506)))) % 64.88/65.07 (assume @p372 (forall @t516 (=> @t458 @t523))) % 64.88/65.07 (assume @p373 (forall (@list @t48 @t26 @t25) (=> @t521 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t526) @t48) @t520)))) % 64.88/65.07 (assume @p374 (forall @t119 (tptp.c_Relation_Ototal__on @t25 @t506 @t22))) % 64.88/65.07 (assume @p375 (forall (@list @t121 @t1 @t51 @t2 @t26 @t25) (=> @t383 (= (tptp.hAPP @t121 (tptp.c_Orderings_Obot__class_Obot @t459)) @t51)))) % 64.88/65.07 (assume @p376 (forall @t142 (= (forall @t6 (not @t149)) @t512))) % 64.88/65.07 (assume @p377 (forall @t142 (= (exists @t6 @t149) @t527))) % 64.88/65.07 (assume @p378 (forall (@list @t39 @t25) (not (tptp.c_member @t25 @t39 @t506)))) % 64.88/65.07 (assume @p379 (forall (@list @t23 @t25 @t41) (=> @t512 (not @t71)))) % 64.88/65.07 (assume @p380 (forall @t270 (= @t336 (tptp.c_Wellfounded_Owf @t25 @t528)))) % 64.88/65.07 (assume @p381 (forall @t305 (not (= @t506 @t304)))) % 64.88/65.07 (assume @p382 (forall @t305 (not (= @t304 @t506)))) % 64.88/65.07 (assume @p383 (forall (@list @t190 @t39 @t24 @t23 @t25) (= (= (tptp.c_Set_Oinsert @t25 @t23 @t529) (tptp.c_Set_Oinsert @t25 @t39 (tptp.c_Set_Oinsert @t25 @t190 @t506))) (or (and (= @t23 @t39) (= @t24 @t190)) (and (= @t23 @t190) (= @t24 @t39)))))) % 64.88/65.07 (assume @p384 (forall @t311 (=> (= @t530 @t529) @t72))) % 64.88/65.07 (assume @p385 (forall @t270 (=> (= @t528 @t507) @t336))) % 64.88/65.07 (assume @p386 (forall (@list @t132 @t84 @t22 @t26 @t25) (=> @t253 (=> (tptp.c_Relation_Osingle__valued @t26 @t84 @t132) (tptp.c_Relation_Osingle__valued @t25 @t84 @t508))))) % 64.88/65.07 (assume @p387 (forall @t531 (= (tptp.c_Relation_Orel__comp @t25 @t26 @t26 @t61 (tptp.c_Relation_OId @t26)) @t61))) % 64.88/65.07 (assume @p388 (forall @t531 (= (tptp.c_Relation_Orel__comp @t25 @t25 @t26 @t291 @t61) @t61))) % 64.88/65.07 (assume @p389 (forall @t303 (= (tptp.c_Relation_OId__on @t25 @t506) @t507))) % 64.88/65.07 (assume @p390 (forall @t533 (= (tptp.c_Relation_Orel__comp @t25 @t84 @t26 (tptp.c_Orderings_Obot__class_Obot @t519) @t61) @t532))) % 64.88/65.07 (assume @p391 (forall @t533 (= (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t61 (tptp.c_Orderings_Obot__class_Obot @t534)) @t532))) % 64.88/65.07 (assume @p392 (forall (@list @t535 @t453 @t61 @t83 @t26 @t84 @t25) (= (tptp.c_Relation_Orel__comp @t25 @t84 @t26 (tptp.c_Relation_Orel__comp @t25 @t83 @t84 @t61 @t453) @t535) (tptp.c_Relation_Orel__comp @t25 @t83 @t26 @t61 (tptp.c_Relation_Orel__comp @t83 @t84 @t26 @t453 @t535))))) % 64.88/65.07 (assume @p393 (forall @t303 (tptp.c_Relation_Orefl__on @t25 @t506 @t507))) % 64.88/65.07 (assume @p394 (forall @t88 (= (= @t145 @t506) (= @t22 @t537)))) % 64.88/65.07 (assume @p395 (forall (@list @t25 @t26) (= (tptp.c_Relation_ORange @t26 @t25 @t537) @t506))) % 64.88/65.07 (assume @p396 (forall @t169 (= (= @t150 @t506) (= @t22 @t532)))) % 64.88/65.07 (assume @p397 (forall (@list @t26 @t25) (= (tptp.c_Relation_ODomain @t25 @t26 @t532) @t506))) % 64.88/65.07 (assume @p398 (forall @t303 (= (tptp.c_Transitive__Closure_Otrancl @t25 @t507) @t507))) % 64.88/65.07 (assume @p399 (forall (@list @t132 @t22 @t84 @t25 @t26) (= (tptp.hAPP @t30 (tptp.c_Relation_Orel__comp @t26 @t84 @t25 @t22 @t132)) (tptp.c_Relation_Orel__comp @t25 @t84 @t26 (tptp.hAPP (tptp.c_Relation_Oconverse @t84 @t25) @t132) (tptp.hAPP (tptp.c_Relation_Oconverse @t26 @t84) @t22))))) % 64.88/65.07 (assume @p400 (forall @t303 (tptp.c_Relation_Oantisym @t25 @t507))) % 64.88/65.07 (assume @p401 (forall @t540 (=> @t539 @t538))) % 64.88/65.07 (assume @p402 (forall @t540 (= @t539 @t538))) % 64.88/65.07 (assume @p403 (forall @t119 (= @t263 @t525))) % 64.88/65.07 (assume @p404 (forall @t119 (= @t263 @t524))) % 64.88/65.07 (assume @p405 (forall @t303 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t507) @t291))) % 64.88/65.07 (assume @p406 (forall @t505 (=> (tptp.c_Finite__Set_Ofinite @t338 @t412) (tptp.c_member @t404 (tptp.c_Product__Type_OPair @t403 @t403 @t503 @t412) tptp.c_FunDef_Omax__weak)))) % 64.88/65.07 (assume @p407 (forall (@list @t411) (=> (tptp.c_Finite__Set_Ofinite @t338 @t411) (=> (not (= @t411 @t503)) (tptp.c_member @t404 (tptp.c_Product__Type_OPair @t403 @t403 @t503 @t411) tptp.c_FunDef_Omax__strict))))) % 64.88/65.07 (assume @p408 (forall @t505 (=> (not (= @t412 @t503)) (tptp.c_member @t404 @t504 tptp.c_FunDef_Omin__strict)))) % 64.88/65.07 (assume @p409 (forall @t159 (=> @t164 (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t22 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t167 @t22))))) % 64.88/65.07 (assume @p410 (forall (@list @t48 @t25) (= (tptp.c_Set_Othe__elem @t25 @t511) @t48))) % 64.88/65.07 (assume @p411 (= tptp.c_FunDef_Omax__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t414 (tptp.c_Wellfounded_Omax__ext @t338 tptp.c_FunDef_Opair__leq) @t541))) % 64.88/65.07 (assume @p412 (= tptp.c_FunDef_Omin__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t414 (tptp.c_Wellfounded_Omin__ext @t338 tptp.c_FunDef_Opair__leq) @t541))) % 64.88/65.07 (assume @p413 (forall @t544 (=> @t543 @t43))) % 64.88/65.07 (assume @p414 (forall @t545 (=> (=> @t44 @t42) @t543))) % 64.88/65.07 (assume @p415 (forall @t305 (= @t304 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t530 @t41)))) % 64.88/65.07 (assume @p416 (forall (@list @t38 @t25) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t506 @t38) @t38))) % 64.88/65.07 (assume @p417 (forall @t142 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t506) @t41))) % 64.88/65.07 (assume @p418 (forall @t456 (= (= @t542 @t506) (and @t512 (= @t38 @t506))))) % 64.88/65.07 (assume @p419 (forall @t550 (= @t549 (and @t548 @t547)))) % 64.88/65.07 (assume @p420 (forall @t550 (=> @t548 (=> @t547 @t549)))) % 64.88/65.07 (assume @p421 (forall @t455 (= @t552 (tptp.c_Wellfounded_Owf @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t528 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t453 @t61)) @t453))))) % 64.88/65.07 (assume @p422 (forall @t119 (= @t263 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t22 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t263 @t22))))) % 64.88/65.07 (assume @p423 (forall @t554 (=> @t553 (=> (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t38 @t443) @t507) (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t41 @t38) @t443) @t507))))) % 64.88/65.07 (assume @p424 (forall @t516 (=> (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t41 @t38) @t507) (=> @t553 (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t41 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t38 @t443)) @t507))))) % 64.88/65.07 (assume @p425 (forall @t270 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t200 @t291) @t200))) % 64.88/65.07 (assume @p426 (forall @t270 (= (tptp.c_Transitive__Closure_Ortrancl @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t61 @t291)) @t200))) % 64.88/65.07 (assume @p427 (forall @t119 (= (tptp.c_Relation_Oantisym @t25 @t555) @t310))) % 64.88/65.07 (assume @p428 (forall @t460 (=> @t399 (=> @t382 (=> (tptp.c_Finite__Set_Ofinite @t26 @t38) (= (tptp.hAPP @t121 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t459 @t41 @t38)) (tptp.hAPP (tptp.hAPP @t2 @t372) @t388))))))) % 64.88/65.07 (assume @p429 (forall @t455 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t557) @t556))) % 64.88/65.07 (assume @p430 (forall (@list @t38 @t23 @t41 @t25) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t309) (tptp.c_Set_Oinsert @t25 @t23 @t542)))) % 64.88/65.07 (assume @p431 (forall (@list @t443 @t38 @t23 @t25) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t309 @t443) (tptp.c_Set_Oinsert @t25 @t23 @t558)))) % 64.88/65.07 (assume @p432 (forall (@list @t38 @t41 @t26 @t25) (= (tptp.c_Relation_ODomain @t25 @t26 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t445 @t41 @t38)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 (tptp.c_Relation_ODomain @t25 @t26 @t41) (tptp.c_Relation_ODomain @t25 @t26 @t38))))) % 64.88/65.07 (assume @p433 (forall @t142 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t41) @t41))) % 64.88/65.07 (assume @p434 (forall @t456 (= @t542 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t38 @t41)))) % 64.88/65.07 (assume @p435 (forall @t456 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t41 @t542) @t542))) % 64.88/65.07 (assume @p436 (forall @t516 (= @t560 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t38 @t559)))) % 64.88/65.07 (assume @p437 (forall @t516 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t542 @t443) @t560))) % 64.88/65.07 (assume @p438 (forall @t563 (= (exists @t6 (and @t562 @t335)) (or (exists @t6 (and @t149 @t335)) (exists @t6 (and @t561 @t335)))))) % 64.88/65.07 (assume @p439 (forall @t563 (= (forall @t6 (=> @t562 @t335)) (and (forall @t6 (=> @t149 @t335)) (forall @t6 (=> @t561 @t335)))))) % 64.88/65.07 (assume @p440 (forall (@list @t132 @t38 @t22 @t41 @t25) (=> @t164 (=> (tptp.c_Relation_Orefl__on @t25 @t38 @t132) (tptp.c_Relation_Orefl__on @t25 @t542 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t22 @t132)))))) % 64.88/65.07 (assume @p441 (forall (@list @t38 @t41 @t25 @t26) (= (tptp.c_Relation_ORange @t26 @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t536 @t41 @t38)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 (tptp.c_Relation_ORange @t26 @t25 @t41) (tptp.c_Relation_ORange @t26 @t25 @t38))))) % 64.88/65.07 (assume @p442 (forall (@list @t132 @t22 @t25 @t26) (= (tptp.hAPP @t30 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t536 @t22 @t132)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t445 @t31 (tptp.hAPP @t30 @t132))))) % 64.88/65.07 (assume @p443 (forall (@list @t453 @t61 @t48 @t25) (=> (or (tptp.c_member @t117 @t48 @t200) (tptp.c_member @t117 @t48 @t454)) (tptp.c_member @t117 @t48 @t556)))) % 64.88/65.07 (assume @p444 (forall (@list @t61 @t535 @t453 @t26 @t84 @t25) (= (tptp.c_Relation_Orel__comp @t25 @t84 @t26 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t519 @t453 @t535) @t61) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t445 (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t453 @t61) (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t535 @t61))))) % 64.88/65.07 (assume @p445 (forall (@list @t535 @t453 @t61 @t26 @t84 @t25) (= (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t61 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t534 @t453 @t535)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t445 (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t61 @t453) (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t61 @t535))))) % 64.88/65.07 (assume @p446 (forall @t545 (=> @t40 @t543))) % 64.88/65.07 (assume @p447 (forall @t544 (=> @t42 @t543))) % 64.88/65.07 (assume @p448 (forall @t544 (= @t543 (or @t42 @t40)))) % 64.88/65.07 (assume @p449 (forall @t455 (tptp.c_Orderings_Oord__class_Oless__eq @t440 @t557 @t556))) % 64.88/65.07 (assume @p450 (forall (@list @t442 @t38 @t443 @t41 @t25) (=> @t514 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t38 @t442) (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t542 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t443 @t442)))))) % 64.88/65.07 (assume @p451 (forall @t554 (=> @t514 (=> @t515 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t542 @t443))))) % 64.88/65.07 (assume @p452 (forall @t457 (=> @t498 (= @t542 @t41)))) % 64.88/65.07 (assume @p453 (forall @t456 (=> @t437 @t564))) % 64.88/65.07 (assume @p454 (forall @t456 (= @t437 @t564))) % 64.88/65.07 (assume @p455 (forall @t457 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t38 @t542))) % 64.88/65.07 (assume @p456 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t345 @t41 @t542))) % 64.88/65.07 (assume @p457 (forall @t455 (=> @t336 (=> (tptp.c_Wellfounded_Owf @t25 @t453) (=> @t502 @t552))))) % 64.88/65.07 (assume @p458 (forall @t119 (= (tptp.c_Transitive__Closure_Otrancl @t25 @t555) @t177))) % 64.88/65.07 (assume @p459 (forall @t119 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t263 @t291) @t177))) % 64.88/65.07 (assume @p460 (forall @t119 (= @t177 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t440 @t291 @t524)))) % 64.88/65.07 (assume @p461 (forall @t392 (=> @t376 (=> @t370 (=> @t390 (= (tptp.hAPP @t121 @t542) @t391)))))) % 64.88/65.07 (assume @p462 (forall (@list @t442 @t443 @t61 @t38 @t41 @t25) (=> (tptp.c_member @t500 @t499 @t565) (=> (tptp.c_member @t500 (tptp.c_Product__Type_OPair @t345 @t345 @t443 @t442) @t565) (tptp.c_member @t500 (tptp.c_Product__Type_OPair @t345 @t345 @t559 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t345 @t38 @t442)) @t565))))) % 64.88/65.07 (assume @p463 (forall @t455 (=> @t502 (tptp.c_Orderings_Oord__class_Oless__eq @t566 (tptp.c_Relation_Orel__comp @t345 @t345 @t345 @t565 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t566 (tptp.c_Wellfounded_Omax__ext @t25 @t453) @t567)) @t565)))) % 64.88/65.07 (assume @p464 (forall @t455 (=> @t502 (tptp.c_Orderings_Oord__class_Oless__eq @t566 (tptp.c_Relation_Orel__comp @t345 @t345 @t345 @t568 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t566 (tptp.c_Wellfounded_Omin__ext @t25 @t453) @t567)) @t568)))) % 64.88/65.07 (assume @p465 (forall (@list @t25 @t41 @t48 @t38) (=> (=> (not @t570) @t77) @t569))) % 64.88/65.07 (assume @p466 (forall @t439 (=> @t569 (=> (not @t77) @t570)))) % 64.88/65.07 (assume @p467 (= tptp.c_FunDef_Opair__leq (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t395 tptp.tc_HOL_Obool) tptp.c_FunDef_Opair__less (tptp.c_Relation_OId @t338)))) % 64.88/65.07 (assume @p468 (forall @t430 (= (tptp.c_member @t25 @t48 (tptp.c_fequal @t47)) @t54))) % 64.88/65.07 (assume @p469 (forall (@list @t571 @t25 @t48 @t63) (=> @t69 (=> @t574 @t573)))) % 64.88/65.07 (assume @p470 (forall (@list @t48 @t571 @t63 @t25) (=> @t574 (=> @t69 @t573)))) % 64.88/65.07 (assume @p471 (forall (@list @t38 @t25 @t48 @t41) (=> @t77 @t569))) % 64.88/65.07 (assume @p472 (forall (@list @t41 @t25 @t48 @t38) (=> @t570 @t569))) % 64.88/65.07 (assume @p473 (forall (@list @t47 @t48 @t571 @t63 @t26 @t25) (=> @t577 (=> @t576 @t575)))) % 64.88/65.07 (assume @p474 (forall (@list @t571 @t26 @t25 @t47 @t48 @t63) (=> @t576 (=> @t577 @t575)))) % 64.88/65.07 (assume @p475 (forall (@list @t48 @t41 @t121 @t2 @t25) (=> (tptp.c_Finite__Set_Ofolding__one @t25 @t2 @t121) (=> @t370 (=> @t307 (=> @t527 (= @t374 (tptp.hAPP @t161 @t372)))))))) % 64.88/65.07 (assume @p476 (forall (@list @t48 @t1 @t2 @t26 @t25) (=> @t578 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t526 @t2 @t1) @t48) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t161 @t86))))) % 64.88/65.07 (assume @p477 (forall (@list @t317 @t25) (=> @t579 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t317 @t317) @t317)))) % 64.88/65.07 (assume @p478 (forall @t425 (=> @t579 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t358 @t358) @t358)))) % 64.88/65.07 (assume @p479 (forall @t490 (=> @t579 (= @t580 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t315 @t317))))) % 64.88/65.07 (assume @p480 (forall @t435 (=> @t578 @t582))) % 64.88/65.07 (assume @p481 (forall @t435 (=> @t579 @t582))) % 64.88/65.07 (assume @p482 (forall @t490 (=> @t579 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t317 @t580) @t580)))) % 64.88/65.07 (assume @p483 (forall @t435 (=> @t578 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t358 @t581) @t581)))) % 64.88/65.07 (assume @p484 (forall @t587 (=> @t586 (tptp.class_Lattices_Osemilattice__sup @t585)))) % 64.88/65.07 (assume @p485 (forall @t587 (=> (tptp.class_Orderings_Opreorder @t583) (tptp.class_Orderings_Opreorder @t585)))) % 64.88/65.07 (assume @p486 (forall @t589 (=> @t588 (tptp.class_Finite__Set_Ofinite @t585)))) % 64.88/65.07 (assume @p487 (forall @t587 (=> @t586 (tptp.class_Lattices_Olattice @t585)))) % 64.88/65.07 (assume @p488 (forall @t587 (=> (tptp.class_Orderings_Oorder @t583) (tptp.class_Orderings_Oorder @t585)))) % 64.88/65.07 (assume @p489 (forall @t587 (=> (tptp.class_Orderings_Oord @t583) (tptp.class_Orderings_Oord @t585)))) % 64.88/65.07 (assume @p490 (forall @t587 (=> (tptp.class_Orderings_Obot @t583) (tptp.class_Orderings_Obot @t585)))) % 64.88/65.07 (assume @p491 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p492 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p493 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p494 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p495 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p496 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p497 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 64.88/65.07 (assume @p498 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p500 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 64.88/65.07 (assume @p505 (forall @t589 (=> @t588 (tptp.class_Finite__Set_Ofinite (tptp.tc_prod @t584 @t583))))) % 64.88/65.07 (assume @p506 (forall @t339 (or (not @t590) @t54))) % 64.88/65.07 (assume @p507 (forall @t339 (or @t55 @t590))) % 64.88/65.07 (assume @p508 (not (= @t591 @t19))) % 64.88/65.07 (assume @p509 true) % 64.88/65.07 (step @p510 :rule aci_norm :args ((= (or @t538 @t596) @t595))) % 64.88/65.07 (step @p511 :rule aci_norm :args ((= (or @t594 @t597) @t596))) % 64.88/65.07 (step @p512 :rule aci_norm :args ((= (or @t593 (or @t592 @t94)) @t597))) % 64.88/65.07 (step @p513 :rule bool-impl-elim :args (@t97 @t94)) % 64.88/65.07 (step @p514 :rule refl :args (@t593)) % 64.88/65.07 (step @p515 :rule nary_cong :premises (@p514 @p513) :args ((or @t593 @t98))) % 64.88/65.07 (step @p516 :rule trans :premises (@p515 @p512)) % 64.88/65.07 (step @p517 :rule bool-impl-elim :args (@t99 @t98)) % 64.88/65.07 (step @p518 :rule trans :premises (@p517 @p516)) % 64.88/65.07 (step @p519 :rule refl :args (@t594)) % 64.88/65.07 (step @p520 :rule nary_cong :premises (@p519 @p518) :args ((or @t594 @t100))) % 64.88/65.07 (step @p521 :rule trans :premises (@p520 @p511)) % 64.88/65.07 (step @p522 :rule bool-impl-elim :args (@t101 @t100)) % 64.88/65.07 (step @p523 :rule trans :premises (@p522 @p521)) % 64.88/65.07 (step @p524 :rule refl :args (@t538)) % 64.88/65.07 (step @p525 :rule nary_cong :premises (@p524 @p523) :args ((or @t538 @t102))) % 64.88/65.07 (step @p526 :rule trans :premises (@p525 @p510)) % 64.88/65.07 (step @p527 :rule refl :args (@t102)) % 64.88/65.07 (step @p528 :rule bool-double-not-elim :args (@t538)) % 64.88/65.07 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or (not @t598) @t102))) % 64.88/65.07 (step @p530 :rule bool-impl-elim :args (@t598 @t102)) % 64.88/65.07 (step @p531 :rule trans :premises (@p530 @p529)) % 64.88/65.07 (step @p532 :rule trans :premises (@p531 @p526)) % 64.88/65.07 (step @p533 :rule cong :premises (@p532) :args ((forall @t105 (=> @t598 @t102)))) % 64.88/65.07 (step @p534 :rule refl :args (@t102)) % 64.88/65.07 (step @p535 :rule eq-symm :args (@t23 @t24)) % 64.88/65.07 (step @p536 :rule cong :premises (@p535) :args (@t103)) % 64.88/65.07 (step @p537 :rule cong :premises (@p536 @p534) :args (@t104)) % 64.88/65.07 (step @p538 :rule cong :premises (@p537) :args (@t106)) % 64.88/65.07 (step @p539 :rule trans :premises (@p538 @p533)) % 64.88/65.07 (step @p540 :rule eq_resolve :premises (@p27 @p539)) % 64.88/65.07 (step @p541 :rule refl :args (@t599)) % 64.88/65.07 (step @p542 :rule eq-symm :args (@t20 @t13)) % 64.88/65.07 (step @p543 :rule cong :premises (@p542) :args (@t600)) % 64.88/65.07 (step @p544 :rule cong :premises (@p543) :args (@t601)) % 64.88/65.07 (step @p545 :rule refl :args (@t602)) % 64.88/65.07 (step @p546 :rule refl :args (@t603)) % 64.88/65.07 (step @p547 :rule eq-symm :args (tptp.v_a____ tptp.v_b____)) % 64.88/65.07 (step @p548 :rule nary_cong :premises (@p547 @p546 @p545 @p544 @p541) :args (@t604)) % 64.88/65.07 (step @p549 :rule refl :args (@t605)) % 64.88/65.07 (step @p550 :rule cong :premises (@p549 @p548) :args ((=> @t605 @t604))) % 64.88/65.07 (assume-push @p609 @t605) % 64.88/65.07 (step @p552 :rule instantiate :premises (@p540) :args ((@list tptp.v_P____ @t17 tptp.v_a____ tptp.v_b____))) % 64.88/65.07 (step-pop @p610 :rule scope :premises (@p552)) % 64.88/65.07 (step @p553 :rule process_scope :premises (@p610) :args (@t604)) % 64.88/65.07 (step @p555 :rule eq_resolve :premises (@p553 @p550)) % 64.88/65.07 (step @p556 :rule implies_elim :premises (@p555)) % 64.88/65.07 (step @p557 :rule chain_m_resolution :premises (@p556 @p540) :args (@t609 @t610 (@list @t605))) % 64.88/65.07 (step @p558 :rule cnf_equiv_neg2 :args (@t614)) % 64.88/65.07 (step @p559 :rule instantiate :premises (@p7) :args (@t615)) % 64.88/65.07 (step @p560 :rule cnf_equiv_pos1 :args (@t617)) % 64.88/65.07 (step @p561 :rule reordering :premises (@p560) :args ((or @t619 @t616 @t618))) % 64.88/65.07 (step @p562 :rule eq-symm :args (@t20 @t11)) % 64.88/65.07 (step @p563 :rule cong :premises (@p562) :args (@t21)) % 64.88/65.07 (step @p564 :rule eq_resolve :premises (@p9 @p563)) % 64.88/65.07 (step @p565 :rule eq-symm :args (@t616 @t612)) % 64.88/65.07 (step @p566 :rule refl :args (@t620)) % 64.88/65.07 (step @p567 :rule cong :premises (@p566 @p565) :args ((=> @t620 @t621))) % 64.88/65.07 (assume-push @p611 @t620) % 64.88/65.07 (step @p569 :rule instantiate :premises (@p564) :args (@t615)) % 64.88/65.07 (step-pop @p612 :rule scope :premises (@p569)) % 64.88/65.07 (step @p570 :rule process_scope :premises (@p612) :args (@t621)) % 64.88/65.07 (step @p572 :rule eq_resolve :premises (@p570 @p567)) % 64.88/65.07 (step @p573 :rule implies_elim :premises (@p572)) % 64.88/65.07 (step @p574 :rule chain_m_resolution :premises (@p573 @p564) :args (@t622 @t610 (@list @t620))) % 64.88/65.07 (step @p575 :rule cnf_equiv_pos2 :args (@t622)) % 64.88/65.07 (step @p576 :rule reordering :premises (@p575) :args ((or @t612 @t624 @t623))) % 64.88/65.07 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p561 @p559 @p558) :args ((or @t614 @t619) (@list false false false true) (@list @t622 @t616 @t617 @t612))) % 64.88/65.07 (step @p578 :rule cnf_equiv_neg1 :args (@t614)) % 64.88/65.07 (step @p579 :rule reordering :premises (@p578) :args ((or @t613 @t612 @t614))) % 64.88/65.07 (step @p580 :rule cnf_equiv_pos2 :args (@t617)) % 64.88/65.07 (step @p581 :rule reordering :premises (@p580) :args ((or @t613 @t624 @t618))) % 64.88/65.07 (step @p582 :rule cnf_equiv_pos1 :args (@t622)) % 64.88/65.07 (step @p583 :rule reordering :premises (@p582) :args ((or (not @t612) @t616 @t623))) % 64.88/65.07 (step @p584 :rule chain_m_resolution :premises (@p583 @p574 @p581 @p559 @p579 @p577) :args (@t614 (@list false true false false true) (@list @t622 @t616 @t617 @t612 @t613))) % 64.88/65.07 (step @p585 :rule refl :args (@t625)) % 64.88/65.07 (step @p586 :rule bool-double-not-elim :args (@t606)) % 64.88/65.07 (step @p587 :rule nary_cong :premises (@p586 @p585) :args ((or (not @t607) @t625))) % 64.88/65.07 (assume-push @p613 @t607) % 64.88/65.07 (step @p589 :rule skolemize :premises (@p613)) % 64.88/65.07 (step-pop @p614 :rule scope :premises (@p589)) % 64.88/65.07 (step @p590 :rule process_scope :premises (@p614) :args (@t625)) % 64.88/65.07 (step @p592 :rule implies_elim :premises (@p590)) % 64.88/65.07 (step @p593 :rule eq_resolve :premises (@p592 @p587)) % 64.88/65.07 (step @p594 :rule chain_m_resolution :premises (@p593 @p584) :args (@t606 @t610 (@list @t614))) % 64.88/65.07 (step @p595 :rule symm :premises (@p4)) % 64.88/65.07 (step @p596 :rule cnf_or_pos :args (@t609)) % 64.88/65.07 (step @p597 :rule reordering :premises (@p596) :args ((or @t608 @t599 @t603 @t602 @t607 (not @t609)))) % 64.88/65.07 (step @p598 :rule chain_m_resolution :premises (@p597 @p595 @p16 @p19 @p594 @p557) :args (@t599 (@list true false false false false) (@list @t608 @t60 @t70 @t606 @t609))) % 64.88/65.07 (step @p599 :rule symm :premises (@p508)) % 64.88/65.07 (step @p600 :rule not_equiv_elim2 :premises (@p599)) % 64.88/65.07 (step @p601 :rule cnf_equiv_pos1 :args (@t599)) % 64.88/65.07 (step @p602 :rule reordering :premises (@p601) :args ((or @t591 @t627 @t626))) % 64.88/65.07 (step @p603 :rule chain_m_resolution :premises (@p602 @p598 @p600) :args (@t626 (@list false true) (@list @t599 @t591))) % 64.88/65.07 (step @p604 :rule not_equiv_elim1 :premises (@p599)) % 64.88/65.07 (step @p605 :rule chain_m_resolution :premises (@p604 @p603) :args (@t591 (@list true) (@list @t19))) % 64.88/65.07 (step @p606 :rule cnf_equiv_pos2 :args (@t599)) % 64.88/65.07 (step @p607 :rule reordering :premises (@p606) :args ((or @t19 @t627 (not @t591)))) % 64.88/65.07 (step @p608 false :rule chain_m_resolution :premises (@p607 @p605 @p603 @p598) :args (false (@list false true false) (@list @t591 @t19 @t599))) % 64.88/65.07 ) % 64.88/65.07 % SZS output end Proof % 64.88/65.07 % cvc5 exiting %------------------------------------------------------------------------------