%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT151+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 64.10s 64.61s % Output : Proof 64.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT151+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:31:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.64 %----Proving TF0_NAR, FOF, or CNF % 64.10/64.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.10/64.61 --- Run --no-e-matching --full-saturate-quant at 6... % 64.10/64.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.10/64.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.10/64.61 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.10/64.61 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.10/64.61 % SZS status Theorem % 64.10/64.61 % SZS output start Proof % 64.10/64.61 ( % 64.10/64.61 (declare-sort $$unsorted 0) % 64.10/64.61 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 64.10/64.61 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 64.10/64.61 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 64.10/64.61 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 64.10/64.61 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 64.10/64.61 (declare-const tptp.tc_HOL_Obool $$unsorted) % 64.10/64.61 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 64.10/64.61 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.v_F $$unsorted) % 64.10/64.61 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.v_P_H____ $$unsorted) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.v_a____ $$unsorted) % 64.10/64.61 (declare-const tptp.v_c____ $$unsorted) % 64.10/64.61 (declare-const tptp.tc_Nat_Onat $$unsorted) % 64.10/64.61 (declare-const tptp.v_P____ $$unsorted) % 64.10/64.61 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 64.10/64.61 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 64.10/64.61 (declare-const tptp.v_b____ $$unsorted) % 64.10/64.61 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 64.10/64.61 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 64.10/64.61 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 64.10/64.61 (define @t1 () (@var "V_g_2" $$unsorted)) % 64.10/64.61 (define @t2 () (@var "V_f_2" $$unsorted)) % 64.10/64.61 (define @t3 () (@var "B_x" $$unsorted)) % 64.10/64.61 (define @t4 () (tptp.hAPP @t1 @t3)) % 64.10/64.61 (define @t5 () (tptp.hAPP @t2 @t3)) % 64.10/64.61 (define @t6 () (@list @t3)) % 64.10/64.61 (define @t7 () (= tptp.v_a____ tptp.v_b____)) % 64.10/64.61 (define @t8 () (= tptp.v_b____ tptp.v_c____)) % 64.10/64.61 (define @t9 () (@var "B_i" $$unsorted)) % 64.10/64.61 (define @t10 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_c____)) % 64.10/64.61 (define @t11 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.10/64.61 (define @t12 () (tptp.c_member @t11 @t10 (tptp.hAPP tptp.v_P_H____ @t9))) % 64.10/64.61 (define @t13 () (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.10/64.61 (define @t14 () (tptp.tc_fun @t11 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t15 () (tptp.c_Fun_Ocomp @t14 @t14 tptp.tc_Arrow__Order__Mirabelle_Oindi @t13 tptp.v_P____)) % 64.10/64.61 (define @t16 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_a____)) % 64.10/64.61 (define @t17 () (@list @t9)) % 64.10/64.61 (define @t18 () (forall @t17 (= (tptp.c_member @t11 @t16 (tptp.hAPP @t15 @t9)) @t12))) % 64.10/64.61 (define @t19 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t14)) % 64.10/64.61 (define @t20 () (tptp.c_member @t19 @t15 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.10/64.61 (define @t21 () (tptp.c_member @t19 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.10/64.61 (define @t22 () (@var "V_r_2" $$unsorted)) % 64.10/64.61 (define @t23 () (@var "V_aa_2" $$unsorted)) % 64.10/64.61 (define @t24 () (@var "V_ba_2" $$unsorted)) % 64.10/64.61 (define @t25 () (@var "T_a" $$unsorted)) % 64.10/64.61 (define @t26 () (@var "T_b" $$unsorted)) % 64.10/64.61 (define @t27 () (tptp.c_Product__Type_OPair @t26 @t25 @t24 @t23)) % 64.10/64.61 (define @t28 () (tptp.tc_prod @t26 @t25)) % 64.10/64.61 (define @t29 () (tptp.c_member @t28 @t27 @t22)) % 64.10/64.61 (define @t30 () (tptp.c_Relation_Oconverse @t26 @t25)) % 64.10/64.61 (define @t31 () (tptp.hAPP @t30 @t22)) % 64.10/64.61 (define @t32 () (tptp.c_Product__Type_OPair @t25 @t26 @t23 @t24)) % 64.10/64.61 (define @t33 () (tptp.tc_prod @t25 @t26)) % 64.10/64.61 (define @t34 () (tptp.c_member @t33 @t32 @t31)) % 64.10/64.61 (define @t35 () (@list @t22 @t24 @t23 @t26 @t25)) % 64.10/64.61 (define @t36 () (tptp.hAPP (tptp.c_Relation_Oconverse @t25 @t26) @t22)) % 64.10/64.61 (define @t37 () (tptp.c_member @t33 @t32 @t22)) % 64.10/64.61 (define @t38 () (@var "V_B_2" $$unsorted)) % 64.10/64.61 (define @t39 () (@var "V_ca_2" $$unsorted)) % 64.10/64.61 (define @t40 () (tptp.c_member @t25 @t39 @t38)) % 64.10/64.61 (define @t41 () (@var "V_A_2" $$unsorted)) % 64.10/64.61 (define @t42 () (tptp.c_member @t25 @t39 @t41)) % 64.10/64.61 (define @t43 () (=> (not @t42) @t40)) % 64.10/64.61 (define @t44 () (not @t40)) % 64.10/64.61 (define @t45 () (= @t41 @t38)) % 64.10/64.61 (define @t46 () (@var "V_L_2" $$unsorted)) % 64.10/64.61 (define @t47 () (@var "V_y_2" $$unsorted)) % 64.10/64.61 (define @t48 () (@var "V_x_2" $$unsorted)) % 64.10/64.61 (define @t49 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t48 @t47)) % 64.10/64.61 (define @t50 () (tptp.c_member @t11 @t49 @t46)) % 64.10/64.61 (define @t51 () (@var "V_z_2" $$unsorted)) % 64.10/64.61 (define @t52 () (= @t48 @t51)) % 64.10/64.61 (define @t53 () (not @t52)) % 64.10/64.61 (define @t54 () (= @t48 @t47)) % 64.10/64.61 (define @t55 () (not @t54)) % 64.10/64.61 (define @t56 () (= @t47 @t51)) % 64.10/64.61 (define @t57 () (not @t56)) % 64.10/64.61 (define @t58 () (@list @t51 @t46 @t47 @t48)) % 64.10/64.61 (define @t59 () (@var "V_R_2" $$unsorted)) % 64.10/64.61 (define @t60 () (tptp.c_Product__Type_OPair @t25 @t26 @t48 @t47)) % 64.10/64.61 (define @t61 () (@var "V_Pa_2" $$unsorted)) % 64.10/64.61 (define @t62 () (tptp.c_Recdef_Osame__fst @t25 @t26 @t61 @t59)) % 64.10/64.61 (define @t63 () (@var "V_y_H_2" $$unsorted)) % 64.10/64.61 (define @t64 () (tptp.tc_prod @t33 @t33)) % 64.10/64.61 (define @t65 () (tptp.tc_prod @t26 @t26)) % 64.10/64.61 (define @t66 () (tptp.hAPP @t61 @t48)) % 64.10/64.61 (define @t67 () (tptp.hBOOL @t66)) % 64.10/64.61 (define @t68 () (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t3)) % 64.10/64.61 (define @t69 () (tptp.tc_prod @t25 @t25)) % 64.10/64.61 (define @t70 () (tptp.c_member @t69 @t68 @t22)) % 64.10/64.61 (define @t71 () (@list @t22 @t25)) % 64.10/64.61 (define @t72 () (tptp.c_member @t25 @t23 @t41)) % 64.10/64.61 (define @t73 () (= @t23 @t24)) % 64.10/64.61 (define @t74 () (@list @t41 @t25 @t24 @t23)) % 64.10/64.61 (define @t75 () (tptp.c_member @t25 @t47 @t41)) % 64.10/64.61 (define @t76 () (tptp.c_member @t25 @t48 @t41)) % 64.10/64.61 (define @t77 () (tptp.c_member @t25 @t48 @t38)) % 64.10/64.61 (define @t78 () (tptp.hBOOL (tptp.hAPP @t41 @t48))) % 64.10/64.61 (define @t79 () (@list @t41 @t48 @t25)) % 64.10/64.61 (define @t80 () (@var "V_x_H_2" $$unsorted)) % 64.10/64.61 (define @t81 () (@var "V_g_H_2" $$unsorted)) % 64.10/64.61 (define @t82 () (@var "V_f_H_2" $$unsorted)) % 64.10/64.61 (define @t83 () (@var "T_e" $$unsorted)) % 64.10/64.61 (define @t84 () (@var "T_d" $$unsorted)) % 64.10/64.61 (define @t85 () (@var "T_c" $$unsorted)) % 64.10/64.61 (define @t86 () (tptp.hAPP (tptp.c_Fun_Ocomp @t26 @t25 @t85 @t2 @t1) @t48)) % 64.10/64.61 (define @t87 () (tptp.hAPP @t1 @t48)) % 64.10/64.61 (define @t88 () (tptp.hAPP @t2 @t87)) % 64.10/64.61 (define @t89 () (@list @t22 @t25 @t26)) % 64.10/64.61 (define @t90 () (@var "V_P_Ha_2" $$unsorted)) % 64.10/64.61 (define @t91 () (tptp.hAPP tptp.v_F @t90)) % 64.10/64.61 (define @t92 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t24 @t23)) % 64.10/64.61 (define @t93 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t23 @t24)) % 64.10/64.61 (define @t94 () (tptp.c_member @t11 @t93 (tptp.hAPP tptp.v_F @t61))) % 64.10/64.61 (define @t95 () (tptp.hAPP @t90 @t9)) % 64.10/64.61 (define @t96 () (tptp.c_member @t11 @t93 (tptp.hAPP @t61 @t9))) % 64.10/64.61 (define @t97 () (tptp.c_member @t19 @t90 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.10/64.61 (define @t98 () (tptp.c_member @t19 @t61 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.10/64.61 (define @t99 () (not @t73)) % 64.10/64.61 (define @t100 () (@var "V_b_H_2" $$unsorted)) % 64.10/64.61 (define @t101 () (@var "V_a_H_2" $$unsorted)) % 64.10/64.61 (define @t102 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t101 @t100)) % 64.10/64.61 (define @t103 () (tptp.c_member @t11 @t102 @t91)) % 64.10/64.61 (define @t104 () (=> @t94 @t103)) % 64.10/64.61 (define @t105 () (forall @t17 (= @t96 (tptp.c_member @t11 @t102 @t95)))) % 64.10/64.61 (define @t106 () (=> @t105 @t104)) % 64.10/64.61 (define @t107 () (=> @t97 @t106)) % 64.10/64.61 (define @t108 () (=> @t98 @t107)) % 64.10/64.61 (define @t109 () (= @t24 @t101)) % 64.10/64.61 (define @t110 () (not @t109)) % 64.10/64.61 (define @t111 () (=> @t110 @t108)) % 64.10/64.61 (define @t112 () (= @t23 @t100)) % 64.10/64.61 (define @t113 () (not @t112)) % 64.10/64.61 (define @t114 () (=> @t113 @t111)) % 64.10/64.61 (define @t115 () (not (= @t101 @t100))) % 64.10/64.61 (define @t116 () (=> @t115 @t114)) % 64.10/64.61 (define @t117 () (=> @t99 @t116)) % 64.10/64.61 (define @t118 () (@list @t90 @t61 @t100 @t101 @t24 @t23)) % 64.10/64.61 (define @t119 () (forall @t118 @t117)) % 64.10/64.61 (define @t120 () (= @t94 @t103)) % 64.10/64.61 (define @t121 () (=> @t105 @t120)) % 64.10/64.61 (define @t122 () (=> @t97 @t121)) % 64.10/64.61 (define @t123 () (=> @t98 @t122)) % 64.10/64.61 (define @t124 () (=> @t110 @t123)) % 64.10/64.61 (define @t125 () (=> @t113 @t124)) % 64.10/64.61 (define @t126 () (=> @t115 @t125)) % 64.10/64.61 (define @t127 () (=> @t99 @t126)) % 64.10/64.61 (define @t128 () (forall @t118 @t127)) % 64.10/64.61 (define @t129 () (@var "B_xa" $$unsorted)) % 64.10/64.61 (define @t130 () (@var "V_Fa_2" $$unsorted)) % 64.10/64.61 (define @t131 () (@var "B_b" $$unsorted)) % 64.10/64.61 (define @t132 () (@var "B_a" $$unsorted)) % 64.10/64.61 (define @t133 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t132 @t131)) % 64.10/64.61 (define @t134 () (tptp.hAPP @t130 @t3)) % 64.10/64.61 (define @t135 () (tptp.c_member @t11 @t133 @t134)) % 64.10/64.61 (define @t136 () (tptp.c_member @t11 @t133 (tptp.hAPP @t3 @t9))) % 64.10/64.61 (define @t137 () (@list @t132 @t131)) % 64.10/64.61 (define @t138 () (@list @t129)) % 64.10/64.61 (define @t139 () (tptp.c_member @t19 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.10/64.61 (define @t140 () (@list @t130)) % 64.10/64.61 (define @t141 () (@var "V_s_2" $$unsorted)) % 64.10/64.61 (define @t142 () (= @t23 @t101)) % 64.10/64.61 (define @t143 () (tptp.c_Product__Type_OPair @t25 @t26 @t101 @t100)) % 64.10/64.61 (define @t144 () (@var "V_i_2" $$unsorted)) % 64.10/64.61 (define @t145 () (@var "B_y" $$unsorted)) % 64.10/64.61 (define @t146 () (@var "V_yx_2" $$unsorted)) % 64.10/64.61 (define @t147 () (@list @t3 @t145)) % 64.10/64.61 (define @t148 () (tptp.c_Relation_ORange @t25 @t26 @t22)) % 64.10/64.61 (define @t149 () (tptp.c_Relation_OId__on @t25 @t41)) % 64.10/64.61 (define @t150 () (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t24)) % 64.10/64.61 (define @t151 () (@list @t41 @t25)) % 64.10/64.61 (define @t152 () (tptp.c_Relation_Oconverse @t25 @t25)) % 64.10/64.61 (define @t153 () (@list @t145)) % 64.10/64.61 (define @t154 () (tptp.c_Relation_ORange @t26 @t25 @t22)) % 64.10/64.61 (define @t155 () (@list @t22 @t26 @t23 @t25)) % 64.10/64.61 (define @t156 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t47)) % 64.10/64.61 (define @t157 () (@list @t41 @t47 @t48 @t25)) % 64.10/64.61 (define @t158 () (tptp.c_member @t25 @t3 @t41)) % 64.10/64.61 (define @t159 () (tptp.c_Relation_ODomain @t25 @t26 @t22)) % 64.10/64.61 (define @t160 () (tptp.c_member @t25 @t23 @t159)) % 64.10/64.61 (define @t161 () (tptp.c_Wellfounded_Oacc @t25 @t22)) % 64.10/64.61 (define @t162 () (tptp.c_member @t25 @t3 @t161)) % 64.10/64.61 (define @t163 () (tptp.c_member @t25 @t23 @t161)) % 64.10/64.61 (define @t164 () (@list @t22 @t23 @t25)) % 64.10/64.61 (define @t165 () (tptp.c_member @t69 @t150 @t22)) % 64.10/64.61 (define @t166 () (tptp.c_member @t25 @t24 @t161)) % 64.10/64.61 (define @t167 () (tptp.c_Relation_Ototal__on @t25 @t41 @t22)) % 64.10/64.61 (define @t168 () (@list @t22 @t41 @t25)) % 64.10/64.61 (define @t169 () (tptp.hAPP @t2 @t47)) % 64.10/64.61 (define @t170 () (tptp.hAPP @t2 @t48)) % 64.10/64.61 (define @t171 () (tptp.c_member @t69 @t156 @t22)) % 64.10/64.61 (define @t172 () (tptp.c_Relation_Orefl__on @t25 @t41 @t22)) % 64.10/64.61 (define @t173 () (@list @t47 @t48 @t22 @t41 @t25)) % 64.10/64.61 (define @t174 () (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t23)) % 64.10/64.61 (define @t175 () (tptp.c_member @t69 @t174 @t22)) % 64.10/64.61 (define @t176 () (tptp.hAPP @t152 @t22)) % 64.10/64.61 (define @t177 () (tptp.c_Relation_ODomain @t25 @t26 @t31)) % 64.10/64.61 (define @t178 () (@list @t22 @t26 @t25)) % 64.10/64.61 (define @t179 () (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t23 @t145) @t22)) % 64.10/64.61 (define @t180 () (tptp.c_Wellfounded_Oacc @t25 @t59)) % 64.10/64.61 (define @t181 () (@var "B_z" $$unsorted)) % 64.10/64.61 (define @t182 () (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t181 @t48) @t59)) % 64.10/64.61 (define @t183 () (@list @t181)) % 64.10/64.61 (define @t184 () (tptp.c_member @t25 @t48 @t161)) % 64.10/64.61 (define @t185 () (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t145 @t48) @t22)) % 64.10/64.61 (define @t186 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t22)) % 64.10/64.61 (define @t187 () (tptp.c_Product__Type_OPair @t25 @t25 @t24 @t23)) % 64.10/64.61 (define @t188 () (tptp.c_member @t69 @t187 @t186)) % 64.10/64.61 (define @t189 () (@var "B_g" $$unsorted)) % 64.10/64.61 (define @t190 () (@var "V_a1_2" $$unsorted)) % 64.10/64.61 (define @t191 () (forall @t183 (=> (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t181 @t190) @t59) (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t59 @t130 @t181 (tptp.hAPP @t189 @t181))))) % 64.10/64.61 (define @t192 () (tptp.hAPP (tptp.hAPP @t130 @t189) @t190)) % 64.10/64.61 (define @t193 () (@var "V_a2_2" $$unsorted)) % 64.10/64.61 (define @t194 () (tptp.hAPP (tptp.hAPP @t130 @t193) @t190)) % 64.10/64.61 (define @t195 () (@list @t189)) % 64.10/64.61 (define @t196 () (@list @t193 @t190 @t130 @t59 @t26 @t25)) % 64.10/64.61 (define @t197 () (tptp.c_member @t14 @t46 tptp.c_Arrow__Order__Mirabelle_OLin)) % 64.10/64.61 (define @t198 () (@var "B_v" $$unsorted)) % 64.10/64.61 (define @t199 () (@var "V_d_2" $$unsorted)) % 64.10/64.61 (define @t200 () (tptp.c_Fun_Ocomp @t85 @t26 @t25 @t23 @t24)) % 64.10/64.61 (define @t201 () (= @t200 (tptp.c_Fun_Ocomp @t84 @t26 @t25 @t39 @t199))) % 64.10/64.61 (define @t202 () (@list @t48 @t46)) % 64.10/64.61 (define @t203 () (@var "V_h_2" $$unsorted)) % 64.10/64.61 (define @t204 () (@var "V_v_2" $$unsorted)) % 64.10/64.61 (define @t205 () (tptp.hAPP @t23 (tptp.hAPP @t24 @t204))) % 64.10/64.61 (define @t206 () (@var "V_p_2" $$unsorted)) % 64.10/64.61 (define @t207 () (tptp.c_member @t69 @t206 @t22)) % 64.10/64.61 (define @t208 () (@list @t22 @t206 @t25)) % 64.10/64.61 (define @t209 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t59)) % 64.10/64.61 (define @t210 () (tptp.c_member @t69 @t156 @t209)) % 64.10/64.61 (define @t211 () (= @t47 @t24)) % 64.10/64.61 (define @t212 () (= @t48 @t23)) % 64.10/64.61 (define @t213 () (= @t48 @t24)) % 64.10/64.61 (define @t214 () (@list @t47 @t48 @t46 @t24 @t23)) % 64.10/64.61 (define @t215 () (= @t47 @t23)) % 64.10/64.61 (define @t216 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t176)) % 64.10/64.61 (define @t217 () (tptp.c_member @t69 @t156 @t216)) % 64.10/64.61 (define @t218 () (tptp.c_Product__Type_OPair @t25 @t25 @t47 @t48)) % 64.10/64.61 (define @t219 () (tptp.c_member @t69 @t218 @t186)) % 64.10/64.61 (define @t220 () (@list @t22 @t48 @t47 @t25)) % 64.10/64.61 (define @t221 () (@list @t22 @t47 @t48 @t25)) % 64.10/64.61 (define @t222 () (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t39)) % 64.10/64.61 (define @t223 () (tptp.c_member @t69 @t222 @t186)) % 64.10/64.61 (define @t224 () (tptp.c_Product__Type_OPair @t25 @t25 @t24 @t39)) % 64.10/64.61 (define @t225 () (tptp.c_member @t69 @t224 @t186)) % 64.10/64.61 (define @t226 () (=> @t225 @t223)) % 64.10/64.61 (define @t227 () (@list @t39 @t22 @t24 @t23 @t25)) % 64.10/64.61 (define @t228 () (tptp.c_member @t69 @t224 @t22)) % 64.10/64.61 (define @t229 () (tptp.c_member @t69 @t150 @t186)) % 64.10/64.61 (define @t230 () (@list @t46 @t47 @t48)) % 64.10/64.61 (define @t231 () (tptp.c_Product__Type_OPair @t25 @t25 @t47 @t51)) % 64.10/64.61 (define @t232 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t51)) % 64.10/64.61 (define @t233 () (tptp.c_member @t69 @t232 @t186)) % 64.10/64.61 (define @t234 () (tptp.c_member @t69 @t156 @t186)) % 64.10/64.61 (define @t235 () (@var "V_by_2" $$unsorted)) % 64.10/64.61 (define @t236 () (@var "V_bx_2" $$unsorted)) % 64.10/64.61 (define @t237 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t236) @t235))) % 64.10/64.61 (define @t238 () (@var "B_ba" $$unsorted)) % 64.10/64.61 (define @t239 () (@var "B_aa" $$unsorted)) % 64.10/64.61 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t239) @t238))) % 64.10/64.61 (define @t241 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t132) @t131))) % 64.10/64.61 (define @t242 () (tptp.c_Product__Type_OPair @t25 @t26 @t239 @t238)) % 64.10/64.61 (define @t243 () (tptp.c_Product__Type_OPair @t25 @t26 @t132 @t131)) % 64.10/64.61 (define @t244 () (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t243 @t242) @t22)) % 64.10/64.61 (define @t245 () (tptp.c_Transitive__Closure_Ortrancl @t33 @t22)) % 64.10/64.61 (define @t246 () (@var "V_ay_2" $$unsorted)) % 64.10/64.61 (define @t247 () (@var "V_ax_2" $$unsorted)) % 64.10/64.61 (define @t248 () (tptp.c_Product__Type_OPair @t25 @t26 @t247 @t246)) % 64.10/64.61 (define @t249 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t247) @t246))) % 64.10/64.61 (define @t250 () (tptp.c_Product__Type_OPair @t25 @t26 @t236 @t235)) % 64.10/64.61 (define @t251 () (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t248 @t250) @t245)) % 64.10/64.61 (define @t252 () (@list @t61 @t22 @t235 @t236 @t246 @t247 @t26 @t25)) % 64.10/64.61 (define @t253 () (@var "V_zb_2" $$unsorted)) % 64.10/64.61 (define @t254 () (@var "V_za_2" $$unsorted)) % 64.10/64.61 (define @t255 () (tptp.c_Product__Type_OPair @t25 @t26 @t254 @t253)) % 64.10/64.61 (define @t256 () (@var "V_xb_2" $$unsorted)) % 64.10/64.61 (define @t257 () (@var "V_xa_2" $$unsorted)) % 64.10/64.61 (define @t258 () (tptp.c_Product__Type_OPair @t25 @t26 @t257 @t256)) % 64.10/64.61 (define @t259 () (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t145) @t186)) % 64.10/64.61 (define @t260 () (@list @t22 @t24 @t23 @t25)) % 64.10/64.61 (define @t261 () (forall @t147 (=> (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t3 @t145) @t22) (forall @t183 (=> (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t3 @t181) @t22) (= @t145 @t181)))))) % 64.10/64.61 (define @t262 () (tptp.c_Relation_Osingle__valued @t25 @t26 @t22)) % 64.10/64.61 (define @t263 () (tptp.hBOOL (tptp.hAPP @t61 @t24))) % 64.10/64.61 (define @t264 () (tptp.hBOOL (tptp.hAPP @t61 @t181))) % 64.10/64.61 (define @t265 () (tptp.hBOOL (tptp.hAPP @t61 @t145))) % 64.10/64.61 (define @t266 () (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t145 @t181) @t22)) % 64.10/64.61 (define @t267 () (tptp.hBOOL (tptp.hAPP @t61 @t23))) % 64.10/64.61 (define @t268 () (@list @t61 @t22 @t24 @t23 @t25)) % 64.10/64.61 (define @t269 () (tptp.c_Product__Type_OPair @t25 @t25 @t145 @t51)) % 64.10/64.61 (define @t270 () (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t145) @t22)) % 64.10/64.61 (define @t271 () (@list @t22 @t51 @t48 @t25)) % 64.10/64.61 (define @t272 () (tptp.c_Transitive__Closure_Otrancl @t25 @t22)) % 64.10/64.61 (define @t273 () (tptp.c_member @t69 @t150 @t272)) % 64.10/64.61 (define @t274 () (@var "B_f" $$unsorted)) % 64.10/64.61 (define @t275 () (@var "B_R" $$unsorted)) % 64.10/64.61 (define @t276 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t23)) % 64.10/64.61 (define @t277 () (tptp.c_member @t69 @t206 @t272)) % 64.10/64.61 (define @t278 () (tptp.c_Transitive__Closure_Otrancl @t25 @t59)) % 64.10/64.61 (define @t279 () (@list @t59 @t25)) % 64.10/64.61 (define @t280 () (tptp.hAPP @t152 @t272)) % 64.10/64.61 (define @t281 () (tptp.c_Transitive__Closure_Otrancl @t25 @t176)) % 64.10/64.61 (define @t282 () (tptp.c_member @t69 @t222 @t272)) % 64.10/64.61 (define @t283 () (=> (tptp.c_member @t69 @t224 @t272) @t282)) % 64.10/64.61 (define @t284 () (=> @t228 @t282)) % 64.10/64.61 (define @t285 () (tptp.c_member @t69 @t232 @t272)) % 64.10/64.61 (define @t286 () (=> @t225 @t282)) % 64.10/64.61 (define @t287 () (tptp.c_member @t69 @t156 @t278)) % 64.10/64.61 (define @t288 () (@list @t59 @t47 @t48 @t25)) % 64.10/64.61 (define @t289 () (tptp.c_member @t69 @t156 @t280)) % 64.10/64.61 (define @t290 () (tptp.c_member @t69 @t156 @t281)) % 64.10/64.61 (define @t291 () (tptp.c_Recdef_Ocut @t25 @t26 @t2 @t22 @t23)) % 64.10/64.61 (define @t292 () (tptp.c_member @t69 @t276 @t22)) % 64.10/64.61 (define @t293 () (tptp.c_Product__Type_OPair @t25 @t25 @t181 @t47)) % 64.10/64.61 (define @t294 () (tptp.c_Product__Type_OPair @t25 @t25 @t48 @t181)) % 64.10/64.61 (define @t295 () (forall @t6 (not (tptp.c_member @t69 @t68 @t272)))) % 64.10/64.61 (define @t296 () (tptp.c_Wellfounded_Oacyclic @t25 @t22)) % 64.10/64.61 (define @t297 () (@var "B_c" $$unsorted)) % 64.10/64.61 (define @t298 () (not @t234)) % 64.10/64.61 (define @t299 () (tptp.c_Set_Oinsert @t69 @t218 @t22)) % 64.10/64.61 (define @t300 () (tptp.c_Relation_OId @t25)) % 64.10/64.61 (define @t301 () (@list @t23 @t25)) % 64.10/64.61 (define @t302 () (@var "B_L" $$unsorted)) % 64.10/64.61 (define @t303 () (@var "B_x1" $$unsorted)) % 64.10/64.61 (define @t304 () (tptp.c_Set_Oinsert @t25 @t24 @t38)) % 64.10/64.61 (define @t305 () (tptp.c_member @t25 @t23 @t304)) % 64.10/64.61 (define @t306 () (tptp.c_member @t25 @t23 @t38)) % 64.10/64.61 (define @t307 () (@list @t24 @t38 @t23 @t25)) % 64.10/64.61 (define @t308 () (tptp.c_member @t25 @t23 (tptp.c_Set_Oinsert @t25 @t24 @t41))) % 64.10/64.61 (define @t309 () (@list @t41 @t24 @t23 @t25)) % 64.10/64.61 (define @t310 () (tptp.c_Set_Oinsert @t25 @t47 @t41)) % 64.10/64.61 (define @t311 () (tptp.c_Set_Oinsert @t25 @t48 @t41)) % 64.10/64.61 (define @t312 () (@list @t25)) % 64.10/64.61 (define @t313 () (tptp.c_Set_Oinsert @t25 @t23 @t41)) % 64.10/64.61 (define @t314 () (@list @t41 @t23 @t25)) % 64.10/64.61 (define @t315 () (tptp.c_Set_Oinsert @t25 @t48 @t38)) % 64.10/64.61 (define @t316 () (not @t76)) % 64.10/64.61 (define @t317 () (@list @t38 @t41 @t48 @t25)) % 64.10/64.61 (define @t318 () (tptp.c_Set_Oinsert @t25 @t23 @t38)) % 64.10/64.61 (define @t319 () (tptp.c_Relation_Oantisym @t25 @t22)) % 64.10/64.61 (define @t320 () (@list @t24 @t23 @t25)) % 64.10/64.61 (define @t321 () (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t145 @t3) @t22)) % 64.10/64.61 (define @t322 () (forall @t147 (=> (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t145) @t22) (=> @t321 (= @t3 @t145))))) % 64.10/64.61 (define @t323 () (@var "V_b_H" $$unsorted)) % 64.10/64.61 (define @t324 () (@var "V_b" $$unsorted)) % 64.10/64.61 (define @t325 () (@var "V_a_H" $$unsorted)) % 64.10/64.61 (define @t326 () (@var "V_a" $$unsorted)) % 64.10/64.61 (define @t327 () (@var "V_f1_2" $$unsorted)) % 64.10/64.61 (define @t328 () (tptp.c_Product__Type_OPair @t26 @t85 @t23 @t24)) % 64.10/64.61 (define @t329 () (tptp.c_Wellfounded_Owf @t25 @t22)) % 64.10/64.61 (define @t330 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t25 @t26 tptp.tc_HOL_Obool @t2 @t23 @t24))) % 64.10/64.61 (define @t331 () (tptp.hBOOL (tptp.hAPP @t2 @t32))) % 64.10/64.61 (define @t332 () (@var "V_rb_2" $$unsorted)) % 64.10/64.61 (define @t333 () (@var "V_ra_2" $$unsorted)) % 64.10/64.61 (define @t334 () (forall @t6 @t162)) % 64.10/64.61 (define @t335 () (tptp.c_Wellfounded_Owf @t25 @t176)) % 64.10/64.61 (define @t336 () (tptp.c_Wellfounded_Omeasure @t25)) % 64.10/64.61 (define @t337 () (tptp.hAPP @t336 @t2)) % 64.10/64.61 (define @t338 () (@var "B_M" $$unsorted)) % 64.10/64.61 (define @t339 () (tptp.c_Recdef_Owfrec @t25 @t26 @t275 @t338)) % 64.10/64.61 (define @t340 () (@var "V_H_2" $$unsorted)) % 64.10/64.61 (define @t341 () (tptp.c_Recdef_Owfrec @t25 @t26 @t22 @t340)) % 64.10/64.61 (define @t342 () (@var "B_Q" $$unsorted)) % 64.10/64.61 (define @t343 () (tptp.c_member @t25 @t3 @t342)) % 64.10/64.61 (define @t344 () (tptp.hBOOL (tptp.hAPP @t61 @t3))) % 64.10/64.61 (define @t345 () (tptp.c_Wellfounded_Owf @t25 @t59)) % 64.10/64.61 (define @t346 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t169)) % 64.10/64.61 (define @t347 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 64.10/64.61 (define @t348 () (@list @t47 @t48)) % 64.10/64.61 (define @t349 () (tptp.c_Wellfounded_Omlex__prod @t25 @t2 @t59)) % 64.10/64.61 (define @t350 () (tptp.c_member @t69 @t156 @t349)) % 64.10/64.61 (define @t351 () (@list @t59 @t25 @t47 @t48 @t2)) % 64.10/64.61 (define @t352 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 64.10/64.61 (define @t353 () (tptp.c_Finite__Set_Ofinite @t69 @t22)) % 64.10/64.61 (define @t354 () (tptp.tc_fun @t25 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t355 () (@var "V_m_2" $$unsorted)) % 64.10/64.61 (define @t356 () (@var "V_n_2" $$unsorted)) % 64.10/64.61 (define @t357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t356) @t355))) % 64.10/64.61 (define @t358 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t356 @t355)) % 64.10/64.61 (define @t359 () (= @t355 @t356)) % 64.10/64.61 (define @t360 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t355 @t356)) % 64.10/64.61 (define @t361 () (tptp.c_Finite__Set_Ofinite @t33 @t22)) % 64.10/64.61 (define @t362 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t355 @t356)) % 64.10/64.61 (define @t363 () (@list @t356 @t355)) % 64.10/64.61 (define @t364 () (@var "V_n" $$unsorted)) % 64.10/64.61 (define @t365 () (@list @t364)) % 64.10/64.61 (define @t366 () (not @t359)) % 64.10/64.61 (define @t367 () (@var "V_x" $$unsorted)) % 64.10/64.61 (define @t368 () (@var "V_y" $$unsorted)) % 64.10/64.61 (define @t369 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t368)) % 64.10/64.61 (define @t370 () (= @t367 @t368)) % 64.10/64.61 (define @t371 () (not @t370)) % 64.10/64.61 (define @t372 () (@list @t368 @t367)) % 64.10/64.61 (define @t373 () (@var "V_m" $$unsorted)) % 64.10/64.61 (define @t374 () (= @t373 @t364)) % 64.10/64.61 (define @t375 () (not @t374)) % 64.10/64.61 (define @t376 () (@var "V_t" $$unsorted)) % 64.10/64.61 (define @t377 () (@var "V_s" $$unsorted)) % 64.10/64.61 (define @t378 () (tptp.c_Finite__Set_Ofinite @t25 @t313)) % 64.10/64.61 (define @t379 () (tptp.c_Finite__Set_Ofinite @t25 @t41)) % 64.10/64.61 (define @t380 () (tptp.c_Wellfounded_Ofinite__psubset @t25)) % 64.10/64.61 (define @t381 () (tptp.hAPP @t130 @t41)) % 64.10/64.61 (define @t382 () (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t381 @t170)) % 64.10/64.61 (define @t383 () (tptp.hAPP @t130 @t311)) % 64.10/64.61 (define @t384 () (= @t383 @t382)) % 64.10/64.61 (define @t385 () (tptp.c_Finite__Set_Ofolding__idem @t25 @t26 @t2 @t130)) % 64.10/64.61 (define @t386 () (@list @t48 @t41 @t130 @t2 @t26 @t25)) % 64.10/64.61 (define @t387 () (tptp.c_Finite__Set_Ofolding @t25 @t26 @t2 @t130)) % 64.10/64.61 (define @t388 () (tptp.hAPP @t88 @t381)) % 64.10/64.61 (define @t389 () (= (tptp.hAPP @t130 (tptp.c_Set_Oinsert @t26 @t48 @t41)) @t388)) % 64.10/64.61 (define @t390 () (tptp.c_member @t26 @t48 @t41)) % 64.10/64.61 (define @t391 () (tptp.c_Finite__Set_Ofinite @t26 @t41)) % 64.10/64.61 (define @t392 () (tptp.c_Finite__Set_Ofolding__image__simple @t25 @t26 @t2 @t51 @t1 @t130)) % 64.10/64.61 (define @t393 () (@list @t48 @t41 @t130 @t1 @t51 @t2 @t26 @t25)) % 64.10/64.61 (define @t394 () (@var "T_f" $$unsorted)) % 64.10/64.61 (define @t395 () (@var "V_fa_2" $$unsorted)) % 64.10/64.61 (define @t396 () (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t170 @t1)) % 64.10/64.61 (define @t397 () (tptp.hAPP @t130 @t38)) % 64.10/64.61 (define @t398 () (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t381 @t1)) % 64.10/64.61 (define @t399 () (tptp.c_Finite__Set_Ofinite @t25 @t38)) % 64.10/64.61 (define @t400 () (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t381 @t397)) % 64.10/64.61 (define @t401 () (@list @t38 @t41 @t130 @t2 @t26 @t25)) % 64.10/64.61 (define @t402 () (@var "V_t_2" $$unsorted)) % 64.10/64.61 (define @t403 () (tptp.c_Product__Type_OPair @t347 @t347 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t23 @t141) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t24 @t402))) % 64.10/64.61 (define @t404 () (tptp.tc_prod @t347 @t347)) % 64.10/64.61 (define @t405 () (tptp.c_member @t404 @t403 tptp.c_FunDef_Opair__leq)) % 64.10/64.61 (define @t406 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t24)) % 64.10/64.61 (define @t407 () (@list @t402 @t141 @t24 @t23)) % 64.10/64.61 (define @t408 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t25 @t26 @t2 @t51 @t1 @t130)) % 64.10/64.61 (define @t409 () (tptp.c_member @t404 @t403 tptp.c_FunDef_Opair__less)) % 64.10/64.61 (define @t410 () (@var "V_YS_2" $$unsorted)) % 64.10/64.61 (define @t411 () (@var "V_XS_2" $$unsorted)) % 64.10/64.61 (define @t412 () (tptp.tc_fun @t347 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t413 () (tptp.tc_prod @t412 @t412)) % 64.10/64.61 (define @t414 () (tptp.c_Product__Type_OPair @t412 @t412 @t411 @t410)) % 64.10/64.61 (define @t415 () (tptp.c_Product__Type_OPair @t347 @t347 @t48 @t47)) % 64.10/64.61 (define @t416 () (tptp.c_member @t404 @t415 tptp.c_FunDef_Opair__leq)) % 64.10/64.61 (define @t417 () (tptp.c_Product__Type_OPair @t412 @t412 @t411 (tptp.c_Set_Oinsert @t347 @t47 @t410))) % 64.10/64.61 (define @t418 () (tptp.c_member @t347 @t48 @t411)) % 64.10/64.61 (define @t419 () (@list @t410 @t47 @t411 @t48)) % 64.10/64.61 (define @t420 () (@var "V_Y_2" $$unsorted)) % 64.10/64.61 (define @t421 () (@var "V_X_2" $$unsorted)) % 64.10/64.61 (define @t422 () (tptp.c_member @t404 @t415 tptp.c_FunDef_Opair__less)) % 64.10/64.61 (define @t423 () (tptp.tc_fun @t413 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t24)) % 64.10/64.61 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t373 @t364)) % 64.10/64.61 (define @t426 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t364)) % 64.10/64.61 (define @t427 () (@list @t364 @t373)) % 64.10/64.61 (define @t428 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t355 @t356)) % 64.10/64.61 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t364 @t373)) % 64.10/64.61 (define @t430 () (@var "V_k" $$unsorted)) % 64.10/64.61 (define @t431 () (@var "V_i" $$unsorted)) % 64.10/64.61 (define @t432 () (@var "V_j" $$unsorted)) % 64.10/64.61 (define @t433 () (tptp.class_Orderings_Opreorder @t25)) % 64.10/64.61 (define @t434 () (@list @t367 @t25)) % 64.10/64.61 (define @t435 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t47 @t48)) % 64.10/64.61 (define @t436 () (tptp.c_Orderings_Oord__class_Oless @t25 @t48 @t47)) % 64.10/64.61 (define @t437 () (not @t436)) % 64.10/64.61 (define @t438 () (tptp.class_Orderings_Olinorder @t25)) % 64.10/64.61 (define @t439 () (@list @t47 @t48 @t25)) % 64.10/64.61 (define @t440 () (tptp.c_Orderings_Oord__class_Oless @t25 @t47 @t48)) % 64.10/64.61 (define @t441 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t48 @t47)) % 64.10/64.61 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t25 @t368 @t367)) % 64.10/64.61 (define @t443 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t367 @t368)) % 64.10/64.61 (define @t444 () (@list @t368 @t367 @t25)) % 64.10/64.61 (define @t445 () (=> @t42 @t40)) % 64.10/64.61 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t38)) % 64.10/64.61 (define @t447 () (@list @t39 @t38 @t41 @t25)) % 64.10/64.61 (define @t448 () (@list @t48 @t38 @t41 @t25)) % 64.10/64.61 (define @t449 () (tptp.tc_fun @t69 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t450 () (@list @t206 @t22 @t25)) % 64.10/64.61 (define @t451 () (@var "V_D_2" $$unsorted)) % 64.10/64.61 (define @t452 () (@var "V_C_2" $$unsorted)) % 64.10/64.61 (define @t453 () (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t22 @t141)) % 64.10/64.61 (define @t454 () (@list @t141 @t22 @t25)) % 64.10/64.61 (define @t455 () (tptp.tc_fun @t33 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq @t455 @t22 @t141)) % 64.10/64.61 (define @t457 () (@list @t141 @t22 @t26 @t25)) % 64.10/64.61 (define @t458 () (@var "V_R1_2" $$unsorted)) % 64.10/64.61 (define @t459 () (@var "V_R2_2" $$unsorted)) % 64.10/64.61 (define @t460 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t141)) % 64.10/64.61 (define @t461 () (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t186 @t460)) % 64.10/64.61 (define @t462 () (@var "V_S_2" $$unsorted)) % 64.10/64.61 (define @t463 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t462)) % 64.10/64.61 (define @t464 () (@list @t462 @t59 @t25)) % 64.10/64.61 (define @t465 () (@list @t38 @t41 @t25)) % 64.10/64.61 (define @t466 () (@list @t41 @t38 @t25)) % 64.10/64.61 (define @t467 () (tptp.c_Orderings_Oord__class_Oless @t354 @t41 @t38)) % 64.10/64.61 (define @t468 () (tptp.tc_fun @t26 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t469 () (@list @t38 @t41 @t130 @t1 @t51 @t2 @t26 @t25)) % 64.10/64.61 (define @t470 () (tptp.tc_fun @t25 @t26)) % 64.10/64.61 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq @t470 @t2 @t1)) % 64.10/64.61 (define @t472 () (tptp.class_Orderings_Oord @t26)) % 64.10/64.61 (define @t473 () (@list @t1 @t2 @t25 @t26)) % 64.10/64.61 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t368 @t367)) % 64.10/64.61 (define @t475 () (tptp.class_Orderings_Oorder @t25)) % 64.10/64.61 (define @t476 () (= @t441 @t54)) % 64.10/64.61 (define @t477 () (@list @t48 @t47 @t25)) % 64.10/64.61 (define @t478 () (@var "V_c" $$unsorted)) % 64.10/64.61 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t326 @t478)) % 64.10/64.61 (define @t480 () (= @t326 @t324)) % 64.10/64.61 (define @t481 () (tptp.class_Orderings_Oord @t25)) % 64.10/64.61 (define @t482 () (@list @t478 @t324 @t326 @t25)) % 64.10/64.61 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t478 @t326)) % 64.10/64.61 (define @t484 () (= @t324 @t478)) % 64.10/64.61 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t326 @t324)) % 64.10/64.61 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t324 @t326)) % 64.10/64.61 (define @t487 () (@list @t478 @t326 @t324 @t25)) % 64.10/64.61 (define @t488 () (@var "V_z" $$unsorted)) % 64.10/64.61 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t368 @t488)) % 64.10/64.61 (define @t490 () (@list @t488 @t368 @t367 @t25)) % 64.10/64.61 (define @t491 () (@list @t367 @t368 @t25)) % 64.10/64.61 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t488 @t368)) % 64.10/64.61 (define @t493 () (@list @t488 @t367 @t368 @t25)) % 64.10/64.61 (define @t494 () (tptp.c_Orderings_Oord__class_Oless @t25 @t367 @t368)) % 64.10/64.61 (define @t495 () (= @t437 @t54)) % 64.10/64.61 (define @t496 () (not @t494)) % 64.10/64.61 (define @t497 () (tptp.c_Orderings_Oord__class_Oless @t25 @t324 @t326)) % 64.10/64.61 (define @t498 () (tptp.c_Orderings_Oord__class_Oless @t25 @t326 @t324)) % 64.10/64.61 (define @t499 () (@list @t324 @t326 @t25)) % 64.10/64.61 (define @t500 () (@list @t326 @t324 @t25)) % 64.10/64.61 (define @t501 () (tptp.c_Orderings_Oord__class_Oless @t25 @t326 @t478)) % 64.10/64.61 (define @t502 () (tptp.c_Orderings_Oord__class_Oless @t25 @t478 @t326)) % 64.10/64.61 (define @t503 () (tptp.c_Orderings_Oord__class_Oless @t25 @t367 @t488)) % 64.10/64.61 (define @t504 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t368 @t488) @t503)) % 64.10/64.61 (define @t505 () (tptp.c_Orderings_Oord__class_Oless @t25 @t488 @t367)) % 64.10/64.61 (define @t506 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t488 @t368) @t505)) % 64.10/64.61 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t38 @t41)) % 64.10/64.61 (define @t508 () (tptp.c_Product__Type_OPair @t354 @t354 @t41 @t38)) % 64.10/64.61 (define @t509 () (tptp.tc_prod @t354 @t354)) % 64.10/64.61 (define @t510 () (not @t480)) % 64.10/64.61 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t449 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t59 @t462) @t59)) % 64.10/64.61 (define @t512 () (tptp.c_Orderings_Obot__class_Obot @t412)) % 64.10/64.61 (define @t513 () (tptp.c_Product__Type_OPair @t412 @t412 @t421 @t512)) % 64.10/64.61 (define @t514 () (@list @t421)) % 64.10/64.61 (define @t515 () (tptp.c_Orderings_Obot__class_Obot @t354)) % 64.10/64.61 (define @t516 () (tptp.c_Orderings_Obot__class_Obot @t449)) % 64.10/64.61 (define @t517 () (tptp.c_Relation_Orel__comp @t25 @t26 @t85 @t22 @t141)) % 64.10/64.61 (define @t518 () (tptp.tc_prod @t25 @t85)) % 64.10/64.61 (define @t519 () (tptp.tc_prod @t26 @t85)) % 64.10/64.61 (define @t520 () (tptp.c_Set_Oinsert @t25 @t48 @t515)) % 64.10/64.61 (define @t521 () (= @t41 @t515)) % 64.10/64.61 (define @t522 () (@list @t25 @t38 @t41)) % 64.10/64.61 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t452)) % 64.10/64.61 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t38 @t452)) % 64.10/64.61 (define @t525 () (@list @t452 @t38 @t41 @t25)) % 64.10/64.61 (define @t526 () (@var "V_s_H_2" $$unsorted)) % 64.10/64.61 (define @t527 () (@var "V_r_H_2" $$unsorted)) % 64.10/64.61 (define @t528 () (tptp.tc_fun @t518 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t529 () (tptp.c_Orderings_Obot__class_Obot @t25)) % 64.10/64.61 (define @t530 () (tptp.class_Orderings_Obot @t25)) % 64.10/64.61 (define @t531 () (tptp.c_Orderings_Oord__class_Oless @t354 @t41 @t452)) % 64.10/64.61 (define @t532 () (=> (tptp.c_Orderings_Oord__class_Oless @t354 @t38 @t452) @t531)) % 64.10/64.61 (define @t533 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t186 @t22)) % 64.10/64.61 (define @t534 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t22 @t186)) % 64.10/64.61 (define @t535 () (tptp.tc_fun @t26 @t25)) % 64.10/64.61 (define @t536 () (not @t521)) % 64.10/64.61 (define @t537 () (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t59 @t59)) % 64.10/64.61 (define @t538 () (tptp.c_Set_Oinsert @t25 @t24 @t515)) % 64.10/64.61 (define @t539 () (tptp.c_Set_Oinsert @t25 @t23 @t515)) % 64.10/64.61 (define @t540 () (@list @t59 @t26 @t25)) % 64.10/64.61 (define @t541 () (tptp.c_Orderings_Obot__class_Obot @t455)) % 64.10/64.61 (define @t542 () (@list @t59 @t26 @t85 @t25)) % 64.10/64.61 (define @t543 () (tptp.tc_fun (tptp.tc_prod @t85 @t26) tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t544 () (@var "V_T_2" $$unsorted)) % 64.10/64.61 (define @t545 () (tptp.tc_fun @t28 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t546 () (tptp.c_Orderings_Obot__class_Obot @t545)) % 64.10/64.61 (define @t547 () (= @t24 @t23)) % 64.10/64.61 (define @t548 () (tptp.c_member @t25 @t24 @t539)) % 64.10/64.61 (define @t549 () (@list @t23 @t24 @t25)) % 64.10/64.61 (define @t550 () (tptp.c_Set_Oinsert @t413 (tptp.c_Product__Type_OPair @t412 @t412 @t512 @t512) (tptp.c_Orderings_Obot__class_Obot @t423))) % 64.10/64.61 (define @t551 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t38)) % 64.10/64.61 (define @t552 () (tptp.c_member @t25 @t39 @t551)) % 64.10/64.61 (define @t553 () (@list @t38 @t41 @t39 @t25)) % 64.10/64.61 (define @t554 () (@list @t41 @t38 @t39 @t25)) % 64.10/64.61 (define @t555 () (@var "V_G_2" $$unsorted)) % 64.10/64.61 (define @t556 () (tptp.c_Finite__Set_Ofinite @t25 @t555)) % 64.10/64.61 (define @t557 () (tptp.c_Finite__Set_Ofinite @t25 @t130)) % 64.10/64.61 (define @t558 () (tptp.c_Finite__Set_Ofinite @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t130 @t555))) % 64.10/64.61 (define @t559 () (@list @t555 @t130 @t25)) % 64.10/64.61 (define @t560 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t59 @t462)) % 64.10/64.61 (define @t561 () (tptp.c_Wellfounded_Owf @t25 @t560)) % 64.10/64.61 (define @t562 () (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t41 @t452) @t516)) % 64.10/64.61 (define @t563 () (@list @t38 @t452 @t41 @t25)) % 64.10/64.61 (define @t564 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t22 @t300)) % 64.10/64.61 (define @t565 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t560)) % 64.10/64.61 (define @t566 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t209 @t463)) % 64.10/64.61 (define @t567 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t38 @t452)) % 64.10/64.61 (define @t568 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t452)) % 64.10/64.61 (define @t569 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t567)) % 64.10/64.61 (define @t570 () (tptp.c_member @t25 @t3 @t38)) % 64.10/64.61 (define @t571 () (tptp.c_member @t25 @t3 @t551)) % 64.10/64.61 (define @t572 () (@list @t61 @t38 @t41 @t25)) % 64.10/64.61 (define @t573 () (= @t551 @t38)) % 64.10/64.61 (define @t574 () (tptp.c_Wellfounded_Omax__ext @t25 @t59)) % 64.10/64.61 (define @t575 () (tptp.tc_fun @t509 tptp.tc_HOL_Obool)) % 64.10/64.61 (define @t576 () (tptp.c_Set_Oinsert @t509 (tptp.c_Product__Type_OPair @t354 @t354 @t515 @t515) (tptp.c_Orderings_Obot__class_Obot @t575))) % 64.10/64.61 (define @t577 () (tptp.c_Wellfounded_Omin__ext @t25 @t59)) % 64.10/64.61 (define @t578 () (tptp.hBOOL (tptp.hAPP @t551 @t48))) % 64.10/64.61 (define @t579 () (tptp.hBOOL (tptp.hAPP @t38 @t48))) % 64.10/64.61 (define @t580 () (@var "V_Q_2" $$unsorted)) % 64.10/64.61 (define @t581 () (tptp.hAPP @t580 @t48)) % 64.10/64.61 (define @t582 () (tptp.hBOOL @t581)) % 64.10/64.61 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t61 @t580)) % 64.10/64.61 (define @t584 () (tptp.hBOOL (tptp.hAPP @t581 @t47))) % 64.10/64.61 (define @t585 () (tptp.hBOOL (tptp.hAPP @t66 @t47))) % 64.10/64.61 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t25 @t468) @t61 @t580)) % 64.10/64.61 (define @t587 () (tptp.class_Lattices_Olattice @t25)) % 64.10/64.61 (define @t588 () (tptp.class_Lattices_Osemilattice__sup @t25)) % 64.10/64.61 (define @t589 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t326 @t324)) % 64.10/64.61 (define @t590 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t367 @t368)) % 64.10/64.61 (define @t591 () (= @t590 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t368 @t367))) % 64.10/64.61 (define @t592 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t367 @t590) @t590)) % 64.10/64.61 (define @t593 () (@var "T_1" $$unsorted)) % 64.10/64.61 (define @t594 () (@var "T_2" $$unsorted)) % 64.10/64.61 (define @t595 () (tptp.tc_fun @t594 @t593)) % 64.10/64.61 (define @t596 () (tptp.class_Lattices_Olattice @t593)) % 64.10/64.61 (define @t597 () (@list @t594 @t593)) % 64.10/64.61 (define @t598 () (and (tptp.class_Finite__Set_Ofinite @t594) (tptp.class_Finite__Set_Ofinite @t593))) % 64.10/64.61 (define @t599 () (@list @t593 @t594)) % 64.10/64.61 (define @t600 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t48) @t47))) % 64.10/64.61 (define @t601 () (tptp.c_member @t11 @t10 (tptp.hAPP tptp.v_F tptp.v_P_H____))) % 64.10/64.61 (define @t602 () (tptp.c_member @t11 @t16 (tptp.hAPP tptp.v_F @t15))) % 64.10/64.61 (define @t603 () (= @t602 @t601)) % 64.10/64.61 (define @t604 () (not @t603)) % 64.10/64.61 (define @t605 () (not @t105)) % 64.10/64.61 (define @t606 () (not @t97)) % 64.10/64.61 (define @t607 () (not @t98)) % 64.10/64.61 (define @t608 () (= @t100 @t101)) % 64.10/64.61 (define @t609 () (or @t547 @t608 @t112 @t109 @t607 @t606 @t605 @t120)) % 64.10/64.61 (define @t610 () (or @t608 @t112 @t109 @t607 @t606 @t605 @t120)) % 64.10/64.61 (define @t611 () (or @t112 @t109 @t607 @t606 @t605 @t120)) % 64.10/64.61 (define @t612 () (or @t109 @t607 @t606 @t605 @t120)) % 64.10/64.61 (define @t613 () (or @t607 @t606 @t605 @t120)) % 64.10/64.61 (define @t614 () (or @t606 @t605 @t120)) % 64.10/64.61 (define @t615 () (not @t110)) % 64.10/64.61 (define @t616 () (not @t113)) % 64.10/64.61 (define @t617 () (not @t608)) % 64.10/64.61 (define @t618 () (not @t617)) % 64.10/64.61 (define @t619 () (=> @t617 @t125)) % 64.10/64.61 (define @t620 () (not @t547)) % 64.10/64.61 (define @t621 () (not @t620)) % 64.10/64.61 (define @t622 () (not @t18)) % 64.10/64.61 (define @t623 () (not @t21)) % 64.10/64.61 (define @t624 () (not @t20)) % 64.10/64.61 (define @t625 () (= tptp.v_c____ tptp.v_b____)) % 64.10/64.61 (define @t626 () (or @t7 @t625 @t8 @t7 @t624 @t623 @t622 @t603)) % 64.10/64.61 (define @t627 () (forall @t118 @t609)) % 64.10/64.61 (define @t628 () (@list tptp.v_P_H____ @t15 tptp.v_c____ tptp.v_b____ tptp.v_a____ tptp.v_b____)) % 64.10/64.61 (define @t629 () (= tptp.v_b____ tptp.v_a____)) % 64.10/64.61 (define @t630 () (or @t629 @t8 @t8 @t629 @t624 @t623 @t622 @t603)) % 64.10/64.61 (define @t631 () (@list false)) % 64.10/64.61 (define @t632 () (not @t94)) % 64.10/64.61 (define @t633 () (or @t547 @t608 @t112 @t109 @t607 @t606 @t605 @t632 @t103)) % 64.10/64.61 (define @t634 () (or @t608 @t112 @t109 @t607 @t606 @t605 @t632 @t103)) % 64.10/64.61 (define @t635 () (or @t112 @t109 @t607 @t606 @t605 @t632 @t103)) % 64.10/64.61 (define @t636 () (or @t109 @t607 @t606 @t605 @t632 @t103)) % 64.10/64.61 (define @t637 () (or @t607 @t606 @t605 @t632 @t103)) % 64.10/64.61 (define @t638 () (or @t606 @t605 @t632 @t103)) % 64.10/64.61 (define @t639 () (or @t605 @t632 @t103)) % 64.10/64.61 (define @t640 () (=> @t617 @t114)) % 64.10/64.61 (define @t641 () (not @t602)) % 64.10/64.61 (define @t642 () (or @t7 @t625 @t8 @t7 @t624 @t623 @t622 @t641 @t601)) % 64.10/64.61 (define @t643 () (forall @t118 @t633)) % 64.10/64.61 (define @t644 () (or @t629 @t8 @t8 @t629 @t624 @t623 @t622 @t641 @t601)) % 64.10/64.61 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 64.10/64.61 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 64.10/64.61 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 64.10/64.61 (assume @p4 (not @t7)) % 64.10/64.61 (assume @p5 (not @t8)) % 64.10/64.61 (assume @p6 (not (= tptp.v_a____ tptp.v_c____))) % 64.10/64.61 (assume @p7 @t18) % 64.10/64.61 (assume @p8 (forall @t17 (= (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____) (tptp.hAPP tptp.v_P____ @t9)) @t12))) % 64.10/64.61 (assume @p9 @t20) % 64.10/64.61 (assume @p10 @t21) % 64.10/64.61 (assume @p11 (tptp.c_member @t19 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.10/64.61 (assume @p12 (forall @t35 (= @t34 @t29))) % 64.10/64.61 (assume @p13 (forall @t35 (=> @t37 (tptp.c_member @t28 @t27 @t36)))) % 64.10/64.61 (assume @p14 (forall @t35 (=> @t34 @t29))) % 64.10/64.61 (assume @p15 (forall (@list @t39 @t25 @t38 @t41) (=> @t45 (=> (=> @t42 @t44) (not @t43))))) % 64.10/64.61 (assume @p16 (forall @t58 (= (tptp.c_member @t11 @t49 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t46 @t51)) (and @t57 (=> @t52 @t55) (=> @t53 @t50))))) % 64.10/64.61 (assume @p17 (forall @t58 (= (tptp.c_member @t11 @t49 (tptp.c_Arrow__Order__Mirabelle_Omktop @t46 @t51)) (and @t53 (=> @t56 @t55) (=> @t57 @t50))))) % 64.10/64.61 (assume @p18 (forall (@list @t47 @t48 @t59 @t26 @t25) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t25 @t26 @t59) @t48) @t47)) (tptp.c_member @t33 @t60 @t59)))) % 64.10/64.61 (assume @p19 (forall (@list @t25 @t59 @t47 @t63 @t26 @t48 @t61) (=> @t67 (=> (tptp.c_member @t65 (tptp.c_Product__Type_OPair @t26 @t26 @t63 @t47) (tptp.hAPP @t59 @t48)) (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t48 @t63) @t60) @t62))))) % 64.10/64.61 (assume @p20 (forall @t71 (= (tptp.c_Nitpick_Orefl_H @t25 @t22) (forall @t6 @t70)))) % 64.10/64.61 (assume @p21 (forall @t74 (=> @t73 (=> (tptp.c_member @t25 @t24 @t41) @t72)))) % 64.10/64.61 (assume @p22 (forall (@list @t41 @t25 @t47 @t48) (=> @t54 (= @t76 @t75)))) % 64.10/64.61 (assume @p23 (forall (@list @t48 @t25 @t38 @t41) (=> @t45 (= @t76 @t77)))) % 64.10/64.61 (assume @p24 (forall @t79 (= @t76 @t78))) % 64.10/64.61 (assume @p25 (forall (@list @t83 @t84 @t85 @t25 @t26 @t80 @t81 @t82 @t48 @t1 @t2) (=> (= @t88 (tptp.hAPP @t82 (tptp.hAPP @t81 @t80))) (= @t86 (tptp.hAPP (tptp.c_Fun_Ocomp @t84 @t25 @t83 @t82 @t81) @t80))))) % 64.10/64.61 (assume @p26 (forall @t89 (= (tptp.hAPP @t30 @t36) @t22))) % 64.10/64.61 (assume @p27 (forall (@list @t90 @t61 @t24 @t23) (=> @t99 (=> @t98 (=> @t97 (=> (forall @t17 (= @t96 (tptp.c_member @t11 @t92 @t95))) (= @t94 (tptp.c_member @t11 @t92 @t91)))))))) % 64.10/64.61 (assume @p28 @t119) % 64.10/64.61 (assume @p29 @t128) % 64.10/64.61 (assume @p30 (forall @t71 (= (tptp.c_Relation_Oirrefl @t25 @t22) (forall @t6 (not @t70))))) % 64.10/64.61 (assume @p31 (forall @t140 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t130) (forall @t6 (=> @t139 (forall @t138 (=> (tptp.c_member @t19 @t129 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t137 (=> (forall @t17 (= @t136 (tptp.c_member @t11 @t133 (tptp.hAPP @t129 @t9)))) (= @t135 (tptp.c_member @t11 @t133 (tptp.hAPP @t130 @t129)))))))))))) % 64.10/64.61 (assume @p32 (forall @t140 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t130) (forall @t6 (=> @t139 (forall @t137 (=> (forall @t17 @t136) @t135))))))) % 64.10/64.61 (assume @p33 (forall (@list @t141 @t22 @t100 @t101 @t24 @t23 @t26 @t25) (= (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t32 @t143) (tptp.c_Wellfounded_Olex__prod @t25 @t26 @t22 @t141)) (or (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t101) @t22) (and @t142 (tptp.c_member @t65 (tptp.c_Product__Type_OPair @t26 @t26 @t24 @t100) @t141)))))) % 64.10/64.61 (assume @p34 (forall (@list @t144 @t130) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t130 @t144) (forall @t6 (=> @t139 (= @t134 (tptp.hAPP @t3 @t144))))))) % 64.10/64.61 (assume @p35 (forall (@list @t22 @t146 @t26 @t25) (=> (tptp.c_member @t33 @t146 @t31) (not (forall @t147 (=> (= @t146 (tptp.c_Product__Type_OPair @t25 @t26 @t145 @t3)) (not (tptp.c_member @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t3 @t145) @t22)))))))) % 64.10/64.61 (assume @p36 (forall @t35 (=> @t37 (tptp.c_member @t26 @t24 @t148)))) % 64.10/64.61 (assume @p37 (forall @t74 (=> @t73 (=> @t72 (tptp.c_member @t69 @t150 @t149))))) % 64.10/64.61 (assume @p38 (forall @t151 (= (tptp.c_Relation_ORange @t25 @t25 @t149) @t41))) % 64.10/64.61 (assume @p39 (forall @t151 (= (tptp.hAPP @t152 @t149) @t149))) % 64.10/64.61 (assume @p40 (forall @t155 (= (tptp.c_member @t25 @t23 @t154) (exists @t153 (tptp.c_member @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t145 @t23) @t22))))) % 64.10/64.61 (assume @p41 (forall @t157 (= (tptp.c_member @t69 @t156 @t149) (and @t54 @t76)))) % 64.10/64.61 (assume @p42 (forall (@list @t41 @t39 @t25) (=> (tptp.c_member @t69 @t39 @t149) (not (forall @t6 (=> @t158 (not (= @t39 @t68)))))))) % 64.10/64.61 (assume @p43 (forall (@list @t22 @t26 @t24 @t25) (=> (tptp.c_member @t25 @t24 @t154) (not (forall @t6 (not (tptp.c_member @t28 (tptp.c_Product__Type_OPair @t26 @t25 @t3 @t24) @t22))))))) % 64.10/64.61 (assume @p44 (forall @t35 (=> @t37 @t160))) % 64.10/64.61 (assume @p45 (forall @t164 (= @t163 (forall @t6 (=> (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t23) @t22) @t162))))) % 64.10/64.61 (assume @p46 (forall (@list @t23 @t22 @t24 @t25) (=> @t166 (=> @t165 @t163)))) % 64.10/64.61 (assume @p47 (forall @t168 (= @t167 (forall @t6 (=> @t158 (forall @t138 (=> (tptp.c_member @t25 @t129 @t41) (=> (not (= @t3 @t129)) (or (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t3 @t129) @t22) (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t129 @t3) @t22)))))))))) % 64.10/64.61 (assume @p48 (forall (@list @t2 @t22 @t26 @t47 @t48 @t25) (= (tptp.c_member @t69 @t156 (tptp.hAPP (tptp.c_Relation_Oinv__image @t26 @t25 @t22) @t2)) (tptp.c_member @t65 (tptp.c_Product__Type_OPair @t26 @t26 @t170 @t169) @t22)))) % 64.10/64.61 (assume @p49 (forall @t173 (=> @t172 (=> @t171 @t76)))) % 64.10/64.61 (assume @p50 (forall @t173 (=> @t172 (=> @t171 @t75)))) % 64.10/64.61 (assume @p51 (forall (@list @t23 @t22 @t41 @t25) (=> @t172 (=> @t72 @t175)))) % 64.10/64.61 (assume @p52 (forall @t168 (= (tptp.c_Relation_Orefl__on @t25 @t41 @t176) @t172))) % 64.10/64.61 (assume @p53 (forall @t151 (= (tptp.c_Relation_ODomain @t25 @t25 @t149) @t41))) % 64.10/64.61 (assume @p54 (forall @t151 (tptp.c_Relation_Orefl__on @t25 @t41 @t149))) % 64.10/64.61 (assume @p55 (forall (@list @t2 @t59 @t26 @t25) (= (tptp.hAPP @t152 (tptp.hAPP (tptp.c_Relation_Oinv__image @t26 @t25 @t59) @t2)) (tptp.hAPP (tptp.c_Relation_Oinv__image @t26 @t25 (tptp.hAPP (tptp.c_Relation_Oconverse @t26 @t26) @t59)) @t2)))) % 64.10/64.61 (assume @p56 (forall @t168 (= (tptp.c_Relation_Ototal__on @t25 @t41 @t176) @t167))) % 64.10/64.61 (assume @p57 (forall @t89 (= (tptp.c_Relation_ORange @t26 @t25 @t36) @t159))) % 64.10/64.61 (assume @p58 (forall @t178 (= @t177 @t154))) % 64.10/64.61 (assume @p59 (forall @t89 (= @t154 @t177))) % 64.10/64.61 (assume @p60 (forall @t155 (= @t160 (exists @t153 @t179)))) % 64.10/64.61 (assume @p61 (forall @t155 (=> @t160 (not (forall @t153 (not @t179)))))) % 64.10/64.61 (assume @p62 (forall (@list @t59 @t48 @t25) (=> (not (tptp.c_member @t25 @t48 @t180)) (not (forall @t183 (=> @t182 (tptp.c_member @t25 @t181 @t180))))))) % 64.10/64.61 (assume @p63 (forall (@list @t22 @t48 @t25) (=> (forall @t153 (=> @t185 (tptp.c_member @t25 @t145 @t161))) @t184))) % 64.10/64.61 (assume @p64 (forall (@list @t24 @t22 @t23 @t25) (=> @t163 (=> @t188 @t166)))) % 64.10/64.61 (assume @p65 (forall (@list @t22 @t23 @t24 @t25) (=> @t188 (=> @t163 @t166)))) % 64.10/64.61 (assume @p66 (forall @t196 (= (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t59 @t130 @t190 @t194) (exists @t195 (and (= @t194 @t192) @t191))))) % 64.10/64.61 (assume @p67 (forall (@list @t24 @t23 @t46) (=> @t197 (=> (tptp.c_member @t11 @t93 @t46) (not (tptp.c_member @t11 @t92 @t46)))))) % 64.10/64.61 (assume @p68 (forall (@list @t47 @t48 @t46) (=> @t197 (=> @t55 (= (not @t50) (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t47 @t48) @t46)))))) % 64.10/64.61 (assume @p69 (forall (@list @t199 @t39 @t84 @t24 @t23 @t25 @t26 @t85) (=> @t201 (forall (@list @t198) (= (tptp.hAPP @t23 (tptp.hAPP @t24 @t198)) (tptp.hAPP @t39 (tptp.hAPP @t199 @t198))))))) % 64.10/64.61 (assume @p70 (forall (@list @t46) (= (tptp.c_member @t14 (tptp.hAPP @t13 @t46) tptp.c_Arrow__Order__Mirabelle_OLin) @t197))) % 64.10/64.61 (assume @p71 (forall @t202 (=> @t197 (tptp.c_member @t14 (tptp.c_Arrow__Order__Mirabelle_Omktop @t46 @t48) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.10/64.61 (assume @p72 (forall @t202 (=> @t197 (tptp.c_member @t14 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t46 @t48) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.10/64.61 (assume @p73 (forall (@list @t203 @t1 @t84 @t2 @t25 @t26 @t85) (= (tptp.c_Fun_Ocomp @t85 @t26 @t25 @t2 (tptp.c_Fun_Ocomp @t84 @t85 @t25 @t1 @t203)) (tptp.c_Fun_Ocomp @t84 @t26 @t25 (tptp.c_Fun_Ocomp @t85 @t26 @t84 @t2 @t1) @t203)))) % 64.10/64.61 (assume @p74 (forall (@list @t48 @t1 @t2 @t85 @t25 @t26) (= @t86 @t88))) % 64.10/64.61 (assume @p75 (forall (@list @t204 @t199 @t39 @t84 @t24 @t23 @t25 @t26 @t85) (=> @t201 (= @t205 (tptp.hAPP @t39 (tptp.hAPP @t199 @t204)))))) % 64.10/64.61 (assume @p76 (forall @t164 (tptp.c_member @t69 @t174 @t186))) % 64.10/64.61 (assume @p77 (forall @t208 (=> @t207 (tptp.c_member @t69 @t206 @t186)))) % 64.10/64.61 (assume @p78 (forall (@list @t47 @t59 @t48 @t25) (=> (not (tptp.c_member @t25 @t48 (tptp.c_Relation_ODomain @t25 @t25 @t59))) (= @t210 @t54)))) % 64.10/64.61 (assume @p79 (forall @t214 (=> @t99 (=> @t197 (= (tptp.c_member @t11 @t49 (tptp.c_Arrow__Order__Mirabelle_Oabove @t46 @t23 @t24)) (and @t55 (=> @t213 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t23 @t47) @t46)) (=> (not @t213) (and (=> @t211 (or @t212 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t48 @t23) @t46))) (=> (not @t211) @t50))))))))) % 64.10/64.61 (assume @p80 (forall @t214 (=> @t99 (=> @t197 (= (tptp.c_member @t11 @t49 (tptp.c_Arrow__Order__Mirabelle_Obelow @t46 @t23 @t24)) (and @t55 (=> @t215 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t48 @t24) @t46)) (=> (not @t215) (and (=> @t212 (or @t211 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t24 @t47) @t46))) (=> (not @t212) @t50))))))))) % 64.10/64.61 (assume @p81 (forall @t220 (=> @t219 @t217))) % 64.10/64.61 (assume @p82 (forall @t221 (=> @t217 @t219))) % 64.10/64.61 (assume @p83 (forall @t227 (=> @t165 @t226))) % 64.10/64.61 (assume @p84 (forall @t227 (=> @t229 (=> @t228 @t223)))) % 64.10/64.61 (assume @p85 (forall @t71 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t186) @t186))) % 64.10/64.61 (assume @p86 (forall @t71 (= @t216 (tptp.hAPP @t152 @t186)))) % 64.10/64.61 (assume @p87 (forall @t230 (=> @t55 (=> @t197 (tptp.c_member @t14 (tptp.c_Arrow__Order__Mirabelle_Obelow @t46 @t48 @t47) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.10/64.61 (assume @p88 (forall @t230 (=> @t55 (=> @t197 (tptp.c_member @t14 (tptp.c_Arrow__Order__Mirabelle_Oabove @t46 @t48 @t47) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.10/64.61 (assume @p89 (forall @t227 (=> @t229 @t226))) % 64.10/64.61 (assume @p90 (forall (@list @t51 @t47 @t48 @t22 @t25) (=> (tptp.c_Relation_Osingle__valued @t25 @t25 @t22) (=> @t234 (=> @t233 (or (tptp.c_member @t69 @t231 @t186) (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t51 @t47) @t186))))))) % 64.10/64.61 (assume @p91 (forall (@list @t24 @t23) (=> @t99 (exists @t6 (and (tptp.c_member @t14 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t11 @t93 @t3)))))) % 64.10/64.61 (assume @p92 (forall @t252 (=> @t251 (=> @t249 (=> (forall @t137 (=> (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t248 @t243) @t245) (forall (@list @t239 @t238) (=> @t244 (=> @t241 @t240))))) @t237))))) % 64.10/64.61 (assume @p93 (forall @t252 (=> @t251 (=> @t237 (=> (forall (@list @t132 @t131 @t239 @t238) (=> @t244 (=> (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t242 @t250) @t245) (=> @t240 @t241)))) @t249))))) % 64.10/64.61 (assume @p94 (forall (@list @t22 @t253 @t254 @t256 @t257 @t26 @t25) (=> (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t258 @t255) @t245) (=> (not (= @t258 @t255)) (not (forall @t137 (=> (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t258 @t243) @t22) (not (tptp.c_member @t64 (tptp.c_Product__Type_OPair @t33 @t33 @t243 @t255) @t245))))))))) % 64.10/64.61 (assume @p95 (forall (@list @t1 @t130 @t26 @t59 @t48 @t25) (=> (forall @t183 (=> @t182 (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t59 @t130 @t181 (tptp.hAPP @t1 @t181)))) (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t59 @t130 @t48 (tptp.hAPP (tptp.hAPP @t130 @t1) @t48))))) % 64.10/64.61 (assume @p96 (forall @t196 (= (tptp.c_Recdef_Owfrec__rel @t25 @t26 @t59 @t130 @t190 @t193) (exists @t195 (and (= @t193 @t192) @t191))))) % 64.10/64.61 (assume @p97 (forall @t260 (=> @t229 (=> @t99 (not (forall @t153 (=> @t259 (not (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t145 @t24) @t22))))))))) % 64.10/64.61 (assume @p98 (forall @t151 (tptp.c_Relation_Osingle__valued @t25 @t25 @t149))) % 64.10/64.61 (assume @p99 (forall @t178 (= @t262 @t261))) % 64.10/64.61 (assume @p100 (forall (@list @t51 @t47 @t48 @t22 @t26 @t25) (=> @t262 (=> (tptp.c_member @t33 @t60 @t22) (=> (tptp.c_member @t33 (tptp.c_Product__Type_OPair @t25 @t26 @t48 @t51) @t22) @t56))))) % 64.10/64.61 (assume @p101 (forall @t178 (=> @t261 @t262))) % 64.10/64.61 (assume @p102 (forall @t268 (=> @t229 (=> @t267 (=> (forall @t153 (=> @t259 (forall @t183 (=> @t266 (=> @t265 @t264))))) @t263))))) % 64.10/64.61 (assume @p103 (forall @t268 (=> @t229 (=> @t263 (=> (forall (@list @t145 @t181) (=> @t266 (=> (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t181 @t24) @t186) (=> @t264 @t265)))) @t267))))) % 64.10/64.61 (assume @p104 (forall @t271 (=> @t233 (=> @t53 (not (forall @t153 (=> @t270 (not (tptp.c_member @t69 @t269 @t186))))))))) % 64.10/64.61 (assume @p105 (forall @t260 (=> @t273 @t229))) % 64.10/64.61 (assume @p106 (forall (@list @t204 @t39 @t24 @t23 @t25 @t26 @t85) (=> (= @t200 @t39) (= @t205 (tptp.hAPP @t39 @t204))))) % 64.10/64.61 (assume @p107 (forall (@list @t26 @t23 @t48 @t25 @t274 @t275) (=> (tptp.c_member @t69 @t276 @t275) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t25 @t26 @t274 @t275 @t23) @t48) (tptp.hAPP @t274 @t48))))) % 64.10/64.61 (assume @p108 (forall @t260 (=> @t165 @t273))) % 64.10/64.61 (assume @p109 (forall @t208 (=> @t207 @t277))) % 64.10/64.61 (assume @p110 (forall @t279 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t278) @t209))) % 64.10/64.61 (assume @p111 (forall @t279 (= (tptp.c_Transitive__Closure_Otrancl @t25 @t209) @t209))) % 64.10/64.61 (assume @p112 (forall @t71 (= @t281 @t280))) % 64.10/64.61 (assume @p113 (forall @t71 (= (tptp.c_Relation_ODomain @t25 @t25 @t272) (tptp.c_Relation_ODomain @t25 @t25 @t22)))) % 64.10/64.61 (assume @p114 (forall @t71 (= (tptp.c_Relation_ORange @t25 @t25 @t272) (tptp.c_Relation_ORange @t25 @t25 @t22)))) % 64.10/64.61 (assume @p115 (forall @t227 (=> @t273 @t283))) % 64.10/64.61 (assume @p116 (forall @t227 (=> @t273 @t284))) % 64.10/64.61 (assume @p117 (forall @t227 (=> @t165 @t283))) % 64.10/64.61 (assume @p118 (forall (@list @t39 @t59 @t24 @t23 @t25) (=> (tptp.c_member @t69 @t150 @t59) (=> (tptp.c_member @t69 @t224 @t59) (tptp.c_member @t69 @t222 @t278))))) % 64.10/64.61 (assume @p119 (forall (@list @t51 @t22 @t47 @t48 @t25) (=> @t234 (=> (tptp.c_member @t69 @t231 @t272) @t285)))) % 64.10/64.61 (assume @p120 (forall @t227 (=> @t273 @t286))) % 64.10/64.61 (assume @p121 (forall @t227 (=> @t229 @t284))) % 64.10/64.61 (assume @p122 (forall (@list @t59 @t24 @t23 @t25) (=> (tptp.c_member @t69 @t150 @t209) (or @t73 (and @t99 (tptp.c_member @t69 @t150 @t278)))))) % 64.10/64.61 (assume @p123 (forall @t227 (=> @t165 @t286))) % 64.10/64.61 (assume @p124 (forall @t288 (= @t210 (or @t54 (and @t55 @t287))))) % 64.10/64.61 (assume @p125 (forall @t221 (=> @t290 @t289))) % 64.10/64.61 (assume @p126 (forall @t221 (=> @t289 @t290))) % 64.10/64.61 (assume @p127 (forall (@list @t2 @t26 @t22 @t23 @t48 @t25) (=> @t292 (= (tptp.hAPP @t291 @t48) @t170)))) % 64.10/64.61 (assume @p128 (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 @t153 (=> @t185 (= (tptp.hAPP @t2 @t145) (tptp.hAPP @t1 @t145))))))) % 64.10/64.61 (assume @p129 (forall @t288 (=> @t287 (exists @t183 (and (tptp.c_member @t69 @t294 @t59) (tptp.c_member @t69 @t293 @t209)))))) % 64.10/64.61 (assume @p130 (forall @t288 (=> @t287 (exists @t183 (and (tptp.c_member @t69 @t294 @t209) (tptp.c_member @t69 @t293 @t59)))))) % 64.10/64.61 (assume @p131 (forall @t71 (= @t296 @t295))) % 64.10/64.61 (assume @p132 (forall @t260 (=> @t273 (=> (not @t165) (not (forall (@list @t297) (=> (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t297) @t272) (not (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t297 @t24) @t22))))))))) % 64.10/64.61 (assume @p133 (forall @t271 (=> @t285 (=> (not (tptp.c_member @t69 @t232 @t22)) (not (forall @t153 (=> @t270 (not (tptp.c_member @t69 @t269 @t272))))))))) % 64.10/64.61 (assume @p134 (forall (@list @t47 @t48 @t22 @t25) (=> @t295 (=> @t171 @t55)))) % 64.10/64.61 (assume @p135 (forall (@list @t48 @t130 @t59 @t25 @t26) (= (tptp.c_Nitpick_Owf__wfrec_H @t26 @t25 @t59 @t130 @t48) (tptp.hAPP (tptp.hAPP @t130 (tptp.c_Recdef_Ocut @t26 @t25 (tptp.c_Nitpick_Owf__wfrec @t26 @t25 @t59 @t130) @t59 @t48)) @t48)))) % 64.10/64.61 (assume @p136 (forall @t71 (= (tptp.c_Wellfounded_Oacyclic @t25 @t176) @t296))) % 64.10/64.61 (assume @p137 (forall @t71 (=> @t295 @t296))) % 64.10/64.61 (assume @p138 (forall @t220 (= (tptp.c_Wellfounded_Oacyclic @t25 @t299) (and @t296 @t298)))) % 64.10/64.61 (assume @p139 (forall @t71 (=> @t296 (tptp.c_Relation_Oantisym @t25 @t186)))) % 64.10/64.61 (assume @p140 (forall @t301 (tptp.c_member @t69 @t174 @t300))) % 64.10/64.61 (assume @p141 (exists (@list @t302) (tptp.c_member @t14 @t302 tptp.c_Arrow__Order__Mirabelle_OLin))) % 64.10/64.61 (assume @p142 (forall (@list @t26 @t25 @t61) (= (forall (@list @t303) (tptp.hBOOL (tptp.hAPP @t61 @t303))) (forall @t137 (tptp.hBOOL (tptp.hAPP @t61 @t243)))))) % 64.10/64.61 (assume @p143 (forall @t307 (=> (=> (not @t306) @t73) @t305))) % 64.10/64.61 (assume @p144 (forall @t309 (=> @t308 (=> @t99 @t72)))) % 64.10/64.61 (assume @p145 (forall (@list @t48 @t41 @t47 @t25) (= (tptp.hBOOL (tptp.hAPP @t310 @t48)) (or (= @t47 @t48) @t78)))) % 64.10/64.61 (assume @p146 (forall @t157 (= (tptp.c_Set_Oinsert @t25 @t48 @t310) (tptp.c_Set_Oinsert @t25 @t47 @t311)))) % 64.10/64.61 (assume @p147 (forall @t79 (= (tptp.c_Set_Oinsert @t25 @t48 @t311) @t311))) % 64.10/64.61 (assume @p148 (forall @t312 (tptp.c_Relation_Oantisym @t25 @t300))) % 64.10/64.61 (assume @p149 (forall @t35 (= (tptp.c_Relation_ODomain @t25 @t26 (tptp.c_Set_Oinsert @t33 @t32 @t22)) (tptp.c_Set_Oinsert @t25 @t23 @t159)))) % 64.10/64.61 (assume @p150 (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 @t154)))) % 64.10/64.61 (assume @p151 (forall @t314 (=> @t72 (= @t313 @t41)))) % 64.10/64.61 (assume @p152 (forall @t307 (=> @t306 @t305))) % 64.10/64.61 (assume @p153 (forall @t317 (=> @t316 (=> (not @t77) (= (= @t311 @t315) @t45))))) % 64.10/64.61 (assume @p154 (forall @t309 (= @t308 (or @t73 @t72)))) % 64.10/64.61 (assume @p155 (forall (@list @t38 @t23 @t25) (tptp.c_member @t25 @t23 @t318))) % 64.10/64.61 (assume @p156 (forall @t312 (= (tptp.hAPP @t152 @t300) @t300))) % 64.10/64.61 (assume @p157 (forall @t312 (tptp.c_Relation_Osingle__valued @t25 @t25 @t300))) % 64.10/64.61 (assume @p158 (forall @t71 (= (tptp.c_Relation_Oantisym @t25 @t176) @t319))) % 64.10/64.61 (assume @p159 (forall @t151 (tptp.c_Relation_Oantisym @t25 @t149))) % 64.10/64.61 (assume @p160 (forall @t320 (= (tptp.c_member @t69 @t150 @t300) @t73))) % 64.10/64.61 (assume @p161 (forall (@list @t24 @t23 @t22 @t25) (=> @t319 (=> @t165 (=> (tptp.c_member @t69 @t187 @t22) @t73))))) % 64.10/64.61 (assume @p162 (forall @t71 (= @t319 @t322))) % 64.10/64.61 (assume @p163 (forall (@list @t323 @t325 @t324 @t326 @t26 @t25) (=> (= (tptp.c_Product__Type_OPair @t25 @t26 @t326 @t324) (tptp.c_Product__Type_OPair @t25 @t26 @t325 @t323)) (not (=> (= @t326 @t325) (not (= @t324 @t323))))))) % 64.10/64.61 (assume @p164 (forall (@list @t100 @t101 @t24 @t23 @t26 @t25) (= (= @t32 @t143) (and @t142 (= @t24 @t100))))) % 64.10/64.61 (assume @p165 (forall (@list @t24 @t23 @t327 @t25 @t85 @t26) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t26 @t85 @t25 @t327 @t328) (tptp.hAPP (tptp.hAPP @t327 @t23) @t24)))) % 64.10/64.61 (assume @p166 (forall (@list @t206 @t25) (=> (tptp.c_member @t69 @t206 @t300) (not (forall @t6 (not (= @t206 @t68))))))) % 64.10/64.61 (assume @p167 (forall (@list @t24 @t23 @t39 @t25 @t85 @t26) (= (tptp.c_Product__Type_Ointernal__split @t26 @t85 @t25 @t39 @t328) (tptp.hAPP (tptp.hAPP @t39 @t23) @t24)))) % 64.10/64.61 (assume @p168 (forall @t220 (= (tptp.c_Wellfounded_Owf @t25 @t299) (and @t329 @t298)))) % 64.10/64.61 (assume @p169 (forall @t71 (=> @t322 @t319))) % 64.10/64.61 (assume @p170 (forall (@list @t24 @t23 @t26 @t25 @t2) (=> @t331 @t330))) % 64.10/64.61 (assume @p171 (forall (@list @t2 @t26 @t22 @t25) (=> @t329 (tptp.c_Wellfounded_Owf @t26 (tptp.hAPP (tptp.c_Relation_Oinv__image @t25 @t26 @t22) @t2))))) % 64.10/64.61 (assume @p172 (forall (@list @t332 @t26 @t333 @t25) (=> (tptp.c_Wellfounded_Owf @t25 @t333) (=> (tptp.c_Wellfounded_Owf @t26 @t332) (tptp.c_Wellfounded_Owf @t33 (tptp.c_Wellfounded_Olex__prod @t25 @t26 @t333 @t332)))))) % 64.10/64.61 (assume @p173 (forall @t71 (=> @t329 (tptp.c_Wellfounded_Owf @t25 @t272)))) % 64.10/64.61 (assume @p174 (forall @t71 (=> @t329 @t296))) % 64.10/64.61 (assume @p175 (forall (@list @t23 @t22 @t25) (=> @t329 (not @t175)))) % 64.10/64.61 (assume @p176 (forall (@list @t48 @t23 @t22 @t25) (=> @t329 (=> (tptp.c_member @t69 (tptp.c_Product__Type_OPair @t25 @t25 @t23 @t48) @t22) (not @t292))))) % 64.10/64.61 (assume @p177 (forall @t71 (= @t329 @t334))) % 64.10/64.61 (assume @p178 (forall (@list @t48 @t22 @t25) (=> @t329 @t184))) % 64.10/64.61 (assume @p179 (forall @t71 (=> @t335 (tptp.c_Wellfounded_Owf @t25 @t280)))) % 64.10/64.61 (assume @p180 (forall (@list @t24 @t23 @t2 @t26 @t25) (=> @t330 @t331))) % 64.10/64.61 (assume @p181 (forall (@list @t24 @t23 @t2 @t25 @t85 @t26) (= (tptp.c_Product__Type_Ocurry @t26 @t85 @t25 @t2 @t23 @t24) (tptp.hAPP @t2 @t328)))) % 64.10/64.61 (assume @p182 (forall (@list @t2 @t25) (tptp.c_Wellfounded_Owf @t25 @t337))) % 64.10/64.61 (assume @p183 (forall (@list @t26 @t25 @t338 @t275) (=> (tptp.c_Wellfounded_Owf @t25 @t275) (forall @t6 (= (tptp.hAPP @t339 @t3) (tptp.hAPP (tptp.hAPP @t338 (tptp.c_Recdef_Ocut @t25 @t26 @t339 @t275 @t3)) @t3)))))) % 64.10/64.61 (assume @p184 (forall (@list @t23 @t340 @t26 @t22 @t25) (=> @t329 (= (tptp.hAPP @t341 @t23) (tptp.hAPP (tptp.hAPP @t340 (tptp.c_Recdef_Ocut @t25 @t26 @t341 @t22 @t23)) @t23))))) % 64.10/64.61 (assume @p185 (forall (@list @t23 @t340 @t22 @t26 @t25 @t2) (=> (= @t2 @t341) (=> @t329 (= (tptp.hAPP @t2 @t23) (tptp.hAPP (tptp.hAPP @t340 @t291) @t23)))))) % 64.10/64.61 (assume @p186 (forall @t71 (= @t329 (forall (@list @t342) (=> (exists @t6 @t343) (exists @t6 (and @t343 (forall @t153 (=> @t321 (not (tptp.c_member @t25 @t145 @t342))))))))))) % 64.10/64.61 (assume @p187 (forall (@list @t25 @t59 @t26 @t61) (=> (forall @t6 (=> @t344 (tptp.c_Wellfounded_Owf @t26 (tptp.hAPP @t59 @t3)))) (tptp.c_Wellfounded_Owf @t33 @t62)))) % 64.10/64.61 (assume @p188 (forall @t279 (=> @t345 (tptp.c_Wellfounded_OwfP @t25 (tptp.c_FunDef_Oin__rel @t25 @t25 @t59))))) % 64.10/64.61 (assume @p189 (forall @t71 (=> @t334 @t329))) % 64.10/64.61 (assume @p190 (forall (@list @t2 @t47 @t48 @t25) (= (tptp.c_member @t69 @t156 @t337) @t346))) % 64.10/64.61 (assume @p191 (forall @t312 (= @t336 (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t25 tptp.c_Wellfounded_Oless__than)))) % 64.10/64.61 (assume @p192 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 64.10/64.61 (assume @p193 (forall @t348 (= (tptp.c_member @t347 (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)))) % 64.10/64.61 (assume @p194 (forall @t351 (=> @t346 @t350))) % 64.10/64.61 (assume @p195 (= tptp.c_Wellfounded_Oless__than @t352)) % 64.10/64.61 (assume @p196 (forall @t71 (=> @t353 (=> @t296 @t335)))) % 64.10/64.61 (assume @p197 (forall @t71 (=> @t329 (tptp.c_Wellfounded_Owf @t354 (tptp.c_Wellfounded_Omin__ext @t25 @t22))))) % 64.10/64.61 (assume @p198 (forall (@list @t61 @t356 @t355) (=> (=> @t360 @t357) (=> (=> @t359 @t357) (=> (=> @t358 @t357) @t357))))) % 64.10/64.61 (assume @p199 (forall @t178 (=> @t361 (tptp.c_Finite__Set_Ofinite @t25 @t159)))) % 64.10/64.61 (assume @p200 (forall @t178 (=> @t361 (tptp.c_Finite__Set_Ofinite @t26 @t148)))) % 64.10/64.61 (assume @p201 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 64.10/64.61 (assume @p202 (forall @t71 (= (tptp.c_Finite__Set_Ofinite @t69 @t272) @t353))) % 64.10/64.61 (assume @p203 (forall @t178 (= (tptp.c_Finite__Set_Ofinite @t33 @t31) (tptp.c_Finite__Set_Ofinite @t28 @t22)))) % 64.10/64.61 (assume @p204 (forall @t71 (=> @t353 (= @t329 @t296)))) % 64.10/64.61 (assume @p205 (forall @t71 (=> @t353 (=> @t296 @t329)))) % 64.10/64.61 (assume @p206 (forall @t363 (= (tptp.c_member @t347 @t362 @t352) @t360))) % 64.10/64.61 (assume @p207 (forall (@list @t2 @t59 @t25) (=> @t345 (tptp.c_Wellfounded_Owf @t25 @t349)))) % 64.10/64.61 (assume @p208 (forall @t365 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t364)))) % 64.10/64.61 (assume @p209 (forall @t363 (= @t366 (or @t360 @t358)))) % 64.10/64.61 (assume @p210 (forall @t372 (=> @t371 (=> (not @t369) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t367))))) % 64.10/64.61 (assume @p211 (forall (@list @t373 @t364) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t373) @t375))) % 64.10/64.61 (assume @p212 (forall (@list @t376 @t377) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t377 @t376) (not (= @t377 @t376))))) % 64.10/64.61 (assume @p213 (forall (@list @t23 @t41 @t25) (=> @t379 @t378))) % 64.10/64.61 (assume @p214 (forall @t71 (= (tptp.c_Nitpick_Owf_H @t25 @t22) (and @t296 (or @t353 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 64.10/64.61 (assume @p215 (forall @t314 (= @t378 @t379))) % 64.10/64.61 (assume @p216 (forall @t312 (tptp.c_Wellfounded_Owf @t354 @t380))) % 64.10/64.61 (assume @p217 (forall @t71 (=> @t329 (tptp.c_Wellfounded_Owf @t354 (tptp.c_Wellfounded_Omax__ext @t25 @t22))))) % 64.10/64.61 (assume @p218 (forall @t151 (=> (tptp.class_Finite__Set_Ofinite @t25) @t379))) % 64.10/64.61 (assume @p219 (forall @t386 (=> @t385 (=> @t379 @t384)))) % 64.10/64.61 (assume @p220 (forall @t386 (=> @t385 (=> @t379 (=> @t76 (= @t382 @t381)))))) % 64.10/64.61 (assume @p221 (forall @t386 (=> @t387 (=> @t379 (=> @t316 @t384))))) % 64.10/64.61 (assume @p222 (forall @t393 (=> @t392 (=> @t391 (=> (not @t390) @t389))))) % 64.10/64.61 (assume @p223 (forall (@list @t203 @t1 @t394 @t2 @t85 @t84 @t83 @t130 @t395 @t26 @t25) (=> (tptp.c_Finite__Set_Ofolding @t25 @t26 @t395 @t130) (= (tptp.c_Fun_Ocomp @t83 @t84 @t85 @t2 (tptp.c_Fun_Ocomp @t394 @t83 @t85 @t1 @t203)) (tptp.c_Fun_Ocomp @t394 @t84 @t85 (tptp.c_Fun_Ocomp @t83 @t84 @t394 @t2 @t1) @t203))))) % 64.10/64.61 (assume @p224 (forall (@list @t48 @t47 @t130 @t2 @t26 @t25) (=> @t387 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t169 @t170) (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t170 @t169))))) % 64.10/64.61 (assume @p225 (forall (@list @t1 @t48 @t47 @t85 @t130 @t2 @t26 @t25) (=> @t387 (= (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t169 @t396) (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t170 (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t169 @t1)))))) % 64.10/64.61 (assume @p226 (forall (@list @t48 @t130 @t2 @t26 @t25) (=> @t385 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t170 @t170) @t170)))) % 64.10/64.61 (assume @p227 (forall (@list @t1 @t48 @t85 @t130 @t2 @t26 @t25) (=> @t385 (= (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t170 @t396) @t396)))) % 64.10/64.61 (assume @p228 (forall (@list @t1 @t85 @t38 @t41 @t130 @t2 @t26 @t25) (=> @t387 (=> @t379 (=> @t399 (= (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t397 @t398) (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t381 (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t397 @t1)))))))) % 64.10/64.61 (assume @p229 (forall @t401 (=> @t387 (=> @t379 (=> @t399 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t397 @t381) @t400)))))) % 64.10/64.61 (assume @p230 (forall (@list @t1 @t48 @t85 @t41 @t130 @t2 @t26 @t25) (=> @t387 (=> @t379 (= (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t170 @t398) (tptp.c_Fun_Ocomp @t26 @t26 @t85 @t381 @t396)))))) % 64.10/64.61 (assume @p231 (forall @t386 (=> @t387 (=> @t379 (= (tptp.c_Fun_Ocomp @t26 @t26 @t26 @t170 @t381) @t382))))) % 64.10/64.61 (assume @p232 (forall @t407 (=> @t406 @t405))) % 64.10/64.61 (assume @p233 (forall @t393 (=> @t408 (=> @t391 @t389)))) % 64.10/64.61 (assume @p234 (forall @t393 (=> @t408 (=> @t391 (=> @t390 (= @t388 @t381)))))) % 64.10/64.61 (assume @p235 (forall @t407 (=> @t406 @t409))) % 64.10/64.61 (assume @p236 (tptp.c_Wellfounded_Owf @t347 tptp.c_FunDef_Opair__less)) % 64.10/64.61 (assume @p237 (forall (@list @t48 @t130 @t1 @t51 @t2 @t26 @t25) (=> @t408 (= (tptp.hAPP @t170 @t48) @t48)))) % 64.10/64.61 (assume @p238 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 64.10/64.61 (assume @p239 (forall (@list @t411 @t48 @t410 @t47) (=> (tptp.c_member @t347 @t47 @t410) (=> @t416 (=> (tptp.c_member @t413 @t414 tptp.c_FunDef_Omax__weak) (tptp.c_member @t413 (tptp.c_Product__Type_OPair @t412 @t412 (tptp.c_Set_Oinsert @t347 @t48 @t411) @t410) tptp.c_FunDef_Omax__weak)))))) % 64.10/64.61 (assume @p240 (forall @t419 (=> @t418 (=> @t416 (=> (tptp.c_member @t413 @t414 tptp.c_FunDef_Omin__weak) (tptp.c_member @t413 @t417 tptp.c_FunDef_Omin__weak)))))) % 64.10/64.61 (assume @p241 (forall (@list @t421 @t48 @t420 @t47) (=> (tptp.c_member @t347 @t47 @t420) (=> @t422 (=> (tptp.c_member @t413 (tptp.c_Product__Type_OPair @t412 @t412 @t421 @t420) tptp.c_FunDef_Omax__strict) (tptp.c_member @t413 (tptp.c_Product__Type_OPair @t412 @t412 (tptp.c_Set_Oinsert @t347 @t48 @t421) @t420) tptp.c_FunDef_Omax__strict)))))) % 64.10/64.61 (assume @p242 (forall @t419 (=> @t418 (=> @t422 (=> (tptp.c_member @t413 @t414 tptp.c_FunDef_Omin__strict) (tptp.c_member @t413 @t417 tptp.c_FunDef_Omin__strict)))))) % 64.10/64.61 (assume @p243 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t347 tptp.c_FunDef_Opair__less))) % 64.10/64.61 (assume @p244 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t347 tptp.c_FunDef_Opair__less))) % 64.10/64.61 (assume @p245 (tptp.c_FunDef_Oreduction__pair @t412 (tptp.c_Product__Type_OPair @t423 @t423 tptp.c_FunDef_Omin__strict tptp.c_FunDef_Omin__weak))) % 64.10/64.61 (assume @p246 (tptp.c_FunDef_Oreduction__pair @t412 (tptp.c_Product__Type_OPair @t423 @t423 tptp.c_FunDef_Omax__strict tptp.c_FunDef_Omax__weak))) % 64.10/64.61 (assume @p247 (forall @t407 (=> @t424 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t402) @t409)))) % 64.10/64.61 (assume @p248 (forall @t407 (=> @t424 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t402) @t405)))) % 64.10/64.61 (assume @p249 (forall @t427 (=> (or @t426 @t374) @t425))) % 64.10/64.61 (assume @p250 (forall @t427 (=> @t425 (=> @t375 @t426)))) % 64.10/64.61 (assume @p251 (forall @t427 (=> @t426 @t425))) % 64.10/64.61 (assume @p252 (forall @t363 (= @t428 (or @t360 @t359)))) % 64.10/64.61 (assume @p253 (forall @t363 (= @t360 (and @t428 @t366)))) % 64.10/64.61 (assume @p254 (forall @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t364 @t364))) % 64.10/64.61 (assume @p255 (forall @t427 (or @t425 @t429))) % 64.10/64.61 (assume @p256 (forall @t427 (=> @t374 @t425))) % 64.10/64.61 (assume @p257 (forall (@list @t430 @t432 @t431) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t432) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 @t430) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t430))))) % 64.10/64.61 (assume @p258 (forall @t427 (=> @t425 (=> @t429 @t374)))) % 64.10/64.61 (assume @p259 (forall @t372 (=> @t369 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t368)))) % 64.10/64.61 (assume @p260 (forall @t351 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t170 @t169) (=> (tptp.c_member @t69 @t156 @t59) @t350)))) % 64.10/64.61 (assume @p261 (forall @t363 (= (tptp.c_member @t347 @t362 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) @t428))) % 64.10/64.61 (assume @p262 (forall @t434 (=> @t433 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t367 @t367)))) % 64.10/64.61 (assume @p263 (forall @t439 (=> @t438 (= @t437 @t435)))) % 64.10/64.61 (assume @p264 (forall @t439 (=> @t438 (= (not @t441) @t440)))) % 64.10/64.61 (assume @p265 (forall @t444 (=> @t438 (or @t443 @t442)))) % 64.10/64.61 (assume @p266 (forall @t447 (=> @t446 @t445))) % 64.10/64.61 (assume @p267 (forall @t448 (=> @t446 (=> @t76 @t77)))) % 64.10/64.61 (assume @p268 (forall @t317 (=> @t76 (=> @t446 @t77)))) % 64.10/64.61 (assume @p269 (forall @t450 (=> @t329 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t206 @t22) (tptp.c_Wellfounded_Owf @t25 @t206))))) % 64.10/64.61 (assume @p270 (forall (@list @t23 @t38 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t38 @t318))) % 64.10/64.61 (assume @p271 (forall (@list @t24 @t38 @t41 @t25) (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t304)))) % 64.10/64.61 (assume @p272 (forall (@list @t23 @t451 @t452 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t452 @t451) (tptp.c_Orderings_Oord__class_Oless__eq @t354 (tptp.c_Set_Oinsert @t25 @t23 @t452) (tptp.c_Set_Oinsert @t25 @t23 @t451))))) % 64.10/64.61 (assume @p273 (forall @t454 (=> @t453 (=> (tptp.c_Relation_Oantisym @t25 @t141) @t319)))) % 64.10/64.61 (assume @p274 (forall (@list @t22 @t141 @t25) (=> (tptp.c_Wellfounded_Oacyclic @t25 @t141) (=> @t453 @t296)))) % 64.10/64.61 (assume @p275 (forall @t457 (=> @t456 (=> (tptp.c_Relation_Osingle__valued @t25 @t26 @t141) @t262)))) % 64.10/64.61 (assume @p276 (forall @t450 (=> (tptp.c_Wellfounded_OwfP @t25 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t25 @t354) @t206 @t22) (tptp.c_Wellfounded_OwfP @t25 @t206))))) % 64.10/64.61 (assume @p277 (forall (@list @t459 @t458 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t458 @t459) (tptp.c_Orderings_Oord__class_Oless__eq @t354 (tptp.c_Wellfounded_Oacc @t25 @t459) (tptp.c_Wellfounded_Oacc @t25 @t458))))) % 64.10/64.61 (assume @p278 (forall @t457 (=> @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t159 (tptp.c_Relation_ODomain @t25 @t26 @t141))))) % 64.10/64.61 (assume @p279 (forall @t454 (=> @t453 @t461))) % 64.10/64.61 (assume @p280 (forall @t464 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t59 @t462) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t462 @t209) (= @t463 @t209))))) % 64.10/64.61 (assume @p281 (forall @t454 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t22 @t460) @t461))) % 64.10/64.61 (assume @p282 (forall @t465 (=> @t446 (=> @t399 @t379)))) % 64.10/64.61 (assume @p283 (forall @t466 (=> @t399 (=> @t446 @t379)))) % 64.10/64.61 (assume @p284 (forall @t447 (=> @t467 @t445))) % 64.10/64.61 (assume @p285 (forall @t317 (= (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t311 @t38) (and @t77 @t446)))) % 64.10/64.61 (assume @p286 (forall @t317 (=> @t316 (= (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t315) @t446)))) % 64.10/64.61 (assume @p287 (forall (@list @t141 @t22 @t206 @t25) (=> @t277 (=> @t453 (tptp.c_member @t69 @t206 (tptp.c_Transitive__Closure_Otrancl @t25 @t141)))))) % 64.10/64.61 (assume @p288 (forall @t469 (=> @t408 (=> @t391 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t468 @t38 @t41) (= (tptp.hAPP (tptp.hAPP @t2 @t397) @t381) @t381)))))) % 64.10/64.61 (assume @p289 (forall @t473 (=> @t472 (= @t471 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t26 @t5 @t4)))))) % 64.10/64.61 (assume @p290 (forall @t444 (=> @t438 (or @t443 @t474)))) % 64.10/64.61 (assume @p291 (forall @t439 (=> @t475 (= @t54 (and @t441 @t435))))) % 64.10/64.61 (assume @p292 (forall @t444 (=> @t433 (=> @t370 @t443)))) % 64.10/64.61 (assume @p293 (forall (@list @t48 @t1 @t2 @t25 @t26) (=> @t472 (=> @t471 (tptp.c_Orderings_Oord__class_Oless__eq @t26 @t170 @t87))))) % 64.10/64.61 (assume @p294 (forall @t477 (=> @t475 (=> @t435 @t476)))) % 64.10/64.61 (assume @p295 (forall @t482 (=> @t481 (=> @t480 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t324 @t478) @t479))))) % 64.10/64.61 (assume @p296 (forall @t482 (=> @t475 (=> @t480 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t478 @t324) @t483))))) % 64.10/64.61 (assume @p297 (forall @t482 (=> @t481 (=> @t485 (=> @t484 @t479))))) % 64.10/64.61 (assume @p298 (forall @t487 (=> @t475 (=> @t486 (=> @t484 @t483))))) % 64.10/64.61 (assume @p299 (forall @t444 (=> @t475 (=> @t443 (=> @t474 @t370))))) % 64.10/64.61 (assume @p300 (forall @t490 (=> @t433 (=> @t443 (=> @t489 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t367 @t488)))))) % 64.10/64.61 (assume @p301 (forall @t491 (=> @t475 (=> @t474 (=> @t443 @t370))))) % 64.10/64.61 (assume @p302 (forall @t493 (=> @t475 (=> @t474 (=> @t492 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t488 @t367)))))) % 64.10/64.61 (assume @p303 (forall @t444 (=> @t438 (=> (not @t443) @t474)))) % 64.10/64.61 (assume @p304 (forall @t434 (=> @t433 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t367 @t367))))) % 64.10/64.61 (assume @p305 (forall @t439 (=> @t438 (= @t55 (or @t436 @t440))))) % 64.10/64.61 (assume @p306 (forall @t439 (=> @t438 (= @t437 (or @t440 @t54))))) % 64.10/64.61 (assume @p307 (forall @t444 (=> @t438 (or @t494 @t370 @t442)))) % 64.10/64.61 (assume @p308 (forall @t477 (=> @t438 (=> (not @t440) @t495)))) % 64.10/64.61 (assume @p309 (forall @t444 (=> @t438 (=> @t371 (=> @t496 @t442))))) % 64.10/64.61 (assume @p310 (forall @t444 (=> @t475 (=> @t494 @t371)))) % 64.10/64.61 (assume @p311 (forall @t444 (=> @t433 (=> @t494 (not @t442))))) % 64.10/64.61 (assume @p312 (forall @t444 (=> @t475 (=> @t494 (not (= @t368 @t367)))))) % 64.10/64.61 (assume @p313 (forall @t499 (=> @t433 (=> @t498 (not @t497))))) % 64.10/64.61 (assume @p314 (forall @t500 (=> @t475 (=> @t497 (not @t498))))) % 64.10/64.61 (assume @p315 (forall @t482 (=> @t481 (=> @t480 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t324 @t478) @t501))))) % 64.10/64.61 (assume @p316 (forall @t482 (=> @t475 (=> @t480 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t478 @t324) @t502))))) % 64.10/64.61 (assume @p317 (forall @t482 (=> @t481 (=> @t498 (=> @t484 @t501))))) % 64.10/64.61 (assume @p318 (forall @t487 (=> @t475 (=> @t497 (=> @t484 @t502))))) % 64.10/64.61 (assume @p319 (forall @t490 (=> @t433 (=> @t494 @t504)))) % 64.10/64.61 (assume @p320 (forall @t493 (=> @t475 (=> @t442 @t506)))) % 64.10/64.61 (assume @p321 (forall @t444 (=> @t438 (=> @t496 (=> @t371 @t442))))) % 64.10/64.61 (assume @p322 (forall @t401 (=> @t385 (=> @t379 (=> @t507 (= @t400 @t381)))))) % 64.10/64.61 (assume @p323 (forall @t465 (= (tptp.c_member @t509 @t508 @t380) (and @t467 @t399)))) % 64.10/64.61 (assume @p324 (forall @t493 (=> @t475 (=> @t474 @t506)))) % 64.10/64.61 (assume @p325 (forall @t490 (=> @t433 (=> @t443 @t504)))) % 64.10/64.61 (assume @p326 (forall @t493 (=> @t475 (=> @t442 (=> @t492 @t505))))) % 64.10/64.61 (assume @p327 (forall @t490 (=> @t433 (=> @t494 (=> @t489 @t503))))) % 64.10/64.61 (assume @p328 (forall @t500 (=> @t475 (=> @t486 (=> @t510 @t497))))) % 64.10/64.61 (assume @p329 (forall @t499 (=> @t475 (=> @t485 (=> @t510 @t498))))) % 64.10/64.61 (assume @p330 (forall @t444 (=> @t475 (=> @t443 (or @t494 @t370))))) % 64.10/64.61 (assume @p331 (forall @t439 (=> @t438 (=> @t441 @t495)))) % 64.10/64.61 (assume @p332 (forall @t444 (=> @t433 (=> @t494 @t443)))) % 64.10/64.61 (assume @p333 (forall @t491 (=> @t438 (=> @t474 @t496)))) % 64.10/64.61 (assume @p334 (forall @t499 (=> @t475 (=> @t510 (=> @t486 @t497))))) % 64.10/64.61 (assume @p335 (forall @t499 (=> @t475 (=> @t510 (=> @t485 @t498))))) % 64.10/64.61 (assume @p336 (forall @t439 (=> @t438 (=> @t437 @t476)))) % 64.10/64.61 (assume @p337 (forall @t491 (=> @t438 (=> (not @t474) @t494)))) % 64.10/64.61 (assume @p338 (forall @t444 (=> @t438 (=> @t496 @t474)))) % 64.10/64.61 (assume @p339 (forall @t439 (=> @t475 (= @t441 (or @t436 @t54))))) % 64.10/64.61 (assume @p340 (forall @t439 (=> @t433 (= @t436 (and @t441 (not @t435)))))) % 64.10/64.61 (assume @p341 (forall @t439 (=> @t475 (= @t436 (and @t441 @t55))))) % 64.10/64.61 (assume @p342 (forall (@list @t2 @t26 @t61 @t25) (=> (tptp.c_FunDef_Oreduction__pair @t25 @t61) (tptp.c_FunDef_Oreduction__pair @t26 (tptp.c_FunDef_Orp__inv__image @t25 @t26 @t61 @t2))))) % 64.10/64.61 (assume @p343 (forall @t464 (=> @t345 (=> @t511 (tptp.c_FunDef_Oreduction__pair @t25 (tptp.c_Product__Type_OPair @t449 @t449 @t59 @t462)))))) % 64.10/64.61 (assume @p344 (forall @t514 (tptp.c_member @t413 @t513 tptp.c_FunDef_Omin__weak))) % 64.10/64.61 (assume @p345 (forall @t514 (=> (not (= @t421 @t512)) (tptp.c_member @t413 @t513 tptp.c_FunDef_Omin__strict)))) % 64.10/64.61 (assume @p346 (forall @t465 (=> @t446 (=> @t507 @t45)))) % 64.10/64.61 (assume @p347 (forall @t301 (not (tptp.c_member @t25 @t23 @t515)))) % 64.10/64.61 (assume @p348 (forall @t312 (tptp.c_Finite__Set_Ofinite @t25 @t515))) % 64.10/64.61 (assume @p349 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t515 @t41))) % 64.10/64.61 (assume @p350 (forall @t312 (tptp.c_Wellfounded_Owf @t25 @t516))) % 64.10/64.61 (assume @p351 (forall (@list @t141 @t39 @t85 @t22 @t24 @t23 @t26 @t25) (=> @t37 (=> (tptp.c_member @t519 (tptp.c_Product__Type_OPair @t26 @t85 @t24 @t39) @t141) (tptp.c_member @t518 (tptp.c_Product__Type_OPair @t25 @t85 @t23 @t39) @t517))))) % 64.10/64.61 (assume @p352 (forall (@list @t48 @t41 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t520) (or @t521 (= @t41 @t520))))) % 64.10/64.61 (assume @p353 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t41))) % 64.10/64.61 (assume @p354 (forall @t151 (= (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t515) @t521))) % 64.10/64.61 (assume @p355 (forall @t522 (= @t45 (and @t446 @t507)))) % 64.10/64.61 (assume @p356 (forall (@list @t38 @t25 @t41) (=> (= @t41 @t516) (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t41 @t38)))) % 64.10/64.61 (assume @p357 (forall @t522 (=> @t45 @t446))) % 64.10/64.61 (assume @p358 (forall @t522 (=> @t45 @t507))) % 64.10/64.61 (assume @p359 (forall @t525 (=> @t446 (=> @t524 @t523)))) % 64.10/64.61 (assume @p360 (forall (@list @t141 @t526 @t85 @t22 @t527 @t26 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t455 @t527 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t519 tptp.tc_HOL_Obool) @t526 @t141) (tptp.c_Orderings_Oord__class_Oless__eq @t528 (tptp.c_Relation_Orel__comp @t25 @t26 @t85 @t527 @t526) @t517))))) % 64.10/64.61 (assume @p361 (forall @t522 (=> @t45 (not (=> @t446 (not @t507)))))) % 64.10/64.61 (assume @p362 (forall @t434 (=> @t530 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t529 @t367)))) % 64.10/64.61 (assume @p363 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless @t470 @t2 @t1) (and @t471 (not (tptp.c_Orderings_Oord__class_Oless__eq @t470 @t1 @t2))))))) % 64.10/64.61 (assume @p364 (forall @t525 (=> @t446 @t532))) % 64.10/64.61 (assume @p365 (forall @t525 (=> @t467 (=> @t524 @t531)))) % 64.10/64.61 (assume @p366 (forall @t465 (=> @t467 @t446))) % 64.10/64.61 (assume @p367 (forall @t465 (= @t446 (or @t467 @t45)))) % 64.10/64.61 (assume @p368 (forall @t465 (= @t467 (and @t446 (not @t45))))) % 64.10/64.61 (assume @p369 (forall @t279 (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t209 @t209) @t209))) % 64.10/64.61 (assume @p370 (forall @t71 (= @t534 @t533))) % 64.10/64.61 (assume @p371 (forall @t151 (not (tptp.c_Orderings_Oord__class_Oless @t354 @t41 @t515)))) % 64.10/64.61 (assume @p372 (forall @t525 (=> @t467 @t532))) % 64.10/64.61 (assume @p373 (forall (@list @t48 @t26 @t25) (=> @t530 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t535) @t48) @t529)))) % 64.10/64.61 (assume @p374 (forall @t71 (tptp.c_Relation_Ototal__on @t25 @t515 @t22))) % 64.10/64.61 (assume @p375 (forall @t151 (= (forall @t6 (not @t158)) @t521))) % 64.10/64.61 (assume @p376 (forall @t151 (= (exists @t6 @t158) @t536))) % 64.10/64.61 (assume @p377 (forall (@list @t39 @t25) (not (tptp.c_member @t25 @t39 @t515)))) % 64.10/64.61 (assume @p378 (forall (@list @t23 @t25 @t41) (=> @t521 (not @t72)))) % 64.10/64.61 (assume @p379 (forall @t279 (= @t345 (tptp.c_Wellfounded_Owf @t25 @t537)))) % 64.10/64.61 (assume @p380 (forall @t314 (not (= @t515 @t313)))) % 64.10/64.61 (assume @p381 (forall @t314 (not (= @t313 @t515)))) % 64.10/64.61 (assume @p382 (forall (@list @t199 @t39 @t24 @t23 @t25) (= (= (tptp.c_Set_Oinsert @t25 @t23 @t538) (tptp.c_Set_Oinsert @t25 @t39 (tptp.c_Set_Oinsert @t25 @t199 @t515))) (or (and (= @t23 @t39) (= @t24 @t199)) (and (= @t23 @t199) (= @t24 @t39)))))) % 64.10/64.61 (assume @p383 (forall @t320 (=> (= @t539 @t538) @t73))) % 64.10/64.61 (assume @p384 (forall @t279 (=> (= @t537 @t516) @t345))) % 64.10/64.61 (assume @p385 (forall (@list @t141 @t85 @t22 @t26 @t25) (=> @t262 (=> (tptp.c_Relation_Osingle__valued @t26 @t85 @t141) (tptp.c_Relation_Osingle__valued @t25 @t85 @t517))))) % 64.10/64.61 (assume @p386 (forall @t540 (= (tptp.c_Relation_Orel__comp @t25 @t26 @t26 @t59 (tptp.c_Relation_OId @t26)) @t59))) % 64.10/64.61 (assume @p387 (forall @t540 (= (tptp.c_Relation_Orel__comp @t25 @t25 @t26 @t300 @t59) @t59))) % 64.10/64.61 (assume @p388 (forall @t312 (= (tptp.c_Relation_OId__on @t25 @t515) @t516))) % 64.10/64.61 (assume @p389 (forall @t542 (= (tptp.c_Relation_Orel__comp @t25 @t85 @t26 (tptp.c_Orderings_Obot__class_Obot @t528) @t59) @t541))) % 64.10/64.61 (assume @p390 (forall @t542 (= (tptp.c_Relation_Orel__comp @t25 @t85 @t26 @t59 (tptp.c_Orderings_Obot__class_Obot @t543)) @t541))) % 64.10/64.61 (assume @p391 (forall (@list @t544 @t462 @t59 @t84 @t26 @t85 @t25) (= (tptp.c_Relation_Orel__comp @t25 @t85 @t26 (tptp.c_Relation_Orel__comp @t25 @t84 @t85 @t59 @t462) @t544) (tptp.c_Relation_Orel__comp @t25 @t84 @t26 @t59 (tptp.c_Relation_Orel__comp @t84 @t85 @t26 @t462 @t544))))) % 64.10/64.61 (assume @p392 (forall @t312 (tptp.c_Relation_Orefl__on @t25 @t515 @t516))) % 64.10/64.61 (assume @p393 (forall @t89 (= (= @t154 @t515) (= @t22 @t546)))) % 64.10/64.61 (assume @p394 (forall (@list @t25 @t26) (= (tptp.c_Relation_ORange @t26 @t25 @t546) @t515))) % 64.10/64.61 (assume @p395 (forall @t178 (= (= @t159 @t515) (= @t22 @t541)))) % 64.10/64.61 (assume @p396 (forall (@list @t26 @t25) (= (tptp.c_Relation_ODomain @t25 @t26 @t541) @t515))) % 64.10/64.61 (assume @p397 (forall @t312 (= (tptp.c_Transitive__Closure_Otrancl @t25 @t516) @t516))) % 64.10/64.61 (assume @p398 (forall (@list @t141 @t22 @t85 @t25 @t26) (= (tptp.hAPP @t30 (tptp.c_Relation_Orel__comp @t26 @t85 @t25 @t22 @t141)) (tptp.c_Relation_Orel__comp @t25 @t85 @t26 (tptp.hAPP (tptp.c_Relation_Oconverse @t85 @t25) @t141) (tptp.hAPP (tptp.c_Relation_Oconverse @t26 @t85) @t22))))) % 64.10/64.61 (assume @p399 (forall @t312 (tptp.c_Relation_Oantisym @t25 @t516))) % 64.10/64.61 (assume @p400 (forall (@list @t130 @t1 @t51 @t2 @t26 @t25) (=> @t392 (= (tptp.hAPP @t130 (tptp.c_Orderings_Obot__class_Obot @t468)) @t51)))) % 64.10/64.61 (assume @p401 (forall @t549 (=> @t548 @t547))) % 64.10/64.61 (assume @p402 (forall @t549 (= @t548 @t547))) % 64.10/64.61 (assume @p403 (forall @t71 (= @t272 @t534))) % 64.10/64.61 (assume @p404 (forall @t71 (= @t272 @t533))) % 64.10/64.61 (assume @p405 (forall @t312 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t516) @t300))) % 64.10/64.61 (assume @p406 (forall @t514 (=> (tptp.c_Finite__Set_Ofinite @t347 @t421) (tptp.c_member @t413 (tptp.c_Product__Type_OPair @t412 @t412 @t512 @t421) tptp.c_FunDef_Omax__weak)))) % 64.10/64.61 (assume @p407 (forall (@list @t420) (=> (tptp.c_Finite__Set_Ofinite @t347 @t420) (=> (not (= @t420 @t512)) (tptp.c_member @t413 (tptp.c_Product__Type_OPair @t412 @t412 @t512 @t420) tptp.c_FunDef_Omax__strict))))) % 64.10/64.61 (assume @p408 (forall @t168 (=> @t172 (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t22 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t176 @t22))))) % 64.10/64.61 (assume @p409 (forall (@list @t48 @t25) (= (tptp.c_Set_Othe__elem @t25 @t520) @t48))) % 64.10/64.61 (assume @p410 (= tptp.c_FunDef_Omax__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t423 (tptp.c_Wellfounded_Omax__ext @t347 tptp.c_FunDef_Opair__leq) @t550))) % 64.10/64.61 (assume @p411 (= tptp.c_FunDef_Omin__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t423 (tptp.c_Wellfounded_Omin__ext @t347 tptp.c_FunDef_Opair__leq) @t550))) % 64.10/64.61 (assume @p412 (forall @t553 (=> @t552 @t43))) % 64.10/64.61 (assume @p413 (forall @t554 (=> (=> @t44 @t42) @t552))) % 64.10/64.61 (assume @p414 (forall @t314 (= @t313 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t539 @t41)))) % 64.10/64.61 (assume @p415 (forall (@list @t38 @t25) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t515 @t38) @t38))) % 64.10/64.61 (assume @p416 (forall @t151 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t515) @t41))) % 64.10/64.61 (assume @p417 (forall @t465 (= (= @t551 @t515) (and @t521 (= @t38 @t515))))) % 64.10/64.61 (assume @p418 (forall @t559 (= @t558 (and @t557 @t556)))) % 64.10/64.61 (assume @p419 (forall @t559 (=> @t557 (=> @t556 @t558)))) % 64.10/64.61 (assume @p420 (forall @t464 (= @t561 (tptp.c_Wellfounded_Owf @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t537 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t462 @t59)) @t462))))) % 64.10/64.61 (assume @p421 (forall @t71 (= @t272 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t22 (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t272 @t22))))) % 64.10/64.61 (assume @p422 (forall @t563 (=> @t562 (=> (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t38 @t452) @t516) (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t41 @t38) @t452) @t516))))) % 64.10/64.61 (assume @p423 (forall @t525 (=> (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t41 @t38) @t516) (=> @t562 (= (tptp.c_Relation_Orel__comp @t25 @t25 @t25 @t41 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t38 @t452)) @t516))))) % 64.10/64.61 (assume @p424 (forall @t279 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t209 @t300) @t209))) % 64.10/64.61 (assume @p425 (forall @t279 (= (tptp.c_Transitive__Closure_Ortrancl @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t59 @t300)) @t209))) % 64.10/64.61 (assume @p426 (forall @t71 (= (tptp.c_Relation_Oantisym @t25 @t564) @t319))) % 64.10/64.61 (assume @p427 (forall @t469 (=> @t408 (=> @t391 (=> (tptp.c_Finite__Set_Ofinite @t26 @t38) (= (tptp.hAPP @t130 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t468 @t41 @t38)) (tptp.hAPP (tptp.hAPP @t2 @t381) @t397))))))) % 64.10/64.61 (assume @p428 (forall @t464 (= (tptp.c_Transitive__Closure_Ortrancl @t25 @t566) @t565))) % 64.10/64.61 (assume @p429 (forall (@list @t38 @t23 @t41 @t25) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t318) (tptp.c_Set_Oinsert @t25 @t23 @t551)))) % 64.10/64.61 (assume @p430 (forall (@list @t452 @t38 @t23 @t25) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t318 @t452) (tptp.c_Set_Oinsert @t25 @t23 @t567)))) % 64.10/64.61 (assume @p431 (forall (@list @t38 @t41 @t26 @t25) (= (tptp.c_Relation_ODomain @t25 @t26 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t455 @t41 @t38)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 (tptp.c_Relation_ODomain @t25 @t26 @t41) (tptp.c_Relation_ODomain @t25 @t26 @t38))))) % 64.10/64.61 (assume @p432 (forall @t151 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t41) @t41))) % 64.10/64.61 (assume @p433 (forall @t465 (= @t551 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t38 @t41)))) % 64.10/64.61 (assume @p434 (forall @t465 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t41 @t551) @t551))) % 64.10/64.61 (assume @p435 (forall @t525 (= @t569 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t38 @t568)))) % 64.10/64.61 (assume @p436 (forall @t525 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t551 @t452) @t569))) % 64.10/64.61 (assume @p437 (forall @t572 (= (exists @t6 (and @t571 @t344)) (or (exists @t6 (and @t158 @t344)) (exists @t6 (and @t570 @t344)))))) % 64.10/64.61 (assume @p438 (forall @t572 (= (forall @t6 (=> @t571 @t344)) (and (forall @t6 (=> @t158 @t344)) (forall @t6 (=> @t570 @t344)))))) % 64.10/64.61 (assume @p439 (forall (@list @t141 @t38 @t22 @t41 @t25) (=> @t172 (=> (tptp.c_Relation_Orefl__on @t25 @t38 @t141) (tptp.c_Relation_Orefl__on @t25 @t551 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t22 @t141)))))) % 64.10/64.61 (assume @p440 (forall (@list @t38 @t41 @t25 @t26) (= (tptp.c_Relation_ORange @t26 @t25 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t545 @t41 @t38)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 (tptp.c_Relation_ORange @t26 @t25 @t41) (tptp.c_Relation_ORange @t26 @t25 @t38))))) % 64.10/64.61 (assume @p441 (forall (@list @t141 @t22 @t25 @t26) (= (tptp.hAPP @t30 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t545 @t22 @t141)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t455 @t31 (tptp.hAPP @t30 @t141))))) % 64.10/64.61 (assume @p442 (forall (@list @t462 @t59 @t48 @t25) (=> (or (tptp.c_member @t69 @t48 @t209) (tptp.c_member @t69 @t48 @t463)) (tptp.c_member @t69 @t48 @t565)))) % 64.10/64.61 (assume @p443 (forall (@list @t59 @t544 @t462 @t26 @t85 @t25) (= (tptp.c_Relation_Orel__comp @t25 @t85 @t26 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t528 @t462 @t544) @t59) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t455 (tptp.c_Relation_Orel__comp @t25 @t85 @t26 @t462 @t59) (tptp.c_Relation_Orel__comp @t25 @t85 @t26 @t544 @t59))))) % 64.10/64.61 (assume @p444 (forall (@list @t544 @t462 @t59 @t26 @t85 @t25) (= (tptp.c_Relation_Orel__comp @t25 @t85 @t26 @t59 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t543 @t462 @t544)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t455 (tptp.c_Relation_Orel__comp @t25 @t85 @t26 @t59 @t462) (tptp.c_Relation_Orel__comp @t25 @t85 @t26 @t59 @t544))))) % 64.10/64.61 (assume @p445 (forall @t554 (=> @t40 @t552))) % 64.10/64.61 (assume @p446 (forall @t553 (=> @t42 @t552))) % 64.10/64.61 (assume @p447 (forall @t553 (= @t552 (or @t42 @t40)))) % 64.10/64.61 (assume @p448 (forall @t464 (tptp.c_Orderings_Oord__class_Oless__eq @t449 @t566 @t565))) % 64.10/64.61 (assume @p449 (forall (@list @t451 @t38 @t452 @t41 @t25) (=> @t523 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t38 @t451) (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t551 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t452 @t451)))))) % 64.10/64.61 (assume @p450 (forall @t563 (=> @t523 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t551 @t452))))) % 64.10/64.61 (assume @p451 (forall @t466 (=> @t507 (= @t551 @t41)))) % 64.10/64.61 (assume @p452 (forall @t465 (=> @t446 @t573))) % 64.10/64.61 (assume @p453 (forall @t465 (= @t446 @t573))) % 64.10/64.61 (assume @p454 (forall @t466 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t38 @t551))) % 64.10/64.61 (assume @p455 (forall @t465 (tptp.c_Orderings_Oord__class_Oless__eq @t354 @t41 @t551))) % 64.10/64.61 (assume @p456 (forall @t464 (=> @t345 (=> (tptp.c_Wellfounded_Owf @t25 @t462) (=> @t511 @t561))))) % 64.10/64.61 (assume @p457 (forall @t71 (= (tptp.c_Transitive__Closure_Otrancl @t25 @t564) @t186))) % 64.10/64.61 (assume @p458 (forall @t71 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t272 @t300) @t186))) % 64.10/64.61 (assume @p459 (forall @t71 (= @t186 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t449 @t300 @t533)))) % 64.10/64.61 (assume @p460 (forall @t401 (=> @t385 (=> @t379 (=> @t399 (= (tptp.hAPP @t130 @t551) @t400)))))) % 64.10/64.61 (assume @p461 (forall (@list @t451 @t452 @t59 @t38 @t41 @t25) (=> (tptp.c_member @t509 @t508 @t574) (=> (tptp.c_member @t509 (tptp.c_Product__Type_OPair @t354 @t354 @t452 @t451) @t574) (tptp.c_member @t509 (tptp.c_Product__Type_OPair @t354 @t354 @t568 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t354 @t38 @t451)) @t574))))) % 64.10/64.61 (assume @p462 (forall @t464 (=> @t511 (tptp.c_Orderings_Oord__class_Oless__eq @t575 (tptp.c_Relation_Orel__comp @t354 @t354 @t354 @t574 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t575 (tptp.c_Wellfounded_Omax__ext @t25 @t462) @t576)) @t574)))) % 64.10/64.61 (assume @p463 (forall @t464 (=> @t511 (tptp.c_Orderings_Oord__class_Oless__eq @t575 (tptp.c_Relation_Orel__comp @t354 @t354 @t354 @t577 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t575 (tptp.c_Wellfounded_Omin__ext @t25 @t462) @t576)) @t577)))) % 64.10/64.61 (assume @p464 (forall (@list @t25 @t41 @t48 @t38) (=> (=> (not @t579) @t78) @t578))) % 64.10/64.61 (assume @p465 (forall @t448 (=> @t578 (=> (not @t78) @t579)))) % 64.10/64.61 (assume @p466 (= tptp.c_FunDef_Opair__leq (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t404 tptp.tc_HOL_Obool) tptp.c_FunDef_Opair__less (tptp.c_Relation_OId @t347)))) % 64.10/64.61 (assume @p467 (forall @t439 (= (tptp.c_member @t25 @t48 (tptp.c_fequal @t47)) @t54))) % 64.10/64.61 (assume @p468 (forall (@list @t580 @t25 @t48 @t61) (=> @t67 (=> @t583 @t582)))) % 64.10/64.61 (assume @p469 (forall (@list @t48 @t580 @t61 @t25) (=> @t583 (=> @t67 @t582)))) % 64.10/64.61 (assume @p470 (forall (@list @t38 @t25 @t48 @t41) (=> @t78 @t578))) % 64.10/64.61 (assume @p471 (forall (@list @t41 @t25 @t48 @t38) (=> @t579 @t578))) % 64.10/64.61 (assume @p472 (forall (@list @t47 @t48 @t580 @t61 @t26 @t25) (=> @t586 (=> @t585 @t584)))) % 64.10/64.61 (assume @p473 (forall (@list @t580 @t26 @t25 @t47 @t48 @t61) (=> @t585 (=> @t586 @t584)))) % 64.10/64.61 (assume @p474 (forall (@list @t48 @t41 @t130 @t2 @t25) (=> (tptp.c_Finite__Set_Ofolding__one @t25 @t2 @t130) (=> @t379 (=> @t316 (=> @t536 (= @t383 (tptp.hAPP @t170 @t381)))))))) % 64.10/64.61 (assume @p475 (forall (@list @t48 @t1 @t2 @t26 @t25) (=> @t587 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t535 @t2 @t1) @t48) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t170 @t87))))) % 64.10/64.61 (assume @p476 (forall (@list @t326 @t25) (=> @t588 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t326 @t326) @t326)))) % 64.10/64.61 (assume @p477 (forall @t434 (=> @t588 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t367 @t367) @t367)))) % 64.10/64.61 (assume @p478 (forall @t499 (=> @t588 (= @t589 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t324 @t326))))) % 64.10/64.61 (assume @p479 (forall @t444 (=> @t587 @t591))) % 64.10/64.61 (assume @p480 (forall @t444 (=> @t588 @t591))) % 64.10/64.61 (assume @p481 (forall @t499 (=> @t588 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t25 @t326 @t589) @t589)))) % 64.10/64.61 (assume @p482 (forall @t444 (=> @t587 @t592))) % 64.10/64.61 (assume @p483 (forall @t444 (=> @t588 @t592))) % 64.10/64.61 (assume @p484 (forall @t597 (=> @t596 (tptp.class_Lattices_Osemilattice__sup @t595)))) % 64.10/64.61 (assume @p485 (forall @t597 (=> (tptp.class_Orderings_Opreorder @t593) (tptp.class_Orderings_Opreorder @t595)))) % 64.10/64.61 (assume @p486 (forall @t599 (=> @t598 (tptp.class_Finite__Set_Ofinite @t595)))) % 64.10/64.61 (assume @p487 (forall @t597 (=> @t596 (tptp.class_Lattices_Olattice @t595)))) % 64.10/64.61 (assume @p488 (forall @t597 (=> (tptp.class_Orderings_Oorder @t593) (tptp.class_Orderings_Oorder @t595)))) % 64.10/64.61 (assume @p489 (forall @t597 (=> (tptp.class_Orderings_Oord @t593) (tptp.class_Orderings_Oord @t595)))) % 64.10/64.61 (assume @p490 (forall @t597 (=> (tptp.class_Orderings_Obot @t593) (tptp.class_Orderings_Obot @t595)))) % 64.10/64.61 (assume @p491 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p492 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p493 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p494 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p495 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p496 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p497 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 64.10/64.61 (assume @p498 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p500 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 64.10/64.61 (assume @p505 (forall @t599 (=> @t598 (tptp.class_Finite__Set_Ofinite (tptp.tc_prod @t594 @t593))))) % 64.10/64.61 (assume @p506 (forall @t348 (or (not @t600) @t54))) % 64.10/64.61 (assume @p507 (forall @t348 (or @t55 @t600))) % 64.10/64.61 (assume @p508 @t604) % 64.10/64.61 (assume @p509 true) % 64.10/64.61 (step @p510 :rule aci_norm :args ((= (or @t547 @t610) @t609))) % 64.10/64.61 (step @p511 :rule aci_norm :args ((= (or @t608 @t611) @t610))) % 64.10/64.61 (step @p512 :rule aci_norm :args ((= (or @t112 @t612) @t611))) % 64.10/64.61 (step @p513 :rule aci_norm :args ((= (or @t109 @t613) @t612))) % 64.10/64.61 (step @p514 :rule aci_norm :args ((= (or @t607 @t614) @t613))) % 64.10/64.61 (step @p515 :rule aci_norm :args ((= (or @t606 (or @t605 @t120)) @t614))) % 64.10/64.61 (step @p516 :rule bool-impl-elim :args (@t105 @t120)) % 64.10/64.61 (step @p517 :rule refl :args (@t606)) % 64.10/64.61 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t606 @t121))) % 64.10/64.61 (step @p519 :rule trans :premises (@p518 @p515)) % 64.10/64.61 (step @p520 :rule bool-impl-elim :args (@t97 @t121)) % 64.10/64.61 (step @p521 :rule trans :premises (@p520 @p519)) % 64.10/64.61 (step @p522 :rule refl :args (@t607)) % 64.10/64.61 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or @t607 @t122))) % 64.10/64.61 (step @p524 :rule trans :premises (@p523 @p514)) % 64.10/64.61 (step @p525 :rule bool-impl-elim :args (@t98 @t122)) % 64.10/64.61 (step @p526 :rule trans :premises (@p525 @p524)) % 64.10/64.61 (step @p527 :rule refl :args (@t109)) % 64.10/64.61 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or @t109 @t123))) % 64.10/64.61 (step @p529 :rule trans :premises (@p528 @p513)) % 64.10/64.61 (step @p530 :rule refl :args (@t123)) % 64.10/64.61 (step @p531 :rule bool-double-not-elim :args (@t109)) % 64.10/64.61 (step @p532 :rule nary_cong :premises (@p531 @p530) :args ((or @t615 @t123))) % 64.10/64.61 (step @p533 :rule bool-impl-elim :args (@t110 @t123)) % 64.10/64.61 (step @p534 :rule trans :premises (@p533 @p532)) % 64.10/64.61 (step @p535 :rule trans :premises (@p534 @p529)) % 64.10/64.61 (step @p536 :rule refl :args (@t112)) % 64.10/64.61 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or @t112 @t124))) % 64.10/64.61 (step @p538 :rule trans :premises (@p537 @p512)) % 64.10/64.61 (step @p539 :rule refl :args (@t124)) % 64.10/64.61 (step @p540 :rule bool-double-not-elim :args (@t112)) % 64.10/64.61 (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or @t616 @t124))) % 64.10/64.61 (step @p542 :rule bool-impl-elim :args (@t113 @t124)) % 64.10/64.61 (step @p543 :rule trans :premises (@p542 @p541)) % 64.10/64.61 (step @p544 :rule trans :premises (@p543 @p538)) % 64.10/64.61 (step @p545 :rule refl :args (@t608)) % 64.10/64.61 (step @p546 :rule nary_cong :premises (@p545 @p544) :args ((or @t608 @t125))) % 64.10/64.61 (step @p547 :rule trans :premises (@p546 @p511)) % 64.10/64.61 (step @p548 :rule refl :args (@t125)) % 64.10/64.61 (step @p549 :rule bool-double-not-elim :args (@t608)) % 64.10/64.61 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t618 @t125))) % 64.10/64.61 (step @p551 :rule bool-impl-elim :args (@t617 @t125)) % 64.10/64.61 (step @p552 :rule trans :premises (@p551 @p550)) % 64.10/64.61 (step @p553 :rule trans :premises (@p552 @p547)) % 64.10/64.61 (step @p554 :rule refl :args (@t547)) % 64.10/64.61 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t547 @t619))) % 64.10/64.61 (step @p556 :rule trans :premises (@p555 @p510)) % 64.10/64.61 (step @p557 :rule refl :args (@t619)) % 64.10/64.61 (step @p558 :rule bool-double-not-elim :args (@t547)) % 64.10/64.61 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t621 @t619))) % 64.10/64.61 (step @p560 :rule bool-impl-elim :args (@t620 @t619)) % 64.10/64.61 (step @p561 :rule trans :premises (@p560 @p559)) % 64.10/64.61 (step @p562 :rule trans :premises (@p561 @p556)) % 64.10/64.61 (step @p563 :rule cong :premises (@p562) :args ((forall @t118 (=> @t620 @t619)))) % 64.10/64.61 (step @p564 :rule refl :args (@t125)) % 64.10/64.61 (step @p565 :rule eq-symm :args (@t101 @t100)) % 64.10/64.61 (step @p566 :rule cong :premises (@p565) :args (@t115)) % 64.10/64.61 (step @p567 :rule cong :premises (@p566 @p564) :args (@t126)) % 64.10/64.61 (step @p568 :rule eq-symm :args (@t23 @t24)) % 64.10/64.61 (step @p569 :rule cong :premises (@p568) :args (@t99)) % 64.10/64.61 (step @p570 :rule cong :premises (@p569 @p567) :args (@t127)) % 64.10/64.61 (step @p571 :rule cong :premises (@p570) :args (@t128)) % 64.10/64.61 (step @p572 :rule trans :premises (@p571 @p563)) % 64.10/64.61 (step @p573 :rule eq_resolve :premises (@p29 @p572)) % 64.10/64.61 (step @p574 :rule refl :args (@t603)) % 64.10/64.61 (step @p575 :rule refl :args (@t622)) % 64.10/64.61 (step @p576 :rule refl :args (@t623)) % 64.10/64.61 (step @p577 :rule refl :args (@t624)) % 64.10/64.61 (step @p578 :rule eq-symm :args (tptp.v_a____ tptp.v_b____)) % 64.10/64.61 (step @p579 :rule refl :args (@t8)) % 64.10/64.61 (step @p580 :rule eq-symm :args (tptp.v_c____ tptp.v_b____)) % 64.10/64.61 (step @p581 :rule nary_cong :premises (@p578 @p580 @p579 @p578 @p577 @p576 @p575 @p574) :args (@t626)) % 64.10/64.61 (step @p582 :rule refl :args (@t627)) % 64.10/64.61 (step @p583 :rule cong :premises (@p582 @p581) :args ((=> @t627 @t626))) % 64.10/64.61 (assume-push @p674 @t627) % 64.10/64.61 (step @p585 :rule instantiate :premises (@p573) :args (@t628)) % 64.10/64.61 (step-pop @p675 :rule scope :premises (@p585)) % 64.10/64.61 (step @p586 :rule process_scope :premises (@p675) :args (@t626)) % 64.10/64.61 (step @p588 :rule eq_resolve :premises (@p586 @p583)) % 64.10/64.61 (step @p589 :rule implies_elim :premises (@p588)) % 64.10/64.61 (step @p590 :rule chain_m_resolution :premises (@p589 @p573) :args (@t630 @t631 (@list @t627))) % 64.10/64.61 (step @p591 :rule symm :premises (@p4)) % 64.10/64.61 (step @p592 :rule cnf_or_pos :args (@t630)) % 64.10/64.61 (step @p593 :rule factoring :premises (@p592)) % 64.10/64.61 (step @p594 :rule reordering :premises (@p593) :args ((or @t8 @t603 @t629 @t622 @t624 @t623 (not @t630)))) % 64.10/64.61 (step @p595 :rule chain_m_resolution :premises (@p594 @p5 @p591 @p7 @p9 @p10 @p590) :args (@t603 (@list true true false false false false) (@list @t8 @t629 @t18 @t20 @t21 @t630))) % 64.10/64.61 (step @p596 :rule not_equiv_elim2 :premises (@p508)) % 64.10/64.61 (step @p597 :rule aci_norm :args ((= (or @t547 @t634) @t633))) % 64.10/64.61 (step @p598 :rule aci_norm :args ((= (or @t608 @t635) @t634))) % 64.10/64.61 (step @p599 :rule aci_norm :args ((= (or @t112 @t636) @t635))) % 64.10/64.61 (step @p600 :rule aci_norm :args ((= (or @t109 @t637) @t636))) % 64.10/64.61 (step @p601 :rule aci_norm :args ((= (or @t607 @t638) @t637))) % 64.10/64.61 (step @p602 :rule aci_norm :args ((= (or @t606 @t639) @t638))) % 64.10/64.61 (step @p603 :rule aci_norm :args ((= (or @t605 (or @t632 @t103)) @t639))) % 64.10/64.61 (step @p604 :rule bool-impl-elim :args (@t94 @t103)) % 64.10/64.61 (step @p605 :rule refl :args (@t605)) % 64.10/64.61 (step @p606 :rule nary_cong :premises (@p605 @p604) :args ((or @t605 @t104))) % 64.10/64.61 (step @p607 :rule trans :premises (@p606 @p603)) % 64.10/64.61 (step @p608 :rule bool-impl-elim :args (@t105 @t104)) % 64.10/64.61 (step @p609 :rule trans :premises (@p608 @p607)) % 64.10/64.61 (step @p610 :rule nary_cong :premises (@p517 @p609) :args ((or @t606 @t106))) % 64.10/64.61 (step @p611 :rule trans :premises (@p610 @p602)) % 64.10/64.61 (step @p612 :rule bool-impl-elim :args (@t97 @t106)) % 64.10/64.61 (step @p613 :rule trans :premises (@p612 @p611)) % 64.10/64.61 (step @p614 :rule nary_cong :premises (@p522 @p613) :args ((or @t607 @t107))) % 64.10/64.61 (step @p615 :rule trans :premises (@p614 @p601)) % 64.10/64.61 (step @p616 :rule bool-impl-elim :args (@t98 @t107)) % 64.10/64.61 (step @p617 :rule trans :premises (@p616 @p615)) % 64.10/64.61 (step @p618 :rule nary_cong :premises (@p527 @p617) :args ((or @t109 @t108))) % 64.10/64.61 (step @p619 :rule trans :premises (@p618 @p600)) % 64.10/64.61 (step @p620 :rule refl :args (@t108)) % 64.10/64.61 (step @p621 :rule nary_cong :premises (@p531 @p620) :args ((or @t615 @t108))) % 64.10/64.61 (step @p622 :rule bool-impl-elim :args (@t110 @t108)) % 64.10/64.61 (step @p623 :rule trans :premises (@p622 @p621)) % 64.10/64.61 (step @p624 :rule trans :premises (@p623 @p619)) % 64.10/64.61 (step @p625 :rule nary_cong :premises (@p536 @p624) :args ((or @t112 @t111))) % 64.10/64.61 (step @p626 :rule trans :premises (@p625 @p599)) % 64.10/64.61 (step @p627 :rule refl :args (@t111)) % 64.10/64.61 (step @p628 :rule nary_cong :premises (@p540 @p627) :args ((or @t616 @t111))) % 64.10/64.61 (step @p629 :rule bool-impl-elim :args (@t113 @t111)) % 64.10/64.61 (step @p630 :rule trans :premises (@p629 @p628)) % 64.10/64.61 (step @p631 :rule trans :premises (@p630 @p626)) % 64.10/64.61 (step @p632 :rule nary_cong :premises (@p545 @p631) :args ((or @t608 @t114))) % 64.10/64.61 (step @p633 :rule trans :premises (@p632 @p598)) % 64.10/64.61 (step @p634 :rule refl :args (@t114)) % 64.10/64.61 (step @p635 :rule nary_cong :premises (@p549 @p634) :args ((or @t618 @t114))) % 64.10/64.61 (step @p636 :rule bool-impl-elim :args (@t617 @t114)) % 64.10/64.61 (step @p637 :rule trans :premises (@p636 @p635)) % 64.10/64.61 (step @p638 :rule trans :premises (@p637 @p633)) % 64.10/64.61 (step @p639 :rule nary_cong :premises (@p554 @p638) :args ((or @t547 @t640))) % 64.10/64.61 (step @p640 :rule trans :premises (@p639 @p597)) % 64.10/64.61 (step @p641 :rule refl :args (@t640)) % 64.10/64.61 (step @p642 :rule nary_cong :premises (@p558 @p641) :args ((or @t621 @t640))) % 64.10/64.61 (step @p643 :rule bool-impl-elim :args (@t620 @t640)) % 64.10/64.61 (step @p644 :rule trans :premises (@p643 @p642)) % 64.10/64.61 (step @p645 :rule trans :premises (@p644 @p640)) % 64.10/64.61 (step @p646 :rule cong :premises (@p645) :args ((forall @t118 (=> @t620 @t640)))) % 64.10/64.61 (step @p647 :rule refl :args (@t114)) % 64.10/64.61 (step @p648 :rule cong :premises (@p566 @p647) :args (@t116)) % 64.10/64.61 (step @p649 :rule cong :premises (@p569 @p648) :args (@t117)) % 64.10/64.61 (step @p650 :rule cong :premises (@p649) :args (@t119)) % 64.10/64.61 (step @p651 :rule trans :premises (@p650 @p646)) % 64.10/64.61 (step @p652 :rule eq_resolve :premises (@p28 @p651)) % 64.10/64.61 (step @p653 :rule refl :args (@t601)) % 64.10/64.61 (step @p654 :rule refl :args (@t641)) % 64.10/64.61 (step @p655 :rule nary_cong :premises (@p578 @p580 @p579 @p578 @p577 @p576 @p575 @p654 @p653) :args (@t642)) % 64.10/64.61 (step @p656 :rule refl :args (@t643)) % 64.10/64.61 (step @p657 :rule cong :premises (@p656 @p655) :args ((=> @t643 @t642))) % 64.10/64.61 (assume-push @p676 @t643) % 64.10/64.61 (step @p659 :rule instantiate :premises (@p652) :args (@t628)) % 64.10/64.61 (step-pop @p677 :rule scope :premises (@p659)) % 64.10/64.61 (step @p660 :rule process_scope :premises (@p677) :args (@t642)) % 64.10/64.61 (step @p662 :rule eq_resolve :premises (@p660 @p657)) % 64.10/64.61 (step @p663 :rule implies_elim :premises (@p662)) % 64.10/64.61 (step @p664 :rule chain_m_resolution :premises (@p663 @p652) :args (@t644 @t631 (@list @t643))) % 64.10/64.61 (step @p665 :rule cnf_or_pos :args (@t644)) % 64.10/64.61 (step @p666 :rule factoring :premises (@p665)) % 64.10/64.61 (step @p667 :rule reordering :premises (@p666) :args ((or @t8 @t601 @t629 @t622 @t624 @t623 @t641 (not @t644)))) % 64.10/64.61 (step @p668 :rule chain_m_resolution :premises (@p667 @p664 @p10 @p9 @p7 @p5 @p591 @p596) :args (@t641 (@list false false false false true true true) (@list @t644 @t21 @t20 @t18 @t8 @t629 @t601))) % 64.10/64.61 (step @p669 :rule not_equiv_elim1 :premises (@p508)) % 64.10/64.61 (step @p670 :rule chain_m_resolution :premises (@p669 @p668) :args (@t601 (@list true) (@list @t602))) % 64.10/64.61 (step @p671 :rule cnf_equiv_pos2 :args (@t603)) % 64.10/64.61 (step @p672 :rule reordering :premises (@p671) :args ((or @t602 @t604 (not @t601)))) % 64.10/64.61 (step @p673 false :rule chain_m_resolution :premises (@p672 @p670 @p668 @p595) :args (false (@list false true false) (@list @t601 @t602 @t603))) % 64.10/64.61 ) % 64.10/64.61 % SZS output end Proof % 64.10/64.61 % cvc5 exiting %------------------------------------------------------------------------------