%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT146+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 : n010.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 08:46:21 AM UTC 2026 % Result : Theorem 0.86s 1.13s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT146+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 14:30:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.53/0.70 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.13 % SZS status Theorem % 0.86/1.13 % SZS output start Proof % 0.86/1.13 ( % 0.86/1.13 (declare-sort $$unsorted 0) % 0.86/1.13 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_fNot $$unsorted) % 0.86/1.13 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_fconj $$unsorted) % 0.86/1.13 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.86/1.13 (declare-const tptp.v_a____ $$unsorted) % 0.86/1.13 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.86/1.13 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.v_b____ $$unsorted) % 0.86/1.13 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.86/1.13 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.v_P____ $$unsorted) % 0.86/1.13 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_fequal $$unsorted) % 0.86/1.13 (declare-const tptp.v_P_H____ $$unsorted) % 0.86/1.13 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow $$unsorted) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.86/1.13 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.v_F $$unsorted) % 0.86/1.13 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.13 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.v_c____ $$unsorted) % 0.86/1.13 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.86/1.13 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.13 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.86/1.13 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.86/1.13 (define @t3 () (@var "B_x" $$unsorted)) % 0.86/1.13 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.86/1.13 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.86/1.13 (define @t6 () (@list @t3)) % 0.86/1.13 (define @t7 () (@var "B_i" $$unsorted)) % 0.86/1.13 (define @t8 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.86/1.13 (define @t9 () (tptp.hAPP @t8 tptp.v_b____)) % 0.86/1.13 (define @t10 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.86/1.13 (define @t11 () (tptp.c_member @t10)) % 0.86/1.13 (define @t12 () (tptp.hAPP @t11 (tptp.hAPP @t9 tptp.v_a____))) % 0.86/1.13 (define @t13 () (tptp.hAPP tptp.v_P____ @t7)) % 0.86/1.13 (define @t14 () (tptp.hAPP @t8 tptp.v_a____)) % 0.86/1.13 (define @t15 () (tptp.hAPP @t11 (tptp.hAPP @t14 tptp.v_b____))) % 0.86/1.13 (define @t16 () (tptp.hBOOL (tptp.hAPP @t15 @t13))) % 0.86/1.13 (define @t17 () (@list @t7)) % 0.86/1.13 (define @t18 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t13) tptp.v_c____) tptp.v_b____)) % 0.86/1.13 (define @t19 () (tptp.hAPP @t11 (tptp.hAPP @t14 tptp.v_c____))) % 0.86/1.13 (define @t20 () (tptp.hBOOL (tptp.hAPP @t19 @t18))) % 0.86/1.13 (define @t21 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t18) tptp.v_b____) tptp.v_a____)) % 0.86/1.13 (define @t22 () (tptp.hAPP @t11 (tptp.hAPP @t9 tptp.v_c____))) % 0.86/1.13 (define @t23 () (tptp.hBOOL (tptp.hAPP @t22 @t21))) % 0.86/1.13 (define @t24 () (tptp.hBOOL (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t21) tptp.v_a____) tptp.v_c____)))) % 0.86/1.13 (define @t25 () (forall @t17 (= @t23 @t24))) % 0.86/1.13 (define @t26 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t27 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t26)) % 0.86/1.13 (define @t28 () (tptp.c_member @t27)) % 0.86/1.13 (define @t29 () (@var "V_B_2" $$unsorted)) % 0.86/1.13 (define @t30 () (@var "V_ca_2" $$unsorted)) % 0.86/1.13 (define @t31 () (@var "T_a" $$unsorted)) % 0.86/1.13 (define @t32 () (tptp.c_member @t31)) % 0.86/1.13 (define @t33 () (tptp.hAPP @t32 @t30)) % 0.86/1.13 (define @t34 () (tptp.hBOOL (tptp.hAPP @t33 @t29))) % 0.86/1.13 (define @t35 () (@var "V_A_2" $$unsorted)) % 0.86/1.13 (define @t36 () (tptp.hBOOL (tptp.hAPP @t33 @t35))) % 0.86/1.13 (define @t37 () (=> @t36 (not @t34))) % 0.86/1.13 (define @t38 () (= @t35 @t29)) % 0.86/1.13 (define @t39 () (@var "V_L_2" $$unsorted)) % 0.86/1.13 (define @t40 () (@var "V_y_2" $$unsorted)) % 0.86/1.13 (define @t41 () (@var "V_x_2" $$unsorted)) % 0.86/1.13 (define @t42 () (tptp.hAPP @t8 @t41)) % 0.86/1.13 (define @t43 () (tptp.hAPP @t11 (tptp.hAPP @t42 @t40))) % 0.86/1.13 (define @t44 () (tptp.hBOOL (tptp.hAPP @t43 @t39))) % 0.86/1.13 (define @t45 () (@var "V_z_2" $$unsorted)) % 0.86/1.13 (define @t46 () (= @t41 @t45)) % 0.86/1.13 (define @t47 () (not @t46)) % 0.86/1.13 (define @t48 () (= @t41 @t40)) % 0.86/1.13 (define @t49 () (not @t48)) % 0.86/1.13 (define @t50 () (= @t40 @t45)) % 0.86/1.13 (define @t51 () (not @t50)) % 0.86/1.13 (define @t52 () (@list @t45 @t39 @t40 @t41)) % 0.86/1.13 (define @t53 () (@var "V_R_2" $$unsorted)) % 0.86/1.13 (define @t54 () (@var "T_b" $$unsorted)) % 0.86/1.13 (define @t55 () (tptp.c_Product__Type_OPair @t31 @t54)) % 0.86/1.13 (define @t56 () (tptp.hAPP @t55 @t41)) % 0.86/1.13 (define @t57 () (tptp.hAPP @t56 @t40)) % 0.86/1.13 (define @t58 () (tptp.tc_prod @t31 @t54)) % 0.86/1.13 (define @t59 () (tptp.c_member @t58)) % 0.86/1.13 (define @t60 () (tptp.hAPP @t59 @t57)) % 0.86/1.13 (define @t61 () (@var "V_Pa_2" $$unsorted)) % 0.86/1.13 (define @t62 () (@var "V_y_H_2" $$unsorted)) % 0.86/1.13 (define @t63 () (tptp.c_Product__Type_OPair @t58 @t58)) % 0.86/1.13 (define @t64 () (tptp.c_member (tptp.tc_prod @t58 @t58))) % 0.86/1.13 (define @t65 () (tptp.c_Product__Type_OPair @t54 @t54)) % 0.86/1.13 (define @t66 () (tptp.c_member (tptp.tc_prod @t54 @t54))) % 0.86/1.13 (define @t67 () (tptp.hAPP @t61 @t41)) % 0.86/1.13 (define @t68 () (tptp.hBOOL @t67)) % 0.86/1.13 (define @t69 () (@var "V_r_2" $$unsorted)) % 0.86/1.13 (define @t70 () (tptp.c_Product__Type_OPair @t31 @t31)) % 0.86/1.13 (define @t71 () (tptp.hAPP @t70 @t3)) % 0.86/1.13 (define @t72 () (tptp.hAPP @t71 @t3)) % 0.86/1.13 (define @t73 () (tptp.tc_prod @t31 @t31)) % 0.86/1.13 (define @t74 () (tptp.c_member @t73)) % 0.86/1.13 (define @t75 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t72) @t69))) % 0.86/1.13 (define @t76 () (@list @t69 @t31)) % 0.86/1.13 (define @t77 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t26)) % 0.86/1.13 (define @t78 () (tptp.hAPP (tptp.c_COMBB @t26 (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t77) tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.c_Arrow__Order__Mirabelle_Obelow)) % 0.86/1.13 (define @t79 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t77)) % 0.86/1.13 (define @t80 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t26)) % 0.86/1.13 (define @t81 () (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t78 tptp.v_P____)) tptp.v_c____)) tptp.v_b____)) % 0.86/1.13 (define @t82 () (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP tptp.v_F @t81)))) % 0.86/1.13 (define @t83 () (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t78 @t81)) tptp.v_b____)) tptp.v_a____)) % 0.86/1.13 (define @t84 () (tptp.hBOOL (tptp.hAPP @t22 (tptp.hAPP tptp.v_F @t83)))) % 0.86/1.13 (define @t85 () (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t78 @t83)) tptp.v_a____)) tptp.v_c____)) % 0.86/1.13 (define @t86 () (tptp.c_List_Olist_ONil tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.86/1.13 (define @t87 () (tptp.c_List_Olist_OCons tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.86/1.13 (define @t88 () (tptp.hAPP @t87 tptp.v_b____)) % 0.86/1.13 (define @t89 () (tptp.hAPP @t87 tptp.v_a____)) % 0.86/1.13 (define @t90 () (@var "B_b" $$unsorted)) % 0.86/1.13 (define @t91 () (@var "B_a" $$unsorted)) % 0.86/1.13 (define @t92 () (tptp.hAPP (tptp.hAPP @t55 @t91) @t90)) % 0.86/1.13 (define @t93 () (@list @t91 @t90)) % 0.86/1.13 (define @t94 () (@var "B_x1" $$unsorted)) % 0.86/1.13 (define @t95 () (@var "V_aa_2" $$unsorted)) % 0.86/1.13 (define @t96 () (tptp.hAPP @t32 @t95)) % 0.86/1.13 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 @t35))) % 0.86/1.13 (define @t98 () (@var "V_ba_2" $$unsorted)) % 0.86/1.13 (define @t99 () (tptp.hAPP @t32 @t98)) % 0.86/1.13 (define @t100 () (= @t95 @t98)) % 0.86/1.13 (define @t101 () (@list @t35 @t31 @t98 @t95)) % 0.86/1.13 (define @t102 () (tptp.hAPP @t32 @t41)) % 0.86/1.13 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t35))) % 0.86/1.13 (define @t104 () (tptp.hBOOL (tptp.hAPP @t102 @t29))) % 0.86/1.13 (define @t105 () (tptp.hAPP @t35 @t41)) % 0.86/1.13 (define @t106 () (tptp.hBOOL @t105)) % 0.86/1.13 (define @t107 () (@var "V_b_H" $$unsorted)) % 0.86/1.13 (define @t108 () (@var "V_b" $$unsorted)) % 0.86/1.13 (define @t109 () (@var "V_a_H" $$unsorted)) % 0.86/1.13 (define @t110 () (@var "V_a" $$unsorted)) % 0.86/1.13 (define @t111 () (@var "V_b_H_2" $$unsorted)) % 0.86/1.13 (define @t112 () (@var "V_a_H_2" $$unsorted)) % 0.86/1.13 (define @t113 () (= @t95 @t112)) % 0.86/1.13 (define @t114 () (tptp.hAPP (tptp.hAPP @t55 @t112) @t111)) % 0.86/1.13 (define @t115 () (tptp.hAPP @t55 @t95)) % 0.86/1.13 (define @t116 () (tptp.hAPP @t115 @t98)) % 0.86/1.13 (define @t117 () (@var "B_c" $$unsorted)) % 0.86/1.13 (define @t118 () (tptp.hAPP (tptp.hAPP @t87 @t117) @t86)) % 0.86/1.13 (define @t119 () (@list @t117)) % 0.86/1.13 (define @t120 () (@var "V_P_Ha_2" $$unsorted)) % 0.86/1.13 (define @t121 () (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t8 @t112) @t111))) % 0.86/1.13 (define @t122 () (tptp.hBOOL (tptp.hAPP @t121 (tptp.hAPP tptp.v_F @t120)))) % 0.86/1.13 (define @t123 () (tptp.hAPP @t8 @t95)) % 0.86/1.13 (define @t124 () (tptp.hAPP @t11 (tptp.hAPP @t123 @t98))) % 0.86/1.13 (define @t125 () (tptp.hBOOL (tptp.hAPP @t124 (tptp.hAPP tptp.v_F @t61)))) % 0.86/1.13 (define @t126 () (forall @t17 (= (tptp.hBOOL (tptp.hAPP @t124 (tptp.hAPP @t61 @t7))) (tptp.hBOOL (tptp.hAPP @t121 (tptp.hAPP @t120 @t7)))))) % 0.86/1.13 (define @t127 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t120) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.13 (define @t128 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t61) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.13 (define @t129 () (not (= @t98 @t112))) % 0.86/1.13 (define @t130 () (not (= @t95 @t111))) % 0.86/1.13 (define @t131 () (not (= @t112 @t111))) % 0.86/1.13 (define @t132 () (not @t100)) % 0.86/1.13 (define @t133 () (@list @t120 @t61 @t111 @t112 @t98 @t95)) % 0.86/1.13 (define @t134 () (@var "V_S_2" $$unsorted)) % 0.86/1.13 (define @t135 () (= @t53 @t134)) % 0.86/1.13 (define @t136 () (tptp.tc_fun @t58 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t137 () (tptp.tc_fun @t136 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t138 () (tptp.tc_fun @t54 @t137)) % 0.86/1.13 (define @t139 () (tptp.tc_fun @t54 @t58)) % 0.86/1.13 (define @t140 () (tptp.tc_fun @t54 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t141 () (tptp.hAPP (tptp.c_COMBC @t31 @t136 @t140) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t138 (tptp.tc_fun @t136 @t140) @t31) (tptp.c_COMBC @t54 @t136 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t139 @t138 @t31) (tptp.hAPP (tptp.c_COMBB @t58 @t137 @t54) @t59)) @t55)))) % 0.86/1.13 (define @t142 () (tptp.hAPP @t141 @t134)) % 0.86/1.13 (define @t143 () (tptp.hAPP @t141 @t53)) % 0.86/1.13 (define @t144 () (@list @t134 @t53 @t54 @t31)) % 0.86/1.13 (define @t145 () (@var "V_f1_2" $$unsorted)) % 0.86/1.13 (define @t146 () (tptp.hAPP (tptp.hAPP @t145 @t95) @t98)) % 0.86/1.13 (define @t147 () (@var "T_c" $$unsorted)) % 0.86/1.13 (define @t148 () (tptp.c_Product__Type_OPair @t54 @t147)) % 0.86/1.13 (define @t149 () (tptp.hAPP (tptp.hAPP @t148 @t95) @t98)) % 0.86/1.13 (define @t150 () (@list @t98 @t95 @t145 @t31 @t147 @t54)) % 0.86/1.13 (define @t151 () (tptp.c_FuncSet_OPi @t27 @t26 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t26 tptp.tc_HOL_Obool) @t27 tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.86/1.13 (define @t152 () (tptp.c_member (tptp.tc_fun @t27 @t26))) % 0.86/1.13 (define @t153 () (tptp.c_List_Olist_ONil @t31)) % 0.86/1.13 (define @t154 () (@list @t31)) % 0.86/1.13 (define @t155 () (@var "V_list_H" $$unsorted)) % 0.86/1.13 (define @t156 () (tptp.c_List_Olist_OCons @t31)) % 0.86/1.13 (define @t157 () (tptp.hAPP (tptp.hAPP @t156 @t109) @t155)) % 0.86/1.13 (define @t158 () (@list @t155 @t109 @t31)) % 0.86/1.13 (define @t159 () (@var "V_s_2" $$unsorted)) % 0.86/1.13 (define @t160 () (tptp.hAPP @t70 @t95)) % 0.86/1.13 (define @t161 () (= @t110 @t108)) % 0.86/1.13 (define @t162 () (not @t161)) % 0.86/1.13 (define @t163 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t39)) % 0.86/1.13 (define @t164 () (tptp.c_member @t26)) % 0.86/1.13 (define @t165 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t39) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.86/1.13 (define @t166 () (@list @t39 @t40 @t41)) % 0.86/1.13 (define @t167 () (@list @t41 @t39)) % 0.86/1.13 (define @t168 () (@list @t40 @t41 @t31)) % 0.86/1.13 (define @t169 () (@var "V_list_H_2" $$unsorted)) % 0.86/1.13 (define @t170 () (@var "V_list_2" $$unsorted)) % 0.86/1.13 (define @t171 () (tptp.hAPP @t156 @t95)) % 0.86/1.13 (define @t172 () (@var "V_xs" $$unsorted)) % 0.86/1.13 (define @t173 () (@var "V_x" $$unsorted)) % 0.86/1.13 (define @t174 () (tptp.hAPP @t156 @t173)) % 0.86/1.13 (define @t175 () (tptp.hAPP @t174 @t172)) % 0.86/1.13 (define @t176 () (@list @t173 @t31 @t172)) % 0.86/1.13 (define @t177 () (tptp.hAPP @t8 @t98)) % 0.86/1.13 (define @t178 () (tptp.tc_fun @t31 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t179 () (tptp.hAPP (tptp.c_COMBC @t31 @t178 tptp.tc_HOL_Obool) @t32)) % 0.86/1.13 (define @t180 () (tptp.hAPP @t179 @t134)) % 0.86/1.13 (define @t181 () (tptp.hAPP @t179 @t53)) % 0.86/1.13 (define @t182 () (@list @t134 @t53 @t31)) % 0.86/1.13 (define @t183 () (= @t41 @t95)) % 0.86/1.13 (define @t184 () (= @t40 @t98)) % 0.86/1.13 (define @t185 () (= @t40 @t95)) % 0.86/1.13 (define @t186 () (@list @t40 @t41 @t39 @t98 @t95)) % 0.86/1.13 (define @t187 () (tptp.hAPP @t29 @t41)) % 0.86/1.13 (define @t188 () (tptp.hAPP @t2 @t41)) % 0.86/1.13 (define @t189 () (tptp.c_member @t54)) % 0.86/1.13 (define @t190 () (tptp.hAPP @t189 @t188)) % 0.86/1.13 (define @t191 () (tptp.hBOOL (tptp.hAPP @t190 @t187))) % 0.86/1.13 (define @t192 () (tptp.c_FuncSet_OPi @t31 @t54 @t35 @t29)) % 0.86/1.13 (define @t193 () (tptp.tc_fun @t31 @t54)) % 0.86/1.13 (define @t194 () (tptp.c_member @t193)) % 0.86/1.13 (define @t195 () (tptp.hAPP @t194 @t2)) % 0.86/1.13 (define @t196 () (tptp.hBOOL (tptp.hAPP @t195 @t192))) % 0.86/1.13 (define @t197 () (@list @t41 @t29 @t35 @t2 @t54 @t31)) % 0.86/1.13 (define @t198 () (tptp.hBOOL (tptp.hAPP @t195 (tptp.c_FuncSet_OPi @t31 @t54 @t35 (tptp.c_COMBK @t140 @t31 @t29))))) % 0.86/1.13 (define @t199 () (= @t41 @t98)) % 0.86/1.13 (define @t200 () (tptp.c_COMBK @t178 @t31 @t35)) % 0.86/1.13 (define @t201 () (tptp.c_COMBI @t31)) % 0.86/1.13 (define @t202 () (@list @t35 @t31)) % 0.86/1.13 (define @t203 () (@var "V_i_2" $$unsorted)) % 0.86/1.13 (define @t204 () (@var "V_Fa_2" $$unsorted)) % 0.86/1.13 (define @t205 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t204 @t203)) % 0.86/1.13 (define @t206 () (tptp.hAPP @t204 @t3)) % 0.86/1.13 (define @t207 () (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t8 @t91) @t90))) % 0.86/1.13 (define @t208 () (tptp.hBOOL (tptp.hAPP @t207 @t206))) % 0.86/1.13 (define @t209 () (tptp.hAPP @t3 @t203)) % 0.86/1.13 (define @t210 () (= @t91 @t90)) % 0.86/1.13 (define @t211 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t3) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.13 (define @t212 () (@list @t203 @t204)) % 0.86/1.13 (define @t213 () (tptp.hBOOL (tptp.hAPP @t207 (tptp.hAPP @t3 @t7)))) % 0.86/1.13 (define @t214 () (@list @t204)) % 0.86/1.13 (define @t215 () (@var "B_xa" $$unsorted)) % 0.86/1.13 (define @t216 () (@var "V_va" $$unsorted)) % 0.86/1.13 (define @t217 () (@var "V_v" $$unsorted)) % 0.86/1.13 (define @t218 () (tptp.hAPP (tptp.hAPP @t156 @t217) @t216)) % 0.86/1.13 (define @t219 () (@var "V_ys" $$unsorted)) % 0.86/1.13 (define @t220 () (@var "V_y" $$unsorted)) % 0.86/1.13 (define @t221 () (tptp.hAPP @t156 @t220)) % 0.86/1.13 (define @t222 () (@list @t219 @t31)) % 0.86/1.13 (define @t223 () (@list @t172 @t31)) % 0.86/1.13 (define @t224 () (tptp.hAPP @t29 @t3)) % 0.86/1.13 (define @t225 () (tptp.hAPP @t189 @t5)) % 0.86/1.13 (define @t226 () (tptp.hAPP @t32 @t3)) % 0.86/1.13 (define @t227 () (tptp.hBOOL (tptp.hAPP @t226 @t35))) % 0.86/1.13 (define @t228 () (@list @t29 @t2 @t54 @t35 @t31)) % 0.86/1.13 (define @t229 () (tptp.c_List_Olist_ONil @t54)) % 0.86/1.13 (define @t230 () (@var "V_f2_2" $$unsorted)) % 0.86/1.13 (define @t231 () (tptp.c_List_Olist_OCons @t54)) % 0.86/1.13 (define @t232 () (tptp.hAPP (tptp.hAPP @t30 @t95) @t98)) % 0.86/1.13 (define @t233 () (tptp.c_List_Olexord @t31 @t69)) % 0.86/1.13 (define @t234 () (tptp.tc_List_Olist @t31)) % 0.86/1.13 (define @t235 () (tptp.c_Product__Type_OPair @t234 @t234)) % 0.86/1.13 (define @t236 () (tptp.hAPP @t235 @t41)) % 0.86/1.13 (define @t237 () (tptp.tc_prod @t234 @t234)) % 0.86/1.13 (define @t238 () (tptp.c_member @t237)) % 0.86/1.13 (define @t239 () (tptp.hAPP @t238 (tptp.hAPP @t236 @t40))) % 0.86/1.13 (define @t240 () (tptp.hBOOL (tptp.hAPP @t239 @t233))) % 0.86/1.13 (define @t241 () (tptp.hAPP @t74 (tptp.hAPP @t160 @t98))) % 0.86/1.13 (define @t242 () (tptp.hBOOL (tptp.hAPP @t241 @t69))) % 0.86/1.13 (define @t243 () (tptp.hAPP (tptp.hAPP @t156 @t98) @t40)) % 0.86/1.13 (define @t244 () (tptp.hAPP @t171 @t41)) % 0.86/1.13 (define @t245 () (tptp.hAPP @t174 @t153)) % 0.86/1.13 (define @t246 () (@list @t173 @t31)) % 0.86/1.13 (define @t247 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t31 @t54 tptp.tc_HOL_Obool @t2) @t95) @t98))) % 0.86/1.13 (define @t248 () (tptp.hBOOL (tptp.hAPP @t2 @t116))) % 0.86/1.13 (define @t249 () (@list @t69 @t41 @t31)) % 0.86/1.13 (define @t250 () (@list @t98 @t95 @t2 @t54 @t31)) % 0.86/1.13 (define @t251 () (tptp.c_List_Odistinct @t31 @t172)) % 0.86/1.13 (define @t252 () (@list @t173 @t172 @t31)) % 0.86/1.13 (define @t253 () (@list @t98 @t95 @t2 @t31 @t147 @t54)) % 0.86/1.13 (define @t254 () (tptp.hAPP @t156 @t91)) % 0.86/1.13 (define @t255 () (tptp.hAPP @t235 @t153)) % 0.86/1.13 (define @t256 () (tptp.hAPP @t235 @t40)) % 0.86/1.13 (define @t257 () (tptp.hAPP @t70 @t91)) % 0.86/1.13 (define @t258 () (forall @t6 (not @t75))) % 0.86/1.13 (define @t259 () (tptp.c_List_Olex @t31 @t69)) % 0.86/1.13 (define @t260 () (@var "V_xs_2" $$unsorted)) % 0.86/1.13 (define @t261 () (tptp.hAPP @t235 @t260)) % 0.86/1.13 (define @t262 () (tptp.hAPP @t238 (tptp.hAPP @t261 @t153))) % 0.86/1.13 (define @t263 () (@list @t69 @t260 @t31)) % 0.86/1.13 (define @t264 () (@var "V_ys_2" $$unsorted)) % 0.86/1.13 (define @t265 () (tptp.c_List_Olistrel @t31 @t69)) % 0.86/1.13 (define @t266 () (tptp.hAPP @t156 @t40)) % 0.86/1.13 (define @t267 () (tptp.hAPP @t266 @t264)) % 0.86/1.13 (define @t268 () (tptp.hAPP @t156 @t41)) % 0.86/1.13 (define @t269 () (tptp.hAPP @t268 @t260)) % 0.86/1.13 (define @t270 () (tptp.hAPP @t235 @t269)) % 0.86/1.13 (define @t271 () (tptp.hAPP @t238 (tptp.hAPP @t270 @t267))) % 0.86/1.13 (define @t272 () (tptp.hAPP @t238 (tptp.hAPP @t261 @t264))) % 0.86/1.13 (define @t273 () (tptp.hBOOL (tptp.hAPP @t272 @t265))) % 0.86/1.13 (define @t274 () (tptp.hAPP @t70 @t41)) % 0.86/1.13 (define @t275 () (tptp.hAPP @t74 (tptp.hAPP @t274 @t40))) % 0.86/1.13 (define @t276 () (tptp.hBOOL (tptp.hAPP @t275 @t69))) % 0.86/1.13 (define @t277 () (@list @t264 @t260 @t69 @t40 @t41 @t31)) % 0.86/1.13 (define @t278 () (@var "V_u_2" $$unsorted)) % 0.86/1.13 (define @t279 () (tptp.c_List_Oappend @t31)) % 0.86/1.13 (define @t280 () (tptp.hAPP @t279 @t278)) % 0.86/1.13 (define @t281 () (tptp.c_List_Olistrel1 @t31 @t69)) % 0.86/1.13 (define @t282 () (tptp.hBOOL (tptp.hAPP @t272 @t281))) % 0.86/1.13 (define @t283 () (= @t260 @t264)) % 0.86/1.13 (define @t284 () (@list @t69 @t264 @t40 @t260 @t41 @t31)) % 0.86/1.13 (define @t285 () (= @t260 @t153)) % 0.86/1.13 (define @t286 () (tptp.hAPP @t238 (tptp.hAPP @t255 @t260))) % 0.86/1.13 (define @t287 () (@var "V_us" $$unsorted)) % 0.86/1.13 (define @t288 () (@var "V_zs" $$unsorted)) % 0.86/1.13 (define @t289 () (tptp.hAPP @t279 @t172)) % 0.86/1.13 (define @t290 () (tptp.hAPP @t289 @t219)) % 0.86/1.13 (define @t291 () (@var "V_xs1" $$unsorted)) % 0.86/1.13 (define @t292 () (tptp.hAPP @t279 @t291)) % 0.86/1.13 (define @t293 () (@var "V_zs_2" $$unsorted)) % 0.86/1.13 (define @t294 () (= @t264 @t293)) % 0.86/1.13 (define @t295 () (tptp.hAPP @t279 @t293)) % 0.86/1.13 (define @t296 () (tptp.hAPP @t279 @t264)) % 0.86/1.13 (define @t297 () (tptp.hAPP @t279 @t260)) % 0.86/1.13 (define @t298 () (tptp.hAPP @t297 @t264)) % 0.86/1.13 (define @t299 () (@var "V_ts_2" $$unsorted)) % 0.86/1.13 (define @t300 () (@var "B_us" $$unsorted)) % 0.86/1.13 (define @t301 () (tptp.hAPP @t279 @t300)) % 0.86/1.13 (define @t302 () (tptp.hAPP (tptp.hAPP @t279 @t219) @t288)) % 0.86/1.13 (define @t303 () (tptp.hAPP (tptp.hAPP @t279 @t153) @t219)) % 0.86/1.13 (define @t304 () (= @t264 @t153)) % 0.86/1.13 (define @t305 () (and @t285 @t304)) % 0.86/1.13 (define @t306 () (@list @t264 @t260 @t31)) % 0.86/1.13 (define @t307 () (= @t172 @t219)) % 0.86/1.13 (define @t308 () (@var "V_vs_2" $$unsorted)) % 0.86/1.13 (define @t309 () (@var "V_us_2" $$unsorted)) % 0.86/1.13 (define @t310 () (@var "B_ys_H" $$unsorted)) % 0.86/1.13 (define @t311 () (tptp.hAPP (tptp.hAPP @t279 @t310) @t293)) % 0.86/1.13 (define @t312 () (tptp.hAPP @t268 @t310)) % 0.86/1.13 (define @t313 () (@list @t310)) % 0.86/1.13 (define @t314 () (tptp.hAPP @t296 @t293)) % 0.86/1.13 (define @t315 () (tptp.hAPP @t296 (tptp.hAPP @t266 @t153))) % 0.86/1.13 (define @t316 () (tptp.hAPP @t297 (tptp.hAPP @t268 @t153))) % 0.86/1.13 (define @t317 () (tptp.hAPP @t279 @t309)) % 0.86/1.13 (define @t318 () (@var "V_v_2" $$unsorted)) % 0.86/1.13 (define @t319 () (tptp.hAPP @t279 @t41)) % 0.86/1.13 (define @t320 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 (tptp.hAPP @t319 @t278)) (tptp.hAPP @t319 @t318))) @t233))) % 0.86/1.13 (define @t321 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t278) @t318)) @t233))) % 0.86/1.13 (define @t322 () (tptp.hAPP @t238 (tptp.hAPP @t270 (tptp.hAPP @t268 @t264)))) % 0.86/1.13 (define @t323 () (@list @t41 @t69 @t264 @t260 @t31)) % 0.86/1.13 (define @t324 () (tptp.hAPP @t255 @t153)) % 0.86/1.13 (define @t325 () (@var "V_xa_2" $$unsorted)) % 0.86/1.13 (define @t326 () (tptp.tc_fun @t73 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t327 () (tptp.tc_fun @t326 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t328 () (tptp.tc_fun @t31 @t327)) % 0.86/1.13 (define @t329 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t31 @t326 @t178) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t328 (tptp.tc_fun @t326 @t178) @t31) (tptp.c_COMBC @t31 @t326 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t31 @t73) @t328 @t31) (tptp.hAPP (tptp.c_COMBB @t73 @t327 @t31) @t74)) @t70))) @t69)) % 0.86/1.13 (define @t330 () (@var "B_ys" $$unsorted)) % 0.86/1.13 (define @t331 () (tptp.hAPP @t235 @t264)) % 0.86/1.13 (define @t332 () (@var "B_y" $$unsorted)) % 0.86/1.13 (define @t333 () (tptp.hAPP @t70 @t40)) % 0.86/1.13 (define @t334 () (tptp.hAPP @t156 @t332)) % 0.86/1.13 (define @t335 () (@var "B_xs" $$unsorted)) % 0.86/1.13 (define @t336 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t40)) @t69))) % 0.86/1.13 (define @t337 () (tptp.hAPP @t156 @t3)) % 0.86/1.13 (define @t338 () (tptp.hAPP @t238 (tptp.hAPP @t261 @t267))) % 0.86/1.13 (define @t339 () (@list @t69 @t264 @t40 @t260 @t31)) % 0.86/1.13 (define @t340 () (@var "B_vs" $$unsorted)) % 0.86/1.13 (define @t341 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t332)) @t69))) % 0.86/1.13 (define @t342 () (@list @t3 @t332)) % 0.86/1.13 (define @t343 () (@list @t69 @t264 @t260 @t31)) % 0.86/1.13 (define @t344 () (@list @t91)) % 0.86/1.13 (define @t345 () (@var "B_z" $$unsorted)) % 0.86/1.13 (define @t346 () (tptp.c_Nat_Osize__class_Osize @t234 @t264)) % 0.86/1.13 (define @t347 () (tptp.c_Nat_Osize__class_Osize @t234 @t260)) % 0.86/1.13 (define @t348 () (= @t347 @t346)) % 0.86/1.13 (define @t349 () (tptp.tc_fun @t234 @t234)) % 0.86/1.13 (define @t350 () (tptp.c_List_Orotate1 @t31 @t260)) % 0.86/1.13 (define @t351 () (@list @t260 @t31)) % 0.86/1.13 (define @t352 () (tptp.c_Nat_Osize__class_Osize @t234 @t172)) % 0.86/1.13 (define @t353 () (tptp.c_Nat_Osize__class_Osize @t234 @t219)) % 0.86/1.13 (define @t354 () (tptp.c_List_Odistinct @t31 @t260)) % 0.86/1.13 (define @t355 () (@var "V_a4_2" $$unsorted)) % 0.86/1.13 (define @t356 () (@var "V_a3_2" $$unsorted)) % 0.86/1.13 (define @t357 () (@var "V_a2_2" $$unsorted)) % 0.86/1.13 (define @t358 () (@var "V_a1_2" $$unsorted)) % 0.86/1.13 (define @t359 () (tptp.hAPP @t156 @t358)) % 0.86/1.13 (define @t360 () (= (tptp.c_Nat_Osize__class_Osize @t234 @t41) (tptp.c_Nat_Osize__class_Osize @t234 @t40))) % 0.86/1.13 (define @t361 () (@list @t69 @t40 @t41 @t31)) % 0.86/1.13 (define @t362 () (tptp.hAPP @t231 @t173)) % 0.86/1.13 (define @t363 () (@var "V_n_2" $$unsorted)) % 0.86/1.13 (define @t364 () (@list @t61 @t31)) % 0.86/1.13 (define @t365 () (tptp.c_Relation_Otrans @t31 @t69)) % 0.86/1.13 (define @t366 () (tptp.c_Transitive__Closure_Ortrancl @t234 @t281)) % 0.86/1.13 (define @t367 () (tptp.hBOOL (tptp.hAPP @t272 @t366))) % 0.86/1.13 (define @t368 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t69)) % 0.86/1.13 (define @t369 () (tptp.c_List_Olistrel @t31 @t368)) % 0.86/1.13 (define @t370 () (tptp.hBOOL (tptp.hAPP @t272 @t369))) % 0.86/1.13 (define @t371 () (@var "B_zs" $$unsorted)) % 0.86/1.13 (define @t372 () (@list @t371)) % 0.86/1.13 (define @t373 () (@list @t332)) % 0.86/1.13 (define @t374 () (@var "V_R2_2" $$unsorted)) % 0.86/1.13 (define @t375 () (@var "V_R1_2" $$unsorted)) % 0.86/1.13 (define @t376 () (tptp.hBOOL (tptp.hAPP @t275 @t368))) % 0.86/1.13 (define @t377 () (@list @t69 @t95 @t31)) % 0.86/1.13 (define @t378 () (@var "V_p_2" $$unsorted)) % 0.86/1.13 (define @t379 () (tptp.hAPP @t74 @t378)) % 0.86/1.13 (define @t380 () (tptp.hAPP @t74 (tptp.hAPP @t160 @t30))) % 0.86/1.13 (define @t381 () (tptp.hAPP @t70 @t98)) % 0.86/1.13 (define @t382 () (tptp.hAPP @t74 (tptp.hAPP @t381 @t30))) % 0.86/1.13 (define @t383 () (tptp.hBOOL (tptp.hAPP @t382 @t69))) % 0.86/1.13 (define @t384 () (tptp.hAPP @t70 @t332)) % 0.86/1.13 (define @t385 () (@list @t345)) % 0.86/1.13 (define @t386 () (forall @t342 (=> @t341 (forall @t385 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t384 @t345)) @t69)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t345)) @t69))))))) % 0.86/1.13 (define @t387 () (tptp.hBOOL (tptp.hAPP @t380 @t368))) % 0.86/1.13 (define @t388 () (=> (tptp.hBOOL (tptp.hAPP @t382 @t368)) @t387)) % 0.86/1.13 (define @t389 () (tptp.hBOOL (tptp.hAPP @t241 @t368))) % 0.86/1.13 (define @t390 () (@list @t30 @t69 @t98 @t95 @t31)) % 0.86/1.13 (define @t391 () (tptp.c_Wellfounded_Oacc @t31 @t69)) % 0.86/1.13 (define @t392 () (tptp.hBOOL (tptp.hAPP @t99 @t391))) % 0.86/1.13 (define @t393 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t381 @t95)) @t368))) % 0.86/1.13 (define @t394 () (tptp.hBOOL (tptp.hAPP @t96 @t391))) % 0.86/1.13 (define @t395 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t53)) % 0.86/1.13 (define @t396 () (tptp.c_Relation_ORange @t31 @t54 @t69)) % 0.86/1.13 (define @t397 () (tptp.hAPP @t189 @t98)) % 0.86/1.13 (define @t398 () (tptp.hAPP @t59 @t116)) % 0.86/1.13 (define @t399 () (tptp.hBOOL (tptp.hAPP @t398 @t69))) % 0.86/1.13 (define @t400 () (@list @t69 @t98 @t95 @t54 @t31)) % 0.86/1.13 (define @t401 () (tptp.c_Relation_ODomain @t31 @t54 @t69)) % 0.86/1.13 (define @t402 () (tptp.hBOOL (tptp.hAPP @t96 @t401))) % 0.86/1.13 (define @t403 () (tptp.c_Wellfounded_Oacc @t234 @t281)) % 0.86/1.13 (define @t404 () (tptp.c_member @t234)) % 0.86/1.13 (define @t405 () (tptp.hAPP @t404 @t269)) % 0.86/1.13 (define @t406 () (tptp.hAPP @t404 @t260)) % 0.86/1.13 (define @t407 () (tptp.hBOOL (tptp.hAPP @t406 @t403))) % 0.86/1.13 (define @t408 () (tptp.hBOOL (tptp.hAPP @t102 @t391))) % 0.86/1.13 (define @t409 () (tptp.c_Relation_Osingle__valued @t31 @t54 @t69)) % 0.86/1.13 (define @t410 () (tptp.hAPP @t55 @t3)) % 0.86/1.13 (define @t411 () (forall @t342 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP @t410 @t332)) @t69)) (forall @t385 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP @t410 @t345)) @t69)) (= @t332 @t345)))))) % 0.86/1.13 (define @t412 () (@list @t69 @t54 @t31)) % 0.86/1.13 (define @t413 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP @t115 @t332)) @t69))) % 0.86/1.13 (define @t414 () (@list @t69 @t54 @t95 @t31)) % 0.86/1.13 (define @t415 () (tptp.c_Product__Type_OPair @t54 @t31)) % 0.86/1.13 (define @t416 () (tptp.tc_prod @t54 @t31)) % 0.86/1.13 (define @t417 () (tptp.c_member @t416)) % 0.86/1.13 (define @t418 () (tptp.c_Relation_ORange @t54 @t31 @t69)) % 0.86/1.13 (define @t419 () (tptp.hAPP @t189 @t41)) % 0.86/1.13 (define @t420 () (tptp.hAPP @t141 @t69)) % 0.86/1.13 (define @t421 () (@list @t41 @t69 @t54 @t31)) % 0.86/1.13 (define @t422 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t95) @t98))) % 0.86/1.13 (define @t423 () (@list @t54 @t31 @t98 @t95 @t69)) % 0.86/1.13 (define @t424 () (tptp.c_Wellfounded_Oaccp @t31 @t69)) % 0.86/1.13 (define @t425 () (tptp.hBOOL (tptp.hAPP @t424 @t95))) % 0.86/1.13 (define @t426 () (tptp.hBOOL (tptp.hAPP @t406 (tptp.c_List_Olists @t31 @t391)))) % 0.86/1.13 (define @t427 () (tptp.c_Wellfounded_Oacc @t31 @t53)) % 0.86/1.13 (define @t428 () (tptp.c_Relation_OId__on @t31 @t35)) % 0.86/1.13 (define @t429 () (tptp.c_List_Olists @t31 @t35)) % 0.86/1.13 (define @t430 () (tptp.hBOOL (tptp.hAPP @t406 @t429))) % 0.86/1.13 (define @t431 () (@var "B_l" $$unsorted)) % 0.86/1.13 (define @t432 () (= @t95 (tptp.hAPP @t254 @t431))) % 0.86/1.13 (define @t433 () (@list @t91 @t431)) % 0.86/1.13 (define @t434 () (= @t95 @t153)) % 0.86/1.13 (define @t435 () (tptp.hAPP @t179 @t35)) % 0.86/1.13 (define @t436 () (@var "V_by_2" $$unsorted)) % 0.86/1.13 (define @t437 () (@var "V_bx_2" $$unsorted)) % 0.86/1.13 (define @t438 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t437) @t436))) % 0.86/1.13 (define @t439 () (@var "B_ba" $$unsorted)) % 0.86/1.13 (define @t440 () (@var "B_aa" $$unsorted)) % 0.86/1.13 (define @t441 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t440) @t439))) % 0.86/1.13 (define @t442 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t91) @t90))) % 0.86/1.13 (define @t443 () (tptp.hAPP (tptp.hAPP @t55 @t440) @t439)) % 0.86/1.13 (define @t444 () (tptp.hAPP @t63 @t92)) % 0.86/1.13 (define @t445 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t444 @t443)) @t69))) % 0.86/1.13 (define @t446 () (tptp.c_Transitive__Closure_Ortrancl @t58 @t69)) % 0.86/1.13 (define @t447 () (@var "V_ay_2" $$unsorted)) % 0.86/1.13 (define @t448 () (@var "V_ax_2" $$unsorted)) % 0.86/1.13 (define @t449 () (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t55 @t448) @t447))) % 0.86/1.13 (define @t450 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t448) @t447))) % 0.86/1.13 (define @t451 () (tptp.hAPP (tptp.hAPP @t55 @t437) @t436)) % 0.86/1.13 (define @t452 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t449 @t451)) @t446))) % 0.86/1.13 (define @t453 () (@list @t61 @t69 @t436 @t437 @t447 @t448 @t54 @t31)) % 0.86/1.13 (define @t454 () (tptp.c_List_Olistsp @t31 @t35)) % 0.86/1.13 (define @t455 () (tptp.c_List_Olistsp @t31 @t29)) % 0.86/1.13 (define @t456 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t457 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t456 @t31) tptp.c_fconj)) % 0.86/1.13 (define @t458 () (@list @t41 @t29 @t35 @t31)) % 0.86/1.13 (define @t459 () (@var "V_zb_2" $$unsorted)) % 0.86/1.13 (define @t460 () (@var "V_za_2" $$unsorted)) % 0.86/1.13 (define @t461 () (tptp.hAPP (tptp.hAPP @t55 @t460) @t459)) % 0.86/1.13 (define @t462 () (@var "V_xb_2" $$unsorted)) % 0.86/1.13 (define @t463 () (tptp.hAPP (tptp.hAPP @t55 @t325) @t462)) % 0.86/1.13 (define @t464 () (tptp.hAPP @t63 @t463)) % 0.86/1.13 (define @t465 () (@var "V_l_2" $$unsorted)) % 0.86/1.13 (define @t466 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t178)) % 0.86/1.13 (define @t467 () (tptp.c_List_Olistsp @t31 (tptp.hAPP (tptp.hAPP @t466 @t435) (tptp.hAPP @t179 @t29)))) % 0.86/1.13 (define @t468 () (tptp.c_List_Olists @t31 @t29)) % 0.86/1.13 (define @t469 () (tptp.hAPP @t404 @t465)) % 0.86/1.13 (define @t470 () (tptp.tc_fun @t234 @t237)) % 0.86/1.13 (define @t471 () (tptp.tc_fun @t237 @t237)) % 0.86/1.13 (define @t472 () (tptp.tc_fun @t234 @t471)) % 0.86/1.13 (define @t473 () (tptp.hBOOL @t187)) % 0.86/1.13 (define @t474 () (tptp.hAPP @t466 @t35)) % 0.86/1.13 (define @t475 () (tptp.hAPP @t474 @t29)) % 0.86/1.13 (define @t476 () (tptp.hBOOL (tptp.hAPP @t475 @t41))) % 0.86/1.13 (define @t477 () (tptp.hBOOL (tptp.hAPP @t33 @t475))) % 0.86/1.13 (define @t478 () (@list @t29 @t35 @t30 @t31)) % 0.86/1.13 (define @t479 () (tptp.tc_fun @t234 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t480 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t479)) % 0.86/1.13 (define @t481 () (tptp.c_List_Olistsp @t31 @t475)) % 0.86/1.13 (define @t482 () (@list @t29 @t35 @t31)) % 0.86/1.13 (define @t483 () (tptp.c_Product__Type_Oprod_Oprod__case @t54 @t147 @t31)) % 0.86/1.13 (define @t484 () (tptp.hAPP @t483 @t2)) % 0.86/1.13 (define @t485 () (@var "T_e" $$unsorted)) % 0.86/1.13 (define @t486 () (tptp.tc_prod @t54 @t147)) % 0.86/1.13 (define @t487 () (@var "T_d" $$unsorted)) % 0.86/1.13 (define @t488 () (@var "V_q_2" $$unsorted)) % 0.86/1.13 (define @t489 () (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t54 @t147)) % 0.86/1.13 (define @t490 () (tptp.hAPP @t489 @t30)) % 0.86/1.13 (define @t491 () (@var "V_C_2" $$unsorted)) % 0.86/1.13 (define @t492 () (tptp.hAPP @t466 @t29)) % 0.86/1.13 (define @t493 () (tptp.hAPP @t474 (tptp.hAPP @t492 @t491))) % 0.86/1.13 (define @t494 () (@list @t491 @t29 @t35 @t31)) % 0.86/1.13 (define @t495 () (tptp.hAPP @t2 @t95)) % 0.86/1.13 (define @t496 () (tptp.hAPP @t495 @t98)) % 0.86/1.13 (define @t497 () (@list @t159 @t69 @t31)) % 0.86/1.13 (define @t498 () (tptp.tc_fun @t54 @t147)) % 0.86/1.13 (define @t499 () (@list @t2 @t147 @t54 @t31)) % 0.86/1.13 (define @t500 () (tptp.hAPP @t489 @t2)) % 0.86/1.13 (define @t501 () (tptp.hAPP (tptp.c_COMBC @t234 @t479 tptp.tc_HOL_Obool) @t404)) % 0.86/1.13 (define @t502 () (tptp.hAPP @t1 @t41)) % 0.86/1.13 (define @t503 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31)) % 0.86/1.13 (define @t504 () (tptp.class_Lattices_Olattice @t31)) % 0.86/1.13 (define @t505 () (tptp.c_member @t147)) % 0.86/1.13 (define @t506 () (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t54 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t507 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2) @t116))) % 0.86/1.13 (define @t508 () (tptp.hBOOL @t496)) % 0.86/1.13 (define @t509 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t54 @t147 @t178) @t30)) % 0.86/1.13 (define @t510 () (tptp.hAPP @t32 @t45)) % 0.86/1.13 (define @t511 () (tptp.c_Set_Oimage @t54 @t31 @t2 @t35)) % 0.86/1.13 (define @t512 () (= @t98 @t188)) % 0.86/1.13 (define @t513 () (tptp.tc_fun @t147 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t514 () (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t54 @t513)) % 0.86/1.13 (define @t515 () (tptp.c_COMBB @t54 @t31 @t147)) % 0.86/1.13 (define @t516 () (tptp.c_Set_Oimage @t31 @t54 @t2 @t35)) % 0.86/1.13 (define @t517 () (tptp.tc_fun @t31 @t456)) % 0.86/1.13 (define @t518 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t136)) % 0.86/1.13 (define @t519 () (tptp.tc_fun @t31 @t140)) % 0.86/1.13 (define @t520 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t519)) % 0.86/1.13 (define @t521 () (@var "V_z" $$unsorted)) % 0.86/1.13 (define @t522 () (tptp.hAPP @t503 @t220)) % 0.86/1.13 (define @t523 () (tptp.hAPP @t522 @t521)) % 0.86/1.13 (define @t524 () (tptp.hAPP @t503 @t173)) % 0.86/1.13 (define @t525 () (tptp.hAPP @t524 @t523)) % 0.86/1.13 (define @t526 () (tptp.hAPP @t524 @t220)) % 0.86/1.13 (define @t527 () (= (tptp.hAPP (tptp.hAPP @t503 @t526) @t521) @t525)) % 0.86/1.13 (define @t528 () (tptp.class_Lattices_Osemilattice__inf @t31)) % 0.86/1.13 (define @t529 () (@list @t521 @t220 @t173 @t31)) % 0.86/1.13 (define @t530 () (@var "V_c" $$unsorted)) % 0.86/1.13 (define @t531 () (tptp.hAPP @t503 @t108)) % 0.86/1.13 (define @t532 () (tptp.hAPP @t503 @t110)) % 0.86/1.13 (define @t533 () (tptp.hAPP @t532 (tptp.hAPP @t531 @t530))) % 0.86/1.13 (define @t534 () (tptp.hAPP @t532 @t108)) % 0.86/1.13 (define @t535 () (@list @t530 @t108 @t110 @t31)) % 0.86/1.13 (define @t536 () (= @t525 (tptp.hAPP @t522 (tptp.hAPP @t524 @t521)))) % 0.86/1.13 (define @t537 () (@list @t530 @t110 @t108 @t31)) % 0.86/1.13 (define @t538 () (= (tptp.hAPP @t524 @t526) @t526)) % 0.86/1.13 (define @t539 () (@list @t220 @t173 @t31)) % 0.86/1.13 (define @t540 () (@list @t108 @t110 @t31)) % 0.86/1.13 (define @t541 () (= @t526 (tptp.hAPP @t522 @t173))) % 0.86/1.13 (define @t542 () (@var "V_Y_2" $$unsorted)) % 0.86/1.13 (define @t543 () (tptp.hAPP @t289 @t245)) % 0.86/1.13 (define @t544 () (@var "B_w" $$unsorted)) % 0.86/1.13 (define @t545 () (tptp.hBOOL (tptp.hAPP @t187 @t40))) % 0.86/1.13 (define @t546 () (tptp.hBOOL (tptp.hAPP @t105 @t40))) % 0.86/1.13 (define @t547 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t520 @t35) @t29) @t41) @t40))) % 0.86/1.13 (define @t548 () (@list @t40 @t41 @t29 @t35 @t54 @t31)) % 0.86/1.13 (define @t549 () (tptp.c_List_Olast @t31 @t172)) % 0.86/1.13 (define @t550 () (tptp.c_List_Olast @t31 @t175)) % 0.86/1.13 (define @t551 () (= @t172 @t153)) % 0.86/1.13 (define @t552 () (not @t551)) % 0.86/1.13 (define @t553 () (=> @t552 (= @t550 @t549))) % 0.86/1.13 (define @t554 () (=> @t551 (= @t550 @t173))) % 0.86/1.13 (define @t555 () (tptp.c_List_Olast @t31 @t290)) % 0.86/1.13 (define @t556 () (= @t219 @t153)) % 0.86/1.13 (define @t557 () (not @t556)) % 0.86/1.13 (define @t558 () (=> @t557 (= @t555 (tptp.c_List_Olast @t31 @t219)))) % 0.86/1.13 (define @t559 () (=> @t556 (= @t555 @t549))) % 0.86/1.13 (define @t560 () (@list @t172 @t31 @t219)) % 0.86/1.13 (define @t561 () (tptp.c_List_Obutlast @t31 @t172)) % 0.86/1.13 (define @t562 () (@list @t31 @t172)) % 0.86/1.13 (define @t563 () (tptp.c_List_Obutlast @t31 @t175)) % 0.86/1.13 (define @t564 () (tptp.c_List_Obutlast @t31 @t290)) % 0.86/1.13 (define @t565 () (tptp.hAPP @t505 @t45)) % 0.86/1.13 (define @t566 () (tptp.tc_fun @t31 tptp.tc_Nat_Onat)) % 0.86/1.13 (define @t567 () (tptp.c_List_OtakeWhile @t31 @t61 @t260)) % 0.86/1.13 (define @t568 () (@list @t61 @t260 @t31)) % 0.86/1.13 (define @t569 () (tptp.c_List_OtakeWhile @t31 @t61 @t269)) % 0.86/1.13 (define @t570 () (not @t68)) % 0.86/1.13 (define @t571 () (@list @t260 @t31 @t41 @t61)) % 0.86/1.13 (define @t572 () (tptp.hAPP @t279 @t567)) % 0.86/1.13 (define @t573 () (tptp.c_List_OdropWhile @t31 @t61 @t260)) % 0.86/1.13 (define @t574 () (tptp.c_Fun_Ooverride__on @t31 @t54 @t2 @t1 @t35 @t95)) % 0.86/1.13 (define @t575 () (=> (not @t97) (= @t574 @t495))) % 0.86/1.13 (define @t576 () (=> @t97 (= @t574 (tptp.hAPP @t1 @t95)))) % 0.86/1.13 (define @t577 () (@list @t1 @t2 @t54 @t35 @t95 @t31)) % 0.86/1.13 (define @t578 () (tptp.c_List_OdropWhile @t31 @t61 @t269)) % 0.86/1.13 (define @t579 () (@list @t260 @t61 @t31)) % 0.86/1.13 (define @t580 () (@var "V_h_2" $$unsorted)) % 0.86/1.13 (define @t581 () (tptp.c_FuncSet_Ocompose @t31 @t54 @t147 @t35 @t1 @t2)) % 0.86/1.13 (define @t582 () (@var "V_D_2" $$unsorted)) % 0.86/1.13 (define @t583 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t498) @t1) (tptp.c_FuncSet_OPi @t54 @t147 @t29 (tptp.c_COMBK @t513 @t54 @t491))))) % 0.86/1.13 (define @t584 () (tptp.tc_fun @t237 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t29 @t35)) % 0.86/1.13 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t35 @t29)) % 0.86/1.13 (define @t587 () (=> @t36 @t34)) % 0.86/1.13 (define @t588 () (@list @t30 @t29 @t35 @t31)) % 0.86/1.13 (define @t589 () (tptp.c_Orderings_Oord__class_Oless__eq @t136 @t69 @t159)) % 0.86/1.13 (define @t590 () (@list @t159 @t69 @t54 @t31)) % 0.86/1.13 (define @t591 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t159)) % 0.86/1.13 (define @t592 () (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t368 @t591)) % 0.86/1.13 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t69 @t159)) % 0.86/1.13 (define @t594 () (@list @t374 @t375 @t31)) % 0.86/1.13 (define @t595 () (@var "V_Q_2" $$unsorted)) % 0.86/1.13 (define @t596 () (tptp.hAPP @t595 @t41)) % 0.86/1.13 (define @t597 () (tptp.hBOOL @t596)) % 0.86/1.13 (define @t598 () (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t61 @t595)) % 0.86/1.13 (define @t599 () (@list @t31 @t29 @t35)) % 0.86/1.13 (define @t600 () (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t35 @t491)) % 0.86/1.13 (define @t601 () (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t29 @t491)) % 0.86/1.13 (define @t602 () (@var "V_A_H_2" $$unsorted)) % 0.86/1.13 (define @t603 () (tptp.tc_fun @t193 tptp.tc_HOL_Obool)) % 0.86/1.13 (define @t604 () (@var "B_AA" $$unsorted)) % 0.86/1.13 (define @t605 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t108)) % 0.86/1.13 (define @t606 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t110)) % 0.86/1.13 (define @t607 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t534)) % 0.86/1.13 (define @t608 () (@list @t108 @t110 @t173 @t31)) % 0.86/1.14 (define @t609 () (@var "V_d" $$unsorted)) % 0.86/1.14 (define @t610 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t110 @t530)) % 0.86/1.14 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t521)) % 0.86/1.14 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t220)) % 0.86/1.14 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t220 @t173)) % 0.86/1.14 (define @t614 () (@list @t173 @t220 @t31)) % 0.86/1.14 (define @t615 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t534 @t173)) % 0.86/1.14 (define @t616 () (@list @t110 @t173 @t108 @t31)) % 0.86/1.14 (define @t617 () (@list @t108 @t173 @t110 @t31)) % 0.86/1.14 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t41 @t40)) % 0.86/1.14 (define @t619 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t526 @t220)) % 0.86/1.14 (define @t620 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t526 @t173)) % 0.86/1.14 (define @t621 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t140)) % 0.86/1.14 (define @t622 () (@list @t29 @t35 @t2 @t54 @t31)) % 0.86/1.14 (define @t623 () (@list @t29 @t35 @t54 @t31)) % 0.86/1.14 (define @t624 () (tptp.tc_fun @t416 tptp.tc_HOL_Obool)) % 0.86/1.14 (define @t625 () (tptp.class_Orderings_Opreorder @t31)) % 0.86/1.14 (define @t626 () (tptp.c_Orderings_Oord__class_Oless__eq @t193 @t2 @t1)) % 0.86/1.14 (define @t627 () (tptp.class_Orderings_Oord @t54)) % 0.86/1.14 (define @t628 () (@list @t1 @t2 @t31 @t54)) % 0.86/1.14 (define @t629 () (tptp.hAPP @t174 @t219)) % 0.86/1.14 (define @t630 () (tptp.c_Nat_Osize__class_Osize @t234 @t567)) % 0.86/1.14 (define @t631 () (tptp.class_Orderings_Olinorder @t31)) % 0.86/1.14 (define @t632 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t521 @t220)) % 0.86/1.14 (define @t633 () (tptp.class_Orderings_Oorder @t31)) % 0.86/1.14 (define @t634 () (@list @t521 @t173 @t220 @t31)) % 0.86/1.14 (define @t635 () (= @t173 @t220)) % 0.86/1.14 (define @t636 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t220 @t521)) % 0.86/1.14 (define @t637 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t530 @t110)) % 0.86/1.14 (define @t638 () (= @t108 @t530)) % 0.86/1.14 (define @t639 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t108 @t110)) % 0.86/1.14 (define @t640 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t110 @t108)) % 0.86/1.14 (define @t641 () (tptp.class_Orderings_Oord @t31)) % 0.86/1.14 (define @t642 () (= @t618 @t48)) % 0.86/1.14 (define @t643 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t41)) % 0.86/1.14 (define @t644 () (@list @t41 @t40 @t31)) % 0.86/1.14 (define @t645 () (@var "V_fs_2" $$unsorted)) % 0.86/1.14 (define @t646 () (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_List_Omeasures @t31 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t566) @t2) @t645))))) % 0.86/1.14 (define @t647 () (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_List_Omeasures @t31 @t645)))) % 0.86/1.14 (define @t648 () (tptp.hAPP @t2 @t40)) % 0.86/1.14 (define @t649 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t188 @t648)) % 0.86/1.14 (define @t650 () (@list @t645 @t31 @t40 @t41 @t2)) % 0.86/1.14 (define @t651 () (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_Wellfounded_Omlex__prod @t31 @t2 @t53)))) % 0.86/1.14 (define @t652 () (@list @t53 @t31 @t40 @t41 @t2)) % 0.86/1.14 (define @t653 () (tptp.hBOOL (tptp.hAPP @t596 @t40))) % 0.86/1.14 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq @t519 @t61 @t595)) % 0.86/1.14 (define @t655 () (tptp.hBOOL (tptp.hAPP @t67 @t40))) % 0.86/1.14 (define @t656 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t188 @t648)) % 0.86/1.14 (define @t657 () (tptp.c_Orderings_Oord__class_Oless @t31 @t41 @t40)) % 0.86/1.14 (define @t658 () (not @t657)) % 0.86/1.14 (define @t659 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t41)) % 0.86/1.14 (define @t660 () (tptp.c_Orderings_Oord__class_Oless @t31 @t220 @t173)) % 0.86/1.14 (define @t661 () (tptp.c_Orderings_Oord__class_Oless @t31 @t173 @t220)) % 0.86/1.14 (define @t662 () (not @t661)) % 0.86/1.14 (define @t663 () (tptp.c_Orderings_Oord__class_Oless @t31 @t110 @t108)) % 0.86/1.14 (define @t664 () (tptp.c_Orderings_Oord__class_Oless @t31 @t108 @t110)) % 0.86/1.14 (define @t665 () (= @t658 @t48)) % 0.86/1.14 (define @t666 () (@list @t110 @t108 @t31)) % 0.86/1.14 (define @t667 () (tptp.c_Orderings_Oord__class_Oless @t31 @t173 @t521)) % 0.86/1.14 (define @t668 () (tptp.c_Orderings_Oord__class_Oless @t31 @t521 @t173)) % 0.86/1.14 (define @t669 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t220 @t521) @t667)) % 0.86/1.14 (define @t670 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t521 @t220) @t668)) % 0.86/1.14 (define @t671 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t220)) % 0.86/1.14 (define @t672 () (@list @t220 @t173)) % 0.86/1.14 (define @t673 () (tptp.c_Orderings_Oord__class_Oless @t31 @t534 @t173)) % 0.86/1.14 (define @t674 () (not @t635)) % 0.86/1.14 (define @t675 () (tptp.c_Orderings_Oord__class_Oless @t31 @t110 @t530)) % 0.86/1.14 (define @t676 () (tptp.c_Orderings_Oord__class_Oless @t31 @t530 @t110)) % 0.86/1.14 (define @t677 () (@var "V_m_2" $$unsorted)) % 0.86/1.14 (define @t678 () (= @t677 @t363)) % 0.86/1.14 (define @t679 () (not @t678)) % 0.86/1.14 (define @t680 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t677 @t363)) % 0.86/1.14 (define @t681 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t677 @t363)) % 0.86/1.14 (define @t682 () (@list @t363 @t677)) % 0.86/1.14 (define @t683 () (tptp.c_Orderings_Oord__class_Oless @t178 @t35 @t491)) % 0.86/1.14 (define @t684 () (=> (tptp.c_Orderings_Oord__class_Oless @t178 @t29 @t491) @t683)) % 0.86/1.14 (define @t685 () (tptp.c_Orderings_Oord__class_Oless @t178 @t35 @t29)) % 0.86/1.14 (define @t686 () (@var "V_n" $$unsorted)) % 0.86/1.14 (define @t687 () (@list @t686)) % 0.86/1.14 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t363 @t677)) % 0.86/1.14 (define @t689 () (@var "V_m" $$unsorted)) % 0.86/1.14 (define @t690 () (= @t689 @t686)) % 0.86/1.14 (define @t691 () (not @t690)) % 0.86/1.14 (define @t692 () (@var "V_t" $$unsorted)) % 0.86/1.14 (define @t693 () (@var "V_s" $$unsorted)) % 0.86/1.14 (define @t694 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t363) @t677))) % 0.86/1.14 (define @t695 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t689)) % 0.86/1.14 (define @t696 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t689 @t686)) % 0.86/1.14 (define @t697 () (@list @t686 @t689)) % 0.86/1.14 (define @t698 () (@var "V_k" $$unsorted)) % 0.86/1.14 (define @t699 () (@var "V_i" $$unsorted)) % 0.86/1.14 (define @t700 () (@var "V_j" $$unsorted)) % 0.86/1.14 (define @t701 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t689 @t686)) % 0.86/1.14 (define @t702 () (@var "B_n" $$unsorted)) % 0.86/1.14 (define @t703 () (tptp.c_Product__Type_OSigma @t31 @t31 @t35 @t200)) % 0.86/1.14 (define @t704 () (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t69 @t703)) % 0.86/1.14 (define @t705 () (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Product__Type_OSigma @t31 @t54 @t35 @t29)))) % 0.86/1.14 (define @t706 () (tptp.hBOOL (tptp.hAPP @t397 (tptp.hAPP @t29 @t95)))) % 0.86/1.14 (define @t707 () (tptp.c_List_Onth @t31 @t260 @t7)) % 0.86/1.14 (define @t708 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t347)) % 0.86/1.14 (define @t709 () (@var "V_j_2" $$unsorted)) % 0.86/1.14 (define @t710 () (tptp.c_List_Onth @t31 @t260 @t709)) % 0.86/1.14 (define @t711 () (@var "B_j" $$unsorted)) % 0.86/1.14 (define @t712 () (tptp.c_COMBK @t178 @t54 @t491)) % 0.86/1.14 (define @t713 () (tptp.c_Product__Type_OSigma @t54 @t31 @t29 @t712)) % 0.86/1.14 (define @t714 () (tptp.c_Product__Type_OSigma @t54 @t31 @t35 @t712)) % 0.86/1.14 (define @t715 () (tptp.hBOOL (tptp.hAPP @t102 @t491))) % 0.86/1.14 (define @t716 () (@list @t29 @t35 @t54 @t491 @t41 @t31)) % 0.86/1.14 (define @t717 () (@var "V_J_2" $$unsorted)) % 0.86/1.14 (define @t718 () (@var "V_I_2" $$unsorted)) % 0.86/1.14 (define @t719 () (tptp.c_COMBK @t140 @t31 @t491)) % 0.86/1.14 (define @t720 () (@list @t29 @t35 @t98 @t95 @t54 @t31)) % 0.86/1.14 (define @t721 () (@var "T_1" $$unsorted)) % 0.86/1.14 (define @t722 () (@var "T_2" $$unsorted)) % 0.86/1.14 (define @t723 () (tptp.tc_fun @t722 @t721)) % 0.86/1.14 (define @t724 () (tptp.class_Lattices_Olattice @t721)) % 0.86/1.14 (define @t725 () (@list @t722 @t721)) % 0.86/1.14 (define @t726 () (@var "V_P" $$unsorted)) % 0.86/1.14 (define @t727 () (@var "V_Q" $$unsorted)) % 0.86/1.14 (define @t728 () (tptp.hAPP @t595 @t53)) % 0.86/1.14 (define @t729 () (tptp.hAPP @t61 @t53)) % 0.86/1.14 (define @t730 () (@list @t53 @t595 @t61 @t31 @t147 @t54)) % 0.86/1.14 (define @t731 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t41) @t40))) % 0.86/1.14 (define @t732 () (@list @t40 @t41)) % 0.86/1.14 (define @t733 () (tptp.hBOOL @t61)) % 0.86/1.14 (define @t734 () (not @t733)) % 0.86/1.14 (define @t735 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t61))) % 0.86/1.14 (define @t736 () (@list @t61)) % 0.86/1.14 (define @t737 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t61) @t595))) % 0.86/1.14 (define @t738 () (tptp.hBOOL @t595)) % 0.86/1.14 (define @t739 () (@list @t595 @t61)) % 0.86/1.14 (define @t740 () (not @t737)) % 0.86/1.14 (define @t741 () (forall @t17 (= @t24 @t16))) % 0.86/1.14 (define @t742 () (not @t741)) % 0.86/1.14 (define @t743 () (@quantifiers_skolemize (forall @t17 (= @t16 @t24)) 0)) % 0.86/1.14 (define @t744 () (@list @t743)) % 0.86/1.14 (define @t745 () (tptp.hAPP tptp.v_P____ @t743)) % 0.86/1.14 (define @t746 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t745) tptp.v_c____) tptp.v_b____)) % 0.86/1.14 (define @t747 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t746) tptp.v_b____) tptp.v_a____)) % 0.86/1.14 (define @t748 () (tptp.hBOOL (tptp.hAPP @t22 @t747))) % 0.86/1.14 (define @t749 () (tptp.hBOOL (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t747) tptp.v_a____) tptp.v_c____)))) % 0.86/1.14 (define @t750 () (= @t748 @t749)) % 0.86/1.14 (define @t751 () (= @t749 @t748)) % 0.86/1.14 (define @t752 () (tptp.hBOOL (tptp.hAPP @t15 @t745))) % 0.86/1.14 (define @t753 () (= @t752 @t749)) % 0.86/1.14 (define @t754 () (not @t751)) % 0.86/1.14 (define @t755 () (not @t749)) % 0.86/1.14 (define @t756 () (tptp.hBOOL (tptp.hAPP @t19 @t746))) % 0.86/1.14 (define @t757 () (= @t752 @t756)) % 0.86/1.14 (define @t758 () (not @t757)) % 0.86/1.14 (define @t759 () (not @t756)) % 0.86/1.14 (define @t760 () (= @t756 @t748)) % 0.86/1.14 (define @t761 () (not @t760)) % 0.86/1.14 (define @t762 () (not @t748)) % 0.86/1.14 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.86/1.14 (assume @p2 (not (= tptp.v_a____ tptp.v_b____))) % 0.86/1.14 (assume @p3 (forall @t17 (= @t16 (tptp.hBOOL (tptp.hAPP @t12 (tptp.hAPP tptp.v_P_H____ @t7)))))) % 0.86/1.14 (assume @p4 (forall @t17 (= @t16 @t20))) % 0.86/1.14 (assume @p5 (forall @t17 (= @t20 @t23))) % 0.86/1.14 (assume @p6 @t25) % 0.86/1.14 (assume @p7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.14 (assume @p8 (forall (@list @t30 @t31 @t29 @t35) (=> @t38 (=> @t37 (not (=> (not @t36) @t34)))))) % 0.86/1.14 (assume @p9 (forall @t52 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t39 @t45))) (and @t51 (=> @t46 @t49) (=> @t47 @t44))))) % 0.86/1.14 (assume @p10 (forall @t52 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.c_Arrow__Order__Mirabelle_Omktop @t39 @t45))) (and @t47 (=> @t50 @t49) (=> @t51 @t44))))) % 0.86/1.14 (assume @p11 (forall (@list @t40 @t41 @t53 @t54 @t31) (= (tptp.c_FunDef_Oin__rel @t31 @t54 @t53 @t41 @t40) (tptp.hBOOL (tptp.hAPP @t60 @t53))))) % 0.86/1.14 (assume @p12 (forall (@list @t31 @t53 @t40 @t62 @t54 @t41 @t61) (=> @t68 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t65 @t62) @t40)) (tptp.hAPP @t53 @t41))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t56 @t62)) @t57)) (tptp.c_Recdef_Osame__fst @t31 @t54 @t61 @t53))))))) % 0.86/1.14 (assume @p13 (forall @t76 (= (tptp.c_Nitpick_Orefl_H @t31 @t69) (forall @t6 @t75)))) % 0.86/1.14 (assume @p14 (= (tptp.hBOOL (tptp.hAPP @t15 (tptp.hAPP tptp.v_F tptp.v_P____))) @t82)) % 0.86/1.14 (assume @p15 (= @t82 @t84)) % 0.86/1.14 (assume @p16 (= @t84 (tptp.hBOOL (tptp.hAPP @t12 (tptp.hAPP tptp.v_F @t85))))) % 0.86/1.14 (assume @p17 (tptp.c_List_Odistinct tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t89 (tptp.hAPP @t88 (tptp.hAPP (tptp.hAPP @t87 tptp.v_c____) @t86))))) % 0.86/1.14 (assume @p18 (forall (@list @t54 @t31 @t61) (= (forall (@list @t94) (tptp.hBOOL (tptp.hAPP @t61 @t94))) (forall @t93 (tptp.hBOOL (tptp.hAPP @t61 @t92)))))) % 0.86/1.14 (assume @p19 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.86/1.14 (assume @p20 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.86/1.14 (assume @p21 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.14 (assume @p22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t81) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.14 (assume @p23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t85) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.14 (assume @p24 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t83) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.86/1.14 (assume @p25 (forall @t101 (=> @t100 (=> (tptp.hBOOL (tptp.hAPP @t99 @t35)) @t97)))) % 0.86/1.14 (assume @p26 (forall (@list @t35 @t31 @t40 @t41) (=> @t48 (= @t103 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t40) @t35)))))) % 0.86/1.14 (assume @p27 (forall (@list @t41 @t31 @t29 @t35) (=> @t38 (= @t103 @t104)))) % 0.86/1.14 (assume @p28 (forall (@list @t35 @t41 @t31) (= @t103 @t106))) % 0.86/1.14 (assume @p29 (forall (@list @t107 @t109 @t108 @t110 @t54 @t31) (=> (= (tptp.hAPP (tptp.hAPP @t55 @t110) @t108) (tptp.hAPP (tptp.hAPP @t55 @t109) @t107)) (not (=> (= @t110 @t109) (not (= @t108 @t107))))))) % 0.86/1.14 (assume @p30 (forall (@list @t111 @t112 @t98 @t95 @t54 @t31) (= (= @t116 @t114) (and @t113 (= @t98 @t111))))) % 0.86/1.14 (assume @p31 (not (forall @t119 (not (tptp.c_List_Odistinct tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t89 (tptp.hAPP @t88 @t118))))))) % 0.86/1.14 (assume @p32 (forall @t133 (=> @t132 (=> @t131 (=> @t130 (=> @t129 (=> @t128 (=> @t127 (=> @t126 (=> @t125 @t122)))))))))) % 0.86/1.14 (assume @p33 (forall @t133 (=> @t132 (=> @t131 (=> @t130 (=> @t129 (=> @t128 (=> @t127 (=> @t126 (= @t125 @t122)))))))))) % 0.86/1.14 (assume @p34 (forall @t144 (= (= @t143 @t142) @t135))) % 0.86/1.14 (assume @p35 (forall @t150 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t54 @t147 @t31 @t145 @t149) @t146))) % 0.86/1.14 (assume @p36 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t152 tptp.v_F) @t151))) % 0.86/1.14 (assume @p37 (forall @t154 (tptp.c_List_Odistinct @t31 @t153))) % 0.86/1.14 (assume @p38 (forall @t158 (not (= @t153 @t157)))) % 0.86/1.14 (assume @p39 (forall @t158 (not (= @t157 @t153)))) % 0.86/1.14 (assume @p40 (forall (@list @t159 @t69 @t111 @t112 @t98 @t95 @t54 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t63 @t116) @t114)) (tptp.c_Wellfounded_Olex__prod @t31 @t54 @t69 @t159))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t160 @t112)) @t69)) (and @t113 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t65 @t98) @t111)) @t159))))))) % 0.86/1.14 (assume @p41 (forall (@list @t108 @t110) (=> @t162 (exists @t119 (tptp.c_List_Odistinct tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP (tptp.hAPP @t87 @t110) (tptp.hAPP (tptp.hAPP @t87 @t108) @t118))))))) % 0.86/1.14 (assume @p42 (forall @t166 (=> @t49 (=> @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 (tptp.hAPP (tptp.hAPP @t163 @t41) @t40)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 0.86/1.14 (assume @p43 (forall @t167 (=> @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 (tptp.c_Arrow__Order__Mirabelle_Omktop @t39 @t41)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 0.86/1.14 (assume @p44 (forall @t167 (=> @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t39 @t41)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 0.86/1.14 (assume @p45 (forall @t168 (= (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP tptp.c_fequal @t40))) @t48))) % 0.86/1.14 (assume @p46 (forall (@list @t169 @t112 @t170 @t95 @t31) (= (= (tptp.hAPP @t171 @t170) (tptp.hAPP (tptp.hAPP @t156 @t112) @t169)) (and @t113 (= @t170 @t169))))) % 0.86/1.14 (assume @p47 (forall (@list @t172 @t173 @t31) (not (= @t175 @t172)))) % 0.86/1.14 (assume @p48 (forall @t176 (not (= @t172 @t175)))) % 0.86/1.14 (assume @p49 (forall (@list @t40 @t41 @t39) (=> @t165 (=> @t49 (= (not @t44) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t8 @t40) @t41)) @t39))))))) % 0.86/1.14 (assume @p50 (forall (@list @t98 @t95 @t39) (=> @t165 (=> (tptp.hBOOL (tptp.hAPP @t124 @t39)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t177 @t95)) @t39))))))) % 0.86/1.14 (assume @p51 (forall @t182 (= (= @t181 @t180) @t135))) % 0.86/1.14 (assume @p52 (forall (@list @t39) (=> @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_COMBK @t26 tptp.tc_Arrow__Order__Mirabelle_Oindi @t39)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 0.86/1.14 (assume @p53 (forall @t186 (=> @t132 (=> @t165 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.hAPP (tptp.hAPP @t163 @t95) @t98))) (and @t49 (=> @t185 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t42 @t98)) @t39))) (=> (not @t185) (and (=> @t183 (or @t184 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t177 @t40)) @t39)))) (=> (not @t183) @t44))))))))) % 0.86/1.14 (assume @p54 (forall @t197 (=> @t196 (=> (not @t191) (not @t103))))) % 0.86/1.14 (assume @p55 (forall @t197 (=> @t198 (=> @t103 (tptp.hBOOL (tptp.hAPP @t190 @t29)))))) % 0.86/1.14 (assume @p56 (forall @t186 (=> @t132 (=> @t165 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.c_Arrow__Order__Mirabelle_Oabove @t39 @t95 @t98))) (and @t49 (=> @t199 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t123 @t40)) @t39))) (=> (not @t199) (and (=> @t184 (or @t183 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t42 @t95)) @t39)))) (=> (not @t184) @t44))))))))) % 0.86/1.14 (assume @p57 (forall @t197 (=> @t196 (=> @t103 @t191)))) % 0.86/1.14 (assume @p58 (forall @t202 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t31 @t31)) @t201) (tptp.c_FuncSet_OPi @t31 @t31 @t35 @t200))))) % 0.86/1.14 (assume @p59 (forall @t212 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t152 @t204) @t151)) (=> (forall @t6 (=> @t211 (forall @t93 (=> (not @t210) (=> (tptp.hBOOL (tptp.hAPP @t207 @t209)) @t208))))) @t205)))) % 0.86/1.14 (assume @p60 (forall @t214 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t204) (forall @t6 (=> @t211 (forall @t93 (=> (forall @t17 @t213) @t208))))))) % 0.86/1.14 (assume @p61 (forall @t214 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t204) (forall @t6 (=> @t211 (forall (@list @t215) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t215) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t93 (=> (forall @t17 (= @t213 (tptp.hBOOL (tptp.hAPP @t207 (tptp.hAPP @t215 @t7))))) (= @t208 (tptp.hBOOL (tptp.hAPP @t207 (tptp.hAPP @t204 @t215))))))))))))) % 0.86/1.14 (assume @p62 (forall @t212 (= @t205 (forall @t6 (=> @t211 (= @t206 @t209)))))) % 0.86/1.14 (assume @p63 (forall (@list @t216 @t217 @t31) (= (tptp.c_List_Osplice @t31 @t218 @t153) @t218))) % 0.86/1.14 (assume @p64 (forall (@list @t219 @t220 @t172 @t173 @t31) (= (tptp.c_List_Osplice @t31 @t175 (tptp.hAPP @t221 @t219)) (tptp.hAPP @t174 (tptp.hAPP @t221 (tptp.c_List_Osplice @t31 @t172 @t219)))))) % 0.86/1.14 (assume @p65 (forall @t222 (= (tptp.c_List_Osplice @t31 @t153 @t219) @t219))) % 0.86/1.14 (assume @p66 (forall @t223 (= (tptp.c_List_Osplice @t31 @t172 @t153) @t172))) % 0.86/1.14 (assume @p67 (forall @t166 (=> @t49 (=> @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 (tptp.c_Arrow__Order__Mirabelle_Oabove @t39 @t41 @t40)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 0.86/1.14 (assume @p68 (forall @t228 (=> (forall @t6 (=> @t227 (tptp.hBOOL (tptp.hAPP @t225 @t224)))) @t196))) % 0.86/1.14 (assume @p69 (forall (@list @t230 @t145 @t54 @t31) (= (tptp.c_List_Olist_Olist__case @t31 @t54 @t145 @t230 @t229) @t145))) % 0.86/1.14 (assume @p70 (forall (@list @t170 @t95 @t230 @t145 @t54 @t31) (= (tptp.c_List_Olist_Olist__case @t31 @t54 @t145 @t230 (tptp.hAPP (tptp.hAPP @t231 @t95) @t170)) (tptp.hAPP (tptp.hAPP @t230 @t95) @t170)))) % 0.86/1.14 (assume @p71 (forall (@list @t98 @t95 @t30 @t31 @t147 @t54) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t54 @t147 @t31) @t30) @t149) @t232))) % 0.86/1.14 (assume @p72 (forall @t228 (=> (forall @t6 (=> @t227 (tptp.hBOOL (tptp.hAPP @t225 @t29)))) @t198))) % 0.86/1.14 (assume @p73 (forall (@list @t98 @t95) (=> @t132 (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t3) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t124 @t3))))))) % 0.86/1.14 (assume @p74 (forall (@list @t40 @t41 @t30 @t31 @t147 @t54) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t54 @t147 @t31 @t30) @t41) @t40) (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t148 @t41) @t40))))) % 0.86/1.14 (assume @p75 (forall (@list @t69 @t40 @t98 @t41 @t95 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t244) @t243)) @t233)) (or @t242 (and @t100 @t240))))) % 0.86/1.14 (assume @p76 (forall @t246 (= (tptp.c_List_Oinsert @t31 @t173 @t153) @t245))) % 0.86/1.14 (assume @p77 (forall (@list @t98 @t95 @t54 @t31 @t2) (=> @t248 @t247))) % 0.86/1.14 (assume @p78 (forall @t249 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t236 @t153)) @t233))))) % 0.86/1.14 (assume @p79 (forall @t250 (=> @t247 @t248))) % 0.86/1.14 (assume @p80 (forall @t252 (=> @t251 (tptp.c_List_Odistinct @t31 (tptp.c_List_Oinsert @t31 @t173 @t172))))) % 0.86/1.14 (assume @p81 (forall @t253 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t54 @t147 @t31 @t2) @t95) @t98) (tptp.hAPP @t2 @t149)))) % 0.86/1.14 (assume @p82 (forall (@list @t69 @t40 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t255 @t40)) @t233)) (exists (@list @t91 @t3) (= @t40 (tptp.hAPP @t254 @t3)))))) % 0.86/1.14 (assume @p83 (forall (@list @t40 @t41 @t69 @t31) (=> (forall @t93 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t257 @t90)) @t69)) @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 @t90) @t91)) @t69)))) (or @t240 @t48 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t256 @t41)) @t233)))))) % 0.86/1.14 (assume @p84 (forall (@list @t40 @t69 @t31) (=> @t258 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t256 @t40)) @t233)))))) % 0.86/1.14 (assume @p85 (forall @t263 (not (tptp.hBOOL (tptp.hAPP @t262 @t259))))) % 0.86/1.14 (assume @p86 (forall (@list @t69 @t264 @t31) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t255 @t264)) @t259))))) % 0.86/1.14 (assume @p87 (forall @t277 (=> @t276 (=> @t273 (tptp.hBOOL (tptp.hAPP @t271 @t265)))))) % 0.86/1.14 (assume @p88 (forall (@list @t40 @t41 @t278 @t69 @t98 @t95 @t31) (=> @t242 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 (tptp.hAPP @t280 @t244)) (tptp.hAPP @t280 @t243))) @t233))))) % 0.86/1.14 (assume @p89 (forall @t284 (= (tptp.hBOOL (tptp.hAPP @t271 @t281)) (or (and @t276 @t283) (and @t48 @t282))))) % 0.86/1.14 (assume @p90 (forall @t263 (=> (tptp.hBOOL (tptp.hAPP @t286 @t265)) @t285))) % 0.86/1.14 (assume @p91 (forall @t263 (=> (tptp.hBOOL (tptp.hAPP @t262 @t265)) @t285))) % 0.86/1.14 (assume @p92 (forall (@list @t287 @t219 @t288 @t291 @t172 @t31) (=> (= (tptp.hAPP @t289 @t291) @t288) (=> (= @t219 (tptp.hAPP @t292 @t287)) (= @t290 (tptp.hAPP (tptp.hAPP @t279 @t288) @t287)))))) % 0.86/1.14 (assume @p93 (forall (@list @t293 @t260 @t264 @t31) (= (= (tptp.hAPP @t296 @t260) (tptp.hAPP @t295 @t260)) @t294))) % 0.86/1.14 (assume @p94 (forall (@list @t293 @t264 @t260 @t31) (= (= @t298 (tptp.hAPP @t297 @t293)) @t294))) % 0.86/1.14 (assume @p95 (forall (@list @t299 @t293 @t264 @t260 @t31) (= (= @t298 (tptp.hAPP @t295 @t299)) (exists (@list @t300) (or (and (= @t260 (tptp.hAPP @t295 @t300)) (= (tptp.hAPP @t301 @t264) @t299)) (and (= (tptp.hAPP @t297 @t300) @t293) (= @t264 (tptp.hAPP @t301 @t299)))))))) % 0.86/1.14 (assume @p96 (forall (@list @t288 @t219 @t172 @t31) (= (tptp.hAPP (tptp.hAPP @t279 @t290) @t288) (tptp.hAPP @t289 @t302)))) % 0.86/1.14 (assume @p97 (forall (@list @t219 @t172 @t173 @t31) (= (tptp.hAPP (tptp.hAPP @t279 @t175) @t219) (tptp.hAPP @t174 @t290)))) % 0.86/1.14 (assume @p98 (forall (@list @t288 @t172 @t219 @t291 @t173 @t31) (=> (= (tptp.hAPP @t174 @t291) @t219) (=> (= @t172 (tptp.hAPP @t292 @t288)) (= @t175 @t302))))) % 0.86/1.14 (assume @p99 (forall @t222 (= @t303 @t219))) % 0.86/1.14 (assume @p100 (forall @t306 (= (= @t153 @t298) @t305))) % 0.86/1.14 (assume @p101 (forall @t223 (= (tptp.hAPP @t289 @t153) @t172))) % 0.86/1.14 (assume @p102 (forall (@list @t264 @t31 @t260) (= (= @t260 @t298) @t304))) % 0.86/1.14 (assume @p103 (forall (@list @t260 @t31 @t264) (= (= @t264 @t298) @t285))) % 0.86/1.14 (assume @p104 (forall @t306 (= (= @t298 @t153) @t305))) % 0.86/1.14 (assume @p105 (forall @t306 (= (= @t298 @t260) @t304))) % 0.86/1.14 (assume @p106 (forall @t306 (= (= @t298 @t264) @t285))) % 0.86/1.14 (assume @p107 (forall (@list @t31 @t219 @t172) (=> @t307 (= @t172 @t303)))) % 0.86/1.14 (assume @p108 (forall (@list @t308 @t309 @t69 @t264 @t260 @t31) (=> (or (and @t282 (= @t309 @t308)) (and @t283 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t309) @t308)) @t281)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 (tptp.hAPP @t297 @t309)) (tptp.hAPP @t296 @t308))) @t281))))) % 0.86/1.14 (assume @p109 (forall (@list @t260 @t41 @t293 @t264 @t31) (= (= @t314 @t269) (or (and @t304 (= @t293 @t269)) (exists @t313 (and (= @t264 @t312) (= @t311 @t260))))))) % 0.86/1.14 (assume @p110 (forall (@list @t293 @t264 @t260 @t41 @t31) (= (= @t269 @t314) (or (and @t304 (= @t269 @t293)) (exists @t313 (and (= @t312 @t264) (= @t260 @t311))))))) % 0.86/1.14 (assume @p111 (forall (@list @t40 @t264 @t41 @t260 @t31) (= (= @t316 @t315) (and @t283 @t48)))) % 0.86/1.14 (assume @p112 (forall (@list @t264 @t308 @t309 @t260 @t69 @t40 @t41 @t31) (=> @t276 (=> (= @t260 (tptp.hAPP @t317 (tptp.hAPP @t268 @t308))) (=> (= @t264 (tptp.hAPP @t317 (tptp.hAPP @t266 @t308))) @t282))))) % 0.86/1.14 (assume @p113 (forall (@list @t69 @t40 @t264 @t41 @t260 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t316) @t315)) @t281)) (or (and @t282 @t48) (and @t283 @t276))))) % 0.86/1.14 (assume @p114 (forall (@list @t41 @t69 @t318 @t278 @t31) (=> @t321 @t320))) % 0.86/1.14 (assume @p115 (forall @t323 (=> @t282 (tptp.hBOOL (tptp.hAPP @t322 @t281))))) % 0.86/1.14 (assume @p116 (forall @t263 (not (tptp.hBOOL (tptp.hAPP @t286 @t281))))) % 0.86/1.14 (assume @p117 (forall @t263 (not (tptp.hBOOL (tptp.hAPP @t262 @t281))))) % 0.86/1.14 (assume @p118 (forall @t76 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 @t324) @t265)))) % 0.86/1.14 (assume @p119 (forall (@list @t260 @t69 @t40 @t41 @t31) (=> @t276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t270 (tptp.hAPP @t266 @t260))) @t281))))) % 0.86/1.14 (assume @p120 (forall (@list @t325 @t41 @t69 @t31) (= (tptp.c_List_Olistrelp @t31 @t329 @t41 @t325) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t236 @t325)) @t265))))) % 0.86/1.14 (assume @p121 (forall (@list @t69 @t260 @t264 @t40 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t267) @t260)) @t265)) (not (forall (@list @t332 @t330) (=> (= @t260 (tptp.hAPP @t334 @t330)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t333 @t332)) @t69)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t331 @t330)) @t265)))))))))) % 0.86/1.14 (assume @p122 (forall @t339 (=> (tptp.hBOOL (tptp.hAPP @t338 @t265)) (not (forall (@list @t3 @t335) (=> (= @t260 (tptp.hAPP @t337 @t335)) (=> @t336 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t335) @t264)) @t265)))))))))) % 0.86/1.14 (assume @p123 (forall @t343 (=> @t282 (not (forall @t342 (=> @t341 (forall (@list @t300 @t340) (=> (= @t260 (tptp.hAPP @t301 (tptp.hAPP @t337 @t340))) (not (= @t264 (tptp.hAPP @t301 (tptp.hAPP @t334 @t340)))))))))))) % 0.86/1.14 (assume @p124 (forall (@list @t69 @t318 @t278 @t41 @t31) (=> @t320 (=> (forall @t344 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t257 @t91)) @t69)))) @t321)))) % 0.86/1.14 (assume @p125 (forall (@list @t69 @t41 @t31 @t40) (=> (exists (@list @t90 @t345) (= @t40 (tptp.hAPP (tptp.hAPP @t156 @t90) @t345))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t236 (tptp.hAPP @t319 @t40))) @t233))))) % 0.86/1.14 (assume @p126 (forall @t284 (= (tptp.hBOOL (tptp.hAPP @t271 @t259)) (or (and @t276 @t348) (and @t48 (tptp.hBOOL (tptp.hAPP @t272 @t259))))))) % 0.86/1.14 (assume @p127 (forall @t351 (= @t350 (tptp.c_List_Olist_Olist__case @t234 @t31 @t153 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t234 @t349 @t31) (tptp.hAPP (tptp.c_COMBC @t234 @t234 @t234) @t279)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t31 @t234 @t234) @t156) @t153)) @t260)))) % 0.86/1.14 (assume @p128 (forall @t223 (= (tptp.c_Nat_Osize__class_Osize @t234 (tptp.c_List_Orotate1 @t31 @t172)) @t352))) % 0.86/1.14 (assume @p129 (forall (@list @t219 @t172 @t31) (=> (not (= @t352 @t353)) (not @t307)))) % 0.86/1.14 (assume @p130 (forall @t351 (= (= @t350 @t153) @t285))) % 0.86/1.14 (assume @p131 (forall @t351 (= (tptp.c_List_Odistinct @t31 @t350) @t354))) % 0.86/1.14 (assume @p132 (forall (@list @t264 @t260 @t31 @t40 @t41 @t69) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t41) @t40)) (=> (tptp.c_List_Olistrelp @t31 @t69 @t260 @t264) (tptp.c_List_Olistrelp @t31 @t69 @t269 @t267))))) % 0.86/1.14 (assume @p133 (forall (@list @t355 @t357 @t356 @t358 @t69 @t31) (= (tptp.c_List_Olistrelp @t31 @t69 (tptp.hAPP @t359 @t356) (tptp.hAPP (tptp.hAPP @t156 @t357) @t355)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t358) @t357)) (tptp.c_List_Olistrelp @t31 @t69 @t356 @t355))))) % 0.86/1.14 (assume @p134 (forall @t76 (tptp.c_List_Olistrelp @t31 @t69 @t153 @t153))) % 0.86/1.14 (assume @p135 (forall @t343 (=> @t282 @t348))) % 0.86/1.14 (assume @p136 (forall @t343 (=> @t273 @t348))) % 0.86/1.14 (assume @p137 (forall @t361 (= (tptp.hBOOL (tptp.hAPP @t239 @t259)) (and @t240 @t360)))) % 0.86/1.14 (assume @p138 (forall (@list @t172 @t173 @t54 @t31) (and (= (tptp.c_List_Orotate1 @t31 @t153) @t153) (= (tptp.c_List_Orotate1 @t54 (tptp.hAPP @t362 @t172)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t54) @t172) (tptp.hAPP @t362 @t229)))))) % 0.86/1.14 (assume @p139 (forall (@list @t363 @t69 @t264 @t260 @t31) (=> (tptp.hBOOL (tptp.hAPP @t272 (tptp.c_List_Olexn @t31 @t69 @t363))) (and (= @t347 @t363) (= @t346 @t363))))) % 0.86/1.14 (assume @p140 (forall (@list @t260 @t41 @t2 @t31 @t54) (= (tptp.c_List_Omaps @t54 @t31 @t2 (tptp.hAPP (tptp.hAPP @t231 @t41) @t260)) (tptp.hAPP (tptp.hAPP @t279 @t188) (tptp.c_List_Omaps @t54 @t31 @t2 @t260))))) % 0.86/1.14 (assume @p141 (forall @t364 (= (tptp.c_List_Opartition @t31 @t61 @t153) @t324))) % 0.86/1.14 (assume @p142 (forall (@list @t45 @t69 @t40 @t41 @t31) (=> @t240 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t256 @t45)) @t233)) (=> @t365 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t236 @t45)) @t233))))))) % 0.86/1.14 (assume @p143 (forall @t343 (=> @t273 @t367))) % 0.86/1.14 (assume @p144 (forall @t343 (=> @t282 @t370))) % 0.86/1.14 (assume @p145 (forall (@list @t69 @t264 @t260 @t41 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t270 @t264)) @t281)) (=> (forall @t373 (=> (= @t264 (tptp.hAPP @t334 @t260)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t274 @t332)) @t69))))) (not (forall @t372 (=> (= @t264 (tptp.hAPP @t268 @t371)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t261 @t371)) @t281)))))))))) % 0.86/1.14 (assume @p146 (forall (@list @t374 @t54 @t375 @t31) (=> (tptp.c_Relation_Otrans @t31 @t375) (=> (tptp.c_Relation_Otrans @t54 @t374) (tptp.c_Relation_Otrans @t58 (tptp.c_Wellfounded_Olex__prod @t31 @t54 @t375 @t374)))))) % 0.86/1.14 (assume @p147 (forall @t263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t261 @t260)) @t369)))) % 0.86/1.14 (assume @p148 (forall @t76 (=> @t365 (tptp.c_Relation_Otrans @t234 @t265)))) % 0.86/1.14 (assume @p149 (forall @t76 (=> @t365 (tptp.c_Relation_Otrans @t234 @t233)))) % 0.86/1.14 (assume @p150 (forall @t76 (= @t369 @t366))) % 0.86/1.14 (assume @p151 (forall @t277 (=> @t376 (=> @t367 (tptp.hBOOL (tptp.hAPP @t271 @t366)))))) % 0.86/1.14 (assume @p152 (forall (@list @t2 @t31 @t54) (= (tptp.c_List_Omaps @t54 @t31 @t2 @t229) @t153))) % 0.86/1.14 (assume @p153 (forall (@list @t293 @t69 @t264 @t260 @t31) (=> @t370 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t331 @t293)) @t369)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP @t261 @t293)) @t369)))))) % 0.86/1.14 (assume @p154 (forall @t323 (=> @t367 (tptp.hBOOL (tptp.hAPP @t322 @t366))))) % 0.86/1.14 (assume @p155 (forall @t361 (=> (tptp.hBOOL (tptp.hAPP @t239 @t366)) @t360))) % 0.86/1.14 (assume @p156 (forall @t377 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t160 @t95)) @t368)))) % 0.86/1.14 (assume @p157 (forall (@list @t69 @t378 @t31) (=> (tptp.hBOOL (tptp.hAPP @t379 @t69)) (tptp.hBOOL (tptp.hAPP @t379 @t368))))) % 0.86/1.14 (assume @p158 (forall (@list @t30 @t98 @t95 @t69 @t31) (=> @t365 (=> @t242 (=> @t383 (tptp.hBOOL (tptp.hAPP @t380 @t69))))))) % 0.86/1.14 (assume @p159 (forall @t76 (= @t365 @t386))) % 0.86/1.14 (assume @p160 (forall @t390 (=> @t389 @t388))) % 0.86/1.14 (assume @p161 (forall @t390 (=> @t389 (=> @t383 @t387)))) % 0.86/1.14 (assume @p162 (forall @t76 (= (tptp.c_Transitive__Closure_Ortrancl @t31 @t368) @t368))) % 0.86/1.14 (assume @p163 (forall @t76 (tptp.c_Relation_Otrans @t31 @t368))) % 0.86/1.14 (assume @p164 (forall @t390 (=> @t242 @t388))) % 0.86/1.14 (assume @p165 (forall @t76 (= (tptp.c_Relation_Oirrefl @t31 @t69) @t258))) % 0.86/1.14 (assume @p166 (forall (@list @t98 @t69 @t95 @t31) (=> @t394 (=> @t393 @t392)))) % 0.86/1.14 (assume @p167 (forall (@list @t69 @t95 @t98 @t31) (=> @t393 (=> @t394 @t392)))) % 0.86/1.14 (assume @p168 (forall (@list @t45 @t40 @t41 @t69 @t31) (=> (tptp.c_Relation_Osingle__valued @t31 @t31 @t69) (=> @t376 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t274 @t45)) @t368)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t333 @t45)) @t368)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 @t45) @t40)) @t368)))))))) % 0.86/1.14 (assume @p169 (forall (@list @t40 @t53 @t41 @t31) (=> (not (tptp.hBOOL (tptp.hAPP @t102 (tptp.c_Relation_ODomain @t31 @t31 @t53)))) (= (tptp.hBOOL (tptp.hAPP @t275 @t395)) @t48)))) % 0.86/1.14 (assume @p170 (forall @t400 (=> @t399 (tptp.hBOOL (tptp.hAPP @t397 @t396))))) % 0.86/1.14 (assume @p171 (forall @t400 (=> @t399 @t402))) % 0.86/1.14 (assume @p172 (forall (@list @t260 @t69 @t41 @t31) (=> @t408 (=> @t407 (tptp.hBOOL (tptp.hAPP @t405 @t403)))))) % 0.86/1.14 (assume @p173 (forall (@list @t45 @t40 @t41 @t69 @t54 @t31) (=> @t409 (=> (tptp.hBOOL (tptp.hAPP @t60 @t69)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP @t56 @t45)) @t69)) @t50))))) % 0.86/1.14 (assume @p174 (forall @t412 (= @t409 @t411))) % 0.86/1.14 (assume @p175 (forall @t414 (= @t402 (exists @t373 @t413)))) % 0.86/1.14 (assume @p176 (forall @t414 (= (tptp.hBOOL (tptp.hAPP @t96 @t418)) (exists @t373 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t417 (tptp.hAPP (tptp.hAPP @t415 @t332) @t95)) @t69)))))) % 0.86/1.14 (assume @p177 (forall (@list @t95 @t69 @t98 @t31) (=> @t392 (=> @t242 @t394)))) % 0.86/1.14 (assume @p178 (forall @t377 (= @t394 (forall @t6 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t95)) @t69)) (tptp.hBOOL (tptp.hAPP @t226 @t391))))))) % 0.86/1.14 (assume @p179 (forall @t421 (= (tptp.c_Predicate_ORangeP @t31 @t54 @t420 @t41) (tptp.hBOOL (tptp.hAPP @t419 @t396))))) % 0.86/1.14 (assume @p180 (forall @t421 (= (tptp.c_Predicate_ODomainP @t31 @t54 @t420 @t41) (tptp.hBOOL (tptp.hAPP @t102 @t401))))) % 0.86/1.14 (assume @p181 (forall (@list @t69 @t54 @t98 @t31) (=> (tptp.hBOOL (tptp.hAPP @t99 @t418)) (not (forall @t6 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t417 (tptp.hAPP (tptp.hAPP @t415 @t3) @t98)) @t69)))))))) % 0.86/1.14 (assume @p182 (forall @t414 (=> @t402 (not (forall @t373 (not @t413)))))) % 0.86/1.14 (assume @p183 (forall (@list @t41 @t69 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t31 @t329) @t41)) @t408))) % 0.86/1.14 (assume @p184 (forall @t423 (=> @t422 (tptp.c_Predicate_ORangeP @t31 @t54 @t69 @t98)))) % 0.86/1.14 (assume @p185 (forall @t423 (=> @t422 (tptp.c_Predicate_ODomainP @t31 @t54 @t69 @t95)))) % 0.86/1.14 (assume @p186 (forall (@list @t357 @t69 @t54 @t31) (= (tptp.c_Predicate_ORangeP @t31 @t54 @t69 @t357) (exists @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t91) @t357)))))) % 0.86/1.14 (assume @p187 (forall (@list @t95 @t69 @t31) (= @t425 (forall @t6 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t3) @t95)) (tptp.hBOOL (tptp.hAPP @t424 @t3))))))) % 0.86/1.14 (assume @p188 (forall (@list @t95 @t98 @t69 @t31) (=> (tptp.hBOOL (tptp.hAPP @t424 @t98)) (=> @t422 @t425)))) % 0.86/1.14 (assume @p189 (forall @t263 (=> @t426 @t407))) % 0.86/1.14 (assume @p190 (forall @t263 (=> @t407 @t426))) % 0.86/1.14 (assume @p191 (forall @t249 (=> (forall @t373 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t384 @t41)) @t69)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t332) @t391)))) @t408))) % 0.86/1.14 (assume @p192 (forall (@list @t53 @t41 @t31) (=> (not (tptp.hBOOL (tptp.hAPP @t102 @t427))) (not (forall @t385 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 @t345) @t41)) @t53)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t345) @t427)))))))) % 0.86/1.14 (assume @p193 (forall (@list @t35 @t40 @t41 @t31) (= (tptp.hBOOL (tptp.hAPP @t275 @t428)) (and @t48 @t103)))) % 0.86/1.14 (assume @p194 (forall @t202 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t153) @t429)))) % 0.86/1.14 (assume @p195 (forall @t202 (= (tptp.c_Relation_ODomain @t31 @t31 @t428) @t35))) % 0.86/1.14 (assume @p196 (forall @t202 (tptp.c_Relation_Otrans @t31 @t428))) % 0.86/1.14 (assume @p197 (forall @t202 (= (tptp.c_Relation_ORange @t31 @t31 @t428) @t35))) % 0.86/1.14 (assume @p198 (forall @t202 (tptp.c_Relation_Osingle__valued @t31 @t31 @t428))) % 0.86/1.14 (assume @p199 (forall (@list @t35 @t264 @t260 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t298) @t429)) (and @t430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t264) @t429)))))) % 0.86/1.14 (assume @p200 (forall (@list @t35 @t260 @t41 @t31) (= (tptp.hBOOL (tptp.hAPP @t405 @t429)) (and @t103 @t430)))) % 0.86/1.14 (assume @p201 (forall @t101 (=> @t100 (=> @t97 (tptp.hBOOL (tptp.hAPP @t241 @t428)))))) % 0.86/1.14 (assume @p202 (forall (@list @t35 @t95 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t95) @t429)) (or @t434 (exists @t433 (and @t432 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t91) @t35)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t431) @t429)))))))) % 0.86/1.14 (assume @p203 (forall (@list @t35 @t30 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t30) @t428)) (not (forall @t6 (=> @t227 (not (= @t30 @t72)))))))) % 0.86/1.14 (assume @p204 (forall (@list @t41 @t35 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t31 @t435) @t41)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t41) @t429))))) % 0.86/1.14 (assume @p205 (forall @t453 (=> @t452 (=> @t450 (=> (forall @t93 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t449 @t92)) @t446)) (forall (@list @t440 @t439) (=> @t445 (=> @t442 @t441))))) @t438))))) % 0.86/1.14 (assume @p206 (forall @t453 (=> @t452 (=> @t438 (=> (forall (@list @t91 @t90 @t440 @t439) (=> @t445 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t63 @t443) @t451)) @t446)) (=> @t441 @t442)))) @t450))))) % 0.86/1.14 (assume @p207 (forall @t202 (tptp.hBOOL (tptp.hAPP @t454 @t153)))) % 0.86/1.14 (assume @p208 (forall @t458 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t31 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t31 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP @t457 @t35)) @t29)) @t41)) (and (tptp.hBOOL (tptp.hAPP @t454 @t41)) (tptp.hBOOL (tptp.hAPP @t455 @t41)))))) % 0.86/1.14 (assume @p209 (forall (@list @t357 @t358 @t35 @t31) (= (tptp.hBOOL (tptp.hAPP @t454 (tptp.hAPP @t359 @t357))) (and (tptp.hBOOL (tptp.hAPP @t35 @t358)) (tptp.hBOOL (tptp.hAPP @t454 @t357)))))) % 0.86/1.14 (assume @p210 (forall (@list @t264 @t260 @t35 @t31) (= (tptp.hBOOL (tptp.hAPP @t454 @t298)) (and (tptp.hBOOL (tptp.hAPP @t454 @t260)) (tptp.hBOOL (tptp.hAPP @t454 @t264)))))) % 0.86/1.14 (assume @p211 (forall (@list @t69 @t459 @t460 @t462 @t325 @t54 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t464 @t461)) @t446)) (=> (not (= @t463 @t461)) (not (forall @t93 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t464 @t92)) @t69)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t444 @t461)) @t446)))))))))) % 0.86/1.14 (assume @p212 (forall (@list @t29 @t35 @t465 @t31) (=> (tptp.hBOOL (tptp.hAPP @t469 @t429)) (=> (tptp.hBOOL (tptp.hAPP @t469 @t468)) (tptp.hBOOL (tptp.hAPP @t467 @t465)))))) % 0.86/1.14 (assume @p213 (forall @t339 (=> (tptp.hBOOL (tptp.hAPP @t338 @t281)) (=> (forall @t6 (=> (= @t260 (tptp.hAPP @t337 @t264)) (not @t336))) (not (forall @t372 (=> (= @t260 (tptp.hAPP @t266 @t371)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t238 (tptp.hAPP (tptp.hAPP @t235 @t371) @t264)) @t281)))))))))) % 0.86/1.14 (assume @p214 (forall (@list @t260 @t41 @t61 @t31) (= (tptp.c_List_Opartition @t31 @t61 @t269) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t234 @t234 @t237) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t234 @t470 @t470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t472 (tptp.tc_fun @t470 @t470) @t234) (tptp.c_COMBS @t234 @t237 @t237)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t470 @t472 @t234) (tptp.hAPP (tptp.c_COMBB @t237 @t471 @t234) (tptp.c_If @t237 @t67))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t234 @t470 @t234) @t235) @t268)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t234 @t349 @t470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t470 (tptp.tc_fun @t349 @t470) @t234) (tptp.c_COMBB @t234 @t237 @t234)) @t235)) @t268))) (tptp.c_List_Opartition @t31 @t61 @t260))))) % 0.86/1.14 (assume @p215 (forall @t412 (=> @t411 @t409))) % 0.86/1.14 (assume @p216 (forall @t458 (=> @t476 (not (=> @t106 (not @t473)))))) % 0.86/1.14 (assume @p217 (forall (@list @t31 @t29 @t41 @t35) (=> @t106 (=> @t473 @t476)))) % 0.86/1.14 (assume @p218 (forall @t478 (=> @t477 (not @t37)))) % 0.86/1.14 (assume @p219 (forall @t478 (=> @t36 (=> @t34 @t477)))) % 0.86/1.14 (assume @p220 (forall @t482 (= @t481 (tptp.hAPP (tptp.hAPP @t480 @t454) @t455)))) % 0.86/1.14 (assume @p221 (forall @t478 (= @t477 (and @t36 @t34)))) % 0.86/1.14 (assume @p222 (forall @t478 (=> @t477 @t36))) % 0.86/1.14 (assume @p223 (forall @t478 (=> @t477 @t34))) % 0.86/1.14 (assume @p224 (forall (@list @t378 @t1 @t485 @t487 @t2 @t31 @t147 @t54) (= (tptp.hAPP @t484 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t487 @t485 @t486) @t1) @t378)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t487 @t485 @t31) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t485 @t486) (tptp.tc_fun @t485 @t31) @t487) (tptp.hAPP (tptp.c_COMBB @t486 @t31 @t485) @t484)) @t1)) @t378)))) % 0.86/1.14 (assume @p225 (forall @t458 (=> @t476 @t473))) % 0.86/1.14 (assume @p226 (forall @t458 (=> @t476 @t106))) % 0.86/1.14 (assume @p227 (forall (@list @t30 @t147 @t54 @t31 @t488 @t378) (=> (= @t378 @t488) (= (tptp.hAPP @t490 @t378) (tptp.hAPP @t490 @t488))))) % 0.86/1.14 (assume @p228 (forall @t494 (= (tptp.hAPP (tptp.hAPP @t466 @t475) @t491) @t493))) % 0.86/1.14 (assume @p229 (forall @t494 (= @t493 (tptp.hAPP @t492 (tptp.hAPP @t474 @t491))))) % 0.86/1.14 (assume @p230 (forall @t482 (= (tptp.hAPP @t474 @t475) @t475))) % 0.86/1.14 (assume @p231 (forall @t482 (= @t475 (tptp.hAPP @t492 @t35)))) % 0.86/1.14 (assume @p232 (forall @t202 (= (tptp.hAPP @t474 @t35) @t35))) % 0.86/1.14 (assume @p233 (forall @t150 (= (tptp.hAPP (tptp.hAPP @t483 @t145) @t149) @t146))) % 0.86/1.14 (assume @p234 (forall @t253 (= (tptp.hAPP @t484 @t149) @t496))) % 0.86/1.14 (assume @p235 (forall @t497 (=> @t365 (=> (tptp.c_Relation_Otrans @t31 @t159) (tptp.c_Relation_Otrans @t31 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t326) @t69) @t159)))))) % 0.86/1.14 (assume @p236 (forall (@list @t29 @t465 @t35 @t31) (=> (tptp.hBOOL (tptp.hAPP @t454 @t465)) (=> (tptp.hBOOL (tptp.hAPP @t455 @t465)) (tptp.hBOOL (tptp.hAPP @t481 @t465)))))) % 0.86/1.14 (assume @p237 (forall (@list @t41 @t134 @t53 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t466 @t181) @t180) @t41)) (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP (tptp.hAPP @t466 @t53) @t134)))))) % 0.86/1.14 (assume @p238 (forall @t499 (= (tptp.hAPP @t489 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t139 @t498 @t31) (tptp.hAPP (tptp.c_COMBB @t58 @t147 @t54) @t2)) @t55)) @t2))) % 0.86/1.14 (assume @p239 (forall @t499 (= (tptp.hAPP @t489 (tptp.c_Product__Type_Ocurry @t31 @t54 @t147 @t2)) @t2))) % 0.86/1.14 (assume @p240 (forall @t499 (= (tptp.c_Product__Type_Ocurry @t31 @t54 @t147 @t500) @t2))) % 0.86/1.14 (assume @p241 (forall @t482 (= @t467 (tptp.hAPP (tptp.hAPP @t480 (tptp.hAPP @t501 @t429)) (tptp.hAPP @t501 @t468))))) % 0.86/1.14 (assume @p242 (forall (@list @t147 @t54 @t31) (= (tptp.c_Product__Type_Ointernal__split @t31 @t54 @t147) @t489))) % 0.86/1.14 (assume @p243 (forall (@list @t41 @t1 @t2 @t54 @t31) (=> @t504 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun @t54 @t31)) @t2) @t1) @t41) (tptp.hAPP (tptp.hAPP @t503 @t188) @t502))))) % 0.86/1.14 (assume @p244 (forall (@list @t2 @t147 @t35 @t98 @t95 @t54 @t31) (=> (tptp.hBOOL (tptp.hAPP @t398 @t35)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t505 @t496) (tptp.c_Set_Oimage @t58 @t147 @t500 @t35)))))) % 0.86/1.14 (assume @p245 (forall (@list @t95 @t35 @t31) (= (tptp.hBOOL (tptp.hAPP @t454 @t95)) (or @t434 (exists @t433 (and @t432 (tptp.hBOOL (tptp.hAPP @t35 @t91)) (tptp.hBOOL (tptp.hAPP @t454 @t431)))))))) % 0.86/1.14 (assume @p246 (forall (@list @t54 @t31 @t98 @t95 @t2) (=> @t508 @t507))) % 0.86/1.14 (assume @p247 (forall (@list @t54 @t31 @t98 @t95 @t145) (=> (tptp.hBOOL @t146) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t145) @t116))))) % 0.86/1.14 (assume @p248 (forall (@list @t147 @t54 @t98 @t95 @t30 @t45 @t31) (=> (tptp.hBOOL (tptp.hAPP @t510 @t232)) (tptp.hBOOL (tptp.hAPP @t510 (tptp.hAPP @t509 @t149)))))) % 0.86/1.14 (assume @p249 (forall (@list @t31 @t35 @t54 @t41 @t2 @t98) (=> @t512 (=> (tptp.hBOOL (tptp.hAPP @t419 @t35)) (tptp.hBOOL (tptp.hAPP @t99 @t511)))))) % 0.86/1.14 (assume @p250 (forall (@list @t30 @t98 @t95 @t53 @t147 @t54 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t514 @t53) @t116) @t30)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t53 @t95) @t98) @t30))))) % 0.86/1.14 (assume @p251 (forall @t250 (=> @t507 @t508))) % 0.86/1.14 (assume @p252 (forall (@list @t35 @t1 @t147 @t2 @t31 @t54) (= (tptp.c_Set_Oimage @t54 @t31 @t2 (tptp.c_Set_Oimage @t147 @t54 @t1 @t35)) (tptp.c_Set_Oimage @t147 @t31 (tptp.hAPP (tptp.hAPP @t515 @t2) @t1) @t35)))) % 0.86/1.14 (assume @p253 (forall (@list @t35 @t2 @t54 @t45 @t31) (= (tptp.hBOOL (tptp.hAPP @t510 @t511)) (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t189 @t3) @t35)) (= @t45 @t5)))))) % 0.86/1.14 (assume @p254 (forall (@list @t2 @t54 @t35 @t41 @t31) (=> @t103 (tptp.hBOOL (tptp.hAPP @t190 @t516))))) % 0.86/1.14 (assume @p255 (forall (@list @t54 @t2 @t98 @t35 @t41 @t31) (=> @t103 (=> @t512 (tptp.hBOOL (tptp.hAPP @t397 @t516)))))) % 0.86/1.14 (assume @p256 (forall @t202 (= @t428 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t31 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t31 tptp.tc_HOL_Obool @t178) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t517 (tptp.tc_fun tptp.tc_HOL_Obool @t178) @t31) (tptp.c_COMBC @t31 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t178 @t517 @t31) @t457) tptp.c_fequal))) @t35))))) % 0.86/1.14 (assume @p257 (forall (@list @t40 @t41 @t134 @t53 @t54 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t520 @t143) @t142) @t41) @t40)) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t518 @t53) @t134)))))) % 0.86/1.14 (assume @p258 (forall @t529 (=> @t528 @t527))) % 0.86/1.14 (assume @p259 (forall @t529 (=> @t504 @t527))) % 0.86/1.14 (assume @p260 (forall @t535 (=> @t528 (= (tptp.hAPP (tptp.hAPP @t503 @t534) @t530) @t533)))) % 0.86/1.14 (assume @p261 (forall @t529 (=> @t528 @t536))) % 0.86/1.14 (assume @p262 (forall @t529 (=> @t504 @t536))) % 0.86/1.14 (assume @p263 (forall @t537 (=> @t528 (= (tptp.hAPP @t531 (tptp.hAPP @t532 @t530)) @t533)))) % 0.86/1.14 (assume @p264 (forall @t539 (=> @t528 @t538))) % 0.86/1.14 (assume @p265 (forall @t539 (=> @t504 @t538))) % 0.86/1.14 (assume @p266 (forall @t540 (=> @t528 (= (tptp.hAPP @t532 @t534) @t534)))) % 0.86/1.14 (assume @p267 (forall @t539 (=> @t528 @t541))) % 0.86/1.14 (assume @p268 (forall @t539 (=> @t504 @t541))) % 0.86/1.14 (assume @p269 (forall @t540 (=> @t528 (= @t534 (tptp.hAPP @t531 @t110))))) % 0.86/1.14 (assume @p270 (forall @t246 (=> @t528 (= (tptp.hAPP @t524 @t173) @t173)))) % 0.86/1.14 (assume @p271 (forall (@list @t110 @t31) (=> @t528 (= (tptp.hAPP @t532 @t110) @t110)))) % 0.86/1.14 (assume @p272 (forall (@list @t542 @t31) (= (tptp.c_Set_Oimage @t31 @t31 @t201 @t542) @t542))) % 0.86/1.14 (assume @p273 (forall @t252 (= (tptp.c_List_Olast @t31 @t543) @t173))) % 0.86/1.14 (assume @p274 (forall (@list @t29 @t54 @t1 @t2 @t35 @t31) (=> (forall (@list @t544) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t544) @t35)) (= (tptp.hAPP @t2 @t544) (tptp.hAPP @t1 @t544)))) (= @t196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 @t1) @t192)))))) % 0.86/1.14 (assume @p275 (forall @t548 (=> @t547 (not (=> @t546 (not @t545)))))) % 0.86/1.14 (assume @p276 (forall (@list @t54 @t31 @t29 @t40 @t41 @t35) (=> @t546 (=> @t545 @t547)))) % 0.86/1.14 (assume @p277 (forall @t548 (=> @t547 @t545))) % 0.86/1.14 (assume @p278 (forall @t548 (=> @t547 @t546))) % 0.86/1.14 (assume @p279 (forall @t176 (and @t554 @t553))) % 0.86/1.14 (assume @p280 (forall @t176 @t553)) % 0.86/1.14 (assume @p281 (forall @t176 @t554)) % 0.86/1.14 (assume @p282 (forall @t560 (and @t559 @t558))) % 0.86/1.14 (assume @p283 (forall @t560 @t558)) % 0.86/1.14 (assume @p284 (forall @t560 @t559)) % 0.86/1.14 (assume @p285 (forall (@list @t264 @t41 @t260 @t31) (= (= @t316 @t264) (and (not @t304) (= (tptp.c_List_Obutlast @t31 @t264) @t260) (= (tptp.c_List_Olast @t31 @t264) @t41))))) % 0.86/1.14 (assume @p286 (forall @t562 (=> @t552 (= (tptp.hAPP (tptp.hAPP @t279 @t561) (tptp.hAPP (tptp.hAPP @t156 @t549) @t153)) @t172)))) % 0.86/1.14 (assume @p287 (forall (@list @t378 @t30 @t147 @t54 @t45 @t31) (=> (tptp.hBOOL (tptp.hAPP @t510 (tptp.hAPP @t509 @t378))) (not (forall @t342 (=> (= @t378 (tptp.hAPP (tptp.hAPP @t148 @t3) @t332)) (not (tptp.hBOOL (tptp.hAPP @t510 (tptp.hAPP (tptp.hAPP @t30 @t3) @t332)))))))))) % 0.86/1.14 (assume @p288 (forall @t154 (= (tptp.c_List_Obutlast @t31 @t153) @t153))) % 0.86/1.14 (assume @p289 (forall @t176 (and (=> @t551 (= @t563 @t153)) (=> @t552 (= @t563 (tptp.hAPP @t174 @t561)))))) % 0.86/1.14 (assume @p290 (forall @t560 (and (=> @t556 (= @t564 @t561)) (=> @t557 (= @t564 (tptp.hAPP @t289 (tptp.c_List_Obutlast @t31 @t219))))))) % 0.86/1.14 (assume @p291 (forall @t562 (=> @t552 (=> @t251 (tptp.c_List_Odistinct @t31 @t561))))) % 0.86/1.14 (assume @p292 (forall @t252 (= (tptp.c_List_Obutlast @t31 @t543) @t172))) % 0.86/1.14 (assume @p293 (forall (@list @t31 @t260) (=> (not @t285) (=> @t354 (= (tptp.c_List_OtakeWhile @t31 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t31) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t31 @t31 tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olast @t31 @t260))) @t260) (tptp.c_List_Obutlast @t31 @t260)))))) % 0.86/1.14 (assume @p294 (forall (@list @t30 @t45 @t147 @t54 @t31 @t378) (=> (forall @t93 (=> (= @t378 @t92) (tptp.hBOOL (tptp.hAPP @t565 (tptp.hAPP (tptp.hAPP @t30 @t91) @t90))))) (tptp.hBOOL (tptp.hAPP @t565 (tptp.hAPP (tptp.hAPP @t514 @t30) @t378)))))) % 0.86/1.14 (assume @p295 (forall @t168 (not (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_List_Omeasures @t31 (tptp.c_List_Olist_ONil @t566))))))) % 0.86/1.14 (assume @p296 (forall @t364 (= (tptp.c_List_OtakeWhile @t31 @t61 @t153) @t153))) % 0.86/1.14 (assume @p297 (forall @t568 (=> @t354 (tptp.c_List_Odistinct @t31 @t567)))) % 0.86/1.14 (assume @p298 (forall @t571 (and (=> @t68 (= @t569 (tptp.hAPP @t268 @t567))) (=> @t570 (= @t569 @t153))))) % 0.86/1.14 (assume @p299 (forall (@list @t465 @t260 @t31 @t41 @t61) (=> @t570 (= (tptp.c_List_OtakeWhile @t31 @t61 (tptp.hAPP @t297 (tptp.hAPP @t268 @t465))) @t567)))) % 0.86/1.14 (assume @p300 (forall (@list @t264 @t40 @t260 @t61 @t31) (= (= @t573 @t267) (and (= @t260 (tptp.hAPP @t572 @t267)) (not (tptp.hBOOL (tptp.hAPP @t61 @t40))))))) % 0.86/1.14 (assume @p301 (forall @t76 (=> @t386 @t365))) % 0.86/1.14 (assume @p302 (forall @t577 (and @t576 @t575))) % 0.86/1.14 (assume @p303 (forall @t364 (= (tptp.c_List_OdropWhile @t31 @t61 @t153) @t153))) % 0.86/1.14 (assume @p304 (forall @t571 (and (=> @t68 (= @t578 @t573)) (=> @t570 (= @t578 @t269))))) % 0.86/1.14 (assume @p305 (forall @t568 (=> @t354 (tptp.c_List_Odistinct @t31 @t573)))) % 0.86/1.14 (assume @p306 (forall @t577 @t576)) % 0.86/1.14 (assume @p307 (forall @t577 @t575)) % 0.86/1.14 (assume @p308 (forall @t579 (= (tptp.hAPP @t572 @t573) @t260))) % 0.86/1.14 (assume @p309 (forall (@list @t582 @t580 @t487 @t491 @t1 @t147 @t29 @t35 @t2 @t54 @t31) (=> @t198 (=> @t583 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t147 @t487)) @t580) (tptp.c_FuncSet_OPi @t147 @t487 @t491 (tptp.c_COMBK (tptp.tc_fun @t487 tptp.tc_HOL_Obool) @t147 @t582)))) (= (tptp.c_FuncSet_Ocompose @t31 @t147 @t487 @t35 @t580 @t581) (tptp.c_FuncSet_Ocompose @t31 @t54 @t487 @t35 (tptp.c_FuncSet_Ocompose @t54 @t147 @t487 @t29 @t580 @t1) @t2))))))) % 0.86/1.14 (assume @p310 (forall (@list @t491 @t1 @t147 @t29 @t35 @t2 @t54 @t31) (=> @t198 (=> @t583 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t31 @t147)) @t581) (tptp.c_FuncSet_OPi @t31 @t147 @t35 (tptp.c_COMBK @t513 @t31 @t491)))))))) % 0.86/1.14 (assume @p311 (forall @t76 (tptp.c_Orderings_Oord__class_Oless__eq @t584 @t265 @t366))) % 0.86/1.14 (assume @p312 (forall @t482 (=> @t586 (=> @t585 @t38)))) % 0.86/1.14 (assume @p313 (forall @t588 (=> @t586 @t587))) % 0.86/1.14 (assume @p314 (forall (@list @t491 @t1 @t147 @t29 @t35 @t2 @t31 @t54) (=> (= @t511 @t29) (=> (= (tptp.c_Set_Oimage @t31 @t147 @t1 @t29) @t491) (= (tptp.c_Set_Oimage @t54 @t147 (tptp.c_FuncSet_Ocompose @t54 @t31 @t147 @t35 @t1 @t2) @t35) @t491))))) % 0.86/1.14 (assume @p315 (forall @t590 (=> @t589 (=> (tptp.c_Relation_Osingle__valued @t31 @t54 @t159) @t409)))) % 0.86/1.14 (assume @p316 (forall @t482 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq @t479 @t454 @t455)))) % 0.86/1.14 (assume @p317 (forall @t497 (=> @t593 @t592))) % 0.86/1.14 (assume @p318 (forall @t182 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t53 @t134) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t134 @t395) (= (tptp.c_Transitive__Closure_Ortrancl @t31 @t134) @t395))))) % 0.86/1.14 (assume @p319 (forall @t497 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t69 @t591) @t592))) % 0.86/1.14 (assume @p320 (forall @t594 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t375 @t374) (tptp.c_Orderings_Oord__class_Oless__eq @t178 (tptp.c_Wellfounded_Oacc @t31 @t374) (tptp.c_Wellfounded_Oacc @t31 @t375))))) % 0.86/1.14 (assume @p321 (forall @t458 (=> @t586 (=> @t103 @t104)))) % 0.86/1.14 (assume @p322 (forall (@list @t29 @t35 @t41 @t31) (=> @t103 (=> @t586 @t104)))) % 0.86/1.14 (assume @p323 (forall (@list @t41 @t595 @t61 @t31) (=> @t598 (=> @t68 @t597)))) % 0.86/1.14 (assume @p324 (forall (@list @t595 @t31 @t41 @t61) (=> @t68 (=> @t598 @t597)))) % 0.86/1.14 (assume @p325 (forall @t599 (=> @t38 (not (=> @t586 (not @t585)))))) % 0.86/1.14 (assume @p326 (forall @t494 (=> @t586 (=> @t601 @t600)))) % 0.86/1.14 (assume @p327 (forall @t599 (=> @t38 @t585))) % 0.86/1.14 (assume @p328 (forall @t599 (=> @t38 @t586))) % 0.86/1.14 (assume @p329 (forall @t599 (= @t38 (and @t586 @t585)))) % 0.86/1.14 (assume @p330 (forall @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t35 @t35))) % 0.86/1.14 (assume @p331 (forall (@list @t29 @t54 @t35 @t602 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t602 @t35) (tptp.c_Orderings_Oord__class_Oless__eq @t603 @t192 (tptp.c_FuncSet_OPi @t31 @t54 @t602 @t29))))) % 0.86/1.14 (assume @p332 (forall @t497 (=> @t593 (tptp.c_Orderings_Oord__class_Oless__eq @t584 @t265 (tptp.c_List_Olistrel @t31 @t159))))) % 0.86/1.14 (assume @p333 (forall @t497 (=> @t593 (tptp.c_Orderings_Oord__class_Oless__eq @t584 @t281 (tptp.c_List_Olistrel1 @t31 @t159))))) % 0.86/1.14 (assume @p334 (forall @t590 (=> @t589 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t401 (tptp.c_Relation_ODomain @t31 @t54 @t159))))) % 0.86/1.14 (assume @p335 (forall @t482 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq @t479 @t429 @t468)))) % 0.86/1.14 (assume @p336 (forall (@list @t2 @t1 @t54 @t147 @t35 @t41 @t31) (=> @t103 (= (tptp.hAPP (tptp.c_FuncSet_Ocompose @t31 @t147 @t54 @t35 @t1 @t2) @t41) (tptp.hAPP @t1 @t188))))) % 0.86/1.14 (assume @p337 (forall @t182 (= (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t181 @t180) (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t53 @t134)))) % 0.86/1.14 (assume @p338 (forall (@list @t2 @t54 @t29 @t35 @t31) (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq @t140 @t516 (tptp.c_Set_Oimage @t31 @t54 @t2 @t29))))) % 0.86/1.14 (assume @p339 (forall (@list @t35 @t2 @t54 @t29 @t31) (= (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t29 @t511) (exists (@list @t604) (and (tptp.c_Orderings_Oord__class_Oless__eq @t140 @t604 @t35) (= @t29 (tptp.c_Set_Oimage @t54 @t31 @t2 @t604))))))) % 0.86/1.14 (assume @p340 (forall @t482 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t475 @t35))) % 0.86/1.14 (assume @p341 (forall @t482 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t475 @t29))) % 0.86/1.14 (assume @p342 (forall @t482 (=> @t586 (= @t475 @t35)))) % 0.86/1.14 (assume @p343 (forall (@list @t35 @t29 @t31) (=> @t585 (= @t475 @t29)))) % 0.86/1.14 (assume @p344 (forall (@list @t29 @t35 @t491 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t491 @t35) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t491 @t29) (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t491 @t475))))) % 0.86/1.14 (assume @p345 (forall (@list @t582 @t29 @t491 @t35 @t31) (=> @t600 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t29 @t582) (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t475 (tptp.hAPP (tptp.hAPP @t466 @t491) @t582)))))) % 0.86/1.14 (assume @p346 (forall @t608 (=> @t528 (=> @t607 (not (=> @t606 (not @t605))))))) % 0.86/1.14 (assume @p347 (forall (@list @t609 @t108 @t530 @t110 @t31) (=> @t528 (=> @t610 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t108 @t609) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t534 (tptp.hAPP (tptp.hAPP @t503 @t530) @t609))))))) % 0.86/1.14 (assume @p348 (forall @t529 (=> @t528 (=> @t612 (=> @t611 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t523)))))) % 0.86/1.14 (assume @p349 (forall @t608 (=> @t528 (=> @t606 (=> @t605 @t607))))) % 0.86/1.14 (assume @p350 (forall @t614 (=> @t528 (=> @t613 (= @t526 @t220))))) % 0.86/1.14 (assume @p351 (forall @t539 (=> @t528 (=> @t612 (= @t526 @t173))))) % 0.86/1.14 (assume @p352 (forall @t616 (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t108 @t173) @t615)))) % 0.86/1.14 (assume @p353 (forall @t617 (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t110 @t173) @t615)))) % 0.86/1.14 (assume @p354 (forall (@list @t45 @t40 @t41 @t31) (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t41 (tptp.hAPP (tptp.hAPP @t503 @t40) @t45)) (and @t618 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t41 @t45)))))) % 0.86/1.14 (assume @p355 (forall @t168 (=> @t528 (= @t618 (= (tptp.hAPP (tptp.hAPP @t503 @t41) @t40) @t41))))) % 0.86/1.14 (assume @p356 (forall @t539 (=> @t528 @t619))) % 0.86/1.14 (assume @p357 (forall @t539 (=> @t504 @t619))) % 0.86/1.14 (assume @p358 (forall @t539 (=> @t528 @t620))) % 0.86/1.14 (assume @p359 (forall @t539 (=> @t504 @t620))) % 0.86/1.14 (assume @p360 (forall @t622 (tptp.c_Orderings_Oord__class_Oless__eq @t178 (tptp.c_Set_Oimage @t54 @t31 @t2 (tptp.hAPP (tptp.hAPP @t621 @t35) @t29)) (tptp.hAPP (tptp.hAPP @t466 @t511) (tptp.c_Set_Oimage @t54 @t31 @t2 @t29))))) % 0.86/1.14 (assume @p361 (forall @t623 (tptp.c_Orderings_Oord__class_Oless__eq @t178 (tptp.c_Relation_ODomain @t31 @t54 (tptp.hAPP (tptp.hAPP @t518 @t35) @t29)) (tptp.hAPP (tptp.hAPP @t466 (tptp.c_Relation_ODomain @t31 @t54 @t35)) (tptp.c_Relation_ODomain @t31 @t54 @t29))))) % 0.86/1.14 (assume @p362 (forall @t623 (tptp.c_Orderings_Oord__class_Oless__eq @t178 (tptp.c_Relation_ORange @t54 @t31 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t624) @t35) @t29)) (tptp.hAPP (tptp.hAPP @t466 (tptp.c_Relation_ORange @t54 @t31 @t35)) (tptp.c_Relation_ORange @t54 @t31 @t29))))) % 0.86/1.14 (assume @p363 (forall @t622 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t140 @t516 @t29)))) % 0.86/1.14 (assume @p364 (forall @t76 (tptp.c_Orderings_Oord__class_Oless__eq @t584 (tptp.c_List_Olistrel1 @t31 @t368) @t366))) % 0.86/1.14 (assume @p365 (forall @t246 (=> @t625 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t173 @t173)))) % 0.86/1.14 (assume @p366 (forall @t628 (=> @t627 (= @t626 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t5 @t4)))))) % 0.86/1.14 (assume @p367 (forall (@list @t41 @t1 @t2 @t31 @t54) (=> @t627 (=> @t626 (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t188 @t502))))) % 0.86/1.14 (assume @p368 (forall @t594 (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t31 @t178) @t375 @t374) (tptp.c_Orderings_Oord__class_Oless__eq @t178 (tptp.c_Wellfounded_Oaccp @t31 @t374) (tptp.c_Wellfounded_Oaccp @t31 @t375))))) % 0.86/1.14 (assume @p369 (forall (@list @t173 @t219 @t172 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t352 @t353) (not (= @t172 @t629))))) % 0.86/1.14 (assume @p370 (forall @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t630 @t347))) % 0.86/1.14 (assume @p371 (forall @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize @t234 @t573) @t347))) % 0.86/1.14 (assume @p372 (forall @t539 (=> @t631 (=> (not @t612) @t613)))) % 0.86/1.14 (assume @p373 (forall @t634 (=> @t633 (=> @t613 (=> @t632 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t521 @t173)))))) % 0.86/1.14 (assume @p374 (forall @t614 (=> @t633 (=> @t613 (=> @t612 @t635))))) % 0.86/1.14 (assume @p375 (forall @t529 (=> @t625 (=> @t612 (=> @t636 @t611))))) % 0.86/1.14 (assume @p376 (forall @t539 (=> @t633 (=> @t612 (=> @t613 @t635))))) % 0.86/1.14 (assume @p377 (forall @t537 (=> @t633 (=> @t639 (=> @t638 @t637))))) % 0.86/1.14 (assume @p378 (forall @t535 (=> @t641 (=> @t640 (=> @t638 @t610))))) % 0.86/1.14 (assume @p379 (forall @t535 (=> @t633 (=> @t161 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t530 @t108) @t637))))) % 0.86/1.14 (assume @p380 (forall @t535 (=> @t641 (=> @t161 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t108 @t530) @t610))))) % 0.86/1.14 (assume @p381 (forall @t644 (=> @t633 (=> @t643 @t642)))) % 0.86/1.14 (assume @p382 (forall @t539 (=> @t625 (=> @t635 @t612)))) % 0.86/1.14 (assume @p383 (forall @t168 (=> @t633 (= @t48 (and @t618 @t643))))) % 0.86/1.14 (assume @p384 (forall @t539 (=> @t631 (or @t612 @t613)))) % 0.86/1.14 (assume @p385 (forall @t144 (= (tptp.c_Orderings_Oord__class_Oless__eq @t519 @t143 @t142) (tptp.c_Orderings_Oord__class_Oless__eq @t136 @t53 @t134)))) % 0.86/1.14 (assume @p386 (forall @t650 (=> @t649 (=> @t647 @t646)))) % 0.86/1.14 (assume @p387 (forall @t652 (=> @t649 (=> (tptp.hBOOL (tptp.hAPP @t275 @t53)) @t651)))) % 0.86/1.14 (assume @p388 (forall (@list @t491 @t29 @t54 @t35 @t31) (=> (forall @t6 (=> @t227 (tptp.c_Orderings_Oord__class_Oless__eq @t140 @t224 (tptp.hAPP @t491 @t3)))) (tptp.c_Orderings_Oord__class_Oless__eq @t603 @t192 (tptp.c_FuncSet_OPi @t31 @t54 @t35 @t491))))) % 0.86/1.14 (assume @p389 (forall (@list @t595 @t54 @t31 @t40 @t41 @t61) (=> @t655 (=> @t654 @t653)))) % 0.86/1.14 (assume @p390 (forall (@list @t40 @t41 @t595 @t61 @t54 @t31) (=> @t654 (=> @t655 @t653)))) % 0.86/1.14 (assume @p391 (forall (@list @t645 @t2 @t40 @t41 @t31) (= @t646 (or @t656 (and (= @t188 @t648) @t647))))) % 0.86/1.14 (assume @p392 (forall @t650 (=> @t656 @t646))) % 0.86/1.14 (assume @p393 (forall @t168 (=> @t631 (= @t658 @t643)))) % 0.86/1.14 (assume @p394 (forall @t168 (=> @t631 (= (not @t618) @t659)))) % 0.86/1.14 (assume @p395 (forall @t539 (=> @t631 (or @t612 @t660)))) % 0.86/1.14 (assume @p396 (forall @t168 (=> @t633 (= @t657 (and @t618 @t49))))) % 0.86/1.14 (assume @p397 (forall @t168 (=> @t625 (= @t657 (and @t618 (not @t643)))))) % 0.86/1.14 (assume @p398 (forall @t168 (=> @t633 (= @t618 (or @t657 @t48))))) % 0.86/1.14 (assume @p399 (forall @t539 (=> @t631 (=> @t662 @t613)))) % 0.86/1.14 (assume @p400 (forall @t614 (=> @t631 (=> (not @t613) @t661)))) % 0.86/1.14 (assume @p401 (forall @t168 (=> @t631 (=> @t658 @t642)))) % 0.86/1.14 (assume @p402 (forall @t540 (=> @t633 (=> @t162 (=> @t640 @t663))))) % 0.86/1.14 (assume @p403 (forall @t540 (=> @t633 (=> @t162 (=> @t639 @t664))))) % 0.86/1.14 (assume @p404 (forall @t614 (=> @t631 (=> @t613 @t662)))) % 0.86/1.14 (assume @p405 (forall @t539 (=> @t625 (=> @t661 @t612)))) % 0.86/1.14 (assume @p406 (forall @t168 (=> @t631 (=> @t618 @t665)))) % 0.86/1.14 (assume @p407 (forall @t539 (=> @t633 (=> @t612 (or @t661 @t635))))) % 0.86/1.14 (assume @p408 (forall @t540 (=> @t633 (=> @t640 (=> @t162 @t663))))) % 0.86/1.14 (assume @p409 (forall @t666 (=> @t633 (=> @t639 (=> @t162 @t664))))) % 0.86/1.14 (assume @p410 (forall @t529 (=> @t625 (=> @t661 (=> @t636 @t667))))) % 0.86/1.14 (assume @p411 (forall @t634 (=> @t633 (=> @t660 (=> @t632 @t668))))) % 0.86/1.14 (assume @p412 (forall @t529 (=> @t625 (=> @t612 @t669)))) % 0.86/1.14 (assume @p413 (forall @t634 (=> @t633 (=> @t613 @t670)))) % 0.86/1.14 (assume @p414 (forall @t672 (=> @t671 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t220)))) % 0.86/1.14 (assume @p415 (forall @t617 (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t110 @t173) @t673)))) % 0.86/1.14 (assume @p416 (forall @t616 (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t108 @t173) @t673)))) % 0.86/1.14 (assume @p417 (forall @t246 (=> @t625 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t173 @t173))))) % 0.86/1.14 (assume @p418 (forall @t168 (=> @t631 (= @t49 (or @t657 @t659))))) % 0.86/1.14 (assume @p419 (forall @t168 (=> @t631 (= @t658 (or @t659 @t48))))) % 0.86/1.14 (assume @p420 (forall @t539 (=> @t631 (or @t661 @t635 @t660)))) % 0.86/1.14 (assume @p421 (forall @t644 (=> @t631 (=> (not @t659) @t665)))) % 0.86/1.14 (assume @p422 (forall @t539 (=> @t631 (=> @t674 (=> @t662 @t660))))) % 0.86/1.14 (assume @p423 (forall @t539 (=> @t633 (=> @t661 @t674)))) % 0.86/1.14 (assume @p424 (forall @t539 (=> @t625 (=> @t661 (not @t660))))) % 0.86/1.14 (assume @p425 (forall @t539 (=> @t633 (=> @t661 (not (= @t220 @t173)))))) % 0.86/1.14 (assume @p426 (forall @t540 (=> @t625 (=> @t663 (not @t664))))) % 0.86/1.14 (assume @p427 (forall @t666 (=> @t633 (=> @t664 (not @t663))))) % 0.86/1.14 (assume @p428 (forall @t535 (=> @t641 (=> @t161 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t108 @t530) @t675))))) % 0.86/1.14 (assume @p429 (forall @t535 (=> @t633 (=> @t161 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t530 @t108) @t676))))) % 0.86/1.14 (assume @p430 (forall @t535 (=> @t641 (=> @t663 (=> @t638 @t675))))) % 0.86/1.14 (assume @p431 (forall @t537 (=> @t633 (=> @t664 (=> @t638 @t676))))) % 0.86/1.14 (assume @p432 (forall @t529 (=> @t625 (=> @t661 @t669)))) % 0.86/1.14 (assume @p433 (forall @t634 (=> @t633 (=> @t660 @t670)))) % 0.86/1.14 (assume @p434 (forall @t539 (=> @t631 (=> @t662 (=> @t674 @t660))))) % 0.86/1.14 (assume @p435 (forall @t652 (=> @t656 @t651))) % 0.86/1.14 (assume @p436 (forall (@list @t2 @t40 @t41 @t31) (= (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_Wellfounded_Omeasure @t31 @t2))) @t656))) % 0.86/1.14 (assume @p437 (forall @t682 (= @t681 (and @t680 @t679)))) % 0.86/1.14 (assume @p438 (forall @t628 (=> @t627 (= (tptp.c_Orderings_Oord__class_Oless @t193 @t2 @t1) (and @t626 (not (tptp.c_Orderings_Oord__class_Oless__eq @t193 @t1 @t2))))))) % 0.86/1.14 (assume @p439 (forall @t494 (=> @t586 @t684))) % 0.86/1.14 (assume @p440 (forall @t494 (=> @t685 (=> @t601 @t683)))) % 0.86/1.14 (assume @p441 (forall @t482 (=> @t685 @t586))) % 0.86/1.14 (assume @p442 (forall @t482 (= @t586 (or @t685 @t38)))) % 0.86/1.14 (assume @p443 (forall @t482 (= @t685 (and @t586 (not @t38))))) % 0.86/1.14 (assume @p444 (forall @t588 (=> @t685 @t587))) % 0.86/1.14 (assume @p445 (forall @t687 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t686)))) % 0.86/1.14 (assume @p446 (forall @t682 (= @t679 (or @t681 @t688)))) % 0.86/1.14 (assume @p447 (forall @t672 (=> @t674 (=> (not @t671) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t220 @t173))))) % 0.86/1.14 (assume @p448 (forall (@list @t689 @t686) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t689) @t691))) % 0.86/1.14 (assume @p449 (forall (@list @t692 @t693) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t693 @t692) (not (= @t693 @t692))))) % 0.86/1.14 (assume @p450 (forall (@list @t61 @t363 @t677) (=> (=> @t681 @t694) (=> (=> @t678 @t694) (=> (=> @t688 @t694) @t694))))) % 0.86/1.14 (assume @p451 (forall @t687 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t686))) % 0.86/1.14 (assume @p452 (forall @t697 (or @t696 @t695))) % 0.86/1.14 (assume @p453 (forall @t697 (=> @t690 @t696))) % 0.86/1.14 (assume @p454 (forall (@list @t698 @t700 @t699) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t699 @t700) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t700 @t698) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t699 @t698))))) % 0.86/1.14 (assume @p455 (forall @t697 (=> @t696 (=> @t695 @t690)))) % 0.86/1.14 (assume @p456 (forall @t697 (=> (or @t701 @t690) @t696))) % 0.86/1.14 (assume @p457 (forall @t697 (=> @t696 (=> @t691 @t701)))) % 0.86/1.14 (assume @p458 (forall @t697 (=> @t701 @t696))) % 0.86/1.14 (assume @p459 (forall @t682 (= @t680 (or @t681 @t678)))) % 0.86/1.14 (assume @p460 (forall @t343 (= @t273 (and @t348 (forall (@list @t702) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t702 @t347) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 (tptp.c_List_Onth @t31 @t260 @t702)) (tptp.c_List_Onth @t31 @t264 @t702))) @t69)))))))) % 0.86/1.14 (assume @p461 (forall (@list @t35 @t69 @t98 @t95 @t31) (=> @t389 (=> @t704 (or @t100 @t97))))) % 0.86/1.14 (assume @p462 (forall (@list @t29 @t98 @t54 @t35 @t95 @t31) (=> @t97 (=> @t706 @t705)))) % 0.86/1.14 (assume @p463 (forall @t494 (=> @t685 @t684))) % 0.86/1.14 (assume @p464 (forall (@list @t31 @t264 @t260) (= @t283 (and @t348 (forall @t17 (=> @t708 (= @t707 (tptp.c_List_Onth @t31 @t264 @t7)))))))) % 0.86/1.14 (assume @p465 (forall (@list @t219 @t173 @t172 @t31) (= (tptp.c_List_Onth @t31 (tptp.hAPP @t289 @t629) @t352) @t173))) % 0.86/1.14 (assume @p466 (forall (@list @t709 @t203 @t260 @t31) (=> @t354 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 @t347) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t709 @t347) (= (= (tptp.c_List_Onth @t31 @t260 @t203) @t710) (= @t203 @t709))))))) % 0.86/1.14 (assume @p467 (forall @t351 (= @t354 (forall @t17 (=> @t708 (forall (@list @t711) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t711 @t347) (=> (not (= @t7 @t711)) (not (= @t707 (tptp.c_List_Onth @t31 @t260 @t711))))))))))) % 0.86/1.14 (assume @p468 (forall @t579 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t630 @t347) (not (tptp.hBOOL (tptp.hAPP @t61 (tptp.c_List_Onth @t31 @t260 @t630))))))) % 0.86/1.14 (assume @p469 (forall (@list @t260 @t61 @t31 @t709) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t709 @t630) (= (tptp.c_List_Onth @t31 @t567 @t709) @t710)))) % 0.86/1.14 (assume @p470 (forall @t716 (=> @t715 (= (tptp.c_Orderings_Oord__class_Oless__eq @t624 @t714 @t713) (tptp.c_Orderings_Oord__class_Oless__eq @t140 @t35 @t29))))) % 0.86/1.14 (assume @p471 (forall (@list @t35 @t69 @t31) (=> @t704 (tptp.c_Orderings_Oord__class_Oless__eq @t584 @t265 (tptp.c_Product__Type_OSigma @t234 @t234 @t429 (tptp.c_COMBK @t479 @t234 @t429)))))) % 0.86/1.14 (assume @p472 (forall @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t326 @t428 @t703))) % 0.86/1.14 (assume @p473 (forall @t716 (=> @t715 (= (= @t714 @t713) @t38)))) % 0.86/1.14 (assume @p474 (forall (@list @t491 @t717 @t718 @t54 @t31) (= (tptp.c_Product__Type_OSigma @t31 @t54 (tptp.hAPP (tptp.hAPP @t466 @t718) @t717) @t491) (tptp.hAPP (tptp.hAPP @t518 (tptp.c_Product__Type_OSigma @t31 @t54 @t718 @t491)) (tptp.c_Product__Type_OSigma @t31 @t54 @t717 @t491))))) % 0.86/1.14 (assume @p475 (forall (@list @t491 @t29 @t35 @t54 @t31) (= (tptp.c_Product__Type_OSigma @t31 @t54 @t475 @t719) (tptp.hAPP (tptp.hAPP @t518 (tptp.c_Product__Type_OSigma @t31 @t54 @t35 @t719)) (tptp.c_Product__Type_OSigma @t31 @t54 @t29 @t719))))) % 0.86/1.14 (assume @p476 (forall (@list @t29 @t35 @t718 @t54 @t31) (= (tptp.c_Product__Type_OSigma @t31 @t54 @t718 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t31 @t140 @t140) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t140 (tptp.tc_fun @t140 @t140) @t31) @t621) @t35)) @t29)) (tptp.hAPP (tptp.hAPP @t518 (tptp.c_Product__Type_OSigma @t31 @t54 @t718 @t35)) (tptp.c_Product__Type_OSigma @t31 @t54 @t718 @t29))))) % 0.86/1.14 (assume @p477 (forall (@list @t29 @t35 @t31 @t54) (= (tptp.c_Set_Oimage @t416 @t58 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t54 @t31 @t58) (tptp.hAPP (tptp.c_COMBC @t31 @t54 @t58) @t55)) (tptp.c_Product__Type_OSigma @t54 @t31 @t35 (tptp.c_COMBK @t178 @t54 @t29))) (tptp.c_Product__Type_OSigma @t31 @t54 @t29 (tptp.c_COMBK @t140 @t31 @t35))))) % 0.86/1.14 (assume @p478 (forall @t720 (=> @t705 (not (=> @t97 (not @t706)))))) % 0.86/1.14 (assume @p479 (forall @t720 (=> @t705 @t706))) % 0.86/1.14 (assume @p480 (forall @t720 (=> @t705 @t97))) % 0.86/1.14 (assume @p481 (forall @t720 (= @t705 (and @t97 @t706)))) % 0.86/1.14 (assume @p482 (forall (@list @t260 @t31 @t61 @t709) (=> (forall @t17 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t709) (tptp.hBOOL (tptp.hAPP @t61 @t707)))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t709 @t347) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t709 @t630))))) % 0.86/1.14 (assume @p483 (forall @t725 (=> @t724 (tptp.class_Lattices_Osemilattice__inf @t723)))) % 0.86/1.14 (assume @p484 (forall @t725 (=> (tptp.class_Orderings_Opreorder @t721) (tptp.class_Orderings_Opreorder @t723)))) % 0.86/1.14 (assume @p485 (forall @t725 (=> @t724 (tptp.class_Lattices_Olattice @t723)))) % 0.86/1.14 (assume @p486 (forall @t725 (=> (tptp.class_Orderings_Oorder @t721) (tptp.class_Orderings_Oorder @t723)))) % 0.86/1.14 (assume @p487 (forall @t725 (=> (tptp.class_Orderings_Oord @t721) (tptp.class_Orderings_Oord @t723)))) % 0.86/1.14 (assume @p488 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 0.86/1.14 (assume @p489 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.86/1.14 (assume @p490 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.86/1.14 (assume @p491 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 0.86/1.14 (assume @p492 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.86/1.14 (assume @p493 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.86/1.14 (assume @p494 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 0.86/1.14 (assume @p495 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.86/1.14 (assume @p496 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 0.86/1.14 (assume @p497 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.86/1.14 (assume @p498 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.86/1.14 (assume @p499 (forall (@list @t726 @t31) (= (tptp.hAPP @t201 @t726) @t726))) % 0.86/1.14 (assume @p500 (forall (@list @t727 @t726 @t54 @t31) (= (tptp.hAPP (tptp.c_COMBK @t31 @t54 @t726) @t727) @t726))) % 0.86/1.14 (assume @p501 (forall (@list @t53 @t595 @t61 @t147 @t31 @t54) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t515 @t61) @t595) @t53) (tptp.hAPP @t61 @t728)))) % 0.86/1.14 (assume @p502 (forall @t730 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t147 @t31) @t61) @t595) @t53) (tptp.hAPP @t729 @t595)))) % 0.86/1.14 (assume @p503 (forall @t730 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t54 @t147 @t31) @t61) @t595) @t53) (tptp.hAPP @t729 @t728)))) % 0.86/1.14 (assume @p504 (forall @t732 (or (not @t731) @t48))) % 0.86/1.14 (assume @p505 (forall @t732 (or @t49 @t731))) % 0.86/1.14 (assume @p506 (forall @t736 (or (not @t735) @t734))) % 0.86/1.14 (assume @p507 (forall @t736 (or (not @t734) @t735))) % 0.86/1.14 (assume @p508 (forall @t739 (or @t734 (not @t738) @t737))) % 0.86/1.14 (assume @p509 (forall @t739 (or @t740 @t733))) % 0.86/1.14 (assume @p510 (forall @t739 (or @t740 @t738))) % 0.86/1.14 (assume @p511 @t742) % 0.86/1.14 (assume @p512 true) % 0.86/1.14 (step @p513 :rule instantiate :premises (@p5) :args (@t744)) % 0.86/1.14 (step @p514 :rule eq-symm :args (@t748 @t749)) % 0.86/1.14 (step @p515 :rule refl :args (@t25)) % 0.86/1.14 (step @p516 :rule cong :premises (@p515 @p514) :args ((=> @t25 @t750))) % 0.86/1.14 (assume-push @p550 @t25) % 0.86/1.14 (step @p518 :rule instantiate :premises (@p6) :args (@t744)) % 0.86/1.14 (step-pop @p551 :rule scope :premises (@p518)) % 0.86/1.14 (step @p519 :rule process_scope :premises (@p551) :args (@t750)) % 0.86/1.14 (step @p521 :rule eq_resolve :premises (@p519 @p516)) % 0.86/1.14 (step @p522 :rule implies_elim :premises (@p521)) % 0.86/1.14 (step @p523 :rule chain_m_resolution :premises (@p522 @p6) :args (@t751 (@list false) (@list @t25))) % 0.86/1.14 (step @p524 :rule eq-symm :args (@t24 @t16)) % 0.86/1.14 (step @p525 :rule cong :premises (@p524) :args (@t741)) % 0.86/1.14 (step @p526 :rule cong :premises (@p525) :args (@t742)) % 0.86/1.14 (step @p527 :rule eq_resolve :premises (@p511 @p526)) % 0.86/1.14 (step @p528 :rule skolemize :premises (@p527)) % 0.86/1.14 (step @p529 :rule cnf_equiv_neg2 :args (@t753)) % 0.86/1.14 (step @p530 :rule cnf_equiv_pos1 :args (@t751)) % 0.86/1.14 (step @p531 :rule reordering :premises (@p530) :args ((or @t755 @t748 @t754))) % 0.86/1.14 (step @p532 :rule instantiate :premises (@p4) :args (@t744)) % 0.86/1.14 (step @p533 :rule cnf_equiv_pos2 :args (@t757)) % 0.86/1.14 (step @p534 :rule reordering :premises (@p533) :args ((or @t752 @t759 @t758))) % 0.86/1.14 (step @p535 :rule cnf_equiv_pos2 :args (@t760)) % 0.86/1.14 (step @p536 :rule reordering :premises (@p535) :args ((or @t756 @t762 @t761))) % 0.86/1.14 (step @p537 :rule chain_m_resolution :premises (@p536 @p513 @p534 @p532 @p531 @p523 @p529 @p528) :args (@t755 (@list false true false false false true true) (@list @t760 @t756 @t757 @t748 @t751 @t752 @t753))) % 0.86/1.14 (step @p538 :rule cnf_equiv_pos2 :args (@t751)) % 0.86/1.14 (step @p539 :rule reordering :premises (@p538) :args ((or @t749 @t762 @t754))) % 0.86/1.14 (step @p540 :rule chain_m_resolution :premises (@p539 @p537 @p523) :args (@t762 (@list true false) (@list @t749 @t751))) % 0.86/1.14 (step @p541 :rule cnf_equiv_neg1 :args (@t753)) % 0.86/1.14 (step @p542 :rule reordering :premises (@p541) :args ((or @t752 @t749 @t753))) % 0.86/1.14 (step @p543 :rule chain_m_resolution :premises (@p542 @p537 @p528) :args (@t752 (@list true true) (@list @t749 @t753))) % 0.86/1.14 (step @p544 :rule cnf_equiv_pos1 :args (@t757)) % 0.86/1.14 (step @p545 :rule reordering :premises (@p544) :args ((or (not @t752) @t756 @t758))) % 0.86/1.14 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p532) :args (@t756 (@list false false) (@list @t752 @t757))) % 0.86/1.14 (step @p547 :rule cnf_equiv_pos1 :args (@t760)) % 0.86/1.14 (step @p548 :rule reordering :premises (@p547) :args ((or @t748 @t759 @t761))) % 0.86/1.14 (step @p549 false :rule chain_m_resolution :premises (@p548 @p546 @p540 @p513) :args (false (@list false true false) (@list @t756 @t748 @t760))) % 0.86/1.14 ) % 0.86/1.14 % SZS output end Proof % 0.86/1.14 % cvc5 exiting %------------------------------------------------------------------------------