%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT134+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:46:20 AM UTC 2026 % Result : Theorem 63.84s 64.32s % Output : Proof 63.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT134+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 14:30:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.64 %----Proving TF0_NAR, FOF, or CNF % 63.84/64.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 63.84/64.32 --- Run --no-e-matching --full-saturate-quant at 6... % 63.84/64.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 63.84/64.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 63.84/64.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.84/64.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.84/64.32 % SZS status Theorem % 63.84/64.32 % SZS output start Proof % 63.84/64.32 ( % 63.84/64.32 (declare-sort $$unsorted 0) % 63.84/64.32 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 63.84/64.32 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.tc_Nat_Onat $$unsorted) % 63.84/64.32 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.v_P____ $$unsorted) % 63.84/64.32 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 63.84/64.32 (declare-const tptp.tc_HOL_Obool $$unsorted) % 63.84/64.32 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 63.84/64.32 (declare-const tptp.v_F $$unsorted) % 63.84/64.32 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.v_b____ $$unsorted) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove $$unsorted) % 63.84/64.32 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.v_b_H____ $$unsorted) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.v_Q____ $$unsorted) % 63.84/64.32 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 63.84/64.32 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.v_a_H____ $$unsorted) % 63.84/64.32 (declare-const tptp.c_fequal $$unsorted) % 63.84/64.32 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.v_a____ $$unsorted) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 63.84/64.32 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_fNot $$unsorted) % 63.84/64.32 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.84/64.32 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.v_P_H____ $$unsorted) % 63.84/64.32 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 63.84/64.32 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 63.84/64.32 (define @t1 () (@var "V_g_2" $$unsorted)) % 63.84/64.32 (define @t2 () (@var "V_f_2" $$unsorted)) % 63.84/64.32 (define @t3 () (= @t2 @t1)) % 63.84/64.32 (define @t4 () (@var "B_x" $$unsorted)) % 63.84/64.32 (define @t5 () (tptp.hAPP @t1 @t4)) % 63.84/64.32 (define @t6 () (tptp.hAPP @t2 @t4)) % 63.84/64.32 (define @t7 () (= @t6 @t5)) % 63.84/64.32 (define @t8 () (@list @t4)) % 63.84/64.32 (define @t9 () (tptp.hAPP tptp.v_F tptp.v_Q____)) % 63.84/64.32 (define @t10 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 63.84/64.32 (define @t11 () (tptp.hAPP @t10 tptp.v_a_H____)) % 63.84/64.32 (define @t12 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 63.84/64.32 (define @t13 () (tptp.c_member @t12)) % 63.84/64.32 (define @t14 () (tptp.hAPP @t13 (tptp.hAPP @t11 tptp.v_b_H____))) % 63.84/64.32 (define @t15 () (tptp.hBOOL (tptp.hAPP @t14 @t9))) % 63.84/64.32 (define @t16 () (@var "B_i" $$unsorted)) % 63.84/64.32 (define @t17 () (tptp.hBOOL (tptp.hAPP @t14 (tptp.hAPP tptp.v_P_H____ @t16)))) % 63.84/64.32 (define @t18 () (tptp.hAPP tptp.v_Q____ @t16)) % 63.84/64.32 (define @t19 () (@list @t16)) % 63.84/64.32 (define @t20 () (forall @t19 (= (tptp.hBOOL (tptp.hAPP @t14 @t18)) @t17))) % 63.84/64.32 (define @t21 () (@var "B_xa" $$unsorted)) % 63.84/64.32 (define @t22 () (tptp.hAPP tptp.v_F @t21)) % 63.84/64.32 (define @t23 () (@var "B_b" $$unsorted)) % 63.84/64.32 (define @t24 () (@var "B_a" $$unsorted)) % 63.84/64.32 (define @t25 () (tptp.hAPP @t13 (tptp.hAPP (tptp.hAPP @t10 @t24) @t23))) % 63.84/64.32 (define @t26 () (tptp.hAPP tptp.v_F @t4)) % 63.84/64.32 (define @t27 () (= (tptp.hBOOL (tptp.hAPP @t25 @t26)) (tptp.hBOOL (tptp.hAPP @t25 @t22)))) % 63.84/64.32 (define @t28 () (tptp.hAPP @t21 @t16)) % 63.84/64.32 (define @t29 () (tptp.hAPP @t4 @t16)) % 63.84/64.32 (define @t30 () (tptp.hBOOL (tptp.hAPP @t25 @t29))) % 63.84/64.32 (define @t31 () (forall @t19 (= @t30 (tptp.hBOOL (tptp.hAPP @t25 @t28))))) % 63.84/64.32 (define @t32 () (@list @t24 @t23)) % 63.84/64.32 (define @t33 () (forall @t32 (=> @t31 @t27))) % 63.84/64.32 (define @t34 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t35 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t34)) % 63.84/64.32 (define @t36 () (tptp.c_member @t35)) % 63.84/64.32 (define @t37 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t21) tptp.c_Arrow__Order__Mirabelle_OProf))) % 63.84/64.32 (define @t38 () (=> @t37 @t33)) % 63.84/64.32 (define @t39 () (@list @t21)) % 63.84/64.32 (define @t40 () (forall @t39 @t38)) % 63.84/64.32 (define @t41 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 63.84/64.32 (define @t42 () (=> @t41 @t40)) % 63.84/64.32 (define @t43 () (forall @t8 @t42)) % 63.84/64.32 (define @t44 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 63.84/64.32 (define @t45 () (@var "V_B_2" $$unsorted)) % 63.84/64.32 (define @t46 () (@var "V_c_2" $$unsorted)) % 63.84/64.32 (define @t47 () (@var "T_a" $$unsorted)) % 63.84/64.32 (define @t48 () (tptp.c_member @t47)) % 63.84/64.32 (define @t49 () (tptp.hAPP @t48 @t46)) % 63.84/64.32 (define @t50 () (tptp.hBOOL (tptp.hAPP @t49 @t45))) % 63.84/64.32 (define @t51 () (@var "V_A_2" $$unsorted)) % 63.84/64.32 (define @t52 () (tptp.hBOOL (tptp.hAPP @t49 @t51))) % 63.84/64.32 (define @t53 () (=> (not @t52) @t50)) % 63.84/64.32 (define @t54 () (not @t50)) % 63.84/64.32 (define @t55 () (=> @t52 @t54)) % 63.84/64.32 (define @t56 () (= @t51 @t45)) % 63.84/64.32 (define @t57 () (@var "V_L_2" $$unsorted)) % 63.84/64.32 (define @t58 () (@var "V_y_2" $$unsorted)) % 63.84/64.32 (define @t59 () (@var "V_x_2" $$unsorted)) % 63.84/64.32 (define @t60 () (tptp.hAPP @t10 @t59)) % 63.84/64.32 (define @t61 () (tptp.hAPP @t13 (tptp.hAPP @t60 @t58))) % 63.84/64.32 (define @t62 () (tptp.hBOOL (tptp.hAPP @t61 @t57))) % 63.84/64.32 (define @t63 () (@var "V_z_2" $$unsorted)) % 63.84/64.32 (define @t64 () (= @t59 @t63)) % 63.84/64.32 (define @t65 () (not @t64)) % 63.84/64.32 (define @t66 () (= @t59 @t58)) % 63.84/64.32 (define @t67 () (not @t66)) % 63.84/64.32 (define @t68 () (= @t58 @t63)) % 63.84/64.32 (define @t69 () (not @t68)) % 63.84/64.32 (define @t70 () (@list @t63 @t57 @t58 @t59)) % 63.84/64.32 (define @t71 () (tptp.hAPP @t13 (tptp.hAPP (tptp.hAPP @t10 tptp.v_a____) tptp.v_b____))) % 63.84/64.32 (define @t72 () (tptp.hBOOL (tptp.hAPP @t71 (tptp.hAPP tptp.v_P____ @t16)))) % 63.84/64.32 (define @t73 () (@var "V_R_2" $$unsorted)) % 63.84/64.32 (define @t74 () (@var "T_b" $$unsorted)) % 63.84/64.32 (define @t75 () (tptp.c_Product__Type_OPair @t47 @t74)) % 63.84/64.32 (define @t76 () (tptp.hAPP @t75 @t59)) % 63.84/64.32 (define @t77 () (tptp.hAPP @t76 @t58)) % 63.84/64.32 (define @t78 () (tptp.tc_prod @t47 @t74)) % 63.84/64.32 (define @t79 () (tptp.c_member @t78)) % 63.84/64.32 (define @t80 () (tptp.hAPP @t79 @t77)) % 63.84/64.32 (define @t81 () (@var "V_Pa_2" $$unsorted)) % 63.84/64.32 (define @t82 () (@var "V_y_H_2" $$unsorted)) % 63.84/64.32 (define @t83 () (tptp.c_Product__Type_OPair @t78 @t78)) % 63.84/64.32 (define @t84 () (tptp.c_member (tptp.tc_prod @t78 @t78))) % 63.84/64.32 (define @t85 () (tptp.c_Product__Type_OPair @t74 @t74)) % 63.84/64.32 (define @t86 () (tptp.c_member (tptp.tc_prod @t74 @t74))) % 63.84/64.32 (define @t87 () (tptp.hAPP @t81 @t59)) % 63.84/64.32 (define @t88 () (tptp.hBOOL @t87)) % 63.84/64.32 (define @t89 () (@var "V_r_2" $$unsorted)) % 63.84/64.32 (define @t90 () (tptp.c_Product__Type_OPair @t47 @t47)) % 63.84/64.32 (define @t91 () (tptp.hAPP @t90 @t4)) % 63.84/64.32 (define @t92 () (tptp.hAPP @t91 @t4)) % 63.84/64.32 (define @t93 () (tptp.tc_prod @t47 @t47)) % 63.84/64.32 (define @t94 () (tptp.c_member @t93)) % 63.84/64.32 (define @t95 () (tptp.hAPP @t94 @t92)) % 63.84/64.32 (define @t96 () (tptp.hBOOL (tptp.hAPP @t95 @t89))) % 63.84/64.32 (define @t97 () (@list @t89 @t47)) % 63.84/64.32 (define @t98 () (tptp.hAPP (tptp.hAPP @t75 @t24) @t23)) % 63.84/64.32 (define @t99 () (@var "B_x1" $$unsorted)) % 63.84/64.32 (define @t100 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 63.84/64.32 (define @t101 () (@var "V_aa_2" $$unsorted)) % 63.84/64.32 (define @t102 () (tptp.hAPP @t48 @t101)) % 63.84/64.32 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t51))) % 63.84/64.32 (define @t104 () (@var "V_ba_2" $$unsorted)) % 63.84/64.32 (define @t105 () (tptp.hAPP @t48 @t104)) % 63.84/64.32 (define @t106 () (= @t101 @t104)) % 63.84/64.32 (define @t107 () (@list @t51 @t47 @t104 @t101)) % 63.84/64.32 (define @t108 () (tptp.hAPP @t48 @t58)) % 63.84/64.32 (define @t109 () (tptp.hBOOL (tptp.hAPP @t108 @t51))) % 63.84/64.32 (define @t110 () (tptp.hAPP @t48 @t59)) % 63.84/64.32 (define @t111 () (tptp.hBOOL (tptp.hAPP @t110 @t51))) % 63.84/64.32 (define @t112 () (tptp.hBOOL (tptp.hAPP @t110 @t45))) % 63.84/64.32 (define @t113 () (tptp.hAPP @t51 @t59)) % 63.84/64.32 (define @t114 () (tptp.hBOOL @t113)) % 63.84/64.32 (define @t115 () (@list @t51 @t59 @t47)) % 63.84/64.32 (define @t116 () (@var "V_b_H" $$unsorted)) % 63.84/64.32 (define @t117 () (@var "V_b" $$unsorted)) % 63.84/64.32 (define @t118 () (@var "V_a_H" $$unsorted)) % 63.84/64.32 (define @t119 () (@var "V_a" $$unsorted)) % 63.84/64.32 (define @t120 () (@var "V_b_Ha_2" $$unsorted)) % 63.84/64.32 (define @t121 () (@var "V_a_Ha_2" $$unsorted)) % 63.84/64.32 (define @t122 () (= @t101 @t121)) % 63.84/64.32 (define @t123 () (tptp.hAPP (tptp.hAPP @t75 @t121) @t120)) % 63.84/64.32 (define @t124 () (tptp.hAPP @t75 @t101)) % 63.84/64.32 (define @t125 () (tptp.hAPP @t124 @t104)) % 63.84/64.32 (define @t126 () (tptp.c_member @t34)) % 63.84/64.32 (define @t127 () (@var "V_f1_2" $$unsorted)) % 63.84/64.32 (define @t128 () (@var "T_c" $$unsorted)) % 63.84/64.32 (define @t129 () (tptp.c_Product__Type_OPair @t74 @t128)) % 63.84/64.32 (define @t130 () (tptp.hAPP (tptp.hAPP @t129 @t101) @t104)) % 63.84/64.32 (define @t131 () (@var "V_Fa_2" $$unsorted)) % 63.84/64.32 (define @t132 () (tptp.hAPP @t131 @t4)) % 63.84/64.32 (define @t133 () (tptp.hBOOL (tptp.hAPP @t25 @t132))) % 63.84/64.32 (define @t134 () (@list @t131)) % 63.84/64.32 (define @t135 () (@var "V_s_2" $$unsorted)) % 63.84/64.32 (define @t136 () (tptp.hAPP @t90 @t101)) % 63.84/64.32 (define @t137 () (@var "V_i_2" $$unsorted)) % 63.84/64.32 (define @t138 () (tptp.hAPP tptp.v_P____ @t137)) % 63.84/64.32 (define @t139 () (tptp.hAPP @t4 @t137)) % 63.84/64.32 (define @t140 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t131 @t137)) % 63.84/64.32 (define @t141 () (@list @t137 @t131)) % 63.84/64.32 (define @t142 () (@var "B_z" $$unsorted)) % 63.84/64.32 (define @t143 () (@var "B_g" $$unsorted)) % 63.84/64.32 (define @t144 () (tptp.hAPP @t143 @t142)) % 63.84/64.32 (define @t145 () (@var "V_a1_2" $$unsorted)) % 63.84/64.32 (define @t146 () (tptp.hAPP @t90 @t142)) % 63.84/64.32 (define @t147 () (@list @t142)) % 63.84/64.32 (define @t148 () (forall @t147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t146 @t145)) @t73)) (tptp.c_Recdef_Owfrec__rel @t47 @t74 @t73 @t131 @t142 @t144)))) % 63.84/64.32 (define @t149 () (tptp.hAPP @t131 @t143)) % 63.84/64.32 (define @t150 () (tptp.hAPP @t149 @t145)) % 63.84/64.32 (define @t151 () (@var "V_a2_2" $$unsorted)) % 63.84/64.32 (define @t152 () (tptp.hAPP (tptp.hAPP @t131 @t151) @t145)) % 63.84/64.32 (define @t153 () (@list @t143)) % 63.84/64.32 (define @t154 () (@list @t151 @t145 @t131 @t73 @t74 @t47)) % 63.84/64.32 (define @t155 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t47 @t74 tptp.tc_HOL_Obool @t2 @t101 @t104))) % 63.84/64.32 (define @t156 () (tptp.hBOOL (tptp.hAPP @t2 @t125))) % 63.84/64.32 (define @t157 () (tptp.hAPP @t10 @t104)) % 63.84/64.32 (define @t158 () (tptp.hAPP @t10 @t101)) % 63.84/64.32 (define @t159 () (tptp.hAPP @t13 (tptp.hAPP @t158 @t104))) % 63.84/64.32 (define @t160 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 @t57) tptp.c_Arrow__Order__Mirabelle_OLin))) % 63.84/64.32 (define @t161 () (tptp.c_FuncSet_OPi @t35 @t34 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t34 tptp.tc_HOL_Obool) @t35 tptp.c_Arrow__Order__Mirabelle_OLin))) % 63.84/64.32 (define @t162 () (tptp.c_member (tptp.tc_fun @t35 @t34))) % 63.84/64.32 (define @t163 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Oabove @t57)) % 63.84/64.32 (define @t164 () (@list @t57 @t58 @t59)) % 63.84/64.32 (define @t165 () (= @t58 @t104)) % 63.84/64.32 (define @t166 () (= @t59 @t101)) % 63.84/64.32 (define @t167 () (= @t59 @t104)) % 63.84/64.32 (define @t168 () (not @t106)) % 63.84/64.32 (define @t169 () (@list @t58 @t59 @t57 @t104 @t101)) % 63.84/64.32 (define @t170 () (not @t166)) % 63.84/64.32 (define @t171 () (= @t58 @t101)) % 63.84/64.32 (define @t172 () (@list @t59 @t57)) % 63.84/64.32 (define @t173 () (@var "V_S_2" $$unsorted)) % 63.84/64.32 (define @t174 () (= @t73 @t173)) % 63.84/64.32 (define @t175 () (tptp.tc_fun @t78 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t176 () (tptp.tc_fun @t175 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t177 () (tptp.tc_fun @t74 @t176)) % 63.84/64.32 (define @t178 () (tptp.tc_fun @t74 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t179 () (tptp.hAPP (tptp.c_COMBC @t47 @t175 @t178) (tptp.hAPP (tptp.c_COMBB @t177 (tptp.tc_fun @t175 @t178) @t47 (tptp.c_COMBC @t74 @t175 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t74 @t78) @t177 @t47 (tptp.c_COMBB @t78 @t176 @t74 @t79)) @t75)))) % 63.84/64.32 (define @t180 () (tptp.hAPP @t179 @t173)) % 63.84/64.32 (define @t181 () (tptp.hAPP @t179 @t73)) % 63.84/64.32 (define @t182 () (@list @t173 @t73 @t74 @t47)) % 63.84/64.32 (define @t183 () (tptp.tc_fun @t47 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t184 () (tptp.hAPP (tptp.c_COMBC @t47 @t183 tptp.tc_HOL_Obool) @t48)) % 63.84/64.32 (define @t185 () (tptp.hAPP @t184 @t173)) % 63.84/64.32 (define @t186 () (tptp.hAPP @t184 @t73)) % 63.84/64.32 (define @t187 () (@list @t173 @t73 @t47)) % 63.84/64.32 (define @t188 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t146 @t59)) @t73))) % 63.84/64.32 (define @t189 () (tptp.c_Wellfounded_Oacc @t47 @t89)) % 63.84/64.32 (define @t190 () (tptp.hAPP @t48 @t4)) % 63.84/64.32 (define @t191 () (tptp.hBOOL (tptp.hAPP @t102 @t189))) % 63.84/64.32 (define @t192 () (@list @t89 @t101 @t47)) % 63.84/64.32 (define @t193 () (tptp.hAPP @t136 @t104)) % 63.84/64.32 (define @t194 () (tptp.hAPP @t94 @t193)) % 63.84/64.32 (define @t195 () (tptp.hBOOL (tptp.hAPP @t194 @t89))) % 63.84/64.32 (define @t196 () (tptp.hBOOL (tptp.hAPP @t105 @t189))) % 63.84/64.32 (define @t197 () (@var "B_f" $$unsorted)) % 63.84/64.32 (define @t198 () (@var "B_R" $$unsorted)) % 63.84/64.32 (define @t199 () (tptp.c_Recdef_Ocut @t47 @t74)) % 63.84/64.32 (define @t200 () (tptp.hAPP @t90 @t59)) % 63.84/64.32 (define @t201 () (tptp.hAPP @t94 (tptp.hAPP @t200 @t101))) % 63.84/64.32 (define @t202 () (@var "B_y" $$unsorted)) % 63.84/64.32 (define @t203 () (tptp.hAPP @t90 @t202)) % 63.84/64.32 (define @t204 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t203 @t59)) @t89))) % 63.84/64.32 (define @t205 () (@list @t202)) % 63.84/64.32 (define @t206 () (tptp.hAPP (tptp.hAPP @t199 @t2) @t89)) % 63.84/64.32 (define @t207 () (tptp.hAPP @t206 @t59)) % 63.84/64.32 (define @t208 () (@list @t58 @t59 @t47)) % 63.84/64.32 (define @t209 () (tptp.hAPP @t2 @t59)) % 63.84/64.32 (define @t210 () (not @t111)) % 63.84/64.32 (define @t211 () (tptp.hAPP @t45 @t59)) % 63.84/64.32 (define @t212 () (tptp.c_member @t74)) % 63.84/64.32 (define @t213 () (tptp.hAPP @t212 @t209)) % 63.84/64.32 (define @t214 () (tptp.hBOOL (tptp.hAPP @t213 @t211))) % 63.84/64.32 (define @t215 () (tptp.c_FuncSet_OPi @t47 @t74 @t51 @t45)) % 63.84/64.32 (define @t216 () (tptp.tc_fun @t47 @t74)) % 63.84/64.32 (define @t217 () (tptp.c_member @t216)) % 63.84/64.32 (define @t218 () (tptp.hAPP @t217 @t2)) % 63.84/64.32 (define @t219 () (tptp.hBOOL (tptp.hAPP @t218 @t215))) % 63.84/64.32 (define @t220 () (@list @t59 @t45 @t51 @t2 @t74 @t47)) % 63.84/64.32 (define @t221 () (tptp.c_COMBK @t178 @t47 @t45)) % 63.84/64.32 (define @t222 () (tptp.c_FuncSet_OPi @t47 @t74 @t51 @t221)) % 63.84/64.32 (define @t223 () (tptp.hBOOL (tptp.hAPP @t218 @t222))) % 63.84/64.32 (define @t224 () (tptp.c_COMBK @t183 @t47 @t51)) % 63.84/64.32 (define @t225 () (tptp.c_COMBI @t47)) % 63.84/64.32 (define @t226 () (tptp.tc_fun @t47 @t47)) % 63.84/64.32 (define @t227 () (@list @t51 @t47)) % 63.84/64.32 (define @t228 () (tptp.tc_fun @t47 @t216)) % 63.84/64.32 (define @t229 () (tptp.tc_fun @t93 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t230 () (@list @t131 @t73 @t74 @t47)) % 63.84/64.32 (define @t231 () (tptp.hBOOL (tptp.hAPP @t110 @t189))) % 63.84/64.32 (define @t232 () (tptp.tc_fun @t229 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t233 () (tptp.tc_fun @t47 @t232)) % 63.84/64.32 (define @t234 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t47 @t229 @t183) (tptp.hAPP (tptp.c_COMBB @t233 (tptp.tc_fun @t229 @t183) @t47 (tptp.c_COMBC @t47 @t229 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t47 @t93) @t233 @t47 (tptp.c_COMBB @t93 @t232 @t47 @t94)) @t90))) @t89)) % 63.84/64.32 (define @t235 () (tptp.c_Wellfounded_Oacc @t47 @t73)) % 63.84/64.32 (define @t236 () (tptp.c_HOL_Oundefined @t74)) % 63.84/64.32 (define @t237 () (tptp.hAPP @t207 @t58)) % 63.84/64.32 (define @t238 () (tptp.hAPP @t90 @t58)) % 63.84/64.32 (define @t239 () (tptp.hAPP @t238 @t59)) % 63.84/64.32 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 @t239) @t89))) % 63.84/64.32 (define @t241 () (tptp.hAPP @t2 @t58)) % 63.84/64.32 (define @t242 () (tptp.c_Wellfounded_Oaccp @t47 @t89)) % 63.84/64.32 (define @t243 () (tptp.hBOOL (tptp.hAPP @t242 @t101))) % 63.84/64.32 (define @t244 () (@list @t101 @t89 @t47)) % 63.84/64.32 (define @t245 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t101) @t104))) % 63.84/64.32 (define @t246 () (tptp.hBOOL (tptp.hAPP @t242 @t104))) % 63.84/64.32 (define @t247 () (@list @t101 @t104 @t89 @t47)) % 63.84/64.32 (define @t248 () (= @t209 @t236)) % 63.84/64.32 (define @t249 () (tptp.c_FuncSet_Oextensional @t47 @t74 @t51)) % 63.84/64.32 (define @t250 () (tptp.hBOOL (tptp.hAPP @t218 @t249))) % 63.84/64.32 (define @t251 () (tptp.hAPP @t45 @t4)) % 63.84/64.32 (define @t252 () (tptp.hAPP @t212 @t6)) % 63.84/64.32 (define @t253 () (tptp.hBOOL (tptp.hAPP @t190 @t51))) % 63.84/64.32 (define @t254 () (forall @t8 (=> @t253 (tptp.hBOOL (tptp.hAPP @t252 @t251))))) % 63.84/64.32 (define @t255 () (@list @t45 @t2 @t74 @t51 @t47)) % 63.84/64.32 (define @t256 () (forall @t8 (=> @t253 (tptp.hBOOL (tptp.hAPP @t252 @t45))))) % 63.84/64.32 (define @t257 () (tptp.hBOOL (tptp.hAPP @t110 @t173))) % 63.84/64.32 (define @t258 () (not @t257)) % 63.84/64.32 (define @t259 () (@var "V_T_2" $$unsorted)) % 63.84/64.32 (define @t260 () (tptp.c_FuncSet_Oextensional__funcset @t47 @t74 @t173 @t259)) % 63.84/64.32 (define @t261 () (tptp.hBOOL (tptp.hAPP @t218 @t260))) % 63.84/64.32 (define @t262 () (@list @t59 @t259 @t173 @t2 @t74 @t47)) % 63.84/64.32 (define @t263 () (tptp.hAPP @t217 @t1)) % 63.84/64.32 (define @t264 () (@var "B_w" $$unsorted)) % 63.84/64.32 (define @t265 () (@var "V_C_2" $$unsorted)) % 63.84/64.32 (define @t266 () (tptp.tc_fun @t128 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t267 () (tptp.c_FuncSet_Ocompose @t47 @t74 @t128 @t51 @t1 @t2)) % 63.84/64.32 (define @t268 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t74 @t128)) @t1) (tptp.c_FuncSet_OPi @t74 @t128 @t45 (tptp.c_COMBK @t266 @t74 @t265))))) % 63.84/64.32 (define @t269 () (tptp.c_FuncSet_Ocompose @t47 @t128 @t74 @t51 @t1 @t2)) % 63.84/64.32 (define @t270 () (@var "V_h_2" $$unsorted)) % 63.84/64.32 (define @t271 () (@var "T_d" $$unsorted)) % 63.84/64.32 (define @t272 () (@var "V_D_2" $$unsorted)) % 63.84/64.32 (define @t273 () (tptp.hBOOL (tptp.hAPP @t263 @t249))) % 63.84/64.32 (define @t274 () (@list @t45 @t51 @t2 @t74 @t47)) % 63.84/64.32 (define @t275 () (tptp.tc_fun @t216 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t276 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t89)) % 63.84/64.32 (define @t277 () (tptp.hAPP @t90 @t104)) % 63.84/64.32 (define @t278 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t277 @t101)) @t276))) % 63.84/64.32 (define @t279 () (tptp.c_FuncSet_Orestrict @t47 @t74 @t2 @t51)) % 63.84/64.32 (define @t280 () (tptp.hAPP @t279 @t59)) % 63.84/64.32 (define @t281 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t183)) % 63.84/64.32 (define @t282 () (tptp.hAPP @t281 @t51)) % 63.84/64.32 (define @t283 () (tptp.hAPP @t282 @t45)) % 63.84/64.32 (define @t284 () (tptp.hBOOL (tptp.hAPP @t283 @t59))) % 63.84/64.32 (define @t285 () (tptp.hBOOL @t211)) % 63.84/64.32 (define @t286 () (not @t285)) % 63.84/64.32 (define @t287 () (@list @t59 @t45 @t51 @t47)) % 63.84/64.32 (define @t288 () (tptp.hBOOL (tptp.hAPP @t49 @t283))) % 63.84/64.32 (define @t289 () (@list @t45 @t51 @t46 @t47)) % 63.84/64.32 (define @t290 () (tptp.hAPP @t281 @t45)) % 63.84/64.32 (define @t291 () (tptp.hAPP @t290 @t51)) % 63.84/64.32 (define @t292 () (@list @t45 @t51 @t47)) % 63.84/64.32 (define @t293 () (tptp.hAPP @t282 @t265)) % 63.84/64.32 (define @t294 () (tptp.hAPP @t290 @t265)) % 63.84/64.32 (define @t295 () (tptp.hAPP @t282 @t294)) % 63.84/64.32 (define @t296 () (@list @t265 @t45 @t51 @t47)) % 63.84/64.32 (define @t297 () (@list @t59 @t173 @t73 @t47)) % 63.84/64.32 (define @t298 () (tptp.hAPP @t217 @t279)) % 63.84/64.32 (define @t299 () (@list @t51 @t2 @t74 @t47)) % 63.84/64.32 (define @t300 () (tptp.hAPP @t94 (tptp.hAPP @t136 @t101))) % 63.84/64.32 (define @t301 () (@var "V_p_2" $$unsorted)) % 63.84/64.32 (define @t302 () (tptp.hAPP @t94 @t301)) % 63.84/64.32 (define @t303 () (tptp.hBOOL (tptp.hAPP @t302 @t89))) % 63.84/64.32 (define @t304 () (@list @t89 @t301 @t47)) % 63.84/64.32 (define @t305 () (tptp.hAPP @t94 (tptp.hAPP @t136 @t46))) % 63.84/64.32 (define @t306 () (tptp.hBOOL (tptp.hAPP @t305 @t276))) % 63.84/64.32 (define @t307 () (tptp.hAPP @t94 (tptp.hAPP @t277 @t46))) % 63.84/64.32 (define @t308 () (tptp.hBOOL (tptp.hAPP @t307 @t276))) % 63.84/64.32 (define @t309 () (=> @t308 @t306)) % 63.84/64.32 (define @t310 () (@list @t46 @t89 @t104 @t101 @t47)) % 63.84/64.32 (define @t311 () (tptp.hBOOL (tptp.hAPP @t307 @t89))) % 63.84/64.32 (define @t312 () (tptp.hBOOL (tptp.hAPP @t194 @t276))) % 63.84/64.32 (define @t313 () (tptp.hAPP @t1 @t59)) % 63.84/64.32 (define @t314 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t47)) % 63.84/64.32 (define @t315 () (tptp.tc_fun @t74 @t47)) % 63.84/64.32 (define @t316 () (tptp.class_Lattices_Olattice @t47)) % 63.84/64.32 (define @t317 () (@list @t59 @t1 @t2 @t74 @t47)) % 63.84/64.32 (define @t318 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t175)) % 63.84/64.32 (define @t319 () (tptp.tc_fun @t47 @t178)) % 63.84/64.32 (define @t320 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t319)) % 63.84/64.32 (define @t321 () (@list @t58 @t59 @t173 @t73 @t74 @t47)) % 63.84/64.32 (define @t322 () (tptp.hAPP @t314 @t119)) % 63.84/64.32 (define @t323 () (tptp.class_Lattices_Osemilattice__inf @t47)) % 63.84/64.32 (define @t324 () (@list @t119 @t47)) % 63.84/64.32 (define @t325 () (@var "V_x" $$unsorted)) % 63.84/64.32 (define @t326 () (tptp.hAPP @t314 @t325)) % 63.84/64.32 (define @t327 () (@list @t325 @t47)) % 63.84/64.32 (define @t328 () (tptp.hAPP @t314 @t117)) % 63.84/64.32 (define @t329 () (tptp.hAPP @t322 @t117)) % 63.84/64.32 (define @t330 () (@list @t117 @t119 @t47)) % 63.84/64.32 (define @t331 () (@var "V_y" $$unsorted)) % 63.84/64.32 (define @t332 () (tptp.hAPP @t314 @t331)) % 63.84/64.32 (define @t333 () (tptp.hAPP @t332 @t325)) % 63.84/64.32 (define @t334 () (tptp.hAPP @t326 @t331)) % 63.84/64.32 (define @t335 () (= @t334 @t333)) % 63.84/64.32 (define @t336 () (@list @t331 @t325 @t47)) % 63.84/64.32 (define @t337 () (= (tptp.hAPP @t326 @t334) @t334)) % 63.84/64.32 (define @t338 () (@var "V_c" $$unsorted)) % 63.84/64.32 (define @t339 () (tptp.hAPP @t322 (tptp.hAPP @t328 @t338))) % 63.84/64.32 (define @t340 () (@list @t338 @t119 @t117 @t47)) % 63.84/64.32 (define @t341 () (@var "V_z" $$unsorted)) % 63.84/64.32 (define @t342 () (tptp.hAPP @t326 @t341)) % 63.84/64.32 (define @t343 () (tptp.hAPP @t332 @t341)) % 63.84/64.32 (define @t344 () (tptp.hAPP @t326 @t343)) % 63.84/64.32 (define @t345 () (= @t344 (tptp.hAPP @t332 @t342))) % 63.84/64.32 (define @t346 () (@list @t341 @t331 @t325 @t47)) % 63.84/64.32 (define @t347 () (@list @t338 @t117 @t119 @t47)) % 63.84/64.32 (define @t348 () (= (tptp.hAPP (tptp.hAPP @t314 @t334) @t341) @t344)) % 63.84/64.32 (define @t349 () (tptp.hAPP @t94 (tptp.hAPP @t238 @t63))) % 63.84/64.32 (define @t350 () (tptp.hAPP @t94 (tptp.hAPP @t200 @t63))) % 63.84/64.32 (define @t351 () (tptp.hBOOL (tptp.hAPP @t350 @t276))) % 63.84/64.32 (define @t352 () (tptp.hAPP @t94 (tptp.hAPP @t200 @t58))) % 63.84/64.32 (define @t353 () (tptp.hBOOL (tptp.hAPP @t352 @t276))) % 63.84/64.32 (define @t354 () (@list @t63 @t58 @t59 @t89 @t47)) % 63.84/64.32 (define @t355 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t73)) % 63.84/64.32 (define @t356 () (tptp.hBOOL (tptp.hAPP @t352 @t355))) % 63.84/64.32 (define @t357 () (@var "V_by_2" $$unsorted)) % 63.84/64.32 (define @t358 () (@var "V_bx_2" $$unsorted)) % 63.84/64.32 (define @t359 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 @t358) @t357))) % 63.84/64.32 (define @t360 () (@var "B_ba" $$unsorted)) % 63.84/64.32 (define @t361 () (@var "B_aa" $$unsorted)) % 63.84/64.32 (define @t362 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 @t361) @t360))) % 63.84/64.32 (define @t363 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 @t24) @t23))) % 63.84/64.32 (define @t364 () (tptp.hAPP (tptp.hAPP @t75 @t361) @t360)) % 63.84/64.32 (define @t365 () (tptp.hAPP @t83 @t98)) % 63.84/64.32 (define @t366 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t365 @t364)) @t89))) % 63.84/64.32 (define @t367 () (tptp.c_Transitive__Closure_Ortrancl @t78 @t89)) % 63.84/64.32 (define @t368 () (@var "V_ay_2" $$unsorted)) % 63.84/64.32 (define @t369 () (@var "V_ax_2" $$unsorted)) % 63.84/64.32 (define @t370 () (tptp.hAPP @t83 (tptp.hAPP (tptp.hAPP @t75 @t369) @t368))) % 63.84/64.32 (define @t371 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 @t369) @t368))) % 63.84/64.32 (define @t372 () (tptp.hAPP (tptp.hAPP @t75 @t358) @t357)) % 63.84/64.32 (define @t373 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t370 @t372)) @t367))) % 63.84/64.32 (define @t374 () (@list @t81 @t89 @t357 @t358 @t368 @t369 @t74 @t47)) % 63.84/64.32 (define @t375 () (@var "V_zb_2" $$unsorted)) % 63.84/64.32 (define @t376 () (@var "V_za_2" $$unsorted)) % 63.84/64.32 (define @t377 () (tptp.hAPP (tptp.hAPP @t75 @t376) @t375)) % 63.84/64.32 (define @t378 () (@var "V_xb_2" $$unsorted)) % 63.84/64.32 (define @t379 () (@var "V_xa_2" $$unsorted)) % 63.84/64.32 (define @t380 () (tptp.hAPP (tptp.hAPP @t75 @t379) @t378)) % 63.84/64.32 (define @t381 () (tptp.hAPP @t83 @t380)) % 63.84/64.32 (define @t382 () (tptp.hBOOL (tptp.hAPP @t81 @t104))) % 63.84/64.32 (define @t383 () (tptp.hBOOL (tptp.hAPP @t81 @t142))) % 63.84/64.32 (define @t384 () (tptp.hBOOL (tptp.hAPP @t81 @t202))) % 63.84/64.32 (define @t385 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t203 @t142)) @t89))) % 63.84/64.32 (define @t386 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t136 @t202)) @t276))) % 63.84/64.32 (define @t387 () (tptp.hBOOL (tptp.hAPP @t81 @t101))) % 63.84/64.32 (define @t388 () (@list @t81 @t89 @t104 @t101 @t47)) % 63.84/64.32 (define @t389 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t320 @t51) @t45) @t59) @t58))) % 63.84/64.32 (define @t390 () (tptp.hBOOL (tptp.hAPP @t211 @t58))) % 63.84/64.32 (define @t391 () (tptp.hBOOL (tptp.hAPP @t113 @t58))) % 63.84/64.32 (define @t392 () (not @t390)) % 63.84/64.32 (define @t393 () (@list @t58 @t59 @t45 @t51 @t74 @t47)) % 63.84/64.32 (define @t394 () (tptp.c_Relation_ODomain @t47 @t74 @t89)) % 63.84/64.32 (define @t395 () (tptp.hBOOL (tptp.hAPP @t102 @t394))) % 63.84/64.32 (define @t396 () (tptp.hAPP @t79 @t125)) % 63.84/64.32 (define @t397 () (tptp.hBOOL (tptp.hAPP @t396 @t89))) % 63.84/64.32 (define @t398 () (@list @t89 @t104 @t101 @t74 @t47)) % 63.84/64.32 (define @t399 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t124 @t202)) @t89))) % 63.84/64.32 (define @t400 () (@list @t89 @t74 @t101 @t47)) % 63.84/64.32 (define @t401 () (tptp.hAPP @t75 @t4)) % 63.84/64.32 (define @t402 () (tptp.hAPP @t401 @t202)) % 63.84/64.32 (define @t403 () (forall (@list @t4 @t202) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t402) @t89)) (forall @t147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t401 @t142)) @t89)) (= @t202 @t142)))))) % 63.84/64.32 (define @t404 () (tptp.c_Relation_Osingle__valued @t47 @t74 @t89)) % 63.84/64.32 (define @t405 () (@list @t89 @t74 @t47)) % 63.84/64.32 (define @t406 () (tptp.hAPP @t179 @t89)) % 63.84/64.32 (define @t407 () (@list @t59 @t89 @t74 @t47)) % 63.84/64.32 (define @t408 () (@list @t74 @t47 @t104 @t101 @t89)) % 63.84/64.32 (define @t409 () (tptp.c_Relation_ORange @t47 @t74 @t89)) % 63.84/64.32 (define @t410 () (tptp.hAPP @t212 @t104)) % 63.84/64.32 (define @t411 () (tptp.c_Relation_OId__on @t47 @t51)) % 63.84/64.32 (define @t412 () (@list @t51 @t58 @t59 @t47)) % 63.84/64.32 (define @t413 () (tptp.c_Product__Type_OPair @t74 @t47)) % 63.84/64.32 (define @t414 () (tptp.tc_prod @t74 @t47)) % 63.84/64.32 (define @t415 () (tptp.c_member @t414)) % 63.84/64.32 (define @t416 () (tptp.c_Relation_ORange @t74 @t47 @t89)) % 63.84/64.32 (define @t417 () (@list @t89 @t104 @t101 @t47)) % 63.84/64.32 (define @t418 () (not (= @t4 @t21))) % 63.84/64.32 (define @t419 () (tptp.hAPP @t48 @t21)) % 63.84/64.32 (define @t420 () (@list @t89 @t51 @t47)) % 63.84/64.32 (define @t421 () (tptp.hBOOL (tptp.hAPP @t352 @t89))) % 63.84/64.32 (define @t422 () (tptp.c_Relation_Orefl__on @t47 @t51 @t89)) % 63.84/64.32 (define @t423 () (@list @t58 @t59 @t89 @t51 @t47)) % 63.84/64.32 (define @t424 () (tptp.c_Relation_Orefl__on @t47 @t45 @t135)) % 63.84/64.32 (define @t425 () (@list @t135 @t45 @t89 @t51 @t47)) % 63.84/64.32 (define @t426 () (tptp.c_Transitive__Closure_Otrancl @t47 @t89)) % 63.84/64.32 (define @t427 () (tptp.hBOOL (tptp.hAPP @t194 @t426))) % 63.84/64.32 (define @t428 () (tptp.c_Relation_ORange @t74 @t47 @t45)) % 63.84/64.32 (define @t429 () (tptp.c_Relation_ORange @t74 @t47 @t51)) % 63.84/64.32 (define @t430 () (tptp.tc_fun @t414 tptp.tc_HOL_Obool)) % 63.84/64.32 (define @t431 () (@list @t45 @t51 @t74 @t47)) % 63.84/64.32 (define @t432 () (tptp.c_Relation_ODomain @t47 @t74 @t45)) % 63.84/64.32 (define @t433 () (tptp.c_Relation_ODomain @t47 @t74 @t51)) % 63.84/64.32 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t45 @t51)) % 63.84/64.32 (define @t435 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t45)) % 63.84/64.32 (define @t436 () (tptp.c_Transitive__Closure_Ortranclp @t47 @t89)) % 63.84/64.32 (define @t437 () (tptp.hAPP @t436 @t59)) % 63.84/64.32 (define @t438 () (tptp.hBOOL (tptp.hAPP @t437 @t58))) % 63.84/64.32 (define @t439 () (tptp.hAPP @t436 @t101)) % 63.84/64.32 (define @t440 () (=> @t52 @t50)) % 63.84/64.32 (define @t441 () (tptp.hBOOL (tptp.hAPP @t302 @t426))) % 63.84/64.32 (define @t442 () (@var "V_A_H_2" $$unsorted)) % 63.84/64.32 (define @t443 () (@list @t47 @t45 @t51)) % 63.84/64.32 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t265)) % 63.84/64.32 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t45 @t265)) % 63.84/64.32 (define @t446 () (@var "V_Qa_2" $$unsorted)) % 63.84/64.32 (define @t447 () (tptp.hAPP @t446 @t59)) % 63.84/64.32 (define @t448 () (tptp.hBOOL @t447)) % 63.84/64.32 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t81 @t446)) % 63.84/64.32 (define @t450 () (@var "V_R1_2" $$unsorted)) % 63.84/64.32 (define @t451 () (@var "V_R2_2" $$unsorted)) % 63.84/64.32 (define @t452 () (@list @t451 @t450 @t47)) % 63.84/64.32 (define @t453 () (tptp.hBOOL (tptp.hAPP @t439 @t46))) % 63.84/64.32 (define @t454 () (tptp.hAPP @t436 @t104)) % 63.84/64.32 (define @t455 () (@var "V_a3_2" $$unsorted)) % 63.84/64.32 (define @t456 () (tptp.hAPP @t436 @t145)) % 63.84/64.32 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t89 @t135)) % 63.84/64.32 (define @t458 () (tptp.c_Orderings_Oord__class_Oless__eq @t175 @t89 @t135)) % 63.84/64.32 (define @t459 () (@list @t135 @t89 @t74 @t47)) % 63.84/64.32 (define @t460 () (@list @t45 @t51 @t59 @t47)) % 63.84/64.32 (define @t461 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t117)) % 63.84/64.32 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t119)) % 63.84/64.32 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t329)) % 63.84/64.32 (define @t464 () (@list @t117 @t119 @t325 @t47)) % 63.84/64.32 (define @t465 () (@var "V_d" $$unsorted)) % 63.84/64.32 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t117 @t465)) % 63.84/64.32 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t119 @t338)) % 63.84/64.32 (define @t468 () (@list @t465 @t117 @t338 @t119 @t47)) % 63.84/64.32 (define @t469 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t341)) % 63.84/64.32 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t331)) % 63.84/64.32 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t331 @t325)) % 63.84/64.32 (define @t472 () (@list @t325 @t331 @t47)) % 63.84/64.32 (define @t473 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t329 @t325)) % 63.84/64.32 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t117 @t325)) % 63.84/64.32 (define @t475 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t119 @t325)) % 63.84/64.32 (define @t476 () (@list @t117 @t325 @t119 @t47)) % 63.84/64.32 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t59 @t63)) % 63.84/64.32 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t59 @t58)) % 63.84/64.32 (define @t479 () (@list @t63 @t58 @t59 @t47)) % 63.84/64.32 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t334 @t331)) % 63.84/64.32 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t334 @t325)) % 63.84/64.32 (define @t482 () (tptp.c_Transitive__Closure_Otrancl @t47 @t73)) % 63.84/64.32 (define @t483 () (@list @t73 @t47)) % 63.84/64.32 (define @t484 () (tptp.hAPP @t281 @t265)) % 63.84/64.32 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t45 @t272)) % 63.84/64.32 (define @t486 () (@list @t272 @t45 @t265 @t51 @t47)) % 63.84/64.32 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t265 @t51)) % 63.84/64.32 (define @t488 () (@list @t51 @t45 @t47)) % 63.84/64.32 (define @t489 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t135)) % 63.84/64.32 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t276 @t489)) % 63.84/64.32 (define @t491 () (@list @t135 @t89 @t47)) % 63.84/64.32 (define @t492 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t173)) % 63.84/64.32 (define @t493 () (tptp.c_Relation_ODomain @t47 @t47 @t89)) % 63.84/64.32 (define @t494 () (tptp.c_Relation_ORange @t47 @t47 @t89)) % 63.84/64.32 (define @t495 () (tptp.hBOOL (tptp.hAPP @t454 @t101))) % 63.84/64.32 (define @t496 () (tptp.tc_fun @t47 @t183)) % 63.84/64.32 (define @t497 () (tptp.hBOOL (tptp.hAPP @t305 @t426))) % 63.84/64.32 (define @t498 () (=> (tptp.hBOOL (tptp.hAPP @t307 @t426)) @t497)) % 63.84/64.32 (define @t499 () (=> @t311 @t497)) % 63.84/64.32 (define @t500 () (tptp.hBOOL (tptp.hAPP @t352 @t482))) % 63.84/64.32 (define @t501 () (@list @t73 @t58 @t59 @t47)) % 63.84/64.32 (define @t502 () (=> @t308 @t497)) % 63.84/64.32 (define @t503 () (tptp.class_Orderings_Opreorder @t47)) % 63.84/64.32 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t216 @t2 @t1)) % 63.84/64.32 (define @t505 () (tptp.class_Orderings_Oord @t74)) % 63.84/64.32 (define @t506 () (tptp.hAPP @t94 (tptp.hAPP @t146 @t58))) % 63.84/64.32 (define @t507 () (tptp.hAPP @t94 (tptp.hAPP @t200 @t142))) % 63.84/64.32 (define @t508 () (tptp.c_Transitive__Closure_Ortranclp @t47 @t73)) % 63.84/64.32 (define @t509 () (tptp.c_Transitive__Closure_Ortranclp @t47 @t173)) % 63.84/64.32 (define @t510 () (tptp.class_Orderings_Olinorder @t47)) % 63.84/64.32 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t341 @t325)) % 63.84/64.32 (define @t512 () (tptp.class_Orderings_Oorder @t47)) % 63.84/64.32 (define @t513 () (@list @t341 @t325 @t331 @t47)) % 63.84/64.32 (define @t514 () (= @t325 @t331)) % 63.84/64.32 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t338 @t119)) % 63.84/64.32 (define @t516 () (= @t117 @t338)) % 63.84/64.32 (define @t517 () (tptp.class_Orderings_Oord @t47)) % 63.84/64.32 (define @t518 () (= @t119 @t117)) % 63.84/64.32 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t58 @t59)) % 63.84/64.32 (define @t520 () (tptp.c_Wellfounded_Omlex__prod @t47 @t2 @t73)) % 63.84/64.32 (define @t521 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t95 @t426))))) % 63.84/64.32 (define @t522 () (tptp.c_Wellfounded_Oacyclic @t47 @t89)) % 63.84/64.32 (define @t523 () (tptp.hBOOL (tptp.hAPP @t447 @t58))) % 63.84/64.32 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t319 @t81 @t446)) % 63.84/64.32 (define @t525 () (tptp.hBOOL (tptp.hAPP @t87 @t58))) % 63.84/64.32 (define @t526 () (or @t106 @t103)) % 63.84/64.32 (define @t527 () (tptp.c_Product__Type_OSigma @t47 @t47 @t51 @t224)) % 63.84/64.32 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t89 @t527)) % 63.84/64.32 (define @t529 () (tptp.c_Set_Oinsert @t47 @t104 @t45)) % 63.84/64.32 (define @t530 () (tptp.hBOOL (tptp.hAPP @t102 @t529))) % 63.84/64.32 (define @t531 () (tptp.hBOOL (tptp.hAPP @t102 @t45))) % 63.84/64.32 (define @t532 () (@list @t104 @t45 @t101 @t47)) % 63.84/64.32 (define @t533 () (tptp.hBOOL (tptp.hAPP @t102 (tptp.c_Set_Oinsert @t47 @t104 @t51)))) % 63.84/64.32 (define @t534 () (@list @t51 @t104 @t101 @t47)) % 63.84/64.32 (define @t535 () (tptp.c_Product__Type_OSigma @t47 @t74 @t51 @t45)) % 63.84/64.32 (define @t536 () (tptp.hBOOL (tptp.hAPP @t396 @t535))) % 63.84/64.32 (define @t537 () (tptp.hBOOL (tptp.hAPP @t410 (tptp.hAPP @t45 @t101)))) % 63.84/64.32 (define @t538 () (tptp.c_Set_Oinsert @t47 @t101 @t45)) % 63.84/64.32 (define @t539 () (tptp.c_Set_Oinsert @t47 @t101 @t283)) % 63.84/64.32 (define @t540 () (tptp.c_Set_Oinsert @t47 @t101 @t51)) % 63.84/64.32 (define @t541 () (@list @t45 @t51 @t101 @t47)) % 63.84/64.32 (define @t542 () (@list @t51 @t101 @t47)) % 63.84/64.32 (define @t543 () (tptp.c_Set_Oinsert @t47 @t59 @t45)) % 63.84/64.32 (define @t544 () (tptp.c_Set_Oinsert @t47 @t59 @t51)) % 63.84/64.32 (define @t545 () (tptp.c_Set_Oinsert @t47 @t58 @t51)) % 63.84/64.32 (define @t546 () (tptp.c_COMBK @t183 @t74 @t265)) % 63.84/64.32 (define @t547 () (tptp.c_Product__Type_OSigma @t74 @t47 @t45 @t546)) % 63.84/64.32 (define @t548 () (tptp.c_Product__Type_OSigma @t74 @t47 @t51 @t546)) % 63.84/64.32 (define @t549 () (tptp.hBOOL (tptp.hAPP @t110 @t265))) % 63.84/64.32 (define @t550 () (@list @t45 @t51 @t74 @t265 @t59 @t47)) % 63.84/64.32 (define @t551 () (tptp.hAPP @t282 @t538)) % 63.84/64.32 (define @t552 () (not @t103)) % 63.84/64.32 (define @t553 () (=> @t552 (= @t551 @t283))) % 63.84/64.32 (define @t554 () (=> @t103 (= @t551 @t539))) % 63.84/64.32 (define @t555 () (tptp.hAPP (tptp.hAPP @t281 @t538) @t265)) % 63.84/64.32 (define @t556 () (tptp.hBOOL (tptp.hAPP @t102 @t265))) % 63.84/64.32 (define @t557 () (=> (not @t556) (= @t555 @t294))) % 63.84/64.32 (define @t558 () (=> @t556 (= @t555 (tptp.c_Set_Oinsert @t47 @t101 @t294)))) % 63.84/64.32 (define @t559 () (@list @t45 @t265 @t101 @t47)) % 63.84/64.32 (define @t560 () (@list @t51 @t89 @t47)) % 63.84/64.32 (define @t561 () (@var "V_I_2" $$unsorted)) % 63.84/64.32 (define @t562 () (tptp.c_Product__Type_OSigma @t47 @t74 @t561 @t45)) % 63.84/64.32 (define @t563 () (tptp.c_Product__Type_OSigma @t47 @t74 @t561 @t51)) % 63.84/64.32 (define @t564 () (tptp.tc_fun @t178 @t178)) % 63.84/64.32 (define @t565 () (tptp.c_COMBS @t47 @t178 @t178)) % 63.84/64.32 (define @t566 () (@list @t45 @t51 @t561 @t74 @t47)) % 63.84/64.32 (define @t567 () (tptp.c_COMBK @t178 @t47 @t265)) % 63.84/64.32 (define @t568 () (tptp.c_Product__Type_OSigma @t47 @t74 @t45 @t567)) % 63.84/64.32 (define @t569 () (tptp.c_Product__Type_OSigma @t47 @t74 @t51 @t567)) % 63.84/64.32 (define @t570 () (@list @t265 @t45 @t51 @t74 @t47)) % 63.84/64.32 (define @t571 () (@var "V_J_2" $$unsorted)) % 63.84/64.32 (define @t572 () (tptp.c_Product__Type_OSigma @t47 @t74 @t571 @t265)) % 63.84/64.32 (define @t573 () (tptp.c_Product__Type_OSigma @t47 @t74 @t561 @t265)) % 63.84/64.32 (define @t574 () (@list @t265 @t571 @t561 @t74 @t47)) % 63.84/64.32 (define @t575 () (@list @t45 @t51 @t104 @t101 @t74 @t47)) % 63.84/64.32 (define @t576 () (forall @t8 (=> @t253 @t96))) % 63.84/64.32 (define @t577 () (tptp.c_FuncSet_Oextensional__funcset @t74 @t47 (tptp.c_Set_Oinsert @t74 @t59 @t173) @t259)) % 63.84/64.32 (define @t578 () (tptp.c_Fun_Ofun__upd @t74 @t47 @t2 @t59 @t58)) % 63.84/64.32 (define @t579 () (tptp.c_member @t315)) % 63.84/64.32 (define @t580 () (tptp.hAPP @t579 @t2)) % 63.84/64.32 (define @t581 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t47 @t74 @t2 @t101 @t104) @t59)) % 63.84/64.32 (define @t582 () (= @t209 @t58)) % 63.84/64.32 (define @t583 () (tptp.c_Fun_Ofun__upd @t47 @t74 @t2 @t59 @t58)) % 63.84/64.32 (define @t584 () (tptp.hAPP @t583 @t63)) % 63.84/64.32 (define @t585 () (= @t63 @t59)) % 63.84/64.32 (define @t586 () (=> (not @t585) (= @t584 (tptp.hAPP @t2 @t63)))) % 63.84/64.32 (define @t587 () (@list @t58 @t2 @t74 @t47 @t59 @t63)) % 63.84/64.32 (define @t588 () (@var "V_d_2" $$unsorted)) % 63.84/64.32 (define @t589 () (@var "V_m_2" $$unsorted)) % 63.84/64.32 (define @t590 () (= @t101 @t46)) % 63.84/64.32 (define @t591 () (tptp.c_COMBK @t178 @t47 (tptp.c_Set_Oinsert @t74 @t104 @t45))) % 63.84/64.32 (define @t592 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t175)) % 63.84/64.32 (define @t593 () (tptp.c_Relation_OField @t47 @t89)) % 63.84/64.32 (define @t594 () (tptp.tc_prod tptp.tc_Nat_Onat @t47)) % 63.84/64.32 (define @t595 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t183)) % 63.84/64.32 (define @t596 () (tptp.hAPP @t595 @t51)) % 63.84/64.32 (define @t597 () (tptp.hAPP @t596 @t45)) % 63.84/64.32 (define @t598 () (tptp.hBOOL (tptp.hAPP @t597 @t59))) % 63.84/64.32 (define @t599 () (tptp.hBOOL (tptp.hAPP @t49 @t597))) % 63.84/64.32 (define @t600 () (@list @t51 @t45 @t46 @t47)) % 63.84/64.32 (define @t601 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t229)) % 63.84/64.32 (define @t602 () (tptp.c_Transitive__Closure_Ortrancl @t47 (tptp.hAPP (tptp.hAPP @t601 @t73) @t173))) % 63.84/64.32 (define @t603 () (tptp.hAPP (tptp.hAPP @t601 @t355) @t492)) % 63.84/64.32 (define @t604 () (tptp.hAPP (tptp.hAPP @t601 @t89) @t135)) % 63.84/64.32 (define @t605 () (tptp.hBOOL (tptp.hAPP @t81 @t4))) % 63.84/64.32 (define @t606 () (tptp.hBOOL (tptp.hAPP @t190 @t45))) % 63.84/64.32 (define @t607 () (tptp.hBOOL (tptp.hAPP @t190 @t597))) % 63.84/64.32 (define @t608 () (@list @t81 @t45 @t51 @t47)) % 63.84/64.32 (define @t609 () (tptp.hAPP @t595 @t45)) % 63.84/64.32 (define @t610 () (tptp.hAPP @t609 @t265)) % 63.84/64.32 (define @t611 () (tptp.hAPP @t596 @t610)) % 63.84/64.32 (define @t612 () (tptp.hAPP @t596 @t265)) % 63.84/64.32 (define @t613 () (tptp.hAPP @t609 @t51)) % 63.84/64.32 (define @t614 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t47)) % 63.84/64.32 (define @t615 () (tptp.hAPP @t614 @t331)) % 63.84/64.32 (define @t616 () (tptp.hAPP @t615 @t341)) % 63.84/64.32 (define @t617 () (tptp.hAPP @t614 @t325)) % 63.84/64.32 (define @t618 () (tptp.hAPP @t617 @t616)) % 63.84/64.32 (define @t619 () (tptp.hAPP @t617 @t331)) % 63.84/64.32 (define @t620 () (= (tptp.hAPP (tptp.hAPP @t614 @t619) @t341) @t618)) % 63.84/64.32 (define @t621 () (tptp.class_Lattices_Osemilattice__sup @t47)) % 63.84/64.32 (define @t622 () (tptp.hAPP @t614 @t117)) % 63.84/64.32 (define @t623 () (tptp.hAPP @t614 @t119)) % 63.84/64.32 (define @t624 () (tptp.hAPP @t623 (tptp.hAPP @t622 @t338))) % 63.84/64.32 (define @t625 () (tptp.hAPP @t623 @t117)) % 63.84/64.32 (define @t626 () (tptp.hAPP @t617 @t341)) % 63.84/64.32 (define @t627 () (= @t618 (tptp.hAPP @t615 @t626))) % 63.84/64.32 (define @t628 () (= (tptp.hAPP @t617 @t619) @t619)) % 63.84/64.32 (define @t629 () (tptp.hAPP @t615 @t325)) % 63.84/64.32 (define @t630 () (= @t619 @t629)) % 63.84/64.32 (define @t631 () (tptp.c_Relation_OField @t47 @t135)) % 63.84/64.32 (define @t632 () (tptp.hAPP (tptp.hAPP @t614 @t334) @t342)) % 63.84/64.32 (define @t633 () (tptp.hAPP @t326 @t616)) % 63.84/64.32 (define @t634 () (tptp.class_Lattices_Odistrib__lattice @t47)) % 63.84/64.32 (define @t635 () (tptp.hAPP (tptp.hAPP @t314 @t619) @t626)) % 63.84/64.32 (define @t636 () (tptp.hAPP @t617 @t343)) % 63.84/64.32 (define @t637 () (@list @t325 @t341 @t331 @t47)) % 63.84/64.32 (define @t638 () (tptp.hAPP @t595 @t283)) % 63.84/64.32 (define @t639 () (tptp.hAPP @t282 @t610)) % 63.84/64.32 (define @t640 () (tptp.hAPP @t281 @t597)) % 63.84/64.32 (define @t641 () (tptp.hAPP @t484 @t51)) % 63.84/64.32 (define @t642 () (@list @t51 @t265 @t45 @t47)) % 63.84/64.32 (define @t643 () (tptp.hAPP @t595 @t265)) % 63.84/64.32 (define @t644 () (tptp.hAPP @t643 @t51)) % 63.84/64.32 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t619)) % 63.84/64.32 (define @t646 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t331 @t619)) % 63.84/64.32 (define @t647 () (tptp.hAPP (tptp.hAPP @t614 @t59) @t58)) % 63.84/64.32 (define @t648 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t625)) % 63.84/64.32 (define @t649 () (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t625 @t325)) % 63.84/64.32 (define @t650 () (= @t597 @t45)) % 63.84/64.32 (define @t651 () (tptp.hAPP @t94 @t59)) % 63.84/64.32 (define @t652 () (tptp.c_Orderings_Obot__class_Obot @t183)) % 63.84/64.32 (define @t653 () (tptp.c_Set_Oinsert @t47 @t104 @t652)) % 63.84/64.32 (define @t654 () (tptp.c_Set_Oinsert @t47 @t101 @t653)) % 63.84/64.32 (define @t655 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t81)) % 63.84/64.32 (define @t656 () (tptp.hBOOL (tptp.hAPP @t194 @t655))) % 63.84/64.32 (define @t657 () (tptp.hBOOL (tptp.hAPP @t194 (tptp.c_Transitive__Closure_Ortrancl @t47 (tptp.hAPP (tptp.hAPP @t601 @t81) @t446))))) % 63.84/64.32 (define @t658 () (@list @t446 @t81 @t104 @t101 @t47)) % 63.84/64.32 (define @t659 () (= @t51 @t652)) % 63.84/64.32 (define @t660 () (@list @t45 @t47)) % 63.84/64.32 (define @t661 () (tptp.c_Orderings_Obot__class_Obot @t47)) % 63.84/64.32 (define @t662 () (tptp.class_Lattices_Obounded__lattice__bot @t47)) % 63.84/64.32 (define @t663 () (tptp.c_Orderings_Obot__class_Obot @t229)) % 63.84/64.32 (define @t664 () (@list @t47)) % 63.84/64.32 (define @t665 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t496)) % 63.84/64.32 (define @t666 () (tptp.hAPP @t665 @t73)) % 63.84/64.32 (define @t667 () (tptp.c_Orderings_Obot__class_Obot @t275)) % 63.84/64.32 (define @t668 () (tptp.c_Set_Oinsert @t216 (tptp.c_COMBK @t74 @t47 @t236) @t667)) % 63.84/64.32 (define @t669 () (@list @t74 @t47)) % 63.84/64.32 (define @t670 () (tptp.c_Set_Oinsert @t47 @t101 @t652)) % 63.84/64.32 (define @t671 () (tptp.class_Orderings_Obot @t47)) % 63.84/64.32 (define @t672 () (tptp.c_Orderings_Obot__class_Obot @t175)) % 63.84/64.32 (define @t673 () (tptp.c_Orderings_Obot__class_Obot @t178)) % 63.84/64.32 (define @t674 () (tptp.c_Orderings_Obot__class_Obot @t430)) % 63.84/64.32 (define @t675 () (@list @t59 @t47)) % 63.84/64.32 (define @t676 () (= @t104 @t101)) % 63.84/64.32 (define @t677 () (tptp.hBOOL (tptp.hAPP @t105 @t670))) % 63.84/64.32 (define @t678 () (@list @t101 @t104 @t47)) % 63.84/64.32 (define @t679 () (tptp.c_Set_Oinsert @t47 @t59 @t652)) % 63.84/64.32 (define @t680 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t319)) % 63.84/64.32 (define @t681 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t680 @t51) @t45) @t59) @t58))) % 63.84/64.32 (define @t682 () (tptp.c_Groups_Ominus__class_Ominus @t183 @t51 @t45)) % 63.84/64.32 (define @t683 () (tptp.hBOOL (tptp.hAPP @t49 @t682))) % 63.84/64.32 (define @t684 () (tptp.c_Groups_Ominus__class_Ominus @t183 @t51 @t265)) % 63.84/64.32 (define @t685 () (tptp.hAPP @t595 @t682)) % 63.84/64.32 (define @t686 () (tptp.c_Groups_Ominus__class_Ominus @t183 @t45 @t51)) % 63.84/64.32 (define @t687 () (@var "T_1" $$unsorted)) % 63.84/64.32 (define @t688 () (@var "T_2" $$unsorted)) % 63.84/64.32 (define @t689 () (tptp.tc_fun @t688 @t687)) % 63.84/64.32 (define @t690 () (tptp.class_Lattices_Obounded__lattice @t687)) % 63.84/64.32 (define @t691 () (@list @t688 @t687)) % 63.84/64.32 (define @t692 () (tptp.class_Lattices_Olattice @t687)) % 63.84/64.32 (define @t693 () (@var "V_P" $$unsorted)) % 63.84/64.32 (define @t694 () (@var "V_Q" $$unsorted)) % 63.84/64.32 (define @t695 () (tptp.hAPP @t446 @t73)) % 63.84/64.32 (define @t696 () (tptp.hAPP @t81 @t73)) % 63.84/64.32 (define @t697 () (@list @t73 @t446 @t81 @t47 @t128 @t74)) % 63.84/64.32 (define @t698 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t59) @t58))) % 63.84/64.32 (define @t699 () (@list @t58 @t59)) % 63.84/64.32 (define @t700 () (not (tptp.hBOOL @t81))) % 63.84/64.32 (define @t701 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t81))) % 63.84/64.32 (define @t702 () (@list @t81)) % 63.84/64.32 (define @t703 () (tptp.hBOOL (tptp.hAPP @t14 (tptp.hAPP tptp.v_F tptp.v_P_H____)))) % 63.84/64.32 (define @t704 () (= @t15 @t703)) % 63.84/64.32 (define @t705 () (not @t704)) % 63.84/64.32 (define @t706 () (@var "BOUND_VARIABLE_11154" $$unsorted)) % 63.84/64.32 (define @t707 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 63.84/64.32 (define @t708 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 63.84/64.32 (define @t709 () (tptp.hAPP @t13 (tptp.hAPP (tptp.hAPP @t10 @t708) @t707))) % 63.84/64.32 (define @t710 () (= (tptp.hBOOL (tptp.hAPP @t709 @t26)) (tptp.hBOOL (tptp.hAPP @t709 (tptp.hAPP tptp.v_F @t706))))) % 63.84/64.32 (define @t711 () (not (forall @t19 (= (tptp.hBOOL (tptp.hAPP @t709 @t29)) (tptp.hBOOL (tptp.hAPP @t709 (tptp.hAPP @t706 @t16))))))) % 63.84/64.32 (define @t712 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t706) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 63.84/64.32 (define @t713 () (not @t41)) % 63.84/64.32 (define @t714 () (or @t712 @t711 @t710)) % 63.84/64.32 (define @t715 () (or @t713 @t714)) % 63.84/64.32 (define @t716 () (forall (@list @t4 @t706 @t708 @t707) @t715)) % 63.84/64.32 (define @t717 () (@list @t706 @t708 @t707)) % 63.84/64.32 (define @t718 () (forall @t717 @t715)) % 63.84/64.32 (define @t719 () (forall @t717 @t714)) % 63.84/64.32 (define @t720 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 63.84/64.32 (define @t721 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 63.84/64.32 (define @t722 () (or @t713 @t719)) % 63.84/64.32 (define @t723 () (tptp.hAPP @t13 (tptp.hAPP (tptp.hAPP @t10 @t721) @t720))) % 63.84/64.32 (define @t724 () (= (tptp.hBOOL (tptp.hAPP @t723 @t26)) (tptp.hBOOL (tptp.hAPP @t723 @t22)))) % 63.84/64.32 (define @t725 () (not (forall @t19 (= (tptp.hBOOL (tptp.hAPP @t723 @t29)) (tptp.hBOOL (tptp.hAPP @t723 @t28)))))) % 63.84/64.32 (define @t726 () (not @t37)) % 63.84/64.32 (define @t727 () (or @t726 @t725 @t724)) % 63.84/64.32 (define @t728 () (@list @t21 @t721 @t720)) % 63.84/64.32 (define @t729 () (forall @t728 @t727)) % 63.84/64.32 (define @t730 () (or @t725 @t724)) % 63.84/64.32 (define @t731 () (or @t726 @t730)) % 63.84/64.32 (define @t732 () (forall @t728 @t731)) % 63.84/64.32 (define @t733 () (@list @t721 @t720)) % 63.84/64.32 (define @t734 () (forall @t733 @t731)) % 63.84/64.32 (define @t735 () (forall @t733 @t730)) % 63.84/64.32 (define @t736 () (or @t726 @t735)) % 63.84/64.32 (define @t737 () (forall @t32 (or (not @t31) @t27))) % 63.84/64.32 (define @t738 () (not @t20)) % 63.84/64.32 (define @t739 () (not @t44)) % 63.84/64.32 (define @t740 () (not @t100)) % 63.84/64.32 (define @t741 () (or @t740 @t739 @t738 @t704)) % 63.84/64.32 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 63.84/64.32 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 63.84/64.32 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 63.84/64.32 (assume @p4 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 63.84/64.32 (assume @p5 (not (= tptp.v_a____ tptp.v_b_H____))) % 63.84/64.32 (assume @p6 (not (= tptp.v_b____ tptp.v_a_H____))) % 63.84/64.32 (assume @p7 @t15) % 63.84/64.32 (assume @p8 @t20) % 63.84/64.32 (assume @p9 @t43) % 63.84/64.32 (assume @p10 @t44) % 63.84/64.32 (assume @p11 (forall (@list @t46 @t47 @t45 @t51) (=> @t56 (=> @t55 (not @t53))))) % 63.84/64.32 (assume @p12 (forall @t70 (= (tptp.hBOOL (tptp.hAPP @t61 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t57 @t63))) (and @t69 (=> @t64 @t67) (=> @t65 @t62))))) % 63.84/64.32 (assume @p13 (forall @t70 (= (tptp.hBOOL (tptp.hAPP @t61 (tptp.c_Arrow__Order__Mirabelle_Omktop @t57 @t63))) (and @t65 (=> @t68 @t67) (=> @t69 @t62))))) % 63.84/64.32 (assume @p14 (forall @t19 (= @t72 @t17))) % 63.84/64.32 (assume @p15 (=> (not (= tptp.v_a____ tptp.v_a_H____)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t11 tptp.v_a____)) @t9)))) % 63.84/64.32 (assume @p16 (=> (not (= tptp.v_b____ tptp.v_b_H____)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP (tptp.hAPP @t10 tptp.v_b____) tptp.v_b_H____)) @t9)))) % 63.84/64.32 (assume @p17 (forall (@list @t58 @t59 @t73 @t74 @t47) (= (tptp.c_FunDef_Oin__rel @t47 @t74 @t73 @t59 @t58) (tptp.hBOOL (tptp.hAPP @t80 @t73))))) % 63.84/64.32 (assume @p18 (forall (@list @t47 @t73 @t58 @t82 @t74 @t59 @t81) (=> @t88 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t85 @t82) @t58)) (tptp.hAPP @t73 @t59))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP (tptp.hAPP @t83 (tptp.hAPP @t76 @t82)) @t77)) (tptp.c_Recdef_Osame__fst @t47 @t74 @t81 @t73))))))) % 63.84/64.32 (assume @p19 (forall @t97 (= (tptp.c_Nitpick_Orefl_H @t47 @t89) (forall @t8 @t96)))) % 63.84/64.32 (assume @p20 (tptp.hBOOL (tptp.hAPP @t71 (tptp.hAPP tptp.v_F tptp.v_P____)))) % 63.84/64.32 (assume @p21 (forall (@list @t74 @t47 @t81) (= (forall (@list @t99) (tptp.hBOOL (tptp.hAPP @t81 @t99))) (forall @t32 (tptp.hBOOL (tptp.hAPP @t81 @t98)))))) % 63.84/64.32 (assume @p22 (not (= tptp.v_a____ tptp.v_b____))) % 63.84/64.32 (assume @p23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 63.84/64.32 (assume @p24 @t100) % 63.84/64.32 (assume @p25 (tptp.hBOOL (tptp.hAPP @t71 @t9))) % 63.84/64.32 (assume @p26 (forall @t19 (= @t72 (tptp.hBOOL (tptp.hAPP @t71 @t18))))) % 63.84/64.32 (assume @p27 (forall @t107 (=> @t106 (=> (tptp.hBOOL (tptp.hAPP @t105 @t51)) @t103)))) % 63.84/64.32 (assume @p28 (forall (@list @t51 @t47 @t58 @t59) (=> @t66 (= @t111 @t109)))) % 63.84/64.32 (assume @p29 (forall (@list @t59 @t47 @t45 @t51) (=> @t56 (= @t111 @t112)))) % 63.84/64.32 (assume @p30 (forall @t115 (= @t111 @t114))) % 63.84/64.32 (assume @p31 (forall (@list @t116 @t118 @t117 @t119 @t74 @t47) (=> (= (tptp.hAPP (tptp.hAPP @t75 @t119) @t117) (tptp.hAPP (tptp.hAPP @t75 @t118) @t116)) (not (=> (= @t119 @t118) (not (= @t117 @t116))))))) % 63.84/64.32 (assume @p32 (forall (@list @t120 @t121 @t104 @t101 @t74 @t47) (= (= @t125 @t123) (and @t122 (= @t104 @t120))))) % 63.84/64.32 (assume @p33 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 @t9) tptp.c_Arrow__Order__Mirabelle_OLin))) % 63.84/64.32 (assume @p34 (forall (@list @t104 @t101 @t127 @t47 @t128 @t74) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t74 @t128 @t47 @t127 @t130) (tptp.hAPP (tptp.hAPP @t127 @t101) @t104)))) % 63.84/64.32 (assume @p35 (forall @t134 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t131) (forall @t8 (=> @t41 (forall @t39 (=> @t37 (forall @t32 (=> @t31 (= @t133 (tptp.hBOOL (tptp.hAPP @t25 (tptp.hAPP @t131 @t21))))))))))))) % 63.84/64.32 (assume @p36 (forall @t134 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t131) (forall @t8 (=> @t41 (forall @t32 (=> (forall @t19 @t30) @t133))))))) % 63.84/64.32 (assume @p37 (forall (@list @t135 @t89 @t120 @t121 @t104 @t101 @t74 @t47) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP (tptp.hAPP @t83 @t125) @t123)) (tptp.c_Wellfounded_Olex__prod @t47 @t74 @t89 @t135))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t136 @t121)) @t89)) (and @t122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t85 @t104) @t120)) @t135))))))) % 63.84/64.32 (assume @p38 (forall (@list @t137) (= (tptp.hAPP tptp.v_Q____ @t137) (tptp.c_HOL_OLet @t34 @t34 (tptp.hAPP (tptp.hAPP (tptp.c_If @t34 (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_a____) tptp.v_a_H____)) @t138) (tptp.c_Arrow__Order__Mirabelle_Obelow @t138 tptp.v_a_H____ tptp.v_a____)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t34 @t34 @t34) (tptp.c_If @t34 (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_b____) tptp.v_b_H____))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t34 tptp.tc_Arrow__Order__Mirabelle_Oalt @t34) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t34 tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t34)) tptp.c_Arrow__Order__Mirabelle_Oabove) tptp.v_b____)) tptp.v_b_H____)))))) % 63.84/64.32 (assume @p39 (forall @t141 (= @t140 (forall @t8 (=> @t41 (= @t132 @t139)))))) % 63.84/64.32 (assume @p40 (forall (@list @t104 @t101 @t46 @t47 @t128 @t74) (= (tptp.c_Product__Type_Ointernal__split @t74 @t128 @t47 @t46 @t130) (tptp.hAPP (tptp.hAPP @t46 @t101) @t104)))) % 63.84/64.32 (assume @p41 (forall @t154 (= (tptp.c_Recdef_Owfrec__rel @t47 @t74 @t73 @t131 @t145 @t152) (exists @t153 (and (= @t152 @t150) @t148))))) % 63.84/64.32 (assume @p42 (forall (@list @t104 @t101 @t74 @t47 @t2) (=> @t156 @t155))) % 63.84/64.32 (assume @p43 (forall (@list @t104 @t101 @t57) (=> @t160 (=> (tptp.hBOOL (tptp.hAPP @t159 @t57)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t157 @t101)) @t57))))))) % 63.84/64.32 (assume @p44 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t162 tptp.v_F) @t161))) % 63.84/64.32 (assume @p45 (forall (@list @t58 @t59 @t46 @t47 @t128 @t74) (= (tptp.c_Product__Type_Ocurry @t74 @t128 @t47 @t46 @t59 @t58) (tptp.hAPP @t46 (tptp.hAPP (tptp.hAPP @t129 @t59) @t58))))) % 63.84/64.32 (assume @p46 (forall @t164 (=> @t67 (=> @t160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 (tptp.hAPP (tptp.hAPP @t163 @t59) @t58)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 63.84/64.32 (assume @p47 (forall @t164 (=> @t67 (=> @t160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 (tptp.c_Arrow__Order__Mirabelle_Obelow @t57 @t59 @t58)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 63.84/64.32 (assume @p48 (forall (@list @t57) (=> @t160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 (tptp.c_COMBK @t34 tptp.tc_Arrow__Order__Mirabelle_Oindi @t57)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 63.84/64.32 (assume @p49 (forall @t169 (=> @t168 (=> @t160 (= (tptp.hBOOL (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t163 @t101) @t104))) (and @t67 (=> @t167 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t158 @t58)) @t57))) (=> (not @t167) (and (=> @t165 (or @t166 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t60 @t101)) @t57)))) (=> (not @t165) @t62))))))))) % 63.84/64.32 (assume @p50 (forall @t169 (=> @t168 (=> @t160 (= (tptp.hBOOL (tptp.hAPP @t61 (tptp.c_Arrow__Order__Mirabelle_Obelow @t57 @t101 @t104))) (and @t67 (=> @t171 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t60 @t104)) @t57))) (=> (not @t171) (and (=> @t166 (or @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t157 @t58)) @t57)))) (=> @t170 @t62))))))))) % 63.84/64.32 (assume @p51 (forall (@list @t104 @t101 @t2 @t74 @t47) (=> @t155 @t156))) % 63.84/64.32 (assume @p52 (forall (@list @t104 @t101 @t2 @t47 @t128 @t74) (= (tptp.c_Product__Type_Ocurry @t74 @t128 @t47 @t2 @t101 @t104) (tptp.hAPP @t2 @t130)))) % 63.84/64.32 (assume @p53 (forall @t172 (=> @t160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 (tptp.c_Arrow__Order__Mirabelle_Omktop @t57 @t59)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 63.84/64.32 (assume @p54 (forall @t172 (=> @t160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t57 @t59)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 63.84/64.32 (assume @p55 (forall (@list @t58 @t59 @t57) (=> @t160 (=> @t67 (= (not @t62) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP (tptp.hAPP @t10 @t58) @t59)) @t57))))))) % 63.84/64.32 (assume @p56 (forall @t182 (= (= @t181 @t180) @t174))) % 63.84/64.32 (assume @p57 (forall @t187 (= (= @t186 @t185) @t174))) % 63.84/64.32 (assume @p58 (forall (@list @t104 @t101) (=> @t168 (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t126 @t4) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t159 @t4))))))) % 63.84/64.32 (assume @p59 (forall @t154 (= (tptp.c_Recdef_Owfrec__rel @t47 @t74 @t73 @t131 @t145 @t151) (exists @t153 (and (= @t151 @t150) @t148))))) % 63.84/64.32 (assume @p60 (forall (@list @t1 @t131 @t74 @t73 @t59 @t47) (=> (forall @t147 (=> @t188 (tptp.c_Recdef_Owfrec__rel @t47 @t74 @t73 @t131 @t142 (tptp.hAPP @t1 @t142)))) (tptp.c_Recdef_Owfrec__rel @t47 @t74 @t73 @t131 @t59 (tptp.hAPP (tptp.hAPP @t131 @t1) @t59))))) % 63.84/64.32 (assume @p61 (forall @t141 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t162 @t131) @t161)) (=> (forall @t8 (=> @t41 (forall @t32 (=> (not (= @t24 @t23)) (=> (tptp.hBOOL (tptp.hAPP @t25 @t139)) @t133))))) @t140)))) % 63.84/64.32 (assume @p62 (forall @t192 (= @t191 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t91 @t101)) @t89)) (tptp.hBOOL (tptp.hAPP @t190 @t189))))))) % 63.84/64.32 (assume @p63 (forall (@list @t101 @t89 @t104 @t47) (=> @t196 (=> @t195 @t191)))) % 63.84/64.32 (assume @p64 (forall (@list @t74 @t101 @t59 @t47 @t197 @t198) (=> (tptp.hBOOL (tptp.hAPP @t201 @t198)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t199 @t197) @t198) @t101) @t59) (tptp.hAPP @t197 @t59))))) % 63.84/64.32 (assume @p65 (forall (@list @t1 @t59 @t89 @t2 @t74 @t47) (= (= @t207 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t199 @t1) @t89) @t59)) (forall @t205 (=> @t204 (= (tptp.hAPP @t2 @t202) (tptp.hAPP @t1 @t202))))))) % 63.84/64.32 (assume @p66 (forall @t208 (= (tptp.hBOOL (tptp.hAPP @t110 (tptp.hAPP tptp.c_fequal @t58))) @t66))) % 63.84/64.32 (assume @p67 (forall (@list @t2 @t74 @t89 @t101 @t59 @t47) (=> (tptp.hBOOL (tptp.hAPP @t201 @t89)) (= (tptp.hAPP (tptp.hAPP @t206 @t101) @t59) @t209)))) % 63.84/64.32 (assume @p68 (forall @t220 (=> @t219 (=> (not @t214) @t210)))) % 63.84/64.32 (assume @p69 (forall @t220 (=> @t223 (=> @t111 (tptp.hBOOL (tptp.hAPP @t213 @t45)))))) % 63.84/64.32 (assume @p70 (forall @t220 (=> @t219 (=> @t111 @t214)))) % 63.84/64.32 (assume @p71 (forall @t227 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t226) @t225) (tptp.c_FuncSet_OPi @t47 @t47 @t51 @t224))))) % 63.84/64.32 (assume @p72 (forall @t230 (tptp.c_Recdef_Oadm__wf @t47 @t74 @t73 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t216 @t226 @t216) (tptp.hAPP (tptp.c_COMBB @t228 (tptp.tc_fun @t226 @t216) @t216 (tptp.c_COMBS @t47 @t47 @t74)) (tptp.hAPP (tptp.c_COMBB @t228 @t228 @t216 (tptp.c_COMBB @t216 @t216 @t47 @t131)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t216 @t229 @t228) @t199) @t73)))) @t225)))) % 63.84/64.32 (assume @p73 (forall (@list @t59 @t89 @t47) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t47 @t234) @t59)) @t231))) % 63.84/64.32 (assume @p74 (forall (@list @t73 @t59 @t47) (=> (not (tptp.hBOOL (tptp.hAPP @t110 @t235))) (not (forall @t147 (=> @t188 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t142) @t235)))))))) % 63.84/64.32 (assume @p75 (forall (@list @t89 @t59 @t47) (=> (forall @t205 (=> @t204 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t202) @t189)))) @t231))) % 63.84/64.32 (assume @p76 (forall (@list @t2 @t74 @t89 @t59 @t58 @t47) (and (=> @t240 (= @t237 @t241)) (=> (not @t240) (= @t237 @t236))))) % 63.84/64.32 (assume @p77 (forall @t244 (= @t243 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t4) @t101)) (tptp.hBOOL (tptp.hAPP @t242 @t4))))))) % 63.84/64.32 (assume @p78 (forall @t247 (=> @t246 (=> @t245 @t243)))) % 63.84/64.32 (assume @p79 (forall (@list @t59 @t51 @t2 @t74 @t47) (=> @t250 (=> @t210 @t248)))) % 63.84/64.32 (assume @p80 (forall @t255 (=> @t254 @t219))) % 63.84/64.32 (assume @p81 (forall @t230 (= (tptp.c_Recdef_Oadm__wf @t47 @t74 @t73 @t131) (forall (@list @t197 @t143 @t4) (=> (forall @t147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t146 @t4)) @t73)) (= (tptp.hAPP @t197 @t142) @t144))) (= (tptp.hAPP (tptp.hAPP @t131 @t197) @t4) (tptp.hAPP @t149 @t4))))))) % 63.84/64.32 (assume @p82 (forall @t255 (=> @t256 @t223))) % 63.84/64.32 (assume @p83 (forall @t262 (=> @t261 (=> @t258 @t248)))) % 63.84/64.32 (assume @p84 (forall (@list @t45 @t74 @t1 @t2 @t51 @t47) (=> (forall (@list @t264) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t264) @t51)) (= (tptp.hAPP @t2 @t264) (tptp.hAPP @t1 @t264)))) (= @t219 (tptp.hBOOL (tptp.hAPP @t263 @t215)))))) % 63.84/64.32 (assume @p85 (forall (@list @t265 @t1 @t128 @t45 @t51 @t2 @t74 @t47) (=> @t223 (=> @t268 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t47 @t128)) @t267) (tptp.c_FuncSet_OPi @t47 @t128 @t51 (tptp.c_COMBK @t266 @t47 @t265)))))))) % 63.84/64.32 (assume @p86 (forall (@list @t1 @t2 @t51 @t128 @t74 @t47) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 (tptp.c_FuncSet_Ocompose @t47 @t128 @t74 @t51 @t2 @t1)) @t249)))) % 63.84/64.32 (assume @p87 (forall (@list @t2 @t1 @t74 @t128 @t51 @t59 @t47) (=> @t111 (= (tptp.hAPP @t269 @t59) (tptp.hAPP @t1 @t209))))) % 63.84/64.32 (assume @p88 (forall @t262 (=> @t261 (=> @t257 (tptp.hBOOL (tptp.hAPP @t213 @t259)))))) % 63.84/64.32 (assume @p89 (forall (@list @t272 @t270 @t271 @t265 @t1 @t128 @t45 @t51 @t2 @t74 @t47) (=> @t223 (=> @t268 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t128 @t271)) @t270) (tptp.c_FuncSet_OPi @t128 @t271 @t265 (tptp.c_COMBK (tptp.tc_fun @t271 tptp.tc_HOL_Obool) @t128 @t272)))) (= (tptp.c_FuncSet_Ocompose @t47 @t128 @t271 @t51 @t270 @t267) (tptp.c_FuncSet_Ocompose @t47 @t74 @t271 @t51 (tptp.c_FuncSet_Ocompose @t74 @t128 @t271 @t45 @t270 @t1) @t2))))))) % 63.84/64.32 (assume @p90 (forall (@list @t45 @t51 @t1 @t74 @t47) (=> (tptp.hBOOL (tptp.hAPP @t263 @t222)) (=> @t273 (= (tptp.c_FuncSet_Ocompose @t47 @t47 @t74 @t51 @t1 (tptp.c_FuncSet_Orestrict @t47 @t47 @t225 @t51)) @t1))))) % 63.84/64.32 (assume @p91 (forall @t274 (=> @t223 (=> @t250 (= (tptp.c_FuncSet_Ocompose @t47 @t74 @t74 @t51 (tptp.c_FuncSet_Orestrict @t74 @t74 (tptp.c_COMBI @t74) @t45) @t2) @t2))))) % 63.84/64.32 (assume @p92 (forall (@list @t1 @t51 @t2 @t74 @t47) (=> @t250 (=> @t273 (=> (forall @t8 (=> @t253 @t7)) @t3))))) % 63.84/64.32 (assume @p93 (forall (@list @t259 @t173 @t74 @t47) (= @t260 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t275) (tptp.c_FuncSet_OPi @t47 @t74 @t173 (tptp.c_COMBK @t178 @t47 @t259))) (tptp.c_FuncSet_Oextensional @t47 @t74 @t173))))) % 63.84/64.32 (assume @p94 (forall (@list @t89 @t101 @t104 @t47) (=> @t278 (=> @t191 @t196)))) % 63.84/64.32 (assume @p95 (forall (@list @t104 @t89 @t101 @t47) (=> @t191 (=> @t278 @t196)))) % 63.84/64.32 (assume @p96 (forall (@list @t2 @t74 @t51 @t59 @t47) (and (=> @t111 (= @t280 @t209)) (=> @t210 (= @t280 @t236))))) % 63.84/64.32 (assume @p97 (forall (@list @t47 @t45 @t59 @t51) (=> @t114 (=> @t285 @t284)))) % 63.84/64.32 (assume @p98 (forall @t287 (=> @t284 (not (=> @t114 @t286))))) % 63.84/64.32 (assume @p99 (forall @t289 (=> @t52 (=> @t50 @t288)))) % 63.84/64.32 (assume @p100 (forall @t289 (=> @t288 (not @t55)))) % 63.84/64.32 (assume @p101 (forall @t287 (=> @t284 @t114))) % 63.84/64.32 (assume @p102 (forall @t287 (=> @t284 @t285))) % 63.84/64.32 (assume @p103 (forall @t227 (= (tptp.hAPP @t282 @t51) @t51))) % 63.84/64.32 (assume @p104 (forall @t292 (= @t283 @t291))) % 63.84/64.32 (assume @p105 (forall @t292 (= (tptp.hAPP @t282 @t283) @t283))) % 63.84/64.32 (assume @p106 (forall @t296 (= @t295 (tptp.hAPP @t290 @t293)))) % 63.84/64.32 (assume @p107 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t281 @t283) @t265) @t295))) % 63.84/64.32 (assume @p108 (forall @t289 (= @t288 (and @t52 @t50)))) % 63.84/64.32 (assume @p109 (forall @t289 (=> @t288 @t52))) % 63.84/64.32 (assume @p110 (forall @t289 (=> @t288 @t50))) % 63.84/64.32 (assume @p111 (forall @t297 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t281 @t186) @t185) @t59)) (tptp.hBOOL (tptp.hAPP @t110 (tptp.hAPP (tptp.hAPP @t281 @t73) @t173)))))) % 63.84/64.32 (assume @p112 (forall (@list @t2 @t1 @t51 @t74 @t128 @t47) (= @t269 (tptp.c_FuncSet_Orestrict @t47 @t74 (tptp.hAPP (tptp.c_COMBB @t128 @t74 @t47 @t1) @t2) @t51)))) % 63.84/64.32 (assume @p113 (forall @t299 (tptp.hBOOL (tptp.hAPP @t298 @t249)))) % 63.84/64.32 (assume @p114 (forall @t299 (=> @t250 (= @t279 @t2)))) % 63.84/64.32 (assume @p115 (forall @t192 (tptp.hBOOL (tptp.hAPP @t300 @t276)))) % 63.84/64.32 (assume @p116 (forall @t304 (=> @t303 (tptp.hBOOL (tptp.hAPP @t302 @t276))))) % 63.84/64.32 (assume @p117 (forall @t310 (=> @t195 @t309))) % 63.84/64.32 (assume @p118 (forall @t310 (=> @t312 (=> @t311 @t306)))) % 63.84/64.32 (assume @p119 (forall @t310 (=> @t312 @t309))) % 63.84/64.32 (assume @p120 (forall @t317 (=> @t316 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t315) @t2) @t1) @t59) (tptp.hAPP (tptp.hAPP @t314 @t209) @t313))))) % 63.84/64.32 (assume @p121 (forall @t255 (=> @t254 (tptp.hBOOL (tptp.hAPP @t298 @t215))))) % 63.84/64.32 (assume @p122 (forall @t321 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t320 @t181) @t180) @t59) @t58)) (tptp.hBOOL (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t318 @t73) @t173)))))) % 63.84/64.32 (assume @p123 (forall @t324 (=> @t323 (= (tptp.hAPP @t322 @t119) @t119)))) % 63.84/64.32 (assume @p124 (forall @t327 (=> @t323 (= (tptp.hAPP @t326 @t325) @t325)))) % 63.84/64.32 (assume @p125 (forall @t330 (=> @t323 (= @t329 (tptp.hAPP @t328 @t119))))) % 63.84/64.32 (assume @p126 (forall @t336 (=> @t316 @t335))) % 63.84/64.32 (assume @p127 (forall @t336 (=> @t323 @t335))) % 63.84/64.32 (assume @p128 (forall @t330 (=> @t323 (= (tptp.hAPP @t322 @t329) @t329)))) % 63.84/64.32 (assume @p129 (forall @t336 (=> @t316 @t337))) % 63.84/64.32 (assume @p130 (forall @t336 (=> @t323 @t337))) % 63.84/64.32 (assume @p131 (forall @t340 (=> @t323 (= (tptp.hAPP @t328 (tptp.hAPP @t322 @t338)) @t339)))) % 63.84/64.32 (assume @p132 (forall @t346 (=> @t316 @t345))) % 63.84/64.32 (assume @p133 (forall @t346 (=> @t323 @t345))) % 63.84/64.32 (assume @p134 (forall @t347 (=> @t323 (= (tptp.hAPP (tptp.hAPP @t314 @t329) @t338) @t339)))) % 63.84/64.32 (assume @p135 (forall @t346 (=> @t316 @t348))) % 63.84/64.32 (assume @p136 (forall @t346 (=> @t323 @t348))) % 63.84/64.32 (assume @p137 (forall @t97 (= (tptp.c_Transitive__Closure_Ortrancl @t47 @t276) @t276))) % 63.84/64.32 (assume @p138 (forall @t255 (=> @t256 (tptp.hBOOL (tptp.hAPP @t298 @t222))))) % 63.84/64.32 (assume @p139 (forall @t354 (=> (tptp.c_Relation_Osingle__valued @t47 @t47 @t89) (=> @t353 (=> @t351 (or (tptp.hBOOL (tptp.hAPP @t349 @t276)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP (tptp.hAPP @t90 @t63) @t58)) @t276)))))))) % 63.84/64.32 (assume @p140 (forall (@list @t58 @t73 @t59 @t47) (=> (not (tptp.hBOOL (tptp.hAPP @t110 (tptp.c_Relation_ODomain @t47 @t47 @t73)))) (= @t356 @t66)))) % 63.84/64.32 (assume @p141 (forall @t374 (=> @t373 (=> @t371 (=> (forall @t32 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t370 @t98)) @t367)) (forall (@list @t361 @t360) (=> @t366 (=> @t363 @t362))))) @t359))))) % 63.84/64.32 (assume @p142 (forall @t374 (=> @t373 (=> @t359 (=> (forall (@list @t24 @t23 @t361 @t360) (=> @t366 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP (tptp.hAPP @t83 @t364) @t372)) @t367)) (=> @t362 @t363)))) @t371))))) % 63.84/64.32 (assume @p143 (forall (@list @t89 @t375 @t376 @t378 @t379 @t74 @t47) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t381 @t377)) @t367)) (=> (not (= @t380 @t377)) (not (forall @t32 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t381 @t98)) @t89)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 (tptp.hAPP @t365 @t377)) @t367)))))))))) % 63.84/64.32 (assume @p144 (forall @t388 (=> @t312 (=> @t387 (=> (forall @t205 (=> @t386 (forall @t147 (=> @t385 (=> @t384 @t383))))) @t382))))) % 63.84/64.32 (assume @p145 (forall (@list @t74 @t47 @t45 @t58 @t59 @t51) (=> @t391 (=> @t390 @t389)))) % 63.84/64.32 (assume @p146 (forall @t393 (=> @t389 (not (=> @t391 @t392))))) % 63.84/64.32 (assume @p147 (forall @t393 (=> @t389 @t391))) % 63.84/64.32 (assume @p148 (forall @t393 (=> @t389 @t390))) % 63.84/64.32 (assume @p149 (forall @t398 (=> @t397 @t395))) % 63.84/64.32 (assume @p150 (forall @t400 (= @t395 (exists @t205 @t399)))) % 63.84/64.32 (assume @p151 (forall @t405 (= @t404 @t403))) % 63.84/64.32 (assume @p152 (forall (@list @t63 @t58 @t59 @t89 @t74 @t47) (=> @t404 (=> (tptp.hBOOL (tptp.hAPP @t80 @t89)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t76 @t63)) @t89)) @t68))))) % 63.84/64.32 (assume @p153 (forall @t407 (= (tptp.c_Predicate_ODomainP @t47 @t74 @t406 @t59) (tptp.hBOOL (tptp.hAPP @t110 @t394))))) % 63.84/64.32 (assume @p154 (forall @t400 (=> @t395 (not (forall @t205 (not @t399)))))) % 63.84/64.32 (assume @p155 (forall @t408 (=> @t245 (tptp.c_Predicate_ODomainP @t47 @t74 @t89 @t101)))) % 63.84/64.32 (assume @p156 (forall @t97 (= (tptp.c_Relation_Oirrefl @t47 @t89) (forall @t8 (not @t96))))) % 63.84/64.32 (assume @p157 (forall @t398 (=> @t397 (tptp.hBOOL (tptp.hAPP @t410 @t409))))) % 63.84/64.32 (assume @p158 (forall @t107 (=> @t106 (=> @t103 (tptp.hBOOL (tptp.hAPP @t194 @t411)))))) % 63.84/64.32 (assume @p159 (forall @t412 (= (tptp.hBOOL (tptp.hAPP @t352 @t411)) (and @t66 @t111)))) % 63.84/64.32 (assume @p160 (forall @t405 (=> @t403 @t404))) % 63.84/64.32 (assume @p161 (forall @t388 (=> @t312 (=> @t382 (=> (forall (@list @t202 @t142) (=> @t385 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t146 @t104)) @t276)) (=> @t383 @t384)))) @t387))))) % 63.84/64.32 (assume @p162 (forall @t227 (= (tptp.c_Relation_ORange @t47 @t47 @t411) @t51))) % 63.84/64.32 (assume @p163 (forall @t227 (= (tptp.c_Relation_ODomain @t47 @t47 @t411) @t51))) % 63.84/64.32 (assume @p164 (forall @t227 (tptp.c_Relation_Osingle__valued @t47 @t47 @t411))) % 63.84/64.32 (assume @p165 (forall @t400 (= (tptp.hBOOL (tptp.hAPP @t102 @t416)) (exists @t205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t415 (tptp.hAPP (tptp.hAPP @t413 @t202) @t101)) @t89)))))) % 63.84/64.32 (assume @p166 (forall @t407 (= (tptp.c_Predicate_ORangeP @t47 @t74 @t406 @t59) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t59) @t409))))) % 63.84/64.32 (assume @p167 (forall (@list @t51 @t46 @t47) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 @t46) @t411)) (not (forall @t8 (=> @t253 (not (= @t46 @t92)))))))) % 63.84/64.32 (assume @p168 (forall (@list @t89 @t74 @t104 @t47) (=> (tptp.hBOOL (tptp.hAPP @t105 @t416)) (not (forall @t8 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t415 (tptp.hAPP (tptp.hAPP @t413 @t4) @t104)) @t89)))))))) % 63.84/64.32 (assume @p169 (forall @t417 (=> @t312 (=> @t168 (not (forall @t205 (=> @t386 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t203 @t104)) @t89)))))))))) % 63.84/64.32 (assume @p170 (forall (@list @t89 @t63 @t59 @t47) (=> @t351 (=> @t65 (not (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t200 @t202)) @t89)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t203 @t63)) @t276)))))))))) % 63.84/64.32 (assume @p171 (forall @t408 (=> @t245 (tptp.c_Predicate_ORangeP @t47 @t74 @t89 @t104)))) % 63.84/64.32 (assume @p172 (forall (@list @t151 @t89 @t74 @t47) (= (tptp.c_Predicate_ORangeP @t47 @t74 @t89 @t151) (exists (@list @t24) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t24) @t151)))))) % 63.84/64.32 (assume @p173 (forall @t420 (= (tptp.c_Relation_Ototal__on @t47 @t51 @t89) (forall @t8 (=> @t253 (forall @t39 (=> (tptp.hBOOL (tptp.hAPP @t419 @t51)) (=> @t418 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t91 @t21)) @t89)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP (tptp.hAPP @t90 @t21) @t4)) @t89))))))))))) % 63.84/64.32 (assume @p174 (forall (@list @t2 @t89 @t74 @t58 @t59 @t47) (= (tptp.hBOOL (tptp.hAPP @t352 (tptp.c_Relation_Oinv__image @t74 @t47 @t89 @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t85 @t209) @t241)) @t89))))) % 63.84/64.32 (assume @p175 (forall @t423 (=> @t422 (=> @t421 @t109)))) % 63.84/64.32 (assume @p176 (forall @t423 (=> @t422 (=> @t421 @t111)))) % 63.84/64.32 (assume @p177 (forall (@list @t101 @t89 @t51 @t47) (=> @t422 (=> @t103 (tptp.hBOOL (tptp.hAPP @t300 @t89)))))) % 63.84/64.32 (assume @p178 (forall @t227 (tptp.c_Relation_Orefl__on @t47 @t51 @t411))) % 63.84/64.32 (assume @p179 (forall @t425 (=> @t422 (=> @t424 (tptp.c_Relation_Orefl__on @t47 @t283 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t229) @t89) @t135)))))) % 63.84/64.32 (assume @p180 (forall @t417 (=> @t427 @t312))) % 63.84/64.32 (assume @p181 (forall @t431 (tptp.c_Orderings_Oord__class_Oless__eq @t183 (tptp.c_Relation_ORange @t74 @t47 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t430) @t51) @t45)) (tptp.hAPP (tptp.hAPP @t281 @t429) @t428)))) % 63.84/64.32 (assume @p182 (forall @t431 (tptp.c_Orderings_Oord__class_Oless__eq @t183 (tptp.c_Relation_ODomain @t47 @t74 (tptp.hAPP (tptp.hAPP @t318 @t51) @t45)) (tptp.hAPP (tptp.hAPP @t281 @t433) @t432)))) % 63.84/64.32 (assume @p183 (forall (@list @t379 @t59 @t89 @t47) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp @t47 @t234) @t59) @t379)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t200 @t379)) @t276))))) % 63.84/64.32 (assume @p184 (forall (@list @t59 @t131 @t73 @t47 @t74) (= (tptp.c_Nitpick_Owf__wfrec_H @t74 @t47 @t73 @t131 @t59) (tptp.hAPP (tptp.hAPP @t131 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut @t74 @t47) (tptp.c_Nitpick_Owf__wfrec @t74 @t47 @t73 @t131)) @t73) @t59)) @t59)))) % 63.84/64.32 (assume @p185 (forall @t292 (=> @t435 (=> @t434 @t56)))) % 63.84/64.32 (assume @p186 (forall (@list @t47 @t58 @t59 @t89) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t59) @t58)) @t438))) % 63.84/64.32 (assume @p187 (forall @t244 (tptp.hBOOL (tptp.hAPP @t439 @t101)))) % 63.84/64.32 (assume @p188 (forall (@list @t46 @t45 @t51 @t47) (=> @t435 @t440))) % 63.84/64.32 (assume @p189 (forall @t417 (=> @t195 @t427))) % 63.84/64.32 (assume @p190 (forall @t304 (=> @t303 @t441))) % 63.84/64.32 (assume @p191 (forall (@list @t45 @t74 @t51 @t442 @t47) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t442 @t51) (tptp.c_Orderings_Oord__class_Oless__eq @t275 @t215 (tptp.c_FuncSet_OPi @t47 @t74 @t442 @t45))))) % 63.84/64.32 (assume @p192 (forall @t443 (=> @t56 (not (=> @t435 (not @t434)))))) % 63.84/64.32 (assume @p193 (forall @t296 (=> @t435 (=> @t445 @t444)))) % 63.84/64.32 (assume @p194 (forall @t443 (=> @t56 @t434))) % 63.84/64.32 (assume @p195 (forall @t443 (=> @t56 @t435))) % 63.84/64.32 (assume @p196 (forall @t443 (= @t56 (and @t435 @t434)))) % 63.84/64.32 (assume @p197 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t51))) % 63.84/64.32 (assume @p198 (forall (@list @t59 @t446 @t81 @t47) (=> @t449 (=> @t88 @t448)))) % 63.84/64.32 (assume @p199 (forall (@list @t446 @t47 @t59 @t81) (=> @t88 (=> @t449 @t448)))) % 63.84/64.32 (assume @p200 (forall @t452 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t450 @t451) (tptp.c_Orderings_Oord__class_Oless__eq @t183 (tptp.c_Wellfounded_Oacc @t47 @t451) (tptp.c_Wellfounded_Oacc @t47 @t450))))) % 63.84/64.32 (assume @p201 (forall @t354 (=> @t438 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t436 @t58) @t63)) (tptp.hBOOL (tptp.hAPP @t437 @t63)))))) % 63.84/64.32 (assume @p202 (forall (@list @t46 @t104 @t101 @t89 @t47) (=> (tptp.hBOOL (tptp.hAPP @t439 @t104)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t104) @t46)) @t453)))) % 63.84/64.32 (assume @p203 (forall (@list @t46 @t47 @t104 @t101 @t89) (=> @t245 (=> (tptp.hBOOL (tptp.hAPP @t454 @t46)) @t453)))) % 63.84/64.32 (assume @p204 (forall (@list @t455 @t145 @t89 @t47) (= (tptp.hBOOL (tptp.hAPP @t456 @t455)) (or (= @t455 @t145) (exists (@list @t23) (and (tptp.hBOOL (tptp.hAPP @t456 @t23)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t23) @t455)))))))) % 63.84/64.32 (assume @p205 (forall @t97 (= (tptp.c_Transitive__Closure_Ortranclp @t47 @t436) @t436))) % 63.84/64.32 (assume @p206 (forall (@list @t135 @t89 @t301 @t47) (=> @t441 (=> @t457 (tptp.hBOOL (tptp.hAPP @t302 (tptp.c_Transitive__Closure_Otrancl @t47 @t135))))))) % 63.84/64.32 (assume @p207 (forall @t459 (=> @t458 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t394 (tptp.c_Relation_ODomain @t47 @t74 @t135))))) % 63.84/64.32 (assume @p208 (forall @t287 (=> @t435 (=> @t111 @t112)))) % 63.84/64.32 (assume @p209 (forall @t460 (=> @t111 (=> @t435 @t112)))) % 63.84/64.32 (assume @p210 (forall @t464 (=> @t323 (=> @t463 (not (=> @t462 (not @t461))))))) % 63.84/64.32 (assume @p211 (forall @t468 (=> @t323 (=> @t467 (=> @t466 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t329 (tptp.hAPP (tptp.hAPP @t314 @t338) @t465))))))) % 63.84/64.32 (assume @p212 (forall @t346 (=> @t323 (=> @t470 (=> @t469 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t343)))))) % 63.84/64.32 (assume @p213 (forall @t464 (=> @t323 (=> @t462 (=> @t461 @t463))))) % 63.84/64.32 (assume @p214 (forall @t472 (=> @t323 (=> @t471 (= @t334 @t331))))) % 63.84/64.32 (assume @p215 (forall @t336 (=> @t323 (=> @t470 (= @t334 @t325))))) % 63.84/64.32 (assume @p216 (forall (@list @t119 @t325 @t117 @t47) (=> @t323 (=> @t474 @t473)))) % 63.84/64.32 (assume @p217 (forall @t476 (=> @t323 (=> @t475 @t473)))) % 63.84/64.32 (assume @p218 (forall @t479 (=> @t323 (= (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t59 (tptp.hAPP (tptp.hAPP @t314 @t58) @t63)) (and @t478 @t477))))) % 63.84/64.32 (assume @p219 (forall @t208 (=> @t323 (= @t478 (= (tptp.hAPP (tptp.hAPP @t314 @t59) @t58) @t59))))) % 63.84/64.32 (assume @p220 (forall @t336 (=> @t323 @t480))) % 63.84/64.32 (assume @p221 (forall @t336 (=> @t316 @t480))) % 63.84/64.32 (assume @p222 (forall @t336 (=> @t323 @t481))) % 63.84/64.32 (assume @p223 (forall @t336 (=> @t316 @t481))) % 63.84/64.32 (assume @p224 (forall @t483 (= (tptp.c_Transitive__Closure_Ortrancl @t47 @t482) @t355))) % 63.84/64.32 (assume @p225 (forall @t483 (= (tptp.c_Transitive__Closure_Otrancl @t47 @t355) @t355))) % 63.84/64.32 (assume @p226 (forall @t486 (=> @t444 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t283 (tptp.hAPP @t484 @t272)))))) % 63.84/64.32 (assume @p227 (forall (@list @t45 @t51 @t265 @t47) (=> @t487 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t265 @t45) (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t265 @t283))))) % 63.84/64.32 (assume @p228 (forall @t488 (=> @t434 (= @t283 @t45)))) % 63.84/64.32 (assume @p229 (forall @t292 (=> @t435 (= @t283 @t51)))) % 63.84/64.32 (assume @p230 (forall @t292 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t283 @t45))) % 63.84/64.32 (assume @p231 (forall @t292 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t283 @t51))) % 63.84/64.32 (assume @p232 (forall @t491 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t89 @t489) @t490))) % 63.84/64.32 (assume @p233 (forall @t187 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t73 @t173) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t173 @t355) (= @t492 @t355))))) % 63.84/64.32 (assume @p234 (forall @t491 (=> @t457 @t490))) % 63.84/64.32 (assume @p235 (forall @t97 (= (tptp.c_Relation_ODomain @t47 @t47 @t426) @t493))) % 63.84/64.32 (assume @p236 (forall @t97 (= (tptp.c_Relation_ORange @t47 @t47 @t426) @t494))) % 63.84/64.32 (assume @p237 (forall @t247 (=> @t495 (=> @t243 @t246)))) % 63.84/64.32 (assume @p238 (forall (@list @t104 @t101 @t89 @t47) (=> @t243 (=> @t495 @t246)))) % 63.84/64.32 (assume @p239 (forall @t459 (=> @t458 (=> (tptp.c_Relation_Osingle__valued @t47 @t74 @t135) @t404)))) % 63.84/64.32 (assume @p240 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t186 @t185) (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t73 @t173)))) % 63.84/64.33 (assume @p241 (forall @t97 (= (tptp.c_Transitive__Closure_Ortranclp @t47 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t496) @t89) (tptp.hAPP (tptp.c_COMBB @t183 @t183 @t47 (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t47 tptp.c_fNot)) tptp.c_fequal))) @t436))) % 63.84/64.33 (assume @p242 (forall @t310 (=> @t427 @t498))) % 63.84/64.33 (assume @p243 (forall @t310 (=> @t427 @t499))) % 63.84/64.33 (assume @p244 (forall @t310 (=> @t195 @t498))) % 63.84/64.33 (assume @p245 (forall (@list @t46 @t73 @t104 @t101 @t47) (=> (tptp.hBOOL (tptp.hAPP @t194 @t73)) (=> (tptp.hBOOL (tptp.hAPP @t307 @t73)) (tptp.hBOOL (tptp.hAPP @t305 @t482)))))) % 63.84/64.33 (assume @p246 (forall @t274 (=> @t250 (=> @t435 (tptp.hBOOL (tptp.hAPP @t218 (tptp.c_FuncSet_Oextensional @t47 @t74 @t45))))))) % 63.84/64.33 (assume @p247 (forall @t501 (= @t356 (or @t66 (and @t67 @t500))))) % 63.84/64.33 (assume @p248 (forall @t310 (=> @t195 @t502))) % 63.84/64.33 (assume @p249 (forall (@list @t73 @t104 @t101 @t47) (=> (tptp.hBOOL (tptp.hAPP @t194 @t355)) (or @t106 (and @t168 (tptp.hBOOL (tptp.hAPP @t194 @t482))))))) % 63.84/64.33 (assume @p250 (forall @t310 (=> @t312 @t499))) % 63.84/64.33 (assume @p251 (forall @t310 (=> @t427 @t502))) % 63.84/64.33 (assume @p252 (forall (@list @t63 @t89 @t58 @t59 @t47) (=> @t353 (=> (tptp.hBOOL (tptp.hAPP @t349 @t426)) (tptp.hBOOL (tptp.hAPP @t350 @t426)))))) % 63.84/64.33 (assume @p253 (forall @t327 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t325 @t325)))) % 63.84/64.33 (assume @p254 (forall (@list @t1 @t2 @t47 @t74) (=> @t505 (= @t504 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t74 @t6 @t5)))))) % 63.84/64.33 (assume @p255 (forall (@list @t59 @t1 @t2 @t47 @t74) (=> @t505 (=> @t504 (tptp.c_Orderings_Oord__class_Oless__eq @t74 @t209 @t313))))) % 63.84/64.33 (assume @p256 (forall @t501 (=> @t500 (exists @t147 (and (tptp.hBOOL (tptp.hAPP @t507 @t355)) (tptp.hBOOL (tptp.hAPP @t506 @t73))))))) % 63.84/64.33 (assume @p257 (forall @t491 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t496 @t89 @t135) (tptp.c_Orderings_Oord__class_Oless__eq @t496 @t436 (tptp.c_Transitive__Closure_Ortranclp @t47 @t135))))) % 63.84/64.33 (assume @p258 (forall @t187 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t496 @t73 @t173) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t496 @t173 @t508) (= @t509 @t508))))) % 63.84/64.33 (assume @p259 (forall @t452 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t496 @t450 @t451) (tptp.c_Orderings_Oord__class_Oless__eq @t183 (tptp.c_Wellfounded_Oaccp @t47 @t451) (tptp.c_Wellfounded_Oaccp @t47 @t450))))) % 63.84/64.33 (assume @p260 (forall @t182 (= (tptp.c_Orderings_Oord__class_Oless__eq @t319 @t181 @t180) (tptp.c_Orderings_Oord__class_Oless__eq @t175 @t73 @t173)))) % 63.84/64.33 (assume @p261 (forall @t336 (=> @t510 (=> (not @t470) @t471)))) % 63.84/64.33 (assume @p262 (forall @t513 (=> @t512 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t341 @t331) @t511))))) % 63.84/64.33 (assume @p263 (forall @t472 (=> @t512 (=> @t471 (=> @t470 @t514))))) % 63.84/64.33 (assume @p264 (forall @t346 (=> @t503 (=> @t470 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t331 @t341) @t469))))) % 63.84/64.33 (assume @p265 (forall @t336 (=> @t512 (=> @t470 (=> @t471 @t514))))) % 63.84/64.33 (assume @p266 (forall @t340 (=> @t512 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t117 @t119) (=> @t516 @t515))))) % 63.84/64.33 (assume @p267 (forall @t347 (=> @t517 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t119 @t117) (=> @t516 @t467))))) % 63.84/64.33 (assume @p268 (forall @t347 (=> @t512 (=> @t518 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t338 @t117) @t515))))) % 63.84/64.33 (assume @p269 (forall @t347 (=> @t517 (=> @t518 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t117 @t338) @t467))))) % 63.84/64.33 (assume @p270 (forall (@list @t59 @t58 @t47) (=> @t512 (=> @t519 (= @t478 @t66))))) % 63.84/64.33 (assume @p271 (forall @t336 (=> @t503 (=> @t514 @t470)))) % 63.84/64.33 (assume @p272 (forall @t208 (=> @t512 (= @t66 (and @t478 @t519))))) % 63.84/64.33 (assume @p273 (forall @t336 (=> @t510 (or @t470 @t471)))) % 63.84/64.33 (assume @p274 (forall (@list @t73 @t47 @t58 @t59 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t241) (=> (tptp.hBOOL (tptp.hAPP @t352 @t73)) (tptp.hBOOL (tptp.hAPP @t352 @t520)))))) % 63.84/64.33 (assume @p275 (forall (@list @t265 @t45 @t74 @t51 @t47) (=> (forall @t8 (=> @t253 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t251 (tptp.hAPP @t265 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t275 @t215 (tptp.c_FuncSet_OPi @t47 @t74 @t51 @t265))))) % 63.84/64.33 (assume @p276 (forall @t501 (=> @t500 (exists @t147 (and (tptp.hBOOL (tptp.hAPP @t507 @t73)) (tptp.hBOOL (tptp.hAPP @t506 @t355))))))) % 63.84/64.33 (assume @p277 (forall @t97 (= @t522 @t521))) % 63.84/64.33 (assume @p278 (forall (@list @t446 @t74 @t47 @t58 @t59 @t81) (=> @t525 (=> @t524 @t523)))) % 63.84/64.33 (assume @p279 (forall (@list @t58 @t59 @t446 @t81 @t74 @t47) (=> @t524 (=> @t525 @t523)))) % 63.84/64.33 (assume @p280 (forall (@list @t89 @t135 @t47) (=> (tptp.c_Wellfounded_Oacyclic @t47 @t135) (=> @t457 @t522)))) % 63.84/64.33 (assume @p281 (forall @t97 (=> @t521 @t522))) % 63.84/64.33 (assume @p282 (forall (@list @t51 @t89 @t104 @t101 @t47) (=> @t312 (=> @t528 @t526)))) % 63.84/64.33 (assume @p283 (forall (@list @t89 @t59 @t58 @t47) (= (tptp.c_Wellfounded_Oacyclic @t47 (tptp.c_Set_Oinsert @t93 @t239 @t89)) (and @t522 (not @t353))))) % 63.84/64.33 (assume @p284 (forall @t532 (=> (=> (not @t531) @t106) @t530))) % 63.84/64.33 (assume @p285 (forall @t534 (=> @t533 (=> @t168 @t103)))) % 63.84/64.33 (assume @p286 (forall (@list @t45 @t104 @t74 @t51 @t101 @t47) (=> @t103 (=> @t537 @t536)))) % 63.84/64.33 (assume @p287 (forall (@list @t101 @t272 @t265 @t47) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t265 @t272) (tptp.c_Orderings_Oord__class_Oless__eq @t183 (tptp.c_Set_Oinsert @t47 @t101 @t265) (tptp.c_Set_Oinsert @t47 @t101 @t272))))) % 63.84/64.33 (assume @p288 (forall (@list @t104 @t45 @t51 @t47) (=> @t435 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t529)))) % 63.84/64.33 (assume @p289 (forall (@list @t101 @t45 @t47) (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t45 @t538))) % 63.84/64.33 (assume @p290 (forall @t541 (= (tptp.hAPP (tptp.hAPP @t281 @t540) @t538) @t539))) % 63.84/64.33 (assume @p291 (forall @t542 (=> @t103 (= @t540 @t51)))) % 63.84/64.33 (assume @p292 (forall @t532 (=> @t531 @t530))) % 63.84/64.33 (assume @p293 (forall @t460 (=> @t210 (=> (not @t112) (= (= @t544 @t543) @t56))))) % 63.84/64.33 (assume @p294 (forall @t534 (= @t533 @t526))) % 63.84/64.33 (assume @p295 (forall (@list @t45 @t101 @t47) (tptp.hBOOL (tptp.hAPP @t102 @t538)))) % 63.84/64.33 (assume @p296 (forall @t115 (= (tptp.c_Set_Oinsert @t47 @t59 @t544) @t544))) % 63.84/64.33 (assume @p297 (forall @t412 (= (tptp.c_Set_Oinsert @t47 @t59 @t545) (tptp.c_Set_Oinsert @t47 @t58 @t544)))) % 63.84/64.33 (assume @p298 (forall (@list @t59 @t51 @t58 @t47) (= (tptp.hBOOL (tptp.hAPP @t545 @t59)) (or (= @t58 @t59) @t114)))) % 63.84/64.33 (assume @p299 (forall @t398 (= (tptp.c_Relation_ODomain @t47 @t74 (tptp.c_Set_Oinsert @t78 @t125 @t89)) (tptp.c_Set_Oinsert @t47 @t101 @t394)))) % 63.84/64.33 (assume @p300 (forall (@list @t89 @t104 @t101 @t47 @t74) (= (tptp.c_Relation_ORange @t74 @t47 (tptp.c_Set_Oinsert @t414 (tptp.hAPP (tptp.hAPP @t413 @t101) @t104) @t89)) (tptp.c_Set_Oinsert @t47 @t104 @t416)))) % 63.84/64.33 (assume @p301 (forall @t550 (=> @t549 (= (= @t548 @t547) @t56)))) % 63.84/64.33 (assume @p302 (forall @t460 (= (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t544 @t45) (and @t112 @t435)))) % 63.84/64.33 (assume @p303 (forall @t460 (=> @t210 (= (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t543) @t435)))) % 63.84/64.33 (assume @p304 (forall @t541 (and @t554 @t553))) % 63.84/64.33 (assume @p305 (forall @t559 (and @t558 @t557))) % 63.84/64.33 (assume @p306 (forall @t541 @t553)) % 63.84/64.33 (assume @p307 (forall @t559 @t557)) % 63.84/64.33 (assume @p308 (forall @t541 @t554)) % 63.84/64.33 (assume @p309 (forall @t559 @t558)) % 63.84/64.33 (assume @p310 (forall @t560 (=> @t528 (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t426 @t527)))) % 63.84/64.33 (assume @p311 (forall @t566 (= (tptp.c_Product__Type_OSigma @t47 @t74 @t561 (tptp.hAPP (tptp.hAPP @t565 (tptp.hAPP (tptp.c_COMBB @t178 @t564 @t47 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t178)) @t51)) @t45)) (tptp.hAPP (tptp.hAPP @t318 @t563) @t562)))) % 63.84/64.33 (assume @p312 (forall @t570 (= (tptp.c_Product__Type_OSigma @t47 @t74 @t283 @t567) (tptp.hAPP (tptp.hAPP @t318 @t569) @t568)))) % 63.84/64.33 (assume @p313 (forall @t574 (= (tptp.c_Product__Type_OSigma @t47 @t74 (tptp.hAPP (tptp.hAPP @t281 @t561) @t571) @t265) (tptp.hAPP (tptp.hAPP @t318 @t573) @t572)))) % 63.84/64.33 (assume @p314 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t411 @t527))) % 63.84/64.33 (assume @p315 (forall @t575 (= @t536 (and @t103 @t537)))) % 63.84/64.33 (assume @p316 (forall @t575 (=> @t536 @t103))) % 63.84/64.33 (assume @p317 (forall @t575 (=> @t536 @t537))) % 63.84/64.33 (assume @p318 (forall @t575 (=> @t536 (not (=> @t103 (not @t537)))))) % 63.84/64.33 (assume @p319 (forall @t550 (=> @t549 (= (tptp.c_Orderings_Oord__class_Oless__eq @t430 @t548 @t547) (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t51 @t45))))) % 63.84/64.33 (assume @p320 (forall @t420 (= @t422 (and @t528 @t576)))) % 63.84/64.33 (assume @p321 (forall @t560 (=> @t528 (=> @t576 @t422)))) % 63.84/64.33 (assume @p322 (forall (@list @t259 @t2 @t74 @t173 @t59 @t47) (=> @t258 (=> (tptp.hBOOL (tptp.hAPP @t218 (tptp.c_FuncSet_Oextensional__funcset @t47 @t74 (tptp.c_Set_Oinsert @t47 @t59 @t173) @t259))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 (tptp.c_Fun_Ofun__upd @t47 @t74 @t2 @t59 @t236)) @t260)))))) % 63.84/64.33 (assume @p323 (forall (@list @t45 @t51 @t46 @t74 @t47) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t46) @t535)) (not (forall @t8 (=> @t253 (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t202) @t251)) (not (= @t46 @t402)))))))))) % 63.84/64.33 (assume @p324 (forall (@list @t59 @t173 @t2 @t74 @t259 @t58 @t47) (=> (tptp.hBOOL (tptp.hAPP @t108 @t259)) (=> (tptp.hBOOL (tptp.hAPP @t580 (tptp.c_FuncSet_Oextensional__funcset @t74 @t47 @t173 @t259))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t579 @t578) @t577)))))) % 63.84/64.33 (assume @p325 (forall (@list @t59 @t2 @t74 @t47) (= (tptp.c_Fun_Ofun__upd @t47 @t74 @t2 @t59 @t209) @t2))) % 63.84/64.33 (assume @p326 (forall (@list @t272 @t45 @t74 @t265 @t51 @t47) (=> @t444 (=> (forall @t8 (=> @t253 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t251 (tptp.hAPP @t272 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t175 @t535 (tptp.c_Product__Type_OSigma @t47 @t74 @t265 @t272)))))) % 63.84/64.33 (assume @p327 (forall (@list @t104 @t2 @t74 @t47 @t101 @t59) (and (=> @t166 (= @t581 @t104)) (=> @t170 (= @t581 @t209))))) % 63.84/64.33 (assume @p328 (forall (@list @t47 @t74 @t58 @t59 @t2) (=> @t582 (= @t578 @t2)))) % 63.84/64.33 (assume @p329 (forall @t587 @t586)) % 63.84/64.33 (assume @p330 (forall (@list @t588 @t104 @t589 @t74 @t47 @t46 @t101) (=> (not @t590) (= (tptp.c_Fun_Ofun__upd @t47 @t74 (tptp.c_Fun_Ofun__upd @t47 @t74 @t589 @t101 @t104) @t46 @t588) (tptp.c_Fun_Ofun__upd @t47 @t74 (tptp.c_Fun_Ofun__upd @t47 @t74 @t589 @t46 @t588) @t101 @t104))))) % 63.84/64.33 (assume @p331 (forall @t587 (and (=> @t585 (= @t584 @t58)) @t586))) % 63.84/64.33 (assume @p332 (forall (@list @t58 @t59 @t2 @t47 @t74) (= (tptp.hAPP @t578 @t59) @t58))) % 63.84/64.33 (assume @p333 (forall (@list @t63 @t58 @t59 @t2 @t74 @t47) (= (tptp.c_Fun_Ofun__upd @t47 @t74 @t583 @t59 @t63) (tptp.c_Fun_Ofun__upd @t47 @t74 @t2 @t59 @t63)))) % 63.84/64.33 (assume @p334 (forall (@list @t58 @t59 @t2 @t74 @t47) (= (= @t583 @t2) @t582))) % 63.84/64.33 (assume @p335 (forall (@list @t45 @t104 @t51 @t101 @t74 @t47) (= (tptp.c_Product__Type_OSigma @t47 @t74 @t540 @t591) (tptp.c_Set_Oinsert @t78 @t125 (tptp.hAPP (tptp.hAPP @t592 (tptp.c_Product__Type_OSigma @t47 @t74 @t51 @t591)) (tptp.c_Product__Type_OSigma @t47 @t74 @t540 @t221)))))) % 63.84/64.33 (assume @p336 (forall @t97 (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t426 (tptp.c_Product__Type_OSigma @t47 @t47 @t593 (tptp.c_COMBK @t183 @t47 @t593))))) % 63.84/64.33 (assume @p337 (forall (@list @t73 @t2 @t47) (= @t520 (tptp.c_Relation_Oinv__image @t594 @t47 (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t47 tptp.c_Wellfounded_Oless__than @t73) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t47 @t47 @t594) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t47 @t594) @t47 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t47)) @t2)) @t225))))) % 63.84/64.33 (assume @p338 (forall (@list @t47 @t51 @t59 @t45) (=> (=> @t286 @t114) @t598))) % 63.84/64.33 (assume @p339 (forall @t287 (=> @t598 (=> (not @t114) @t285)))) % 63.84/64.33 (assume @p340 (forall @t289 (=> @t599 @t53))) % 63.84/64.33 (assume @p341 (forall @t600 (=> (=> @t54 @t52) @t599))) % 63.84/64.33 (assume @p342 (forall @t566 (= (tptp.c_Product__Type_OSigma @t47 @t74 @t561 (tptp.hAPP (tptp.hAPP @t565 (tptp.hAPP (tptp.c_COMBB @t178 @t564 @t47 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t178)) @t51)) @t45)) (tptp.hAPP (tptp.hAPP @t592 @t563) @t562)))) % 63.84/64.33 (assume @p343 (forall @t570 (= (tptp.c_Product__Type_OSigma @t47 @t74 @t597 @t567) (tptp.hAPP (tptp.hAPP @t592 @t569) @t568)))) % 63.84/64.33 (assume @p344 (forall @t574 (= (tptp.c_Product__Type_OSigma @t47 @t74 (tptp.hAPP (tptp.hAPP @t595 @t561) @t571) @t265) (tptp.hAPP (tptp.hAPP @t592 @t573) @t572)))) % 63.84/64.33 (assume @p345 (forall @t187 (= (tptp.c_Transitive__Closure_Ortrancl @t47 @t603) @t602))) % 63.84/64.33 (assume @p346 (forall @t97 (= @t593 (tptp.hAPP (tptp.hAPP @t595 @t493) @t494)))) % 63.84/64.33 (assume @p347 (forall @t297 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t595 @t186) @t185) @t59)) (tptp.hBOOL (tptp.hAPP @t110 (tptp.hAPP (tptp.hAPP @t595 @t73) @t173)))))) % 63.84/64.33 (assume @p348 (forall @t425 (=> @t422 (=> @t424 (tptp.c_Relation_Orefl__on @t47 @t597 @t604))))) % 63.84/64.33 (assume @p349 (forall (@list @t45 @t51 @t47 @t74) (= (tptp.c_Relation_ORange @t74 @t47 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t430) @t51) @t45)) (tptp.hAPP (tptp.hAPP @t595 @t429) @t428)))) % 63.84/64.33 (assume @p350 (forall @t608 (= (forall @t8 (=> @t607 @t605)) (and (forall @t8 (=> @t253 @t605)) (forall @t8 (=> @t606 @t605)))))) % 63.84/64.33 (assume @p351 (forall @t608 (= (exists @t8 (and @t607 @t605)) (or (exists @t8 (and @t253 @t605)) (exists @t8 (and @t606 @t605)))))) % 63.84/64.33 (assume @p352 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t595 @t597) @t265) @t611))) % 63.84/64.33 (assume @p353 (forall @t296 (= @t611 (tptp.hAPP @t609 @t612)))) % 63.84/64.33 (assume @p354 (forall @t292 (= (tptp.hAPP @t596 @t597) @t597))) % 63.84/64.33 (assume @p355 (forall @t292 (= @t597 @t613))) % 63.84/64.33 (assume @p356 (forall @t227 (= (tptp.hAPP @t596 @t51) @t51))) % 63.84/64.33 (assume @p357 (forall (@list @t51 @t47 @t59 @t45) (=> @t285 @t598))) % 63.84/64.33 (assume @p358 (forall (@list @t45 @t47 @t59 @t51) (=> @t114 @t598))) % 63.84/64.33 (assume @p359 (forall @t317 (=> @t316 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t315) @t2) @t1) @t59) (tptp.hAPP (tptp.hAPP @t614 @t209) @t313))))) % 63.84/64.33 (assume @p360 (forall @t346 (=> @t621 @t620))) % 63.84/64.33 (assume @p361 (forall @t346 (=> @t316 @t620))) % 63.84/64.33 (assume @p362 (forall @t347 (=> @t621 (= (tptp.hAPP (tptp.hAPP @t614 @t625) @t338) @t624)))) % 63.84/64.33 (assume @p363 (forall @t346 (=> @t621 @t627))) % 63.84/64.33 (assume @p364 (forall @t346 (=> @t316 @t627))) % 63.84/64.33 (assume @p365 (forall @t340 (=> @t621 (= (tptp.hAPP @t622 (tptp.hAPP @t623 @t338)) @t624)))) % 63.84/64.33 (assume @p366 (forall @t336 (=> @t621 @t628))) % 63.84/64.33 (assume @p367 (forall @t336 (=> @t316 @t628))) % 63.84/64.33 (assume @p368 (forall @t330 (=> @t621 (= (tptp.hAPP @t623 @t625) @t625)))) % 63.84/64.33 (assume @p369 (forall @t336 (=> @t621 @t630))) % 63.84/64.33 (assume @p370 (forall @t336 (=> @t316 @t630))) % 63.84/64.33 (assume @p371 (forall @t330 (=> @t621 (= @t625 (tptp.hAPP @t622 @t119))))) % 63.84/64.33 (assume @p372 (forall @t327 (=> @t621 (= (tptp.hAPP @t617 @t325) @t325)))) % 63.84/64.33 (assume @p373 (forall @t324 (=> @t621 (= (tptp.hAPP @t623 @t119) @t119)))) % 63.84/64.33 (assume @p374 (forall @t491 (= (tptp.c_Relation_OField @t47 @t604) (tptp.hAPP (tptp.hAPP @t595 @t593) @t631)))) % 63.84/64.33 (assume @p375 (forall @t431 (= (tptp.c_Relation_ODomain @t47 @t74 (tptp.hAPP (tptp.hAPP @t592 @t51) @t45)) (tptp.hAPP (tptp.hAPP @t595 @t433) @t432)))) % 63.84/64.33 (assume @p376 (forall @t289 (= @t599 (or @t52 @t50)))) % 63.84/64.33 (assume @p377 (forall @t289 (=> @t52 @t599))) % 63.84/64.33 (assume @p378 (forall @t600 (=> @t50 @t599))) % 63.84/64.33 (assume @p379 (forall @t336 (=> @t316 (= (tptp.hAPP @t326 @t619) @t325)))) % 63.84/64.33 (assume @p380 (forall @t336 (=> @t316 (= (tptp.hAPP @t617 @t334) @t325)))) % 63.84/64.33 (assume @p381 (forall @t346 (=> @t634 (= @t633 @t632)))) % 63.84/64.33 (assume @p382 (forall @t346 (=> @t634 (= @t636 @t635)))) % 63.84/64.33 (assume @p383 (forall @t637 (=> @t634 (= (tptp.hAPP (tptp.hAPP @t314 @t616) @t325) (tptp.hAPP (tptp.hAPP @t614 @t333) (tptp.hAPP (tptp.hAPP @t314 @t341) @t325)))))) % 63.84/64.33 (assume @p384 (forall @t637 (=> @t634 (= (tptp.hAPP (tptp.hAPP @t614 @t343) @t325) (tptp.hAPP (tptp.hAPP @t314 @t629) (tptp.hAPP (tptp.hAPP @t614 @t341) @t325)))))) % 63.84/64.33 (assume @p385 (forall @t296 (= @t639 (tptp.hAPP @t638 @t293)))) % 63.84/64.33 (assume @p386 (forall @t296 (= (tptp.hAPP @t596 @t294) (tptp.hAPP @t640 @t612)))) % 63.84/64.33 (assume @p387 (forall @t642 (= (tptp.hAPP (tptp.hAPP @t281 @t610) @t51) (tptp.hAPP (tptp.hAPP @t595 @t291) @t641)))) % 63.84/64.33 (assume @p388 (forall @t642 (= (tptp.hAPP (tptp.hAPP @t595 @t294) @t51) (tptp.hAPP (tptp.hAPP @t281 @t613) @t644)))) % 63.84/64.33 (assume @p389 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t595 (tptp.hAPP @t638 @t294)) @t641) (tptp.hAPP (tptp.hAPP @t281 (tptp.hAPP @t640 @t610)) @t644)))) % 63.84/64.33 (assume @p390 (forall @t336 (=> @t316 @t645))) % 63.84/64.33 (assume @p391 (forall @t336 (=> @t621 @t645))) % 63.84/64.33 (assume @p392 (forall @t472 (=> @t316 @t646))) % 63.84/64.33 (assume @p393 (forall @t472 (=> @t621 @t646))) % 63.84/64.33 (assume @p394 (forall @t208 (=> @t621 (= @t478 (= @t647 @t58))))) % 63.84/64.33 (assume @p395 (forall @t479 (=> @t621 (= (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t647 @t63) (and @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t58 @t63)))))) % 63.84/64.33 (assume @p396 (forall @t464 (=> @t621 (=> @t462 @t648)))) % 63.84/64.33 (assume @p397 (forall (@list @t119 @t117 @t325 @t47) (=> @t621 (=> @t461 @t648)))) % 63.84/64.33 (assume @p398 (forall @t336 (=> @t621 (=> @t470 (= @t619 @t331))))) % 63.84/64.33 (assume @p399 (forall @t472 (=> @t621 (=> @t471 (= @t619 @t325))))) % 63.84/64.33 (assume @p400 (forall @t476 (=> @t621 (=> @t475 (=> @t474 @t649))))) % 63.84/64.33 (assume @p401 (forall @t513 (=> @t621 (=> @t471 (=> @t511 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t616 @t325)))))) % 63.84/64.33 (assume @p402 (forall @t468 (=> @t621 (=> @t467 (=> @t466 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t625 (tptp.hAPP (tptp.hAPP @t614 @t338) @t465))))))) % 63.84/64.33 (assume @p403 (forall (@list @t325 @t117 @t119 @t47) (=> @t621 (=> @t649 (not (=> @t475 (not @t474))))))) % 63.84/64.33 (assume @p404 (forall @t292 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t597))) % 63.84/64.33 (assume @p405 (forall @t488 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t45 @t597))) % 63.84/64.33 (assume @p406 (forall @t292 (= @t435 @t650))) % 63.84/64.33 (assume @p407 (forall @t292 (=> @t435 @t650))) % 63.84/64.33 (assume @p408 (forall @t488 (=> @t434 (= @t597 @t51)))) % 63.84/64.33 (assume @p409 (forall (@list @t45 @t265 @t51 @t47) (=> @t444 (=> @t445 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t597 @t265))))) % 63.84/64.33 (assume @p410 (forall @t486 (=> @t444 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t597 (tptp.hAPP @t643 @t272)))))) % 63.84/64.33 (assume @p411 (forall @t346 (=> @t316 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t636 @t635)))) % 63.84/64.33 (assume @p412 (forall @t346 (=> @t316 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t632 @t633)))) % 63.84/64.33 (assume @p413 (forall (@list @t265 @t45 @t101 @t47) (= (tptp.hAPP (tptp.hAPP @t595 @t538) @t265) (tptp.c_Set_Oinsert @t47 @t101 @t610)))) % 63.84/64.33 (assume @p414 (forall (@list @t45 @t101 @t51 @t47) (= (tptp.hAPP @t596 @t538) (tptp.c_Set_Oinsert @t47 @t101 @t597)))) % 63.84/64.33 (assume @p415 (forall @t296 (= (= (tptp.hAPP @t638 @t265) @t639) @t487))) % 63.84/64.33 (assume @p416 (forall (@list @t173 @t73 @t59 @t47) (=> (or (tptp.hBOOL (tptp.hAPP @t651 @t355)) (tptp.hBOOL (tptp.hAPP @t651 @t492))) (tptp.hBOOL (tptp.hAPP @t651 @t602))))) % 63.84/64.33 (assume @p417 (forall @t187 (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t603 @t602))) % 63.84/64.33 (assume @p418 (forall @t491 (=> @t457 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t593 @t631)))) % 63.84/64.33 (assume @p419 (forall @t417 (= (tptp.c_Relation_OField @t47 (tptp.c_Set_Oinsert @t93 @t193 @t89)) (tptp.hAPP (tptp.hAPP @t595 @t654) @t593)))) % 63.84/64.33 (assume @p420 (forall @t658 (=> @t657 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t136 @t4)) @t655)) (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t91 @t202)) @t446)) (= @t4 @t202))))) @t656)))) % 63.84/64.33 (assume @p421 (forall @t658 (=> @t657 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t91 @t104)) @t655)) (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 (tptp.hAPP @t203 @t4)) @t446)) (= @t202 @t4))))) @t656)))) % 63.84/64.33 (assume @p422 (forall (@list @t101 @t47) (not (tptp.hBOOL (tptp.hAPP @t102 @t652))))) % 63.84/64.33 (assume @p423 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t652 @t51))) % 63.84/64.33 (assume @p424 (forall @t292 (= (= @t597 @t652) (and @t659 (= @t45 @t652))))) % 63.84/64.33 (assume @p425 (forall @t227 (= (tptp.hAPP @t596 @t652) @t51))) % 63.84/64.33 (assume @p426 (forall @t660 (= (tptp.hAPP (tptp.hAPP @t595 @t652) @t45) @t45))) % 63.84/64.33 (assume @p427 (forall @t208 (=> @t662 (= (= @t647 @t661) (and (= @t59 @t661) (= @t58 @t661)))))) % 63.84/64.33 (assume @p428 (forall @t327 (=> @t662 (= (tptp.hAPP @t617 @t661) @t325)))) % 63.84/64.33 (assume @p429 (forall @t327 (=> @t662 (= (tptp.hAPP (tptp.hAPP @t614 @t661) @t325) @t325)))) % 63.84/64.33 (assume @p430 (forall @t664 (= (tptp.c_Relation_OField @t47 @t663) @t652))) % 63.84/64.33 (assume @p431 (forall @t483 (= (tptp.c_Transitive__Closure_Ortranclp @t47 (tptp.hAPP @t666 tptp.c_fequal)) @t508))) % 63.84/64.33 (assume @p432 (forall @t187 (= (tptp.c_Transitive__Closure_Ortranclp @t47 (tptp.hAPP (tptp.hAPP @t665 @t508) @t509)) (tptp.c_Transitive__Closure_Ortranclp @t47 (tptp.hAPP @t666 @t173))))) % 63.84/64.33 (assume @p433 (forall (@list @t259 @t74 @t47) (= (tptp.c_FuncSet_Oextensional__funcset @t47 @t74 @t652 @t259) @t668))) % 63.84/64.33 (assume @p434 (forall @t669 (= (tptp.c_FuncSet_Oextensional @t47 @t74 @t652) @t668))) % 63.84/64.33 (assume @p435 (forall @t542 (not (= @t652 @t540)))) % 63.84/64.33 (assume @p436 (forall @t542 (not (= @t540 @t652)))) % 63.84/64.33 (assume @p437 (forall (@list @t588 @t46 @t104 @t101 @t47) (= (= @t654 (tptp.c_Set_Oinsert @t47 @t46 (tptp.c_Set_Oinsert @t47 @t588 @t652))) (or (and @t590 (= @t104 @t588)) (and (= @t101 @t588) (= @t104 @t46)))))) % 63.84/64.33 (assume @p438 (forall (@list @t104 @t101 @t47) (=> (= @t670 @t653) @t106))) % 63.84/64.33 (assume @p439 (forall (@list @t45 @t47 @t51) (=> (= @t51 @t663) (tptp.c_Orderings_Oord__class_Oless__eq @t229 @t51 @t45)))) % 63.84/64.33 (assume @p440 (forall @t227 (= (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t652) @t659))) % 63.84/64.33 (assume @p441 (forall @t97 (tptp.c_Relation_Ototal__on @t47 @t652 @t89))) % 63.84/64.33 (assume @p442 (forall @t327 (=> @t671 (tptp.c_Orderings_Oord__class_Oless__eq @t47 @t661 @t325)))) % 63.84/64.33 (assume @p443 (forall @t327 (=> @t662 (= (tptp.hAPP (tptp.hAPP @t314 @t661) @t325) @t661)))) % 63.84/64.33 (assume @p444 (forall @t327 (=> @t662 (= (tptp.hAPP @t326 @t661) @t661)))) % 63.84/64.33 (assume @p445 (forall @t405 (= (= @t394 @t652) (= @t89 @t672)))) % 63.84/64.33 (assume @p446 (forall @t669 (= (tptp.c_Relation_ODomain @t47 @t74 @t672) @t652))) % 63.84/64.33 (assume @p447 (forall @t431 (= (= @t215 @t667) (exists @t8 (and @t253 (= @t251 @t673)))))) % 63.84/64.33 (assume @p448 (forall (@list @t74 @t47 @t173) (=> (not (= @t173 @t652)) (= (tptp.c_FuncSet_Oextensional__funcset @t47 @t74 @t173 @t673) @t667)))) % 63.84/64.33 (assume @p449 (forall (@list @t89 @t47 @t74) (= (= @t416 @t652) (= @t89 @t674)))) % 63.84/64.33 (assume @p450 (forall (@list @t47 @t74) (= (tptp.c_Relation_ORange @t74 @t47 @t674) @t652))) % 63.84/64.33 (assume @p451 (forall @t664 (= (tptp.c_Relation_OId__on @t47 @t652) @t663))) % 63.84/64.33 (assume @p452 (forall @t664 (tptp.c_Relation_Orefl__on @t47 @t652 @t663))) % 63.84/64.33 (assume @p453 (forall @t675 (= (tptp.hBOOL (tptp.hAPP @t652 @t59)) (tptp.hBOOL (tptp.hAPP @t110 @t652))))) % 63.84/64.33 (assume @p454 (forall @t664 (= (tptp.c_Transitive__Closure_Otrancl @t47 @t663) @t663))) % 63.84/64.33 (assume @p455 (forall @t292 (= (= @t283 @t652) (forall @t8 (=> @t253 (forall @t39 (=> (tptp.hBOOL (tptp.hAPP @t419 @t45)) @t418))))))) % 63.84/64.33 (assume @p456 (forall @t227 (= (tptp.hAPP @t282 @t652) @t652))) % 63.84/64.33 (assume @p457 (forall @t660 (= (tptp.hAPP (tptp.hAPP @t281 @t652) @t45) @t652))) % 63.84/64.33 (assume @p458 (forall (@list @t101 @t47 @t51) (=> @t659 @t552))) % 63.84/64.33 (assume @p459 (forall (@list @t46 @t47) (not (tptp.hBOOL (tptp.hAPP @t49 @t652))))) % 63.84/64.33 (assume @p460 (forall @t227 (= (exists @t8 @t253) (not @t659)))) % 63.84/64.33 (assume @p461 (forall @t227 (= (forall @t8 (not @t253)) @t659))) % 63.84/64.33 (assume @p462 (forall (@list @t59 @t74 @t47) (=> @t671 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t315) @t59) @t661)))) % 63.84/64.33 (assume @p463 (forall (@list @t45 @t74 @t47) (= (tptp.c_Product__Type_OSigma @t47 @t74 @t652 @t45) @t672))) % 63.84/64.33 (assume @p464 (forall @t431 (= (= (tptp.c_Product__Type_OSigma @t47 @t74 @t51 @t221) @t672) (or @t659 (= @t45 @t673))))) % 63.84/64.33 (assume @p465 (forall (@list @t51 @t74 @t47) (= (tptp.c_Product__Type_OSigma @t47 @t74 @t51 (tptp.c_COMBK @t178 @t47 @t673)) @t672))) % 63.84/64.33 (assume @p466 (forall @t678 (= @t677 @t676))) % 63.84/64.33 (assume @p467 (forall @t678 (=> @t677 @t676))) % 63.84/64.33 (assume @p468 (forall (@list @t59 @t51 @t47) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t51 @t679) (or @t659 (= @t51 @t679))))) % 63.84/64.33 (assume @p469 (forall @t542 (= @t540 (tptp.hAPP (tptp.hAPP @t595 @t670) @t51)))) % 63.84/64.33 (assume @p470 (forall @t321 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t680 @t181) @t180) @t59) @t58)) (tptp.hBOOL (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t592 @t73) @t173)))))) % 63.84/64.33 (assume @p471 (forall @t675 (= (tptp.c_Set_Othe__elem @t47 @t679) @t59))) % 63.84/64.33 (assume @p472 (forall (@list @t59 @t173 @t2 @t74 @t259 @t101 @t47) (=> (tptp.hBOOL (tptp.hAPP @t102 @t259)) (=> (tptp.hBOOL (tptp.hAPP @t580 (tptp.c_FuncSet_Oextensional__funcset @t74 @t47 @t173 (tptp.c_Groups_Ominus__class_Ominus @t183 @t259 @t670)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t579 (tptp.c_Fun_Ofun__upd @t74 @t47 @t2 @t59 @t101)) @t577)))))) % 63.84/64.33 (assume @p473 (forall (@list @t74 @t47 @t51 @t58 @t59 @t45) (=> (=> @t392 @t391) @t681))) % 63.84/64.33 (assume @p474 (forall @t393 (=> @t681 (=> (not @t391) @t390)))) % 63.84/64.33 (assume @p475 (forall @t289 (=> @t52 (=> @t54 @t683)))) % 63.84/64.33 (assume @p476 (forall @t289 (=> @t683 (not @t440)))) % 63.84/64.33 (assume @p477 (forall @t296 (= (tptp.c_Groups_Ominus__class_Ominus @t183 @t51 @t294) (tptp.hAPP @t685 @t684)))) % 63.84/64.33 (assume @p478 (forall @t296 (= (tptp.c_Groups_Ominus__class_Ominus @t183 @t51 @t610) (tptp.hAPP (tptp.hAPP @t281 @t682) @t684)))) % 63.84/64.33 (assume @p479 (forall @t292 (= (tptp.hAPP @t685 @t283) @t51))) % 63.84/64.33 (assume @p480 (forall @t296 (= (tptp.c_Groups_Ominus__class_Ominus @t183 @t597 @t265) (tptp.hAPP (tptp.hAPP @t595 @t684) (tptp.c_Groups_Ominus__class_Ominus @t183 @t45 @t265))))) % 63.84/64.33 (assume @p481 (forall @t488 (= (tptp.hAPP (tptp.hAPP @t595 @t686) @t51) @t613))) % 63.84/64.33 (assume @p482 (forall @t292 (= (tptp.hAPP @t596 @t686) @t597))) % 63.84/64.33 (assume @p483 (forall (@list @t51 @t74 @t47 @t58 @t59 @t45) (=> @t390 @t681))) % 63.84/64.33 (assume @p484 (forall (@list @t45 @t74 @t47 @t58 @t59 @t51) (=> @t391 @t681))) % 63.84/64.33 (assume @p485 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p486 (forall @t691 (=> @t690 (tptp.class_Lattices_Obounded__lattice @t689)))) % 63.84/64.33 (assume @p487 (forall @t691 (=> @t690 (tptp.class_Lattices_Obounded__lattice__bot @t689)))) % 63.84/64.33 (assume @p488 (forall @t691 (=> @t692 (tptp.class_Lattices_Osemilattice__sup @t689)))) % 63.84/64.33 (assume @p489 (forall @t691 (=> @t692 (tptp.class_Lattices_Osemilattice__inf @t689)))) % 63.84/64.33 (assume @p490 (forall @t691 (=> (tptp.class_Lattices_Odistrib__lattice @t687) (tptp.class_Lattices_Odistrib__lattice @t689)))) % 63.84/64.33 (assume @p491 (forall @t691 (=> (tptp.class_Orderings_Opreorder @t687) (tptp.class_Orderings_Opreorder @t689)))) % 63.84/64.33 (assume @p492 (forall @t691 (=> @t692 (tptp.class_Lattices_Olattice @t689)))) % 63.84/64.33 (assume @p493 (forall @t691 (=> (tptp.class_Orderings_Oorder @t687) (tptp.class_Orderings_Oorder @t689)))) % 63.84/64.33 (assume @p494 (forall @t691 (=> (tptp.class_Orderings_Oord @t687) (tptp.class_Orderings_Oord @t689)))) % 63.84/64.33 (assume @p495 (forall @t691 (=> (tptp.class_Orderings_Obot @t687) (tptp.class_Orderings_Obot @t689)))) % 63.84/64.33 (assume @p496 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p497 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p498 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p500 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 63.84/64.33 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p512 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p513 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 63.84/64.33 (assume @p514 (forall (@list @t693 @t47) (= (tptp.hAPP @t225 @t693) @t693))) % 63.84/64.33 (assume @p515 (forall (@list @t694 @t693 @t74 @t47) (= (tptp.hAPP (tptp.c_COMBK @t47 @t74 @t693) @t694) @t693))) % 63.84/64.33 (assume @p516 (forall (@list @t73 @t446 @t81 @t128 @t47 @t74) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t47 @t128 @t81) @t446) @t73) (tptp.hAPP @t81 @t695)))) % 63.84/64.33 (assume @p517 (forall @t697 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t128 @t47) @t81) @t446) @t73) (tptp.hAPP @t696 @t446)))) % 63.84/64.33 (assume @p518 (forall @t697 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t74 @t128 @t47) @t81) @t446) @t73) (tptp.hAPP @t696 @t695)))) % 63.84/64.33 (assume @p519 (forall @t699 (or (not @t698) @t66))) % 63.84/64.33 (assume @p520 (forall @t699 (or @t67 @t698))) % 63.84/64.33 (assume @p521 (forall @t702 (or (not @t701) @t700))) % 63.84/64.33 (assume @p522 (forall @t702 (or (not @t700) @t701))) % 63.84/64.33 (assume @p523 (not @t703)) % 63.84/64.33 (assume @p524 true) % 63.84/64.33 (step @p525 :rule cnf_equiv_pos1 :args (@t704)) % 63.84/64.33 (step @p526 :rule reordering :premises (@p525) :args ((or @t703 (not @t15) @t705))) % 63.84/64.33 (step @p527 :rule chain_m_resolution :premises (@p526 @p523 @p7) :args (@t705 (@list true false) (@list @t703 @t15))) % 63.84/64.33 (step @p528 :rule aci_norm :args ((= @t715 (or @t713 @t712 @t711 @t710)))) % 63.84/64.33 (step @p529 :rule cong :premises (@p528) :args (@t716)) % 63.84/64.33 (step @p530 :rule quant-merge-prenex :args ((= (forall @t8 @t718) @t716))) % 63.84/64.33 (step @p531 :rule alpha_equiv :args (@t719 (@list @t706 @t708 @t707) (@list @t21 @t721 @t720))) % 63.84/64.33 (step @p532 :rule refl :args (@t713)) % 63.84/64.33 (step @p533 :rule nary_cong :premises (@p532 @p531) :args (@t722)) % 63.84/64.33 (step @p534 :rule quant-miniscope-or :args ((= @t718 @t722))) % 63.84/64.33 (step @p535 :rule trans :premises (@p534 @p533)) % 63.84/64.33 (step @p536 :rule symm :premises (@p535)) % 63.84/64.33 (step @p537 :rule cong :premises (@p536) :args ((forall @t8 (or @t713 @t729)))) % 63.84/64.33 (step @p538 :rule trans :premises (@p537 @p530)) % 63.84/64.33 (step @p539 :rule trans :premises (@p538 @p529)) % 63.84/64.33 (step @p540 :rule bool-impl-elim :args (@t41 @t729)) % 63.84/64.33 (step @p541 :rule cong :premises (@p540) :args ((forall @t8 (=> @t41 @t729)))) % 63.84/64.33 (step @p542 :rule trans :premises (@p541 @p539)) % 63.84/64.33 (step @p543 :rule aci_norm :args ((= @t731 @t727))) % 63.84/64.33 (step @p544 :rule cong :premises (@p543) :args (@t732)) % 63.84/64.33 (step @p545 :rule quant-merge-prenex :args ((= (forall @t39 @t734) @t732))) % 63.84/64.33 (step @p546 :rule alpha_equiv :args (@t735 (@list @t721 @t720) (@list @t24 @t23))) % 63.84/64.33 (step @p547 :rule refl :args (@t726)) % 63.84/64.33 (step @p548 :rule nary_cong :premises (@p547 @p546) :args (@t736)) % 63.84/64.33 (step @p549 :rule quant-miniscope-or :args ((= @t734 @t736))) % 63.84/64.33 (step @p550 :rule trans :premises (@p549 @p548)) % 63.84/64.33 (step @p551 :rule symm :premises (@p550)) % 63.84/64.33 (step @p552 :rule cong :premises (@p551) :args ((forall @t39 (or @t726 @t737)))) % 63.84/64.33 (step @p553 :rule trans :premises (@p552 @p545)) % 63.84/64.33 (step @p554 :rule trans :premises (@p553 @p544)) % 63.84/64.33 (step @p555 :rule bool-impl-elim :args (@t37 @t737)) % 63.84/64.33 (step @p556 :rule cong :premises (@p555) :args ((forall @t39 (=> @t37 @t737)))) % 63.84/64.33 (step @p557 :rule trans :premises (@p556 @p554)) % 63.84/64.33 (step @p558 :rule bool-impl-elim :args (@t31 @t27)) % 63.84/64.33 (step @p559 :rule cong :premises (@p558) :args (@t33)) % 63.84/64.33 (step @p560 :rule refl :args (@t37)) % 63.84/64.33 (step @p561 :rule cong :premises (@p560 @p559) :args (@t38)) % 63.84/64.33 (step @p562 :rule cong :premises (@p561) :args (@t40)) % 63.84/64.33 (step @p563 :rule trans :premises (@p562 @p557)) % 63.84/64.33 (step @p564 :rule refl :args (@t41)) % 63.84/64.33 (step @p565 :rule cong :premises (@p564 @p563) :args (@t42)) % 63.84/64.33 (step @p566 :rule cong :premises (@p565) :args (@t43)) % 63.84/64.33 (step @p567 :rule trans :premises (@p566 @p542)) % 63.84/64.33 (step @p568 :rule eq_resolve :premises (@p9 @p567)) % 63.84/64.33 (step @p569 :rule instantiate :premises (@p568) :args ((@list tptp.v_Q____ tptp.v_P_H____ tptp.v_a_H____ tptp.v_b_H____))) % 63.84/64.33 (step @p570 :rule cnf_or_pos :args (@t741)) % 63.84/64.33 (step @p571 :rule reordering :premises (@p570) :args ((or @t738 @t739 @t740 @t704 (not @t741)))) % 63.84/64.33 (step @p572 false :rule chain_m_resolution :premises (@p571 @p569 @p527 @p24 @p10 @p8) :args (false (@list false true false false false) (@list @t741 @t704 @t100 @t44 @t20))) % 63.84/64.33 ) % 63.84/64.33 % SZS output end Proof % 63.84/64.33 % cvc5 exiting %------------------------------------------------------------------------------