%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT131+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 1.02s 1.26s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT131+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 14:29:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.69 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.26 % SZS status Theorem % 1.02/1.26 % SZS output start Proof % 1.02/1.26 ( % 1.02/1.26 (declare-sort $$unsorted 0) % 1.02/1.26 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_fconj $$unsorted) % 1.02/1.26 (declare-const tptp.c_fFalse $$unsorted) % 1.02/1.26 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Nitpick_Owfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.02/1.26 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.02/1.26 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.02/1.26 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.v_Q____ $$unsorted) % 1.02/1.26 (declare-const tptp.v_P_H____ $$unsorted) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.v_a_H____ $$unsorted) % 1.02/1.26 (declare-const tptp.c_fequal $$unsorted) % 1.02/1.26 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.v_a____ $$unsorted) % 1.02/1.26 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.v_F $$unsorted) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.02/1.26 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.v_b_H____ $$unsorted) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove $$unsorted) % 1.02/1.26 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.02/1.26 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.v_b____ $$unsorted) % 1.02/1.26 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.v_P____ $$unsorted) % 1.02/1.26 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Transitive__Closure_Otranclp (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.26 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 1.02/1.26 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.02/1.26 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.02/1.26 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.02/1.26 (define @t3 () (= @t2 @t1)) % 1.02/1.26 (define @t4 () (@var "B_x" $$unsorted)) % 1.02/1.26 (define @t5 () (tptp.hAPP @t1 @t4)) % 1.02/1.26 (define @t6 () (tptp.hAPP @t2 @t4)) % 1.02/1.26 (define @t7 () (= @t6 @t5)) % 1.02/1.26 (define @t8 () (@list @t4)) % 1.02/1.26 (define @t9 () (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 1.02/1.26 (define @t10 () (@var "V_i_2" $$unsorted)) % 1.02/1.26 (define @t11 () (tptp.hAPP tptp.v_Q____ @t10)) % 1.02/1.26 (define @t12 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.02/1.26 (define @t13 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.02/1.26 (define @t14 () (tptp.c_member @t13)) % 1.02/1.26 (define @t15 () (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t12 tptp.v_b____) tptp.v_b_H____))) % 1.02/1.26 (define @t16 () (@list @t10)) % 1.02/1.26 (define @t17 () (forall @t16 (tptp.hBOOL (tptp.hAPP @t15 @t11)))) % 1.02/1.26 (define @t18 () (tptp.hAPP tptp.v_F tptp.v_Q____)) % 1.02/1.26 (define @t19 () (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t12 tptp.v_a____) tptp.v_b____))) % 1.02/1.26 (define @t20 () (@var "V_B_2" $$unsorted)) % 1.02/1.26 (define @t21 () (@var "V_c_2" $$unsorted)) % 1.02/1.26 (define @t22 () (@var "T_a" $$unsorted)) % 1.02/1.26 (define @t23 () (tptp.c_member @t22)) % 1.02/1.26 (define @t24 () (tptp.hAPP @t23 @t21)) % 1.02/1.26 (define @t25 () (tptp.hBOOL (tptp.hAPP @t24 @t20))) % 1.02/1.26 (define @t26 () (@var "V_A_2" $$unsorted)) % 1.02/1.26 (define @t27 () (tptp.hBOOL (tptp.hAPP @t24 @t26))) % 1.02/1.26 (define @t28 () (=> (not @t27) @t25)) % 1.02/1.26 (define @t29 () (not @t25)) % 1.02/1.27 (define @t30 () (=> @t27 @t29)) % 1.02/1.27 (define @t31 () (= @t26 @t20)) % 1.02/1.27 (define @t32 () (@var "V_L_2" $$unsorted)) % 1.02/1.27 (define @t33 () (@var "V_y_2" $$unsorted)) % 1.02/1.27 (define @t34 () (@var "V_x_2" $$unsorted)) % 1.02/1.27 (define @t35 () (tptp.hAPP @t12 @t34)) % 1.02/1.27 (define @t36 () (tptp.hAPP @t14 (tptp.hAPP @t35 @t33))) % 1.02/1.27 (define @t37 () (tptp.hBOOL (tptp.hAPP @t36 @t32))) % 1.02/1.27 (define @t38 () (@var "V_z_2" $$unsorted)) % 1.02/1.27 (define @t39 () (= @t34 @t38)) % 1.02/1.27 (define @t40 () (not @t39)) % 1.02/1.27 (define @t41 () (= @t34 @t33)) % 1.02/1.27 (define @t42 () (not @t41)) % 1.02/1.27 (define @t43 () (= @t33 @t38)) % 1.02/1.27 (define @t44 () (not @t43)) % 1.02/1.27 (define @t45 () (@list @t38 @t32 @t33 @t34)) % 1.02/1.27 (define @t46 () (tptp.hAPP @t12 tptp.v_a_H____)) % 1.02/1.27 (define @t47 () (@var "B_i" $$unsorted)) % 1.02/1.27 (define @t48 () (tptp.hAPP tptp.v_Q____ @t47)) % 1.02/1.27 (define @t49 () (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP tptp.v_P____ @t47)))) % 1.02/1.27 (define @t50 () (@list @t47)) % 1.02/1.27 (define @t51 () (@var "V_R_2" $$unsorted)) % 1.02/1.27 (define @t52 () (@var "T_b" $$unsorted)) % 1.02/1.27 (define @t53 () (tptp.c_Product__Type_OPair @t22 @t52)) % 1.02/1.27 (define @t54 () (tptp.hAPP @t53 @t34)) % 1.02/1.27 (define @t55 () (tptp.hAPP @t54 @t33)) % 1.02/1.27 (define @t56 () (tptp.tc_prod @t22 @t52)) % 1.02/1.27 (define @t57 () (tptp.c_member @t56)) % 1.02/1.27 (define @t58 () (tptp.hAPP @t57 @t55)) % 1.02/1.27 (define @t59 () (@var "V_Pa_2" $$unsorted)) % 1.02/1.27 (define @t60 () (tptp.c_Recdef_Osame__fst @t22 @t52 @t59 @t51)) % 1.02/1.27 (define @t61 () (@var "V_y_H_2" $$unsorted)) % 1.02/1.27 (define @t62 () (tptp.c_Product__Type_OPair @t56 @t56)) % 1.02/1.27 (define @t63 () (tptp.c_member (tptp.tc_prod @t56 @t56))) % 1.02/1.27 (define @t64 () (tptp.c_Product__Type_OPair @t52 @t52)) % 1.02/1.27 (define @t65 () (tptp.tc_prod @t52 @t52)) % 1.02/1.27 (define @t66 () (tptp.c_member @t65)) % 1.02/1.27 (define @t67 () (tptp.hAPP @t59 @t34)) % 1.02/1.27 (define @t68 () (tptp.hBOOL @t67)) % 1.02/1.27 (define @t69 () (@var "V_r_2" $$unsorted)) % 1.02/1.27 (define @t70 () (tptp.c_Product__Type_OPair @t22 @t22)) % 1.02/1.27 (define @t71 () (tptp.hAPP @t70 @t4)) % 1.02/1.27 (define @t72 () (tptp.hAPP @t71 @t4)) % 1.02/1.27 (define @t73 () (tptp.tc_prod @t22 @t22)) % 1.02/1.27 (define @t74 () (tptp.c_member @t73)) % 1.02/1.27 (define @t75 () (tptp.hAPP @t74 @t72)) % 1.02/1.27 (define @t76 () (tptp.hBOOL (tptp.hAPP @t75 @t69))) % 1.02/1.27 (define @t77 () (@list @t69 @t22)) % 1.02/1.27 (define @t78 () (tptp.tc_fun @t13 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t79 () (tptp.c_member @t78)) % 1.02/1.27 (define @t80 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t78)) % 1.02/1.27 (define @t81 () (tptp.c_member @t80)) % 1.02/1.27 (define @t82 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t32) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.02/1.27 (define @t83 () (@list @t34 @t32)) % 1.02/1.27 (define @t84 () (@var "V_aa_2" $$unsorted)) % 1.02/1.27 (define @t85 () (@var "V_ba_2" $$unsorted)) % 1.02/1.27 (define @t86 () (tptp.hAPP @t12 @t85)) % 1.02/1.27 (define @t87 () (tptp.hAPP @t12 @t84)) % 1.02/1.27 (define @t88 () (tptp.hAPP @t14 (tptp.hAPP @t87 @t85))) % 1.02/1.27 (define @t89 () (tptp.hAPP @t23 @t84)) % 1.02/1.27 (define @t90 () (tptp.hBOOL (tptp.hAPP @t89 @t26))) % 1.02/1.27 (define @t91 () (tptp.hAPP @t23 @t85)) % 1.02/1.27 (define @t92 () (= @t84 @t85)) % 1.02/1.27 (define @t93 () (@list @t26 @t22 @t85 @t84)) % 1.02/1.27 (define @t94 () (tptp.hAPP @t23 @t33)) % 1.02/1.27 (define @t95 () (tptp.hBOOL (tptp.hAPP @t94 @t26))) % 1.02/1.27 (define @t96 () (tptp.hAPP @t23 @t34)) % 1.02/1.27 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 @t26))) % 1.02/1.27 (define @t98 () (tptp.hBOOL (tptp.hAPP @t96 @t20))) % 1.02/1.27 (define @t99 () (tptp.hAPP @t26 @t34)) % 1.02/1.27 (define @t100 () (tptp.hBOOL @t99)) % 1.02/1.27 (define @t101 () (@list @t26 @t34 @t22)) % 1.02/1.27 (define @t102 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.02/1.27 (define @t103 () (= @t34 @t84)) % 1.02/1.27 (define @t104 () (not @t103)) % 1.02/1.27 (define @t105 () (= @t33 @t85)) % 1.02/1.27 (define @t106 () (= @t33 @t84)) % 1.02/1.27 (define @t107 () (not @t92)) % 1.02/1.27 (define @t108 () (@list @t33 @t34 @t32 @t85 @t84)) % 1.02/1.27 (define @t109 () (= @t34 @t85)) % 1.02/1.27 (define @t110 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Oabove @t32)) % 1.02/1.27 (define @t111 () (@list @t32 @t33 @t34)) % 1.02/1.27 (define @t112 () (tptp.hAPP tptp.v_P____ @t10)) % 1.02/1.27 (define @t113 () (@var "V_s_2" $$unsorted)) % 1.02/1.27 (define @t114 () (@var "V_b_Ha_2" $$unsorted)) % 1.02/1.27 (define @t115 () (@var "V_a_Ha_2" $$unsorted)) % 1.02/1.27 (define @t116 () (= @t84 @t115)) % 1.02/1.27 (define @t117 () (tptp.hAPP @t70 @t84)) % 1.02/1.27 (define @t118 () (tptp.hAPP (tptp.hAPP @t53 @t115) @t114)) % 1.02/1.27 (define @t119 () (tptp.hAPP @t53 @t84)) % 1.02/1.27 (define @t120 () (tptp.hAPP @t119 @t85)) % 1.02/1.27 (define @t121 () (@var "B_z" $$unsorted)) % 1.02/1.27 (define @t122 () (@var "B_g" $$unsorted)) % 1.02/1.27 (define @t123 () (tptp.hAPP @t122 @t121)) % 1.02/1.27 (define @t124 () (@var "V_Fa_2" $$unsorted)) % 1.02/1.27 (define @t125 () (tptp.c_Recdef_Owfrec__rel @t22 @t52 @t51 @t124 @t121)) % 1.02/1.27 (define @t126 () (@var "V_a1_2" $$unsorted)) % 1.02/1.27 (define @t127 () (tptp.hAPP @t70 @t121)) % 1.02/1.27 (define @t128 () (@list @t121)) % 1.02/1.27 (define @t129 () (forall @t128 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t127 @t126)) @t51)) (tptp.hBOOL (tptp.hAPP @t125 @t123))))) % 1.02/1.27 (define @t130 () (tptp.hAPP @t124 @t122)) % 1.02/1.27 (define @t131 () (tptp.hAPP @t130 @t126)) % 1.02/1.27 (define @t132 () (@var "V_a2_2" $$unsorted)) % 1.02/1.27 (define @t133 () (tptp.hAPP (tptp.hAPP @t124 @t132) @t126)) % 1.02/1.27 (define @t134 () (@list @t122)) % 1.02/1.27 (define @t135 () (tptp.c_Recdef_Owfrec__rel @t22 @t52 @t51 @t124 @t126)) % 1.02/1.27 (define @t136 () (@list @t132 @t126 @t124 @t51 @t52 @t22)) % 1.02/1.27 (define @t137 () (tptp.hAPP @t2 @t34)) % 1.02/1.27 (define @t138 () (tptp.c_Recdef_Ocut @t22 @t52)) % 1.02/1.27 (define @t139 () (tptp.hAPP (tptp.hAPP @t138 @t2) @t69)) % 1.02/1.27 (define @t140 () (tptp.hAPP @t139 @t84)) % 1.02/1.27 (define @t141 () (tptp.hAPP @t70 @t34)) % 1.02/1.27 (define @t142 () (tptp.hAPP @t74 (tptp.hAPP @t141 @t84))) % 1.02/1.27 (define @t143 () (tptp.hBOOL (tptp.hAPP @t142 @t69))) % 1.02/1.27 (define @t144 () (@var "B_y" $$unsorted)) % 1.02/1.27 (define @t145 () (tptp.hAPP @t70 @t144)) % 1.02/1.27 (define @t146 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t145 @t34)) @t69))) % 1.02/1.27 (define @t147 () (@list @t144)) % 1.02/1.27 (define @t148 () (tptp.hAPP @t139 @t34)) % 1.02/1.27 (define @t149 () (tptp.c_FuncSet_OPi @t80 @t78 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t78 tptp.tc_HOL_Obool) @t80 tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.02/1.27 (define @t150 () (tptp.c_member (tptp.tc_fun @t80 @t78))) % 1.02/1.27 (define @t151 () (@var "B_f" $$unsorted)) % 1.02/1.27 (define @t152 () (@var "B_R" $$unsorted)) % 1.02/1.27 (define @t153 () (@var "V_S_2" $$unsorted)) % 1.02/1.27 (define @t154 () (= @t51 @t153)) % 1.02/1.27 (define @t155 () (tptp.tc_fun @t56 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t156 () (tptp.tc_fun @t155 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t157 () (tptp.tc_fun @t52 @t156)) % 1.02/1.27 (define @t158 () (tptp.tc_fun @t52 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t159 () (tptp.hAPP (tptp.c_COMBC @t22 @t155 @t158) (tptp.hAPP (tptp.c_COMBB @t157 (tptp.tc_fun @t155 @t158) @t22 (tptp.c_COMBC @t52 @t155 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t52 @t56) @t157 @t22 (tptp.c_COMBB @t56 @t156 @t52 @t57)) @t53)))) % 1.02/1.27 (define @t160 () (tptp.hAPP @t159 @t153)) % 1.02/1.27 (define @t161 () (tptp.hAPP @t159 @t51)) % 1.02/1.27 (define @t162 () (@list @t153 @t51 @t52 @t22)) % 1.02/1.27 (define @t163 () (tptp.hAPP @t124 @t4)) % 1.02/1.27 (define @t164 () (@var "B_b" $$unsorted)) % 1.02/1.27 (define @t165 () (@var "B_a" $$unsorted)) % 1.02/1.27 (define @t166 () (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t12 @t165) @t164))) % 1.02/1.27 (define @t167 () (tptp.hBOOL (tptp.hAPP @t166 @t163))) % 1.02/1.27 (define @t168 () (tptp.hAPP @t4 @t47)) % 1.02/1.27 (define @t169 () (tptp.hBOOL (tptp.hAPP @t166 @t168))) % 1.02/1.27 (define @t170 () (forall @t50 @t169)) % 1.02/1.27 (define @t171 () (@list @t165 @t164)) % 1.02/1.27 (define @t172 () (forall @t171 (=> @t170 @t167))) % 1.02/1.27 (define @t173 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.02/1.27 (define @t174 () (=> @t173 @t172)) % 1.02/1.27 (define @t175 () (forall @t8 @t174)) % 1.02/1.27 (define @t176 () (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t124)) % 1.02/1.27 (define @t177 () (= @t176 @t175)) % 1.02/1.27 (define @t178 () (@list @t124)) % 1.02/1.27 (define @t179 () (forall @t178 @t177)) % 1.02/1.27 (define @t180 () (@var "B_xa" $$unsorted)) % 1.02/1.27 (define @t181 () (@list @t180)) % 1.02/1.27 (define @t182 () (tptp.c_COMBI @t22)) % 1.02/1.27 (define @t183 () (tptp.tc_fun @t22 @t52)) % 1.02/1.27 (define @t184 () (tptp.tc_fun @t22 @t183)) % 1.02/1.27 (define @t185 () (tptp.tc_fun @t73 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t186 () (tptp.tc_fun @t22 @t22)) % 1.02/1.27 (define @t187 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t183 @t186 @t183) (tptp.hAPP (tptp.c_COMBB @t184 (tptp.tc_fun @t186 @t183) @t183 (tptp.c_COMBS @t22 @t22 @t52)) (tptp.hAPP (tptp.c_COMBB @t184 @t184 @t183 (tptp.c_COMBB @t183 @t183 @t22 @t124)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t183 @t185 @t184) @t138) @t51)))) @t182)) % 1.02/1.27 (define @t188 () (@list @t124 @t51 @t52 @t22)) % 1.02/1.27 (define @t189 () (tptp.hAPP @t4 @t10)) % 1.02/1.27 (define @t190 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t124 @t10)) % 1.02/1.27 (define @t191 () (@list @t10 @t124)) % 1.02/1.27 (define @t192 () (tptp.c_HOL_Oundefined @t52)) % 1.02/1.27 (define @t193 () (tptp.hAPP @t148 @t33)) % 1.02/1.27 (define @t194 () (tptp.hAPP @t70 @t33)) % 1.02/1.27 (define @t195 () (tptp.hAPP @t194 @t34)) % 1.02/1.27 (define @t196 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t195) @t69))) % 1.02/1.27 (define @t197 () (tptp.hAPP @t2 @t33)) % 1.02/1.27 (define @t198 () (tptp.tc_fun @t22 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t199 () (tptp.hAPP (tptp.c_COMBC @t22 @t198 tptp.tc_HOL_Obool) @t23)) % 1.02/1.27 (define @t200 () (tptp.hAPP @t199 @t153)) % 1.02/1.27 (define @t201 () (tptp.hAPP @t199 @t51)) % 1.02/1.27 (define @t202 () (@list @t153 @t51 @t22)) % 1.02/1.27 (define @t203 () (tptp.c_Recdef_Owfrec__rel @t22 @t52 @t51 @t124 @t34)) % 1.02/1.27 (define @t204 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t127 @t34)) @t51))) % 1.02/1.27 (define @t205 () (tptp.c_Wellfounded_Oacc @t22 @t69)) % 1.02/1.27 (define @t206 () (tptp.hAPP @t23 @t4)) % 1.02/1.27 (define @t207 () (tptp.hBOOL (tptp.hAPP @t206 @t205))) % 1.02/1.27 (define @t208 () (tptp.hBOOL (tptp.hAPP @t89 @t205))) % 1.02/1.27 (define @t209 () (@list @t69 @t84 @t22)) % 1.02/1.27 (define @t210 () (@list @t33 @t34 @t22)) % 1.02/1.27 (define @t211 () (tptp.hAPP @t74 (tptp.hAPP @t117 @t85))) % 1.02/1.27 (define @t212 () (tptp.hBOOL (tptp.hAPP @t211 @t69))) % 1.02/1.27 (define @t213 () (tptp.hBOOL (tptp.hAPP @t91 @t205))) % 1.02/1.27 (define @t214 () (not @t97)) % 1.02/1.27 (define @t215 () (tptp.hAPP @t20 @t34)) % 1.02/1.27 (define @t216 () (tptp.c_member @t52)) % 1.02/1.27 (define @t217 () (tptp.hAPP @t216 @t137)) % 1.02/1.27 (define @t218 () (tptp.hBOOL (tptp.hAPP @t217 @t215))) % 1.02/1.27 (define @t219 () (tptp.c_FuncSet_OPi @t22 @t52 @t26 @t20)) % 1.02/1.27 (define @t220 () (tptp.c_member @t183)) % 1.02/1.27 (define @t221 () (tptp.hAPP @t220 @t2)) % 1.02/1.27 (define @t222 () (tptp.hBOOL (tptp.hAPP @t221 @t219))) % 1.02/1.27 (define @t223 () (@list @t34 @t20 @t26 @t2 @t52 @t22)) % 1.02/1.27 (define @t224 () (tptp.c_COMBK @t158 @t22 @t20)) % 1.02/1.27 (define @t225 () (tptp.c_FuncSet_OPi @t22 @t52 @t26 @t224)) % 1.02/1.27 (define @t226 () (tptp.hBOOL (tptp.hAPP @t221 @t225))) % 1.02/1.27 (define @t227 () (tptp.c_COMBK @t198 @t22 @t26)) % 1.02/1.27 (define @t228 () (@list @t26 @t22)) % 1.02/1.27 (define @t229 () (tptp.hBOOL (tptp.hAPP @t96 @t205))) % 1.02/1.27 (define @t230 () (tptp.tc_fun @t185 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t231 () (tptp.tc_fun @t22 @t230)) % 1.02/1.27 (define @t232 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t22 @t185 @t198) (tptp.hAPP (tptp.c_COMBB @t231 (tptp.tc_fun @t185 @t198) @t22 (tptp.c_COMBC @t22 @t185 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t22 @t73) @t231 @t22 (tptp.c_COMBB @t73 @t230 @t22 @t74)) @t70))) @t69)) % 1.02/1.27 (define @t233 () (@list @t34 @t69 @t22)) % 1.02/1.27 (define @t234 () (tptp.c_Wellfounded_Oacc @t22 @t51)) % 1.02/1.27 (define @t235 () (tptp.hAPP @t23 @t144)) % 1.02/1.27 (define @t236 () (tptp.c_Recdef_Oadm__wf @t22 @t52 @t51 @t124)) % 1.02/1.27 (define @t237 () (tptp.c_Wellfounded_Oaccp @t22 @t69)) % 1.02/1.27 (define @t238 () (tptp.hBOOL (tptp.hAPP @t237 @t84))) % 1.02/1.27 (define @t239 () (@list @t84 @t69 @t22)) % 1.02/1.27 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t84) @t85))) % 1.02/1.27 (define @t241 () (= @t137 @t192)) % 1.02/1.27 (define @t242 () (tptp.c_FuncSet_Oextensional @t22 @t52 @t26)) % 1.02/1.27 (define @t243 () (tptp.hBOOL (tptp.hAPP @t221 @t242))) % 1.02/1.27 (define @t244 () (tptp.hAPP @t20 @t4)) % 1.02/1.27 (define @t245 () (tptp.hAPP @t216 @t6)) % 1.02/1.27 (define @t246 () (tptp.hBOOL (tptp.hAPP @t206 @t26))) % 1.02/1.27 (define @t247 () (forall @t8 (=> @t246 (tptp.hBOOL (tptp.hAPP @t245 @t244))))) % 1.02/1.27 (define @t248 () (@list @t20 @t2 @t52 @t26 @t22)) % 1.02/1.27 (define @t249 () (forall @t8 (=> @t246 (tptp.hBOOL (tptp.hAPP @t245 @t20))))) % 1.02/1.27 (define @t250 () (tptp.hBOOL (tptp.hAPP @t96 @t153))) % 1.02/1.27 (define @t251 () (not @t250)) % 1.02/1.27 (define @t252 () (@var "V_T_2" $$unsorted)) % 1.02/1.27 (define @t253 () (tptp.c_FuncSet_Oextensional__funcset @t22 @t52 @t153 @t252)) % 1.02/1.27 (define @t254 () (tptp.hBOOL (tptp.hAPP @t221 @t253))) % 1.02/1.27 (define @t255 () (@list @t34 @t252 @t153 @t2 @t52 @t22)) % 1.02/1.27 (define @t256 () (tptp.hAPP @t220 @t1)) % 1.02/1.27 (define @t257 () (@var "B_w" $$unsorted)) % 1.02/1.27 (define @t258 () (@var "V_C_2" $$unsorted)) % 1.02/1.27 (define @t259 () (@var "T_c" $$unsorted)) % 1.02/1.27 (define @t260 () (tptp.tc_fun @t259 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t261 () (tptp.c_FuncSet_Ocompose @t22 @t52 @t259 @t26 @t1 @t2)) % 1.02/1.27 (define @t262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t52 @t259)) @t1) (tptp.c_FuncSet_OPi @t52 @t259 @t20 (tptp.c_COMBK @t260 @t52 @t258))))) % 1.02/1.27 (define @t263 () (@var "V_h_2" $$unsorted)) % 1.02/1.27 (define @t264 () (@var "T_d" $$unsorted)) % 1.02/1.27 (define @t265 () (@var "V_D_2" $$unsorted)) % 1.02/1.27 (define @t266 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t69)) % 1.02/1.27 (define @t267 () (tptp.hAPP @t70 @t85)) % 1.02/1.27 (define @t268 () (tptp.hAPP @t74 (tptp.hAPP @t267 @t84))) % 1.02/1.27 (define @t269 () (tptp.hBOOL (tptp.hAPP @t268 @t266))) % 1.02/1.27 (define @t270 () (tptp.c_FuncSet_Ocompose @t22 @t259 @t52 @t26 @t1 @t2)) % 1.02/1.27 (define @t271 () (tptp.hAPP @t74 (tptp.hAPP @t117 @t84))) % 1.02/1.27 (define @t272 () (@var "V_p_2" $$unsorted)) % 1.02/1.27 (define @t273 () (tptp.hAPP @t74 @t272)) % 1.02/1.27 (define @t274 () (tptp.hBOOL (tptp.hAPP @t273 @t69))) % 1.02/1.27 (define @t275 () (@list @t69 @t272 @t22)) % 1.02/1.27 (define @t276 () (tptp.hAPP @t74 (tptp.hAPP @t117 @t21))) % 1.02/1.27 (define @t277 () (tptp.hBOOL (tptp.hAPP @t276 @t266))) % 1.02/1.27 (define @t278 () (tptp.hAPP @t74 (tptp.hAPP @t267 @t21))) % 1.02/1.27 (define @t279 () (tptp.hBOOL (tptp.hAPP @t278 @t266))) % 1.02/1.27 (define @t280 () (=> @t279 @t277)) % 1.02/1.27 (define @t281 () (tptp.hBOOL (tptp.hAPP @t211 @t266))) % 1.02/1.27 (define @t282 () (@list @t21 @t69 @t85 @t84 @t22)) % 1.02/1.27 (define @t283 () (tptp.hBOOL (tptp.hAPP @t278 @t69))) % 1.02/1.27 (define @t284 () (tptp.hBOOL (tptp.hAPP @t256 @t242))) % 1.02/1.27 (define @t285 () (tptp.c_COMBI @t52)) % 1.02/1.27 (define @t286 () (@list @t20 @t26 @t2 @t52 @t22)) % 1.02/1.27 (define @t287 () (tptp.c_FuncSet_Orestrict @t22 @t52 @t2 @t26)) % 1.02/1.27 (define @t288 () (tptp.hAPP @t220 @t287)) % 1.02/1.27 (define @t289 () (@list @t26 @t2 @t52 @t22)) % 1.02/1.27 (define @t290 () (tptp.hAPP @t287 @t34)) % 1.02/1.27 (define @t291 () (tptp.hAPP @t74 (tptp.hAPP @t194 @t38))) % 1.02/1.27 (define @t292 () (tptp.hAPP @t74 (tptp.hAPP @t141 @t38))) % 1.02/1.27 (define @t293 () (tptp.hBOOL (tptp.hAPP @t292 @t266))) % 1.02/1.27 (define @t294 () (tptp.hAPP @t74 (tptp.hAPP @t141 @t33))) % 1.02/1.27 (define @t295 () (tptp.hBOOL (tptp.hAPP @t294 @t266))) % 1.02/1.27 (define @t296 () (@list @t38 @t33 @t34 @t69 @t22)) % 1.02/1.27 (define @t297 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t51)) % 1.02/1.27 (define @t298 () (tptp.hBOOL (tptp.hAPP @t294 @t297))) % 1.02/1.27 (define @t299 () (tptp.c_Transitive__Closure_Ortrancl @t56 @t69)) % 1.02/1.27 (define @t300 () (@var "V_zb_2" $$unsorted)) % 1.02/1.27 (define @t301 () (@var "V_za_2" $$unsorted)) % 1.02/1.27 (define @t302 () (tptp.hAPP (tptp.hAPP @t53 @t301) @t300)) % 1.02/1.27 (define @t303 () (tptp.hAPP (tptp.hAPP @t53 @t165) @t164)) % 1.02/1.27 (define @t304 () (tptp.hAPP @t62 @t303)) % 1.02/1.27 (define @t305 () (@var "V_xb_2" $$unsorted)) % 1.02/1.27 (define @t306 () (@var "V_xa_2" $$unsorted)) % 1.02/1.27 (define @t307 () (tptp.hAPP (tptp.hAPP @t53 @t306) @t305)) % 1.02/1.27 (define @t308 () (tptp.hAPP @t62 @t307)) % 1.02/1.27 (define @t309 () (@var "V_ay_2" $$unsorted)) % 1.02/1.27 (define @t310 () (@var "V_ax_2" $$unsorted)) % 1.02/1.27 (define @t311 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t310) @t309))) % 1.02/1.27 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t165) @t164))) % 1.02/1.27 (define @t313 () (@var "B_ba" $$unsorted)) % 1.02/1.27 (define @t314 () (@var "B_aa" $$unsorted)) % 1.02/1.27 (define @t315 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t314) @t313))) % 1.02/1.27 (define @t316 () (@var "V_by_2" $$unsorted)) % 1.02/1.27 (define @t317 () (@var "V_bx_2" $$unsorted)) % 1.02/1.27 (define @t318 () (tptp.hAPP (tptp.hAPP @t53 @t317) @t316)) % 1.02/1.27 (define @t319 () (tptp.hAPP (tptp.hAPP @t53 @t314) @t313)) % 1.02/1.27 (define @t320 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t304 @t319)) @t69))) % 1.02/1.27 (define @t321 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t317) @t316))) % 1.02/1.27 (define @t322 () (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t53 @t310) @t309))) % 1.02/1.27 (define @t323 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t322 @t318)) @t299))) % 1.02/1.27 (define @t324 () (@list @t59 @t69 @t316 @t317 @t309 @t310 @t52 @t22)) % 1.02/1.27 (define @t325 () (tptp.tc_fun @t183 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t326 () (tptp.hBOOL @t215)) % 1.02/1.27 (define @t327 () (not @t326)) % 1.02/1.27 (define @t328 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t198)) % 1.02/1.27 (define @t329 () (tptp.hAPP @t328 @t26)) % 1.02/1.27 (define @t330 () (tptp.hAPP @t329 @t20)) % 1.02/1.27 (define @t331 () (tptp.hBOOL (tptp.hAPP @t330 @t34))) % 1.02/1.27 (define @t332 () (@list @t34 @t20 @t26 @t22)) % 1.02/1.27 (define @t333 () (tptp.hBOOL (tptp.hAPP @t24 @t330))) % 1.02/1.27 (define @t334 () (@list @t20 @t26 @t21 @t22)) % 1.02/1.27 (define @t335 () (tptp.hAPP @t328 @t20)) % 1.02/1.27 (define @t336 () (tptp.hAPP @t335 @t258)) % 1.02/1.27 (define @t337 () (tptp.hAPP @t329 @t336)) % 1.02/1.27 (define @t338 () (@list @t258 @t20 @t26 @t22)) % 1.02/1.27 (define @t339 () (tptp.hAPP @t329 @t258)) % 1.02/1.27 (define @t340 () (@list @t20 @t26 @t22)) % 1.02/1.27 (define @t341 () (tptp.hAPP @t335 @t26)) % 1.02/1.27 (define @t342 () (@list @t34 @t153 @t51 @t22)) % 1.02/1.27 (define @t343 () (tptp.c_Relation_ODomain @t22 @t52 @t69)) % 1.02/1.27 (define @t344 () (tptp.hBOOL (tptp.hAPP @t89 @t343))) % 1.02/1.27 (define @t345 () (tptp.hAPP @t57 @t120)) % 1.02/1.27 (define @t346 () (tptp.hBOOL (tptp.hAPP @t345 @t69))) % 1.02/1.27 (define @t347 () (@list @t69 @t85 @t84 @t52 @t22)) % 1.02/1.27 (define @t348 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t119 @t144)) @t69))) % 1.02/1.27 (define @t349 () (@list @t69 @t52 @t84 @t22)) % 1.02/1.27 (define @t350 () (tptp.c_Relation_Osingle__valued @t22 @t52 @t69)) % 1.02/1.27 (define @t351 () (tptp.hAPP @t53 @t4)) % 1.02/1.27 (define @t352 () (tptp.hAPP @t351 @t144)) % 1.02/1.27 (define @t353 () (@list @t4 @t144)) % 1.02/1.27 (define @t354 () (forall @t353 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t352) @t69)) (forall @t128 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t351 @t121)) @t69)) (= @t144 @t121)))))) % 1.02/1.27 (define @t355 () (@list @t69 @t52 @t22)) % 1.02/1.27 (define @t356 () (tptp.hAPP @t159 @t69)) % 1.02/1.27 (define @t357 () (@list @t34 @t69 @t52 @t22)) % 1.02/1.27 (define @t358 () (tptp.hAPP @t1 @t34)) % 1.02/1.27 (define @t359 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t22)) % 1.02/1.27 (define @t360 () (tptp.tc_fun @t52 @t22)) % 1.02/1.27 (define @t361 () (tptp.class_Lattices_Olattice @t22)) % 1.02/1.27 (define @t362 () (@list @t34 @t1 @t2 @t52 @t22)) % 1.02/1.27 (define @t363 () (@list @t52 @t22 @t85 @t84 @t69)) % 1.02/1.27 (define @t364 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t155)) % 1.02/1.27 (define @t365 () (tptp.tc_fun @t22 @t158)) % 1.02/1.27 (define @t366 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t365)) % 1.02/1.27 (define @t367 () (@var "V_z" $$unsorted)) % 1.02/1.27 (define @t368 () (@var "V_y" $$unsorted)) % 1.02/1.27 (define @t369 () (tptp.hAPP @t359 @t368)) % 1.02/1.27 (define @t370 () (tptp.hAPP @t369 @t367)) % 1.02/1.27 (define @t371 () (@var "V_x" $$unsorted)) % 1.02/1.27 (define @t372 () (tptp.hAPP @t359 @t371)) % 1.02/1.27 (define @t373 () (tptp.hAPP @t372 @t370)) % 1.02/1.27 (define @t374 () (tptp.hAPP @t372 @t368)) % 1.02/1.27 (define @t375 () (= (tptp.hAPP (tptp.hAPP @t359 @t374) @t367) @t373)) % 1.02/1.27 (define @t376 () (tptp.class_Lattices_Osemilattice__inf @t22)) % 1.02/1.27 (define @t377 () (@list @t367 @t368 @t371 @t22)) % 1.02/1.27 (define @t378 () (@var "V_c" $$unsorted)) % 1.02/1.27 (define @t379 () (@var "V_b" $$unsorted)) % 1.02/1.27 (define @t380 () (tptp.hAPP @t359 @t379)) % 1.02/1.27 (define @t381 () (@var "V_a" $$unsorted)) % 1.02/1.27 (define @t382 () (tptp.hAPP @t359 @t381)) % 1.02/1.27 (define @t383 () (tptp.hAPP @t382 (tptp.hAPP @t380 @t378))) % 1.02/1.27 (define @t384 () (tptp.hAPP @t382 @t379)) % 1.02/1.27 (define @t385 () (@list @t378 @t379 @t381 @t22)) % 1.02/1.27 (define @t386 () (tptp.hAPP @t372 @t367)) % 1.02/1.27 (define @t387 () (= @t373 (tptp.hAPP @t369 @t386))) % 1.02/1.27 (define @t388 () (@list @t378 @t381 @t379 @t22)) % 1.02/1.27 (define @t389 () (= (tptp.hAPP @t372 @t374) @t374)) % 1.02/1.27 (define @t390 () (@list @t368 @t371 @t22)) % 1.02/1.27 (define @t391 () (@list @t379 @t381 @t22)) % 1.02/1.27 (define @t392 () (tptp.hAPP @t369 @t371)) % 1.02/1.27 (define @t393 () (= @t374 @t392)) % 1.02/1.27 (define @t394 () (@list @t371 @t22)) % 1.02/1.27 (define @t395 () (@list @t381 @t22)) % 1.02/1.27 (define @t396 () (tptp.c_Relation_ORange @t22 @t52 @t69)) % 1.02/1.27 (define @t397 () (tptp.hAPP @t216 @t85)) % 1.02/1.27 (define @t398 () (tptp.c_Relation_OId__on @t22 @t26)) % 1.02/1.27 (define @t399 () (@list @t26 @t33 @t34 @t22)) % 1.02/1.27 (define @t400 () (tptp.hBOOL (tptp.hAPP @t59 @t85))) % 1.02/1.27 (define @t401 () (tptp.hBOOL (tptp.hAPP @t59 @t121))) % 1.02/1.27 (define @t402 () (tptp.hBOOL (tptp.hAPP @t59 @t144))) % 1.02/1.27 (define @t403 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t145 @t121)) @t69))) % 1.02/1.27 (define @t404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t117 @t144)) @t266))) % 1.02/1.27 (define @t405 () (tptp.hBOOL (tptp.hAPP @t59 @t84))) % 1.02/1.27 (define @t406 () (@list @t59 @t69 @t85 @t84 @t22)) % 1.02/1.27 (define @t407 () (tptp.hBOOL (tptp.hAPP @t215 @t33))) % 1.02/1.27 (define @t408 () (tptp.hBOOL (tptp.hAPP @t99 @t33))) % 1.02/1.27 (define @t409 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t366 @t26) @t20) @t34) @t33))) % 1.02/1.27 (define @t410 () (@list @t33 @t34 @t20 @t26 @t52 @t22)) % 1.02/1.27 (define @t411 () (tptp.c_Product__Type_OPair @t52 @t22)) % 1.02/1.27 (define @t412 () (tptp.tc_prod @t52 @t22)) % 1.02/1.27 (define @t413 () (tptp.c_member @t412)) % 1.02/1.27 (define @t414 () (tptp.c_Relation_ORange @t52 @t22 @t69)) % 1.02/1.27 (define @t415 () (@list @t69 @t85 @t84 @t22)) % 1.02/1.27 (define @t416 () (tptp.hAPP @t74 (tptp.hAPP @t145 @t38))) % 1.02/1.27 (define @t417 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t141 @t144)) @t69))) % 1.02/1.27 (define @t418 () (@list @t69 @t38 @t34 @t22)) % 1.02/1.27 (define @t419 () (not (= @t4 @t180))) % 1.02/1.27 (define @t420 () (tptp.hAPP @t23 @t180)) % 1.02/1.27 (define @t421 () (@list @t69 @t26 @t22)) % 1.02/1.27 (define @t422 () (tptp.hBOOL (tptp.hAPP @t294 @t69))) % 1.02/1.27 (define @t423 () (tptp.c_Relation_Orefl__on @t22 @t26 @t69)) % 1.02/1.27 (define @t424 () (@list @t33 @t34 @t69 @t26 @t22)) % 1.02/1.27 (define @t425 () (tptp.hBOOL (tptp.hAPP @t271 @t69))) % 1.02/1.27 (define @t426 () (tptp.c_Transitive__Closure_Otrancl @t22 @t69)) % 1.02/1.27 (define @t427 () (tptp.hBOOL (tptp.hAPP @t211 @t426))) % 1.02/1.27 (define @t428 () (tptp.hBOOL (tptp.hAPP @t273 @t426))) % 1.02/1.27 (define @t429 () (tptp.c_Transitive__Closure_Otrancl @t22 @t51)) % 1.02/1.27 (define @t430 () (@list @t51 @t22)) % 1.02/1.27 (define @t431 () (tptp.c_Relation_ODomain @t22 @t22 @t69)) % 1.02/1.27 (define @t432 () (tptp.hBOOL (tptp.hAPP @t276 @t426))) % 1.02/1.27 (define @t433 () (=> (tptp.hBOOL (tptp.hAPP @t278 @t426)) @t432)) % 1.02/1.27 (define @t434 () (=> @t283 @t432)) % 1.02/1.27 (define @t435 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t185)) % 1.02/1.27 (define @t436 () (tptp.hAPP @t435 @t69)) % 1.02/1.27 (define @t437 () (tptp.c_Relation_Orefl__on @t22 @t20 @t113)) % 1.02/1.27 (define @t438 () (@list @t113 @t20 @t69 @t26 @t22)) % 1.02/1.27 (define @t439 () (tptp.hBOOL (tptp.hAPP @t292 @t426))) % 1.02/1.27 (define @t440 () (=> @t279 @t432)) % 1.02/1.27 (define @t441 () (tptp.hBOOL (tptp.hAPP @t294 @t429))) % 1.02/1.27 (define @t442 () (@list @t51 @t33 @t34 @t22)) % 1.02/1.27 (define @t443 () (tptp.hAPP @t74 (tptp.hAPP @t127 @t33))) % 1.02/1.27 (define @t444 () (tptp.hAPP @t74 (tptp.hAPP @t141 @t121))) % 1.02/1.27 (define @t445 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t75 @t426))))) % 1.02/1.27 (define @t446 () (tptp.c_Wellfounded_Oacyclic @t22 @t69)) % 1.02/1.27 (define @t447 () (@var "B_c" $$unsorted)) % 1.02/1.27 (define @t448 () (not @t295)) % 1.02/1.27 (define @t449 () (tptp.c_Set_Oinsert @t73 @t195 @t69)) % 1.02/1.27 (define @t450 () (@list @t69 @t34 @t33 @t22)) % 1.02/1.27 (define @t451 () (tptp.c_Transitive__Closure_Otranclp @t22 @t69)) % 1.02/1.27 (define @t452 () (tptp.hAPP @t451 @t84)) % 1.02/1.27 (define @t453 () (tptp.hBOOL (tptp.hAPP @t452 @t85))) % 1.02/1.27 (define @t454 () (tptp.c_Set_Oinsert @t22 @t85 @t20)) % 1.02/1.27 (define @t455 () (tptp.hBOOL (tptp.hAPP @t89 @t454))) % 1.02/1.27 (define @t456 () (tptp.hBOOL (tptp.hAPP @t89 @t20))) % 1.02/1.27 (define @t457 () (@list @t85 @t20 @t84 @t22)) % 1.02/1.27 (define @t458 () (tptp.hBOOL (tptp.hAPP @t89 (tptp.c_Set_Oinsert @t22 @t85 @t26)))) % 1.02/1.27 (define @t459 () (@list @t26 @t85 @t84 @t22)) % 1.02/1.27 (define @t460 () (tptp.c_Set_Oinsert @t22 @t84 @t20)) % 1.02/1.27 (define @t461 () (or @t92 @t90)) % 1.02/1.27 (define @t462 () (tptp.c_Set_Oinsert @t22 @t34 @t20)) % 1.02/1.27 (define @t463 () (tptp.c_Set_Oinsert @t22 @t34 @t26)) % 1.02/1.27 (define @t464 () (@list @t20 @t26 @t34 @t22)) % 1.02/1.27 (define @t465 () (tptp.c_Set_Oinsert @t22 @t84 @t26)) % 1.02/1.27 (define @t466 () (@list @t26 @t84 @t22)) % 1.02/1.27 (define @t467 () (tptp.c_Set_Oinsert @t22 @t84 @t330)) % 1.02/1.27 (define @t468 () (@list @t20 @t26 @t84 @t22)) % 1.02/1.27 (define @t469 () (tptp.hAPP @t451 @t34)) % 1.02/1.27 (define @t470 () (tptp.hBOOL (tptp.hAPP @t452 @t21))) % 1.02/1.27 (define @t471 () (@var "V_a3_2" $$unsorted)) % 1.02/1.27 (define @t472 () (tptp.hAPP @t69 @t164)) % 1.02/1.27 (define @t473 () (tptp.hAPP @t451 @t126)) % 1.02/1.27 (define @t474 () (tptp.hBOOL (tptp.hAPP @t473 @t164))) % 1.02/1.27 (define @t475 () (@list @t164)) % 1.02/1.27 (define @t476 () (tptp.hAPP @t69 @t126)) % 1.02/1.27 (define @t477 () (tptp.c_Set_Oinsert @t22 @t33 @t26)) % 1.02/1.27 (define @t478 () (tptp.hAPP (tptp.hAPP @t328 @t460) @t258)) % 1.02/1.27 (define @t479 () (tptp.hBOOL (tptp.hAPP @t89 @t258))) % 1.02/1.27 (define @t480 () (=> @t479 (= @t478 (tptp.c_Set_Oinsert @t22 @t84 @t336)))) % 1.02/1.27 (define @t481 () (@list @t20 @t258 @t84 @t22)) % 1.02/1.27 (define @t482 () (tptp.hAPP @t329 @t460)) % 1.02/1.27 (define @t483 () (=> @t90 (= @t482 @t467))) % 1.02/1.27 (define @t484 () (=> (not @t479) (= @t478 @t336))) % 1.02/1.27 (define @t485 () (not @t90)) % 1.02/1.27 (define @t486 () (=> @t485 (= @t482 @t330))) % 1.02/1.27 (define @t487 () (tptp.c_Relation_Oantisym @t22 @t69)) % 1.02/1.27 (define @t488 () (tptp.hAPP @t74 (tptp.hAPP @t145 @t4))) % 1.02/1.27 (define @t489 () (tptp.hBOOL (tptp.hAPP @t488 @t69))) % 1.02/1.27 (define @t490 () (forall @t353 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t144)) @t69)) (=> @t489 (= @t4 @t144))))) % 1.02/1.27 (define @t491 () (tptp.c_Fun_Ofun__upd @t52 @t22 @t2 @t34 @t33)) % 1.02/1.27 (define @t492 () (tptp.c_member @t360)) % 1.02/1.27 (define @t493 () (tptp.c_Wellfounded_Owf @t22 @t69)) % 1.02/1.27 (define @t494 () (tptp.c_Relation_ORange @t52 @t22 @t20)) % 1.02/1.27 (define @t495 () (tptp.c_Relation_ORange @t52 @t22 @t26)) % 1.02/1.27 (define @t496 () (tptp.tc_fun @t412 tptp.tc_HOL_Obool)) % 1.02/1.27 (define @t497 () (@list @t20 @t26 @t52 @t22)) % 1.02/1.27 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t20 @t26)) % 1.02/1.27 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t26 @t20)) % 1.02/1.27 (define @t500 () (@var "V_rb_2" $$unsorted)) % 1.02/1.27 (define @t501 () (@var "V_ra_2" $$unsorted)) % 1.02/1.27 (define @t502 () (tptp.hAPP @t328 @t258)) % 1.02/1.27 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t20 @t265)) % 1.02/1.27 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t26 @t258)) % 1.02/1.27 (define @t505 () (@list @t265 @t20 @t258 @t26 @t22)) % 1.02/1.27 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t258 @t26)) % 1.02/1.27 (define @t507 () (@list @t26 @t20 @t22)) % 1.02/1.27 (define @t508 () (@var "V_Qa_2" $$unsorted)) % 1.02/1.27 (define @t509 () (tptp.hAPP @t508 @t34)) % 1.02/1.27 (define @t510 () (tptp.hBOOL @t509)) % 1.02/1.27 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t59 @t508)) % 1.02/1.27 (define @t512 () (@list @t22 @t20 @t26)) % 1.02/1.27 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t20 @t258)) % 1.02/1.27 (define @t514 () (@list @t272 @t69 @t22)) % 1.02/1.27 (define @t515 () (@var "V_R1_2" $$unsorted)) % 1.02/1.27 (define @t516 () (@var "V_R2_2" $$unsorted)) % 1.02/1.27 (define @t517 () (@list @t516 @t515 @t22)) % 1.02/1.27 (define @t518 () (@var "V_A_H_2" $$unsorted)) % 1.02/1.27 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq @t155 @t69 @t113)) % 1.02/1.27 (define @t520 () (@list @t113 @t69 @t52 @t22)) % 1.02/1.27 (define @t521 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t379)) % 1.02/1.27 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t381)) % 1.02/1.27 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t384)) % 1.02/1.27 (define @t524 () (@list @t379 @t381 @t371 @t22)) % 1.02/1.27 (define @t525 () (@var "V_d" $$unsorted)) % 1.02/1.27 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t379 @t525)) % 1.02/1.27 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t381 @t378)) % 1.02/1.27 (define @t528 () (@list @t525 @t379 @t378 @t381 @t22)) % 1.02/1.27 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t367)) % 1.02/1.27 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t368)) % 1.02/1.27 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t368 @t371)) % 1.02/1.27 (define @t532 () (@list @t371 @t368 @t22)) % 1.02/1.27 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t384 @t371)) % 1.02/1.27 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t379 @t371)) % 1.02/1.27 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t381 @t371)) % 1.02/1.27 (define @t536 () (@list @t379 @t371 @t381 @t22)) % 1.02/1.27 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t34 @t38)) % 1.02/1.27 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t34 @t33)) % 1.02/1.27 (define @t539 () (@list @t38 @t33 @t34 @t22)) % 1.02/1.27 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t374 @t368)) % 1.02/1.27 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t374 @t371)) % 1.02/1.27 (define @t542 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t113)) % 1.02/1.27 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t266 @t542)) % 1.02/1.27 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t69 @t113)) % 1.02/1.27 (define @t545 () (@list @t113 @t69 @t22)) % 1.02/1.27 (define @t546 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t153)) % 1.02/1.27 (define @t547 () (@var "V_r_H_2" $$unsorted)) % 1.02/1.27 (define @t548 () (@list @t547 @t69 @t22)) % 1.02/1.27 (define @t549 () (tptp.c_Relation_ODomain @t22 @t52 @t20)) % 1.02/1.27 (define @t550 () (tptp.c_Relation_ODomain @t22 @t52 @t26)) % 1.02/1.27 (define @t551 () (tptp.class_Orderings_Opreorder @t22)) % 1.02/1.27 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq @t183 @t2 @t1)) % 1.02/1.27 (define @t553 () (tptp.class_Orderings_Oord @t52)) % 1.02/1.27 (define @t554 () (tptp.tc_fun @t22 @t198)) % 1.02/1.27 (define @t555 () (tptp.class_Orderings_Olinorder @t22)) % 1.02/1.27 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t33 @t34)) % 1.02/1.27 (define @t557 () (tptp.class_Orderings_Oorder @t22)) % 1.02/1.27 (define @t558 () (= @t371 @t368)) % 1.02/1.27 (define @t559 () (= @t381 @t379)) % 1.02/1.27 (define @t560 () (tptp.class_Orderings_Oord @t22)) % 1.02/1.27 (define @t561 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t378 @t381)) % 1.02/1.27 (define @t562 () (= @t379 @t378)) % 1.02/1.27 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t367 @t371)) % 1.02/1.27 (define @t564 () (@list @t367 @t371 @t368 @t22)) % 1.02/1.27 (define @t565 () (= @t137 @t33)) % 1.02/1.27 (define @t566 () (tptp.c_Fun_Ofun__upd @t22 @t52 @t2 @t34 @t33)) % 1.02/1.27 (define @t567 () (tptp.hAPP @t566 @t38)) % 1.02/1.27 (define @t568 () (= @t38 @t34)) % 1.02/1.27 (define @t569 () (=> (not @t568) (= @t567 (tptp.hAPP @t2 @t38)))) % 1.02/1.27 (define @t570 () (@list @t33 @t2 @t52 @t22 @t34 @t38)) % 1.02/1.27 (define @t571 () (@var "V_d_2" $$unsorted)) % 1.02/1.27 (define @t572 () (@var "V_m_2" $$unsorted)) % 1.02/1.27 (define @t573 () (= @t84 @t21)) % 1.02/1.27 (define @t574 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t22 @t52 @t2 @t84 @t85) @t34)) % 1.02/1.27 (define @t575 () (tptp.hBOOL (tptp.hAPP @t59 @t4))) % 1.02/1.27 (define @t576 () (@var "B_M" $$unsorted)) % 1.02/1.27 (define @t577 () (tptp.c_Recdef_Owfrec @t22 @t52 @t152 @t576)) % 1.02/1.27 (define @t578 () (@var "V_H_2" $$unsorted)) % 1.02/1.27 (define @t579 () (tptp.c_Recdef_Owfrec @t22 @t52 @t69 @t578)) % 1.02/1.27 (define @t580 () (tptp.hBOOL (tptp.hAPP @t509 @t33))) % 1.02/1.27 (define @t581 () (tptp.hBOOL (tptp.hAPP @t67 @t33))) % 1.02/1.27 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq @t365 @t59 @t508)) % 1.02/1.27 (define @t583 () (tptp.c_Recdef_Ocut @t52 @t22)) % 1.02/1.27 (define @t584 () (tptp.tc_fun @t52 @t360)) % 1.02/1.27 (define @t585 () (tptp.tc_fun @t52 @t52)) % 1.02/1.27 (define @t586 () (@list @t34 @t124 @t51 @t22 @t52)) % 1.02/1.27 (define @t587 () (tptp.c_Wellfounded_Omlex__prod @t22 @t2 @t51)) % 1.02/1.27 (define @t588 () (= @t144 @t4)) % 1.02/1.27 (define @t589 () (tptp.c_Wellfounded_Owf @t22 @t51)) % 1.02/1.27 (define @t590 () (tptp.c_Nitpick_Owfrec_H @t22 @t52 @t51 @t124 @t34)) % 1.02/1.27 (define @t591 () (tptp.hAPP tptp.c_fequal @t34)) % 1.02/1.27 (define @t592 () (@list @t34 @t22)) % 1.02/1.27 (define @t593 () (@list @t84 @t22)) % 1.02/1.27 (define @t594 () (@list @t22)) % 1.02/1.27 (define @t595 () (@var "B_x1" $$unsorted)) % 1.02/1.27 (define @t596 () (@list @t595)) % 1.02/1.27 (define @t597 () (tptp.c_Wellfounded_OwfP @t22 @t69)) % 1.02/1.27 (define @t598 () (@var "B_Q" $$unsorted)) % 1.02/1.27 (define @t599 () (tptp.hBOOL (tptp.hAPP @t206 @t598))) % 1.02/1.27 (define @t600 () (tptp.c_Product__Type_OSigma @t22 @t22 @t26 @t227)) % 1.02/1.27 (define @t601 () (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t69 @t600)) % 1.02/1.27 (define @t602 () (@list @t26 @t69 @t22)) % 1.02/1.27 (define @t603 () (forall @t8 (=> @t246 @t76))) % 1.02/1.27 (define @t604 () (tptp.c_Product__Type_OSigma @t22 @t52 @t26 @t20)) % 1.02/1.27 (define @t605 () (tptp.hBOOL (tptp.hAPP @t345 @t604))) % 1.02/1.27 (define @t606 () (tptp.hBOOL (tptp.hAPP @t397 (tptp.hAPP @t20 @t84)))) % 1.02/1.27 (define @t607 () (tptp.c_COMBK @t198 @t52 @t258)) % 1.02/1.27 (define @t608 () (tptp.c_Product__Type_OSigma @t52 @t22 @t20 @t607)) % 1.02/1.27 (define @t609 () (tptp.c_Product__Type_OSigma @t52 @t22 @t26 @t607)) % 1.02/1.27 (define @t610 () (tptp.hBOOL (tptp.hAPP @t96 @t258))) % 1.02/1.27 (define @t611 () (@list @t20 @t26 @t52 @t258 @t34 @t22)) % 1.02/1.27 (define @t612 () (@list @t20 @t26 @t85 @t84 @t52 @t22)) % 1.02/1.27 (define @t613 () (@var "V_b_H" $$unsorted)) % 1.02/1.27 (define @t614 () (@var "V_a_H" $$unsorted)) % 1.02/1.27 (define @t615 () (@var "V_I_2" $$unsorted)) % 1.02/1.27 (define @t616 () (tptp.c_Product__Type_OSigma @t22 @t52 @t615 @t20)) % 1.02/1.27 (define @t617 () (tptp.c_Product__Type_OSigma @t22 @t52 @t615 @t26)) % 1.02/1.27 (define @t618 () (tptp.tc_fun @t158 @t158)) % 1.02/1.27 (define @t619 () (tptp.c_COMBS @t22 @t158 @t158)) % 1.02/1.27 (define @t620 () (@list @t20 @t26 @t615 @t52 @t22)) % 1.02/1.27 (define @t621 () (tptp.c_COMBK @t158 @t22 @t258)) % 1.02/1.27 (define @t622 () (tptp.c_Product__Type_OSigma @t22 @t52 @t20 @t621)) % 1.02/1.27 (define @t623 () (tptp.c_Product__Type_OSigma @t22 @t52 @t26 @t621)) % 1.02/1.27 (define @t624 () (@list @t258 @t20 @t26 @t52 @t22)) % 1.02/1.27 (define @t625 () (@var "V_J_2" $$unsorted)) % 1.02/1.27 (define @t626 () (tptp.c_Product__Type_OSigma @t22 @t52 @t625 @t258)) % 1.02/1.27 (define @t627 () (tptp.c_Product__Type_OSigma @t22 @t52 @t615 @t258)) % 1.02/1.27 (define @t628 () (@list @t258 @t625 @t615 @t52 @t22)) % 1.02/1.27 (define @t629 () (@var "V_f1_2" $$unsorted)) % 1.02/1.27 (define @t630 () (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t52 @t259) @t84) @t85)) % 1.02/1.27 (define @t631 () (tptp.c_COMBK @t158 @t22 (tptp.c_Set_Oinsert @t52 @t85 @t20))) % 1.02/1.27 (define @t632 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t155)) % 1.02/1.27 (define @t633 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t198)) % 1.02/1.27 (define @t634 () (tptp.hAPP @t633 @t26)) % 1.02/1.27 (define @t635 () (tptp.hAPP @t634 @t20)) % 1.02/1.27 (define @t636 () (tptp.hBOOL (tptp.hAPP @t635 @t34))) % 1.02/1.27 (define @t637 () (tptp.hBOOL (tptp.hAPP @t24 @t635))) % 1.02/1.27 (define @t638 () (@list @t26 @t20 @t21 @t22)) % 1.02/1.27 (define @t639 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t185)) % 1.02/1.27 (define @t640 () (tptp.c_Transitive__Closure_Ortrancl @t22 (tptp.hAPP (tptp.hAPP @t639 @t51) @t153))) % 1.02/1.27 (define @t641 () (tptp.hAPP (tptp.hAPP @t639 @t297) @t546)) % 1.02/1.27 (define @t642 () (= @t635 @t20)) % 1.02/1.27 (define @t643 () (tptp.hAPP @t633 @t258)) % 1.02/1.27 (define @t644 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t22)) % 1.02/1.27 (define @t645 () (tptp.hAPP @t644 @t371)) % 1.02/1.27 (define @t646 () (tptp.hAPP @t645 @t368)) % 1.02/1.27 (define @t647 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t646)) % 1.02/1.27 (define @t648 () (tptp.class_Lattices_Osemilattice__sup @t22)) % 1.02/1.27 (define @t649 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t368 @t646)) % 1.02/1.27 (define @t650 () (tptp.hAPP (tptp.hAPP @t644 @t34) @t33)) % 1.02/1.27 (define @t651 () (tptp.hAPP @t644 @t381)) % 1.02/1.27 (define @t652 () (tptp.hAPP @t651 @t379)) % 1.02/1.27 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t652)) % 1.02/1.27 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t652 @t371)) % 1.02/1.27 (define @t655 () (tptp.hAPP @t644 @t368)) % 1.02/1.27 (define @t656 () (tptp.hAPP @t655 @t367)) % 1.02/1.27 (define @t657 () (tptp.hAPP @t645 @t367)) % 1.02/1.27 (define @t658 () (tptp.hAPP (tptp.hAPP @t359 @t646) @t657)) % 1.02/1.27 (define @t659 () (tptp.hAPP @t645 @t370)) % 1.02/1.27 (define @t660 () (tptp.hAPP @t372 @t656)) % 1.02/1.27 (define @t661 () (tptp.hAPP (tptp.hAPP @t644 @t374) @t386)) % 1.02/1.27 (define @t662 () (tptp.hAPP (tptp.hAPP @t639 @t69) @t113)) % 1.02/1.27 (define @t663 () (tptp.hAPP @t655 @t371)) % 1.02/1.27 (define @t664 () (tptp.class_Lattices_Odistrib__lattice @t22)) % 1.02/1.27 (define @t665 () (@list @t371 @t367 @t368 @t22)) % 1.02/1.27 (define @t666 () (tptp.hAPP @t633 @t20)) % 1.02/1.27 (define @t667 () (tptp.hAPP @t666 @t26)) % 1.02/1.27 (define @t668 () (tptp.hAPP @t634 @t258)) % 1.02/1.27 (define @t669 () (tptp.hAPP @t666 @t258)) % 1.02/1.27 (define @t670 () (tptp.hAPP @t634 @t669)) % 1.02/1.27 (define @t671 () (tptp.hBOOL (tptp.hAPP @t206 @t20))) % 1.02/1.27 (define @t672 () (tptp.hBOOL (tptp.hAPP @t206 @t635))) % 1.02/1.27 (define @t673 () (@list @t59 @t20 @t26 @t22)) % 1.02/1.27 (define @t674 () (tptp.hAPP @t644 @t379)) % 1.02/1.27 (define @t675 () (= @t646 @t663)) % 1.02/1.27 (define @t676 () (= (tptp.hAPP @t645 @t646) @t646)) % 1.02/1.27 (define @t677 () (tptp.hAPP @t651 (tptp.hAPP @t674 @t378))) % 1.02/1.27 (define @t678 () (tptp.hAPP @t645 @t656)) % 1.02/1.27 (define @t679 () (= @t678 (tptp.hAPP @t655 @t657))) % 1.02/1.27 (define @t680 () (= (tptp.hAPP (tptp.hAPP @t644 @t646) @t367) @t678)) % 1.02/1.27 (define @t681 () (tptp.hAPP @t643 @t26)) % 1.02/1.27 (define @t682 () (tptp.hAPP @t328 @t635)) % 1.02/1.27 (define @t683 () (tptp.hAPP @t502 @t26)) % 1.02/1.27 (define @t684 () (tptp.hAPP @t633 @t330)) % 1.02/1.27 (define @t685 () (@list @t26 @t258 @t20 @t22)) % 1.02/1.27 (define @t686 () (tptp.hAPP @t329 @t669)) % 1.02/1.27 (define @t687 () (tptp.hAPP @t74 @t34)) % 1.02/1.27 (define @t688 () (tptp.c_Orderings_Obot__class_Obot @t198)) % 1.02/1.27 (define @t689 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t59)) % 1.02/1.27 (define @t690 () (tptp.c_Orderings_Obot__class_Obot @t185)) % 1.02/1.27 (define @t691 () (@list @t20 @t22)) % 1.02/1.27 (define @t692 () (= @t26 @t688)) % 1.02/1.27 (define @t693 () (tptp.c_Orderings_Obot__class_Obot @t22)) % 1.02/1.27 (define @t694 () (tptp.class_Lattices_Obounded__lattice__bot @t22)) % 1.02/1.27 (define @t695 () (tptp.c_Set_Oinsert @t22 @t84 @t688)) % 1.02/1.27 (define @t696 () (= @t85 @t84)) % 1.02/1.27 (define @t697 () (tptp.hBOOL (tptp.hAPP @t91 @t695))) % 1.02/1.27 (define @t698 () (@list @t84 @t85 @t22)) % 1.02/1.27 (define @t699 () (tptp.c_Orderings_Obot__class_Obot @t325)) % 1.02/1.27 (define @t700 () (tptp.c_Set_Oinsert @t183 (tptp.c_COMBK @t52 @t22 @t192) @t699)) % 1.02/1.27 (define @t701 () (@list @t52 @t22)) % 1.02/1.27 (define @t702 () (tptp.c_Set_Oinsert @t22 @t85 @t688)) % 1.02/1.27 (define @t703 () (tptp.c_Orderings_Obot__class_Obot @t155)) % 1.02/1.27 (define @t704 () (tptp.c_Orderings_Obot__class_Obot @t158)) % 1.02/1.27 (define @t705 () (tptp.c_Orderings_Obot__class_Obot @t496)) % 1.02/1.27 (define @t706 () (@var "T_1" $$unsorted)) % 1.02/1.27 (define @t707 () (@var "T_2" $$unsorted)) % 1.02/1.27 (define @t708 () (tptp.tc_fun @t707 @t706)) % 1.02/1.27 (define @t709 () (tptp.class_Lattices_Obounded__lattice @t706)) % 1.02/1.27 (define @t710 () (@list @t707 @t706)) % 1.02/1.27 (define @t711 () (tptp.class_Lattices_Olattice @t706)) % 1.02/1.27 (define @t712 () (@var "V_P" $$unsorted)) % 1.02/1.27 (define @t713 () (@var "V_Q" $$unsorted)) % 1.02/1.27 (define @t714 () (tptp.hAPP @t508 @t51)) % 1.02/1.27 (define @t715 () (tptp.hAPP @t59 @t51)) % 1.02/1.27 (define @t716 () (@list @t51 @t508 @t59 @t22 @t259 @t52)) % 1.02/1.27 (define @t717 () (tptp.hBOOL (tptp.hAPP @t591 @t33))) % 1.02/1.27 (define @t718 () (@list @t33 @t34)) % 1.02/1.27 (define @t719 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t59) @t508))) % 1.02/1.27 (define @t720 () (tptp.hBOOL @t508)) % 1.02/1.27 (define @t721 () (tptp.hBOOL @t59)) % 1.02/1.27 (define @t722 () (@list @t508 @t59)) % 1.02/1.27 (define @t723 () (not @t719)) % 1.02/1.27 (define @t724 () (tptp.hBOOL (tptp.hAPP @t15 @t18))) % 1.02/1.27 (define @t725 () (forall @t50 (tptp.hBOOL (tptp.hAPP @t15 @t48)))) % 1.02/1.27 (define @t726 () (@var "BOUND_VARIABLE_11403" $$unsorted)) % 1.02/1.27 (define @t727 () (@var "BOUND_VARIABLE_11401" $$unsorted)) % 1.02/1.27 (define @t728 () (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t12 @t727) @t726))) % 1.02/1.27 (define @t729 () (tptp.hBOOL (tptp.hAPP @t728 @t163))) % 1.02/1.27 (define @t730 () (not (forall @t50 (tptp.hBOOL (tptp.hAPP @t728 @t168))))) % 1.02/1.27 (define @t731 () (not @t173)) % 1.02/1.27 (define @t732 () (or @t730 @t729)) % 1.02/1.27 (define @t733 () (or @t731 @t732)) % 1.02/1.27 (define @t734 () (@list @t4 @t727 @t726)) % 1.02/1.27 (define @t735 () (forall @t734 @t733)) % 1.02/1.27 (define @t736 () (@list @t727 @t726)) % 1.02/1.27 (define @t737 () (forall @t736 @t733)) % 1.02/1.27 (define @t738 () (forall @t736 @t732)) % 1.02/1.27 (define @t739 () (or @t731 @t738)) % 1.02/1.27 (define @t740 () (forall @t171 (or (not @t170) @t167))) % 1.02/1.27 (define @t741 () (forall @t734 (or @t731 @t730 (tptp.hBOOL (tptp.hAPP @t728 (tptp.hAPP tptp.v_F @t4)))))) % 1.02/1.27 (define @t742 () (= @t9 @t741)) % 1.02/1.27 (define @t743 () (not @t725)) % 1.02/1.27 (define @t744 () (not @t102)) % 1.02/1.27 (define @t745 () (or @t744 @t743 @t724)) % 1.02/1.27 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 1.02/1.27 (assume @p2 @t9) % 1.02/1.27 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 1.02/1.27 (assume @p4 (not (= tptp.v_b____ tptp.v_b_H____))) % 1.02/1.27 (assume @p5 (not (= tptp.v_b____ tptp.v_a_H____))) % 1.02/1.27 (assume @p6 @t17) % 1.02/1.27 (assume @p7 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 1.02/1.27 (assume @p8 (not (= tptp.v_a____ tptp.v_b____))) % 1.02/1.27 (assume @p9 (not (= tptp.v_a____ tptp.v_b_H____))) % 1.02/1.27 (assume @p10 (tptp.hBOOL (tptp.hAPP @t19 @t18))) % 1.02/1.27 (assume @p11 (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP tptp.v_F tptp.v_P____)))) % 1.02/1.27 (assume @p12 (forall (@list @t21 @t22 @t20 @t26) (=> @t31 (=> @t30 (not @t28))))) % 1.02/1.27 (assume @p13 (forall @t45 (= (tptp.hBOOL (tptp.hAPP @t36 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t32 @t38))) (and @t44 (=> @t39 @t42) (=> @t40 @t37))))) % 1.02/1.27 (assume @p14 (forall @t45 (= (tptp.hBOOL (tptp.hAPP @t36 (tptp.c_Arrow__Order__Mirabelle_Omktop @t32 @t38))) (and @t40 (=> @t43 @t42) (=> @t44 @t37))))) % 1.02/1.27 (assume @p15 (=> (not (= tptp.v_a____ tptp.v_a_H____)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t46 tptp.v_a____)) @t18)))) % 1.02/1.27 (assume @p16 (forall @t50 (= @t49 (tptp.hBOOL (tptp.hAPP @t19 @t48))))) % 1.02/1.27 (assume @p17 (forall (@list @t33 @t34 @t51 @t52 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t22 @t52 @t51) @t34) @t33)) (tptp.hBOOL (tptp.hAPP @t58 @t51))))) % 1.02/1.27 (assume @p18 (forall (@list @t22 @t51 @t33 @t61 @t52 @t34 @t59) (=> @t68 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t64 @t61) @t33)) (tptp.hAPP @t51 @t34))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t54 @t61)) @t55)) @t60)))))) % 1.02/1.27 (assume @p19 (forall @t50 (= @t49 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t46 tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ @t47)))))) % 1.02/1.27 (assume @p20 (forall @t77 (= (tptp.c_Nitpick_Orefl_H @t22 @t69) (forall @t8 @t76)))) % 1.02/1.27 (assume @p21 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t18) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.02/1.27 (assume @p22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.02/1.27 (assume @p23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.02/1.27 (assume @p24 (forall @t83 (=> @t82 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t32 @t34)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.02/1.27 (assume @p25 (forall @t83 (=> @t82 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.c_Arrow__Order__Mirabelle_Omktop @t32 @t34)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.02/1.27 (assume @p26 (forall (@list @t85 @t84 @t32) (=> @t82 (=> (tptp.hBOOL (tptp.hAPP @t88 @t32)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t86 @t84)) @t32))))))) % 1.02/1.27 (assume @p27 (forall (@list @t33 @t34 @t32) (=> @t82 (=> @t42 (= (not @t37) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t12 @t33) @t34)) @t32))))))) % 1.02/1.27 (assume @p28 (forall @t93 (=> @t92 (=> (tptp.hBOOL (tptp.hAPP @t91 @t26)) @t90)))) % 1.02/1.27 (assume @p29 (forall (@list @t26 @t22 @t33 @t34) (=> @t41 (= @t97 @t95)))) % 1.02/1.27 (assume @p30 (forall (@list @t34 @t22 @t20 @t26) (=> @t31 (= @t97 @t98)))) % 1.02/1.27 (assume @p31 (forall @t101 (= @t97 @t100))) % 1.02/1.27 (assume @p32 @t102) % 1.02/1.27 (assume @p33 (forall @t108 (=> @t107 (=> @t82 (= (tptp.hBOOL (tptp.hAPP @t36 (tptp.c_Arrow__Order__Mirabelle_Obelow @t32 @t84 @t85))) (and @t42 (=> @t106 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t35 @t85)) @t32))) (=> (not @t106) (and (=> @t103 (or @t105 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t86 @t33)) @t32)))) (=> @t104 @t37))))))))) % 1.02/1.27 (assume @p34 (forall @t108 (=> @t107 (=> @t82 (= (tptp.hBOOL (tptp.hAPP @t36 (tptp.hAPP (tptp.hAPP @t110 @t84) @t85))) (and @t42 (=> @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t87 @t33)) @t32))) (=> (not @t109) (and (=> @t105 (or @t103 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t35 @t84)) @t32)))) (=> (not @t105) @t37))))))))) % 1.02/1.27 (assume @p35 (forall @t111 (=> @t42 (=> @t82 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP (tptp.hAPP @t110 @t34) @t33)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 1.02/1.27 (assume @p36 (forall @t111 (=> @t42 (=> @t82 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.c_Arrow__Order__Mirabelle_Obelow @t32 @t34 @t33)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 1.02/1.27 (assume @p37 (forall @t16 (= @t11 (tptp.c_HOL_OLet @t78 @t78 (tptp.hAPP (tptp.hAPP (tptp.c_If @t78 (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_a____) tptp.v_a_H____)) @t112) (tptp.c_Arrow__Order__Mirabelle_Obelow @t112 tptp.v_a_H____ tptp.v_a____)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t78 @t78 @t78) (tptp.c_If @t78 (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_b____) tptp.v_b_H____))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t78 tptp.tc_Arrow__Order__Mirabelle_Oalt @t78) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t78 tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t78)) tptp.c_Arrow__Order__Mirabelle_Oabove) tptp.v_b____)) tptp.v_b_H____)))))) % 1.02/1.27 (assume @p38 (forall (@list @t113 @t69 @t114 @t115 @t85 @t84 @t52 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t62 @t120) @t118)) (tptp.c_Wellfounded_Olex__prod @t22 @t52 @t69 @t113))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t117 @t115)) @t69)) (and @t116 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t64 @t85) @t114)) @t113))))))) % 1.02/1.27 (assume @p39 (forall (@list @t85 @t84) (=> @t107 (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t4) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t88 @t4))))))) % 1.02/1.27 (assume @p40 (forall @t136 (= (tptp.hBOOL (tptp.hAPP @t135 @t133)) (exists @t134 (and (= @t133 @t131) @t129))))) % 1.02/1.27 (assume @p41 (forall (@list @t2 @t52 @t69 @t84 @t34 @t22) (=> @t143 (= (tptp.hAPP @t140 @t34) @t137)))) % 1.02/1.27 (assume @p42 (forall (@list @t1 @t34 @t69 @t2 @t52 @t22) (= (= @t148 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t138 @t1) @t69) @t34)) (forall @t147 (=> @t146 (= (tptp.hAPP @t2 @t144) (tptp.hAPP @t1 @t144))))))) % 1.02/1.27 (assume @p43 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 tptp.v_F) @t149))) % 1.02/1.27 (assume @p44 (forall (@list @t32) (=> @t82 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 (tptp.c_COMBK @t78 tptp.tc_Arrow__Order__Mirabelle_Oindi @t32)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 1.02/1.27 (assume @p45 (forall (@list @t52 @t84 @t34 @t22 @t151 @t152) (=> (tptp.hBOOL (tptp.hAPP @t142 @t152)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t138 @t151) @t152) @t84) @t34) (tptp.hAPP @t151 @t34))))) % 1.02/1.27 (assume @p46 (forall @t162 (= (= @t161 @t160) @t154))) % 1.02/1.27 (assume @p47 @t179) % 1.02/1.27 (assume @p48 (forall @t178 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t124) (forall @t8 (=> @t173 (forall @t181 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t81 @t180) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t171 (=> (forall @t50 (= @t169 (tptp.hBOOL (tptp.hAPP @t166 (tptp.hAPP @t180 @t47))))) (= @t167 (tptp.hBOOL (tptp.hAPP @t166 (tptp.hAPP @t124 @t180))))))))))))) % 1.02/1.27 (assume @p49 (forall @t188 (tptp.c_Recdef_Oadm__wf @t22 @t52 @t51 @t187))) % 1.02/1.27 (assume @p50 (forall @t191 (= @t190 (forall @t8 (=> @t173 (= @t163 @t189)))))) % 1.02/1.27 (assume @p51 (forall (@list @t2 @t52 @t69 @t34 @t33 @t22) (and (=> @t196 (= @t193 @t197)) (=> (not @t196) (= @t193 @t192))))) % 1.02/1.27 (assume @p52 (forall @t202 (= (= @t201 @t200) @t154))) % 1.02/1.27 (assume @p53 (forall @t136 (= (tptp.hBOOL (tptp.hAPP @t135 @t132)) (exists @t134 (and (= @t132 @t131) @t129))))) % 1.02/1.27 (assume @p54 (forall (@list @t1 @t124 @t52 @t51 @t34 @t22) (=> (forall @t128 (=> @t204 (tptp.hBOOL (tptp.hAPP @t125 (tptp.hAPP @t1 @t121))))) (tptp.hBOOL (tptp.hAPP @t203 (tptp.hAPP (tptp.hAPP @t124 @t1) @t34)))))) % 1.02/1.27 (assume @p55 (forall @t209 (= @t208 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t84)) @t69)) @t207))))) % 1.02/1.27 (assume @p56 (forall @t210 (= (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP tptp.c_fequal @t33))) @t41))) % 1.02/1.27 (assume @p57 (forall (@list @t84 @t69 @t85 @t22) (=> @t213 (=> @t212 @t208)))) % 1.02/1.27 (assume @p58 (forall @t223 (=> @t222 (=> (not @t218) @t214)))) % 1.02/1.27 (assume @p59 (forall @t191 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t124) @t149)) (=> (forall @t8 (=> @t173 (forall @t171 (=> (not (= @t165 @t164)) (=> (tptp.hBOOL (tptp.hAPP @t166 @t189)) @t167))))) @t190)))) % 1.02/1.27 (assume @p60 (forall @t223 (=> @t226 (=> @t97 (tptp.hBOOL (tptp.hAPP @t217 @t20)))))) % 1.02/1.27 (assume @p61 (forall @t223 (=> @t222 (=> @t97 @t218)))) % 1.02/1.27 (assume @p62 (forall @t228 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t186) @t182) (tptp.c_FuncSet_OPi @t22 @t22 @t26 @t227))))) % 1.02/1.27 (assume @p63 (forall @t233 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t22 @t232) @t34)) @t229))) % 1.02/1.27 (assume @p64 (forall (@list @t51 @t34 @t22) (=> (not (tptp.hBOOL (tptp.hAPP @t96 @t234))) (not (forall @t128 (=> @t204 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t121) @t234)))))))) % 1.02/1.27 (assume @p65 (forall (@list @t69 @t34 @t22) (=> (forall @t147 (=> @t146 (tptp.hBOOL (tptp.hAPP @t235 @t205)))) @t229))) % 1.02/1.27 (assume @p66 (forall @t188 (= @t236 (forall (@list @t151 @t122 @t4) (=> (forall @t128 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t127 @t4)) @t51)) (= (tptp.hAPP @t151 @t121) @t123))) (= (tptp.hAPP (tptp.hAPP @t124 @t151) @t4) (tptp.hAPP @t130 @t4))))))) % 1.02/1.27 (assume @p67 (forall @t239 (= @t238 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t4) @t84)) (tptp.hBOOL (tptp.hAPP @t237 @t4))))))) % 1.02/1.27 (assume @p68 (forall (@list @t84 @t85 @t69 @t22) (=> (tptp.hBOOL (tptp.hAPP @t237 @t85)) (=> @t240 @t238)))) % 1.02/1.27 (assume @p69 (forall (@list @t34 @t26 @t2 @t52 @t22) (=> @t243 (=> @t214 @t241)))) % 1.02/1.27 (assume @p70 (forall @t248 (=> @t247 @t222))) % 1.02/1.27 (assume @p71 (forall @t248 (=> @t249 @t226))) % 1.02/1.27 (assume @p72 (forall @t255 (=> @t254 (=> @t251 @t241)))) % 1.02/1.27 (assume @p73 (forall (@list @t20 @t52 @t1 @t2 @t26 @t22) (=> (forall (@list @t257) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t257) @t26)) (= (tptp.hAPP @t2 @t257) (tptp.hAPP @t1 @t257)))) (= @t222 (tptp.hBOOL (tptp.hAPP @t256 @t219)))))) % 1.02/1.27 (assume @p74 (forall (@list @t258 @t1 @t259 @t20 @t26 @t2 @t52 @t22) (=> @t226 (=> @t262 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t22 @t259)) @t261) (tptp.c_FuncSet_OPi @t22 @t259 @t26 (tptp.c_COMBK @t260 @t22 @t258)))))))) % 1.02/1.27 (assume @p75 (forall (@list @t265 @t263 @t264 @t258 @t1 @t259 @t20 @t26 @t2 @t52 @t22) (=> @t226 (=> @t262 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t259 @t264)) @t263) (tptp.c_FuncSet_OPi @t259 @t264 @t258 (tptp.c_COMBK (tptp.tc_fun @t264 tptp.tc_HOL_Obool) @t259 @t265)))) (= (tptp.c_FuncSet_Ocompose @t22 @t259 @t264 @t26 @t263 @t261) (tptp.c_FuncSet_Ocompose @t22 @t52 @t264 @t26 (tptp.c_FuncSet_Ocompose @t52 @t259 @t264 @t20 @t263 @t1) @t2))))))) % 1.02/1.27 (assume @p76 (forall (@list @t85 @t69 @t84 @t22) (=> @t208 (=> @t269 @t213)))) % 1.02/1.27 (assume @p77 (forall (@list @t1 @t2 @t26 @t259 @t52 @t22) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 (tptp.c_FuncSet_Ocompose @t22 @t259 @t52 @t26 @t2 @t1)) @t242)))) % 1.02/1.27 (assume @p78 (forall (@list @t2 @t1 @t52 @t259 @t26 @t34 @t22) (=> @t97 (= (tptp.hAPP @t270 @t34) (tptp.hAPP @t1 @t137))))) % 1.02/1.27 (assume @p79 (forall @t255 (=> @t254 (=> @t250 (tptp.hBOOL (tptp.hAPP @t217 @t252)))))) % 1.02/1.27 (assume @p80 (forall (@list @t69 @t84 @t85 @t22) (=> @t269 (=> @t208 @t213)))) % 1.02/1.27 (assume @p81 (forall @t209 (tptp.hBOOL (tptp.hAPP @t271 @t266)))) % 1.02/1.27 (assume @p82 (forall @t275 (=> @t274 (tptp.hBOOL (tptp.hAPP @t273 @t266))))) % 1.02/1.27 (assume @p83 (forall @t282 (=> @t281 @t280))) % 1.02/1.27 (assume @p84 (forall @t282 (=> @t281 (=> @t283 @t277)))) % 1.02/1.27 (assume @p85 (forall @t282 (=> @t212 @t280))) % 1.02/1.27 (assume @p86 (forall (@list @t20 @t26 @t1 @t52 @t22) (=> (tptp.hBOOL (tptp.hAPP @t256 @t225)) (=> @t284 (= (tptp.c_FuncSet_Ocompose @t22 @t22 @t52 @t26 @t1 (tptp.c_FuncSet_Orestrict @t22 @t22 @t182 @t26)) @t1))))) % 1.02/1.27 (assume @p87 (forall @t286 (=> @t226 (=> @t243 (= (tptp.c_FuncSet_Ocompose @t22 @t52 @t52 @t26 (tptp.c_FuncSet_Orestrict @t52 @t52 @t285 @t20) @t2) @t2))))) % 1.02/1.27 (assume @p88 (forall (@list @t1 @t26 @t2 @t52 @t22) (=> @t243 (=> @t284 (=> (forall @t8 (=> @t246 @t7)) @t3))))) % 1.02/1.27 (assume @p89 (forall (@list @t2 @t1 @t26 @t52 @t259 @t22) (= @t270 (tptp.c_FuncSet_Orestrict @t22 @t52 (tptp.hAPP (tptp.c_COMBB @t259 @t52 @t22 @t1) @t2) @t26)))) % 1.02/1.27 (assume @p90 (forall @t289 (tptp.hBOOL (tptp.hAPP @t288 @t242)))) % 1.02/1.27 (assume @p91 (forall @t289 (=> @t243 (= @t287 @t2)))) % 1.02/1.27 (assume @p92 (forall (@list @t2 @t52 @t26 @t34 @t22) (and (=> @t97 (= @t290 @t137)) (=> @t214 (= @t290 @t192))))) % 1.02/1.27 (assume @p93 (forall @t77 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t266) @t266))) % 1.02/1.27 (assume @p94 (forall @t248 (=> @t247 (tptp.hBOOL (tptp.hAPP @t288 @t219))))) % 1.02/1.27 (assume @p95 (forall @t248 (=> @t249 (tptp.hBOOL (tptp.hAPP @t288 @t225))))) % 1.02/1.27 (assume @p96 (forall @t296 (=> (tptp.c_Relation_Osingle__valued @t22 @t22 @t69) (=> @t295 (=> @t293 (or (tptp.hBOOL (tptp.hAPP @t291 @t266)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 @t38) @t33)) @t266)))))))) % 1.02/1.27 (assume @p97 (forall (@list @t33 @t51 @t34 @t22) (=> (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Relation_ODomain @t22 @t22 @t51)))) (= @t298 @t41)))) % 1.02/1.27 (assume @p98 (forall (@list @t69 @t300 @t301 @t305 @t306 @t52 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t308 @t302)) @t299)) (=> (not (= @t307 @t302)) (not (forall @t171 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t308 @t303)) @t69)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t304 @t302)) @t299)))))))))) % 1.02/1.27 (assume @p99 (forall @t324 (=> @t323 (=> @t321 (=> (forall (@list @t165 @t164 @t314 @t313) (=> @t320 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t62 @t319) @t318)) @t299)) (=> @t315 @t312)))) @t311))))) % 1.02/1.27 (assume @p100 (forall @t324 (=> @t323 (=> @t311 (=> (forall @t171 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP @t322 @t303)) @t299)) (forall (@list @t314 @t313) (=> @t320 (=> @t312 @t315))))) @t321))))) % 1.02/1.27 (assume @p101 (forall (@list @t252 @t153 @t52 @t22) (= @t253 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t325) (tptp.c_FuncSet_OPi @t22 @t52 @t153 (tptp.c_COMBK @t158 @t22 @t252))) (tptp.c_FuncSet_Oextensional @t22 @t52 @t153))))) % 1.02/1.27 (assume @p102 (forall @t332 (=> @t331 (not (=> @t100 @t327))))) % 1.02/1.27 (assume @p103 (forall (@list @t22 @t20 @t34 @t26) (=> @t100 (=> @t326 @t331)))) % 1.02/1.27 (assume @p104 (forall @t334 (=> @t333 (not @t30)))) % 1.02/1.27 (assume @p105 (forall @t334 (=> @t27 (=> @t25 @t333)))) % 1.02/1.27 (assume @p106 (forall @t338 (= (tptp.hAPP (tptp.hAPP @t328 @t330) @t258) @t337))) % 1.02/1.27 (assume @p107 (forall @t338 (= @t337 (tptp.hAPP @t335 @t339)))) % 1.02/1.27 (assume @p108 (forall @t340 (= (tptp.hAPP @t329 @t330) @t330))) % 1.02/1.27 (assume @p109 (forall @t340 (= @t330 @t341))) % 1.02/1.27 (assume @p110 (forall @t228 (= (tptp.hAPP @t329 @t26) @t26))) % 1.02/1.27 (assume @p111 (forall @t332 (=> @t331 @t326))) % 1.02/1.27 (assume @p112 (forall @t332 (=> @t331 @t100))) % 1.02/1.27 (assume @p113 (forall @t334 (=> @t333 @t25))) % 1.02/1.27 (assume @p114 (forall @t334 (=> @t333 @t27))) % 1.02/1.27 (assume @p115 (forall @t334 (= @t333 (and @t27 @t25)))) % 1.02/1.27 (assume @p116 (forall @t342 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t328 @t201) @t200) @t34)) (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP (tptp.hAPP @t328 @t51) @t153)))))) % 1.02/1.27 (assume @p117 (forall @t347 (=> @t346 @t344))) % 1.02/1.27 (assume @p118 (forall @t349 (= @t344 (exists @t147 @t348)))) % 1.02/1.27 (assume @p119 (forall (@list @t38 @t33 @t34 @t69 @t52 @t22) (=> @t350 (=> (tptp.hBOOL (tptp.hAPP @t58 @t69)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t54 @t38)) @t69)) @t43))))) % 1.02/1.27 (assume @p120 (forall @t355 (= @t350 @t354))) % 1.02/1.27 (assume @p121 (forall @t357 (= (tptp.c_Predicate_ODomainP @t22 @t52 @t356 @t34) (tptp.hBOOL (tptp.hAPP @t96 @t343))))) % 1.02/1.27 (assume @p122 (forall @t362 (=> @t361 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t360) @t2) @t1) @t34) (tptp.hAPP (tptp.hAPP @t359 @t137) @t358))))) % 1.02/1.27 (assume @p123 (forall @t363 (=> @t240 (tptp.c_Predicate_ODomainP @t22 @t52 @t69 @t84)))) % 1.02/1.27 (assume @p124 (forall (@list @t33 @t34 @t153 @t51 @t52 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t366 @t161) @t160) @t34) @t33)) (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t364 @t51) @t153)))))) % 1.02/1.27 (assume @p125 (forall @t377 (=> @t376 @t375))) % 1.02/1.27 (assume @p126 (forall @t377 (=> @t361 @t375))) % 1.02/1.27 (assume @p127 (forall @t385 (=> @t376 (= (tptp.hAPP (tptp.hAPP @t359 @t384) @t378) @t383)))) % 1.02/1.27 (assume @p128 (forall @t377 (=> @t376 @t387))) % 1.02/1.27 (assume @p129 (forall @t377 (=> @t361 @t387))) % 1.02/1.27 (assume @p130 (forall @t388 (=> @t376 (= (tptp.hAPP @t380 (tptp.hAPP @t382 @t378)) @t383)))) % 1.02/1.27 (assume @p131 (forall @t390 (=> @t376 @t389))) % 1.02/1.27 (assume @p132 (forall @t390 (=> @t361 @t389))) % 1.02/1.27 (assume @p133 (forall @t391 (=> @t376 (= (tptp.hAPP @t382 @t384) @t384)))) % 1.02/1.27 (assume @p134 (forall @t390 (=> @t376 @t393))) % 1.02/1.27 (assume @p135 (forall @t390 (=> @t361 @t393))) % 1.02/1.27 (assume @p136 (forall @t391 (=> @t376 (= @t384 (tptp.hAPP @t380 @t381))))) % 1.02/1.27 (assume @p137 (forall @t394 (=> @t376 (= (tptp.hAPP @t372 @t371) @t371)))) % 1.02/1.27 (assume @p138 (forall @t395 (=> @t376 (= (tptp.hAPP @t382 @t381) @t381)))) % 1.02/1.27 (assume @p139 (forall @t77 (= (tptp.c_Relation_Oirrefl @t22 @t69) (forall @t8 (not @t76))))) % 1.02/1.27 (assume @p140 (forall @t349 (=> @t344 (not (forall @t147 (not @t348)))))) % 1.02/1.27 (assume @p141 (forall @t347 (=> @t346 (tptp.hBOOL (tptp.hAPP @t397 @t396))))) % 1.02/1.27 (assume @p142 (forall @t399 (= (tptp.hBOOL (tptp.hAPP @t294 @t398)) (and @t41 @t97)))) % 1.02/1.27 (assume @p143 (forall @t93 (=> @t92 (=> @t90 (tptp.hBOOL (tptp.hAPP @t211 @t398)))))) % 1.02/1.27 (assume @p144 (forall @t355 (=> @t354 @t350))) % 1.02/1.27 (assume @p145 (forall @t406 (=> @t281 (=> @t405 (=> (forall @t147 (=> @t404 (forall @t128 (=> @t403 (=> @t402 @t401))))) @t400))))) % 1.02/1.27 (assume @p146 (forall @t410 (=> @t409 (not (=> @t408 (not @t407)))))) % 1.02/1.27 (assume @p147 (forall (@list @t52 @t22 @t20 @t33 @t34 @t26) (=> @t408 (=> @t407 @t409)))) % 1.02/1.27 (assume @p148 (forall @t410 (=> @t409 @t407))) % 1.02/1.27 (assume @p149 (forall @t410 (=> @t409 @t408))) % 1.02/1.27 (assume @p150 (forall @t228 (= (tptp.c_Relation_ORange @t22 @t22 @t398) @t26))) % 1.02/1.27 (assume @p151 (forall @t228 (= (tptp.c_Relation_ODomain @t22 @t22 @t398) @t26))) % 1.02/1.27 (assume @p152 (forall @t228 (tptp.c_Relation_Osingle__valued @t22 @t22 @t398))) % 1.02/1.27 (assume @p153 (forall @t349 (= (tptp.hBOOL (tptp.hAPP @t89 @t414)) (exists @t147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t413 (tptp.hAPP (tptp.hAPP @t411 @t144) @t84)) @t69)))))) % 1.02/1.27 (assume @p154 (forall @t357 (= (tptp.c_Predicate_ORangeP @t22 @t52 @t356 @t34) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t216 @t34) @t396))))) % 1.02/1.27 (assume @p155 (forall (@list @t26 @t21 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t21) @t398)) (not (forall @t8 (=> @t246 (not (= @t21 @t72)))))))) % 1.02/1.27 (assume @p156 (forall (@list @t69 @t52 @t85 @t22) (=> (tptp.hBOOL (tptp.hAPP @t91 @t414)) (not (forall @t8 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t413 (tptp.hAPP (tptp.hAPP @t411 @t4) @t85)) @t69)))))))) % 1.02/1.27 (assume @p157 (forall @t415 (=> @t281 (=> @t107 (not (forall @t147 (=> @t404 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t145 @t85)) @t69)))))))))) % 1.02/1.27 (assume @p158 (forall @t418 (=> @t293 (=> @t40 (not (forall @t147 (=> @t417 (not (tptp.hBOOL (tptp.hAPP @t416 @t266)))))))))) % 1.02/1.27 (assume @p159 (forall @t406 (=> @t281 (=> @t400 (=> (forall (@list @t144 @t121) (=> @t403 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t127 @t85)) @t266)) (=> @t401 @t402)))) @t405))))) % 1.02/1.27 (assume @p160 (forall @t363 (=> @t240 (tptp.c_Predicate_ORangeP @t22 @t52 @t69 @t85)))) % 1.02/1.27 (assume @p161 (forall (@list @t132 @t69 @t52 @t22) (= (tptp.c_Predicate_ORangeP @t22 @t52 @t69 @t132) (exists (@list @t165) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t165) @t132)))))) % 1.02/1.27 (assume @p162 (forall @t421 (= (tptp.c_Relation_Ototal__on @t22 @t26 @t69) (forall @t8 (=> @t246 (forall @t181 (=> (tptp.hBOOL (tptp.hAPP @t420 @t26)) (=> @t419 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t180)) @t69)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 @t180) @t4)) @t69))))))))))) % 1.02/1.27 (assume @p163 (forall (@list @t2 @t69 @t52 @t33 @t34 @t22) (= (tptp.hBOOL (tptp.hAPP @t294 (tptp.c_Relation_Oinv__image @t52 @t22 @t69 @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t64 @t137) @t197)) @t69))))) % 1.02/1.27 (assume @p164 (forall @t424 (=> @t423 (=> @t422 @t97)))) % 1.02/1.27 (assume @p165 (forall @t424 (=> @t423 (=> @t422 @t95)))) % 1.02/1.27 (assume @p166 (forall (@list @t84 @t69 @t26 @t22) (=> @t423 (=> @t90 @t425)))) % 1.02/1.27 (assume @p167 (forall @t415 (=> @t427 @t281))) % 1.02/1.27 (assume @p168 (forall @t415 (=> @t212 @t427))) % 1.02/1.27 (assume @p169 (forall @t275 (=> @t274 @t428))) % 1.02/1.27 (assume @p170 (forall @t430 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t429) @t297))) % 1.02/1.27 (assume @p171 (forall @t430 (= (tptp.c_Transitive__Closure_Otrancl @t22 @t297) @t297))) % 1.02/1.27 (assume @p172 (forall @t77 (= (tptp.c_Relation_ODomain @t22 @t22 @t426) @t431))) % 1.02/1.27 (assume @p173 (forall @t77 (= (tptp.c_Relation_ORange @t22 @t22 @t426) (tptp.c_Relation_ORange @t22 @t22 @t69)))) % 1.02/1.27 (assume @p174 (forall @t228 (tptp.c_Relation_Orefl__on @t22 @t26 @t398))) % 1.02/1.27 (assume @p175 (forall @t282 (=> @t427 @t433))) % 1.02/1.27 (assume @p176 (forall @t282 (=> @t427 @t434))) % 1.02/1.27 (assume @p177 (forall @t282 (=> @t212 @t433))) % 1.02/1.27 (assume @p178 (forall (@list @t21 @t51 @t85 @t84 @t22) (=> (tptp.hBOOL (tptp.hAPP @t211 @t51)) (=> (tptp.hBOOL (tptp.hAPP @t278 @t51)) (tptp.hBOOL (tptp.hAPP @t276 @t429)))))) % 1.02/1.27 (assume @p179 (forall @t438 (=> @t423 (=> @t437 (tptp.c_Relation_Orefl__on @t22 @t330 (tptp.hAPP @t436 @t113)))))) % 1.02/1.27 (assume @p180 (forall (@list @t38 @t69 @t33 @t34 @t22) (=> @t295 (=> (tptp.hBOOL (tptp.hAPP @t291 @t426)) @t439)))) % 1.02/1.27 (assume @p181 (forall @t282 (=> @t427 @t440))) % 1.02/1.27 (assume @p182 (forall @t282 (=> @t281 @t434))) % 1.02/1.27 (assume @p183 (forall (@list @t51 @t85 @t84 @t22) (=> (tptp.hBOOL (tptp.hAPP @t211 @t297)) (or @t92 (and @t107 (tptp.hBOOL (tptp.hAPP @t211 @t429))))))) % 1.02/1.27 (assume @p184 (forall @t282 (=> @t212 @t440))) % 1.02/1.27 (assume @p185 (forall @t442 (= @t298 (or @t41 (and @t42 @t441))))) % 1.02/1.27 (assume @p186 (forall @t442 (=> @t441 (exists @t128 (and (tptp.hBOOL (tptp.hAPP @t444 @t297)) (tptp.hBOOL (tptp.hAPP @t443 @t51))))))) % 1.02/1.27 (assume @p187 (forall @t442 (=> @t441 (exists @t128 (and (tptp.hBOOL (tptp.hAPP @t444 @t51)) (tptp.hBOOL (tptp.hAPP @t443 @t297))))))) % 1.02/1.27 (assume @p188 (forall @t77 (= @t446 @t445))) % 1.02/1.27 (assume @p189 (forall @t415 (=> @t427 (=> (not @t212) (not (forall (@list @t447) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t117 @t447)) @t426)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP (tptp.hAPP @t70 @t447) @t85)) @t69)))))))))) % 1.02/1.27 (assume @p190 (forall @t418 (=> @t439 (=> (not (tptp.hBOOL (tptp.hAPP @t292 @t69))) (not (forall @t147 (=> @t417 (not (tptp.hBOOL (tptp.hAPP @t416 @t426)))))))))) % 1.02/1.27 (assume @p191 (forall @t77 (=> @t445 @t446))) % 1.02/1.27 (assume @p192 (forall @t450 (= (tptp.c_Wellfounded_Oacyclic @t22 @t449) (and @t446 @t448)))) % 1.02/1.27 (assume @p193 (forall (@list @t33 @t34 @t69 @t22) (=> @t445 (=> @t422 @t42)))) % 1.02/1.27 (assume @p194 (forall (@list @t306 @t34 @t69 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Otranclp @t22 @t232) @t34) @t306)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t141 @t306)) @t426))))) % 1.02/1.27 (assume @p195 (forall @t77 (=> @t446 (tptp.c_Relation_Oantisym @t22 @t266)))) % 1.02/1.27 (assume @p196 (forall (@list @t22 @t85 @t84 @t69) (=> @t240 @t453))) % 1.02/1.27 (assume @p197 (forall @t457 (=> (=> (not @t456) @t92) @t455))) % 1.02/1.27 (assume @p198 (forall @t459 (=> @t458 (=> @t107 @t90)))) % 1.02/1.27 (assume @p199 (forall (@list @t20 @t84 @t22) (tptp.hBOOL (tptp.hAPP @t89 @t460)))) % 1.02/1.27 (assume @p200 (forall @t459 (= @t458 @t461))) % 1.02/1.27 (assume @p201 (forall @t464 (=> @t214 (=> (not @t98) (= (= @t463 @t462) @t31))))) % 1.02/1.27 (assume @p202 (forall @t457 (=> @t456 @t455))) % 1.02/1.27 (assume @p203 (forall @t466 (=> @t90 (= @t465 @t26)))) % 1.02/1.27 (assume @p204 (forall @t468 (= (tptp.hAPP (tptp.hAPP @t328 @t465) @t460) @t467))) % 1.02/1.27 (assume @p205 (forall @t347 (= (tptp.c_Relation_ODomain @t22 @t52 (tptp.c_Set_Oinsert @t56 @t120 @t69)) (tptp.c_Set_Oinsert @t22 @t84 @t343)))) % 1.02/1.27 (assume @p206 (forall (@list @t69 @t85 @t84 @t22 @t52) (= (tptp.c_Relation_ORange @t52 @t22 (tptp.c_Set_Oinsert @t412 (tptp.hAPP (tptp.hAPP @t411 @t84) @t85) @t69)) (tptp.c_Set_Oinsert @t22 @t85 @t414)))) % 1.02/1.27 (assume @p207 (forall @t296 (=> (tptp.hBOOL (tptp.hAPP @t469 @t33)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t451 @t33) @t38)) (tptp.hBOOL (tptp.hAPP @t469 @t38)))))) % 1.02/1.27 (assume @p208 (forall (@list @t21 @t85 @t84 @t69 @t22) (=> @t453 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t85) @t21)) @t470)))) % 1.02/1.27 (assume @p209 (forall (@list @t21 @t22 @t85 @t84 @t69) (=> @t240 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t451 @t85) @t21)) @t470)))) % 1.02/1.27 (assume @p210 (forall (@list @t471 @t126 @t69 @t22) (= (tptp.hBOOL (tptp.hAPP @t473 @t471)) (or (tptp.hBOOL (tptp.hAPP @t476 @t471)) (exists @t475 (and @t474 (tptp.hBOOL (tptp.hAPP @t472 @t471)))))))) % 1.02/1.27 (assume @p211 (forall (@list @t132 @t126 @t69 @t22) (= (tptp.hBOOL (tptp.hAPP @t473 @t132)) (or (tptp.hBOOL (tptp.hAPP @t476 @t132)) (exists @t475 (and @t474 (tptp.hBOOL (tptp.hAPP @t472 @t132)))))))) % 1.02/1.27 (assume @p212 (forall (@list @t34 @t26 @t33 @t22) (= (tptp.hBOOL (tptp.hAPP @t477 @t34)) (or (= @t33 @t34) @t100)))) % 1.02/1.27 (assume @p213 (forall @t399 (= (tptp.c_Set_Oinsert @t22 @t34 @t477) (tptp.c_Set_Oinsert @t22 @t33 @t463)))) % 1.02/1.27 (assume @p214 (forall @t101 (= (tptp.c_Set_Oinsert @t22 @t34 @t463) @t463))) % 1.02/1.27 (assume @p215 (forall @t481 @t480)) % 1.02/1.27 (assume @p216 (forall @t468 @t483)) % 1.02/1.27 (assume @p217 (forall @t481 @t484)) % 1.02/1.27 (assume @p218 (forall @t468 @t486)) % 1.02/1.27 (assume @p219 (forall @t481 (and @t480 @t484))) % 1.02/1.27 (assume @p220 (forall @t468 (and @t483 @t486))) % 1.02/1.27 (assume @p221 (forall @t228 (tptp.c_Relation_Oantisym @t22 @t398))) % 1.02/1.27 (assume @p222 (forall (@list @t85 @t84 @t69 @t22) (=> @t487 (=> @t212 (=> (tptp.hBOOL (tptp.hAPP @t268 @t69)) @t92))))) % 1.02/1.27 (assume @p223 (forall @t77 (= @t487 @t490))) % 1.02/1.27 (assume @p224 (forall (@list @t252 @t2 @t52 @t153 @t34 @t22) (=> @t251 (=> (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_FuncSet_Oextensional__funcset @t22 @t52 (tptp.c_Set_Oinsert @t22 @t34 @t153) @t252))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 (tptp.c_Fun_Ofun__upd @t22 @t52 @t2 @t34 @t192)) @t253)))))) % 1.02/1.27 (assume @p225 (forall (@list @t34 @t153 @t2 @t52 @t252 @t33 @t22) (=> (tptp.hBOOL (tptp.hAPP @t94 @t252)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t492 @t2) (tptp.c_FuncSet_Oextensional__funcset @t52 @t22 @t153 @t252))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t492 @t491) (tptp.c_FuncSet_Oextensional__funcset @t52 @t22 (tptp.c_Set_Oinsert @t52 @t34 @t153) @t252))))))) % 1.02/1.27 (assume @p226 (forall @t450 (= (tptp.c_Wellfounded_Owf @t22 @t449) (and @t493 @t448)))) % 1.02/1.27 (assume @p227 (forall @t77 (=> @t490 @t487))) % 1.02/1.27 (assume @p228 (forall @t497 (tptp.c_Orderings_Oord__class_Oless__eq @t198 (tptp.c_Relation_ORange @t52 @t22 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t496) @t26) @t20)) (tptp.hAPP (tptp.hAPP @t328 @t495) @t494)))) % 1.02/1.27 (assume @p229 (forall @t340 (=> @t499 (=> @t498 @t31)))) % 1.02/1.27 (assume @p230 (forall (@list @t21 @t20 @t26 @t22) (=> @t499 (=> @t27 @t25)))) % 1.02/1.27 (assume @p231 (forall (@list @t2 @t52 @t69 @t22) (=> @t493 (tptp.c_Wellfounded_Owf @t52 (tptp.c_Relation_Oinv__image @t22 @t52 @t69 @t2))))) % 1.02/1.27 (assume @p232 (forall (@list @t500 @t52 @t501 @t22) (=> (tptp.c_Wellfounded_Owf @t22 @t501) (=> (tptp.c_Wellfounded_Owf @t52 @t500) (tptp.c_Wellfounded_Owf @t56 (tptp.c_Wellfounded_Olex__prod @t22 @t52 @t501 @t500)))))) % 1.02/1.27 (assume @p233 (forall (@list @t84 @t265 @t258 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t258 @t265) (tptp.c_Orderings_Oord__class_Oless__eq @t198 (tptp.c_Set_Oinsert @t22 @t84 @t258) (tptp.c_Set_Oinsert @t22 @t84 @t265))))) % 1.02/1.27 (assume @p234 (forall (@list @t85 @t20 @t26 @t22) (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t26 @t454)))) % 1.02/1.27 (assume @p235 (forall (@list @t84 @t20 @t22) (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t20 @t460))) % 1.02/1.27 (assume @p236 (forall @t505 (=> @t504 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t330 (tptp.hAPP @t502 @t265)))))) % 1.02/1.27 (assume @p237 (forall (@list @t20 @t26 @t258 @t22) (=> @t506 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t258 @t20) (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t258 @t330))))) % 1.02/1.27 (assume @p238 (forall @t507 (=> @t498 (= @t330 @t20)))) % 1.02/1.27 (assume @p239 (forall @t340 (=> @t499 (= @t330 @t26)))) % 1.02/1.27 (assume @p240 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t330 @t20))) % 1.02/1.27 (assume @p241 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t330 @t26))) % 1.02/1.27 (assume @p242 (forall (@list @t508 @t22 @t34 @t59) (=> @t68 (=> @t511 @t510)))) % 1.02/1.27 (assume @p243 (forall (@list @t34 @t508 @t59 @t22) (=> @t511 (=> @t68 @t510)))) % 1.02/1.27 (assume @p244 (forall @t228 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t26 @t26))) % 1.02/1.27 (assume @p245 (forall @t512 (= @t31 (and @t499 @t498)))) % 1.02/1.27 (assume @p246 (forall @t512 (=> @t31 @t499))) % 1.02/1.27 (assume @p247 (forall @t512 (=> @t31 @t498))) % 1.02/1.27 (assume @p248 (forall @t338 (=> @t499 (=> @t513 @t504)))) % 1.02/1.27 (assume @p249 (forall @t512 (=> @t31 (not (=> @t499 (not @t498)))))) % 1.02/1.27 (assume @p250 (forall @t514 (=> @t493 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t272 @t69) (tptp.c_Wellfounded_Owf @t22 @t272))))) % 1.02/1.27 (assume @p251 (forall @t517 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t515 @t516) (tptp.c_Orderings_Oord__class_Oless__eq @t198 (tptp.c_Wellfounded_Oacc @t22 @t516) (tptp.c_Wellfounded_Oacc @t22 @t515))))) % 1.02/1.27 (assume @p252 (forall (@list @t20 @t52 @t26 @t518 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t518 @t26) (tptp.c_Orderings_Oord__class_Oless__eq @t325 @t219 (tptp.c_FuncSet_OPi @t22 @t52 @t518 @t20))))) % 1.02/1.27 (assume @p253 (forall @t520 (=> @t519 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t343 (tptp.c_Relation_ODomain @t22 @t52 @t113))))) % 1.02/1.27 (assume @p254 (forall @t524 (=> @t376 (=> @t523 (not (=> @t522 (not @t521))))))) % 1.02/1.27 (assume @p255 (forall @t528 (=> @t376 (=> @t527 (=> @t526 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t384 (tptp.hAPP (tptp.hAPP @t359 @t378) @t525))))))) % 1.02/1.27 (assume @p256 (forall @t377 (=> @t376 (=> @t530 (=> @t529 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t370)))))) % 1.02/1.27 (assume @p257 (forall @t524 (=> @t376 (=> @t522 (=> @t521 @t523))))) % 1.02/1.27 (assume @p258 (forall @t532 (=> @t376 (=> @t531 (= @t374 @t368))))) % 1.02/1.27 (assume @p259 (forall @t390 (=> @t376 (=> @t530 (= @t374 @t371))))) % 1.02/1.27 (assume @p260 (forall (@list @t381 @t371 @t379 @t22) (=> @t376 (=> @t534 @t533)))) % 1.02/1.27 (assume @p261 (forall @t536 (=> @t376 (=> @t535 @t533)))) % 1.02/1.27 (assume @p262 (forall @t539 (=> @t376 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t34 (tptp.hAPP (tptp.hAPP @t359 @t33) @t38)) (and @t538 @t537))))) % 1.02/1.27 (assume @p263 (forall @t210 (=> @t376 (= @t538 (= (tptp.hAPP (tptp.hAPP @t359 @t34) @t33) @t34))))) % 1.02/1.27 (assume @p264 (forall @t390 (=> @t376 @t540))) % 1.02/1.27 (assume @p265 (forall @t390 (=> @t361 @t540))) % 1.02/1.27 (assume @p266 (forall @t390 (=> @t376 @t541))) % 1.02/1.27 (assume @p267 (forall @t390 (=> @t361 @t541))) % 1.02/1.27 (assume @p268 (forall @t332 (=> @t499 (=> @t97 @t98)))) % 1.02/1.27 (assume @p269 (forall @t464 (=> @t97 (=> @t499 @t98)))) % 1.02/1.27 (assume @p270 (forall @t77 (=> @t493 (tptp.c_Wellfounded_Owf @t22 @t426)))) % 1.02/1.27 (assume @p271 (forall @t545 (=> @t544 @t543))) % 1.02/1.27 (assume @p272 (forall @t202 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t51 @t153) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t153 @t297) (= @t546 @t297))))) % 1.02/1.27 (assume @p273 (forall @t545 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t69 @t542) @t543))) % 1.02/1.27 (assume @p274 (forall @t548 (=> @t493 (tptp.c_Wellfounded_Owf @t22 (tptp.hAPP @t436 @t547))))) % 1.02/1.27 (assume @p275 (forall @t548 (=> @t493 (tptp.c_Wellfounded_Owf @t22 (tptp.hAPP (tptp.hAPP @t435 @t547) @t69))))) % 1.02/1.27 (assume @p276 (forall @t77 (=> @t493 @t446))) % 1.02/1.27 (assume @p277 (forall @t545 (=> @t544 (=> (tptp.c_Relation_Oantisym @t22 @t113) @t487)))) % 1.02/1.27 (assume @p278 (forall (@list @t69 @t113 @t22) (=> (tptp.c_Wellfounded_Oacyclic @t22 @t113) (=> @t544 @t446)))) % 1.02/1.27 (assume @p279 (forall @t520 (=> @t519 (=> (tptp.c_Relation_Osingle__valued @t22 @t52 @t113) @t350)))) % 1.02/1.27 (assume @p280 (forall @t202 (= (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t201 @t200) (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t51 @t153)))) % 1.02/1.27 (assume @p281 (forall @t239 (=> @t493 (not @t425)))) % 1.02/1.27 (assume @p282 (forall (@list @t34 @t84 @t69 @t22) (=> @t493 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t117 @t34)) @t69)) (not @t143))))) % 1.02/1.27 (assume @p283 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t463 @t20) (and @t98 @t499)))) % 1.02/1.27 (assume @p284 (forall @t464 (=> @t214 (= (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t26 @t462) @t499)))) % 1.02/1.27 (assume @p285 (forall @t77 (= @t493 (forall @t8 @t207)))) % 1.02/1.27 (assume @p286 (forall @t233 (=> @t493 @t229))) % 1.02/1.27 (assume @p287 (forall (@list @t113 @t69 @t272 @t22) (=> @t428 (=> @t544 (tptp.hBOOL (tptp.hAPP @t273 (tptp.c_Transitive__Closure_Otrancl @t22 @t113))))))) % 1.02/1.27 (assume @p288 (forall @t286 (=> @t243 (=> @t499 (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_FuncSet_Oextensional @t22 @t52 @t20))))))) % 1.02/1.27 (assume @p289 (forall @t497 (tptp.c_Orderings_Oord__class_Oless__eq @t198 (tptp.c_Relation_ODomain @t22 @t52 (tptp.hAPP (tptp.hAPP @t364 @t26) @t20)) (tptp.hAPP (tptp.hAPP @t328 @t550) @t549)))) % 1.02/1.27 (assume @p290 (forall (@list @t34 @t2 @t52 @t22) (= (tptp.c_Fun_Ofun__upd @t22 @t52 @t2 @t34 @t137) @t2))) % 1.02/1.27 (assume @p291 (forall @t394 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t371 @t371)))) % 1.02/1.27 (assume @p292 (forall (@list @t2 @t22) (tptp.c_Wellfounded_Owf @t22 (tptp.c_Wellfounded_Omeasure @t22 @t2)))) % 1.02/1.27 (assume @p293 (forall (@list @t34 @t1 @t2 @t22 @t52) (=> @t553 (=> @t552 (tptp.c_Orderings_Oord__class_Oless__eq @t52 @t137 @t358))))) % 1.02/1.27 (assume @p294 (forall @t517 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t554 @t515 @t516) (tptp.c_Orderings_Oord__class_Oless__eq @t198 (tptp.c_Wellfounded_Oaccp @t22 @t516) (tptp.c_Wellfounded_Oaccp @t22 @t515))))) % 1.02/1.27 (assume @p295 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless__eq @t365 @t161 @t160) (tptp.c_Orderings_Oord__class_Oless__eq @t155 @t51 @t153)))) % 1.02/1.27 (assume @p296 (forall @t390 (=> @t555 (or @t530 @t531)))) % 1.02/1.27 (assume @p297 (forall @t210 (=> @t557 (= @t41 (and @t538 @t556))))) % 1.02/1.27 (assume @p298 (forall @t390 (=> @t551 (=> @t558 @t530)))) % 1.02/1.27 (assume @p299 (forall (@list @t34 @t33 @t22) (=> @t557 (=> @t556 (= @t538 @t41))))) % 1.02/1.27 (assume @p300 (forall @t385 (=> @t560 (=> @t559 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t379 @t378) @t527))))) % 1.02/1.27 (assume @p301 (forall @t385 (=> @t557 (=> @t559 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t378 @t379) @t561))))) % 1.02/1.27 (assume @p302 (forall @t385 (=> @t560 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t381 @t379) (=> @t562 @t527))))) % 1.02/1.27 (assume @p303 (forall @t388 (=> @t557 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t379 @t381) (=> @t562 @t561))))) % 1.02/1.27 (assume @p304 (forall @t390 (=> @t557 (=> @t530 (=> @t531 @t558))))) % 1.02/1.27 (assume @p305 (forall @t377 (=> @t551 (=> @t530 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t368 @t367) @t529))))) % 1.02/1.27 (assume @p306 (forall @t532 (=> @t557 (=> @t531 (=> @t530 @t558))))) % 1.02/1.27 (assume @p307 (forall @t564 (=> @t557 (=> @t531 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t367 @t368) @t563))))) % 1.02/1.27 (assume @p308 (forall @t390 (=> @t555 (=> (not @t530) @t531)))) % 1.02/1.27 (assume @p309 (forall (@list @t33 @t34 @t2 @t52 @t22) (= (= @t566 @t2) @t565))) % 1.02/1.27 (assume @p310 (forall (@list @t38 @t33 @t34 @t2 @t52 @t22) (= (tptp.c_Fun_Ofun__upd @t22 @t52 @t566 @t34 @t38) (tptp.c_Fun_Ofun__upd @t22 @t52 @t2 @t34 @t38)))) % 1.02/1.27 (assume @p311 (forall (@list @t33 @t34 @t2 @t22 @t52) (= (tptp.hAPP @t491 @t34) @t33))) % 1.02/1.27 (assume @p312 (forall @t570 (and (=> @t568 (= @t567 @t33)) @t569))) % 1.02/1.27 (assume @p313 (forall (@list @t571 @t85 @t572 @t52 @t22 @t21 @t84) (=> (not @t573) (= (tptp.c_Fun_Ofun__upd @t22 @t52 (tptp.c_Fun_Ofun__upd @t22 @t52 @t572 @t84 @t85) @t21 @t571) (tptp.c_Fun_Ofun__upd @t22 @t52 (tptp.c_Fun_Ofun__upd @t22 @t52 @t572 @t21 @t571) @t84 @t85))))) % 1.02/1.27 (assume @p314 (forall @t570 @t569)) % 1.02/1.27 (assume @p315 (forall (@list @t22 @t52 @t33 @t34 @t2) (=> @t565 (= @t491 @t2)))) % 1.02/1.27 (assume @p316 (forall (@list @t85 @t2 @t52 @t22 @t84 @t34) (and (=> @t103 (= @t574 @t85)) (=> @t104 (= @t574 @t137))))) % 1.02/1.27 (assume @p317 (forall (@list @t1 @t2 @t22 @t52) (=> @t553 (= @t552 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t52 @t6 @t5)))))) % 1.02/1.27 (assume @p318 (forall (@list @t22 @t51 @t52 @t59) (=> (forall @t8 (=> @t575 (tptp.c_Wellfounded_Owf @t52 (tptp.hAPP @t51 @t4)))) (tptp.c_Wellfounded_Owf @t56 @t60)))) % 1.02/1.27 (assume @p319 (forall (@list @t52 @t22 @t576 @t152) (=> (tptp.c_Wellfounded_Owf @t22 @t152) (forall @t8 (= (tptp.hAPP @t577 @t4) (tptp.hAPP (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t138 @t577) @t152) @t4)) @t4)))))) % 1.02/1.27 (assume @p320 (forall (@list @t84 @t578 @t52 @t69 @t22) (=> @t493 (= (tptp.hAPP @t579 @t84) (tptp.hAPP (tptp.hAPP @t578 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t138 @t579) @t69) @t84)) @t84))))) % 1.02/1.27 (assume @p321 (forall (@list @t33 @t34 @t508 @t59 @t52 @t22) (=> @t582 (=> @t581 @t580)))) % 1.02/1.27 (assume @p322 (forall (@list @t508 @t52 @t22 @t33 @t34 @t59) (=> @t581 (=> @t582 @t580)))) % 1.02/1.27 (assume @p323 (forall (@list @t84 @t578 @t69 @t52 @t22 @t2) (=> (= @t2 @t579) (=> @t493 (= (tptp.hAPP @t2 @t84) (tptp.hAPP (tptp.hAPP @t578 @t140) @t84)))))) % 1.02/1.27 (assume @p324 (forall @t586 (= (tptp.hAPP (tptp.c_Recdef_Owfrec @t52 @t22 @t51 @t124) @t34) (tptp.c_HOL_OThe @t22 (tptp.c_Recdef_Owfrec__rel @t52 @t22 @t51 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t360 @t585 @t360) (tptp.hAPP (tptp.c_COMBB @t584 (tptp.tc_fun @t585 @t360) @t360 (tptp.c_COMBS @t52 @t52 @t22)) (tptp.hAPP (tptp.c_COMBB @t584 @t584 @t360 (tptp.c_COMBB @t360 @t360 @t52 @t124)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t360 (tptp.tc_fun @t65 tptp.tc_HOL_Obool) @t584) @t583) @t51)))) @t285) @t34))))) % 1.02/1.27 (assume @p325 (forall (@list @t51 @t22 @t33 @t34 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t137 @t197) (=> (tptp.hBOOL (tptp.hAPP @t294 @t51)) (tptp.hBOOL (tptp.hAPP @t294 @t587)))))) % 1.02/1.27 (assume @p326 (forall (@list @t34 @t124 @t51 @t52 @t22) (=> @t236 (=> @t589 (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t203 @t4)) (forall @t147 (=> (tptp.hBOOL (tptp.hAPP @t203 @t144)) @t588)))))))) % 1.02/1.27 (assume @p327 (forall (@list @t2 @t51 @t22) (=> @t589 (tptp.c_Wellfounded_Owf @t22 @t587)))) % 1.02/1.27 (assume @p328 (forall (@list @t34 @t124 @t52 @t51 @t22) (and (=> @t589 (= @t590 (tptp.c_Nitpick_Owf__wfrec_H @t22 @t52 @t51 @t124 @t34))) (=> (not @t589) (= @t590 (tptp.c_HOL_OThe @t52 (tptp.c_Recdef_Owfrec__rel @t22 @t52 @t51 @t187 @t34))))))) % 1.02/1.27 (assume @p329 (forall @t592 (= (tptp.c_HOL_OThe @t22 @t591) @t34))) % 1.02/1.27 (assume @p330 (forall @t593 (= (tptp.c_HOL_OThe @t22 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t22 @t22 tptp.tc_HOL_Obool) tptp.c_fequal) @t84)) @t84))) % 1.02/1.27 (assume @p331 (forall @t586 (= (tptp.c_Nitpick_Owf__wfrec_H @t52 @t22 @t51 @t124 @t34) (tptp.hAPP (tptp.hAPP @t124 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t583 (tptp.c_Nitpick_Owf__wfrec @t52 @t22 @t51 @t124)) @t51) @t34)) @t34)))) % 1.02/1.27 (assume @p332 (forall (@list @t258 @t20 @t52 @t26 @t22) (=> (forall @t8 (=> @t246 (tptp.c_Orderings_Oord__class_Oless__eq @t158 @t244 (tptp.hAPP @t258 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t325 @t219 (tptp.c_FuncSet_OPi @t22 @t52 @t26 @t258))))) % 1.02/1.27 (assume @p333 (forall @t77 (= (tptp.c_Wellfounded_OwfP @t22 @t232) @t493))) % 1.02/1.27 (assume @p334 (forall @t594 (tptp.c_Wellfounded_OwfP @t22 (tptp.c_COMBK @t198 @t22 (tptp.c_COMBK tptp.tc_HOL_Obool @t22 tptp.c_fFalse))))) % 1.02/1.27 (assume @p335 (forall @t77 (= @t597 (forall @t596 (tptp.hBOOL (tptp.hAPP @t237 @t595)))))) % 1.02/1.27 (assume @p336 (forall @t233 (=> @t597 (tptp.hBOOL (tptp.hAPP @t237 @t34))))) % 1.02/1.27 (assume @p337 (forall @t77 (=> @t597 (tptp.c_Wellfounded_OwfP @t22 @t451)))) % 1.02/1.27 (assume @p338 (forall @t514 (=> @t597 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t554 @t272 @t69) (tptp.c_Wellfounded_OwfP @t22 @t272))))) % 1.02/1.27 (assume @p339 (forall @t430 (=> @t589 (tptp.c_Wellfounded_OwfP @t22 (tptp.c_FunDef_Oin__rel @t22 @t22 @t51))))) % 1.02/1.27 (assume @p340 (forall @t77 (= @t493 (forall (@list @t598) (=> (exists @t8 @t599) (exists @t8 (and @t599 (forall @t147 (=> @t489 (not (tptp.hBOOL (tptp.hAPP @t235 @t598)))))))))))) % 1.02/1.27 (assume @p341 (forall (@list @t26 @t69 @t85 @t84 @t22) (=> @t281 (=> @t601 @t461)))) % 1.02/1.27 (assume @p342 (forall (@list @t34 @t2 @t26 @t52 @t22) (= (tptp.c_Fun_Othe__inv__into @t22 @t52 @t26 @t2 @t34) (tptp.c_HOL_OThe @t22 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t22 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) @t22 tptp.c_fconj) (tptp.hAPP @t199 @t26))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t22 @t52 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBB @t52 @t158 @t22 tptp.c_fequal) @t2)) @t34)))))) % 1.02/1.27 (assume @p343 (forall @t602 (=> @t601 (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t426 @t600)))) % 1.02/1.27 (assume @p344 (forall @t228 (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t398 @t600))) % 1.02/1.27 (assume @p345 (forall @t421 (= @t423 (and @t601 @t603)))) % 1.02/1.27 (assume @p346 (forall (@list @t20 @t85 @t52 @t26 @t84 @t22) (=> @t90 (=> @t606 @t605)))) % 1.02/1.27 (assume @p347 (forall @t611 (=> @t610 (= (tptp.c_Orderings_Oord__class_Oless__eq @t496 @t609 @t608) (tptp.c_Orderings_Oord__class_Oless__eq @t158 @t26 @t20))))) % 1.02/1.27 (assume @p348 (forall @t612 (=> @t605 (not (=> @t90 (not @t606)))))) % 1.02/1.27 (assume @p349 (forall (@list @t613 @t614 @t379 @t381 @t52 @t22) (=> (= (tptp.hAPP (tptp.hAPP @t53 @t381) @t379) (tptp.hAPP (tptp.hAPP @t53 @t614) @t613)) (not (=> (= @t381 @t614) (not (= @t379 @t613))))))) % 1.02/1.27 (assume @p350 (forall (@list @t114 @t115 @t85 @t84 @t52 @t22) (= (= @t120 @t118) (and @t116 (= @t85 @t114))))) % 1.02/1.27 (assume @p351 (forall (@list @t52 @t22 @t59) (= (forall @t596 (tptp.hBOOL (tptp.hAPP @t59 @t595))) (forall @t171 (tptp.hBOOL (tptp.hAPP @t59 @t303)))))) % 1.02/1.27 (assume @p352 (forall @t611 (=> @t610 (= (= @t609 @t608) @t31)))) % 1.02/1.27 (assume @p353 (forall @t620 (= (tptp.c_Product__Type_OSigma @t22 @t52 @t615 (tptp.hAPP (tptp.hAPP @t619 (tptp.hAPP (tptp.c_COMBB @t158 @t618 @t22 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t158)) @t26)) @t20)) (tptp.hAPP (tptp.hAPP @t364 @t617) @t616)))) % 1.02/1.27 (assume @p354 (forall @t624 (= (tptp.c_Product__Type_OSigma @t22 @t52 @t330 @t621) (tptp.hAPP (tptp.hAPP @t364 @t623) @t622)))) % 1.02/1.27 (assume @p355 (forall @t628 (= (tptp.c_Product__Type_OSigma @t22 @t52 (tptp.hAPP (tptp.hAPP @t328 @t615) @t625) @t258) (tptp.hAPP (tptp.hAPP @t364 @t627) @t626)))) % 1.02/1.27 (assume @p356 (forall @t612 (= @t605 (and @t90 @t606)))) % 1.02/1.27 (assume @p357 (forall @t612 (=> @t605 @t90))) % 1.02/1.27 (assume @p358 (forall @t612 (=> @t605 @t606))) % 1.02/1.27 (assume @p359 (forall @t602 (=> @t601 (=> @t603 @t423)))) % 1.02/1.27 (assume @p360 (forall (@list @t85 @t84 @t629 @t22 @t259 @t52) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t52 @t259 @t22 @t629 @t630) (tptp.hAPP (tptp.hAPP @t629 @t84) @t85)))) % 1.02/1.27 (assume @p361 (forall (@list @t20 @t26 @t21 @t52 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t21) @t604)) (not (forall @t8 (=> @t246 (forall @t147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t216 @t144) @t244)) (not (= @t21 @t352)))))))))) % 1.02/1.27 (assume @p362 (forall (@list @t265 @t20 @t52 @t258 @t26 @t22) (=> @t504 (=> (forall @t8 (=> @t246 (tptp.c_Orderings_Oord__class_Oless__eq @t158 @t244 (tptp.hAPP @t265 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t155 @t604 (tptp.c_Product__Type_OSigma @t22 @t52 @t258 @t265)))))) % 1.02/1.27 (assume @p363 (forall (@list @t85 @t84 @t21 @t22 @t259 @t52) (= (tptp.c_Product__Type_Ointernal__split @t52 @t259 @t22 @t21 @t630) (tptp.hAPP (tptp.hAPP @t21 @t84) @t85)))) % 1.02/1.27 (assume @p364 (forall (@list @t20 @t85 @t26 @t84 @t52 @t22) (= (tptp.c_Product__Type_OSigma @t22 @t52 @t465 @t631) (tptp.c_Set_Oinsert @t56 @t120 (tptp.hAPP (tptp.hAPP @t632 (tptp.c_Product__Type_OSigma @t22 @t52 @t26 @t631)) (tptp.c_Product__Type_OSigma @t22 @t52 @t465 @t224)))))) % 1.02/1.27 (assume @p365 (forall @t332 (=> @t636 (=> (not @t100) @t326)))) % 1.02/1.27 (assume @p366 (forall (@list @t22 @t26 @t34 @t20) (=> (=> @t327 @t100) @t636))) % 1.02/1.27 (assume @p367 (forall @t638 (=> (=> @t29 @t27) @t637))) % 1.02/1.27 (assume @p368 (forall @t334 (=> @t637 @t28))) % 1.02/1.27 (assume @p369 (forall @t628 (= (tptp.c_Product__Type_OSigma @t22 @t52 (tptp.hAPP (tptp.hAPP @t633 @t615) @t625) @t258) (tptp.hAPP (tptp.hAPP @t632 @t627) @t626)))) % 1.02/1.27 (assume @p370 (forall @t624 (= (tptp.c_Product__Type_OSigma @t22 @t52 @t635 @t621) (tptp.hAPP (tptp.hAPP @t632 @t623) @t622)))) % 1.02/1.27 (assume @p371 (forall @t620 (= (tptp.c_Product__Type_OSigma @t22 @t52 @t615 (tptp.hAPP (tptp.hAPP @t619 (tptp.hAPP (tptp.c_COMBB @t158 @t618 @t22 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t158)) @t26)) @t20)) (tptp.hAPP (tptp.hAPP @t632 @t617) @t616)))) % 1.02/1.27 (assume @p372 (forall @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t641 @t640))) % 1.02/1.27 (assume @p373 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t26 @t635))) % 1.02/1.27 (assume @p374 (forall @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t20 @t635))) % 1.02/1.27 (assume @p375 (forall @t340 (= @t499 @t642))) % 1.02/1.27 (assume @p376 (forall @t340 (=> @t499 @t642))) % 1.02/1.27 (assume @p377 (forall @t507 (=> @t498 (= @t635 @t26)))) % 1.02/1.27 (assume @p378 (forall (@list @t20 @t258 @t26 @t22) (=> @t504 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t635 @t258))))) % 1.02/1.27 (assume @p379 (forall @t505 (=> @t504 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t635 (tptp.hAPP @t643 @t265)))))) % 1.02/1.27 (assume @p380 (forall @t390 (=> @t361 @t647))) % 1.02/1.27 (assume @p381 (forall @t390 (=> @t648 @t647))) % 1.02/1.27 (assume @p382 (forall @t532 (=> @t361 @t649))) % 1.02/1.27 (assume @p383 (forall @t532 (=> @t648 @t649))) % 1.02/1.27 (assume @p384 (forall @t210 (=> @t648 (= @t538 (= @t650 @t33))))) % 1.02/1.27 (assume @p385 (forall @t539 (=> @t648 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t650 @t38) (and @t537 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t33 @t38)))))) % 1.02/1.27 (assume @p386 (forall @t524 (=> @t648 (=> @t522 @t653)))) % 1.02/1.27 (assume @p387 (forall (@list @t381 @t379 @t371 @t22) (=> @t648 (=> @t521 @t653)))) % 1.02/1.27 (assume @p388 (forall @t390 (=> @t648 (=> @t530 (= @t646 @t368))))) % 1.02/1.27 (assume @p389 (forall @t532 (=> @t648 (=> @t531 (= @t646 @t371))))) % 1.02/1.27 (assume @p390 (forall @t536 (=> @t648 (=> @t535 (=> @t534 @t654))))) % 1.02/1.27 (assume @p391 (forall @t564 (=> @t648 (=> @t531 (=> @t563 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t656 @t371)))))) % 1.02/1.27 (assume @p392 (forall @t528 (=> @t648 (=> @t527 (=> @t526 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t652 (tptp.hAPP (tptp.hAPP @t644 @t378) @t525))))))) % 1.02/1.27 (assume @p393 (forall (@list @t371 @t379 @t381 @t22) (=> @t648 (=> @t654 (not (=> @t535 (not @t534))))))) % 1.02/1.27 (assume @p394 (forall @t377 (=> @t361 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t659 @t658)))) % 1.02/1.27 (assume @p395 (forall @t377 (=> @t361 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t661 @t660)))) % 1.02/1.27 (assume @p396 (forall @t342 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t633 @t201) @t200) @t34)) (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP (tptp.hAPP @t633 @t51) @t153)))))) % 1.02/1.27 (assume @p397 (forall @t202 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t641) @t640))) % 1.02/1.27 (assume @p398 (forall @t438 (=> @t423 (=> @t437 (tptp.c_Relation_Orefl__on @t22 @t635 @t662))))) % 1.02/1.27 (assume @p399 (forall @t665 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t644 @t370) @t371) (tptp.hAPP (tptp.hAPP @t359 @t663) (tptp.hAPP (tptp.hAPP @t644 @t367) @t371)))))) % 1.02/1.27 (assume @p400 (forall @t665 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t359 @t656) @t371) (tptp.hAPP (tptp.hAPP @t644 @t392) (tptp.hAPP (tptp.hAPP @t359 @t367) @t371)))))) % 1.02/1.27 (assume @p401 (forall @t377 (=> @t664 (= @t659 @t658)))) % 1.02/1.27 (assume @p402 (forall @t377 (=> @t664 (= @t660 @t661)))) % 1.02/1.27 (assume @p403 (forall @t390 (=> @t361 (= (tptp.hAPP @t645 @t374) @t371)))) % 1.02/1.27 (assume @p404 (forall @t390 (=> @t361 (= (tptp.hAPP @t372 @t646) @t371)))) % 1.02/1.27 (assume @p405 (forall (@list @t20 @t26 @t22 @t52) (= (tptp.c_Relation_ORange @t52 @t22 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t496) @t26) @t20)) (tptp.hAPP (tptp.hAPP @t633 @t495) @t494)))) % 1.02/1.27 (assume @p406 (forall (@list @t20 @t22 @t34 @t26) (=> @t100 @t636))) % 1.02/1.27 (assume @p407 (forall (@list @t26 @t22 @t34 @t20) (=> @t326 @t636))) % 1.02/1.27 (assume @p408 (forall @t228 (= (tptp.hAPP @t634 @t26) @t26))) % 1.02/1.27 (assume @p409 (forall @t340 (= @t635 @t667))) % 1.02/1.27 (assume @p410 (forall @t340 (= (tptp.hAPP @t634 @t635) @t635))) % 1.02/1.27 (assume @p411 (forall @t338 (= @t670 (tptp.hAPP @t666 @t668)))) % 1.02/1.27 (assume @p412 (forall @t338 (= (tptp.hAPP (tptp.hAPP @t633 @t635) @t258) @t670))) % 1.02/1.27 (assume @p413 (forall @t673 (= (exists @t8 (and @t672 @t575)) (or (exists @t8 (and @t246 @t575)) (exists @t8 (and @t671 @t575)))))) % 1.02/1.27 (assume @p414 (forall @t673 (= (forall @t8 (=> @t672 @t575)) (and (forall @t8 (=> @t246 @t575)) (forall @t8 (=> @t671 @t575)))))) % 1.02/1.27 (assume @p415 (forall @t395 (=> @t648 (= (tptp.hAPP @t651 @t381) @t381)))) % 1.02/1.27 (assume @p416 (forall @t394 (=> @t648 (= (tptp.hAPP @t645 @t371) @t371)))) % 1.02/1.27 (assume @p417 (forall @t391 (=> @t648 (= @t652 (tptp.hAPP @t674 @t381))))) % 1.02/1.27 (assume @p418 (forall @t390 (=> @t361 @t675))) % 1.02/1.27 (assume @p419 (forall @t390 (=> @t648 @t675))) % 1.02/1.27 (assume @p420 (forall @t391 (=> @t648 (= (tptp.hAPP @t651 @t652) @t652)))) % 1.02/1.27 (assume @p421 (forall @t390 (=> @t361 @t676))) % 1.02/1.27 (assume @p422 (forall @t390 (=> @t648 @t676))) % 1.02/1.27 (assume @p423 (forall @t388 (=> @t648 (= (tptp.hAPP @t674 (tptp.hAPP @t651 @t378)) @t677)))) % 1.02/1.27 (assume @p424 (forall @t377 (=> @t361 @t679))) % 1.02/1.27 (assume @p425 (forall @t377 (=> @t648 @t679))) % 1.02/1.27 (assume @p426 (forall @t385 (=> @t648 (= (tptp.hAPP (tptp.hAPP @t644 @t652) @t378) @t677)))) % 1.02/1.27 (assume @p427 (forall @t377 (=> @t361 @t680))) % 1.02/1.27 (assume @p428 (forall @t377 (=> @t648 @t680))) % 1.02/1.27 (assume @p429 (forall @t362 (=> @t361 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t360) @t2) @t1) @t34) (tptp.hAPP (tptp.hAPP @t644 @t137) @t358))))) % 1.02/1.27 (assume @p430 (forall @t497 (= (tptp.c_Relation_ODomain @t22 @t52 (tptp.hAPP (tptp.hAPP @t632 @t26) @t20)) (tptp.hAPP (tptp.hAPP @t633 @t550) @t549)))) % 1.02/1.27 (assume @p431 (forall @t338 (= (tptp.hAPP (tptp.hAPP @t633 (tptp.hAPP @t684 @t336)) @t683) (tptp.hAPP (tptp.hAPP @t328 (tptp.hAPP @t682 @t669)) @t681)))) % 1.02/1.27 (assume @p432 (forall @t685 (= (tptp.hAPP (tptp.hAPP @t633 @t336) @t26) (tptp.hAPP (tptp.hAPP @t328 @t667) @t681)))) % 1.02/1.27 (assume @p433 (forall @t685 (= (tptp.hAPP (tptp.hAPP @t328 @t669) @t26) (tptp.hAPP (tptp.hAPP @t633 @t341) @t683)))) % 1.02/1.27 (assume @p434 (forall @t338 (= (tptp.hAPP @t634 @t336) (tptp.hAPP @t682 @t668)))) % 1.02/1.27 (assume @p435 (forall @t338 (= @t686 (tptp.hAPP @t684 @t339)))) % 1.02/1.27 (assume @p436 (forall @t638 (=> @t25 @t637))) % 1.02/1.27 (assume @p437 (forall @t334 (=> @t27 @t637))) % 1.02/1.27 (assume @p438 (forall @t334 (= @t637 (or @t27 @t25)))) % 1.02/1.27 (assume @p439 (forall (@list @t20 @t84 @t26 @t22) (= (tptp.hAPP @t634 @t460) (tptp.c_Set_Oinsert @t22 @t84 @t635)))) % 1.02/1.27 (assume @p440 (forall (@list @t258 @t20 @t84 @t22) (= (tptp.hAPP (tptp.hAPP @t633 @t460) @t258) (tptp.c_Set_Oinsert @t22 @t84 @t669)))) % 1.02/1.27 (assume @p441 (forall @t338 (= (= (tptp.hAPP @t684 @t258) @t686) @t506))) % 1.02/1.27 (assume @p442 (forall (@list @t153 @t51 @t34 @t22) (=> (or (tptp.hBOOL (tptp.hAPP @t687 @t297)) (tptp.hBOOL (tptp.hAPP @t687 @t546))) (tptp.hBOOL (tptp.hAPP @t687 @t640))))) % 1.02/1.27 (assume @p443 (forall @t545 (=> @t493 (=> (tptp.c_Wellfounded_Owf @t22 @t113) (=> (= (tptp.hAPP (tptp.hAPP @t328 @t431) (tptp.c_Relation_ORange @t22 @t22 @t113)) @t688) (tptp.c_Wellfounded_Owf @t22 @t662)))))) % 1.02/1.27 (assume @p444 (forall (@list @t508 @t59 @t85 @t84 @t22) (=> (tptp.hBOOL (tptp.hAPP @t211 (tptp.c_Transitive__Closure_Ortrancl @t22 (tptp.hAPP (tptp.hAPP @t639 @t59) @t508)))) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t71 @t85)) @t689)) (forall @t147 (=> (tptp.hBOOL (tptp.hAPP @t488 @t508)) @t588)))) (tptp.hBOOL (tptp.hAPP @t211 @t689)))))) % 1.02/1.27 (assume @p445 (forall @t594 (tptp.c_Wellfounded_Owf @t22 @t690))) % 1.02/1.27 (assume @p446 (forall @t593 (not (tptp.hBOOL (tptp.hAPP @t89 @t688))))) % 1.02/1.27 (assume @p447 (forall @t228 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t688 @t26))) % 1.02/1.27 (assume @p448 (forall @t691 (= (tptp.hAPP (tptp.hAPP @t633 @t688) @t20) @t20))) % 1.02/1.27 (assume @p449 (forall @t228 (= (tptp.hAPP @t634 @t688) @t26))) % 1.02/1.27 (assume @p450 (forall @t340 (= (= @t635 @t688) (and @t692 (= @t20 @t688))))) % 1.02/1.27 (assume @p451 (forall @t394 (=> @t694 (= (tptp.hAPP (tptp.hAPP @t644 @t693) @t371) @t371)))) % 1.02/1.27 (assume @p452 (forall @t394 (=> @t694 (= (tptp.hAPP @t645 @t693) @t371)))) % 1.02/1.27 (assume @p453 (forall @t210 (=> @t694 (= (= @t650 @t693) (and (= @t34 @t693) (= @t33 @t693)))))) % 1.02/1.27 (assume @p454 (forall @t466 (= @t465 (tptp.hAPP (tptp.hAPP @t633 @t695) @t26)))) % 1.02/1.27 (assume @p455 (forall @t698 (= @t697 @t696))) % 1.02/1.27 (assume @p456 (forall @t698 (=> @t697 @t696))) % 1.02/1.27 (assume @p457 (forall (@list @t252 @t52 @t22) (= (tptp.c_FuncSet_Oextensional__funcset @t22 @t52 @t688 @t252) @t700))) % 1.02/1.27 (assume @p458 (forall @t701 (= (tptp.c_FuncSet_Oextensional @t22 @t52 @t688) @t700))) % 1.02/1.27 (assume @p459 (forall @t466 (not (= @t688 @t465)))) % 1.02/1.27 (assume @p460 (forall @t466 (not (= @t465 @t688)))) % 1.02/1.27 (assume @p461 (forall (@list @t571 @t21 @t85 @t84 @t22) (= (= (tptp.c_Set_Oinsert @t22 @t84 @t702) (tptp.c_Set_Oinsert @t22 @t21 (tptp.c_Set_Oinsert @t22 @t571 @t688))) (or (and @t573 (= @t85 @t571)) (and (= @t84 @t571) (= @t85 @t21)))))) % 1.02/1.27 (assume @p462 (forall (@list @t85 @t84 @t22) (=> (= @t695 @t702) @t92))) % 1.02/1.27 (assume @p463 (forall @t691 (= (tptp.hAPP (tptp.hAPP @t328 @t688) @t20) @t688))) % 1.02/1.27 (assume @p464 (forall @t228 (= (tptp.hAPP @t329 @t688) @t688))) % 1.02/1.27 (assume @p465 (forall @t340 (= (= @t330 @t688) (forall @t8 (=> @t246 (forall @t181 (=> (tptp.hBOOL (tptp.hAPP @t420 @t20)) @t419))))))) % 1.02/1.27 (assume @p466 (forall @t594 (= (tptp.c_Transitive__Closure_Otrancl @t22 @t690) @t690))) % 1.02/1.27 (assume @p467 (forall @t228 (= (forall @t8 (not @t246)) @t692))) % 1.02/1.27 (assume @p468 (forall @t228 (= (exists @t8 @t246) (not @t692)))) % 1.02/1.27 (assume @p469 (forall (@list @t21 @t22) (not (tptp.hBOOL (tptp.hAPP @t24 @t688))))) % 1.02/1.27 (assume @p470 (forall (@list @t84 @t22 @t26) (=> @t692 @t485))) % 1.02/1.27 (assume @p471 (forall @t701 (= (tptp.c_Relation_ODomain @t22 @t52 @t703) @t688))) % 1.02/1.27 (assume @p472 (forall @t355 (= (= @t343 @t688) (= @t69 @t703)))) % 1.02/1.27 (assume @p473 (forall @t497 (= (= @t219 @t699) (exists @t8 (and @t246 (= @t244 @t704)))))) % 1.02/1.27 (assume @p474 (forall (@list @t52 @t22 @t153) (=> (not (= @t153 @t688)) (= (tptp.c_FuncSet_Oextensional__funcset @t22 @t52 @t153 @t704) @t699)))) % 1.02/1.27 (assume @p475 (forall @t594 (= (tptp.c_Relation_OId__on @t22 @t688) @t690))) % 1.02/1.27 (assume @p476 (forall (@list @t22 @t52) (= (tptp.c_Relation_ORange @t52 @t22 @t705) @t688))) % 1.02/1.27 (assume @p477 (forall (@list @t69 @t22 @t52) (= (= @t414 @t688) (= @t69 @t705)))) % 1.02/1.27 (assume @p478 (forall @t594 (tptp.c_Relation_Orefl__on @t22 @t688 @t690))) % 1.02/1.27 (assume @p479 (forall @t394 (=> @t694 (= (tptp.hAPP @t372 @t693) @t693)))) % 1.02/1.27 (assume @p480 (forall @t394 (=> @t694 (= (tptp.hAPP (tptp.hAPP @t359 @t693) @t371) @t693)))) % 1.02/1.27 (assume @p481 (forall @t77 (tptp.c_Relation_Ototal__on @t22 @t688 @t69))) % 1.02/1.27 (assume @p482 (forall @t592 (= (tptp.hBOOL (tptp.hAPP @t688 @t34)) (tptp.hBOOL (tptp.hAPP @t96 @t688))))) % 1.02/1.27 (assume @p483 (forall @t594 (tptp.c_Relation_Oantisym @t22 @t690))) % 1.02/1.27 (assume @p484 (forall (@list @t34 @t52 @t22) (=> (tptp.class_Orderings_Obot @t22) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t360) @t34) @t693)))) % 1.02/1.27 (assume @p485 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p486 (forall @t710 (=> @t709 (tptp.class_Lattices_Obounded__lattice @t708)))) % 1.02/1.27 (assume @p487 (forall @t710 (=> @t709 (tptp.class_Lattices_Obounded__lattice__bot @t708)))) % 1.02/1.27 (assume @p488 (forall @t710 (=> @t711 (tptp.class_Lattices_Osemilattice__sup @t708)))) % 1.02/1.27 (assume @p489 (forall @t710 (=> @t711 (tptp.class_Lattices_Osemilattice__inf @t708)))) % 1.02/1.27 (assume @p490 (forall @t710 (=> (tptp.class_Lattices_Odistrib__lattice @t706) (tptp.class_Lattices_Odistrib__lattice @t708)))) % 1.02/1.27 (assume @p491 (forall @t710 (=> (tptp.class_Orderings_Opreorder @t706) (tptp.class_Orderings_Opreorder @t708)))) % 1.02/1.27 (assume @p492 (forall @t710 (=> @t711 (tptp.class_Lattices_Olattice @t708)))) % 1.02/1.27 (assume @p493 (forall @t710 (=> (tptp.class_Orderings_Oorder @t706) (tptp.class_Orderings_Oorder @t708)))) % 1.02/1.27 (assume @p494 (forall @t710 (=> (tptp.class_Orderings_Oord @t706) (tptp.class_Orderings_Oord @t708)))) % 1.02/1.27 (assume @p495 (forall @t710 (=> (tptp.class_Orderings_Obot @t706) (tptp.class_Orderings_Obot @t708)))) % 1.02/1.27 (assume @p496 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p497 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p498 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p500 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 1.02/1.27 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p512 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p513 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 1.02/1.27 (assume @p514 (forall (@list @t712 @t22) (= (tptp.hAPP @t182 @t712) @t712))) % 1.02/1.27 (assume @p515 (forall (@list @t713 @t712 @t52 @t22) (= (tptp.hAPP (tptp.c_COMBK @t22 @t52 @t712) @t713) @t712))) % 1.02/1.27 (assume @p516 (forall (@list @t51 @t508 @t59 @t259 @t22 @t52) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t52 @t22 @t259 @t59) @t508) @t51) (tptp.hAPP @t59 @t714)))) % 1.02/1.27 (assume @p517 (forall @t716 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t52 @t259 @t22) @t59) @t508) @t51) (tptp.hAPP @t715 @t508)))) % 1.02/1.27 (assume @p518 (forall @t716 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t52 @t259 @t22) @t59) @t508) @t51) (tptp.hAPP @t715 @t714)))) % 1.02/1.27 (assume @p519 (forall @t718 (or (not @t717) @t41))) % 1.02/1.27 (assume @p520 (forall @t718 (or @t42 @t717))) % 1.02/1.27 (assume @p521 (not (tptp.hBOOL tptp.c_fFalse))) % 1.02/1.27 (assume @p522 (forall @t722 (or (not @t721) (not @t720) @t719))) % 1.02/1.27 (assume @p523 (forall @t722 (or @t723 @t721))) % 1.02/1.27 (assume @p524 (forall @t722 (or @t723 @t720))) % 1.02/1.27 (assume @p525 (not @t724)) % 1.02/1.27 (assume @p526 true) % 1.02/1.27 (step @p527 :rule alpha_equiv :args (@t17 (@list @t10) (@list @t47))) % 1.02/1.27 (step @p528 :rule equiv_elim1 :premises (@p527)) % 1.02/1.27 (step @p529 :rule chain_m_resolution :premises (@p528 @p6) :args (@t725 (@list false) (@list @t17))) % 1.02/1.27 (step @p530 :rule aci_norm :args ((= @t733 (or @t731 @t730 @t729)))) % 1.02/1.27 (step @p531 :rule cong :premises (@p530) :args (@t735)) % 1.02/1.27 (step @p532 :rule quant-merge-prenex :args ((= (forall @t8 @t737) @t735))) % 1.02/1.27 (step @p533 :rule alpha_equiv :args (@t738 (@list @t727 @t726) (@list @t165 @t164))) % 1.02/1.27 (step @p534 :rule refl :args (@t731)) % 1.02/1.27 (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t739)) % 1.02/1.27 (step @p536 :rule quant-miniscope-or :args ((= @t737 @t739))) % 1.02/1.27 (step @p537 :rule trans :premises (@p536 @p535)) % 1.02/1.27 (step @p538 :rule symm :premises (@p537)) % 1.02/1.27 (step @p539 :rule cong :premises (@p538) :args ((forall @t8 (or @t731 @t740)))) % 1.02/1.27 (step @p540 :rule trans :premises (@p539 @p532)) % 1.02/1.27 (step @p541 :rule trans :premises (@p540 @p531)) % 1.02/1.27 (step @p542 :rule bool-impl-elim :args (@t173 @t740)) % 1.02/1.27 (step @p543 :rule cong :premises (@p542) :args ((forall @t8 (=> @t173 @t740)))) % 1.02/1.27 (step @p544 :rule trans :premises (@p543 @p541)) % 1.02/1.27 (step @p545 :rule bool-impl-elim :args (@t170 @t167)) % 1.02/1.27 (step @p546 :rule cong :premises (@p545) :args (@t172)) % 1.02/1.27 (step @p547 :rule refl :args (@t173)) % 1.02/1.27 (step @p548 :rule cong :premises (@p547 @p546) :args (@t174)) % 1.02/1.27 (step @p549 :rule cong :premises (@p548) :args (@t175)) % 1.02/1.27 (step @p550 :rule trans :premises (@p549 @p544)) % 1.02/1.27 (step @p551 :rule refl :args (@t176)) % 1.02/1.27 (step @p552 :rule cong :premises (@p551 @p550) :args (@t177)) % 1.02/1.27 (step @p553 :rule cong :premises (@p552) :args (@t179)) % 1.02/1.27 (step @p554 :rule eq_resolve :premises (@p47 @p553)) % 1.02/1.27 (step @p555 :rule instantiate :premises (@p554) :args ((@list tptp.v_F))) % 1.02/1.27 (step @p556 :rule cnf_equiv_pos1 :args (@t742)) % 1.02/1.27 (step @p557 :rule reordering :premises (@p556) :args ((or (not @t9) @t741 (not @t742)))) % 1.02/1.27 (step @p558 :rule chain_m_resolution :premises (@p557 @p2 @p555) :args (@t741 (@list false false) (@list @t9 @t742))) % 1.02/1.27 (step @p559 :rule instantiate :premises (@p558) :args ((@list tptp.v_Q____ tptp.v_b____ tptp.v_b_H____))) % 1.02/1.27 (step @p560 :rule cnf_or_pos :args (@t745)) % 1.02/1.27 (step @p561 :rule reordering :premises (@p560) :args ((or @t724 @t744 @t743 (not @t745)))) % 1.02/1.27 (step @p562 false :rule chain_m_resolution :premises (@p561 @p559 @p529 @p525 @p32) :args (false (@list false false true false) (@list @t745 @t725 @t724 @t102))) % 1.02/1.27 ) % 1.02/1.27 % SZS output end Proof % 1.02/1.27 % cvc5 exiting %------------------------------------------------------------------------------