%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT155+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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:22 AM UTC 2026 % Result : Theorem 9.43s 9.61s % Output : Proof 9.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT155+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:32:04 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.65 %----Proving TF0_NAR, FOF, or CNF % 9.43/9.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.43/9.61 % SZS status Theorem % 9.43/9.61 % SZS output start Proof % 9.43/9.61 ( % 9.43/9.61 (declare-sort $$unsorted 0) % 9.43/9.61 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.tc_Nat_Onat $$unsorted) % 9.43/9.61 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.v_P____ $$unsorted) % 9.43/9.61 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 9.43/9.61 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.v_F $$unsorted) % 9.43/9.61 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.v_b____ $$unsorted) % 9.43/9.61 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.v_a____ $$unsorted) % 9.43/9.61 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 9.43/9.61 (declare-const tptp.tc_HOL_Obool $$unsorted) % 9.43/9.61 (declare-const tptp.v_b_H____ $$unsorted) % 9.43/9.61 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.v_a_H____ $$unsorted) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 9.43/9.61 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.v_P_H____ $$unsorted) % 9.43/9.61 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 9.43/9.61 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.43/9.61 (define @t1 () (@var "V_g_2" $$unsorted)) % 9.43/9.61 (define @t2 () (@var "V_f_2" $$unsorted)) % 9.43/9.61 (define @t3 () (@var "B_x" $$unsorted)) % 9.43/9.61 (define @t4 () (tptp.hAPP @t1 @t3)) % 9.43/9.61 (define @t5 () (tptp.hAPP @t2 @t3)) % 9.43/9.61 (define @t6 () (@list @t3)) % 9.43/9.61 (define @t7 () (= tptp.v_b____ tptp.v_a_H____)) % 9.43/9.61 (define @t8 () (= tptp.v_a____ tptp.v_b_H____)) % 9.43/9.61 (define @t9 () (@var "B_i" $$unsorted)) % 9.43/9.61 (define @t10 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a_H____ tptp.v_b_H____)) % 9.43/9.61 (define @t11 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 9.43/9.61 (define @t12 () (tptp.c_member @t11 @t10 (tptp.hAPP tptp.v_P_H____ @t9))) % 9.43/9.61 (define @t13 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____)) % 9.43/9.61 (define @t14 () (tptp.c_member @t11 @t13 (tptp.hAPP tptp.v_P____ @t9))) % 9.43/9.61 (define @t15 () (@list @t9)) % 9.43/9.61 (define @t16 () (forall @t15 (= @t14 @t12))) % 9.43/9.61 (define @t17 () (tptp.tc_fun @t11 tptp.tc_HOL_Obool)) % 9.43/9.61 (define @t18 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t17)) % 9.43/9.61 (define @t19 () (tptp.c_member @t18 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 9.43/9.61 (define @t20 () (tptp.c_member @t18 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 9.43/9.61 (define @t21 () (@var "V_B_2" $$unsorted)) % 9.43/9.61 (define @t22 () (@var "V_c_2" $$unsorted)) % 9.43/9.61 (define @t23 () (@var "T_a" $$unsorted)) % 9.43/9.61 (define @t24 () (tptp.c_member @t23 @t22 @t21)) % 9.43/9.61 (define @t25 () (@var "V_A_2" $$unsorted)) % 9.43/9.61 (define @t26 () (tptp.c_member @t23 @t22 @t25)) % 9.43/9.61 (define @t27 () (=> (not @t26) @t24)) % 9.43/9.61 (define @t28 () (not @t24)) % 9.43/9.61 (define @t29 () (=> @t26 @t28)) % 9.43/9.61 (define @t30 () (= @t25 @t21)) % 9.43/9.61 (define @t31 () (@var "V_L_2" $$unsorted)) % 9.43/9.61 (define @t32 () (@var "V_y_2" $$unsorted)) % 9.43/9.61 (define @t33 () (@var "V_x_2" $$unsorted)) % 9.43/9.61 (define @t34 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t33 @t32)) % 9.43/9.61 (define @t35 () (tptp.c_member @t11 @t34 @t31)) % 9.43/9.61 (define @t36 () (@var "V_z_2" $$unsorted)) % 9.43/9.61 (define @t37 () (= @t33 @t36)) % 9.43/9.61 (define @t38 () (not @t37)) % 9.43/9.61 (define @t39 () (= @t33 @t32)) % 9.43/9.61 (define @t40 () (not @t39)) % 9.43/9.61 (define @t41 () (= @t32 @t36)) % 9.43/9.61 (define @t42 () (not @t41)) % 9.43/9.61 (define @t43 () (@list @t36 @t31 @t32 @t33)) % 9.43/9.61 (define @t44 () (@var "V_R_2" $$unsorted)) % 9.43/9.61 (define @t45 () (@var "T_b" $$unsorted)) % 9.43/9.61 (define @t46 () (tptp.c_Product__Type_OPair @t23 @t45 @t33 @t32)) % 9.43/9.61 (define @t47 () (tptp.tc_prod @t23 @t45)) % 9.43/9.61 (define @t48 () (@var "V_Pa_2" $$unsorted)) % 9.43/9.61 (define @t49 () (tptp.c_Recdef_Osame__fst @t23 @t45 @t48 @t44)) % 9.43/9.61 (define @t50 () (@var "V_y_H_2" $$unsorted)) % 9.43/9.61 (define @t51 () (tptp.tc_prod @t47 @t47)) % 9.43/9.61 (define @t52 () (tptp.tc_prod @t45 @t45)) % 9.43/9.61 (define @t53 () (tptp.hAPP @t48 @t33)) % 9.43/9.61 (define @t54 () (tptp.hBOOL @t53)) % 9.43/9.61 (define @t55 () (@var "V_P_Ha_2" $$unsorted)) % 9.43/9.61 (define @t56 () (tptp.hAPP tptp.v_F @t55)) % 9.43/9.61 (define @t57 () (@var "V_b_Ha_2" $$unsorted)) % 9.43/9.61 (define @t58 () (@var "V_a_Ha_2" $$unsorted)) % 9.43/9.61 (define @t59 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t58 @t57)) % 9.43/9.62 (define @t60 () (tptp.c_member @t11 @t59 @t56)) % 9.43/9.62 (define @t61 () (@var "V_ba_2" $$unsorted)) % 9.43/9.62 (define @t62 () (@var "V_aa_2" $$unsorted)) % 9.43/9.62 (define @t63 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t61)) % 9.43/9.62 (define @t64 () (tptp.c_member @t11 @t63 (tptp.hAPP tptp.v_F @t48))) % 9.43/9.62 (define @t65 () (= @t64 @t60)) % 9.43/9.62 (define @t66 () (tptp.hAPP @t55 @t9)) % 9.43/9.62 (define @t67 () (tptp.c_member @t11 @t63 (tptp.hAPP @t48 @t9))) % 9.43/9.62 (define @t68 () (forall @t15 (= @t67 (tptp.c_member @t11 @t59 @t66)))) % 9.43/9.62 (define @t69 () (=> @t68 @t65)) % 9.43/9.62 (define @t70 () (tptp.c_member @t18 @t55 tptp.c_Arrow__Order__Mirabelle_OProf)) % 9.43/9.62 (define @t71 () (=> @t70 @t69)) % 9.43/9.62 (define @t72 () (tptp.c_member @t18 @t48 tptp.c_Arrow__Order__Mirabelle_OProf)) % 9.43/9.62 (define @t73 () (=> @t72 @t71)) % 9.43/9.62 (define @t74 () (not (= @t61 @t58))) % 9.43/9.62 (define @t75 () (=> @t74 @t73)) % 9.43/9.62 (define @t76 () (not (= @t62 @t57))) % 9.43/9.62 (define @t77 () (=> @t76 @t75)) % 9.43/9.62 (define @t78 () (not (= @t58 @t57))) % 9.43/9.62 (define @t79 () (=> @t78 @t77)) % 9.43/9.62 (define @t80 () (= @t62 @t61)) % 9.43/9.62 (define @t81 () (not @t80)) % 9.43/9.62 (define @t82 () (=> @t81 @t79)) % 9.43/9.62 (define @t83 () (@list @t55 @t48 @t57 @t58 @t61 @t62)) % 9.43/9.62 (define @t84 () (forall @t83 @t82)) % 9.43/9.62 (define @t85 () (@var "V_r_2" $$unsorted)) % 9.43/9.62 (define @t86 () (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t3)) % 9.43/9.62 (define @t87 () (tptp.tc_prod @t23 @t23)) % 9.43/9.62 (define @t88 () (tptp.c_member @t87 @t86 @t85)) % 9.43/9.62 (define @t89 () (@list @t85 @t23)) % 9.43/9.62 (define @t90 () (@var "B_b" $$unsorted)) % 9.43/9.62 (define @t91 () (@var "B_a" $$unsorted)) % 9.43/9.62 (define @t92 () (tptp.c_Product__Type_OPair @t23 @t45 @t91 @t90)) % 9.43/9.62 (define @t93 () (@list @t91 @t90)) % 9.43/9.62 (define @t94 () (@var "B_x1" $$unsorted)) % 9.43/9.62 (define @t95 () (= @t62 @t58)) % 9.43/9.62 (define @t96 () (tptp.c_Product__Type_OPair @t23 @t45 @t58 @t57)) % 9.43/9.62 (define @t97 () (tptp.c_Product__Type_OPair @t23 @t45 @t62 @t61)) % 9.43/9.62 (define @t98 () (@var "V_b_H" $$unsorted)) % 9.43/9.62 (define @t99 () (@var "V_b" $$unsorted)) % 9.43/9.62 (define @t100 () (@var "V_a_H" $$unsorted)) % 9.43/9.62 (define @t101 () (@var "V_a" $$unsorted)) % 9.43/9.62 (define @t102 () (tptp.c_member @t23 @t62 @t25)) % 9.43/9.62 (define @t103 () (tptp.c_member @t23 @t61 @t25)) % 9.43/9.62 (define @t104 () (@list @t25 @t23 @t61 @t62)) % 9.43/9.62 (define @t105 () (tptp.c_member @t23 @t32 @t25)) % 9.43/9.62 (define @t106 () (tptp.c_member @t23 @t33 @t25)) % 9.43/9.62 (define @t107 () (tptp.c_member @t23 @t33 @t21)) % 9.43/9.62 (define @t108 () (tptp.hAPP @t25 @t33)) % 9.43/9.62 (define @t109 () (tptp.hBOOL @t108)) % 9.43/9.62 (define @t110 () (@list @t25 @t33 @t23)) % 9.43/9.62 (define @t111 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t61 @t62)) % 9.43/9.62 (define @t112 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t61 @t22)) % 9.43/9.62 (define @t113 () (= @t62 @t22)) % 9.43/9.62 (define @t114 () (= @t61 @t22)) % 9.43/9.62 (define @t115 () (@var "V_f1_2" $$unsorted)) % 9.43/9.62 (define @t116 () (@var "T_c" $$unsorted)) % 9.43/9.62 (define @t117 () (tptp.c_Product__Type_OPair @t45 @t116 @t62 @t61)) % 9.43/9.62 (define @t118 () (@var "B_xa" $$unsorted)) % 9.43/9.62 (define @t119 () (@var "V_Fa_2" $$unsorted)) % 9.43/9.62 (define @t120 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t91 @t90)) % 9.43/9.62 (define @t121 () (tptp.hAPP @t119 @t3)) % 9.43/9.62 (define @t122 () (tptp.c_member @t11 @t120 @t121)) % 9.43/9.62 (define @t123 () (tptp.c_member @t11 @t120 (tptp.hAPP @t3 @t9))) % 9.43/9.62 (define @t124 () (@list @t118)) % 9.43/9.62 (define @t125 () (tptp.c_member @t18 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 9.43/9.62 (define @t126 () (@list @t119)) % 9.43/9.62 (define @t127 () (@var "V_s_2" $$unsorted)) % 9.43/9.62 (define @t128 () (@var "V_i_2" $$unsorted)) % 9.43/9.62 (define @t129 () (@var "B_z" $$unsorted)) % 9.43/9.62 (define @t130 () (@var "B_g" $$unsorted)) % 9.43/9.62 (define @t131 () (@var "V_a1_2" $$unsorted)) % 9.43/9.62 (define @t132 () (@list @t129)) % 9.43/9.62 (define @t133 () (forall @t132 (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t129 @t131) @t44) (tptp.c_Recdef_Owfrec__rel @t23 @t45 @t44 @t119 @t129 (tptp.hAPP @t130 @t129))))) % 9.43/9.62 (define @t134 () (tptp.hAPP (tptp.hAPP @t119 @t130) @t131)) % 9.43/9.62 (define @t135 () (@var "V_a2_2" $$unsorted)) % 9.43/9.62 (define @t136 () (tptp.hAPP (tptp.hAPP @t119 @t135) @t131)) % 9.43/9.62 (define @t137 () (@list @t130)) % 9.43/9.62 (define @t138 () (@list @t135 @t131 @t119 @t44 @t45 @t23)) % 9.43/9.62 (define @t139 () (tptp.c_member @t17 @t31 tptp.c_Arrow__Order__Mirabelle_OLin)) % 9.43/9.62 (define @t140 () (@list @t33 @t31)) % 9.43/9.62 (define @t141 () (= @t32 @t61)) % 9.43/9.62 (define @t142 () (= @t33 @t62)) % 9.43/9.62 (define @t143 () (= @t33 @t61)) % 9.43/9.62 (define @t144 () (@list @t32 @t33 @t31 @t61 @t62)) % 9.43/9.62 (define @t145 () (= @t32 @t62)) % 9.43/9.62 (define @t146 () (@list @t31 @t32 @t33)) % 9.43/9.62 (define @t147 () (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t129 @t33) @t44)) % 9.43/9.62 (define @t148 () (tptp.c_Wellfounded_Oacc @t23 @t85)) % 9.43/9.62 (define @t149 () (tptp.c_member @t23 @t3 @t148)) % 9.43/9.62 (define @t150 () (tptp.c_member @t23 @t62 @t148)) % 9.43/9.62 (define @t151 () (@list @t85 @t62 @t23)) % 9.43/9.62 (define @t152 () (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t61)) % 9.43/9.62 (define @t153 () (tptp.c_member @t87 @t152 @t85)) % 9.43/9.62 (define @t154 () (tptp.c_member @t23 @t61 @t148)) % 9.43/9.62 (define @t155 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t23 @t45 tptp.tc_HOL_Obool @t2 @t62 @t61))) % 9.43/9.62 (define @t156 () (tptp.hBOOL (tptp.hAPP @t2 @t97))) % 9.43/9.62 (define @t157 () (tptp.c_Wellfounded_Oacc @t23 @t44)) % 9.43/9.62 (define @t158 () (tptp.c_member @t23 @t33 @t148)) % 9.43/9.62 (define @t159 () (@var "B_y" $$unsorted)) % 9.43/9.62 (define @t160 () (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t159 @t33) @t85)) % 9.43/9.62 (define @t161 () (@list @t159)) % 9.43/9.62 (define @t162 () (@list @t85 @t33 @t23)) % 9.43/9.62 (define @t163 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t85)) % 9.43/9.62 (define @t164 () (tptp.c_Product__Type_OPair @t23 @t23 @t61 @t62)) % 9.43/9.62 (define @t165 () (tptp.c_member @t87 @t164 @t163)) % 9.43/9.62 (define @t166 () (tptp.hAPP @t2 @t33)) % 9.43/9.62 (define @t167 () (tptp.c_Recdef_Ocut @t23 @t45 @t2 @t85 @t62)) % 9.43/9.62 (define @t168 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t62)) % 9.43/9.62 (define @t169 () (tptp.c_member @t87 @t168 @t85)) % 9.43/9.62 (define @t170 () (@var "B_f" $$unsorted)) % 9.43/9.62 (define @t171 () (@var "B_R" $$unsorted)) % 9.43/9.62 (define @t172 () (@var "B_L" $$unsorted)) % 9.43/9.62 (define @t173 () (@list @t32 @t33 @t23)) % 9.43/9.62 (define @t174 () (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t62)) % 9.43/9.62 (define @t175 () (@var "V_p_2" $$unsorted)) % 9.43/9.62 (define @t176 () (tptp.c_member @t87 @t175 @t85)) % 9.43/9.62 (define @t177 () (@list @t85 @t175 @t23)) % 9.43/9.62 (define @t178 () (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t22)) % 9.43/9.62 (define @t179 () (tptp.c_member @t87 @t178 @t163)) % 9.43/9.62 (define @t180 () (tptp.c_Product__Type_OPair @t23 @t23 @t61 @t22)) % 9.43/9.62 (define @t181 () (tptp.c_member @t87 @t180 @t163)) % 9.43/9.62 (define @t182 () (=> @t181 @t179)) % 9.43/9.62 (define @t183 () (@list @t22 @t85 @t61 @t62 @t23)) % 9.43/9.62 (define @t184 () (tptp.c_member @t87 @t180 @t85)) % 9.43/9.62 (define @t185 () (tptp.c_member @t87 @t152 @t163)) % 9.43/9.62 (define @t186 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t44)) % 9.43/9.62 (define @t187 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t32)) % 9.43/9.62 (define @t188 () (tptp.c_member @t87 @t187 @t186)) % 9.43/9.62 (define @t189 () (tptp.c_Product__Type_OPair @t23 @t23 @t32 @t36)) % 9.43/9.62 (define @t190 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t36)) % 9.43/9.62 (define @t191 () (tptp.c_member @t87 @t190 @t163)) % 9.43/9.62 (define @t192 () (tptp.c_member @t87 @t187 @t163)) % 9.43/9.62 (define @t193 () (tptp.c_Relation_ODomain @t23 @t45 @t85)) % 9.43/9.62 (define @t194 () (tptp.c_member @t23 @t62 @t193)) % 9.43/9.62 (define @t195 () (tptp.c_member @t47 @t97 @t85)) % 9.43/9.62 (define @t196 () (@list @t85 @t61 @t62 @t45 @t23)) % 9.43/9.62 (define @t197 () (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t23 @t45 @t62 @t159) @t85)) % 9.43/9.62 (define @t198 () (@list @t85 @t45 @t62 @t23)) % 9.43/9.62 (define @t199 () (tptp.c_Relation_Osingle__valued @t23 @t45 @t85)) % 9.43/9.62 (define @t200 () (@list @t3 @t159)) % 9.43/9.62 (define @t201 () (forall @t200 (=> (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t23 @t45 @t3 @t159) @t85) (forall @t132 (=> (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t23 @t45 @t3 @t129) @t85) (= @t159 @t129)))))) % 9.43/9.62 (define @t202 () (@list @t85 @t45 @t23)) % 9.43/9.62 (define @t203 () (@var "V_by_2" $$unsorted)) % 9.43/9.62 (define @t204 () (@var "V_bx_2" $$unsorted)) % 9.43/9.62 (define @t205 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t204) @t203))) % 9.43/9.62 (define @t206 () (@var "B_ba" $$unsorted)) % 9.43/9.62 (define @t207 () (@var "B_aa" $$unsorted)) % 9.43/9.62 (define @t208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t207) @t206))) % 9.43/9.62 (define @t209 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t91) @t90))) % 9.43/9.62 (define @t210 () (tptp.c_Product__Type_OPair @t23 @t45 @t207 @t206)) % 9.43/9.62 (define @t211 () (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t92 @t210) @t85)) % 9.43/9.62 (define @t212 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t85)) % 9.43/9.62 (define @t213 () (@var "V_ay_2" $$unsorted)) % 9.43/9.62 (define @t214 () (@var "V_ax_2" $$unsorted)) % 9.43/9.62 (define @t215 () (tptp.c_Product__Type_OPair @t23 @t45 @t214 @t213)) % 9.43/9.62 (define @t216 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t214) @t213))) % 9.43/9.62 (define @t217 () (tptp.c_Product__Type_OPair @t23 @t45 @t204 @t203)) % 9.43/9.62 (define @t218 () (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t215 @t217) @t212)) % 9.43/9.62 (define @t219 () (@list @t48 @t85 @t203 @t204 @t213 @t214 @t45 @t23)) % 9.43/9.62 (define @t220 () (@var "V_zb_2" $$unsorted)) % 9.43/9.62 (define @t221 () (@var "V_za_2" $$unsorted)) % 9.43/9.62 (define @t222 () (tptp.c_Product__Type_OPair @t23 @t45 @t221 @t220)) % 9.43/9.62 (define @t223 () (@var "V_xb_2" $$unsorted)) % 9.43/9.62 (define @t224 () (@var "V_xa_2" $$unsorted)) % 9.43/9.62 (define @t225 () (tptp.c_Product__Type_OPair @t23 @t45 @t224 @t223)) % 9.43/9.62 (define @t226 () (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t159) @t163)) % 9.43/9.62 (define @t227 () (@list @t85 @t61 @t62 @t23)) % 9.43/9.62 (define @t228 () (tptp.c_Relation_OId__on @t23 @t25)) % 9.43/9.62 (define @t229 () (@list @t25 @t32 @t33 @t23)) % 9.43/9.62 (define @t230 () (tptp.hBOOL (tptp.hAPP @t48 @t61))) % 9.43/9.62 (define @t231 () (tptp.hBOOL (tptp.hAPP @t48 @t129))) % 9.43/9.62 (define @t232 () (tptp.hBOOL (tptp.hAPP @t48 @t159))) % 9.43/9.62 (define @t233 () (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t159 @t129) @t85)) % 9.43/9.62 (define @t234 () (tptp.hBOOL (tptp.hAPP @t48 @t62))) % 9.43/9.62 (define @t235 () (@list @t48 @t85 @t61 @t62 @t23)) % 9.43/9.62 (define @t236 () (tptp.c_Product__Type_OPair @t23 @t23 @t159 @t36)) % 9.43/9.62 (define @t237 () (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t159) @t85)) % 9.43/9.62 (define @t238 () (@list @t85 @t36 @t33 @t23)) % 9.43/9.62 (define @t239 () (@list @t25 @t23)) % 9.43/9.62 (define @t240 () (tptp.tc_prod @t45 @t23)) % 9.43/9.62 (define @t241 () (tptp.c_Relation_ORange @t45 @t23 @t85)) % 9.43/9.62 (define @t242 () (tptp.c_member @t23 @t3 @t25)) % 9.43/9.62 (define @t243 () (tptp.c_member @t240 (tptp.c_Product__Type_OPair @t45 @t23 @t3 @t61) @t85)) % 9.43/9.62 (define @t244 () (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t118 @t3) @t85)) % 9.43/9.62 (define @t245 () (not (= @t3 @t118))) % 9.43/9.62 (define @t246 () (tptp.c_Relation_Ototal__on @t23 @t25 @t85)) % 9.43/9.62 (define @t247 () (@list @t85 @t25 @t23)) % 9.43/9.62 (define @t248 () (tptp.hAPP @t2 @t32)) % 9.43/9.62 (define @t249 () (tptp.c_member @t87 @t187 @t85)) % 9.43/9.62 (define @t250 () (tptp.c_Relation_Orefl__on @t23 @t25 @t85)) % 9.43/9.62 (define @t251 () (@list @t32 @t33 @t85 @t25 @t23)) % 9.43/9.62 (define @t252 () (tptp.c_member @t87 @t174 @t85)) % 9.43/9.62 (define @t253 () (@list @t62 @t85 @t25 @t23)) % 9.43/9.62 (define @t254 () (tptp.c_Transitive__Closure_Otrancl @t23 @t85)) % 9.43/9.62 (define @t255 () (tptp.c_member @t87 @t152 @t254)) % 9.43/9.62 (define @t256 () (tptp.c_member @t87 @t175 @t254)) % 9.43/9.62 (define @t257 () (tptp.c_Transitive__Closure_Otrancl @t23 @t44)) % 9.43/9.62 (define @t258 () (@list @t44 @t23)) % 9.43/9.62 (define @t259 () (tptp.c_Relation_ODomain @t23 @t23 @t85)) % 9.43/9.62 (define @t260 () (tptp.c_Relation_ORange @t23 @t23 @t85)) % 9.43/9.62 (define @t261 () (tptp.c_member @t87 @t178 @t254)) % 9.43/9.62 (define @t262 () (=> (tptp.c_member @t87 @t180 @t254) @t261)) % 9.43/9.62 (define @t263 () (=> @t184 @t261)) % 9.43/9.62 (define @t264 () (tptp.c_member @t87 @t187 @t257)) % 9.43/9.62 (define @t265 () (@list @t44 @t32 @t33 @t23)) % 9.43/9.62 (define @t266 () (=> @t181 @t261)) % 9.43/9.62 (define @t267 () (tptp.c_member @t87 @t190 @t254)) % 9.43/9.62 (define @t268 () (tptp.c_Product__Type_OPair @t23 @t23 @t129 @t32)) % 9.43/9.62 (define @t269 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t129)) % 9.43/9.62 (define @t270 () (forall @t6 (not (tptp.c_member @t87 @t86 @t254)))) % 9.43/9.62 (define @t271 () (tptp.c_Wellfounded_Oacyclic @t23 @t85)) % 9.43/9.62 (define @t272 () (@var "B_c" $$unsorted)) % 9.43/9.62 (define @t273 () (tptp.c_Relation_OId @t23)) % 9.43/9.62 (define @t274 () (@list @t62 @t23)) % 9.43/9.62 (define @t275 () (@list @t23)) % 9.43/9.62 (define @t276 () (@list @t61 @t62 @t23)) % 9.43/9.62 (define @t277 () (not @t192)) % 9.43/9.62 (define @t278 () (tptp.c_Product__Type_OPair @t23 @t23 @t32 @t33)) % 9.43/9.62 (define @t279 () (tptp.c_Set_Oinsert @t87 @t278 @t85)) % 9.43/9.62 (define @t280 () (@list @t85 @t33 @t32 @t23)) % 9.43/9.62 (define @t281 () (tptp.tc_fun @t87 tptp.tc_HOL_Obool)) % 9.43/9.62 (define @t282 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t85 @t273)) % 9.43/9.62 (define @t283 () (tptp.c_member @t87 @t164 @t85)) % 9.43/9.62 (define @t284 () (tptp.c_Relation_Oantisym @t23 @t85)) % 9.43/9.62 (define @t285 () (@list @t61 @t62 @t85 @t23)) % 9.43/9.62 (define @t286 () (tptp.hAPP @t21 @t33)) % 9.43/9.62 (define @t287 () (tptp.hBOOL @t286)) % 9.43/9.62 (define @t288 () (tptp.tc_fun @t23 tptp.tc_HOL_Obool)) % 9.43/9.62 (define @t289 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t21)) % 9.43/9.62 (define @t290 () (tptp.hBOOL (tptp.hAPP @t289 @t33))) % 9.43/9.62 (define @t291 () (@list @t33 @t21 @t25 @t23)) % 9.43/9.62 (define @t292 () (not @t287)) % 9.43/9.62 (define @t293 () (tptp.c_member @t23 @t62 (tptp.c_Set_Oinsert @t23 @t61 @t25))) % 9.43/9.62 (define @t294 () (@list @t25 @t61 @t62 @t23)) % 9.43/9.62 (define @t295 () (tptp.c_Set_Oinsert @t23 @t61 @t21)) % 9.43/9.62 (define @t296 () (tptp.c_member @t23 @t62 @t295)) % 9.43/9.62 (define @t297 () (tptp.c_member @t23 @t62 @t21)) % 9.43/9.62 (define @t298 () (@list @t61 @t21 @t62 @t23)) % 9.43/9.62 (define @t299 () (tptp.c_member @t23 @t22 @t289)) % 9.43/9.62 (define @t300 () (@list @t21 @t25 @t22 @t23)) % 9.43/9.62 (define @t301 () (@list @t25 @t21 @t22 @t23)) % 9.43/9.62 (define @t302 () (tptp.c_Relation_ORange @t45 @t23 @t21)) % 9.43/9.62 (define @t303 () (tptp.c_Relation_ORange @t45 @t23 @t25)) % 9.43/9.62 (define @t304 () (tptp.tc_fun @t240 tptp.tc_HOL_Obool)) % 9.43/9.62 (define @t305 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t21 @t25)) % 9.43/9.62 (define @t306 () (@list @t21 @t25 @t23)) % 9.43/9.62 (define @t307 () (tptp.c_Set_Oinsert @t23 @t33 @t25)) % 9.43/9.62 (define @t308 () (tptp.c_Set_Oinsert @t23 @t32 @t25)) % 9.43/9.62 (define @t309 () (tptp.c_Set_Oinsert @t23 @t62 @t21)) % 9.43/9.62 (define @t310 () (@var "V_C_2" $$unsorted)) % 9.43/9.62 (define @t311 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t310)) % 9.43/9.62 (define @t312 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t21 @t310)) % 9.43/9.62 (define @t313 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t312)) % 9.43/9.62 (define @t314 () (@list @t310 @t21 @t25 @t23)) % 9.43/9.62 (define @t315 () (tptp.hBOOL (tptp.hAPP @t48 @t3))) % 9.43/9.62 (define @t316 () (tptp.c_member @t23 @t3 @t21)) % 9.43/9.62 (define @t317 () (tptp.c_member @t23 @t3 @t289)) % 9.43/9.62 (define @t318 () (@list @t48 @t21 @t25 @t23)) % 9.43/9.62 (define @t319 () (tptp.c_Relation_ODomain @t23 @t45 @t21)) % 9.43/9.62 (define @t320 () (tptp.c_Relation_ODomain @t23 @t45 @t25)) % 9.43/9.62 (define @t321 () (tptp.tc_fun @t47 tptp.tc_HOL_Obool)) % 9.43/9.62 (define @t322 () (@list @t21 @t25 @t45 @t23)) % 9.43/9.62 (define @t323 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t85 @t127)) % 9.43/9.62 (define @t324 () (tptp.c_Relation_Orefl__on @t23 @t21 @t127)) % 9.43/9.62 (define @t325 () (@list @t127 @t21 @t85 @t25 @t23)) % 9.43/9.62 (define @t326 () (tptp.c_Product__Type_OPair @t45 @t23 @t62 @t61)) % 9.43/9.62 (define @t327 () (tptp.c_Set_Oinsert @t23 @t33 @t21)) % 9.43/9.62 (define @t328 () (not @t106)) % 9.43/9.62 (define @t329 () (@list @t21 @t25 @t33 @t23)) % 9.43/9.62 (define @t330 () (tptp.c_Set_Oinsert @t23 @t62 @t25)) % 9.43/9.62 (define @t331 () (@list @t25 @t62 @t23)) % 9.43/9.62 (define @t332 () (@var "V_S_2" $$unsorted)) % 9.43/9.62 (define @t333 () (tptp.c_Transitive__Closure_Ortrancl @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t44 @t332))) % 9.43/9.62 (define @t334 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t332)) % 9.43/9.62 (define @t335 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t186 @t334)) % 9.43/9.62 (define @t336 () (@list @t332 @t44 @t23)) % 9.43/9.62 (define @t337 () (= @t3 @t159)) % 9.43/9.62 (define @t338 () (tptp.c_Product__Type_OPair @t23 @t23 @t159 @t3)) % 9.43/9.62 (define @t339 () (tptp.c_member @t87 @t338 @t85)) % 9.43/9.62 (define @t340 () (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t159)) % 9.43/9.62 (define @t341 () (forall @t200 (=> (tptp.c_member @t87 @t340 @t85) (=> @t339 @t337)))) % 9.43/9.62 (define @t342 () (tptp.hAPP @t1 @t33)) % 9.43/9.62 (define @t343 () (tptp.tc_fun @t45 @t23)) % 9.43/9.62 (define @t344 () (tptp.class_Lattices_Olattice @t23)) % 9.43/9.62 (define @t345 () (@list @t33 @t1 @t2 @t45 @t23)) % 9.43/9.62 (define @t346 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t48)) % 9.43/9.62 (define @t347 () (tptp.c_member @t87 @t152 @t346)) % 9.43/9.62 (define @t348 () (@var "V_Q_2" $$unsorted)) % 9.43/9.62 (define @t349 () (tptp.c_member @t87 @t152 (tptp.c_Transitive__Closure_Ortrancl @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t48 @t348)))) % 9.43/9.62 (define @t350 () (@list @t348 @t48 @t61 @t62 @t23)) % 9.43/9.62 (define @t351 () (tptp.c_Wellfounded_Owf @t23 @t85)) % 9.43/9.62 (define @t352 () (tptp.c_Relation_OField @t23 @t85)) % 9.43/9.62 (define @t353 () (@var "V_rb_2" $$unsorted)) % 9.43/9.62 (define @t354 () (@var "V_ra_2" $$unsorted)) % 9.43/9.62 (define @t355 () (@list @t33 @t85 @t23)) % 9.43/9.62 (define @t356 () (tptp.c_Relation_OField @t23 @t127)) % 9.43/9.62 (define @t357 () (@list @t127 @t85 @t23)) % 9.43/9.62 (define @t358 () (tptp.class_Lattices_Osemilattice__sup @t23)) % 9.43/9.62 (define @t359 () (@list @t101 @t23)) % 9.43/9.62 (define @t360 () (@var "V_x" $$unsorted)) % 9.43/9.62 (define @t361 () (@list @t360 @t23)) % 9.43/9.62 (define @t362 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t101 @t99)) % 9.43/9.62 (define @t363 () (@list @t99 @t101 @t23)) % 9.43/9.62 (define @t364 () (@var "V_y" $$unsorted)) % 9.43/9.62 (define @t365 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t364 @t360)) % 9.43/9.62 (define @t366 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t364)) % 9.43/9.62 (define @t367 () (= @t366 @t365)) % 9.43/9.62 (define @t368 () (@list @t364 @t360 @t23)) % 9.43/9.62 (define @t369 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t366) @t366)) % 9.43/9.62 (define @t370 () (@var "V_c" $$unsorted)) % 9.43/9.62 (define @t371 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t101 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t99 @t370))) % 9.43/9.62 (define @t372 () (@list @t370 @t101 @t99 @t23)) % 9.43/9.62 (define @t373 () (@var "V_z" $$unsorted)) % 9.43/9.62 (define @t374 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t373)) % 9.43/9.62 (define @t375 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t364 @t373)) % 9.43/9.62 (define @t376 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t375)) % 9.43/9.62 (define @t377 () (= @t376 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t364 @t374))) % 9.43/9.62 (define @t378 () (@list @t373 @t364 @t360 @t23)) % 9.43/9.62 (define @t379 () (@list @t370 @t99 @t101 @t23)) % 9.43/9.62 (define @t380 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t366 @t373) @t376)) % 9.43/9.62 (define @t381 () (@var "V_H_2" $$unsorted)) % 9.43/9.62 (define @t382 () (tptp.hAPP @t2 @t62)) % 9.43/9.62 (define @t383 () (tptp.c_Recdef_Owfrec @t23 @t45 @t85 @t381)) % 9.43/9.62 (define @t384 () (@var "B_M" $$unsorted)) % 9.43/9.62 (define @t385 () (tptp.c_Recdef_Owfrec @t23 @t45 @t171 @t384)) % 9.43/9.62 (define @t386 () (tptp.c_Orderings_Obot__class_Obot @t288)) % 9.43/9.62 (define @t387 () (tptp.c_Set_Oinsert @t23 @t61 @t386)) % 9.43/9.62 (define @t388 () (tptp.c_Set_Oinsert @t23 @t62 @t387)) % 9.43/9.62 (define @t389 () (tptp.c_Orderings_Obot__class_Obot @t281)) % 9.43/9.62 (define @t390 () (tptp.c_Orderings_Obot__class_Obot @t304)) % 9.43/9.62 (define @t391 () (@list @t85 @t23 @t45)) % 9.43/9.62 (define @t392 () (tptp.c_Orderings_Obot__class_Obot @t321)) % 9.43/9.62 (define @t393 () (= @t25 @t386)) % 9.43/9.62 (define @t394 () (not @t242)) % 9.43/9.62 (define @t395 () (not @t102)) % 9.43/9.62 (define @t396 () (@var "V_d_2" $$unsorted)) % 9.43/9.62 (define @t397 () (tptp.c_Set_Oinsert @t23 @t62 @t386)) % 9.43/9.62 (define @t398 () (@list @t21 @t23)) % 9.43/9.62 (define @t399 () (tptp.c_Orderings_Obot__class_Obot @t23)) % 9.43/9.62 (define @t400 () (tptp.class_Lattices_Obounded__lattice__bot @t23)) % 9.43/9.62 (define @t401 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t33 @t32)) % 9.43/9.62 (define @t402 () (= @t61 @t62)) % 9.43/9.62 (define @t403 () (tptp.c_member @t23 @t61 @t397)) % 9.43/9.62 (define @t404 () (@list @t62 @t61 @t23)) % 9.43/9.62 (define @t405 () (tptp.c_Set_Oinsert @t23 @t33 @t386)) % 9.43/9.62 (define @t406 () (tptp.class_Orderings_Obot @t23)) % 9.43/9.62 (define @t407 () (@var "B_Q" $$unsorted)) % 9.43/9.62 (define @t408 () (tptp.c_member @t23 @t3 @t407)) % 9.43/9.62 (define @t409 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t21)) % 9.43/9.62 (define @t410 () (tptp.hBOOL (tptp.hAPP @t409 @t33))) % 9.43/9.62 (define @t411 () (tptp.c_member @t23 @t22 @t409)) % 9.43/9.62 (define @t412 () (tptp.c_member @t23 @t118 @t21)) % 9.43/9.62 (define @t413 () (tptp.c_Set_Oinsert @t23 @t62 @t409)) % 9.43/9.62 (define @t414 () (@list @t21 @t25 @t62 @t23)) % 9.43/9.62 (define @t415 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t310)) % 9.43/9.62 (define @t416 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t312)) % 9.43/9.62 (define @t417 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t21 @t310)) % 9.43/9.62 (define @t418 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t310 @t25)) % 9.43/9.62 (define @t419 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t21 @t25)) % 9.43/9.62 (define @t420 () (@list @t25 @t310 @t21 @t23)) % 9.43/9.62 (define @t421 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t310 @t25)) % 9.43/9.62 (define @t422 () (@var "V_r_H_2" $$unsorted)) % 9.43/9.62 (define @t423 () (@list @t422 @t85 @t23)) % 9.43/9.62 (define @t424 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t417)) % 9.43/9.62 (define @t425 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t364 @t373)) % 9.43/9.62 (define @t426 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t425)) % 9.43/9.62 (define @t427 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t364)) % 9.43/9.62 (define @t428 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t427 @t373) @t426)) % 9.43/9.62 (define @t429 () (tptp.class_Lattices_Osemilattice__inf @t23)) % 9.43/9.62 (define @t430 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t101 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t99 @t370))) % 9.43/9.62 (define @t431 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t101 @t99)) % 9.43/9.62 (define @t432 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t373)) % 9.43/9.62 (define @t433 () (= @t426 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t364 @t432))) % 9.43/9.62 (define @t434 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t427) @t427)) % 9.43/9.62 (define @t435 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t364 @t360)) % 9.43/9.62 (define @t436 () (= @t427 @t435)) % 9.43/9.62 (define @t437 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t427 @t432)) % 9.43/9.62 (define @t438 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t375)) % 9.43/9.62 (define @t439 () (tptp.class_Lattices_Odistrib__lattice @t23)) % 9.43/9.62 (define @t440 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t366 @t374)) % 9.43/9.62 (define @t441 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t425)) % 9.43/9.62 (define @t442 () (@list @t360 @t373 @t364 @t23)) % 9.43/9.62 (define @t443 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t309 @t310)) % 9.43/9.62 (define @t444 () (tptp.c_member @t23 @t62 @t310)) % 9.43/9.62 (define @t445 () (=> @t444 (= @t443 (tptp.c_Set_Oinsert @t23 @t62 @t417)))) % 9.43/9.62 (define @t446 () (@list @t21 @t310 @t62 @t23)) % 9.43/9.62 (define @t447 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t309)) % 9.43/9.62 (define @t448 () (=> @t102 (= @t447 @t413))) % 9.43/9.62 (define @t449 () (=> (not @t444) (= @t443 @t417))) % 9.43/9.62 (define @t450 () (=> @t395 (= @t447 @t409))) % 9.43/9.62 (define @t451 () (tptp.c_Relation_Oconverse @t23 @t23 @t85)) % 9.43/9.62 (define @t452 () (tptp.tc_fun @t45 tptp.tc_HOL_Obool)) % 9.43/9.62 (define @t453 () (tptp.c_Orderings_Obot__class_Obot @t452)) % 9.43/9.62 (define @t454 () (tptp.c_Wellfounded_Owf @t23 @t44)) % 9.43/9.62 (define @t455 () (tptp.c_Relation_OImage @t23 @t23 @t85 @t387)) % 9.43/9.62 (define @t456 () (tptp.c_Relation_OImage @t23 @t23 @t85 @t397)) % 9.43/9.62 (define @t457 () (= @t456 @t455)) % 9.43/9.62 (define @t458 () (tptp.c_member @t23 @t61 @t352)) % 9.43/9.62 (define @t459 () (tptp.c_member @t23 @t62 @t352)) % 9.43/9.62 (define @t460 () (=> @t459 (=> @t458 (= @t457 @t80)))) % 9.43/9.62 (define @t461 () (tptp.c_Relation_OImage @t45 @t23 @t44 @t21)) % 9.43/9.62 (define @t462 () (tptp.c_Relation_OImage @t45 @t23 @t44 @t25)) % 9.43/9.62 (define @t463 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t462 @t461)) % 9.43/9.62 (define @t464 () (tptp.c_Relation_OImage @t45 @t23 @t44 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t452 @t25 @t21))) % 9.43/9.62 (define @t465 () (@list @t21 @t25 @t44 @t45 @t23)) % 9.43/9.62 (define @t466 () (tptp.c_Relation_Oconverse @t45 @t23 @t127)) % 9.43/9.62 (define @t467 () (tptp.c_Relation_Oconverse @t45 @t23 @t85)) % 9.43/9.62 (define @t468 () (@list @t127 @t85 @t23 @t45)) % 9.43/9.62 (define @t469 () (tptp.c_Relation_Oconverse @t23 @t23 @t254)) % 9.43/9.62 (define @t470 () (tptp.c_Transitive__Closure_Otrancl @t23 @t451)) % 9.43/9.62 (define @t471 () (tptp.c_Relation_Oconverse @t23 @t45 @t85)) % 9.43/9.62 (define @t472 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t451)) % 9.43/9.62 (define @t473 () (tptp.c_Product__Type_OPair @t45 @t23 @t61 @t62)) % 9.43/9.62 (define @t474 () (tptp.c_member @t240 @t473 @t85)) % 9.43/9.62 (define @t475 () (tptp.c_member @t47 @t97 @t467)) % 9.43/9.62 (define @t476 () (tptp.c_Relation_ODomain @t23 @t45 @t467)) % 9.43/9.62 (define @t477 () (tptp.c_member @t45 @t3 @t25)) % 9.43/9.62 (define @t478 () (tptp.c_member @t23 @t61 (tptp.c_Relation_OImage @t45 @t23 @t85 @t25))) % 9.43/9.62 (define @t479 () (@list @t25 @t85 @t45 @t61 @t23)) % 9.43/9.62 (define @t480 () (tptp.c_Relation_OImage @t23 @t45 @t85 @t25)) % 9.43/9.62 (define @t481 () (tptp.c_member @t87 @t187 @t472)) % 9.43/9.62 (define @t482 () (tptp.c_member @t87 @t278 @t163)) % 9.43/9.62 (define @t483 () (@list @t85 @t32 @t33 @t23)) % 9.43/9.62 (define @t484 () (tptp.c_member @t87 @t187 @t470)) % 9.43/9.62 (define @t485 () (tptp.c_member @t87 @t187 @t469)) % 9.43/9.62 (define @t486 () (tptp.c_Order__Relation_Opartial__order__on @t23 @t25 @t85)) % 9.43/9.62 (define @t487 () (tptp.c_Order__Relation_Olinear__order__on @t23 @t25 @t85)) % 9.43/9.62 (define @t488 () (tptp.c_Order__Relation_Opreorder__on @t23 @t25 @t85)) % 9.43/9.62 (define @t489 () (tptp.c_Equiv__Relations_Oequiv @t23 @t25 @t85)) % 9.43/9.62 (define @t490 () (@list @t61 @t62 @t85 @t25 @t23)) % 9.43/9.62 (define @t491 () (tptp.c_Set_Oinsert @t23 @t32 @t386)) % 9.43/9.62 (define @t492 () (tptp.c_Relation_OImage @t23 @t23 @t85 @t405)) % 9.43/9.62 (define @t493 () (= @t492 (tptp.c_Relation_OImage @t23 @t23 @t85 @t491))) % 9.43/9.62 (define @t494 () (=> @t103 @t153)) % 9.43/9.62 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t456 @t455)) % 9.43/9.62 (define @t496 () (tptp.c_Order__Relation_Opreorder__on @t23 @t352 @t85)) % 9.43/9.62 (define @t497 () (tptp.c_Equiv__Relations_Oquotient @t23 @t405 @t85)) % 9.43/9.62 (define @t498 () (tptp.class_Orderings_Opreorder @t23)) % 9.43/9.62 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t21 @t25)) % 9.43/9.62 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t21)) % 9.43/9.62 (define @t501 () (=> @t26 @t24)) % 9.43/9.62 (define @t502 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t288 tptp.tc_HOL_Obool))) % 9.43/9.62 (define @t503 () (tptp.c_Equiv__Relations_Oquotient @t23 @t25 @t85)) % 9.43/9.62 (define @t504 () (@var "V_D_2" $$unsorted)) % 9.43/9.62 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t21 @t504)) % 9.43/9.62 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t310)) % 9.43/9.62 (define @t507 () (@list @t504 @t21 @t310 @t25 @t23)) % 9.43/9.62 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t310 @t25)) % 9.43/9.62 (define @t509 () (@list @t21 @t25 @t310 @t23)) % 9.43/9.62 (define @t510 () (@list @t25 @t21 @t23)) % 9.43/9.62 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t99)) % 9.43/9.62 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t101)) % 9.43/9.62 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t431)) % 9.43/9.62 (define @t514 () (@list @t99 @t101 @t360 @t23)) % 9.43/9.62 (define @t515 () (@var "V_d" $$unsorted)) % 9.43/9.62 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t99 @t515)) % 9.43/9.62 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t101 @t370)) % 9.43/9.62 (define @t518 () (@list @t515 @t99 @t370 @t101 @t23)) % 9.43/9.62 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t373)) % 9.43/9.62 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t364)) % 9.43/9.62 (define @t521 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t364 @t360)) % 9.43/9.62 (define @t522 () (@list @t360 @t364 @t23)) % 9.43/9.62 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t431 @t360)) % 9.43/9.62 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t99 @t360)) % 9.43/9.62 (define @t525 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t101 @t360)) % 9.43/9.62 (define @t526 () (@list @t99 @t360 @t101 @t23)) % 9.43/9.62 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t33 @t36)) % 9.43/9.62 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t33 @t32)) % 9.43/9.62 (define @t529 () (@list @t36 @t32 @t33 @t23)) % 9.43/9.62 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t427 @t364)) % 9.43/9.62 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t427 @t360)) % 9.43/9.62 (define @t532 () (@var "V_A_H_2" $$unsorted)) % 9.43/9.62 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t85 @t127)) % 9.43/9.62 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t321 @t85 @t127)) % 9.43/9.62 (define @t535 () (@list @t127 @t85 @t45 @t23)) % 9.43/9.62 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t366)) % 9.43/9.62 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t364 @t366)) % 9.43/9.62 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t362)) % 9.43/9.62 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t362 @t360)) % 9.43/9.62 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t373 @t360)) % 9.43/9.62 (define @t541 () (@list @t373 @t360 @t364 @t23)) % 9.43/9.62 (define @t542 () (= @t289 @t21)) % 9.43/9.62 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t21 @t310)) % 9.43/9.62 (define @t544 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t127)) % 9.43/9.62 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t163 @t544)) % 9.43/9.62 (define @t546 () (tptp.hAPP @t348 @t33)) % 9.43/9.62 (define @t547 () (tptp.hBOOL @t546)) % 9.43/9.62 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t48 @t348)) % 9.43/9.62 (define @t549 () (@list @t23 @t21 @t25)) % 9.43/9.62 (define @t550 () (@var "V_R1_2" $$unsorted)) % 9.43/9.62 (define @t551 () (@var "V_R2_2" $$unsorted)) % 9.43/9.62 (define @t552 () (@list @t175 @t85 @t23)) % 9.43/9.62 (define @t553 () (tptp.class_Orderings_Olinorder @t23)) % 9.43/9.62 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t23 @t45) @t2 @t1)) % 9.43/9.62 (define @t555 () (tptp.class_Orderings_Oord @t45)) % 9.43/9.62 (define @t556 () (tptp.class_Orderings_Oorder @t23)) % 9.43/9.62 (define @t557 () (= @t360 @t364)) % 9.43/9.62 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t101)) % 9.43/9.62 (define @t559 () (= @t99 @t370)) % 9.43/9.62 (define @t560 () (tptp.class_Orderings_Oord @t23)) % 9.43/9.62 (define @t561 () (= @t101 @t99)) % 9.43/9.62 (define @t562 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t32 @t33)) % 9.43/9.62 (define @t563 () (@var "V_X_2" $$unsorted)) % 9.43/9.62 (define @t564 () (@var "V_Y_2" $$unsorted)) % 9.43/9.62 (define @t565 () (= @t563 @t564)) % 9.43/9.62 (define @t566 () (tptp.c_member @t288 @t564 @t503)) % 9.43/9.62 (define @t567 () (tptp.c_member @t288 @t563 @t503)) % 9.43/9.62 (define @t568 () (tptp.c_member @t23 @t32 @t564)) % 9.43/9.62 (define @t569 () (tptp.c_member @t23 @t33 @t563)) % 9.43/9.62 (define @t570 () (@list @t32 @t33 @t564 @t563 @t85 @t25 @t23)) % 9.43/9.62 (define @t571 () (tptp.c_Wellfounded_Omlex__prod @t23 @t2 @t44)) % 9.43/9.62 (define @t572 () (tptp.hBOOL (tptp.hAPP @t546 @t32))) % 9.43/9.62 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t23 @t452) @t48 @t348)) % 9.43/9.62 (define @t574 () (tptp.hBOOL (tptp.hAPP @t53 @t32))) % 9.43/9.62 (define @t575 () (@var "V_r2_2" $$unsorted)) % 9.43/9.62 (define @t576 () (@var "V_r1_2" $$unsorted)) % 9.43/9.62 (define @t577 () (tptp.c_Groups_Ominus__class_Ominus @t288 @t25 @t21)) % 9.43/9.62 (define @t578 () (tptp.c_member @t23 @t22 @t577)) % 9.43/9.62 (define @t579 () (tptp.c_Groups_Ominus__class_Ominus @t288 @t21 @t25)) % 9.43/9.62 (define @t580 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t579)) % 9.43/9.62 (define @t581 () (tptp.c_Groups_Ominus__class_Ominus @t288 @t25 @t310)) % 9.43/9.62 (define @t582 () (tptp.c_Groups_Ominus__class_Ominus @t288 @t21 @t310)) % 9.43/9.62 (define @t583 () (@var "T_1" $$unsorted)) % 9.43/9.62 (define @t584 () (@var "T_2" $$unsorted)) % 9.43/9.62 (define @t585 () (tptp.tc_fun @t584 @t583)) % 9.43/9.62 (define @t586 () (tptp.class_Lattices_Obounded__lattice @t583)) % 9.43/9.62 (define @t587 () (@list @t584 @t583)) % 9.43/9.62 (define @t588 () (tptp.class_Lattices_Olattice @t583)) % 9.43/9.62 (define @t589 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t33) @t32))) % 9.43/9.62 (define @t590 () (@list @t32 @t33)) % 9.43/9.62 (define @t591 () (tptp.c_member @t11 @t10 (tptp.hAPP tptp.v_F tptp.v_P_H____))) % 9.43/9.62 (define @t592 () (tptp.c_member @t11 @t13 (tptp.hAPP tptp.v_F tptp.v_P____))) % 9.43/9.62 (define @t593 () (= @t592 @t591)) % 9.43/9.62 (define @t594 () (not @t593)) % 9.43/9.62 (define @t595 () (not @t68)) % 9.43/9.62 (define @t596 () (not @t70)) % 9.43/9.62 (define @t597 () (not @t72)) % 9.43/9.62 (define @t598 () (= @t58 @t61)) % 9.43/9.62 (define @t599 () (= @t57 @t62)) % 9.43/9.62 (define @t600 () (= @t57 @t58)) % 9.43/9.62 (define @t601 () (or @t402 @t600 @t599 @t598 @t597 @t596 @t595 @t65)) % 9.43/9.62 (define @t602 () (or @t600 @t599 @t598 @t597 @t596 @t595 @t65)) % 9.43/9.62 (define @t603 () (or @t599 @t598 @t597 @t596 @t595 @t65)) % 9.43/9.62 (define @t604 () (or @t598 @t597 @t596 @t595 @t65)) % 9.43/9.62 (define @t605 () (or @t597 @t596 @t595 @t65)) % 9.43/9.62 (define @t606 () (or @t596 @t595 @t65)) % 9.43/9.62 (define @t607 () (not @t598)) % 9.43/9.62 (define @t608 () (=> @t607 @t73)) % 9.43/9.62 (define @t609 () (not @t599)) % 9.43/9.62 (define @t610 () (=> @t609 @t608)) % 9.43/9.62 (define @t611 () (not @t600)) % 9.43/9.62 (define @t612 () (=> @t611 @t610)) % 9.43/9.62 (define @t613 () (not @t402)) % 9.43/9.62 (define @t614 () (forall @t15 (= @t12 @t14))) % 9.43/9.62 (define @t615 () (not @t614)) % 9.43/9.62 (define @t616 () (not @t19)) % 9.43/9.62 (define @t617 () (not @t20)) % 9.43/9.62 (define @t618 () (= tptp.v_b____ tptp.v_a____)) % 9.43/9.62 (define @t619 () (= tptp.v_b_H____ tptp.v_a_H____)) % 9.43/9.62 (define @t620 () (or @t619 @t618 @t7 @t8 @t617 @t616 @t615 (= @t591 @t592))) % 9.43/9.62 (define @t621 () (forall @t83 @t601)) % 9.43/9.62 (define @t622 () (not @t16)) % 9.43/9.62 (define @t623 () (or @t619 @t618 @t7 @t8 @t617 @t616 @t622 @t593)) % 9.43/9.62 (define @t624 () (not @t591)) % 9.43/9.62 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 9.43/9.62 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 9.43/9.62 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 9.43/9.62 (assume @p4 (not (= tptp.v_a____ tptp.v_b____))) % 9.43/9.62 (assume @p5 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 9.43/9.62 (assume @p6 (and (not @t8) (not @t7))) % 9.43/9.62 (assume @p7 @t16) % 9.43/9.62 (assume @p8 @t19) % 9.43/9.62 (assume @p9 @t20) % 9.43/9.62 (assume @p10 (forall (@list @t22 @t23 @t21 @t25) (=> @t30 (=> @t29 (not @t27))))) % 9.43/9.62 (assume @p11 (forall @t43 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t31 @t36)) (and @t42 (=> @t37 @t40) (=> @t38 @t35))))) % 9.43/9.62 (assume @p12 (forall @t43 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Omktop @t31 @t36)) (and @t38 (=> @t41 @t40) (=> @t42 @t35))))) % 9.43/9.62 (assume @p13 (forall (@list @t32 @t33 @t44 @t45 @t23) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t23 @t45 @t44) @t33) @t32)) (tptp.c_member @t47 @t46 @t44)))) % 9.43/9.62 (assume @p14 (forall (@list @t23 @t44 @t32 @t50 @t45 @t33 @t48) (=> @t54 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t45 @t45 @t50 @t32) (tptp.hAPP @t44 @t33)) (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 (tptp.c_Product__Type_OPair @t23 @t45 @t33 @t50) @t46) @t49))))) % 9.43/9.62 (assume @p15 @t84) % 9.43/9.62 (assume @p16 (forall @t89 (= (tptp.c_Nitpick_Orefl_H @t23 @t85) (forall @t6 @t88)))) % 9.43/9.62 (assume @p17 (forall (@list @t45 @t23 @t48) (= (forall (@list @t94) (tptp.hBOOL (tptp.hAPP @t48 @t94))) (forall @t93 (tptp.hBOOL (tptp.hAPP @t48 @t92)))))) % 9.43/9.62 (assume @p18 (forall (@list @t57 @t58 @t61 @t62 @t45 @t23) (= (= @t97 @t96) (and @t95 (= @t61 @t57))))) % 9.43/9.62 (assume @p19 (forall (@list @t98 @t100 @t99 @t101 @t45 @t23) (=> (= (tptp.c_Product__Type_OPair @t23 @t45 @t101 @t99) (tptp.c_Product__Type_OPair @t23 @t45 @t100 @t98)) (not (=> (= @t101 @t100) (not (= @t99 @t98))))))) % 9.43/9.62 (assume @p20 (forall @t104 (=> @t80 (=> @t103 @t102)))) % 9.43/9.62 (assume @p21 (forall (@list @t25 @t23 @t32 @t33) (=> @t39 (= @t106 @t105)))) % 9.43/9.62 (assume @p22 (forall (@list @t33 @t23 @t21 @t25) (=> @t30 (= @t106 @t107)))) % 9.43/9.62 (assume @p23 (forall @t110 (= @t106 @t109))) % 9.43/9.62 (assume @p24 (forall (@list @t55 @t48 @t61 @t62) (=> @t81 (=> @t72 (=> @t70 (=> (forall @t15 (= @t67 (tptp.c_member @t11 @t111 @t66))) (= @t64 (tptp.c_member @t11 @t111 @t56)))))))) % 9.43/9.62 (assume @p25 (forall (@list @t55 @t48 @t22 @t61 @t62) (=> @t81 (=> (not @t114) (=> (not @t113) (=> @t72 (=> @t70 (=> (forall @t15 (= @t67 (tptp.c_member @t11 @t112 @t66))) (= @t64 (tptp.c_member @t11 @t112 @t56)))))))))) % 9.43/9.62 (assume @p26 (forall @t83 (=> @t81 (=> @t78 (=> @t76 (=> @t74 (=> @t72 (=> @t70 (=> @t68 (=> @t64 @t60)))))))))) % 9.43/9.62 (assume @p27 (forall (@list @t61 @t62 @t115 @t23 @t116 @t45) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t45 @t116 @t23 @t115 @t117) (tptp.hAPP (tptp.hAPP @t115 @t62) @t61)))) % 9.43/9.62 (assume @p28 (forall @t126 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t119) (forall @t6 (=> @t125 (forall @t124 (=> (tptp.c_member @t18 @t118 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t93 (=> (forall @t15 (= @t123 (tptp.c_member @t11 @t120 (tptp.hAPP @t118 @t9)))) (= @t122 (tptp.c_member @t11 @t120 (tptp.hAPP @t119 @t118)))))))))))) % 9.43/9.62 (assume @p29 (forall @t126 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t119) (forall @t6 (=> @t125 (forall @t93 (=> (forall @t15 @t123) @t122))))))) % 9.43/9.62 (assume @p30 (forall (@list @t127 @t85 @t57 @t58 @t61 @t62 @t45 @t23) (= (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t97 @t96) (tptp.c_Wellfounded_Olex__prod @t23 @t45 @t85 @t127)) (or (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t58) @t85) (and @t95 (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t45 @t45 @t61 @t57) @t127)))))) % 9.43/9.62 (assume @p31 (forall (@list @t128 @t119) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t119 @t128) (forall @t6 (=> @t125 (= @t121 (tptp.hAPP @t3 @t128))))))) % 9.43/9.62 (assume @p32 (forall (@list @t61 @t62 @t22 @t23 @t116 @t45) (= (tptp.c_Product__Type_Ointernal__split @t45 @t116 @t23 @t22 @t117) (tptp.hAPP (tptp.hAPP @t22 @t62) @t61)))) % 9.43/9.62 (assume @p33 (forall @t138 (= (tptp.c_Recdef_Owfrec__rel @t23 @t45 @t44 @t119 @t131 @t136) (exists @t137 (and (= @t136 @t134) @t133))))) % 9.43/9.62 (assume @p34 (forall (@list @t61 @t62 @t31) (=> @t139 (=> (tptp.c_member @t11 @t63 @t31) (not (tptp.c_member @t11 @t111 @t31)))))) % 9.43/9.62 (assume @p35 (forall @t140 (=> @t139 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Omktop @t31 @t33) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 9.43/9.62 (assume @p36 (forall @t140 (=> @t139 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t31 @t33) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 9.43/9.62 (assume @p37 (forall (@list @t32 @t33 @t31) (=> @t139 (=> @t40 (= (not @t35) (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t32 @t33) @t31)))))) % 9.43/9.62 (assume @p38 (forall @t144 (=> @t81 (=> @t139 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Oabove @t31 @t62 @t61)) (and @t40 (=> @t143 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t32) @t31)) (=> (not @t143) (and (=> @t141 (or @t142 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t33 @t62) @t31))) (=> (not @t141) @t35))))))))) % 9.43/9.62 (assume @p39 (forall @t144 (=> @t81 (=> @t139 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Obelow @t31 @t62 @t61)) (and @t40 (=> @t145 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t33 @t61) @t31)) (=> (not @t145) (and (=> @t142 (or @t141 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t61 @t32) @t31))) (=> (not @t142) @t35))))))))) % 9.43/9.62 (assume @p40 (forall @t146 (=> @t40 (=> @t139 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Oabove @t31 @t33 @t32) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 9.43/9.62 (assume @p41 (forall @t146 (=> @t40 (=> @t139 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Obelow @t31 @t33 @t32) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 9.43/9.62 (assume @p42 (forall (@list @t61 @t62) (=> @t81 (exists @t6 (and (tptp.c_member @t17 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t11 @t63 @t3)))))) % 9.43/9.62 (assume @p43 (forall @t138 (= (tptp.c_Recdef_Owfrec__rel @t23 @t45 @t44 @t119 @t131 @t135) (exists @t137 (and (= @t135 @t134) @t133))))) % 9.43/9.62 (assume @p44 (forall (@list @t1 @t119 @t45 @t44 @t33 @t23) (=> (forall @t132 (=> @t147 (tptp.c_Recdef_Owfrec__rel @t23 @t45 @t44 @t119 @t129 (tptp.hAPP @t1 @t129)))) (tptp.c_Recdef_Owfrec__rel @t23 @t45 @t44 @t119 @t33 (tptp.hAPP (tptp.hAPP @t119 @t1) @t33))))) % 9.43/9.62 (assume @p45 (forall @t151 (= @t150 (forall @t6 (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t62) @t85) @t149))))) % 9.43/9.62 (assume @p46 (forall (@list @t62 @t85 @t61 @t23) (=> @t154 (=> @t153 @t150)))) % 9.43/9.62 (assume @p47 (forall (@list @t61 @t62 @t45 @t23 @t2) (=> @t156 @t155))) % 9.43/9.62 (assume @p48 (forall (@list @t61 @t62 @t2 @t45 @t23) (=> @t155 @t156))) % 9.43/9.62 (assume @p49 (forall (@list @t61 @t62 @t2 @t23 @t116 @t45) (= (tptp.c_Product__Type_Ocurry @t45 @t116 @t23 @t2 @t62 @t61) (tptp.hAPP @t2 @t117)))) % 9.43/9.62 (assume @p50 (forall (@list @t44 @t33 @t23) (=> (not (tptp.c_member @t23 @t33 @t157)) (not (forall @t132 (=> @t147 (tptp.c_member @t23 @t129 @t157))))))) % 9.43/9.62 (assume @p51 (forall @t162 (=> (forall @t161 (=> @t160 (tptp.c_member @t23 @t159 @t148))) @t158))) % 9.43/9.62 (assume @p52 (forall (@list @t85 @t62 @t61 @t23) (=> @t165 (=> @t150 @t154)))) % 9.43/9.62 (assume @p53 (forall (@list @t61 @t85 @t62 @t23) (=> @t150 (=> @t165 @t154)))) % 9.43/9.62 (assume @p54 (forall (@list @t2 @t45 @t85 @t62 @t33 @t23) (=> @t169 (= (tptp.hAPP @t167 @t33) @t166)))) % 9.43/9.62 (assume @p55 (forall (@list @t1 @t33 @t85 @t2 @t45 @t23) (= (= (tptp.c_Recdef_Ocut @t23 @t45 @t2 @t85 @t33) (tptp.c_Recdef_Ocut @t23 @t45 @t1 @t85 @t33)) (forall @t161 (=> @t160 (= (tptp.hAPP @t2 @t159) (tptp.hAPP @t1 @t159))))))) % 9.43/9.62 (assume @p56 (forall (@list @t45 @t62 @t33 @t23 @t170 @t171) (=> (tptp.c_member @t87 @t168 @t171) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t23 @t45 @t170 @t171 @t62) @t33) (tptp.hAPP @t170 @t33))))) % 9.43/9.62 (assume @p57 (exists (@list @t172) (tptp.c_member @t17 @t172 tptp.c_Arrow__Order__Mirabelle_OLin))) % 9.43/9.62 (assume @p58 (forall @t173 (= (tptp.c_member @t23 @t33 (tptp.c_fequal @t32)) @t39))) % 9.43/9.62 (assume @p59 (forall @t151 (tptp.c_member @t87 @t174 @t163))) % 9.43/9.62 (assume @p60 (forall @t177 (=> @t176 (tptp.c_member @t87 @t175 @t163)))) % 9.43/9.62 (assume @p61 (forall @t183 (=> @t153 @t182))) % 9.43/9.62 (assume @p62 (forall @t183 (=> @t185 (=> @t184 @t179)))) % 9.43/9.62 (assume @p63 (forall @t183 (=> @t185 @t182))) % 9.43/9.62 (assume @p64 (forall @t89 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t163) @t163))) % 9.43/9.62 (assume @p65 (forall (@list @t33 @t119 @t44 @t23 @t45) (= (tptp.c_Nitpick_Owf__wfrec_H @t45 @t23 @t44 @t119 @t33) (tptp.hAPP (tptp.hAPP @t119 (tptp.c_Recdef_Ocut @t45 @t23 (tptp.c_Nitpick_Owf__wfrec @t45 @t23 @t44 @t119) @t44 @t33)) @t33)))) % 9.43/9.62 (assume @p66 (forall (@list @t32 @t44 @t33 @t23) (=> (not (tptp.c_member @t23 @t33 (tptp.c_Relation_ODomain @t23 @t23 @t44))) (= @t188 @t39)))) % 9.43/9.62 (assume @p67 (forall (@list @t36 @t32 @t33 @t85 @t23) (=> (tptp.c_Relation_Osingle__valued @t23 @t23 @t85) (=> @t192 (=> @t191 (or (tptp.c_member @t87 @t189 @t163) (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t36 @t32) @t163))))))) % 9.43/9.62 (assume @p68 (forall @t196 (=> @t195 @t194))) % 9.43/9.62 (assume @p69 (forall @t198 (= @t194 (exists @t161 @t197)))) % 9.43/9.62 (assume @p70 (forall (@list @t36 @t32 @t33 @t85 @t45 @t23) (=> @t199 (=> (tptp.c_member @t47 @t46 @t85) (=> (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t23 @t45 @t33 @t36) @t85) @t41))))) % 9.43/9.62 (assume @p71 (forall @t202 (= @t199 @t201))) % 9.43/9.62 (assume @p72 (forall @t219 (=> @t218 (=> @t216 (=> (forall @t93 (=> (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t215 @t92) @t212) (forall (@list @t207 @t206) (=> @t211 (=> @t209 @t208))))) @t205))))) % 9.43/9.62 (assume @p73 (forall @t219 (=> @t218 (=> @t205 (=> (forall (@list @t91 @t90 @t207 @t206) (=> @t211 (=> (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t210 @t217) @t212) (=> @t208 @t209)))) @t216))))) % 9.43/9.62 (assume @p74 (forall (@list @t85 @t220 @t221 @t223 @t224 @t45 @t23) (=> (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t225 @t222) @t212) (=> (not (= @t225 @t222)) (not (forall @t93 (=> (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t225 @t92) @t85) (not (tptp.c_member @t51 (tptp.c_Product__Type_OPair @t47 @t47 @t92 @t222) @t212))))))))) % 9.43/9.62 (assume @p75 (forall @t198 (=> @t194 (not (forall @t161 (not @t197)))))) % 9.43/9.62 (assume @p76 (forall @t227 (=> @t185 (=> @t81 (not (forall @t161 (=> @t226 (not (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t159 @t61) @t85))))))))) % 9.43/9.62 (assume @p77 (forall @t89 (= (tptp.c_Relation_Oirrefl @t23 @t85) (forall @t6 (not @t88))))) % 9.43/9.62 (assume @p78 (forall @t196 (=> @t195 (tptp.c_member @t45 @t61 (tptp.c_Relation_ORange @t23 @t45 @t85))))) % 9.43/9.62 (assume @p79 (forall @t229 (= (tptp.c_member @t87 @t187 @t228) (and @t39 @t106)))) % 9.43/9.62 (assume @p80 (forall @t104 (=> @t80 (=> @t102 (tptp.c_member @t87 @t152 @t228))))) % 9.43/9.62 (assume @p81 (forall @t202 (=> @t201 @t199))) % 9.43/9.62 (assume @p82 (forall @t235 (=> @t185 (=> @t234 (=> (forall @t161 (=> @t226 (forall @t132 (=> @t233 (=> @t232 @t231))))) @t230))))) % 9.43/9.62 (assume @p83 (forall @t235 (=> @t185 (=> @t230 (=> (forall (@list @t159 @t129) (=> @t233 (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t129 @t61) @t163) (=> @t231 @t232)))) @t234))))) % 9.43/9.62 (assume @p84 (forall @t238 (=> @t191 (=> @t38 (not (forall @t161 (=> @t237 (not (tptp.c_member @t87 @t236 @t163))))))))) % 9.43/9.62 (assume @p85 (forall @t239 (= (tptp.c_Relation_ORange @t23 @t23 @t228) @t25))) % 9.43/9.62 (assume @p86 (forall @t239 (= (tptp.c_Relation_ODomain @t23 @t23 @t228) @t25))) % 9.43/9.62 (assume @p87 (forall @t239 (tptp.c_Relation_Osingle__valued @t23 @t23 @t228))) % 9.43/9.62 (assume @p88 (forall @t198 (= (tptp.c_member @t23 @t62 @t241) (exists @t161 (tptp.c_member @t240 (tptp.c_Product__Type_OPair @t45 @t23 @t159 @t62) @t85))))) % 9.43/9.62 (assume @p89 (forall (@list @t25 @t22 @t23) (=> (tptp.c_member @t87 @t22 @t228) (not (forall @t6 (=> @t242 (not (= @t22 @t86)))))))) % 9.43/9.62 (assume @p90 (forall (@list @t85 @t45 @t61 @t23) (=> (tptp.c_member @t23 @t61 @t241) (not (forall @t6 (not @t243)))))) % 9.43/9.62 (assume @p91 (forall @t247 (= @t246 (forall @t6 (=> @t242 (forall @t124 (=> (tptp.c_member @t23 @t118 @t25) (=> @t245 (or (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t118) @t85) @t244))))))))) % 9.43/9.62 (assume @p92 (forall (@list @t2 @t85 @t45 @t32 @t33 @t23) (= (tptp.c_member @t87 @t187 (tptp.c_Relation_Oinv__image @t45 @t23 @t85 @t2)) (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t45 @t45 @t166 @t248) @t85)))) % 9.43/9.62 (assume @p93 (forall @t251 (=> @t250 (=> @t249 @t105)))) % 9.43/9.62 (assume @p94 (forall @t251 (=> @t250 (=> @t249 @t106)))) % 9.43/9.62 (assume @p95 (forall @t253 (=> @t250 (=> @t102 @t252)))) % 9.43/9.62 (assume @p96 (forall @t227 (=> @t255 @t185))) % 9.43/9.62 (assume @p97 (forall @t227 (=> @t153 @t255))) % 9.43/9.62 (assume @p98 (forall @t177 (=> @t176 @t256))) % 9.43/9.62 (assume @p99 (forall @t258 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t257) @t186))) % 9.43/9.62 (assume @p100 (forall @t258 (= (tptp.c_Transitive__Closure_Otrancl @t23 @t186) @t186))) % 9.43/9.62 (assume @p101 (forall @t89 (= (tptp.c_Relation_ODomain @t23 @t23 @t254) @t259))) % 9.43/9.62 (assume @p102 (forall @t89 (= (tptp.c_Relation_ORange @t23 @t23 @t254) @t260))) % 9.43/9.62 (assume @p103 (forall @t239 (tptp.c_Relation_Orefl__on @t23 @t25 @t228))) % 9.43/9.62 (assume @p104 (forall (@list @t22 @t44 @t61 @t62 @t23) (=> (tptp.c_member @t87 @t152 @t44) (=> (tptp.c_member @t87 @t180 @t44) (tptp.c_member @t87 @t178 @t257))))) % 9.43/9.62 (assume @p105 (forall @t183 (=> @t153 @t262))) % 9.43/9.62 (assume @p106 (forall @t183 (=> @t255 @t263))) % 9.43/9.62 (assume @p107 (forall @t183 (=> @t255 @t262))) % 9.43/9.62 (assume @p108 (forall @t265 (= @t188 (or @t39 (and @t40 @t264))))) % 9.43/9.62 (assume @p109 (forall @t183 (=> @t153 @t266))) % 9.43/9.62 (assume @p110 (forall (@list @t44 @t61 @t62 @t23) (=> (tptp.c_member @t87 @t152 @t186) (or @t80 (and @t81 (tptp.c_member @t87 @t152 @t257)))))) % 9.43/9.62 (assume @p111 (forall @t183 (=> @t185 @t263))) % 9.43/9.62 (assume @p112 (forall @t183 (=> @t255 @t266))) % 9.43/9.62 (assume @p113 (forall (@list @t36 @t85 @t32 @t33 @t23) (=> @t192 (=> (tptp.c_member @t87 @t189 @t254) @t267)))) % 9.43/9.62 (assume @p114 (forall @t265 (=> @t264 (exists @t132 (and (tptp.c_member @t87 @t269 @t44) (tptp.c_member @t87 @t268 @t186)))))) % 9.43/9.62 (assume @p115 (forall @t265 (=> @t264 (exists @t132 (and (tptp.c_member @t87 @t269 @t186) (tptp.c_member @t87 @t268 @t44)))))) % 9.43/9.62 (assume @p116 (forall @t89 (= @t271 @t270))) % 9.43/9.62 (assume @p117 (forall (@list @t32 @t33 @t85 @t23) (=> @t270 (=> @t249 @t40)))) % 9.43/9.62 (assume @p118 (forall @t238 (=> @t267 (=> (not (tptp.c_member @t87 @t190 @t85)) (not (forall @t161 (=> @t237 (not (tptp.c_member @t87 @t236 @t254))))))))) % 9.43/9.62 (assume @p119 (forall @t227 (=> @t255 (=> (not @t153) (not (forall (@list @t272) (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t272) @t254) (not (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t272 @t61) @t85))))))))) % 9.43/9.62 (assume @p120 (forall @t274 (tptp.c_member @t87 @t174 @t273))) % 9.43/9.62 (assume @p121 (forall @t275 (tptp.c_Relation_Osingle__valued @t23 @t23 @t273))) % 9.43/9.62 (assume @p122 (forall @t276 (= (tptp.c_member @t87 @t152 @t273) @t80))) % 9.43/9.62 (assume @p123 (forall @t89 (=> @t270 @t271))) % 9.43/9.62 (assume @p124 (forall (@list @t175 @t23) (=> (tptp.c_member @t87 @t175 @t273) (not (forall @t6 (not (= @t175 @t86))))))) % 9.43/9.62 (assume @p125 (forall @t280 (= (tptp.c_Wellfounded_Oacyclic @t23 @t279) (and @t271 @t277)))) % 9.43/9.62 (assume @p126 (forall @t89 (=> @t271 (tptp.c_Relation_Oantisym @t23 @t163)))) % 9.43/9.62 (assume @p127 (forall @t89 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t254 @t273) @t163))) % 9.43/9.62 (assume @p128 (forall @t89 (= (tptp.c_Transitive__Closure_Otrancl @t23 @t282) @t163))) % 9.43/9.62 (assume @p129 (forall @t285 (=> @t284 (=> @t153 (=> @t283 @t80))))) % 9.43/9.62 (assume @p130 (forall @t291 (=> @t290 (=> (not @t109) @t287)))) % 9.43/9.62 (assume @p131 (forall (@list @t23 @t25 @t33 @t21) (=> (=> @t292 @t109) @t290))) % 9.43/9.62 (assume @p132 (forall @t294 (=> @t293 (=> @t81 @t102)))) % 9.43/9.62 (assume @p133 (forall @t298 (=> (=> (not @t297) @t80) @t296))) % 9.43/9.62 (assume @p134 (forall @t300 (=> @t299 @t27))) % 9.43/9.62 (assume @p135 (forall @t301 (=> (=> @t28 @t26) @t299))) % 9.43/9.62 (assume @p136 (forall @t89 (= (tptp.c_Relation_Oantisym @t23 @t282) @t284))) % 9.43/9.62 (assume @p137 (forall (@list @t21 @t25 @t23 @t45) (= (tptp.c_Relation_ORange @t45 @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t304 @t25 @t21)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t303 @t302)))) % 9.43/9.62 (assume @p138 (forall @t239 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t25) @t25))) % 9.43/9.62 (assume @p139 (forall @t306 (= @t289 @t305))) % 9.43/9.62 (assume @p140 (forall @t110 (= (tptp.c_Set_Oinsert @t23 @t33 @t307) @t307))) % 9.43/9.62 (assume @p141 (forall @t306 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t289) @t289))) % 9.43/9.62 (assume @p142 (forall @t229 (= (tptp.c_Set_Oinsert @t23 @t33 @t308) (tptp.c_Set_Oinsert @t23 @t32 @t307)))) % 9.43/9.62 (assume @p143 (forall (@list @t21 @t62 @t25 @t23) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t309) (tptp.c_Set_Oinsert @t23 @t62 @t289)))) % 9.43/9.62 (assume @p144 (forall @t314 (= @t313 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t21 @t311)))) % 9.43/9.62 (assume @p145 (forall (@list @t310 @t21 @t62 @t23) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t309 @t310) (tptp.c_Set_Oinsert @t23 @t62 @t312)))) % 9.43/9.62 (assume @p146 (forall @t314 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t289 @t310) @t313))) % 9.43/9.62 (assume @p147 (forall @t318 (= (exists @t6 (and @t317 @t315)) (or (exists @t6 (and @t242 @t315)) (exists @t6 (and @t316 @t315)))))) % 9.43/9.62 (assume @p148 (forall @t318 (= (forall @t6 (=> @t317 @t315)) (and (forall @t6 (=> @t242 @t315)) (forall @t6 (=> @t316 @t315)))))) % 9.43/9.62 (assume @p149 (forall (@list @t33 @t25 @t32 @t23) (= (tptp.hBOOL (tptp.hAPP @t308 @t33)) (or (= @t32 @t33) @t109)))) % 9.43/9.62 (assume @p150 (forall (@list @t21 @t23 @t33 @t25) (=> @t109 @t290))) % 9.43/9.62 (assume @p151 (forall (@list @t25 @t23 @t33 @t21) (=> @t287 @t290))) % 9.43/9.62 (assume @p152 (forall @t322 (= (tptp.c_Relation_ODomain @t23 @t45 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t321 @t25 @t21)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t320 @t319)))) % 9.43/9.62 (assume @p153 (forall @t325 (=> @t250 (=> @t324 (tptp.c_Relation_Orefl__on @t23 @t289 @t323))))) % 9.43/9.62 (assume @p154 (forall @t196 (= (tptp.c_Relation_ODomain @t23 @t45 (tptp.c_Set_Oinsert @t47 @t97 @t85)) (tptp.c_Set_Oinsert @t23 @t62 @t193)))) % 9.43/9.62 (assume @p155 (forall (@list @t85 @t61 @t62 @t23 @t45) (= (tptp.c_Relation_ORange @t45 @t23 (tptp.c_Set_Oinsert @t240 @t326 @t85)) (tptp.c_Set_Oinsert @t23 @t61 @t241)))) % 9.43/9.62 (assume @p156 (forall @t300 (= @t299 (or @t26 @t24)))) % 9.43/9.62 (assume @p157 (forall @t300 (=> @t26 @t299))) % 9.43/9.62 (assume @p158 (forall @t301 (=> @t24 @t299))) % 9.43/9.62 (assume @p159 (forall (@list @t21 @t62 @t23) (tptp.c_member @t23 @t62 @t309))) % 9.43/9.62 (assume @p160 (forall @t294 (= @t293 (or @t80 @t102)))) % 9.43/9.62 (assume @p161 (forall @t329 (=> @t328 (=> (not @t107) (= (= @t307 @t327) @t30))))) % 9.43/9.62 (assume @p162 (forall @t298 (=> @t297 @t296))) % 9.43/9.62 (assume @p163 (forall @t331 (=> @t102 (= @t330 @t25)))) % 9.43/9.62 (assume @p164 (forall @t336 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t335) @t333))) % 9.43/9.62 (assume @p165 (forall @t275 (tptp.c_Relation_Oantisym @t23 @t273))) % 9.43/9.62 (assume @p166 (forall (@list @t332 @t44 @t33 @t23) (=> (or (tptp.c_member @t87 @t33 @t186) (tptp.c_member @t87 @t33 @t334)) (tptp.c_member @t87 @t33 @t333)))) % 9.43/9.62 (assume @p167 (forall @t239 (tptp.c_Relation_Oantisym @t23 @t228))) % 9.43/9.62 (assume @p168 (forall @t258 (= (tptp.c_Transitive__Closure_Ortrancl @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t44 @t273)) @t186))) % 9.43/9.62 (assume @p169 (forall @t258 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t281 @t186 @t273) @t186))) % 9.43/9.62 (assume @p170 (forall @t89 (= @t284 @t341))) % 9.43/9.62 (assume @p171 (forall @t345 (=> @t344 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t343 @t2 @t1) @t33) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t166 @t342))))) % 9.43/9.62 (assume @p172 (forall @t350 (=> @t349 (=> (forall @t6 (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t3) @t346) (forall @t161 (=> (tptp.c_member @t87 @t340 @t348) @t337)))) @t347)))) % 9.43/9.62 (assume @p173 (forall @t350 (=> @t349 (=> (forall @t6 (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t61) @t346) (forall @t161 (=> (tptp.c_member @t87 @t338 @t348) (= @t159 @t3))))) @t347)))) % 9.43/9.62 (assume @p174 (forall @t280 (= (tptp.c_Wellfounded_Owf @t23 @t279) (and @t351 @t277)))) % 9.43/9.62 (assume @p175 (forall @t89 (=> @t341 @t284))) % 9.43/9.62 (assume @p176 (forall @t89 (= @t352 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t259 @t260)))) % 9.43/9.62 (assume @p177 (forall (@list @t2 @t45 @t85 @t23) (=> @t351 (tptp.c_Wellfounded_Owf @t45 (tptp.c_Relation_Oinv__image @t23 @t45 @t85 @t2))))) % 9.43/9.62 (assume @p178 (forall (@list @t353 @t45 @t354 @t23) (=> (tptp.c_Wellfounded_Owf @t23 @t354) (=> (tptp.c_Wellfounded_Owf @t45 @t353) (tptp.c_Wellfounded_Owf @t47 (tptp.c_Wellfounded_Olex__prod @t23 @t45 @t354 @t353)))))) % 9.43/9.62 (assume @p179 (forall @t89 (=> @t351 (tptp.c_Wellfounded_Owf @t23 @t254)))) % 9.43/9.62 (assume @p180 (forall @t89 (=> @t351 @t271))) % 9.43/9.62 (assume @p181 (forall (@list @t62 @t85 @t23) (=> @t351 (not @t252)))) % 9.43/9.62 (assume @p182 (forall (@list @t33 @t62 @t85 @t23) (=> @t351 (=> (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t62 @t33) @t85) (not @t169))))) % 9.43/9.62 (assume @p183 (forall @t355 (=> @t351 @t158))) % 9.43/9.62 (assume @p184 (forall @t89 (= @t351 (forall @t6 @t149)))) % 9.43/9.62 (assume @p185 (forall @t357 (= (tptp.c_Relation_OField @t23 @t323) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t352 @t356)))) % 9.43/9.62 (assume @p186 (forall @t359 (=> @t358 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t101 @t101) @t101)))) % 9.43/9.62 (assume @p187 (forall @t361 (=> @t358 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t360) @t360)))) % 9.43/9.62 (assume @p188 (forall @t363 (=> @t358 (= @t362 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t99 @t101))))) % 9.43/9.62 (assume @p189 (forall @t368 (=> @t344 @t367))) % 9.43/9.62 (assume @p190 (forall @t368 (=> @t358 @t367))) % 9.43/9.62 (assume @p191 (forall @t363 (=> @t358 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t101 @t362) @t362)))) % 9.43/9.62 (assume @p192 (forall @t368 (=> @t344 @t369))) % 9.43/9.62 (assume @p193 (forall @t368 (=> @t358 @t369))) % 9.43/9.62 (assume @p194 (forall @t372 (=> @t358 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t99 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t101 @t370)) @t371)))) % 9.43/9.62 (assume @p195 (forall @t378 (=> @t344 @t377))) % 9.43/9.62 (assume @p196 (forall @t378 (=> @t358 @t377))) % 9.43/9.62 (assume @p197 (forall @t379 (=> @t358 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t362 @t370) @t371)))) % 9.43/9.62 (assume @p198 (forall @t378 (=> @t344 @t380))) % 9.43/9.62 (assume @p199 (forall @t378 (=> @t358 @t380))) % 9.43/9.62 (assume @p200 (forall (@list @t2 @t23) (tptp.c_Wellfounded_Owf @t23 (tptp.c_Wellfounded_Omeasure @t23 @t2)))) % 9.43/9.62 (assume @p201 (forall (@list @t62 @t381 @t85 @t45 @t23 @t2) (=> (= @t2 @t383) (=> @t351 (= @t382 (tptp.hAPP (tptp.hAPP @t381 @t167) @t62)))))) % 9.43/9.62 (assume @p202 (forall (@list @t62 @t381 @t45 @t85 @t23) (=> @t351 (= (tptp.hAPP @t383 @t62) (tptp.hAPP (tptp.hAPP @t381 (tptp.c_Recdef_Ocut @t23 @t45 @t383 @t85 @t62)) @t62))))) % 9.43/9.62 (assume @p203 (forall (@list @t45 @t23 @t384 @t171) (=> (tptp.c_Wellfounded_Owf @t23 @t171) (forall @t6 (= (tptp.hAPP @t385 @t3) (tptp.hAPP (tptp.hAPP @t384 (tptp.c_Recdef_Ocut @t23 @t45 @t385 @t171 @t3)) @t3)))))) % 9.43/9.62 (assume @p204 (forall @t227 (= (tptp.c_Relation_OField @t23 (tptp.c_Set_Oinsert @t87 @t152 @t85)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t388 @t352)))) % 9.43/9.62 (assume @p205 (forall @t275 (tptp.c_Wellfounded_Owf @t23 @t389))) % 9.43/9.62 (assume @p206 (forall @t274 (not (tptp.c_member @t23 @t62 @t386)))) % 9.43/9.62 (assume @p207 (forall @t275 (= (tptp.c_Relation_OField @t23 @t389) @t386))) % 9.43/9.62 (assume @p208 (forall @t391 (= (= @t241 @t386) (= @t85 @t390)))) % 9.43/9.62 (assume @p209 (forall (@list @t23 @t45) (= (tptp.c_Relation_ORange @t45 @t23 @t390) @t386))) % 9.43/9.62 (assume @p210 (forall @t275 (= (tptp.c_Relation_OId__on @t23 @t386) @t389))) % 9.43/9.62 (assume @p211 (forall @t202 (= (= @t193 @t386) (= @t85 @t392)))) % 9.43/9.62 (assume @p212 (forall (@list @t45 @t23) (= (tptp.c_Relation_ODomain @t23 @t45 @t392) @t386))) % 9.43/9.62 (assume @p213 (forall @t275 (tptp.c_Relation_Orefl__on @t23 @t386 @t389))) % 9.43/9.62 (assume @p214 (forall @t239 (= (forall @t6 @t394) @t393))) % 9.43/9.62 (assume @p215 (forall @t239 (= (exists @t6 @t242) (not @t393)))) % 9.43/9.62 (assume @p216 (forall (@list @t22 @t23) (not (tptp.c_member @t23 @t22 @t386)))) % 9.43/9.62 (assume @p217 (forall (@list @t62 @t23 @t25) (=> @t393 @t395))) % 9.43/9.62 (assume @p218 (forall @t331 (not (= @t386 @t330)))) % 9.43/9.62 (assume @p219 (forall @t331 (not (= @t330 @t386)))) % 9.43/9.62 (assume @p220 (forall (@list @t396 @t22 @t61 @t62 @t23) (= (= @t388 (tptp.c_Set_Oinsert @t23 @t22 (tptp.c_Set_Oinsert @t23 @t396 @t386))) (or (and @t113 (= @t61 @t396)) (and (= @t62 @t396) @t114))))) % 9.43/9.62 (assume @p221 (forall @t276 (=> (= @t397 @t387) @t80))) % 9.43/9.62 (assume @p222 (forall @t398 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t386 @t21) @t21))) % 9.43/9.62 (assume @p223 (forall @t239 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t386) @t25))) % 9.43/9.62 (assume @p224 (forall @t306 (= (= @t289 @t386) (and @t393 (= @t21 @t386))))) % 9.43/9.62 (assume @p225 (forall @t275 (= (tptp.c_Transitive__Closure_Otrancl @t23 @t389) @t389))) % 9.43/9.62 (assume @p226 (forall @t275 (tptp.c_Relation_Oantisym @t23 @t389))) % 9.43/9.62 (assume @p227 (forall @t89 (tptp.c_Relation_Ototal__on @t23 @t386 @t85))) % 9.43/9.62 (assume @p228 (forall @t361 (=> @t400 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t399 @t360) @t360)))) % 9.43/9.62 (assume @p229 (forall @t361 (=> @t400 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t399) @t360)))) % 9.43/9.62 (assume @p230 (forall @t173 (=> @t400 (= (= @t401 @t399) (and (= @t33 @t399) (= @t32 @t399)))))) % 9.43/9.62 (assume @p231 (forall @t404 (= @t403 @t402))) % 9.43/9.62 (assume @p232 (forall @t404 (=> @t403 @t402))) % 9.43/9.62 (assume @p233 (forall @t331 (= @t330 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t397 @t25)))) % 9.43/9.62 (assume @p234 (forall @t275 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t389) @t273))) % 9.43/9.62 (assume @p235 (forall (@list @t33 @t23) (= (tptp.c_Set_Othe__elem @t23 @t405) @t33))) % 9.43/9.62 (assume @p236 (forall (@list @t33 @t45 @t23) (=> @t406 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t343) @t33) @t399)))) % 9.43/9.62 (assume @p237 (forall (@list @t23 @t44 @t45 @t48) (=> (forall @t6 (=> @t315 (tptp.c_Wellfounded_Owf @t45 (tptp.hAPP @t44 @t3)))) (tptp.c_Wellfounded_Owf @t47 @t49)))) % 9.43/9.62 (assume @p238 (forall @t357 (=> @t351 (=> (tptp.c_Wellfounded_Owf @t23 @t127) (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t259 (tptp.c_Relation_ORange @t23 @t23 @t127)) @t386) (tptp.c_Wellfounded_Owf @t23 @t323)))))) % 9.43/9.62 (assume @p239 (forall @t89 (= @t351 (forall (@list @t407) (=> (exists @t6 @t408) (exists @t6 (and @t408 (forall @t161 (=> @t339 (not (tptp.c_member @t23 @t159 @t407))))))))))) % 9.43/9.62 (assume @p240 (forall @t291 (=> @t410 (not (=> @t109 @t292))))) % 9.43/9.62 (assume @p241 (forall (@list @t23 @t21 @t33 @t25) (=> @t109 (=> @t287 @t410)))) % 9.43/9.62 (assume @p242 (forall @t300 (=> @t411 (not @t29)))) % 9.43/9.62 (assume @p243 (forall @t300 (=> @t26 (=> @t24 @t411)))) % 9.43/9.62 (assume @p244 (forall @t361 (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t399 @t360) @t399)))) % 9.43/9.62 (assume @p245 (forall @t361 (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t399) @t399)))) % 9.43/9.62 (assume @p246 (forall @t398 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t386 @t21) @t386))) % 9.43/9.62 (assume @p247 (forall @t239 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t386) @t386))) % 9.43/9.62 (assume @p248 (forall @t306 (= (= @t409 @t386) (forall @t6 (=> @t242 (forall @t124 (=> @t412 @t245))))))) % 9.43/9.62 (assume @p249 (forall @t414 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t330 @t309) @t413))) % 9.43/9.62 (assume @p250 (forall @t314 (= @t416 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t409 @t415)))) % 9.43/9.62 (assume @p251 (forall @t314 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t25 @t417) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t289 @t311)))) % 9.43/9.62 (assume @p252 (forall @t420 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t312 @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t419 @t418)))) % 9.43/9.62 (assume @p253 (forall @t420 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t417 @t25) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t305 @t421)))) % 9.43/9.62 (assume @p254 (forall @t314 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t409 @t417) @t418) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t289 @t312) @t421)))) % 9.43/9.62 (assume @p255 (forall @t423 (=> @t351 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t281 @t85 @t422))))) % 9.43/9.62 (assume @p256 (forall @t423 (=> @t351 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t281 @t422 @t85))))) % 9.43/9.62 (assume @p257 (forall @t325 (=> @t250 (=> @t324 (tptp.c_Relation_Orefl__on @t23 @t409 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t281 @t85 @t127)))))) % 9.43/9.62 (assume @p258 (forall @t291 (=> @t410 @t287))) % 9.43/9.62 (assume @p259 (forall @t291 (=> @t410 @t109))) % 9.43/9.62 (assume @p260 (forall @t314 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t409 @t310) @t424))) % 9.43/9.62 (assume @p261 (forall @t314 (= @t424 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t21 @t415)))) % 9.43/9.62 (assume @p262 (forall @t306 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t409) @t409))) % 9.43/9.62 (assume @p263 (forall @t306 (= @t409 @t419))) % 9.43/9.62 (assume @p264 (forall @t239 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t25) @t25))) % 9.43/9.62 (assume @p265 (forall @t300 (= @t411 (and @t26 @t24)))) % 9.43/9.62 (assume @p266 (forall @t300 (=> @t411 @t26))) % 9.43/9.62 (assume @p267 (forall @t300 (=> @t411 @t24))) % 9.43/9.62 (assume @p268 (forall @t345 (=> @t344 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t343 @t2 @t1) @t33) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t166 @t342))))) % 9.43/9.62 (assume @p269 (forall @t378 (=> @t429 @t428))) % 9.43/9.62 (assume @p270 (forall @t378 (=> @t344 @t428))) % 9.43/9.62 (assume @p271 (forall @t379 (=> @t429 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t431 @t370) @t430)))) % 9.43/9.62 (assume @p272 (forall @t378 (=> @t429 @t433))) % 9.43/9.62 (assume @p273 (forall @t378 (=> @t344 @t433))) % 9.43/9.62 (assume @p274 (forall @t372 (=> @t429 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t99 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t101 @t370)) @t430)))) % 9.43/9.62 (assume @p275 (forall @t368 (=> @t429 @t434))) % 9.43/9.62 (assume @p276 (forall @t368 (=> @t344 @t434))) % 9.43/9.62 (assume @p277 (forall @t363 (=> @t429 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t101 @t431) @t431)))) % 9.43/9.62 (assume @p278 (forall @t368 (=> @t429 @t436))) % 9.43/9.62 (assume @p279 (forall @t368 (=> @t344 @t436))) % 9.43/9.62 (assume @p280 (forall @t363 (=> @t429 (= @t431 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t99 @t101))))) % 9.43/9.62 (assume @p281 (forall @t361 (=> @t429 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t360) @t360)))) % 9.43/9.62 (assume @p282 (forall @t359 (=> @t429 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t101 @t101) @t101)))) % 9.43/9.62 (assume @p283 (forall @t368 (=> @t344 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t360 @t366) @t360)))) % 9.43/9.62 (assume @p284 (forall @t368 (=> @t344 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t360 @t427) @t360)))) % 9.43/9.62 (assume @p285 (forall @t378 (=> @t439 (= @t438 @t437)))) % 9.43/9.62 (assume @p286 (forall @t378 (=> @t439 (= @t441 @t440)))) % 9.43/9.62 (assume @p287 (forall @t442 (=> @t439 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t375 @t360) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t435 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t373 @t360)))))) % 9.43/9.62 (assume @p288 (forall @t442 (=> @t439 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t425 @t360) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t365 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t373 @t360)))))) % 9.43/9.62 (assume @p289 (forall @t446 @t445)) % 9.43/9.62 (assume @p290 (forall @t414 @t448)) % 9.43/9.62 (assume @p291 (forall @t446 @t449)) % 9.43/9.62 (assume @p292 (forall @t414 @t450)) % 9.43/9.62 (assume @p293 (forall @t446 (and @t445 @t449))) % 9.43/9.62 (assume @p294 (forall @t414 (and @t448 @t450))) % 9.43/9.62 (assume @p295 (forall @t355 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t281 @t451 @t163) @t389) (not (tptp.c_member @t87 (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t33) @t254))))) % 9.43/9.62 (assume @p296 (forall (@list @t62 @t85 @t45 @t61 @t23) (= (tptp.c_member @t23 @t61 (tptp.c_Relation_OImage @t45 @t23 @t85 (tptp.c_Set_Oinsert @t45 @t62 @t453))) (tptp.c_member @t240 @t326 @t85)))) % 9.43/9.62 (assume @p297 (forall @t258 (=> @t454 (tptp.c_Wellfounded_OwfP @t23 (tptp.c_FunDef_Oin__rel @t23 @t23 @t44))))) % 9.43/9.62 (assume @p298 (forall @t285 (=> (tptp.c_Relation_Orefl__on @t23 @t352 @t85) (=> @t284 @t460)))) % 9.43/9.62 (assume @p299 (forall (@list @t44 @t23 @t45) (= (tptp.c_Relation_OImage @t45 @t23 @t44 @t453) @t386))) % 9.43/9.62 (assume @p300 (forall @t465 (=> (tptp.c_Relation_Osingle__valued @t23 @t45 (tptp.c_Relation_Oconverse @t45 @t23 @t44)) (= @t464 @t463)))) % 9.43/9.62 (assume @p301 (forall @t468 (= (tptp.c_Relation_Oconverse @t45 @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t304 @t85 @t127)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t321 @t467 @t466)))) % 9.43/9.62 (assume @p302 (forall @t89 (= @t470 @t469))) % 9.43/9.62 (assume @p303 (forall @t468 (= (tptp.c_Relation_Oconverse @t45 @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t304 @t85 @t127)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t321 @t467 @t466)))) % 9.43/9.62 (assume @p304 (forall @t239 (= (tptp.c_Relation_OImage @t23 @t23 @t273 @t25) @t25))) % 9.43/9.62 (assume @p305 (forall @t89 (= (tptp.c_Relation_OField @t23 @t451) @t352))) % 9.43/9.62 (assume @p306 (forall @t275 (= (tptp.c_Relation_Oconverse @t23 @t23 @t273) @t273))) % 9.43/9.62 (assume @p307 (forall @t247 (= (tptp.c_Relation_Orefl__on @t23 @t25 @t451) @t250))) % 9.43/9.62 (assume @p308 (forall @t89 (= (tptp.c_Relation_Oantisym @t23 @t451) @t284))) % 9.43/9.62 (assume @p309 (forall @t89 (= (tptp.c_Wellfounded_Oacyclic @t23 @t451) @t271))) % 9.43/9.62 (assume @p310 (forall @t239 (= (tptp.c_Relation_Oconverse @t23 @t23 @t228) @t228))) % 9.43/9.62 (assume @p311 (forall @t391 (= (tptp.c_Relation_Oconverse @t45 @t23 @t471) @t85))) % 9.43/9.62 (assume @p312 (forall @t89 (= @t472 (tptp.c_Relation_Oconverse @t23 @t23 @t163)))) % 9.43/9.62 (assume @p313 (forall (@list @t21 @t25 @t44 @t23 @t45) (= (tptp.c_Relation_OImage @t45 @t23 @t44 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t452 @t25 @t21)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t462 @t461)))) % 9.43/9.62 (assume @p314 (forall (@list @t2 @t44 @t45 @t23) (= (tptp.c_Relation_Oconverse @t23 @t23 (tptp.c_Relation_Oinv__image @t45 @t23 @t44 @t2)) (tptp.c_Relation_Oinv__image @t45 @t23 (tptp.c_Relation_Oconverse @t45 @t45 @t44) @t2)))) % 9.43/9.62 (assume @p315 (forall @t247 (= (tptp.c_Relation_Ototal__on @t23 @t25 @t451) @t246))) % 9.43/9.62 (assume @p316 (forall @t196 (= @t475 @t474))) % 9.43/9.62 (assume @p317 (forall @t196 (=> @t195 (tptp.c_member @t240 @t473 @t471)))) % 9.43/9.62 (assume @p318 (forall @t196 (=> @t475 @t474))) % 9.43/9.62 (assume @p319 (forall (@list @t25 @t332 @t44 @t23 @t45) (= (tptp.c_Relation_OImage @t45 @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t304 @t44 @t332) @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t462 (tptp.c_Relation_OImage @t45 @t23 @t332 @t25))))) % 9.43/9.62 (assume @p320 (forall @t89 (=> (tptp.c_Wellfounded_Owf @t23 @t451) (tptp.c_Wellfounded_Owf @t23 @t469)))) % 9.43/9.62 (assume @p321 (forall @t306 (= (tptp.c_Relation_OImage @t23 @t23 @t228 @t21) @t409))) % 9.43/9.62 (assume @p322 (forall @t391 (= @t241 @t476))) % 9.43/9.62 (assume @p323 (forall @t202 (= @t476 @t241))) % 9.43/9.62 (assume @p324 (forall @t391 (= (tptp.c_Relation_ORange @t45 @t23 @t471) @t193))) % 9.43/9.62 (assume @p325 (forall (@list @t31) (= (tptp.c_member @t17 (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t31) tptp.c_Arrow__Order__Mirabelle_OLin) @t139))) % 9.43/9.62 (assume @p326 (forall @t479 (= @t478 (exists @t6 (and @t477 @t243))))) % 9.43/9.62 (assume @p327 (forall (@list @t85 @t61 @t45 @t25 @t62 @t23) (=> @t102 (=> @t195 (tptp.c_member @t45 @t61 @t480))))) % 9.43/9.62 (assume @p328 (forall @t280 (=> @t482 @t481))) % 9.43/9.62 (assume @p329 (forall @t483 (=> @t481 @t482))) % 9.43/9.62 (assume @p330 (forall @t483 (=> @t485 @t484))) % 9.43/9.62 (assume @p331 (forall @t483 (=> @t484 @t485))) % 9.43/9.62 (assume @p332 (forall @t285 (=> (tptp.c_Order__Relation_Opartial__order__on @t23 @t352 @t85) @t460))) % 9.43/9.62 (assume @p333 (forall @t479 (=> @t478 (not (forall @t6 (=> @t243 (not @t477))))))) % 9.43/9.62 (assume @p334 (forall @t275 (tptp.c_Order__Relation_Owell__order__on @t23 @t386 @t389))) % 9.43/9.62 (assume @p335 (forall @t247 (= (tptp.c_Order__Relation_Opartial__order__on @t23 @t25 @t451) @t486))) % 9.43/9.62 (assume @p336 (forall @t275 (tptp.c_Order__Relation_Opartial__order__on @t23 @t386 @t389))) % 9.43/9.62 (assume @p337 (forall @t247 (= @t487 (and @t486 @t246)))) % 9.43/9.62 (assume @p338 (forall @t247 (= @t486 (and @t488 @t284)))) % 9.43/9.62 (assume @p339 (forall (@list @t61 @t62 @t33 @t85 @t25 @t23) (=> @t489 (=> (tptp.c_member @t23 @t33 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t456 @t455)) @t153)))) % 9.43/9.62 (assume @p340 (forall @t247 (= (tptp.c_Order__Relation_Opreorder__on @t23 @t25 @t451) @t488))) % 9.43/9.62 (assume @p341 (forall @t247 (= (tptp.c_Order__Relation_Olinear__order__on @t23 @t25 @t451) @t487))) % 9.43/9.62 (assume @p342 (forall @t253 (=> @t489 (=> @t102 (tptp.c_member @t23 @t62 @t456))))) % 9.43/9.62 (assume @p343 (forall @t490 (=> @t489 (=> @t153 @t457)))) % 9.43/9.62 (assume @p344 (forall @t275 (tptp.c_Order__Relation_Opreorder__on @t23 @t386 @t389))) % 9.43/9.62 (assume @p345 (forall @t251 (=> @t489 (= @t249 (and @t493 @t106 @t105))))) % 9.43/9.62 (assume @p346 (forall @t251 (=> @t489 (=> @t106 (=> @t105 (= @t493 @t249)))))) % 9.43/9.62 (assume @p347 (forall (@list @t25 @t61 @t62 @t85 @t23) (=> @t457 (=> @t489 @t494)))) % 9.43/9.62 (assume @p348 (forall @t275 (tptp.c_Order__Relation_Olinear__order__on @t23 @t386 @t389))) % 9.43/9.62 (assume @p349 (forall @t285 (=> @t496 (=> @t459 (=> @t458 (= @t495 @t283)))))) % 9.43/9.62 (assume @p350 (forall @t251 (=> @t489 (=> @t106 (=> @t105 (= (= @t497 (tptp.c_Equiv__Relations_Oquotient @t23 @t491 @t85)) @t249)))))) % 9.43/9.62 (assume @p351 (forall (@list @t62 @t61 @t85 @t25 @t23) (=> @t489 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t455 @t456) @t494)))) % 9.43/9.62 (assume @p352 (forall @t361 (=> @t498 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t360)))) % 9.43/9.62 (assume @p353 (forall @t306 (=> @t500 (=> @t499 @t30)))) % 9.43/9.62 (assume @p354 (forall (@list @t22 @t21 @t25 @t23) (=> @t500 @t501))) % 9.43/9.62 (assume @p355 (forall @t239 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t386 @t25))) % 9.43/9.62 (assume @p356 (forall @t247 (= (= @t503 @t502) @t393))) % 9.43/9.62 (assume @p357 (forall @t247 (= (= @t502 @t503) @t393))) % 9.43/9.62 (assume @p358 (forall @t89 (= (tptp.c_Equiv__Relations_Oquotient @t23 @t386 @t85) @t502))) % 9.43/9.62 (assume @p359 (forall @t329 (= (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t307 @t21) (and @t107 @t500)))) % 9.43/9.62 (assume @p360 (forall @t329 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t327) @t500)))) % 9.43/9.62 (assume @p361 (forall @t507 (=> @t506 (=> @t505 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t409 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t310 @t504)))))) % 9.43/9.62 (assume @p362 (forall @t509 (=> @t508 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t310 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t310 @t409))))) % 9.43/9.62 (assume @p363 (forall @t510 (=> @t499 (= @t409 @t21)))) % 9.43/9.62 (assume @p364 (forall @t306 (=> @t500 (= @t409 @t25)))) % 9.43/9.62 (assume @p365 (forall @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t409 @t21))) % 9.43/9.62 (assume @p366 (forall @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t409 @t25))) % 9.43/9.62 (assume @p367 (forall @t514 (=> @t429 (=> @t513 (not (=> @t512 (not @t511))))))) % 9.43/9.62 (assume @p368 (forall @t518 (=> @t429 (=> @t517 (=> @t516 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t431 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t515))))))) % 9.43/9.62 (assume @p369 (forall @t378 (=> @t429 (=> @t520 (=> @t519 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t360 @t425)))))) % 9.43/9.62 (assume @p370 (forall @t514 (=> @t429 (=> @t512 (=> @t511 @t513))))) % 9.43/9.62 (assume @p371 (forall @t522 (=> @t429 (=> @t521 (= @t427 @t364))))) % 9.43/9.62 (assume @p372 (forall @t368 (=> @t429 (=> @t520 (= @t427 @t360))))) % 9.43/9.62 (assume @p373 (forall (@list @t101 @t360 @t99 @t23) (=> @t429 (=> @t524 @t523)))) % 9.43/9.62 (assume @p374 (forall @t526 (=> @t429 (=> @t525 @t523)))) % 9.43/9.62 (assume @p375 (forall @t529 (=> @t429 (= (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t33 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t32 @t36)) (and @t528 @t527))))) % 9.43/9.62 (assume @p376 (forall @t173 (=> @t429 (= @t528 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t33 @t32) @t33))))) % 9.43/9.62 (assume @p377 (forall @t368 (=> @t429 @t530))) % 9.43/9.62 (assume @p378 (forall @t368 (=> @t344 @t530))) % 9.43/9.62 (assume @p379 (forall @t368 (=> @t429 @t531))) % 9.43/9.62 (assume @p380 (forall @t368 (=> @t344 @t531))) % 9.43/9.62 (assume @p381 (forall (@list @t25 @t532 @t85 @t422 @t45 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t321 @t422 @t85) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t532 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t452 (tptp.c_Relation_OImage @t23 @t45 @t422 @t532) @t480))))) % 9.43/9.62 (assume @p382 (forall (@list @t85 @t127 @t23) (=> (tptp.c_Wellfounded_Oacyclic @t23 @t127) (=> @t533 @t271)))) % 9.43/9.62 (assume @p383 (forall @t535 (=> @t534 (=> (tptp.c_Relation_Osingle__valued @t23 @t45 @t127) @t199)))) % 9.43/9.62 (assume @p384 (forall @t291 (=> @t500 (=> @t106 @t107)))) % 9.43/9.62 (assume @p385 (forall @t329 (=> @t106 (=> @t500 @t107)))) % 9.43/9.62 (assume @p386 (forall @t368 (=> @t344 @t536))) % 9.43/9.62 (assume @p387 (forall @t368 (=> @t358 @t536))) % 9.43/9.62 (assume @p388 (forall @t522 (=> @t344 @t537))) % 9.43/9.62 (assume @p389 (forall @t522 (=> @t358 @t537))) % 9.43/9.62 (assume @p390 (forall @t173 (=> @t358 (= @t528 (= @t401 @t32))))) % 9.43/9.62 (assume @p391 (forall @t529 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t401 @t36) (and @t527 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t32 @t36)))))) % 9.43/9.62 (assume @p392 (forall @t514 (=> @t358 (=> @t512 @t538)))) % 9.43/9.62 (assume @p393 (forall (@list @t101 @t99 @t360 @t23) (=> @t358 (=> @t511 @t538)))) % 9.43/9.62 (assume @p394 (forall @t368 (=> @t358 (=> @t520 (= @t366 @t364))))) % 9.43/9.62 (assume @p395 (forall @t522 (=> @t358 (=> @t521 (= @t366 @t360))))) % 9.43/9.62 (assume @p396 (forall @t526 (=> @t358 (=> @t525 (=> @t524 @t539))))) % 9.43/9.62 (assume @p397 (forall @t541 (=> @t358 (=> @t521 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t375 @t360)))))) % 9.43/9.62 (assume @p398 (forall @t518 (=> @t358 (=> @t517 (=> @t516 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t362 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t515))))))) % 9.43/9.62 (assume @p399 (forall (@list @t360 @t99 @t101 @t23) (=> @t358 (=> @t539 (not (=> @t525 (not @t524))))))) % 9.43/9.62 (assume @p400 (forall (@list @t62 @t21 @t23) (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t21 @t309))) % 9.43/9.62 (assume @p401 (forall (@list @t61 @t21 @t25 @t23) (=> @t500 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t295)))) % 9.43/9.62 (assume @p402 (forall (@list @t62 @t504 @t310 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t310 @t504) (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Set_Oinsert @t23 @t62 @t310) (tptp.c_Set_Oinsert @t23 @t62 @t504))))) % 9.43/9.62 (assume @p403 (forall @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t289))) % 9.43/9.62 (assume @p404 (forall @t510 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t21 @t289))) % 9.43/9.62 (assume @p405 (forall @t306 (= @t500 @t542))) % 9.43/9.62 (assume @p406 (forall @t306 (=> @t500 @t542))) % 9.43/9.62 (assume @p407 (forall @t510 (=> @t499 (= @t289 @t25)))) % 9.43/9.62 (assume @p408 (forall (@list @t21 @t310 @t25 @t23) (=> @t506 (=> @t543 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t289 @t310))))) % 9.43/9.62 (assume @p409 (forall @t507 (=> @t506 (=> @t505 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t289 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t310 @t504)))))) % 9.43/9.62 (assume @p410 (forall @t357 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t85 @t544) @t545))) % 9.43/9.62 (assume @p411 (forall @t336 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t44 @t332) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t332 @t186) (= @t334 @t186))))) % 9.43/9.62 (assume @p412 (forall @t357 (=> @t533 @t545))) % 9.43/9.62 (assume @p413 (forall @t535 (=> @t534 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t193 (tptp.c_Relation_ODomain @t23 @t45 @t127))))) % 9.43/9.62 (assume @p414 (forall (@list @t33 @t348 @t48 @t23) (=> @t548 (=> @t54 @t547)))) % 9.43/9.62 (assume @p415 (forall (@list @t348 @t23 @t33 @t48) (=> @t54 (=> @t548 @t547)))) % 9.43/9.62 (assume @p416 (forall @t549 (=> @t30 (not (=> @t500 (not @t499)))))) % 9.43/9.62 (assume @p417 (forall @t314 (=> @t500 (=> @t543 @t506)))) % 9.43/9.62 (assume @p418 (forall @t549 (=> @t30 @t499))) % 9.43/9.62 (assume @p419 (forall @t549 (=> @t30 @t500))) % 9.43/9.62 (assume @p420 (forall @t549 (= @t30 (and @t500 @t499)))) % 9.43/9.62 (assume @p421 (forall @t239 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t25))) % 9.43/9.62 (assume @p422 (forall (@list @t551 @t550 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t550 @t551) (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Wellfounded_Oacc @t23 @t551) (tptp.c_Wellfounded_Oacc @t23 @t550))))) % 9.43/9.62 (assume @p423 (forall @t357 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t352 @t356)))) % 9.43/9.62 (assume @p424 (forall @t357 (=> @t533 (=> (tptp.c_Relation_Oantisym @t23 @t127) @t284)))) % 9.43/9.62 (assume @p425 (forall @t552 (=> @t351 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t175 @t85) (tptp.c_Wellfounded_Owf @t23 @t175))))) % 9.43/9.62 (assume @p426 (forall @t368 (=> @t553 (=> (not @t520) @t521)))) % 9.43/9.62 (assume @p427 (forall (@list @t33 @t1 @t2 @t23 @t45) (=> @t555 (=> @t554 (tptp.c_Orderings_Oord__class_Oless__eq @t45 @t166 @t342))))) % 9.43/9.62 (assume @p428 (forall @t541 (=> @t556 (=> @t521 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t373 @t364) @t540))))) % 9.43/9.62 (assume @p429 (forall @t522 (=> @t556 (=> @t521 (=> @t520 @t557))))) % 9.43/9.62 (assume @p430 (forall @t378 (=> @t498 (=> @t520 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t364 @t373) @t519))))) % 9.43/9.62 (assume @p431 (forall @t368 (=> @t556 (=> @t520 (=> @t521 @t557))))) % 9.43/9.62 (assume @p432 (forall @t372 (=> @t556 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t99 @t101) (=> @t559 @t558))))) % 9.43/9.62 (assume @p433 (forall @t379 (=> @t560 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t101 @t99) (=> @t559 @t517))))) % 9.43/9.62 (assume @p434 (forall @t379 (=> @t556 (=> @t561 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t99) @t558))))) % 9.43/9.62 (assume @p435 (forall @t379 (=> @t560 (=> @t561 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t99 @t370) @t517))))) % 9.43/9.62 (assume @p436 (forall (@list @t33 @t32 @t23) (=> @t556 (=> @t562 (= @t528 @t39))))) % 9.43/9.62 (assume @p437 (forall @t368 (=> @t498 (=> @t557 @t520)))) % 9.43/9.62 (assume @p438 (forall @t173 (=> @t556 (= @t39 (and @t528 @t562))))) % 9.43/9.62 (assume @p439 (forall @t368 (=> @t553 (or @t520 @t521)))) % 9.43/9.62 (assume @p440 (forall (@list @t1 @t2 @t23 @t45) (=> @t555 (= @t554 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t45 @t5 @t4)))))) % 9.43/9.62 (assume @p441 (forall @t361 (=> @t406 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t399 @t360)))) % 9.43/9.62 (assume @p442 (forall (@list @t21 @t23 @t25) (=> (= @t25 @t389) (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t25 @t21)))) % 9.43/9.62 (assume @p443 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t386) @t393))) % 9.43/9.62 (assume @p444 (forall @t378 (=> @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t441 @t440)))) % 9.43/9.62 (assume @p445 (forall @t378 (=> @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t437 @t438)))) % 9.43/9.62 (assume @p446 (forall (@list @t33 @t25 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t405) (or @t393 (= @t25 @t405))))) % 9.43/9.62 (assume @p447 (forall @t314 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t409 @t310) @t416) @t508))) % 9.43/9.62 (assume @p448 (forall (@list @t127 @t85 @t175 @t23) (=> @t256 (=> @t533 (tptp.c_member @t87 @t175 (tptp.c_Transitive__Closure_Otrancl @t23 @t127)))))) % 9.43/9.62 (assume @p449 (forall @t465 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t464 @t463))) % 9.43/9.62 (assume @p450 (forall (@list @t563 @t85 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Relation_OImage @t23 @t23 @t85 @t563) @t563) (= (tptp.c_Relation_OImage @t23 @t23 @t163 @t563) @t563)))) % 9.43/9.62 (assume @p451 (forall @t336 (tptp.c_Orderings_Oord__class_Oless__eq @t281 @t335 @t333))) % 9.43/9.62 (assume @p452 (forall (@list @t25 @t44 @t23) (=> @t454 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 (tptp.c_Relation_OImage @t23 @t23 @t44 @t25)) @t393)))) % 9.43/9.62 (assume @p453 (forall @t322 (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Relation_ODomain @t23 @t45 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t321 @t25 @t21)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t320 @t319)))) % 9.43/9.62 (assume @p454 (forall @t322 (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Relation_ORange @t45 @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t304 @t25 @t21)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t303 @t302)))) % 9.43/9.62 (assume @p455 (forall @t162 (= @t497 (tptp.c_Set_Oinsert @t288 @t492 @t502)))) % 9.43/9.62 (assume @p456 (forall (@list @t564 @t563 @t85 @t25 @t23) (=> @t489 (=> @t567 (=> @t566 (or @t565 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t563 @t564) @t386))))))) % 9.43/9.62 (assume @p457 (forall (@list @t85 @t25 @t33 @t23) (=> @t106 (tptp.c_member @t288 @t492 @t503)))) % 9.43/9.62 (assume @p458 (forall @t490 (=> @t489 (=> @t153 @t495)))) % 9.43/9.62 (assume @p459 (forall @t570 (=> @t489 (=> @t567 (=> @t566 (=> @t569 (=> @t568 (= @t565 @t249)))))))) % 9.43/9.62 (assume @p460 (forall @t570 (=> @t489 (=> @t567 (=> @t566 (=> @t569 (=> @t568 (=> @t249 @t565)))))))) % 9.43/9.62 (assume @p461 (forall (@list @t21 @t25 @t85 @t23) (=> @t496 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t352) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t21 @t352) (= (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Relation_OImage @t23 @t23 @t85 @t25) (tptp.c_Relation_OImage @t23 @t23 @t85 @t21)) (forall @t6 (=> @t242 (exists @t124 (and @t412 @t244)))))))))) % 9.43/9.62 (assume @p462 (forall (@list @t85 @t25 @t563 @t23) (=> @t567 (not (forall @t6 (=> (= @t563 (tptp.c_Relation_OImage @t23 @t23 @t85 (tptp.c_Set_Oinsert @t23 @t3 @t386))) @t394)))))) % 9.43/9.62 (assume @p463 (forall @t552 (=> (tptp.c_Wellfounded_OwfP @t23 @t85) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t23 @t288) @t175 @t85) (tptp.c_Wellfounded_OwfP @t23 @t175))))) % 9.43/9.62 (assume @p464 (forall (@list @t36 @t32 @t2 @t85 @t45 @t23) (=> (tptp.c_Equiv__Relations_Ocongruent @t23 @t45 @t85 @t2) (=> (tptp.c_member @t87 @t189 @t85) (= @t248 (tptp.hAPP @t2 @t36)))))) % 9.43/9.62 (assume @p465 (forall (@list @t44 @t23 @t32 @t33 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t166 @t248) (=> (tptp.c_member @t87 @t187 @t44) (tptp.c_member @t87 @t187 @t571))))) % 9.43/9.62 (assume @p466 (forall (@list @t348 @t45 @t23 @t32 @t33 @t48) (=> @t574 (=> @t573 @t572)))) % 9.43/9.62 (assume @p467 (forall (@list @t32 @t33 @t348 @t48 @t45 @t23) (=> @t573 (=> @t574 @t572)))) % 9.43/9.62 (assume @p468 (forall (@list @t2 @t44 @t23) (=> @t454 (tptp.c_Wellfounded_Owf @t23 @t571)))) % 9.43/9.62 (assume @p469 (forall (@list @t62 @t2 @t575 @t116 @t45 @t576 @t25 @t23) (=> (tptp.c_Equiv__Relations_Oequiv @t23 @t25 @t576) (=> (tptp.c_Equiv__Relations_Ocongruent2 @t23 @t45 @t116 @t576 @t575 @t2) (=> @t102 (tptp.c_Equiv__Relations_Ocongruent @t45 @t116 @t575 @t382)))))) % 9.43/9.62 (assume @p470 (forall @t247 (= (tptp.c_Order__Relation_Owell__order__on @t23 @t25 @t85) (and @t487 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Groups_Ominus__class_Ominus @t281 @t85 @t273)))))) % 9.43/9.62 (assume @p471 (forall @t300 (=> @t26 (=> @t28 @t578)))) % 9.43/9.62 (assume @p472 (forall @t300 (=> @t578 (not @t501)))) % 9.43/9.62 (assume @p473 (forall @t322 (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Groups_Ominus__class_Ominus @t288 @t320 @t319) (tptp.c_Relation_ODomain @t23 @t45 (tptp.c_Groups_Ominus__class_Ominus @t321 @t25 @t21))))) % 9.43/9.62 (assume @p474 (forall @t314 (=> @t500 (=> @t543 (= (tptp.c_Groups_Ominus__class_Ominus @t288 @t21 (tptp.c_Groups_Ominus__class_Ominus @t288 @t310 @t25)) @t25))))) % 9.43/9.62 (assume @p475 (forall (@list @t21 @t504 @t310 @t25 @t23) (=> @t506 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t504 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t577 (tptp.c_Groups_Ominus__class_Ominus @t288 @t310 @t504)))))) % 9.43/9.62 (assume @p476 (forall @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t577 @t25))) % 9.43/9.62 (assume @p477 (forall @t322 (tptp.c_Orderings_Oord__class_Oless__eq @t288 (tptp.c_Groups_Ominus__class_Ominus @t288 @t303 @t302) (tptp.c_Relation_ORange @t45 @t23 (tptp.c_Groups_Ominus__class_Ominus @t304 @t25 @t21))))) % 9.43/9.62 (assume @p478 (forall @t306 (=> @t500 (= @t580 @t21)))) % 9.43/9.62 (assume @p479 (forall @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t577 @t310) (tptp.c_Orderings_Oord__class_Oless__eq @t288 @t25 @t312)))) % 9.43/9.62 (assume @p480 (forall @t306 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t577 @t409) @t25))) % 9.43/9.62 (assume @p481 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus @t288 @t25 @t312) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t577 @t581)))) % 9.43/9.62 (assume @p482 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus @t288 @t25 @t417) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t577 @t581)))) % 9.43/9.62 (assume @p483 (forall (@list @t33 @t21 @t25 @t45 @t23) (=> (tptp.class_Groups_Ominus @t23) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t343 @t25 @t21) @t33) (tptp.c_Groups_Ominus__class_Ominus @t23 @t108 @t286))))) % 9.43/9.62 (assume @p484 (forall @t306 (= (tptp.c_Groups_Ominus__class_Ominus @t288 @t577 @t21) @t577))) % 9.43/9.62 (assume @p485 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus @t288 @t289 @t310) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t581 @t582)))) % 9.43/9.62 (assume @p486 (forall @t510 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t288 @t579 @t25) @t305))) % 9.43/9.62 (assume @p487 (forall @t306 (= @t580 @t289))) % 9.43/9.62 (assume @p488 (forall @t509 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t310 @t577) (tptp.c_Groups_Ominus__class_Ominus @t288 @t418 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t310 @t21))))) % 9.43/9.62 (assume @p489 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus @t288 @t409 @t310) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t288 @t25 @t582)))) % 9.43/9.62 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p491 (forall @t587 (=> @t586 (tptp.class_Lattices_Obounded__lattice @t585)))) % 9.43/9.62 (assume @p492 (forall @t587 (=> @t586 (tptp.class_Lattices_Obounded__lattice__bot @t585)))) % 9.43/9.62 (assume @p493 (forall @t587 (=> @t588 (tptp.class_Lattices_Osemilattice__sup @t585)))) % 9.43/9.62 (assume @p494 (forall @t587 (=> @t588 (tptp.class_Lattices_Osemilattice__inf @t585)))) % 9.43/9.62 (assume @p495 (forall @t587 (=> (tptp.class_Lattices_Odistrib__lattice @t583) (tptp.class_Lattices_Odistrib__lattice @t585)))) % 9.43/9.62 (assume @p496 (forall @t587 (=> (tptp.class_Orderings_Opreorder @t583) (tptp.class_Orderings_Opreorder @t585)))) % 9.43/9.62 (assume @p497 (forall @t587 (=> @t588 (tptp.class_Lattices_Olattice @t585)))) % 9.43/9.62 (assume @p498 (forall @t587 (=> (tptp.class_Orderings_Oorder @t583) (tptp.class_Orderings_Oorder @t585)))) % 9.43/9.62 (assume @p499 (forall @t587 (=> (tptp.class_Orderings_Oord @t583) (tptp.class_Orderings_Oord @t585)))) % 9.43/9.62 (assume @p500 (forall @t587 (=> (tptp.class_Orderings_Obot @t583) (tptp.class_Orderings_Obot @t585)))) % 9.43/9.62 (assume @p501 (forall @t587 (=> (tptp.class_Groups_Ominus @t583) (tptp.class_Groups_Ominus @t585)))) % 9.43/9.62 (assume @p502 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p503 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p504 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p505 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p506 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p507 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p508 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p509 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p510 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p511 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 9.43/9.62 (assume @p512 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p513 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p514 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p515 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p516 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p517 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p518 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p519 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p520 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p521 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 9.43/9.62 (assume @p522 (forall @t590 (or (not @t589) @t39))) % 9.43/9.62 (assume @p523 (forall @t590 (or @t40 @t589))) % 9.43/9.62 (assume @p524 @t594) % 9.43/9.62 (assume @p525 true) % 9.43/9.62 (step @p526 :rule aci_norm :args ((= (or @t402 @t602) @t601))) % 9.43/9.62 (step @p527 :rule aci_norm :args ((= (or @t600 @t603) @t602))) % 9.43/9.62 (step @p528 :rule aci_norm :args ((= (or @t599 @t604) @t603))) % 9.43/9.62 (step @p529 :rule aci_norm :args ((= (or @t598 @t605) @t604))) % 9.43/9.62 (step @p530 :rule aci_norm :args ((= (or @t597 @t606) @t605))) % 9.43/9.62 (step @p531 :rule aci_norm :args ((= (or @t596 (or @t595 @t65)) @t606))) % 9.43/9.62 (step @p532 :rule bool-impl-elim :args (@t68 @t65)) % 9.43/9.62 (step @p533 :rule refl :args (@t596)) % 9.43/9.62 (step @p534 :rule nary_cong :premises (@p533 @p532) :args ((or @t596 @t69))) % 9.43/9.62 (step @p535 :rule trans :premises (@p534 @p531)) % 9.43/9.62 (step @p536 :rule bool-impl-elim :args (@t70 @t69)) % 9.43/9.62 (step @p537 :rule trans :premises (@p536 @p535)) % 9.43/9.62 (step @p538 :rule refl :args (@t597)) % 9.43/9.62 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or @t597 @t71))) % 9.43/9.62 (step @p540 :rule trans :premises (@p539 @p530)) % 9.43/9.62 (step @p541 :rule bool-impl-elim :args (@t72 @t71)) % 9.43/9.62 (step @p542 :rule trans :premises (@p541 @p540)) % 9.43/9.62 (step @p543 :rule refl :args (@t598)) % 9.43/9.62 (step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or @t598 @t73))) % 9.43/9.62 (step @p545 :rule trans :premises (@p544 @p529)) % 9.43/9.62 (step @p546 :rule refl :args (@t73)) % 9.43/9.62 (step @p547 :rule bool-double-not-elim :args (@t598)) % 9.43/9.62 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or (not @t607) @t73))) % 9.43/9.62 (step @p549 :rule bool-impl-elim :args (@t607 @t73)) % 9.43/9.62 (step @p550 :rule trans :premises (@p549 @p548)) % 9.43/9.62 (step @p551 :rule trans :premises (@p550 @p545)) % 9.43/9.62 (step @p552 :rule refl :args (@t599)) % 9.43/9.62 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or @t599 @t608))) % 9.43/9.62 (step @p554 :rule trans :premises (@p553 @p528)) % 9.43/9.62 (step @p555 :rule refl :args (@t608)) % 9.43/9.62 (step @p556 :rule bool-double-not-elim :args (@t599)) % 9.43/9.62 (step @p557 :rule nary_cong :premises (@p556 @p555) :args ((or (not @t609) @t608))) % 9.43/9.62 (step @p558 :rule bool-impl-elim :args (@t609 @t608)) % 9.43/9.62 (step @p559 :rule trans :premises (@p558 @p557)) % 9.43/9.62 (step @p560 :rule trans :premises (@p559 @p554)) % 9.43/9.62 (step @p561 :rule refl :args (@t600)) % 9.43/9.62 (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or @t600 @t610))) % 9.43/9.62 (step @p563 :rule trans :premises (@p562 @p527)) % 9.43/9.62 (step @p564 :rule refl :args (@t610)) % 9.43/9.62 (step @p565 :rule bool-double-not-elim :args (@t600)) % 9.43/9.62 (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or (not @t611) @t610))) % 9.43/9.62 (step @p567 :rule bool-impl-elim :args (@t611 @t610)) % 9.43/9.62 (step @p568 :rule trans :premises (@p567 @p566)) % 9.43/9.62 (step @p569 :rule trans :premises (@p568 @p563)) % 9.43/9.62 (step @p570 :rule refl :args (@t402)) % 9.43/9.62 (step @p571 :rule nary_cong :premises (@p570 @p569) :args ((or @t402 @t612))) % 9.43/9.62 (step @p572 :rule trans :premises (@p571 @p526)) % 9.43/9.62 (step @p573 :rule refl :args (@t612)) % 9.43/9.62 (step @p574 :rule bool-double-not-elim :args (@t402)) % 9.43/9.62 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or (not @t613) @t612))) % 9.43/9.62 (step @p576 :rule bool-impl-elim :args (@t613 @t612)) % 9.43/9.62 (step @p577 :rule trans :premises (@p576 @p575)) % 9.43/9.62 (step @p578 :rule trans :premises (@p577 @p572)) % 9.43/9.62 (step @p579 :rule cong :premises (@p578) :args ((forall @t83 (=> @t613 @t612)))) % 9.43/9.62 (step @p580 :rule refl :args (@t73)) % 9.43/9.62 (step @p581 :rule eq-symm :args (@t61 @t58)) % 9.43/9.62 (step @p582 :rule cong :premises (@p581) :args (@t74)) % 9.43/9.62 (step @p583 :rule cong :premises (@p582 @p580) :args (@t75)) % 9.43/9.62 (step @p584 :rule eq-symm :args (@t62 @t57)) % 9.43/9.62 (step @p585 :rule cong :premises (@p584) :args (@t76)) % 9.43/9.62 (step @p586 :rule cong :premises (@p585 @p583) :args (@t77)) % 9.43/9.62 (step @p587 :rule eq-symm :args (@t58 @t57)) % 9.43/9.62 (step @p588 :rule cong :premises (@p587) :args (@t78)) % 9.43/9.62 (step @p589 :rule cong :premises (@p588 @p586) :args (@t79)) % 9.43/9.62 (step @p590 :rule eq-symm :args (@t62 @t61)) % 9.43/9.62 (step @p591 :rule cong :premises (@p590) :args (@t81)) % 9.43/9.62 (step @p592 :rule cong :premises (@p591 @p589) :args (@t82)) % 9.43/9.62 (step @p593 :rule cong :premises (@p592) :args (@t84)) % 9.43/9.62 (step @p594 :rule trans :premises (@p593 @p579)) % 9.43/9.62 (step @p595 :rule eq_resolve :premises (@p15 @p594)) % 9.43/9.62 (step @p596 :rule eq-symm :args (@t591 @t592)) % 9.43/9.62 (step @p597 :rule eq-symm :args (@t12 @t14)) % 9.43/9.62 (step @p598 :rule cong :premises (@p597) :args (@t614)) % 9.43/9.62 (step @p599 :rule cong :premises (@p598) :args (@t615)) % 9.43/9.65 (step @p600 :rule refl :args (@t616)) % 9.43/9.65 (step @p601 :rule refl :args (@t617)) % 9.43/9.65 (step @p602 :rule refl :args (@t8)) % 9.43/9.65 (step @p603 :rule refl :args (@t7)) % 9.43/9.65 (step @p604 :rule refl :args (@t618)) % 9.43/9.65 (step @p605 :rule refl :args (@t619)) % 9.43/9.65 (step @p606 :rule nary_cong :premises (@p605 @p604 @p603 @p602 @p601 @p600 @p599 @p596) :args (@t620)) % 9.43/9.65 (step @p607 :rule refl :args (@t621)) % 9.43/9.65 (step @p608 :rule cong :premises (@p607 @p606) :args ((=> @t621 @t620))) % 9.43/9.65 (assume-push @p632 @t621) % 9.43/9.65 (step @p610 :rule instantiate :premises (@p595) :args ((@list tptp.v_P____ tptp.v_P_H____ tptp.v_b____ tptp.v_a____ tptp.v_b_H____ tptp.v_a_H____))) % 9.43/9.65 (step-pop @p633 :rule scope :premises (@p610)) % 9.43/9.65 (step @p611 :rule process_scope :premises (@p633) :args (@t620)) % 9.43/9.65 (step @p613 :rule eq_resolve :premises (@p611 @p608)) % 9.43/9.65 (step @p614 :rule implies_elim :premises (@p613)) % 9.43/9.65 (step @p615 :rule chain_m_resolution :premises (@p614 @p595) :args (@t623 (@list false) (@list @t621))) % 9.43/9.65 (step @p616 :rule symm :premises (@p5)) % 9.43/9.65 (step @p617 :rule symm :premises (@p4)) % 9.43/9.65 (step @p618 :rule and_elim :premises (@p6) :args (1)) % 9.43/9.65 (step @p619 :rule and_elim :premises (@p6) :args (0)) % 9.43/9.65 (step @p620 :rule cnf_or_pos :args (@t623)) % 9.43/9.65 (step @p621 :rule reordering :premises (@p620) :args ((or @t8 @t7 @t593 @t618 @t619 @t622 @t616 @t617 (not @t623)))) % 9.43/9.65 (step @p622 :rule chain_m_resolution :premises (@p621 @p619 @p618 @p617 @p616 @p7 @p8 @p9 @p615) :args (@t593 (@list true true true true false false false false) (@list @t8 @t7 @t618 @t619 @t16 @t19 @t20 @t623))) % 9.43/9.65 (step @p623 :rule not_equiv_elim2 :premises (@p524)) % 9.43/9.65 (step @p624 :rule cnf_equiv_pos2 :args (@t593)) % 9.43/9.65 (step @p625 :rule reordering :premises (@p624) :args ((or @t592 @t594 @t624))) % 9.43/9.65 (step @p626 :rule chain_m_resolution :premises (@p625 @p622 @p623) :args (@t624 (@list false true) (@list @t593 @t592))) % 9.43/9.65 (step @p627 :rule not_equiv_elim1 :premises (@p524)) % 9.43/9.65 (step @p628 :rule chain_m_resolution :premises (@p627 @p626) :args (@t592 (@list true) (@list @t591))) % 9.43/9.65 (step @p629 :rule cnf_equiv_pos1 :args (@t593)) % 9.43/9.65 (step @p630 :rule reordering :premises (@p629) :args ((or @t591 @t594 (not @t592)))) % 9.43/9.65 (step @p631 false :rule chain_m_resolution :premises (@p630 @p628 @p626 @p622) :args (false (@list false true false) (@list @t592 @t591 @t593))) % 9.43/9.65 ) % 9.43/9.65 % SZS output end Proof % 9.43/9.65 % cvc5 exiting %------------------------------------------------------------------------------