%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT135+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:21 AM UTC 2026 % Result : Theorem 64.34s 65.00s % Output : Proof 64.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT135+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:29:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.64 %----Proving TF0_NAR, FOF, or CNF % 64.34/65.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.34/65.00 --- Run --no-e-matching --full-saturate-quant at 6... % 64.34/65.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.34/65.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.34/65.00 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.34/65.00 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.34/65.00 % SZS status Theorem % 64.34/65.00 % SZS output start Proof % 64.34/65.00 ( % 64.34/65.00 (declare-sort $$unsorted 0) % 64.34/65.00 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.v_a____ $$unsorted) % 64.34/65.00 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.v_P_H____ $$unsorted) % 64.34/65.00 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.tc_HOL_Obool $$unsorted) % 64.34/65.00 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 64.34/65.00 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.v_P____ $$unsorted) % 64.34/65.00 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 64.34/65.00 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.v_F $$unsorted) % 64.34/65.00 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.v_a_H____ $$unsorted) % 64.34/65.00 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.v_b____ $$unsorted) % 64.34/65.00 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 64.34/65.00 (declare-const tptp.v_b_H____ $$unsorted) % 64.34/65.00 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.34/65.00 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 64.34/65.00 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 64.34/65.00 (define @t1 () (@var "V_g_2" $$unsorted)) % 64.34/65.00 (define @t2 () (@var "V_f_2" $$unsorted)) % 64.34/65.00 (define @t3 () (@var "B_x" $$unsorted)) % 64.34/65.00 (define @t4 () (tptp.hAPP @t1 @t3)) % 64.34/65.00 (define @t5 () (tptp.hAPP @t2 @t3)) % 64.34/65.00 (define @t6 () (@list @t3)) % 64.34/65.00 (define @t7 () (= tptp.v_a____ tptp.v_b_H____)) % 64.34/65.00 (define @t8 () (= tptp.v_b____ tptp.v_a_H____)) % 64.34/65.00 (define @t9 () (@var "B_i" $$unsorted)) % 64.34/65.00 (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____)) % 64.34/65.00 (define @t11 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 64.34/65.00 (define @t12 () (tptp.c_member @t11 @t10 (tptp.hAPP tptp.v_P_H____ @t9))) % 64.34/65.00 (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____)) % 64.34/65.00 (define @t14 () (tptp.c_member @t11 @t13 (tptp.hAPP tptp.v_P____ @t9))) % 64.34/65.00 (define @t15 () (@list @t9)) % 64.34/65.00 (define @t16 () (forall @t15 (= @t14 @t12))) % 64.34/65.00 (define @t17 () (tptp.tc_fun @t11 tptp.tc_HOL_Obool)) % 64.34/65.00 (define @t18 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t17)) % 64.34/65.00 (define @t19 () (tptp.c_member @t18 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.34/65.00 (define @t20 () (tptp.c_member @t18 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.34/65.00 (define @t21 () (@var "V_B_2" $$unsorted)) % 64.34/65.00 (define @t22 () (@var "V_c_2" $$unsorted)) % 64.34/65.00 (define @t23 () (@var "T_a" $$unsorted)) % 64.34/65.00 (define @t24 () (tptp.c_member @t23 @t22 @t21)) % 64.34/65.00 (define @t25 () (@var "V_A_2" $$unsorted)) % 64.34/65.00 (define @t26 () (tptp.c_member @t23 @t22 @t25)) % 64.34/65.00 (define @t27 () (=> (not @t26) @t24)) % 64.34/65.00 (define @t28 () (not @t24)) % 64.34/65.00 (define @t29 () (=> @t26 @t28)) % 64.34/65.00 (define @t30 () (= @t25 @t21)) % 64.34/65.00 (define @t31 () (@var "V_L_2" $$unsorted)) % 64.34/65.00 (define @t32 () (@var "V_y_2" $$unsorted)) % 64.34/65.00 (define @t33 () (@var "V_x_2" $$unsorted)) % 64.34/65.00 (define @t34 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t33 @t32)) % 64.34/65.00 (define @t35 () (tptp.c_member @t11 @t34 @t31)) % 64.34/65.00 (define @t36 () (@var "V_z_2" $$unsorted)) % 64.34/65.00 (define @t37 () (= @t33 @t36)) % 64.34/65.00 (define @t38 () (not @t37)) % 64.34/65.00 (define @t39 () (= @t33 @t32)) % 64.34/65.00 (define @t40 () (not @t39)) % 64.34/65.00 (define @t41 () (= @t32 @t36)) % 64.34/65.00 (define @t42 () (not @t41)) % 64.34/65.00 (define @t43 () (@list @t36 @t31 @t32 @t33)) % 64.34/65.00 (define @t44 () (@var "V_P_Ha_2" $$unsorted)) % 64.34/65.00 (define @t45 () (@var "V_b_Ha_2" $$unsorted)) % 64.34/65.00 (define @t46 () (@var "V_a_Ha_2" $$unsorted)) % 64.34/65.00 (define @t47 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t46 @t45)) % 64.34/65.00 (define @t48 () (tptp.c_member @t11 @t47 (tptp.hAPP tptp.v_F @t44))) % 64.34/65.00 (define @t49 () (@var "V_Pa_2" $$unsorted)) % 64.34/65.00 (define @t50 () (@var "V_ba_2" $$unsorted)) % 64.34/65.00 (define @t51 () (@var "V_aa_2" $$unsorted)) % 64.34/65.00 (define @t52 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t51 @t50)) % 64.34/65.00 (define @t53 () (tptp.c_member @t11 @t52 (tptp.hAPP tptp.v_F @t49))) % 64.34/65.00 (define @t54 () (=> @t53 @t48)) % 64.34/65.00 (define @t55 () (forall @t15 (= (tptp.c_member @t11 @t52 (tptp.hAPP @t49 @t9)) (tptp.c_member @t11 @t47 (tptp.hAPP @t44 @t9))))) % 64.34/65.00 (define @t56 () (=> @t55 @t54)) % 64.34/65.00 (define @t57 () (tptp.c_member @t18 @t44 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.34/65.00 (define @t58 () (=> @t57 @t56)) % 64.34/65.00 (define @t59 () (tptp.c_member @t18 @t49 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.34/65.00 (define @t60 () (=> @t59 @t58)) % 64.34/65.00 (define @t61 () (not (= @t50 @t46))) % 64.34/65.00 (define @t62 () (=> @t61 @t60)) % 64.34/65.00 (define @t63 () (not (= @t51 @t45))) % 64.34/65.00 (define @t64 () (=> @t63 @t62)) % 64.34/65.00 (define @t65 () (not (= @t46 @t45))) % 64.34/65.00 (define @t66 () (=> @t65 @t64)) % 64.34/65.00 (define @t67 () (= @t51 @t50)) % 64.34/65.00 (define @t68 () (not @t67)) % 64.34/65.00 (define @t69 () (=> @t68 @t66)) % 64.34/65.00 (define @t70 () (@list @t44 @t49 @t45 @t46 @t50 @t51)) % 64.34/65.00 (define @t71 () (forall @t70 @t69)) % 64.34/65.00 (define @t72 () (@var "V_R_2" $$unsorted)) % 64.34/65.00 (define @t73 () (@var "T_b" $$unsorted)) % 64.34/65.00 (define @t74 () (tptp.c_Product__Type_OPair @t23 @t73 @t33 @t32)) % 64.34/65.00 (define @t75 () (tptp.tc_prod @t23 @t73)) % 64.34/65.00 (define @t76 () (tptp.c_Recdef_Osame__fst @t23 @t73 @t49 @t72)) % 64.34/65.00 (define @t77 () (@var "V_y_H_2" $$unsorted)) % 64.34/65.00 (define @t78 () (tptp.tc_prod @t75 @t75)) % 64.34/65.00 (define @t79 () (tptp.tc_prod @t73 @t73)) % 64.34/65.00 (define @t80 () (tptp.hBOOL (tptp.hAPP @t49 @t33))) % 64.34/65.00 (define @t81 () (@var "V_r_2" $$unsorted)) % 64.34/65.00 (define @t82 () (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t3)) % 64.34/65.00 (define @t83 () (tptp.tc_prod @t23 @t23)) % 64.34/65.00 (define @t84 () (tptp.c_member @t83 @t82 @t81)) % 64.34/65.00 (define @t85 () (@list @t81 @t23)) % 64.34/65.00 (define @t86 () (@var "B_b" $$unsorted)) % 64.34/65.00 (define @t87 () (@var "B_a" $$unsorted)) % 64.34/65.00 (define @t88 () (tptp.c_Product__Type_OPair @t23 @t73 @t87 @t86)) % 64.34/65.00 (define @t89 () (@list @t87 @t86)) % 64.34/65.00 (define @t90 () (@var "B_x1" $$unsorted)) % 64.34/65.00 (define @t91 () (= @t51 @t46)) % 64.34/65.00 (define @t92 () (tptp.c_Product__Type_OPair @t23 @t73 @t46 @t45)) % 64.34/65.00 (define @t93 () (tptp.c_Product__Type_OPair @t23 @t73 @t51 @t50)) % 64.34/65.00 (define @t94 () (@var "V_b_H" $$unsorted)) % 64.34/65.00 (define @t95 () (@var "V_b" $$unsorted)) % 64.34/65.00 (define @t96 () (@var "V_a_H" $$unsorted)) % 64.34/65.00 (define @t97 () (@var "V_a" $$unsorted)) % 64.34/65.00 (define @t98 () (tptp.c_member @t23 @t51 @t25)) % 64.34/65.00 (define @t99 () (tptp.c_member @t23 @t50 @t25)) % 64.34/65.00 (define @t100 () (@list @t25 @t23 @t50 @t51)) % 64.34/65.00 (define @t101 () (tptp.c_member @t23 @t32 @t25)) % 64.34/65.00 (define @t102 () (tptp.c_member @t23 @t33 @t25)) % 64.34/65.00 (define @t103 () (tptp.c_member @t23 @t33 @t21)) % 64.34/65.00 (define @t104 () (tptp.hBOOL (tptp.hAPP @t25 @t33))) % 64.34/65.00 (define @t105 () (@list @t25 @t33 @t23)) % 64.34/65.00 (define @t106 () (@var "V_f1_2" $$unsorted)) % 64.34/65.00 (define @t107 () (@var "T_c" $$unsorted)) % 64.34/65.00 (define @t108 () (tptp.c_Product__Type_OPair @t73 @t107 @t51 @t50)) % 64.34/65.00 (define @t109 () (@var "B_xa" $$unsorted)) % 64.34/65.00 (define @t110 () (@var "V_Fa_2" $$unsorted)) % 64.34/65.00 (define @t111 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t87 @t86)) % 64.34/65.00 (define @t112 () (tptp.hAPP @t110 @t3)) % 64.34/65.00 (define @t113 () (tptp.c_member @t11 @t111 @t112)) % 64.34/65.00 (define @t114 () (tptp.c_member @t11 @t111 (tptp.hAPP @t3 @t9))) % 64.34/65.00 (define @t115 () (@list @t109)) % 64.34/65.00 (define @t116 () (tptp.c_member @t18 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 64.34/65.00 (define @t117 () (@list @t110)) % 64.34/65.00 (define @t118 () (@var "V_s_2" $$unsorted)) % 64.34/65.00 (define @t119 () (@var "V_i_2" $$unsorted)) % 64.34/65.00 (define @t120 () (@var "B_z" $$unsorted)) % 64.34/65.00 (define @t121 () (@var "B_g" $$unsorted)) % 64.34/65.00 (define @t122 () (@var "V_a1_2" $$unsorted)) % 64.34/65.00 (define @t123 () (@list @t120)) % 64.34/65.00 (define @t124 () (forall @t123 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t120 @t122) @t72) (tptp.c_Recdef_Owfrec__rel @t23 @t73 @t72 @t110 @t120 (tptp.hAPP @t121 @t120))))) % 64.34/65.00 (define @t125 () (tptp.hAPP (tptp.hAPP @t110 @t121) @t122)) % 64.34/65.00 (define @t126 () (@var "V_a2_2" $$unsorted)) % 64.34/65.00 (define @t127 () (tptp.hAPP (tptp.hAPP @t110 @t126) @t122)) % 64.34/65.00 (define @t128 () (@list @t121)) % 64.34/65.00 (define @t129 () (@list @t126 @t122 @t110 @t72 @t73 @t23)) % 64.34/65.00 (define @t130 () (tptp.c_member @t17 @t31 tptp.c_Arrow__Order__Mirabelle_OLin)) % 64.34/65.00 (define @t131 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t23 @t73 tptp.tc_HOL_Obool @t2 @t51 @t50))) % 64.34/65.00 (define @t132 () (tptp.hBOOL (tptp.hAPP @t2 @t93))) % 64.34/65.00 (define @t133 () (tptp.hAPP @t2 @t33)) % 64.34/65.00 (define @t134 () (tptp.c_Recdef_Ocut @t23 @t73 @t2 @t81 @t51)) % 64.34/65.00 (define @t135 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t51)) % 64.34/65.00 (define @t136 () (tptp.c_member @t83 @t135 @t81)) % 64.34/65.00 (define @t137 () (@list @t33 @t31)) % 64.34/65.00 (define @t138 () (@var "B_f" $$unsorted)) % 64.34/65.00 (define @t139 () (@var "B_R" $$unsorted)) % 64.34/65.00 (define @t140 () (@var "B_y" $$unsorted)) % 64.34/65.00 (define @t141 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t140 @t33) @t81)) % 64.34/65.00 (define @t142 () (@list @t140)) % 64.34/65.00 (define @t143 () (= @t32 @t50)) % 64.34/65.00 (define @t144 () (= @t33 @t51)) % 64.34/65.00 (define @t145 () (= @t33 @t50)) % 64.34/65.00 (define @t146 () (@list @t32 @t33 @t31 @t50 @t51)) % 64.34/65.00 (define @t147 () (= @t32 @t51)) % 64.34/65.00 (define @t148 () (@list @t31 @t32 @t33)) % 64.34/65.00 (define @t149 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t120 @t33) @t72)) % 64.34/65.00 (define @t150 () (tptp.c_Wellfounded_Oacc @t23 @t81)) % 64.34/65.00 (define @t151 () (tptp.c_member @t23 @t3 @t150)) % 64.34/65.00 (define @t152 () (tptp.c_member @t23 @t51 @t150)) % 64.34/65.00 (define @t153 () (@list @t81 @t51 @t23)) % 64.34/65.00 (define @t154 () (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t50)) % 64.34/65.00 (define @t155 () (tptp.c_member @t83 @t154 @t81)) % 64.34/65.00 (define @t156 () (tptp.c_member @t23 @t50 @t150)) % 64.34/65.00 (define @t157 () (tptp.c_Wellfounded_Oacc @t23 @t72)) % 64.34/65.00 (define @t158 () (tptp.c_member @t23 @t33 @t150)) % 64.34/65.00 (define @t159 () (@list @t81 @t33 @t23)) % 64.34/65.00 (define @t160 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t81)) % 64.34/65.00 (define @t161 () (tptp.c_Product__Type_OPair @t23 @t23 @t50 @t51)) % 64.34/65.00 (define @t162 () (tptp.c_member @t83 @t161 @t160)) % 64.34/65.00 (define @t163 () (@var "B_L" $$unsorted)) % 64.34/65.00 (define @t164 () (@list @t32 @t33 @t23)) % 64.34/65.00 (define @t165 () (tptp.c_Product__Type_OSigma @t23 @t73 @t25 @t21)) % 64.34/65.00 (define @t166 () (tptp.c_member @t75 @t93 @t165)) % 64.34/65.00 (define @t167 () (tptp.c_member @t73 @t50 (tptp.hAPP @t21 @t51))) % 64.34/65.00 (define @t168 () (tptp.c_member @t75 @t93 @t81)) % 64.34/65.00 (define @t169 () (@list @t81 @t50 @t51 @t73 @t23)) % 64.34/65.00 (define @t170 () (tptp.tc_prod @t73 @t23)) % 64.34/65.00 (define @t171 () (tptp.c_Relation_ORange @t73 @t23 @t81)) % 64.34/65.00 (define @t172 () (@list @t81 @t73 @t51 @t23)) % 64.34/65.00 (define @t173 () (@list @t21 @t25 @t50 @t51 @t73 @t23)) % 64.34/65.00 (define @t174 () (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t51)) % 64.34/65.00 (define @t175 () (@var "V_p_2" $$unsorted)) % 64.34/65.00 (define @t176 () (tptp.c_member @t83 @t175 @t81)) % 64.34/65.00 (define @t177 () (@list @t81 @t175 @t23)) % 64.34/65.00 (define @t178 () (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t22)) % 64.34/65.00 (define @t179 () (tptp.c_member @t83 @t178 @t160)) % 64.34/65.00 (define @t180 () (tptp.c_Product__Type_OPair @t23 @t23 @t50 @t22)) % 64.34/65.00 (define @t181 () (tptp.c_member @t83 @t180 @t160)) % 64.34/65.00 (define @t182 () (=> @t181 @t179)) % 64.34/65.00 (define @t183 () (@list @t22 @t81 @t50 @t51 @t23)) % 64.34/65.00 (define @t184 () (tptp.c_member @t83 @t180 @t81)) % 64.34/65.00 (define @t185 () (tptp.c_member @t83 @t154 @t160)) % 64.34/65.00 (define @t186 () (tptp.c_member @t170 (tptp.c_Product__Type_OPair @t73 @t23 @t3 @t50) @t81)) % 64.34/65.00 (define @t187 () (tptp.c_Product__Type_OPair @t23 @t73 @t3 @t140)) % 64.34/65.00 (define @t188 () (tptp.c_member @t23 @t3 @t25)) % 64.34/65.00 (define @t189 () (tptp.c_Relation_OId__on @t23 @t25)) % 64.34/65.00 (define @t190 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t32)) % 64.34/65.00 (define @t191 () (@list @t25 @t32 @t33 @t23)) % 64.34/65.00 (define @t192 () (@list @t25 @t23)) % 64.34/65.00 (define @t193 () (tptp.c_Product__Type_OPair @t23 @t23 @t32 @t36)) % 64.34/65.00 (define @t194 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t36)) % 64.34/65.00 (define @t195 () (tptp.c_member @t83 @t194 @t160)) % 64.34/65.00 (define @t196 () (tptp.c_member @t83 @t190 @t160)) % 64.34/65.00 (define @t197 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t72)) % 64.34/65.00 (define @t198 () (tptp.c_member @t83 @t190 @t197)) % 64.34/65.00 (define @t199 () (tptp.c_Relation_ODomain @t23 @t73 @t81)) % 64.34/65.00 (define @t200 () (tptp.c_member @t23 @t51 @t199)) % 64.34/65.00 (define @t201 () (@var "V_by_2" $$unsorted)) % 64.34/65.00 (define @t202 () (@var "V_bx_2" $$unsorted)) % 64.34/65.00 (define @t203 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t202) @t201))) % 64.34/65.00 (define @t204 () (@var "B_ba" $$unsorted)) % 64.34/65.00 (define @t205 () (@var "B_aa" $$unsorted)) % 64.34/65.00 (define @t206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t205) @t204))) % 64.34/65.00 (define @t207 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t87) @t86))) % 64.34/65.00 (define @t208 () (tptp.c_Product__Type_OPair @t23 @t73 @t205 @t204)) % 64.34/65.00 (define @t209 () (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t88 @t208) @t81)) % 64.34/65.00 (define @t210 () (tptp.c_Transitive__Closure_Ortrancl @t75 @t81)) % 64.34/65.00 (define @t211 () (@var "V_ay_2" $$unsorted)) % 64.34/65.00 (define @t212 () (@var "V_ax_2" $$unsorted)) % 64.34/65.00 (define @t213 () (tptp.c_Product__Type_OPair @t23 @t73 @t212 @t211)) % 64.34/65.00 (define @t214 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t212) @t211))) % 64.34/65.00 (define @t215 () (tptp.c_Product__Type_OPair @t23 @t73 @t202 @t201)) % 64.34/65.00 (define @t216 () (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t213 @t215) @t210)) % 64.34/65.00 (define @t217 () (@list @t49 @t81 @t201 @t202 @t211 @t212 @t73 @t23)) % 64.34/65.00 (define @t218 () (@var "V_zb_2" $$unsorted)) % 64.34/65.00 (define @t219 () (@var "V_za_2" $$unsorted)) % 64.34/65.00 (define @t220 () (tptp.c_Product__Type_OPair @t23 @t73 @t219 @t218)) % 64.34/65.00 (define @t221 () (@var "V_xb_2" $$unsorted)) % 64.34/65.00 (define @t222 () (@var "V_xa_2" $$unsorted)) % 64.34/65.00 (define @t223 () (tptp.c_Product__Type_OPair @t23 @t73 @t222 @t221)) % 64.34/65.00 (define @t224 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t140) @t160)) % 64.34/65.00 (define @t225 () (@list @t81 @t50 @t51 @t23)) % 64.34/65.00 (define @t226 () (@list @t3 @t140)) % 64.34/65.00 (define @t227 () (forall @t226 (=> (tptp.c_member @t75 @t187 @t81) (forall @t123 (=> (tptp.c_member @t75 (tptp.c_Product__Type_OPair @t23 @t73 @t3 @t120) @t81) (= @t140 @t120)))))) % 64.34/65.00 (define @t228 () (tptp.c_Relation_Osingle__valued @t23 @t73 @t81)) % 64.34/65.00 (define @t229 () (@list @t81 @t73 @t23)) % 64.34/65.00 (define @t230 () (tptp.c_member @t75 (tptp.c_Product__Type_OPair @t23 @t73 @t51 @t140) @t81)) % 64.34/65.00 (define @t231 () (tptp.hBOOL (tptp.hAPP @t49 @t50))) % 64.34/65.00 (define @t232 () (tptp.hBOOL (tptp.hAPP @t49 @t120))) % 64.34/65.00 (define @t233 () (tptp.hBOOL (tptp.hAPP @t49 @t140))) % 64.34/65.00 (define @t234 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t140 @t120) @t81)) % 64.34/65.00 (define @t235 () (tptp.hBOOL (tptp.hAPP @t49 @t51))) % 64.34/65.00 (define @t236 () (@list @t49 @t81 @t50 @t51 @t23)) % 64.34/65.00 (define @t237 () (tptp.c_Product__Type_OPair @t23 @t23 @t140 @t36)) % 64.34/65.00 (define @t238 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t140) @t81)) % 64.34/65.00 (define @t239 () (@list @t81 @t36 @t33 @t23)) % 64.34/65.00 (define @t240 () (not (= @t3 @t109))) % 64.34/65.00 (define @t241 () (tptp.c_Relation_Ototal__on @t23 @t25 @t81)) % 64.34/65.00 (define @t242 () (@list @t81 @t25 @t23)) % 64.34/65.00 (define @t243 () (tptp.c_member @t83 @t174 @t81)) % 64.34/65.00 (define @t244 () (tptp.c_Relation_Orefl__on @t23 @t25 @t81)) % 64.34/65.00 (define @t245 () (@list @t51 @t81 @t25 @t23)) % 64.34/65.00 (define @t246 () (tptp.c_member @t83 @t190 @t81)) % 64.34/65.00 (define @t247 () (@list @t32 @t33 @t81 @t25 @t23)) % 64.34/65.00 (define @t248 () (tptp.c_Transitive__Closure_Otrancl @t23 @t81)) % 64.34/65.00 (define @t249 () (tptp.c_member @t83 @t154 @t248)) % 64.34/65.00 (define @t250 () (tptp.c_Relation_OId @t23)) % 64.34/65.00 (define @t251 () (@list @t51 @t23)) % 64.34/65.00 (define @t252 () (tptp.c_member @t83 @t161 @t81)) % 64.34/65.00 (define @t253 () (tptp.c_Relation_Oantisym @t23 @t81)) % 64.34/65.00 (define @t254 () (@list @t50 @t51 @t81 @t23)) % 64.34/65.00 (define @t255 () (= @t3 @t140)) % 64.34/65.00 (define @t256 () (tptp.c_Product__Type_OPair @t23 @t23 @t140 @t3)) % 64.34/65.00 (define @t257 () (tptp.c_member @t83 @t256 @t81)) % 64.34/65.00 (define @t258 () (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t140)) % 64.34/65.00 (define @t259 () (forall @t226 (=> (tptp.c_member @t83 @t258 @t81) (=> @t257 @t255)))) % 64.34/65.00 (define @t260 () (tptp.c_Product__Type_OPair @t23 @t23 @t32 @t33)) % 64.34/65.00 (define @t261 () (tptp.c_member @t83 @t260 @t160)) % 64.34/65.00 (define @t262 () (tptp.c_Relation_Oconverse @t23 @t23 @t81)) % 64.34/65.00 (define @t263 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t262)) % 64.34/65.00 (define @t264 () (tptp.c_member @t83 @t190 @t263)) % 64.34/65.00 (define @t265 () (@list @t81 @t32 @t33 @t23)) % 64.34/65.00 (define @t266 () (@list @t81 @t33 @t32 @t23)) % 64.34/65.00 (define @t267 () (tptp.c_member @t83 @t194 @t248)) % 64.34/65.00 (define @t268 () (tptp.c_Relation_Oconverse @t23 @t23 @t248)) % 64.34/65.00 (define @t269 () (tptp.c_Transitive__Closure_Otrancl @t23 @t262)) % 64.34/65.00 (define @t270 () (@list @t23)) % 64.34/65.00 (define @t271 () (tptp.c_Relation_Oconverse @t23 @t73 @t81)) % 64.34/65.00 (define @t272 () (@list @t81 @t23 @t73)) % 64.34/65.00 (define @t273 () (tptp.c_member @t83 @t190 @t269)) % 64.34/65.00 (define @t274 () (tptp.c_member @t83 @t190 @t268)) % 64.34/65.00 (define @t275 () (tptp.c_member @t83 @t175 @t248)) % 64.34/65.00 (define @t276 () (tptp.c_Transitive__Closure_Otrancl @t23 @t72)) % 64.34/65.00 (define @t277 () (@list @t72 @t23)) % 64.34/65.00 (define @t278 () (tptp.c_Relation_ODomain @t23 @t23 @t81)) % 64.34/65.00 (define @t279 () (tptp.c_Relation_ORange @t23 @t23 @t81)) % 64.34/65.00 (define @t280 () (tptp.c_member @t83 @t178 @t248)) % 64.34/65.00 (define @t281 () (=> (tptp.c_member @t83 @t180 @t248) @t280)) % 64.34/65.00 (define @t282 () (=> @t184 @t280)) % 64.34/65.00 (define @t283 () (tptp.c_Product__Type_OPair @t73 @t23 @t50 @t51)) % 64.34/65.00 (define @t284 () (tptp.c_member @t170 @t283 @t81)) % 64.34/65.00 (define @t285 () (tptp.c_Relation_Oconverse @t73 @t23 @t81)) % 64.34/65.00 (define @t286 () (tptp.c_member @t75 @t93 @t285)) % 64.34/65.00 (define @t287 () (tptp.c_Relation_ODomain @t23 @t73 @t285)) % 64.34/65.00 (define @t288 () (@list @t50 @t51 @t23)) % 64.34/65.00 (define @t289 () (tptp.c_member @t83 @t190 @t276)) % 64.34/65.00 (define @t290 () (@list @t72 @t32 @t33 @t23)) % 64.34/65.00 (define @t291 () (=> @t181 @t280)) % 64.34/65.00 (define @t292 () (tptp.c_Product__Type_OPair @t23 @t23 @t120 @t32)) % 64.34/65.00 (define @t293 () (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t120)) % 64.34/65.00 (define @t294 () (forall @t6 (not (tptp.c_member @t83 @t82 @t248)))) % 64.34/65.00 (define @t295 () (tptp.c_Wellfounded_Oacyclic @t23 @t81)) % 64.34/65.00 (define @t296 () (@var "V_yx_2" $$unsorted)) % 64.34/65.00 (define @t297 () (not @t196)) % 64.34/65.00 (define @t298 () (tptp.c_Set_Oinsert @t83 @t260 @t81)) % 64.34/65.00 (define @t299 () (@var "B_c" $$unsorted)) % 64.34/65.00 (define @t300 () (tptp.tc_fun @t83 tptp.tc_HOL_Obool)) % 64.34/65.00 (define @t301 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t81 @t250)) % 64.34/65.00 (define @t302 () (tptp.hBOOL (tptp.hAPP @t21 @t33))) % 64.34/65.00 (define @t303 () (tptp.tc_fun @t23 tptp.tc_HOL_Obool)) % 64.34/65.00 (define @t304 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t21)) % 64.34/65.00 (define @t305 () (tptp.hBOOL (tptp.hAPP @t304 @t33))) % 64.34/65.00 (define @t306 () (@list @t33 @t21 @t25 @t23)) % 64.34/65.00 (define @t307 () (not @t302)) % 64.34/65.00 (define @t308 () (tptp.c_member @t23 @t51 (tptp.c_Set_Oinsert @t23 @t50 @t25))) % 64.34/65.00 (define @t309 () (@list @t25 @t50 @t51 @t23)) % 64.34/65.00 (define @t310 () (tptp.c_Set_Oinsert @t23 @t50 @t21)) % 64.34/65.00 (define @t311 () (tptp.c_member @t23 @t51 @t310)) % 64.34/65.00 (define @t312 () (tptp.c_member @t23 @t51 @t21)) % 64.34/65.00 (define @t313 () (@list @t50 @t21 @t51 @t23)) % 64.34/65.00 (define @t314 () (tptp.c_member @t23 @t22 @t304)) % 64.34/65.00 (define @t315 () (@list @t21 @t25 @t22 @t23)) % 64.34/65.00 (define @t316 () (@list @t25 @t21 @t22 @t23)) % 64.34/65.00 (define @t317 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t81 @t118)) % 64.34/65.00 (define @t318 () (tptp.c_Relation_Orefl__on @t23 @t21 @t118)) % 64.34/65.00 (define @t319 () (@list @t118 @t21 @t81 @t25 @t23)) % 64.34/65.00 (define @t320 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t21 @t25)) % 64.34/65.00 (define @t321 () (@list @t21 @t25 @t23)) % 64.34/65.00 (define @t322 () (tptp.c_Set_Oinsert @t23 @t33 @t25)) % 64.34/65.00 (define @t323 () (tptp.c_Set_Oinsert @t23 @t32 @t25)) % 64.34/65.00 (define @t324 () (tptp.c_Set_Oinsert @t23 @t51 @t21)) % 64.34/65.00 (define @t325 () (@var "V_C_2" $$unsorted)) % 64.34/65.00 (define @t326 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t325)) % 64.34/65.00 (define @t327 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t21 @t325)) % 64.34/65.00 (define @t328 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t327)) % 64.34/65.00 (define @t329 () (@list @t325 @t21 @t25 @t23)) % 64.34/65.00 (define @t330 () (tptp.hBOOL (tptp.hAPP @t49 @t3))) % 64.34/65.00 (define @t331 () (tptp.c_member @t23 @t3 @t21)) % 64.34/65.00 (define @t332 () (tptp.c_member @t23 @t3 @t304)) % 64.34/65.00 (define @t333 () (@list @t49 @t21 @t25 @t23)) % 64.34/65.00 (define @t334 () (tptp.c_Relation_ORange @t73 @t23 @t21)) % 64.34/65.00 (define @t335 () (tptp.c_Relation_ORange @t73 @t23 @t25)) % 64.34/65.00 (define @t336 () (tptp.tc_fun @t170 tptp.tc_HOL_Obool)) % 64.34/65.00 (define @t337 () (tptp.c_Relation_ODomain @t23 @t73 @t21)) % 64.34/65.00 (define @t338 () (tptp.c_Relation_ODomain @t23 @t73 @t25)) % 64.34/65.00 (define @t339 () (tptp.tc_fun @t75 tptp.tc_HOL_Obool)) % 64.34/65.00 (define @t340 () (@list @t21 @t25 @t73 @t23)) % 64.34/65.00 (define @t341 () (tptp.c_Product__Type_OPair @t73 @t23 @t51 @t50)) % 64.34/65.00 (define @t342 () (tptp.c_Set_Oinsert @t23 @t33 @t21)) % 64.34/65.00 (define @t343 () (not @t102)) % 64.34/65.00 (define @t344 () (@list @t21 @t25 @t33 @t23)) % 64.34/65.00 (define @t345 () (tptp.c_Set_Oinsert @t23 @t51 @t25)) % 64.34/65.00 (define @t346 () (@list @t25 @t51 @t23)) % 64.34/65.00 (define @t347 () (@var "V_S_2" $$unsorted)) % 64.34/65.00 (define @t348 () (tptp.c_Transitive__Closure_Ortrancl @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t72 @t347))) % 64.34/65.00 (define @t349 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t347)) % 64.34/65.00 (define @t350 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t197 @t349)) % 64.34/65.00 (define @t351 () (@list @t347 @t72 @t23)) % 64.34/65.00 (define @t352 () (tptp.c_Relation_Oconverse @t73 @t23 @t118)) % 64.34/65.00 (define @t353 () (@list @t118 @t81 @t23 @t73)) % 64.34/65.00 (define @t354 () (tptp.hAPP @t1 @t33)) % 64.34/65.00 (define @t355 () (tptp.tc_fun @t73 @t23)) % 64.34/65.00 (define @t356 () (tptp.class_Lattices_Olattice @t23)) % 64.34/65.00 (define @t357 () (@list @t33 @t1 @t2 @t73 @t23)) % 64.34/65.00 (define @t358 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t49)) % 64.34/65.00 (define @t359 () (tptp.c_member @t83 @t154 @t358)) % 64.34/65.00 (define @t360 () (@var "V_Q_2" $$unsorted)) % 64.34/65.00 (define @t361 () (tptp.c_member @t83 @t154 (tptp.c_Transitive__Closure_Ortrancl @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t49 @t360)))) % 64.34/65.00 (define @t362 () (@list @t360 @t49 @t50 @t51 @t23)) % 64.34/65.00 (define @t363 () (tptp.c_Wellfounded_Owf @t23 @t81)) % 64.34/65.00 (define @t364 () (tptp.c_Relation_OField @t23 @t81)) % 64.34/65.00 (define @t365 () (tptp.c_Orderings_Otop__class_Otop @t303)) % 64.34/65.00 (define @t366 () (@list @t33 @t23)) % 64.34/65.00 (define @t367 () (@var "V_rb_2" $$unsorted)) % 64.34/65.00 (define @t368 () (@var "V_ra_2" $$unsorted)) % 64.34/65.00 (define @t369 () (tptp.c_Orderings_Otop__class_Otop @t23)) % 64.34/65.00 (define @t370 () (@var "V_x" $$unsorted)) % 64.34/65.00 (define @t371 () (tptp.class_Lattices_Obounded__lattice__top @t23)) % 64.34/65.00 (define @t372 () (@list @t370 @t23)) % 64.34/65.00 (define @t373 () (@list @t21 @t23)) % 64.34/65.00 (define @t374 () (@list @t33 @t81 @t23)) % 64.34/65.00 (define @t375 () (tptp.c_Relation_OField @t23 @t118)) % 64.34/65.00 (define @t376 () (@list @t118 @t81 @t23)) % 64.34/65.00 (define @t377 () (tptp.class_Lattices_Osemilattice__sup @t23)) % 64.34/65.00 (define @t378 () (@list @t97 @t23)) % 64.34/65.00 (define @t379 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t97 @t95)) % 64.34/65.00 (define @t380 () (@list @t95 @t97 @t23)) % 64.34/65.00 (define @t381 () (@var "V_y" $$unsorted)) % 64.34/65.00 (define @t382 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t381 @t370)) % 64.34/65.00 (define @t383 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t381)) % 64.34/65.00 (define @t384 () (= @t383 @t382)) % 64.34/65.00 (define @t385 () (@list @t381 @t370 @t23)) % 64.34/65.00 (define @t386 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t383) @t383)) % 64.34/65.00 (define @t387 () (@var "V_c" $$unsorted)) % 64.34/65.00 (define @t388 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t97 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t95 @t387))) % 64.34/65.00 (define @t389 () (@list @t387 @t97 @t95 @t23)) % 64.34/65.00 (define @t390 () (@var "V_z" $$unsorted)) % 64.34/65.00 (define @t391 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t390)) % 64.34/65.00 (define @t392 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t381 @t390)) % 64.34/65.00 (define @t393 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t392)) % 64.34/65.00 (define @t394 () (= @t393 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t381 @t391))) % 64.34/65.00 (define @t395 () (@list @t390 @t381 @t370 @t23)) % 64.34/65.00 (define @t396 () (@list @t387 @t95 @t97 @t23)) % 64.34/65.00 (define @t397 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t383 @t390) @t393)) % 64.34/65.00 (define @t398 () (tptp.class_Orderings_Otop @t23)) % 64.34/65.00 (define @t399 () (@list @t33 @t73 @t23)) % 64.34/65.00 (define @t400 () (@var "B_M" $$unsorted)) % 64.34/65.00 (define @t401 () (tptp.c_Recdef_Owfrec @t23 @t73 @t139 @t400)) % 64.34/65.00 (define @t402 () (@var "V_H_2" $$unsorted)) % 64.34/65.00 (define @t403 () (tptp.c_Recdef_Owfrec @t23 @t73 @t81 @t402)) % 64.34/65.00 (define @t404 () (tptp.c_Orderings_Obot__class_Obot @t303)) % 64.34/65.00 (define @t405 () (tptp.c_Set_Oinsert @t23 @t50 @t404)) % 64.34/65.00 (define @t406 () (tptp.c_Set_Oinsert @t23 @t51 @t405)) % 64.34/65.00 (define @t407 () (@var "B_Q" $$unsorted)) % 64.34/65.00 (define @t408 () (tptp.c_member @t23 @t3 @t407)) % 64.34/65.00 (define @t409 () (tptp.c_Wellfounded_Owf @t23 @t72)) % 64.34/65.00 (define @t410 () (tptp.c_Orderings_Obot__class_Obot @t300)) % 64.34/65.00 (define @t411 () (tptp.c_Orderings_Obot__class_Obot @t23)) % 64.34/65.00 (define @t412 () (tptp.class_Orderings_Obot @t23)) % 64.34/65.00 (define @t413 () (tptp.c_Orderings_Obot__class_Obot @t339)) % 64.34/65.00 (define @t414 () (tptp.c_Orderings_Obot__class_Obot @t336)) % 64.34/65.00 (define @t415 () (= @t25 @t404)) % 64.34/65.00 (define @t416 () (@var "V_d_2" $$unsorted)) % 64.34/65.00 (define @t417 () (tptp.c_Set_Oinsert @t23 @t51 @t404)) % 64.34/65.00 (define @t418 () (not @t98)) % 64.34/65.00 (define @t419 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t33 @t32)) % 64.34/65.00 (define @t420 () (tptp.class_Lattices_Obounded__lattice__bot @t23)) % 64.34/65.00 (define @t421 () (= @t50 @t51)) % 64.34/65.00 (define @t422 () (tptp.c_member @t23 @t50 @t417)) % 64.34/65.00 (define @t423 () (@list @t51 @t50 @t23)) % 64.34/65.00 (define @t424 () (tptp.c_Set_Oinsert @t23 @t33 @t404)) % 64.34/65.00 (define @t425 () (tptp.tc_fun @t73 tptp.tc_HOL_Obool)) % 64.34/65.00 (define @t426 () (tptp.c_Orderings_Obot__class_Obot @t425)) % 64.34/65.00 (define @t427 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t21)) % 64.34/65.00 (define @t428 () (tptp.hBOOL (tptp.hAPP @t427 @t33))) % 64.34/65.00 (define @t429 () (tptp.c_member @t23 @t22 @t427)) % 64.34/65.00 (define @t430 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t381 @t390)) % 64.34/65.00 (define @t431 () (tptp.class_Lattices_Odistrib__lattice @t23)) % 64.34/65.00 (define @t432 () (@list @t370 @t390 @t381 @t23)) % 64.34/65.00 (define @t433 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t381 @t370)) % 64.34/65.00 (define @t434 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t383 @t391)) % 64.34/65.00 (define @t435 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t430)) % 64.34/65.00 (define @t436 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t390)) % 64.34/65.00 (define @t437 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t381)) % 64.34/65.00 (define @t438 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t437 @t436)) % 64.34/65.00 (define @t439 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t392)) % 64.34/65.00 (define @t440 () (tptp.class_Lattices_Osemilattice__inf @t23)) % 64.34/65.00 (define @t441 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t97 @t95)) % 64.34/65.00 (define @t442 () (= @t437 @t433)) % 64.34/65.00 (define @t443 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t437) @t437)) % 64.34/65.00 (define @t444 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t97 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t95 @t387))) % 64.34/65.00 (define @t445 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t430)) % 64.34/65.00 (define @t446 () (= @t445 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t381 @t436))) % 64.34/65.00 (define @t447 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t437 @t390) @t445)) % 64.34/65.00 (define @t448 () (tptp.c_Set_Oinsert @t23 @t51 @t427)) % 64.34/65.00 (define @t449 () (@list @t21 @t25 @t51 @t23)) % 64.34/65.00 (define @t450 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t325 @t25)) % 64.34/65.00 (define @t451 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t325 @t25)) % 64.34/65.00 (define @t452 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t21 @t325)) % 64.34/65.00 (define @t453 () (@list @t25 @t325 @t21 @t23)) % 64.34/65.00 (define @t454 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t21 @t25)) % 64.34/65.00 (define @t455 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t325)) % 64.34/65.00 (define @t456 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t327)) % 64.34/65.00 (define @t457 () (tptp.c_Relation_OImage @t73 @t23 @t72 @t21)) % 64.34/65.00 (define @t458 () (tptp.c_Relation_OImage @t73 @t23 @t72 @t25)) % 64.34/65.00 (define @t459 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t458 @t457)) % 64.34/65.00 (define @t460 () (tptp.c_Relation_OImage @t73 @t23 @t72 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t425 @t25 @t21))) % 64.34/65.00 (define @t461 () (@list @t21 @t25 @t72 @t73 @t23)) % 64.34/65.00 (define @t462 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t452)) % 64.34/65.00 (define @t463 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t33 @t32)) % 64.34/65.00 (define @t464 () (@var "V_r_H_2" $$unsorted)) % 64.34/65.00 (define @t465 () (@list @t464 @t81 @t23)) % 64.34/65.00 (define @t466 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t324)) % 64.34/65.00 (define @t467 () (=> @t418 (= @t466 @t427))) % 64.34/65.00 (define @t468 () (=> @t98 (= @t466 @t448))) % 64.34/65.00 (define @t469 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t324 @t325)) % 64.34/65.00 (define @t470 () (tptp.c_member @t23 @t51 @t325)) % 64.34/65.00 (define @t471 () (=> (not @t470) (= @t469 @t452))) % 64.34/65.00 (define @t472 () (=> @t470 (= @t469 (tptp.c_Set_Oinsert @t23 @t51 @t452)))) % 64.34/65.00 (define @t473 () (@list @t21 @t325 @t51 @t23)) % 64.34/65.00 (define @t474 () (tptp.c_member @t73 @t3 @t25)) % 64.34/65.00 (define @t475 () (tptp.c_member @t23 @t50 (tptp.c_Relation_OImage @t73 @t23 @t81 @t25))) % 64.34/65.00 (define @t476 () (@list @t25 @t81 @t73 @t50 @t23)) % 64.34/65.00 (define @t477 () (tptp.c_Relation_OImage @t23 @t73 @t81 @t25)) % 64.34/65.00 (define @t478 () (tptp.c_Relation_OImage @t23 @t23 @t81 @t405)) % 64.34/65.00 (define @t479 () (tptp.c_Relation_OImage @t23 @t23 @t81 @t417)) % 64.34/65.00 (define @t480 () (= @t479 @t478)) % 64.34/65.00 (define @t481 () (tptp.c_member @t23 @t50 @t364)) % 64.34/65.00 (define @t482 () (tptp.c_member @t23 @t51 @t364)) % 64.34/65.00 (define @t483 () (=> @t482 (=> @t481 (= @t480 @t67)))) % 64.34/65.00 (define @t484 () (tptp.c_Order__Relation_Opartial__order__on @t23 @t25 @t81)) % 64.34/65.00 (define @t485 () (tptp.c_Order__Relation_Olinear__order__on @t23 @t25 @t81)) % 64.34/65.00 (define @t486 () (tptp.c_Order__Relation_Opreorder__on @t23 @t25 @t81)) % 64.34/65.00 (define @t487 () (tptp.c_Equiv__Relations_Oequiv @t23 @t25 @t81)) % 64.34/65.00 (define @t488 () (@list @t50 @t51 @t81 @t25 @t23)) % 64.34/65.00 (define @t489 () (=> @t99 @t155)) % 64.34/65.00 (define @t490 () (tptp.c_Set_Oinsert @t23 @t32 @t404)) % 64.34/65.00 (define @t491 () (tptp.c_Relation_OImage @t23 @t23 @t81 @t424)) % 64.34/65.00 (define @t492 () (= @t491 (tptp.c_Relation_OImage @t23 @t23 @t81 @t490))) % 64.34/65.00 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t479 @t478)) % 64.34/65.00 (define @t494 () (tptp.c_Equiv__Relations_Oquotient @t23 @t424 @t81)) % 64.34/65.00 (define @t495 () (tptp.class_Orderings_Opreorder @t23)) % 64.34/65.00 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t21 @t25)) % 64.34/65.00 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t21)) % 64.34/65.00 (define @t498 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t303 tptp.tc_HOL_Obool))) % 64.34/65.00 (define @t499 () (tptp.c_Equiv__Relations_Oquotient @t23 @t25 @t81)) % 64.34/65.00 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t437 @t370)) % 64.34/65.00 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t437 @t381)) % 64.34/65.00 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t33 @t32)) % 64.34/65.00 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t33 @t36)) % 64.34/65.00 (define @t504 () (@list @t36 @t32 @t33 @t23)) % 64.34/65.00 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t441 @t370)) % 64.34/65.00 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t97 @t370)) % 64.34/65.00 (define @t507 () (@list @t95 @t370 @t97 @t23)) % 64.34/65.00 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t95 @t370)) % 64.34/65.00 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t381)) % 64.34/65.00 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t381 @t370)) % 64.34/65.00 (define @t511 () (@list @t370 @t381 @t23)) % 64.34/65.00 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t441)) % 64.34/65.00 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t95)) % 64.34/65.00 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t97)) % 64.34/65.00 (define @t515 () (@list @t95 @t97 @t370 @t23)) % 64.34/65.00 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t390)) % 64.34/65.00 (define @t517 () (@var "V_d" $$unsorted)) % 64.34/65.00 (define @t518 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t95 @t517)) % 64.34/65.00 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t97 @t387)) % 64.34/65.00 (define @t520 () (@list @t517 @t95 @t387 @t97 @t23)) % 64.34/65.00 (define @t521 () (@list @t25 @t21 @t23)) % 64.34/65.00 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t325 @t25)) % 64.34/65.00 (define @t523 () (@var "V_D_2" $$unsorted)) % 64.34/65.00 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t21 @t523)) % 64.34/65.00 (define @t525 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t325)) % 64.34/65.00 (define @t526 () (@list @t523 @t21 @t325 @t25 @t23)) % 64.34/65.00 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t81 @t118)) % 64.34/65.00 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t379 @t370)) % 64.34/65.00 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t390 @t370)) % 64.34/65.00 (define @t530 () (@list @t390 @t370 @t381 @t23)) % 64.34/65.00 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t379)) % 64.34/65.00 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t381 @t383)) % 64.34/65.00 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t383)) % 64.34/65.00 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t21 @t325)) % 64.34/65.00 (define @t535 () (= @t304 @t21)) % 64.34/65.00 (define @t536 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t118)) % 64.34/65.00 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t160 @t536)) % 64.34/65.00 (define @t538 () (@var "V_R1_2" $$unsorted)) % 64.34/65.00 (define @t539 () (@var "V_R2_2" $$unsorted)) % 64.34/65.00 (define @t540 () (@list @t23 @t21 @t25)) % 64.34/65.00 (define @t541 () (tptp.hBOOL (tptp.hAPP @t360 @t33))) % 64.34/65.00 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t49 @t360)) % 64.34/65.00 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t339 @t81 @t118)) % 64.34/65.00 (define @t544 () (@list @t118 @t81 @t73 @t23)) % 64.34/65.00 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t23 @t73) @t2 @t1)) % 64.34/65.00 (define @t546 () (tptp.class_Orderings_Oord @t73)) % 64.34/65.00 (define @t547 () (tptp.class_Orderings_Olinorder @t23)) % 64.34/65.00 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t32 @t33)) % 64.34/65.00 (define @t549 () (tptp.class_Orderings_Oorder @t23)) % 64.34/65.00 (define @t550 () (= @t370 @t381)) % 64.34/65.00 (define @t551 () (= @t97 @t95)) % 64.34/65.00 (define @t552 () (tptp.class_Orderings_Oord @t23)) % 64.34/65.00 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t387 @t97)) % 64.34/65.00 (define @t554 () (= @t95 @t387)) % 64.34/65.00 (define @t555 () (@var "V_A_H_2" $$unsorted)) % 64.34/65.00 (define @t556 () (@var "V_X_2" $$unsorted)) % 64.34/65.00 (define @t557 () (@var "V_Y_2" $$unsorted)) % 64.34/65.00 (define @t558 () (= @t556 @t557)) % 64.34/65.00 (define @t559 () (tptp.c_member @t303 @t557 @t499)) % 64.34/65.00 (define @t560 () (tptp.c_member @t303 @t556 @t499)) % 64.34/65.00 (define @t561 () (tptp.c_member @t23 @t32 @t557)) % 64.34/65.00 (define @t562 () (tptp.c_member @t23 @t33 @t556)) % 64.34/65.00 (define @t563 () (@list @t32 @t33 @t557 @t556 @t81 @t25 @t23)) % 64.34/65.00 (define @t564 () (@var "T_1" $$unsorted)) % 64.34/65.00 (define @t565 () (@var "T_2" $$unsorted)) % 64.34/65.00 (define @t566 () (tptp.tc_fun @t565 @t564)) % 64.34/65.00 (define @t567 () (tptp.class_Lattices_Obounded__lattice @t564)) % 64.34/65.00 (define @t568 () (@list @t565 @t564)) % 64.34/65.00 (define @t569 () (tptp.class_Lattices_Olattice @t564)) % 64.34/65.00 (define @t570 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t33) @t32))) % 64.34/65.00 (define @t571 () (@list @t32 @t33)) % 64.34/65.00 (define @t572 () (tptp.c_member @t11 @t10 (tptp.hAPP tptp.v_F tptp.v_P_H____))) % 64.34/65.00 (define @t573 () (tptp.c_member @t11 @t13 (tptp.hAPP tptp.v_F tptp.v_P____))) % 64.34/65.00 (define @t574 () (not @t53)) % 64.34/65.00 (define @t575 () (not @t55)) % 64.34/65.00 (define @t576 () (not @t57)) % 64.34/65.00 (define @t577 () (not @t59)) % 64.34/65.00 (define @t578 () (= @t46 @t50)) % 64.34/65.00 (define @t579 () (= @t45 @t51)) % 64.34/65.00 (define @t580 () (= @t45 @t46)) % 64.34/65.00 (define @t581 () (or @t421 @t580 @t579 @t578 @t577 @t576 @t575 @t574 @t48)) % 64.34/65.00 (define @t582 () (or @t580 @t579 @t578 @t577 @t576 @t575 @t574 @t48)) % 64.34/65.00 (define @t583 () (or @t579 @t578 @t577 @t576 @t575 @t574 @t48)) % 64.34/65.00 (define @t584 () (or @t578 @t577 @t576 @t575 @t574 @t48)) % 64.34/65.00 (define @t585 () (or @t577 @t576 @t575 @t574 @t48)) % 64.34/65.00 (define @t586 () (or @t576 @t575 @t574 @t48)) % 64.34/65.00 (define @t587 () (or @t575 @t574 @t48)) % 64.34/65.00 (define @t588 () (not @t578)) % 64.34/65.00 (define @t589 () (=> @t588 @t60)) % 64.34/65.00 (define @t590 () (not @t579)) % 64.34/65.00 (define @t591 () (=> @t590 @t589)) % 64.34/65.00 (define @t592 () (not @t580)) % 64.34/65.00 (define @t593 () (=> @t592 @t591)) % 64.34/65.00 (define @t594 () (not @t421)) % 64.34/65.00 (define @t595 () (not @t573)) % 64.34/65.00 (define @t596 () (not @t16)) % 64.34/65.00 (define @t597 () (not @t20)) % 64.34/65.00 (define @t598 () (not @t19)) % 64.34/65.00 (define @t599 () (= tptp.v_b_H____ tptp.v_a_H____)) % 64.34/65.00 (define @t600 () (= tptp.v_b____ tptp.v_a____)) % 64.34/65.00 (define @t601 () (or @t600 @t599 (= tptp.v_b_H____ tptp.v_a____) (= tptp.v_a_H____ tptp.v_b____) @t598 @t597 @t596 @t595 @t572)) % 64.34/65.00 (define @t602 () (forall @t70 @t581)) % 64.34/65.00 (define @t603 () (or @t600 @t599 @t7 @t8 @t598 @t597 @t596 @t595 @t572)) % 64.34/65.00 (define @t604 () (not @t572)) % 64.34/65.00 (define @t605 () (or @t599 @t600 @t8 @t7 @t597 @t598 @t596 @t604 @t573)) % 64.34/65.00 (define @t606 () (not @t605)) % 64.34/65.00 (define @t607 () (forall @t15 (= @t12 @t14))) % 64.34/65.00 (define @t608 () (not @t607)) % 64.34/65.00 (define @t609 () (or @t599 @t600 @t8 @t7 @t597 @t598 @t608 @t604 @t573)) % 64.34/65.00 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 64.34/65.00 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 64.34/65.00 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 64.34/65.00 (assume @p4 (not (= tptp.v_a____ tptp.v_b____))) % 64.34/65.00 (assume @p5 (not @t7)) % 64.34/65.00 (assume @p6 (not @t8)) % 64.34/65.00 (assume @p7 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 64.34/65.00 (assume @p8 @t16) % 64.34/65.00 (assume @p9 @t19) % 64.34/65.00 (assume @p10 @t20) % 64.34/65.00 (assume @p11 (forall (@list @t22 @t23 @t21 @t25) (=> @t30 (=> @t29 (not @t27))))) % 64.34/65.00 (assume @p12 (forall @t43 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t31 @t36)) (and @t42 (=> @t37 @t40) (=> @t38 @t35))))) % 64.34/65.00 (assume @p13 (forall @t43 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Omktop @t31 @t36)) (and @t38 (=> @t41 @t40) (=> @t42 @t35))))) % 64.34/65.00 (assume @p14 @t71) % 64.34/65.00 (assume @p15 (forall (@list @t32 @t33 @t72 @t73 @t23) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t23 @t73 @t72) @t33) @t32)) (tptp.c_member @t75 @t74 @t72)))) % 64.34/65.00 (assume @p16 (forall (@list @t23 @t72 @t32 @t77 @t73 @t33 @t49) (=> @t80 (=> (tptp.c_member @t79 (tptp.c_Product__Type_OPair @t73 @t73 @t77 @t32) (tptp.hAPP @t72 @t33)) (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 (tptp.c_Product__Type_OPair @t23 @t73 @t33 @t77) @t74) @t76))))) % 64.34/65.00 (assume @p17 (forall @t85 (= (tptp.c_Nitpick_Orefl_H @t23 @t81) (forall @t6 @t84)))) % 64.34/65.00 (assume @p18 (forall (@list @t73 @t23 @t49) (= (forall (@list @t90) (tptp.hBOOL (tptp.hAPP @t49 @t90))) (forall @t89 (tptp.hBOOL (tptp.hAPP @t49 @t88)))))) % 64.34/65.00 (assume @p19 (forall (@list @t45 @t46 @t50 @t51 @t73 @t23) (= (= @t93 @t92) (and @t91 (= @t50 @t45))))) % 64.34/65.00 (assume @p20 (forall (@list @t94 @t96 @t95 @t97 @t73 @t23) (=> (= (tptp.c_Product__Type_OPair @t23 @t73 @t97 @t95) (tptp.c_Product__Type_OPair @t23 @t73 @t96 @t94)) (not (=> (= @t97 @t96) (not (= @t95 @t94))))))) % 64.34/65.00 (assume @p21 (forall @t100 (=> @t67 (=> @t99 @t98)))) % 64.34/65.00 (assume @p22 (forall (@list @t25 @t23 @t32 @t33) (=> @t39 (= @t102 @t101)))) % 64.34/65.00 (assume @p23 (forall (@list @t33 @t23 @t21 @t25) (=> @t30 (= @t102 @t103)))) % 64.34/65.00 (assume @p24 (forall @t105 (= @t102 @t104))) % 64.34/65.00 (assume @p25 (forall (@list @t50 @t51 @t106 @t23 @t107 @t73) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t73 @t107 @t23 @t106 @t108) (tptp.hAPP (tptp.hAPP @t106 @t51) @t50)))) % 64.34/65.00 (assume @p26 (forall @t117 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t110) (forall @t6 (=> @t116 (forall @t115 (=> (tptp.c_member @t18 @t109 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t89 (=> (forall @t15 (= @t114 (tptp.c_member @t11 @t111 (tptp.hAPP @t109 @t9)))) (= @t113 (tptp.c_member @t11 @t111 (tptp.hAPP @t110 @t109)))))))))))) % 64.34/65.00 (assume @p27 (forall @t117 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t110) (forall @t6 (=> @t116 (forall @t89 (=> (forall @t15 @t114) @t113))))))) % 64.34/65.00 (assume @p28 (forall (@list @t118 @t81 @t45 @t46 @t50 @t51 @t73 @t23) (= (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t93 @t92) (tptp.c_Wellfounded_Olex__prod @t23 @t73 @t81 @t118)) (or (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t46) @t81) (and @t91 (tptp.c_member @t79 (tptp.c_Product__Type_OPair @t73 @t73 @t50 @t45) @t118)))))) % 64.34/65.00 (assume @p29 (forall (@list @t119 @t110) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t110 @t119) (forall @t6 (=> @t116 (= @t112 (tptp.hAPP @t3 @t119))))))) % 64.34/65.00 (assume @p30 (forall (@list @t50 @t51 @t22 @t23 @t107 @t73) (= (tptp.c_Product__Type_Ointernal__split @t73 @t107 @t23 @t22 @t108) (tptp.hAPP (tptp.hAPP @t22 @t51) @t50)))) % 64.34/65.00 (assume @p31 (forall @t129 (= (tptp.c_Recdef_Owfrec__rel @t23 @t73 @t72 @t110 @t122 @t127) (exists @t128 (and (= @t127 @t125) @t124))))) % 64.34/65.00 (assume @p32 (forall (@list @t50 @t51 @t31) (=> @t130 (=> (tptp.c_member @t11 @t52 @t31) (not (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t50 @t51) @t31)))))) % 64.34/65.00 (assume @p33 (forall (@list @t32 @t33 @t31) (=> @t130 (=> @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)))))) % 64.34/65.00 (assume @p34 (forall (@list @t50 @t51 @t73 @t23 @t2) (=> @t132 @t131))) % 64.34/65.00 (assume @p35 (forall (@list @t2 @t73 @t81 @t51 @t33 @t23) (=> @t136 (= (tptp.hAPP @t134 @t33) @t133)))) % 64.34/65.00 (assume @p36 (forall (@list @t50 @t51 @t2 @t73 @t23) (=> @t131 @t132))) % 64.34/65.00 (assume @p37 (forall (@list @t50 @t51 @t2 @t23 @t107 @t73) (= (tptp.c_Product__Type_Ocurry @t73 @t107 @t23 @t2 @t51 @t50) (tptp.hAPP @t2 @t108)))) % 64.34/65.00 (assume @p38 (forall @t137 (=> @t130 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Omktop @t31 @t33) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.34/65.00 (assume @p39 (forall @t137 (=> @t130 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t31 @t33) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 64.34/65.00 (assume @p40 (forall (@list @t73 @t51 @t33 @t23 @t138 @t139) (=> (tptp.c_member @t83 @t135 @t139) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t23 @t73 @t138 @t139 @t51) @t33) (tptp.hAPP @t138 @t33))))) % 64.34/65.00 (assume @p41 (forall (@list @t1 @t33 @t81 @t2 @t73 @t23) (= (= (tptp.c_Recdef_Ocut @t23 @t73 @t2 @t81 @t33) (tptp.c_Recdef_Ocut @t23 @t73 @t1 @t81 @t33)) (forall @t142 (=> @t141 (= (tptp.hAPP @t2 @t140) (tptp.hAPP @t1 @t140))))))) % 64.34/65.00 (assume @p42 (forall @t146 (=> @t68 (=> @t130 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Oabove @t31 @t51 @t50)) (and @t40 (=> @t145 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t51 @t32) @t31)) (=> (not @t145) (and (=> @t143 (or @t144 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t33 @t51) @t31))) (=> (not @t143) @t35))))))))) % 64.34/65.00 (assume @p43 (forall @t146 (=> @t68 (=> @t130 (= (tptp.c_member @t11 @t34 (tptp.c_Arrow__Order__Mirabelle_Obelow @t31 @t51 @t50)) (and @t40 (=> @t147 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t33 @t50) @t31)) (=> (not @t147) (and (=> @t144 (or @t143 (tptp.c_member @t11 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t50 @t32) @t31))) (=> (not @t144) @t35))))))))) % 64.34/65.00 (assume @p44 (forall @t148 (=> @t40 (=> @t130 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Oabove @t31 @t33 @t32) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.34/65.00 (assume @p45 (forall @t148 (=> @t40 (=> @t130 (tptp.c_member @t17 (tptp.c_Arrow__Order__Mirabelle_Obelow @t31 @t33 @t32) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 64.34/65.00 (assume @p46 (forall (@list @t50 @t51) (=> @t68 (exists @t6 (and (tptp.c_member @t17 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t11 @t52 @t3)))))) % 64.34/65.00 (assume @p47 (forall @t129 (= (tptp.c_Recdef_Owfrec__rel @t23 @t73 @t72 @t110 @t122 @t126) (exists @t128 (and (= @t126 @t125) @t124))))) % 64.34/65.00 (assume @p48 (forall (@list @t1 @t110 @t73 @t72 @t33 @t23) (=> (forall @t123 (=> @t149 (tptp.c_Recdef_Owfrec__rel @t23 @t73 @t72 @t110 @t120 (tptp.hAPP @t1 @t120)))) (tptp.c_Recdef_Owfrec__rel @t23 @t73 @t72 @t110 @t33 (tptp.hAPP (tptp.hAPP @t110 @t1) @t33))))) % 64.34/65.00 (assume @p49 (forall @t153 (= @t152 (forall @t6 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t51) @t81) @t151))))) % 64.34/65.00 (assume @p50 (forall (@list @t51 @t81 @t50 @t23) (=> @t156 (=> @t155 @t152)))) % 64.34/65.00 (assume @p51 (forall (@list @t33 @t110 @t72 @t23 @t73) (= (tptp.c_Nitpick_Owf__wfrec_H @t73 @t23 @t72 @t110 @t33) (tptp.hAPP (tptp.hAPP @t110 (tptp.c_Recdef_Ocut @t73 @t23 (tptp.c_Nitpick_Owf__wfrec @t73 @t23 @t72 @t110) @t72 @t33)) @t33)))) % 64.34/65.00 (assume @p52 (forall (@list @t72 @t33 @t23) (=> (not (tptp.c_member @t23 @t33 @t157)) (not (forall @t123 (=> @t149 (tptp.c_member @t23 @t120 @t157))))))) % 64.34/65.00 (assume @p53 (forall @t159 (=> (forall @t142 (=> @t141 (tptp.c_member @t23 @t140 @t150))) @t158))) % 64.34/65.00 (assume @p54 (forall (@list @t81 @t51 @t50 @t23) (=> @t162 (=> @t152 @t156)))) % 64.34/65.00 (assume @p55 (forall (@list @t50 @t81 @t51 @t23) (=> @t152 (=> @t162 @t156)))) % 64.34/65.00 (assume @p56 (exists (@list @t163) (tptp.c_member @t17 @t163 tptp.c_Arrow__Order__Mirabelle_OLin))) % 64.34/65.00 (assume @p57 (forall @t164 (= (tptp.c_member @t23 @t33 (tptp.c_fequal @t32)) @t39))) % 64.34/65.00 (assume @p58 (forall (@list @t21 @t50 @t73 @t25 @t51 @t23) (=> @t98 (=> @t167 @t166)))) % 64.34/65.00 (assume @p59 (forall @t85 (= (tptp.c_Relation_Oirrefl @t23 @t81) (forall @t6 (not @t84))))) % 64.34/65.00 (assume @p60 (forall @t169 (=> @t168 (tptp.c_member @t73 @t50 (tptp.c_Relation_ORange @t23 @t73 @t81))))) % 64.34/65.00 (assume @p61 (forall @t172 (= (tptp.c_member @t23 @t51 @t171) (exists @t142 (tptp.c_member @t170 (tptp.c_Product__Type_OPair @t73 @t23 @t140 @t51) @t81))))) % 64.34/65.00 (assume @p62 (forall @t173 (= @t166 (and @t98 @t167)))) % 64.34/65.00 (assume @p63 (forall @t173 (=> @t166 @t98))) % 64.34/65.00 (assume @p64 (forall @t173 (=> @t166 @t167))) % 64.34/65.00 (assume @p65 (forall @t173 (=> @t166 (not (=> @t98 (not @t167)))))) % 64.34/65.00 (assume @p66 (forall @t153 (tptp.c_member @t83 @t174 @t160))) % 64.34/65.00 (assume @p67 (forall @t177 (=> @t176 (tptp.c_member @t83 @t175 @t160)))) % 64.34/65.00 (assume @p68 (forall @t183 (=> @t155 @t182))) % 64.34/65.00 (assume @p69 (forall @t183 (=> @t185 (=> @t184 @t179)))) % 64.34/65.00 (assume @p70 (forall @t183 (=> @t185 @t182))) % 64.34/65.00 (assume @p71 (forall (@list @t81 @t73 @t50 @t23) (=> (tptp.c_member @t23 @t50 @t171) (not (forall @t6 (not @t186)))))) % 64.34/65.00 (assume @p72 (forall (@list @t21 @t25 @t22 @t73 @t23) (=> (tptp.c_member @t75 @t22 @t165) (not (forall @t6 (=> @t188 (forall @t142 (=> (tptp.c_member @t73 @t140 (tptp.hAPP @t21 @t3)) (not (= @t22 @t187)))))))))) % 64.34/65.00 (assume @p73 (forall @t191 (= (tptp.c_member @t83 @t190 @t189) (and @t39 @t102)))) % 64.34/65.00 (assume @p74 (forall @t100 (=> @t67 (=> @t98 (tptp.c_member @t83 @t154 @t189))))) % 64.34/65.00 (assume @p75 (forall @t192 (= (tptp.c_Relation_ORange @t23 @t23 @t189) @t25))) % 64.34/65.00 (assume @p76 (forall @t85 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t160) @t160))) % 64.34/65.00 (assume @p77 (forall (@list @t25 @t22 @t23) (=> (tptp.c_member @t83 @t22 @t189) (not (forall @t6 (=> @t188 (not (= @t22 @t82)))))))) % 64.34/65.00 (assume @p78 (forall (@list @t36 @t32 @t33 @t81 @t23) (=> (tptp.c_Relation_Osingle__valued @t23 @t23 @t81) (=> @t196 (=> @t195 (or (tptp.c_member @t83 @t193 @t160) (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t36 @t32) @t160))))))) % 64.34/65.00 (assume @p79 (forall (@list @t32 @t72 @t33 @t23) (=> (not (tptp.c_member @t23 @t33 (tptp.c_Relation_ODomain @t23 @t23 @t72))) (= @t198 @t39)))) % 64.34/65.00 (assume @p80 (forall @t169 (=> @t168 @t200))) % 64.34/65.00 (assume @p81 (forall @t217 (=> @t216 (=> @t214 (=> (forall @t89 (=> (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t213 @t88) @t210) (forall (@list @t205 @t204) (=> @t209 (=> @t207 @t206))))) @t203))))) % 64.34/65.00 (assume @p82 (forall @t217 (=> @t216 (=> @t203 (=> (forall (@list @t87 @t86 @t205 @t204) (=> @t209 (=> (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t208 @t215) @t210) (=> @t206 @t207)))) @t214))))) % 64.34/65.00 (assume @p83 (forall (@list @t81 @t218 @t219 @t221 @t222 @t73 @t23) (=> (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t223 @t220) @t210) (=> (not (= @t223 @t220)) (not (forall @t89 (=> (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t223 @t88) @t81) (not (tptp.c_member @t78 (tptp.c_Product__Type_OPair @t75 @t75 @t88 @t220) @t210))))))))) % 64.34/65.00 (assume @p84 (forall @t225 (=> @t185 (=> @t68 (not (forall @t142 (=> @t224 (not (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t140 @t50) @t81))))))))) % 64.34/65.00 (assume @p85 (forall @t192 (= (tptp.c_Relation_ODomain @t23 @t23 @t189) @t25))) % 64.34/65.00 (assume @p86 (forall @t192 (tptp.c_Relation_Osingle__valued @t23 @t23 @t189))) % 64.34/65.00 (assume @p87 (forall @t229 (= @t228 @t227))) % 64.34/65.00 (assume @p88 (forall (@list @t36 @t32 @t33 @t81 @t73 @t23) (=> @t228 (=> (tptp.c_member @t75 @t74 @t81) (=> (tptp.c_member @t75 (tptp.c_Product__Type_OPair @t23 @t73 @t33 @t36) @t81) @t41))))) % 64.34/65.00 (assume @p89 (forall @t172 (= @t200 (exists @t142 @t230)))) % 64.34/65.00 (assume @p90 (forall @t172 (=> @t200 (not (forall @t142 (not @t230)))))) % 64.34/65.00 (assume @p91 (forall @t229 (=> @t227 @t228))) % 64.34/65.00 (assume @p92 (forall @t236 (=> @t185 (=> @t235 (=> (forall @t142 (=> @t224 (forall @t123 (=> @t234 (=> @t233 @t232))))) @t231))))) % 64.34/65.00 (assume @p93 (forall @t236 (=> @t185 (=> @t231 (=> (forall (@list @t140 @t120) (=> @t234 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t120 @t50) @t160) (=> @t232 @t233)))) @t235))))) % 64.34/65.00 (assume @p94 (forall @t239 (=> @t195 (=> @t38 (not (forall @t142 (=> @t238 (not (tptp.c_member @t83 @t237 @t160))))))))) % 64.34/65.00 (assume @p95 (forall @t242 (= @t241 (forall @t6 (=> @t188 (forall @t115 (=> (tptp.c_member @t23 @t109 @t25) (=> @t240 (or (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t109) @t81) (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t109 @t3) @t81)))))))))) % 64.34/65.00 (assume @p96 (forall (@list @t2 @t81 @t73 @t32 @t33 @t23) (= (tptp.c_member @t83 @t190 (tptp.c_Relation_Oinv__image @t73 @t23 @t81 @t2)) (tptp.c_member @t79 (tptp.c_Product__Type_OPair @t73 @t73 @t133 (tptp.hAPP @t2 @t32)) @t81)))) % 64.34/65.00 (assume @p97 (forall @t245 (=> @t244 (=> @t98 @t243)))) % 64.34/65.00 (assume @p98 (forall @t192 (tptp.c_Relation_Orefl__on @t23 @t25 @t189))) % 64.34/65.00 (assume @p99 (forall @t247 (=> @t244 (=> @t246 @t101)))) % 64.34/65.00 (assume @p100 (forall @t247 (=> @t244 (=> @t246 @t102)))) % 64.34/65.00 (assume @p101 (forall @t225 (=> @t249 @t185))) % 64.34/65.00 (assume @p102 (forall @t251 (tptp.c_member @t83 @t174 @t250))) % 64.34/65.00 (assume @p103 (forall @t254 (=> @t253 (=> @t155 (=> @t252 @t67))))) % 64.34/65.00 (assume @p104 (forall @t85 (= @t253 @t259))) % 64.34/65.00 (assume @p105 (forall @t265 (=> @t264 @t261))) % 64.34/65.00 (assume @p106 (forall @t266 (=> @t261 @t264))) % 64.34/65.00 (assume @p107 (forall (@list @t36 @t81 @t32 @t33 @t23) (=> @t196 (=> (tptp.c_member @t83 @t193 @t248) @t267)))) % 64.34/65.00 (assume @p108 (forall @t225 (=> @t155 @t249))) % 64.34/65.00 (assume @p109 (forall @t85 (= @t269 @t268))) % 64.34/65.00 (assume @p110 (forall @t270 (tptp.c_Relation_Oantisym @t23 @t250))) % 64.34/65.00 (assume @p111 (forall @t270 (= (tptp.c_Relation_Oconverse @t23 @t23 @t250) @t250))) % 64.34/65.00 (assume @p112 (forall @t272 (= (tptp.c_Relation_Oconverse @t73 @t23 @t271) @t81))) % 64.34/65.00 (assume @p113 (forall @t85 (= (tptp.c_Relation_Oantisym @t23 @t262) @t253))) % 64.34/65.00 (assume @p114 (forall @t265 (=> @t274 @t273))) % 64.34/65.00 (assume @p115 (forall @t265 (=> @t273 @t274))) % 64.34/65.00 (assume @p116 (forall @t177 (=> @t176 @t275))) % 64.34/65.00 (assume @p117 (forall @t277 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t276) @t197))) % 64.34/65.00 (assume @p118 (forall @t277 (= (tptp.c_Transitive__Closure_Otrancl @t23 @t197) @t197))) % 64.34/65.00 (assume @p119 (forall @t85 (= @t263 (tptp.c_Relation_Oconverse @t23 @t23 @t160)))) % 64.34/65.00 (assume @p120 (forall @t85 (= (tptp.c_Relation_ODomain @t23 @t23 @t248) @t278))) % 64.34/65.00 (assume @p121 (forall @t85 (= (tptp.c_Relation_ORange @t23 @t23 @t248) @t279))) % 64.34/65.00 (assume @p122 (forall @t242 (= (tptp.c_Relation_Orefl__on @t23 @t25 @t262) @t244))) % 64.34/65.00 (assume @p123 (forall @t192 (= (tptp.c_Relation_Oconverse @t23 @t23 @t189) @t189))) % 64.34/65.00 (assume @p124 (forall (@list @t2 @t72 @t73 @t23) (= (tptp.c_Relation_Oconverse @t23 @t23 (tptp.c_Relation_Oinv__image @t73 @t23 @t72 @t2)) (tptp.c_Relation_Oinv__image @t73 @t23 (tptp.c_Relation_Oconverse @t73 @t73 @t72) @t2)))) % 64.34/65.00 (assume @p125 (forall @t242 (= (tptp.c_Relation_Ototal__on @t23 @t25 @t262) @t241))) % 64.34/65.00 (assume @p126 (forall @t270 (tptp.c_Relation_Osingle__valued @t23 @t23 @t250))) % 64.34/65.00 (assume @p127 (forall (@list @t22 @t72 @t50 @t51 @t23) (=> (tptp.c_member @t83 @t154 @t72) (=> (tptp.c_member @t83 @t180 @t72) (tptp.c_member @t83 @t178 @t276))))) % 64.34/65.00 (assume @p128 (forall @t183 (=> @t155 @t281))) % 64.34/65.00 (assume @p129 (forall @t183 (=> @t249 @t282))) % 64.34/65.00 (assume @p130 (forall @t183 (=> @t249 @t281))) % 64.34/65.00 (assume @p131 (forall @t169 (= @t286 @t284))) % 64.34/65.00 (assume @p132 (forall @t169 (=> @t168 (tptp.c_member @t170 @t283 @t271)))) % 64.34/65.00 (assume @p133 (forall @t169 (=> @t286 @t284))) % 64.34/65.00 (assume @p134 (forall @t192 (tptp.c_Relation_Oantisym @t23 @t189))) % 64.34/65.00 (assume @p135 (forall @t272 (= (tptp.c_Relation_ORange @t73 @t23 @t271) @t199))) % 64.34/65.00 (assume @p136 (forall @t229 (= @t287 @t171))) % 64.34/65.00 (assume @p137 (forall @t272 (= @t171 @t287))) % 64.34/65.00 (assume @p138 (forall @t288 (= (tptp.c_member @t83 @t154 @t250) @t67))) % 64.34/65.00 (assume @p139 (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) @t130))) % 64.34/65.00 (assume @p140 (forall @t290 (= @t198 (or @t39 (and @t40 @t289))))) % 64.34/65.00 (assume @p141 (forall @t183 (=> @t155 @t291))) % 64.34/65.00 (assume @p142 (forall (@list @t72 @t50 @t51 @t23) (=> (tptp.c_member @t83 @t154 @t197) (or @t67 (and @t68 (tptp.c_member @t83 @t154 @t276)))))) % 64.34/65.00 (assume @p143 (forall @t183 (=> @t185 @t282))) % 64.34/65.00 (assume @p144 (forall @t183 (=> @t249 @t291))) % 64.34/65.00 (assume @p145 (forall @t290 (=> @t289 (exists @t123 (and (tptp.c_member @t83 @t293 @t72) (tptp.c_member @t83 @t292 @t197)))))) % 64.34/65.00 (assume @p146 (forall @t290 (=> @t289 (exists @t123 (and (tptp.c_member @t83 @t293 @t197) (tptp.c_member @t83 @t292 @t72)))))) % 64.34/65.00 (assume @p147 (forall (@list @t175 @t23) (=> (tptp.c_member @t83 @t175 @t250) (not (forall @t6 (not (= @t175 @t82))))))) % 64.34/65.00 (assume @p148 (forall @t85 (= @t295 @t294))) % 64.34/65.00 (assume @p149 (forall (@list @t81 @t296 @t73 @t23) (=> (tptp.c_member @t75 @t296 @t285) (not (forall @t226 (=> (= @t296 (tptp.c_Product__Type_OPair @t23 @t73 @t140 @t3)) (not (tptp.c_member @t170 (tptp.c_Product__Type_OPair @t73 @t23 @t3 @t140) @t81)))))))) % 64.34/65.00 (assume @p150 (forall @t85 (=> @t259 @t253))) % 64.34/65.00 (assume @p151 (forall (@list @t32 @t33 @t81 @t23) (=> @t294 (=> @t246 @t40)))) % 64.34/65.00 (assume @p152 (forall @t85 (= (tptp.c_Wellfounded_Oacyclic @t23 @t262) @t295))) % 64.34/65.00 (assume @p153 (forall @t85 (=> @t295 (tptp.c_Relation_Oantisym @t23 @t160)))) % 64.34/65.00 (assume @p154 (forall @t85 (=> @t294 @t295))) % 64.34/65.00 (assume @p155 (forall @t266 (= (tptp.c_Wellfounded_Oacyclic @t23 @t298) (and @t295 @t297)))) % 64.34/65.00 (assume @p156 (forall @t225 (=> @t249 (=> (not @t155) (not (forall (@list @t299) (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t299) @t248) (not (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t299 @t50) @t81))))))))) % 64.34/65.00 (assume @p157 (forall @t239 (=> @t267 (=> (not (tptp.c_member @t83 @t194 @t81)) (not (forall @t142 (=> @t238 (not (tptp.c_member @t83 @t237 @t248))))))))) % 64.34/65.00 (assume @p158 (forall @t85 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t248 @t250) @t160))) % 64.34/65.00 (assume @p159 (forall @t85 (= (tptp.c_Transitive__Closure_Otrancl @t23 @t301) @t160))) % 64.34/65.00 (assume @p160 (forall @t306 (=> @t305 (=> (not @t104) @t302)))) % 64.34/65.00 (assume @p161 (forall (@list @t23 @t25 @t33 @t21) (=> (=> @t307 @t104) @t305))) % 64.34/65.00 (assume @p162 (forall @t309 (=> @t308 (=> @t68 @t98)))) % 64.34/65.00 (assume @p163 (forall @t313 (=> (=> (not @t312) @t67) @t311))) % 64.34/65.00 (assume @p164 (forall @t315 (=> @t314 @t27))) % 64.34/65.00 (assume @p165 (forall @t316 (=> (=> @t28 @t26) @t314))) % 64.34/65.00 (assume @p166 (forall @t319 (=> @t244 (=> @t318 (tptp.c_Relation_Orefl__on @t23 @t304 @t317))))) % 64.34/65.00 (assume @p167 (forall @t192 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t25) @t25))) % 64.34/65.00 (assume @p168 (forall @t321 (= @t304 @t320))) % 64.34/65.00 (assume @p169 (forall @t105 (= (tptp.c_Set_Oinsert @t23 @t33 @t322) @t322))) % 64.34/65.00 (assume @p170 (forall @t321 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t304) @t304))) % 64.34/65.00 (assume @p171 (forall @t191 (= (tptp.c_Set_Oinsert @t23 @t33 @t323) (tptp.c_Set_Oinsert @t23 @t32 @t322)))) % 64.34/65.00 (assume @p172 (forall (@list @t21 @t51 @t25 @t23) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t324) (tptp.c_Set_Oinsert @t23 @t51 @t304)))) % 64.34/65.00 (assume @p173 (forall @t329 (= @t328 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t21 @t326)))) % 64.34/65.00 (assume @p174 (forall (@list @t325 @t21 @t51 @t23) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t324 @t325) (tptp.c_Set_Oinsert @t23 @t51 @t327)))) % 64.34/65.00 (assume @p175 (forall @t329 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t304 @t325) @t328))) % 64.34/65.00 (assume @p176 (forall @t333 (= (exists @t6 (and @t332 @t330)) (or (exists @t6 (and @t188 @t330)) (exists @t6 (and @t331 @t330)))))) % 64.34/65.00 (assume @p177 (forall @t333 (= (forall @t6 (=> @t332 @t330)) (and (forall @t6 (=> @t188 @t330)) (forall @t6 (=> @t331 @t330)))))) % 64.34/65.00 (assume @p178 (forall (@list @t33 @t25 @t32 @t23) (= (tptp.hBOOL (tptp.hAPP @t323 @t33)) (or (= @t32 @t33) @t104)))) % 64.34/65.00 (assume @p179 (forall (@list @t21 @t25 @t23 @t73) (= (tptp.c_Relation_ORange @t73 @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t336 @t25 @t21)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t335 @t334)))) % 64.34/65.00 (assume @p180 (forall (@list @t21 @t23 @t33 @t25) (=> @t104 @t305))) % 64.34/65.00 (assume @p181 (forall (@list @t25 @t23 @t33 @t21) (=> @t302 @t305))) % 64.34/65.00 (assume @p182 (forall @t340 (= (tptp.c_Relation_ODomain @t23 @t73 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t339 @t25 @t21)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t338 @t337)))) % 64.34/65.00 (assume @p183 (forall @t169 (= (tptp.c_Relation_ODomain @t23 @t73 (tptp.c_Set_Oinsert @t75 @t93 @t81)) (tptp.c_Set_Oinsert @t23 @t51 @t199)))) % 64.34/65.00 (assume @p184 (forall (@list @t81 @t50 @t51 @t23 @t73) (= (tptp.c_Relation_ORange @t73 @t23 (tptp.c_Set_Oinsert @t170 @t341 @t81)) (tptp.c_Set_Oinsert @t23 @t50 @t171)))) % 64.34/65.00 (assume @p185 (forall @t315 (= @t314 (or @t26 @t24)))) % 64.34/65.00 (assume @p186 (forall @t315 (=> @t26 @t314))) % 64.34/65.00 (assume @p187 (forall @t316 (=> @t24 @t314))) % 64.34/65.00 (assume @p188 (forall (@list @t21 @t51 @t23) (tptp.c_member @t23 @t51 @t324))) % 64.34/65.00 (assume @p189 (forall @t309 (= @t308 (or @t67 @t98)))) % 64.34/65.00 (assume @p190 (forall @t344 (=> @t343 (=> (not @t103) (= (= @t322 @t342) @t30))))) % 64.34/65.00 (assume @p191 (forall @t313 (=> @t312 @t311))) % 64.34/65.00 (assume @p192 (forall @t346 (=> @t98 (= @t345 @t25)))) % 64.34/65.00 (assume @p193 (forall @t351 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t350) @t348))) % 64.34/65.00 (assume @p194 (forall @t353 (= (tptp.c_Relation_Oconverse @t73 @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t336 @t81 @t118)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t339 @t285 @t352)))) % 64.34/65.00 (assume @p195 (forall (@list @t347 @t72 @t33 @t23) (=> (or (tptp.c_member @t83 @t33 @t197) (tptp.c_member @t83 @t33 @t349)) (tptp.c_member @t83 @t33 @t348)))) % 64.34/65.00 (assume @p196 (forall @t277 (= (tptp.c_Transitive__Closure_Ortrancl @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t72 @t250)) @t197))) % 64.34/65.00 (assume @p197 (forall @t277 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t300 @t197 @t250) @t197))) % 64.34/65.00 (assume @p198 (forall @t85 (= (tptp.c_Relation_Oantisym @t23 @t301) @t253))) % 64.34/65.00 (assume @p199 (forall @t357 (=> @t356 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t355 @t2 @t1) @t33) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t133 @t354))))) % 64.34/65.00 (assume @p200 (forall @t362 (=> @t361 (=> (forall @t6 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t3) @t358) (forall @t142 (=> (tptp.c_member @t83 @t258 @t360) @t255)))) @t359)))) % 64.34/65.00 (assume @p201 (forall @t362 (=> @t361 (=> (forall @t6 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t3 @t50) @t358) (forall @t142 (=> (tptp.c_member @t83 @t256 @t360) (= @t140 @t3))))) @t359)))) % 64.34/65.00 (assume @p202 (forall @t266 (= (tptp.c_Wellfounded_Owf @t23 @t298) (and @t363 @t297)))) % 64.34/65.00 (assume @p203 (forall @t85 (= @t364 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t278 @t279)))) % 64.34/65.00 (assume @p204 (forall @t85 (tptp.c_Relation_Orefl__on @t23 @t365 @t301))) % 64.34/65.00 (assume @p205 (forall @t366 (tptp.hBOOL (tptp.hAPP @t365 @t33)))) % 64.34/65.00 (assume @p206 (forall @t366 (tptp.c_member @t23 @t33 @t365))) % 64.34/65.00 (assume @p207 (forall (@list @t2 @t73 @t81 @t23) (=> @t363 (tptp.c_Wellfounded_Owf @t73 (tptp.c_Relation_Oinv__image @t23 @t73 @t81 @t2))))) % 64.34/65.00 (assume @p208 (forall (@list @t367 @t73 @t368 @t23) (=> (tptp.c_Wellfounded_Owf @t23 @t368) (=> (tptp.c_Wellfounded_Owf @t73 @t367) (tptp.c_Wellfounded_Owf @t75 (tptp.c_Wellfounded_Olex__prod @t23 @t73 @t368 @t367)))))) % 64.34/65.00 (assume @p209 (forall @t372 (=> @t371 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t369) @t369)))) % 64.34/65.00 (assume @p210 (forall @t372 (=> @t371 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t369 @t370) @t369)))) % 64.34/65.00 (assume @p211 (forall @t192 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t365) @t365))) % 64.34/65.00 (assume @p212 (forall @t373 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t365 @t21) @t365))) % 64.34/65.00 (assume @p213 (forall @t85 (=> @t363 (tptp.c_Wellfounded_Owf @t23 @t248)))) % 64.34/65.00 (assume @p214 (forall @t85 (=> @t363 @t295))) % 64.34/65.00 (assume @p215 (forall @t85 (= (tptp.c_Relation_OField @t23 @t262) @t364))) % 64.34/65.00 (assume @p216 (forall (@list @t51 @t81 @t23) (=> @t363 (not @t243)))) % 64.34/65.00 (assume @p217 (forall (@list @t33 @t51 @t81 @t23) (=> @t363 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t51 @t33) @t81) (not @t136))))) % 64.34/65.00 (assume @p218 (forall @t374 (=> @t363 @t158))) % 64.34/65.00 (assume @p219 (forall @t85 (= @t363 (forall @t6 @t151)))) % 64.34/65.00 (assume @p220 (forall @t85 (=> (tptp.c_Wellfounded_Owf @t23 @t262) (tptp.c_Wellfounded_Owf @t23 @t268)))) % 64.34/65.00 (assume @p221 (forall @t277 (= (tptp.c_Relation_ODomain @t23 @t23 @t197) @t365))) % 64.34/65.00 (assume @p222 (forall @t277 (= (tptp.c_Relation_ORange @t23 @t23 @t197) @t365))) % 64.34/65.00 (assume @p223 (forall @t85 (tptp.c_Relation_Orefl__on @t23 @t365 @t160))) % 64.34/65.00 (assume @p224 (forall @t270 (= (tptp.c_Relation_ODomain @t23 @t23 @t250) @t365))) % 64.34/65.00 (assume @p225 (forall @t270 (= (tptp.c_Relation_ORange @t23 @t23 @t250) @t365))) % 64.34/65.00 (assume @p226 (forall @t270 (tptp.c_Relation_Orefl__on @t23 @t365 @t250))) % 64.34/65.00 (assume @p227 (forall @t376 (= (tptp.c_Relation_OField @t23 @t317) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t364 @t375)))) % 64.34/65.00 (assume @p228 (forall @t378 (=> @t377 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t97 @t97) @t97)))) % 64.34/65.00 (assume @p229 (forall @t372 (=> @t377 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t370) @t370)))) % 64.34/65.00 (assume @p230 (forall @t380 (=> @t377 (= @t379 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t95 @t97))))) % 64.34/65.00 (assume @p231 (forall @t385 (=> @t356 @t384))) % 64.34/65.00 (assume @p232 (forall @t385 (=> @t377 @t384))) % 64.34/65.00 (assume @p233 (forall @t380 (=> @t377 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t97 @t379) @t379)))) % 64.34/65.00 (assume @p234 (forall @t385 (=> @t356 @t386))) % 64.34/65.00 (assume @p235 (forall @t385 (=> @t377 @t386))) % 64.34/65.00 (assume @p236 (forall @t389 (=> @t377 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t95 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t97 @t387)) @t388)))) % 64.34/65.00 (assume @p237 (forall @t395 (=> @t356 @t394))) % 64.34/65.00 (assume @p238 (forall @t395 (=> @t377 @t394))) % 64.34/65.00 (assume @p239 (forall @t396 (=> @t377 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t379 @t387) @t388)))) % 64.34/65.00 (assume @p240 (forall @t395 (=> @t356 @t397))) % 64.34/65.00 (assume @p241 (forall @t395 (=> @t377 @t397))) % 64.34/65.00 (assume @p242 (forall (@list @t2 @t23) (tptp.c_Wellfounded_Owf @t23 (tptp.c_Wellfounded_Omeasure @t23 @t2)))) % 64.34/65.00 (assume @p243 (forall @t399 (=> @t398 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t355) @t33) @t369)))) % 64.34/65.00 (assume @p244 (forall (@list @t73 @t23 @t400 @t139) (=> (tptp.c_Wellfounded_Owf @t23 @t139) (forall @t6 (= (tptp.hAPP @t401 @t3) (tptp.hAPP (tptp.hAPP @t400 (tptp.c_Recdef_Ocut @t23 @t73 @t401 @t139 @t3)) @t3)))))) % 64.34/65.00 (assume @p245 (forall (@list @t51 @t402 @t73 @t81 @t23) (=> @t363 (= (tptp.hAPP @t403 @t51) (tptp.hAPP (tptp.hAPP @t402 (tptp.c_Recdef_Ocut @t23 @t73 @t403 @t81 @t51)) @t51))))) % 64.34/65.00 (assume @p246 (forall (@list @t51 @t402 @t81 @t73 @t23 @t2) (=> (= @t2 @t403) (=> @t363 (= (tptp.hAPP @t2 @t51) (tptp.hAPP (tptp.hAPP @t402 @t134) @t51)))))) % 64.34/65.00 (assume @p247 (forall (@list @t23 @t72 @t73 @t49) (=> (forall @t6 (=> @t330 (tptp.c_Wellfounded_Owf @t73 (tptp.hAPP @t72 @t3)))) (tptp.c_Wellfounded_Owf @t75 @t76)))) % 64.34/65.00 (assume @p248 (forall @t225 (= (tptp.c_Relation_OField @t23 (tptp.c_Set_Oinsert @t83 @t154 @t81)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t406 @t364)))) % 64.34/65.00 (assume @p249 (forall @t85 (= @t363 (forall (@list @t407) (=> (exists @t6 @t408) (exists @t6 (and @t408 (forall @t142 (=> @t257 (not (tptp.c_member @t23 @t140 @t407))))))))))) % 64.34/65.00 (assume @p250 (forall @t277 (=> @t409 (tptp.c_Wellfounded_OwfP @t23 (tptp.c_FunDef_Oin__rel @t23 @t23 @t72))))) % 64.34/65.00 (assume @p251 (forall @t270 (tptp.c_Wellfounded_Owf @t23 @t410))) % 64.34/65.00 (assume @p252 (forall @t251 (not (tptp.c_member @t23 @t51 @t404)))) % 64.34/65.00 (assume @p253 (forall @t270 (not (= @t365 @t404)))) % 64.34/65.00 (assume @p254 (forall @t399 (=> @t412 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t355) @t33) @t411)))) % 64.34/65.00 (assume @p255 (forall @t270 (= (tptp.c_Transitive__Closure_Otrancl @t23 @t410) @t410))) % 64.34/65.00 (assume @p256 (forall @t270 (tptp.c_Relation_Oantisym @t23 @t410))) % 64.34/65.00 (assume @p257 (forall (@list @t73 @t23) (= (tptp.c_Relation_ODomain @t23 @t73 @t413) @t404))) % 64.34/65.00 (assume @p258 (forall @t229 (= (= @t199 @t404) (= @t81 @t413)))) % 64.34/65.00 (assume @p259 (forall @t270 (= (tptp.c_Relation_OId__on @t23 @t404) @t410))) % 64.34/65.00 (assume @p260 (forall (@list @t21 @t73 @t23) (= (tptp.c_Product__Type_OSigma @t23 @t73 @t404 @t21) @t413))) % 64.34/65.00 (assume @p261 (forall @t272 (= (= @t171 @t404) (= @t81 @t414)))) % 64.34/65.00 (assume @p262 (forall (@list @t23 @t73) (= (tptp.c_Relation_ORange @t73 @t23 @t414) @t404))) % 64.34/65.00 (assume @p263 (forall @t270 (tptp.c_Relation_Orefl__on @t23 @t404 @t410))) % 64.34/65.00 (assume @p264 (forall @t373 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t404 @t21) @t21))) % 64.34/65.00 (assume @p265 (forall @t192 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t404) @t25))) % 64.34/65.00 (assume @p266 (forall @t321 (= (= @t304 @t404) (and @t415 (= @t21 @t404))))) % 64.34/65.00 (assume @p267 (forall @t346 (not (= @t404 @t345)))) % 64.34/65.00 (assume @p268 (forall @t346 (not (= @t345 @t404)))) % 64.34/65.00 (assume @p269 (forall (@list @t416 @t22 @t50 @t51 @t23) (= (= @t406 (tptp.c_Set_Oinsert @t23 @t22 (tptp.c_Set_Oinsert @t23 @t416 @t404))) (or (and (= @t51 @t22) (= @t50 @t416)) (and (= @t51 @t416) (= @t50 @t22)))))) % 64.34/65.00 (assume @p270 (forall @t288 (=> (= @t417 @t405) @t67))) % 64.34/65.00 (assume @p271 (forall @t192 (= (forall @t6 (not @t188)) @t415))) % 64.34/65.00 (assume @p272 (forall @t192 (= (exists @t6 @t188) (not @t415)))) % 64.34/65.00 (assume @p273 (forall (@list @t22 @t23) (not (tptp.c_member @t23 @t22 @t404)))) % 64.34/65.00 (assume @p274 (forall (@list @t51 @t23 @t25) (=> @t415 @t418))) % 64.34/65.00 (assume @p275 (forall @t270 (= (tptp.c_Relation_OField @t23 @t410) @t404))) % 64.34/65.00 (assume @p276 (forall @t85 (tptp.c_Relation_Ototal__on @t23 @t404 @t81))) % 64.34/65.00 (assume @p277 (forall @t164 (=> @t420 (= (= @t419 @t411) (and (= @t33 @t411) (= @t32 @t411)))))) % 64.34/65.00 (assume @p278 (forall @t372 (=> @t420 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t411) @t370)))) % 64.34/65.00 (assume @p279 (forall @t372 (=> @t420 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t411 @t370) @t370)))) % 64.34/65.00 (assume @p280 (forall @t423 (=> @t422 @t421))) % 64.34/65.00 (assume @p281 (forall @t423 (= @t422 @t421))) % 64.34/65.00 (assume @p282 (forall @t346 (= @t345 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t417 @t25)))) % 64.34/65.00 (assume @p283 (forall @t270 (= (tptp.c_Transitive__Closure_Ortrancl @t23 @t410) @t250))) % 64.34/65.00 (assume @p284 (forall @t366 (= (tptp.c_Set_Othe__elem @t23 @t424) @t33))) % 64.34/65.00 (assume @p285 (forall @t376 (=> @t363 (=> (tptp.c_Wellfounded_Owf @t23 @t118) (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t278 (tptp.c_Relation_ORange @t23 @t23 @t118)) @t404) (tptp.c_Wellfounded_Owf @t23 @t317)))))) % 64.34/65.00 (assume @p286 (forall @t374 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t300 @t262 @t160) @t410) (not (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t23 @t23 @t33 @t33) @t248))))) % 64.34/65.00 (assume @p287 (forall (@list @t51 @t81 @t73 @t50 @t23) (= (tptp.c_member @t23 @t50 (tptp.c_Relation_OImage @t73 @t23 @t81 (tptp.c_Set_Oinsert @t73 @t51 @t426))) (tptp.c_member @t170 @t341 @t81)))) % 64.34/65.00 (assume @p288 (forall (@list @t23 @t21 @t33 @t25) (=> @t104 (=> @t302 @t428)))) % 64.34/65.00 (assume @p289 (forall @t306 (=> @t428 (not (=> @t104 @t307))))) % 64.34/65.00 (assume @p290 (forall @t315 (=> @t429 (not @t29)))) % 64.34/65.00 (assume @p291 (forall @t315 (=> @t26 (=> @t24 @t429)))) % 64.34/65.00 (assume @p292 (forall (@list @t72 @t23 @t73) (= (tptp.c_Relation_OImage @t73 @t23 @t72 @t426) @t404))) % 64.34/65.00 (assume @p293 (forall @t321 (= (= @t427 @t404) (forall @t6 (=> @t188 (forall @t115 (=> (tptp.c_member @t23 @t109 @t21) @t240))))))) % 64.34/65.00 (assume @p294 (forall @t192 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t404) @t404))) % 64.34/65.00 (assume @p295 (forall @t373 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t404 @t21) @t404))) % 64.34/65.00 (assume @p296 (forall @t372 (=> @t420 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t411) @t411)))) % 64.34/65.00 (assume @p297 (forall @t372 (=> @t420 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t411 @t370) @t411)))) % 64.34/65.00 (assume @p298 (forall @t432 (=> @t431 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t430 @t370) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t382 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t390 @t370)))))) % 64.34/65.00 (assume @p299 (forall @t432 (=> @t431 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t392 @t370) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t433 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t390 @t370)))))) % 64.34/65.00 (assume @p300 (forall @t395 (=> @t431 (= @t435 @t434)))) % 64.34/65.00 (assume @p301 (forall @t395 (=> @t431 (= @t439 @t438)))) % 64.34/65.00 (assume @p302 (forall @t385 (=> @t356 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t370 @t437) @t370)))) % 64.34/65.00 (assume @p303 (forall @t385 (=> @t356 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t383) @t370)))) % 64.34/65.00 (assume @p304 (forall @t378 (=> @t440 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t97 @t97) @t97)))) % 64.34/65.00 (assume @p305 (forall @t372 (=> @t440 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t370) @t370)))) % 64.34/65.00 (assume @p306 (forall @t380 (=> @t440 (= @t441 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t95 @t97))))) % 64.34/65.00 (assume @p307 (forall @t385 (=> @t356 @t442))) % 64.34/65.00 (assume @p308 (forall @t385 (=> @t440 @t442))) % 64.34/65.00 (assume @p309 (forall @t380 (=> @t440 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t97 @t441) @t441)))) % 64.34/65.00 (assume @p310 (forall @t385 (=> @t356 @t443))) % 64.34/65.00 (assume @p311 (forall @t385 (=> @t440 @t443))) % 64.34/65.00 (assume @p312 (forall @t389 (=> @t440 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t95 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t97 @t387)) @t444)))) % 64.34/65.00 (assume @p313 (forall @t395 (=> @t356 @t446))) % 64.34/65.00 (assume @p314 (forall @t395 (=> @t440 @t446))) % 64.34/65.00 (assume @p315 (forall @t396 (=> @t440 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t441 @t387) @t444)))) % 64.34/65.00 (assume @p316 (forall @t395 (=> @t356 @t447))) % 64.34/65.00 (assume @p317 (forall @t395 (=> @t440 @t447))) % 64.34/65.00 (assume @p318 (forall @t357 (=> @t356 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t355 @t2 @t1) @t33) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t133 @t354))))) % 64.34/65.00 (assume @p319 (forall @t315 (=> @t429 @t24))) % 64.34/65.00 (assume @p320 (forall @t315 (=> @t429 @t26))) % 64.34/65.00 (assume @p321 (forall @t315 (= @t429 (and @t26 @t24)))) % 64.34/65.00 (assume @p322 (forall @t449 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t345 @t324) @t448))) % 64.34/65.00 (assume @p323 (forall @t329 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t427 @t452) @t451) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t304 @t327) @t450)))) % 64.34/65.00 (assume @p324 (forall @t453 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t452 @t25) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t320 @t450)))) % 64.34/65.00 (assume @p325 (forall @t453 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t327 @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t454 @t451)))) % 64.34/65.00 (assume @p326 (forall @t329 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t25 @t452) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t304 @t326)))) % 64.34/65.00 (assume @p327 (forall @t329 (= @t456 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t427 @t455)))) % 64.34/65.00 (assume @p328 (forall @t461 (=> (tptp.c_Relation_Osingle__valued @t23 @t73 (tptp.c_Relation_Oconverse @t73 @t23 @t72)) (= @t460 @t459)))) % 64.34/65.00 (assume @p329 (forall (@list @t21 @t25 @t72 @t23 @t73) (= (tptp.c_Relation_OImage @t73 @t23 @t72 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t425 @t25 @t21)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t458 @t457)))) % 64.34/65.00 (assume @p330 (forall @t353 (= (tptp.c_Relation_Oconverse @t73 @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t336 @t81 @t118)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t339 @t285 @t352)))) % 64.34/65.00 (assume @p331 (forall @t319 (=> @t244 (=> @t318 (tptp.c_Relation_Orefl__on @t23 @t427 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t300 @t81 @t118)))))) % 64.34/65.00 (assume @p332 (forall @t321 (= (tptp.c_Relation_OImage @t23 @t23 @t189 @t21) @t427))) % 64.34/65.00 (assume @p333 (forall @t192 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t25) @t25))) % 64.34/65.00 (assume @p334 (forall @t321 (= @t427 @t454))) % 64.34/65.00 (assume @p335 (forall @t321 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t427) @t427))) % 64.34/65.00 (assume @p336 (forall @t329 (= @t462 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t21 @t455)))) % 64.34/65.00 (assume @p337 (forall @t329 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t427 @t325) @t462))) % 64.34/65.00 (assume @p338 (forall @t306 (=> @t428 @t104))) % 64.34/65.00 (assume @p339 (forall @t306 (=> @t428 @t302))) % 64.34/65.00 (assume @p340 (forall @t192 (= (tptp.c_Relation_OImage @t23 @t23 @t250 @t25) @t25))) % 64.34/65.00 (assume @p341 (forall @t373 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t365 @t21) @t21))) % 64.34/65.00 (assume @p342 (forall @t192 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t25 @t365) @t25))) % 64.34/65.00 (assume @p343 (forall @t164 (=> @t371 (= (= @t463 @t369) (and (= @t33 @t369) (= @t32 @t369)))))) % 64.34/65.00 (assume @p344 (forall @t372 (=> @t371 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t370 @t369) @t370)))) % 64.34/65.00 (assume @p345 (forall @t372 (=> @t371 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t369 @t370) @t370)))) % 64.34/65.00 (assume @p346 (forall @t465 (=> @t363 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t300 @t81 @t464))))) % 64.34/65.00 (assume @p347 (forall @t465 (=> @t363 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t300 @t464 @t81))))) % 64.34/65.00 (assume @p348 (forall @t449 (and @t468 @t467))) % 64.34/65.00 (assume @p349 (forall @t473 (and @t472 @t471))) % 64.34/65.00 (assume @p350 (forall @t449 @t467)) % 64.34/65.00 (assume @p351 (forall @t473 @t471)) % 64.34/65.00 (assume @p352 (forall @t449 @t468)) % 64.34/65.00 (assume @p353 (forall @t473 @t472)) % 64.34/65.00 (assume @p354 (forall (@list @t25 @t347 @t72 @t23 @t73) (= (tptp.c_Relation_OImage @t73 @t23 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t336 @t72 @t347) @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t458 (tptp.c_Relation_OImage @t73 @t23 @t347 @t25))))) % 64.34/65.00 (assume @p355 (forall @t476 (= @t475 (exists @t6 (and @t474 @t186))))) % 64.34/65.00 (assume @p356 (forall (@list @t81 @t50 @t73 @t25 @t51 @t23) (=> @t98 (=> @t168 (tptp.c_member @t73 @t50 @t477))))) % 64.34/65.00 (assume @p357 (forall @t254 (=> (tptp.c_Relation_Orefl__on @t23 @t364 @t81) (=> @t253 @t483)))) % 64.34/65.00 (assume @p358 (forall @t254 (=> (tptp.c_Order__Relation_Opartial__order__on @t23 @t364 @t81) @t483))) % 64.34/65.00 (assume @p359 (forall @t476 (=> @t475 (not (forall @t6 (=> @t186 (not @t474))))))) % 64.34/65.00 (assume @p360 (forall @t242 (= (tptp.c_Order__Relation_Opartial__order__on @t23 @t25 @t262) @t484))) % 64.34/65.00 (assume @p361 (forall @t270 (tptp.c_Order__Relation_Opartial__order__on @t23 @t404 @t410))) % 64.34/65.00 (assume @p362 (forall @t242 (= @t485 (and @t484 @t241)))) % 64.34/65.00 (assume @p363 (forall @t270 (tptp.c_Order__Relation_Owell__order__on @t23 @t404 @t410))) % 64.34/65.00 (assume @p364 (forall @t242 (= (tptp.c_Order__Relation_Olinear__order__on @t23 @t25 @t262) @t485))) % 64.34/65.00 (assume @p365 (forall @t270 (tptp.c_Order__Relation_Olinear__order__on @t23 @t404 @t410))) % 64.34/65.00 (assume @p366 (forall @t242 (= @t484 (and @t486 @t253)))) % 64.34/65.00 (assume @p367 (forall (@list @t50 @t51 @t33 @t81 @t25 @t23) (=> @t487 (=> (tptp.c_member @t23 @t33 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t479 @t478)) @t155)))) % 64.34/65.00 (assume @p368 (forall @t242 (= (tptp.c_Order__Relation_Opreorder__on @t23 @t25 @t262) @t486))) % 64.34/65.00 (assume @p369 (forall @t245 (=> @t487 (=> @t98 (tptp.c_member @t23 @t51 @t479))))) % 64.34/65.00 (assume @p370 (forall @t488 (=> @t487 (=> @t155 @t480)))) % 64.34/65.00 (assume @p371 (forall @t270 (tptp.c_Order__Relation_Opreorder__on @t23 @t404 @t410))) % 64.34/65.00 (assume @p372 (forall (@list @t25 @t50 @t51 @t81 @t23) (=> @t480 (=> @t487 @t489)))) % 64.34/65.00 (assume @p373 (forall @t247 (=> @t487 (=> @t102 (=> @t101 (= @t492 @t246)))))) % 64.34/65.00 (assume @p374 (forall @t247 (=> @t487 (= @t246 (and @t492 @t102 @t101))))) % 64.34/65.00 (assume @p375 (forall @t254 (=> (tptp.c_Order__Relation_Opreorder__on @t23 @t364 @t81) (=> @t482 (=> @t481 (= @t493 @t252)))))) % 64.34/65.00 (assume @p376 (forall @t247 (=> @t487 (=> @t102 (=> @t101 (= (= @t494 (tptp.c_Equiv__Relations_Oquotient @t23 @t490 @t81)) @t246)))))) % 64.34/65.00 (assume @p377 (forall @t372 (=> @t495 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t370)))) % 64.34/65.00 (assume @p378 (forall @t321 (=> @t497 (=> @t496 @t30)))) % 64.34/65.00 (assume @p379 (forall (@list @t22 @t21 @t25 @t23) (=> @t497 (=> @t26 @t24)))) % 64.34/65.00 (assume @p380 (forall @t192 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t404 @t25))) % 64.34/65.00 (assume @p381 (forall @t85 (= (tptp.c_Equiv__Relations_Oquotient @t23 @t404 @t81) @t498))) % 64.34/65.00 (assume @p382 (forall @t242 (= (= @t498 @t499) @t415))) % 64.34/65.00 (assume @p383 (forall @t242 (= (= @t499 @t498) @t415))) % 64.34/65.00 (assume @p384 (forall @t351 (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t350 @t348))) % 64.34/65.00 (assume @p385 (forall @t385 (=> @t356 @t500))) % 64.34/65.00 (assume @p386 (forall @t385 (=> @t440 @t500))) % 64.34/65.00 (assume @p387 (forall @t385 (=> @t356 @t501))) % 64.34/65.00 (assume @p388 (forall @t385 (=> @t440 @t501))) % 64.34/65.00 (assume @p389 (forall @t164 (=> @t440 (= @t502 (= @t463 @t33))))) % 64.34/65.00 (assume @p390 (forall @t504 (=> @t440 (= (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t33 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t32 @t36)) (and @t502 @t503))))) % 64.34/65.00 (assume @p391 (forall @t507 (=> @t440 (=> @t506 @t505)))) % 64.34/65.00 (assume @p392 (forall (@list @t97 @t370 @t95 @t23) (=> @t440 (=> @t508 @t505)))) % 64.34/65.00 (assume @p393 (forall @t385 (=> @t440 (=> @t509 (= @t437 @t370))))) % 64.34/65.00 (assume @p394 (forall @t511 (=> @t440 (=> @t510 (= @t437 @t381))))) % 64.34/65.00 (assume @p395 (forall @t515 (=> @t440 (=> @t514 (=> @t513 @t512))))) % 64.34/65.00 (assume @p396 (forall @t395 (=> @t440 (=> @t509 (=> @t516 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t430)))))) % 64.34/65.00 (assume @p397 (forall @t520 (=> @t440 (=> @t519 (=> @t518 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t441 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23 @t387 @t517))))))) % 64.34/65.00 (assume @p398 (forall @t515 (=> @t440 (=> @t512 (not (=> @t514 (not @t513))))))) % 64.34/65.00 (assume @p399 (forall @t321 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t427 @t25))) % 64.34/65.00 (assume @p400 (forall @t321 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t427 @t21))) % 64.34/65.00 (assume @p401 (forall @t321 (=> @t497 (= @t427 @t25)))) % 64.34/65.00 (assume @p402 (forall @t521 (=> @t496 (= @t427 @t21)))) % 64.34/65.00 (assume @p403 (forall (@list @t21 @t25 @t325 @t23) (=> @t522 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t325 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t325 @t427))))) % 64.34/65.00 (assume @p404 (forall @t526 (=> @t525 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t427 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t325 @t523)))))) % 64.34/65.00 (assume @p405 (forall @t344 (=> @t343 (= (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t342) @t497)))) % 64.34/65.00 (assume @p406 (forall @t344 (= (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t322 @t21) (and @t103 @t497)))) % 64.34/65.00 (assume @p407 (forall @t395 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t435 @t434)))) % 64.34/65.00 (assume @p408 (forall @t395 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t438 @t439)))) % 64.34/65.00 (assume @p409 (forall (@list @t33 @t25 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t424) (or @t415 (= @t25 @t424))))) % 64.34/65.00 (assume @p410 (forall @t329 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t427 @t325) @t456) @t522))) % 64.34/65.00 (assume @p411 (forall (@list @t118 @t81 @t175 @t23) (=> @t275 (=> @t527 (tptp.c_member @t83 @t175 (tptp.c_Transitive__Closure_Otrancl @t23 @t118)))))) % 64.34/65.00 (assume @p412 (forall @t461 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t460 @t459))) % 64.34/65.00 (assume @p413 (forall (@list @t370 @t95 @t97 @t23) (=> @t377 (=> @t528 (not (=> @t506 (not @t508))))))) % 64.34/65.00 (assume @p414 (forall @t520 (=> @t377 (=> @t519 (=> @t518 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t379 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23 @t387 @t517))))))) % 64.34/65.00 (assume @p415 (forall @t530 (=> @t377 (=> @t510 (=> @t529 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t392 @t370)))))) % 64.34/65.00 (assume @p416 (forall @t507 (=> @t377 (=> @t506 (=> @t508 @t528))))) % 64.34/65.00 (assume @p417 (forall @t511 (=> @t377 (=> @t510 (= @t383 @t370))))) % 64.34/65.00 (assume @p418 (forall @t385 (=> @t377 (=> @t509 (= @t383 @t381))))) % 64.34/65.00 (assume @p419 (forall (@list @t97 @t95 @t370 @t23) (=> @t377 (=> @t513 @t531)))) % 64.34/65.00 (assume @p420 (forall @t515 (=> @t377 (=> @t514 @t531)))) % 64.34/65.00 (assume @p421 (forall @t504 (=> @t377 (= (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t419 @t36) (and @t503 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t32 @t36)))))) % 64.34/65.00 (assume @p422 (forall @t164 (=> @t377 (= @t502 (= @t419 @t32))))) % 64.34/65.00 (assume @p423 (forall @t511 (=> @t377 @t532))) % 64.34/65.00 (assume @p424 (forall @t511 (=> @t356 @t532))) % 64.34/65.00 (assume @p425 (forall @t385 (=> @t377 @t533))) % 64.34/65.00 (assume @p426 (forall @t385 (=> @t356 @t533))) % 64.34/65.00 (assume @p427 (forall @t376 (=> @t527 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t364 @t375)))) % 64.34/65.00 (assume @p428 (forall @t306 (=> @t497 (=> @t102 @t103)))) % 64.34/65.00 (assume @p429 (forall @t344 (=> @t102 (=> @t497 @t103)))) % 64.34/65.00 (assume @p430 (forall (@list @t51 @t523 @t325 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t325 @t523) (tptp.c_Orderings_Oord__class_Oless__eq @t303 (tptp.c_Set_Oinsert @t23 @t51 @t325) (tptp.c_Set_Oinsert @t23 @t51 @t523))))) % 64.34/65.00 (assume @p431 (forall (@list @t50 @t21 @t25 @t23) (=> @t497 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t310)))) % 64.34/65.00 (assume @p432 (forall (@list @t51 @t21 @t23) (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t21 @t324))) % 64.34/65.00 (assume @p433 (forall @t526 (=> @t525 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t304 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t303 @t325 @t523)))))) % 64.34/65.00 (assume @p434 (forall (@list @t21 @t325 @t25 @t23) (=> @t525 (=> @t534 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t304 @t325))))) % 64.34/65.00 (assume @p435 (forall @t521 (=> @t496 (= @t304 @t25)))) % 64.34/65.00 (assume @p436 (forall @t321 (=> @t497 @t535))) % 64.34/65.00 (assume @p437 (forall @t321 (= @t497 @t535))) % 64.34/65.00 (assume @p438 (forall @t521 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t21 @t304))) % 64.34/65.00 (assume @p439 (forall @t321 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t304))) % 64.34/65.00 (assume @p440 (forall @t376 (=> @t527 @t537))) % 64.34/65.00 (assume @p441 (forall @t351 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t72 @t347) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t347 @t197) (= @t349 @t197))))) % 64.34/65.00 (assume @p442 (forall @t376 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t81 @t536) @t537))) % 64.34/65.00 (assume @p443 (forall (@list @t539 @t538 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t538 @t539) (tptp.c_Orderings_Oord__class_Oless__eq @t303 (tptp.c_Wellfounded_Oacc @t23 @t539) (tptp.c_Wellfounded_Oacc @t23 @t538))))) % 64.34/65.00 (assume @p444 (forall @t192 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t25))) % 64.34/65.00 (assume @p445 (forall @t540 (= @t30 (and @t497 @t496)))) % 64.34/65.00 (assume @p446 (forall @t540 (=> @t30 @t497))) % 64.34/65.00 (assume @p447 (forall @t540 (=> @t30 @t496))) % 64.34/65.00 (assume @p448 (forall @t329 (=> @t497 (=> @t534 @t525)))) % 64.34/65.00 (assume @p449 (forall @t540 (=> @t30 (not (=> @t497 (not @t496)))))) % 64.34/65.00 (assume @p450 (forall (@list @t360 @t23 @t33 @t49) (=> @t80 (=> @t542 @t541)))) % 64.34/65.00 (assume @p451 (forall (@list @t33 @t360 @t49 @t23) (=> @t542 (=> @t80 @t541)))) % 64.34/65.00 (assume @p452 (forall @t544 (=> @t543 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t199 (tptp.c_Relation_ODomain @t23 @t73 @t118))))) % 64.34/65.00 (assume @p453 (forall @t544 (=> @t543 (=> (tptp.c_Relation_Osingle__valued @t23 @t73 @t118) @t228)))) % 64.34/65.00 (assume @p454 (forall (@list @t81 @t118 @t23) (=> (tptp.c_Wellfounded_Oacyclic @t23 @t118) (=> @t527 @t295)))) % 64.34/65.00 (assume @p455 (forall @t376 (=> @t527 (=> (tptp.c_Relation_Oantisym @t23 @t118) @t253)))) % 64.34/65.00 (assume @p456 (forall (@list @t175 @t81 @t23) (=> @t363 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t175 @t81) (tptp.c_Wellfounded_Owf @t23 @t175))))) % 64.34/65.00 (assume @p457 (forall (@list @t1 @t2 @t23 @t73) (=> @t546 (= @t545 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t73 @t5 @t4)))))) % 64.34/65.00 (assume @p458 (forall @t385 (=> @t547 (or @t509 @t510)))) % 64.34/65.00 (assume @p459 (forall @t164 (=> @t549 (= @t39 (and @t502 @t548))))) % 64.34/65.00 (assume @p460 (forall @t385 (=> @t495 (=> @t550 @t509)))) % 64.34/65.00 (assume @p461 (forall (@list @t33 @t1 @t2 @t23 @t73) (=> @t546 (=> @t545 (tptp.c_Orderings_Oord__class_Oless__eq @t73 @t133 @t354))))) % 64.34/65.00 (assume @p462 (forall (@list @t33 @t32 @t23) (=> @t549 (=> @t548 (= @t502 @t39))))) % 64.34/65.00 (assume @p463 (forall @t396 (=> @t552 (=> @t551 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t95 @t387) @t519))))) % 64.34/65.00 (assume @p464 (forall @t396 (=> @t549 (=> @t551 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t387 @t95) @t553))))) % 64.34/65.00 (assume @p465 (forall @t396 (=> @t552 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t97 @t95) (=> @t554 @t519))))) % 64.34/65.00 (assume @p466 (forall @t389 (=> @t549 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t95 @t97) (=> @t554 @t553))))) % 64.34/65.00 (assume @p467 (forall @t385 (=> @t549 (=> @t509 (=> @t510 @t550))))) % 64.34/65.00 (assume @p468 (forall @t395 (=> @t495 (=> @t509 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t381 @t390) @t516))))) % 64.34/65.00 (assume @p469 (forall @t511 (=> @t549 (=> @t510 (=> @t509 @t550))))) % 64.34/65.00 (assume @p470 (forall @t530 (=> @t549 (=> @t510 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t390 @t381) @t529))))) % 64.34/65.00 (assume @p471 (forall @t385 (=> @t547 (=> (not @t509) @t510)))) % 64.34/65.00 (assume @p472 (forall @t192 (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t365))) % 64.34/65.00 (assume @p473 (forall @t372 (=> @t398 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t370 @t369)))) % 64.34/65.00 (assume @p474 (forall (@list @t25 @t555 @t81 @t464 @t73 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t339 @t464 @t81) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t555 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t425 (tptp.c_Relation_OImage @t23 @t73 @t464 @t555) @t477))))) % 64.34/65.00 (assume @p475 (forall @t192 (= (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 @t404) @t415))) % 64.34/65.00 (assume @p476 (forall (@list @t21 @t23 @t25) (=> (= @t25 @t410) (tptp.c_Orderings_Oord__class_Oless__eq @t300 @t25 @t21)))) % 64.34/65.00 (assume @p477 (forall @t372 (=> @t412 (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t411 @t370)))) % 64.34/65.00 (assume @p478 (forall (@list @t556 @t81 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 (tptp.c_Relation_OImage @t23 @t23 @t81 @t556) @t556) (= (tptp.c_Relation_OImage @t23 @t23 @t160 @t556) @t556)))) % 64.34/65.00 (assume @p479 (forall (@list @t25 @t72 @t23) (=> @t409 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t25 (tptp.c_Relation_OImage @t23 @t23 @t72 @t25)) @t415)))) % 64.34/65.00 (assume @p480 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t303 (tptp.c_Relation_ODomain @t23 @t73 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t339 @t25 @t21)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t338 @t337)))) % 64.34/65.00 (assume @p481 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t303 (tptp.c_Relation_ORange @t73 @t23 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t336 @t25 @t21)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t335 @t334)))) % 64.34/65.00 (assume @p482 (forall @t159 (= @t494 (tptp.c_Set_Oinsert @t303 @t491 @t498)))) % 64.34/65.00 (assume @p483 (forall (@list @t557 @t556 @t81 @t25 @t23) (=> @t487 (=> @t560 (=> @t559 (or @t558 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t303 @t556 @t557) @t404))))))) % 64.34/65.00 (assume @p484 (forall (@list @t81 @t25 @t33 @t23) (=> @t102 (tptp.c_member @t303 @t491 @t499)))) % 64.34/65.00 (assume @p485 (forall @t488 (=> @t487 (=> @t155 @t493)))) % 64.34/65.00 (assume @p486 (forall @t563 (=> @t487 (=> @t560 (=> @t559 (=> @t562 (=> @t561 (=> @t246 @t558)))))))) % 64.34/65.00 (assume @p487 (forall @t563 (=> @t487 (=> @t560 (=> @t559 (=> @t562 (=> @t561 (= @t558 @t246)))))))) % 64.34/65.00 (assume @p488 (forall (@list @t51 @t50 @t81 @t25 @t23) (=> @t487 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t303 @t478 @t479) @t489)))) % 64.34/65.00 (assume @p489 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p490 (forall @t568 (=> @t567 (tptp.class_Lattices_Obounded__lattice @t566)))) % 64.34/65.00 (assume @p491 (forall @t568 (=> @t567 (tptp.class_Lattices_Obounded__lattice__top @t566)))) % 64.34/65.00 (assume @p492 (forall @t568 (=> @t567 (tptp.class_Lattices_Obounded__lattice__bot @t566)))) % 64.34/65.00 (assume @p493 (forall @t568 (=> @t569 (tptp.class_Lattices_Osemilattice__sup @t566)))) % 64.34/65.00 (assume @p494 (forall @t568 (=> @t569 (tptp.class_Lattices_Osemilattice__inf @t566)))) % 64.34/65.00 (assume @p495 (forall @t568 (=> (tptp.class_Lattices_Odistrib__lattice @t564) (tptp.class_Lattices_Odistrib__lattice @t566)))) % 64.34/65.00 (assume @p496 (forall @t568 (=> (tptp.class_Orderings_Opreorder @t564) (tptp.class_Orderings_Opreorder @t566)))) % 64.34/65.00 (assume @p497 (forall @t568 (=> @t569 (tptp.class_Lattices_Olattice @t566)))) % 64.34/65.00 (assume @p498 (forall @t568 (=> (tptp.class_Orderings_Oorder @t564) (tptp.class_Orderings_Oorder @t566)))) % 64.34/65.00 (assume @p499 (forall @t568 (=> (tptp.class_Orderings_Otop @t564) (tptp.class_Orderings_Otop @t566)))) % 64.34/65.00 (assume @p500 (forall @t568 (=> (tptp.class_Orderings_Oord @t564) (tptp.class_Orderings_Oord @t566)))) % 64.34/65.00 (assume @p501 (forall @t568 (=> (tptp.class_Orderings_Obot @t564) (tptp.class_Orderings_Obot @t566)))) % 64.34/65.00 (assume @p502 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p503 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p504 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p505 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p506 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p507 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p508 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p509 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p510 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p511 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p512 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 64.34/65.00 (assume @p513 (forall @t571 (or (not @t570) @t39))) % 64.34/65.00 (assume @p514 (forall @t571 (or @t40 @t570))) % 64.34/65.00 (assume @p515 (not (= @t573 @t572))) % 64.34/65.00 (assume @p516 true) % 64.34/65.00 (step @p517 :rule aci_norm :args ((= (or @t421 @t582) @t581))) % 64.34/65.00 (step @p518 :rule aci_norm :args ((= (or @t580 @t583) @t582))) % 64.34/65.00 (step @p519 :rule aci_norm :args ((= (or @t579 @t584) @t583))) % 64.34/65.00 (step @p520 :rule aci_norm :args ((= (or @t578 @t585) @t584))) % 64.34/65.00 (step @p521 :rule aci_norm :args ((= (or @t577 @t586) @t585))) % 64.34/65.00 (step @p522 :rule aci_norm :args ((= (or @t576 @t587) @t586))) % 64.34/65.00 (step @p523 :rule aci_norm :args ((= (or @t575 (or @t574 @t48)) @t587))) % 64.34/65.00 (step @p524 :rule bool-impl-elim :args (@t53 @t48)) % 64.34/65.00 (step @p525 :rule refl :args (@t575)) % 64.34/65.00 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or @t575 @t54))) % 64.34/65.00 (step @p527 :rule trans :premises (@p526 @p523)) % 64.34/65.00 (step @p528 :rule bool-impl-elim :args (@t55 @t54)) % 64.34/65.00 (step @p529 :rule trans :premises (@p528 @p527)) % 64.34/65.00 (step @p530 :rule refl :args (@t576)) % 64.34/65.00 (step @p531 :rule nary_cong :premises (@p530 @p529) :args ((or @t576 @t56))) % 64.34/65.00 (step @p532 :rule trans :premises (@p531 @p522)) % 64.34/65.00 (step @p533 :rule bool-impl-elim :args (@t57 @t56)) % 64.34/65.00 (step @p534 :rule trans :premises (@p533 @p532)) % 64.34/65.00 (step @p535 :rule refl :args (@t577)) % 64.34/65.00 (step @p536 :rule nary_cong :premises (@p535 @p534) :args ((or @t577 @t58))) % 64.34/65.00 (step @p537 :rule trans :premises (@p536 @p521)) % 64.34/65.00 (step @p538 :rule bool-impl-elim :args (@t59 @t58)) % 64.34/65.00 (step @p539 :rule trans :premises (@p538 @p537)) % 64.34/65.00 (step @p540 :rule refl :args (@t578)) % 64.34/65.00 (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or @t578 @t60))) % 64.34/65.00 (step @p542 :rule trans :premises (@p541 @p520)) % 64.34/65.00 (step @p543 :rule refl :args (@t60)) % 64.34/65.00 (step @p544 :rule bool-double-not-elim :args (@t578)) % 64.34/65.00 (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or (not @t588) @t60))) % 64.34/65.00 (step @p546 :rule bool-impl-elim :args (@t588 @t60)) % 64.34/65.00 (step @p547 :rule trans :premises (@p546 @p545)) % 64.34/65.00 (step @p548 :rule trans :premises (@p547 @p542)) % 64.34/65.00 (step @p549 :rule refl :args (@t579)) % 64.34/65.00 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t579 @t589))) % 64.34/65.00 (step @p551 :rule trans :premises (@p550 @p519)) % 64.34/65.00 (step @p552 :rule refl :args (@t589)) % 64.34/65.00 (step @p553 :rule bool-double-not-elim :args (@t579)) % 64.34/65.00 (step @p554 :rule nary_cong :premises (@p553 @p552) :args ((or (not @t590) @t589))) % 64.34/65.00 (step @p555 :rule bool-impl-elim :args (@t590 @t589)) % 64.34/65.00 (step @p556 :rule trans :premises (@p555 @p554)) % 64.34/65.00 (step @p557 :rule trans :premises (@p556 @p551)) % 64.34/65.00 (step @p558 :rule refl :args (@t580)) % 64.34/65.00 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t580 @t591))) % 64.34/65.00 (step @p560 :rule trans :premises (@p559 @p518)) % 64.34/65.00 (step @p561 :rule refl :args (@t591)) % 64.34/65.00 (step @p562 :rule bool-double-not-elim :args (@t580)) % 64.34/65.00 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t592) @t591))) % 64.34/65.00 (step @p564 :rule bool-impl-elim :args (@t592 @t591)) % 64.34/65.00 (step @p565 :rule trans :premises (@p564 @p563)) % 64.34/65.00 (step @p566 :rule trans :premises (@p565 @p560)) % 64.34/65.00 (step @p567 :rule refl :args (@t421)) % 64.34/65.00 (step @p568 :rule nary_cong :premises (@p567 @p566) :args ((or @t421 @t593))) % 64.34/65.00 (step @p569 :rule trans :premises (@p568 @p517)) % 64.34/65.00 (step @p570 :rule refl :args (@t593)) % 64.34/65.00 (step @p571 :rule bool-double-not-elim :args (@t421)) % 64.34/65.00 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or (not @t594) @t593))) % 64.34/65.00 (step @p573 :rule bool-impl-elim :args (@t594 @t593)) % 64.34/65.00 (step @p574 :rule trans :premises (@p573 @p572)) % 64.34/65.00 (step @p575 :rule trans :premises (@p574 @p569)) % 64.34/65.00 (step @p576 :rule cong :premises (@p575) :args ((forall @t70 (=> @t594 @t593)))) % 64.34/65.00 (step @p577 :rule refl :args (@t60)) % 64.34/65.00 (step @p578 :rule eq-symm :args (@t50 @t46)) % 64.34/65.00 (step @p579 :rule cong :premises (@p578) :args (@t61)) % 64.34/65.00 (step @p580 :rule cong :premises (@p579 @p577) :args (@t62)) % 64.34/65.00 (step @p581 :rule eq-symm :args (@t51 @t45)) % 64.34/65.00 (step @p582 :rule cong :premises (@p581) :args (@t63)) % 64.34/65.00 (step @p583 :rule cong :premises (@p582 @p580) :args (@t64)) % 64.34/65.00 (step @p584 :rule eq-symm :args (@t46 @t45)) % 64.34/65.00 (step @p585 :rule cong :premises (@p584) :args (@t65)) % 64.34/65.00 (step @p586 :rule cong :premises (@p585 @p583) :args (@t66)) % 64.34/65.00 (step @p587 :rule eq-symm :args (@t51 @t50)) % 64.34/65.00 (step @p588 :rule cong :premises (@p587) :args (@t68)) % 64.34/65.00 (step @p589 :rule cong :premises (@p588 @p586) :args (@t69)) % 64.34/65.00 (step @p590 :rule cong :premises (@p589) :args (@t71)) % 64.34/65.00 (step @p591 :rule trans :premises (@p590 @p576)) % 64.34/65.00 (step @p592 :rule eq_resolve :premises (@p14 @p591)) % 64.34/65.00 (step @p593 :rule not_equiv_elim2 :premises (@p515)) % 64.34/65.00 (step @p594 :rule symm :premises (@p4)) % 64.34/65.00 (step @p595 :rule symm :premises (@p7)) % 64.34/65.00 (step @p596 :rule refl :args (@t572)) % 64.34/65.00 (step @p597 :rule refl :args (@t595)) % 64.34/65.00 (step @p598 :rule refl :args (@t596)) % 64.34/65.00 (step @p599 :rule refl :args (@t597)) % 64.34/65.00 (step @p600 :rule refl :args (@t598)) % 64.34/65.00 (step @p601 :rule eq-symm :args (tptp.v_a_H____ tptp.v_b____)) % 64.34/65.00 (step @p602 :rule eq-symm :args (tptp.v_b_H____ tptp.v_a____)) % 64.34/65.00 (step @p603 :rule refl :args (@t599)) % 64.34/65.00 (step @p604 :rule refl :args (@t600)) % 64.34/65.00 (step @p605 :rule nary_cong :premises (@p604 @p603 @p602 @p601 @p600 @p599 @p598 @p597 @p596) :args (@t601)) % 64.34/65.00 (step @p606 :rule refl :args (@t602)) % 64.34/65.00 (step @p607 :rule cong :premises (@p606 @p605) :args ((=> @t602 @t601))) % 64.34/65.00 (assume-push @p639 @t602) % 64.34/65.00 (step @p609 :rule instantiate :premises (@p592) :args ((@list tptp.v_P_H____ tptp.v_P____ tptp.v_b_H____ tptp.v_a_H____ tptp.v_b____ tptp.v_a____))) % 64.34/65.00 (step-pop @p640 :rule scope :premises (@p609)) % 64.34/65.00 (step @p610 :rule process_scope :premises (@p640) :args (@t601)) % 64.34/65.00 (step @p612 :rule eq_resolve :premises (@p610 @p607)) % 64.34/65.00 (step @p613 :rule implies_elim :premises (@p612)) % 64.34/65.00 (step @p614 :rule chain_m_resolution :premises (@p613 @p592) :args (@t603 (@list false) (@list @t602))) % 64.34/65.00 (step @p615 :rule cnf_or_pos :args (@t603)) % 64.34/65.00 (step @p616 :rule reordering :premises (@p615) :args ((or @t7 @t8 @t572 @t600 @t599 @t596 @t598 @t597 @t595 (not @t603)))) % 64.34/65.00 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p10 @p9 @p8 @p595 @p6 @p5 @p594 @p593) :args (@t595 (@list false false false false true true true true true) (@list @t603 @t20 @t19 @t16 @t599 @t8 @t7 @t600 @t572))) % 64.34/65.00 (step @p618 :rule not_equiv_elim1 :premises (@p515)) % 64.34/65.00 (step @p619 :rule chain_m_resolution :premises (@p618 @p617) :args (@t572 (@list true) (@list @t573))) % 64.34/65.00 (step @p620 :rule cnf_or_pos :args (@t605)) % 64.34/65.00 (step @p621 :rule reordering :premises (@p620) :args ((or @t7 @t8 @t573 @t600 @t599 @t596 @t598 @t597 @t604 @t606))) % 64.34/65.00 (step @p622 :rule chain_m_resolution :premises (@p621 @p5 @p6 @p617 @p594 @p595 @p8 @p9 @p10 @p619) :args (@t606 (@list true true true true true false false false false) (@list @t7 @t8 @t573 @t600 @t599 @t16 @t19 @t20 @t572))) % 64.34/65.00 (step @p623 :rule refl :args (@t573)) % 64.34/65.00 (step @p624 :rule refl :args (@t604)) % 64.34/65.00 (step @p625 :rule eq-symm :args (@t12 @t14)) % 64.34/65.00 (step @p626 :rule cong :premises (@p625) :args (@t607)) % 64.34/65.00 (step @p627 :rule cong :premises (@p626) :args (@t608)) % 64.34/65.00 (step @p628 :rule refl :args (@t7)) % 64.34/65.00 (step @p629 :rule refl :args (@t8)) % 64.34/65.00 (step @p630 :rule nary_cong :premises (@p603 @p604 @p629 @p628 @p599 @p600 @p627 @p624 @p623) :args (@t609)) % 64.34/65.00 (step @p631 :rule cong :premises (@p606 @p630) :args ((=> @t602 @t609))) % 64.34/65.00 (assume-push @p641 @t602) % 64.34/65.00 (step @p633 :rule instantiate :premises (@p592) :args ((@list tptp.v_P____ tptp.v_P_H____ tptp.v_b____ tptp.v_a____ tptp.v_b_H____ tptp.v_a_H____))) % 64.34/65.01 (step-pop @p642 :rule scope :premises (@p633)) % 64.34/65.01 (step @p634 :rule process_scope :premises (@p642) :args (@t609)) % 64.34/65.01 (step @p636 :rule eq_resolve :premises (@p634 @p631)) % 64.34/65.01 (step @p637 :rule implies_elim :premises (@p636)) % 64.34/65.01 (step @p638 false :rule chain_m_resolution :premises (@p637 @p622 @p592) :args (false (@list true false) (@list @t605 @t602))) % 64.34/65.01 ) % 64.34/65.01 % SZS output end Proof % 64.34/65.01 % cvc5 exiting %------------------------------------------------------------------------------