%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT122+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:46:19 AM UTC 2026 % Result : Theorem 8.51s 8.79s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT122+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:27:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.46/0.62 %----Proving TF0_NAR, FOF, or CNF % 8.51/8.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 8.51/8.79 % SZS status Theorem % 8.51/8.79 % SZS output start Proof % 8.51/8.79 ( % 8.51/8.79 (declare-sort $$unsorted 0) % 8.51/8.79 (declare-const tptp.v_a $$unsorted) % 8.51/8.79 (declare-const tptp.v_b $$unsorted) % 8.51/8.79 (declare-const tptp.v_P $$unsorted) % 8.51/8.79 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 8.51/8.79 (declare-const tptp.tc_HOL_Obool $$unsorted) % 8.51/8.79 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.v_i $$unsorted) % 8.51/8.79 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 8.51/8.79 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.51/8.79 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 8.51/8.79 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 8.51/8.79 (define @t1 () (@var "V_g_2" $$unsorted)) % 8.51/8.79 (define @t2 () (@var "V_f_2" $$unsorted)) % 8.51/8.79 (define @t3 () (@var "B_x" $$unsorted)) % 8.51/8.79 (define @t4 () (tptp.hAPP @t1 @t3)) % 8.51/8.79 (define @t5 () (tptp.hAPP @t2 @t3)) % 8.51/8.79 (define @t6 () (@list @t3)) % 8.51/8.79 (define @t7 () (@var "T_a" $$unsorted)) % 8.51/8.79 (define @t8 () (tptp.tc_fun @t7 tptp.tc_HOL_Obool)) % 8.51/8.79 (define @t9 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 8.51/8.79 (define @t10 () (@var "V_x_2" $$unsorted)) % 8.51/8.79 (define @t11 () (@list @t10 @t7)) % 8.51/8.79 (define @t12 () (@var "V_r_2" $$unsorted)) % 8.51/8.79 (define @t13 () (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t3)) % 8.51/8.79 (define @t14 () (tptp.tc_prod @t7 @t7)) % 8.51/8.79 (define @t15 () (tptp.c_member @t14 @t13 @t12)) % 8.51/8.79 (define @t16 () (tptp.c_Relation_Oirrefl @t7 @t12)) % 8.51/8.79 (define @t17 () (@list @t12 @t7)) % 8.51/8.79 (define @t18 () (@var "B_xa" $$unsorted)) % 8.51/8.79 (define @t19 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t18 @t3) @t12)) % 8.51/8.79 (define @t20 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t18) @t12)) % 8.51/8.79 (define @t21 () (or @t20 @t19)) % 8.51/8.79 (define @t22 () (= @t3 @t18)) % 8.51/8.79 (define @t23 () (not @t22)) % 8.51/8.79 (define @t24 () (=> @t23 @t21)) % 8.51/8.79 (define @t25 () (@var "V_A_2" $$unsorted)) % 8.51/8.79 (define @t26 () (tptp.c_member @t7 @t18 @t25)) % 8.51/8.79 (define @t27 () (@list @t18)) % 8.51/8.79 (define @t28 () (forall @t27 (=> @t26 @t24))) % 8.51/8.79 (define @t29 () (tptp.c_member @t7 @t3 @t25)) % 8.51/8.79 (define @t30 () (=> @t29 @t28)) % 8.51/8.79 (define @t31 () (forall @t6 @t30)) % 8.51/8.79 (define @t32 () (tptp.c_Relation_Ototal__on @t7 @t25 @t12)) % 8.51/8.79 (define @t33 () (= @t32 @t31)) % 8.51/8.79 (define @t34 () (@list @t12 @t25 @t7)) % 8.51/8.79 (define @t35 () (forall @t34 @t33)) % 8.51/8.79 (define @t36 () (@var "B_z" $$unsorted)) % 8.51/8.79 (define @t37 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t36) @t12)) % 8.51/8.79 (define @t38 () (@var "B_y" $$unsorted)) % 8.51/8.79 (define @t39 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t36) @t12)) % 8.51/8.79 (define @t40 () (@list @t36)) % 8.51/8.79 (define @t41 () (forall @t40 (=> @t39 @t37))) % 8.51/8.79 (define @t42 () (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t38)) % 8.51/8.79 (define @t43 () (tptp.c_member @t14 @t42 @t12)) % 8.51/8.79 (define @t44 () (=> @t43 @t41)) % 8.51/8.79 (define @t45 () (@list @t3 @t38)) % 8.51/8.79 (define @t46 () (forall @t45 @t44)) % 8.51/8.79 (define @t47 () (tptp.c_Relation_Otrans @t7 @t12)) % 8.51/8.79 (define @t48 () (= @t47 @t46)) % 8.51/8.79 (define @t49 () (forall @t17 @t48)) % 8.51/8.79 (define @t50 () (@var "V_c_2" $$unsorted)) % 8.51/8.79 (define @t51 () (@var "V_a_2" $$unsorted)) % 8.51/8.79 (define @t52 () (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t50)) % 8.51/8.79 (define @t53 () (tptp.c_member @t14 @t52 @t12)) % 8.51/8.79 (define @t54 () (@var "V_b_2" $$unsorted)) % 8.51/8.79 (define @t55 () (tptp.c_Product__Type_OPair @t7 @t7 @t54 @t50)) % 8.51/8.79 (define @t56 () (tptp.c_member @t14 @t55 @t12)) % 8.51/8.79 (define @t57 () (=> @t56 @t53)) % 8.51/8.79 (define @t58 () (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t54)) % 8.51/8.79 (define @t59 () (tptp.c_member @t14 @t58 @t12)) % 8.51/8.79 (define @t60 () (=> @t59 @t57)) % 8.51/8.79 (define @t61 () (forall (@list @t50 @t54 @t51 @t12 @t7) (=> @t47 @t60))) % 8.51/8.79 (define @t62 () (@var "V_B_2" $$unsorted)) % 8.51/8.79 (define @t63 () (tptp.c_member @t7 @t50 @t62)) % 8.51/8.79 (define @t64 () (tptp.c_member @t7 @t50 @t25)) % 8.51/8.79 (define @t65 () (not @t64)) % 8.51/8.79 (define @t66 () (=> @t65 @t63)) % 8.51/8.79 (define @t67 () (not @t63)) % 8.51/8.79 (define @t68 () (=> @t64 @t67)) % 8.51/8.79 (define @t69 () (= @t25 @t62)) % 8.51/8.79 (define @t70 () (@var "V_L_2" $$unsorted)) % 8.51/8.79 (define @t71 () (@var "V_y_2" $$unsorted)) % 8.51/8.79 (define @t72 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t71)) % 8.51/8.79 (define @t73 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 8.51/8.79 (define @t74 () (tptp.c_member @t73 @t72 @t70)) % 8.51/8.79 (define @t75 () (@var "V_z_2" $$unsorted)) % 8.51/8.79 (define @t76 () (= @t10 @t75)) % 8.51/8.79 (define @t77 () (not @t76)) % 8.51/8.79 (define @t78 () (= @t10 @t71)) % 8.51/8.79 (define @t79 () (not @t78)) % 8.51/8.79 (define @t80 () (= @t71 @t75)) % 8.51/8.79 (define @t81 () (not @t80)) % 8.51/8.79 (define @t82 () (@list @t75 @t70 @t71 @t10)) % 8.51/8.79 (define @t83 () (tptp.c_Orderings_Otop__class_Otop @t7)) % 8.51/8.79 (define @t84 () (@var "T_b" $$unsorted)) % 8.51/8.79 (define @t85 () (tptp.tc_fun @t84 @t7)) % 8.51/8.79 (define @t86 () (tptp.class_Orderings_Otop @t7)) % 8.51/8.79 (define @t87 () (@list @t10 @t84 @t7)) % 8.51/8.79 (define @t88 () (tptp.c_member @t7 @t51 @t25)) % 8.51/8.79 (define @t89 () (tptp.c_member @t7 @t54 @t25)) % 8.51/8.79 (define @t90 () (= @t51 @t54)) % 8.51/8.79 (define @t91 () (@list @t25 @t7 @t54 @t51)) % 8.51/8.79 (define @t92 () (tptp.c_member @t7 @t71 @t25)) % 8.51/8.79 (define @t93 () (tptp.c_member @t7 @t10 @t25)) % 8.51/8.79 (define @t94 () (tptp.c_member @t7 @t10 @t62)) % 8.51/8.79 (define @t95 () (@list @t71 @t10 @t7)) % 8.51/8.79 (define @t96 () (tptp.hAPP @t25 @t10)) % 8.51/8.79 (define @t97 () (tptp.hBOOL @t96)) % 8.51/8.79 (define @t98 () (@list @t25 @t10 @t7)) % 8.51/8.79 (define @t99 () (@var "V_R_2" $$unsorted)) % 8.51/8.79 (define @t100 () (tptp.c_Product__Type_OPair @t7 @t84 @t10 @t71)) % 8.51/8.79 (define @t101 () (tptp.tc_prod @t7 @t84)) % 8.51/8.79 (define @t102 () (forall (@list @t71 @t10 @t99 @t84 @t7) (= (tptp.c_FunDef_Oin__rel @t7 @t84 @t99 @t10 @t71) (tptp.c_member @t101 @t100 @t99)))) % 8.51/8.79 (define @t103 () (@var "V_P_2" $$unsorted)) % 8.51/8.79 (define @t104 () (tptp.c_Recdef_Osame__fst @t7 @t84 @t103 @t99)) % 8.51/8.79 (define @t105 () (@var "V_y_H_2" $$unsorted)) % 8.51/8.79 (define @t106 () (tptp.tc_prod @t101 @t101)) % 8.51/8.79 (define @t107 () (tptp.tc_prod @t84 @t84)) % 8.51/8.79 (define @t108 () (tptp.hBOOL (tptp.hAPP @t103 @t10))) % 8.51/8.79 (define @t109 () (tptp.c_member @t84 @t54 (tptp.c_Relation_ORange @t7 @t84 @t12))) % 8.51/8.79 (define @t110 () (tptp.c_Product__Type_OPair @t7 @t84 @t51 @t54)) % 8.51/8.79 (define @t111 () (tptp.c_member @t101 @t110 @t12)) % 8.51/8.79 (define @t112 () (@list @t12 @t54 @t51 @t84 @t7)) % 8.51/8.79 (define @t113 () (forall @t112 (=> @t111 @t109))) % 8.51/8.79 (define @t114 () (tptp.c_Relation_OId__on @t7 @t25)) % 8.51/8.79 (define @t115 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t71)) % 8.51/8.79 (define @t116 () (@list @t25 @t71 @t10 @t7)) % 8.51/8.79 (define @t117 () (tptp.c_Relation_ODomain @t7 @t84 @t12)) % 8.51/8.79 (define @t118 () (tptp.c_member @t7 @t51 @t117)) % 8.51/8.79 (define @t119 () (tptp.tc_fun @t73 tptp.tc_HOL_Obool)) % 8.51/8.79 (define @t120 () (tptp.c_member @t119 @t70 tptp.c_Arrow__Order__Mirabelle_OLin)) % 8.51/8.79 (define @t121 () (tptp.hAPP @t2 @t10)) % 8.51/8.79 (define @t122 () (@list @t25 @t7)) % 8.51/8.79 (define @t123 () (tptp.c_Relation_Oinv__image @t7 @t84 @t12 @t2)) % 8.51/8.79 (define @t124 () (@list @t2 @t84 @t12 @t7)) % 8.51/8.79 (define @t125 () (@list @t10 @t70)) % 8.51/8.79 (define @t126 () (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t7 @t84 @t51 @t38) @t12)) % 8.51/8.79 (define @t127 () (@list @t38)) % 8.51/8.79 (define @t128 () (@list @t12 @t84 @t51 @t7)) % 8.51/8.79 (define @t129 () (tptp.tc_prod @t84 @t7)) % 8.51/8.79 (define @t130 () (tptp.c_Relation_ORange @t84 @t7 @t12)) % 8.51/8.79 (define @t131 () (= @t71 @t54)) % 8.51/8.79 (define @t132 () (= @t10 @t51)) % 8.51/8.79 (define @t133 () (= @t10 @t54)) % 8.51/8.79 (define @t134 () (not @t90)) % 8.51/8.79 (define @t135 () (@list @t71 @t10 @t70 @t54 @t51)) % 8.51/8.79 (define @t136 () (= @t71 @t51)) % 8.51/8.79 (define @t137 () (@list @t70 @t71 @t10)) % 8.51/8.79 (define @t138 () (@var "V_s_2" $$unsorted)) % 8.51/8.79 (define @t139 () (@var "V_b_H_2" $$unsorted)) % 8.51/8.79 (define @t140 () (@var "V_a_H_2" $$unsorted)) % 8.51/8.79 (define @t141 () (= @t51 @t140)) % 8.51/8.79 (define @t142 () (tptp.c_Product__Type_OPair @t7 @t84 @t140 @t139)) % 8.51/8.79 (define @t143 () (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t84 @t7 @t3 @t54) @t12)) % 8.51/8.79 (define @t144 () (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t51)) % 8.51/8.79 (define @t145 () (tptp.c_member @t14 @t144 @t12)) % 8.51/8.79 (define @t146 () (tptp.c_Relation_Orefl__on @t7 @t25 @t12)) % 8.51/8.79 (define @t147 () (@list @t51 @t12 @t25 @t7)) % 8.51/8.79 (define @t148 () (tptp.c_member @t14 @t115 @t12)) % 8.51/8.79 (define @t149 () (@list @t71 @t10 @t12 @t25 @t7)) % 8.51/8.79 (define @t150 () (@var "V_R2_2" $$unsorted)) % 8.51/8.79 (define @t151 () (@var "V_R1_2" $$unsorted)) % 8.51/8.79 (define @t152 () (tptp.c_Order__Relation_Opreorder__on @t7 @t25 @t12)) % 8.51/8.79 (define @t153 () (tptp.c_Wellfounded_Oacc @t7 @t12)) % 8.51/8.79 (define @t154 () (tptp.c_member @t7 @t51 @t153)) % 8.51/8.79 (define @t155 () (tptp.c_member @t7 @t54 @t153)) % 8.51/8.79 (define @t156 () (tptp.c_member @t7 @t3 @t153)) % 8.51/8.79 (define @t157 () (@list @t12 @t51 @t7)) % 8.51/8.79 (define @t158 () (@var "B_g" $$unsorted)) % 8.51/8.79 (define @t159 () (@var "V_Fa_2" $$unsorted)) % 8.51/8.79 (define @t160 () (@var "V_a1_2" $$unsorted)) % 8.51/8.79 (define @t161 () (forall @t40 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t160) @t99) (tptp.c_Recdef_Owfrec__rel @t7 @t84 @t99 @t159 @t36 (tptp.hAPP @t158 @t36))))) % 8.51/8.79 (define @t162 () (tptp.hAPP (tptp.hAPP @t159 @t158) @t160)) % 8.51/8.79 (define @t163 () (@var "V_a2_2" $$unsorted)) % 8.51/8.79 (define @t164 () (tptp.hAPP (tptp.hAPP @t159 @t163) @t160)) % 8.51/8.79 (define @t165 () (@list @t158)) % 8.51/8.79 (define @t166 () (@list @t163 @t160 @t159 @t99 @t84 @t7)) % 8.51/8.79 (define @t167 () (tptp.c_Relation_Osingle__valued @t7 @t84 @t12)) % 8.51/8.79 (define @t168 () (forall @t45 (=> (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t7 @t84 @t3 @t38) @t12) (forall @t40 (=> (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t7 @t84 @t3 @t36) @t12) (= @t38 @t36)))))) % 8.51/8.79 (define @t169 () (@list @t12 @t84 @t7)) % 8.51/8.79 (define @t170 () (tptp.c_Recdef_Ocut @t7 @t84 @t2 @t12 @t51)) % 8.51/8.79 (define @t171 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t51)) % 8.51/8.79 (define @t172 () (tptp.c_member @t14 @t171 @t12)) % 8.51/8.79 (define @t173 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t10) @t12)) % 8.51/8.79 (define @t174 () (@var "B_f" $$unsorted)) % 8.51/8.79 (define @t175 () (@var "B_R" $$unsorted)) % 8.51/8.79 (define @t176 () (tptp.c_member @t7 @t10 @t153)) % 8.51/8.79 (define @t177 () (tptp.c_Wellfounded_Oacc @t7 @t99)) % 8.51/8.79 (define @t178 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t10) @t99)) % 8.51/8.79 (define @t179 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t12)) % 8.51/8.79 (define @t180 () (tptp.c_Product__Type_OPair @t7 @t7 @t54 @t51)) % 8.51/8.79 (define @t181 () (tptp.c_member @t14 @t180 @t179)) % 8.51/8.79 (define @t182 () (tptp.c_Relation_OId @t7)) % 8.51/8.79 (define @t183 () (@list @t51 @t7)) % 8.51/8.79 (define @t184 () (@list @t7)) % 8.51/8.79 (define @t185 () (tptp.c_member @t14 @t58 @t182)) % 8.51/8.79 (define @t186 () (@list @t54 @t51 @t7)) % 8.51/8.79 (define @t187 () (forall @t186 (= @t185 @t90))) % 8.51/8.79 (define @t188 () (@var "V_p_2" $$unsorted)) % 8.51/8.79 (define @t189 () (tptp.c_member @t14 @t188 @t12)) % 8.51/8.79 (define @t190 () (@list @t12 @t188 @t7)) % 8.51/8.79 (define @t191 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t99)) % 8.51/8.79 (define @t192 () (tptp.c_member @t14 @t115 @t191)) % 8.51/8.79 (define @t193 () (tptp.c_Product__Type_OPair @t7 @t7 @t71 @t75)) % 8.51/8.79 (define @t194 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t75)) % 8.51/8.79 (define @t195 () (tptp.c_member @t14 @t194 @t179)) % 8.51/8.79 (define @t196 () (tptp.c_member @t14 @t115 @t179)) % 8.51/8.79 (define @t197 () (tptp.c_Relation_ORange @t7 @t7 @t191)) % 8.51/8.79 (define @t198 () (@list @t99 @t7)) % 8.51/8.79 (define @t199 () (forall @t198 (= @t197 @t9))) % 8.51/8.79 (define @t200 () (tptp.c_member @t14 @t52 @t179)) % 8.51/8.79 (define @t201 () (tptp.c_member @t14 @t55 @t179)) % 8.51/8.79 (define @t202 () (=> @t201 @t200)) % 8.51/8.79 (define @t203 () (tptp.c_member @t14 @t58 @t179)) % 8.51/8.79 (define @t204 () (@list @t50 @t12 @t54 @t51 @t7)) % 8.51/8.79 (define @t205 () (@var "V_by_2" $$unsorted)) % 8.51/8.79 (define @t206 () (@var "V_bx_2" $$unsorted)) % 8.51/8.79 (define @t207 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t206) @t205))) % 8.51/8.79 (define @t208 () (@var "B_ba" $$unsorted)) % 8.51/8.79 (define @t209 () (@var "B_aa" $$unsorted)) % 8.51/8.79 (define @t210 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t209) @t208))) % 8.51/8.79 (define @t211 () (@var "B_b" $$unsorted)) % 8.51/8.79 (define @t212 () (@var "B_a" $$unsorted)) % 8.51/8.79 (define @t213 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t212) @t211))) % 8.51/8.79 (define @t214 () (tptp.c_Product__Type_OPair @t7 @t84 @t209 @t208)) % 8.51/8.79 (define @t215 () (tptp.c_Product__Type_OPair @t7 @t84 @t212 @t211)) % 8.51/8.79 (define @t216 () (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t215 @t214) @t12)) % 8.51/8.79 (define @t217 () (tptp.c_Transitive__Closure_Ortrancl @t101 @t12)) % 8.51/8.79 (define @t218 () (@var "V_ay_2" $$unsorted)) % 8.51/8.79 (define @t219 () (@var "V_ax_2" $$unsorted)) % 8.51/8.79 (define @t220 () (tptp.c_Product__Type_OPair @t7 @t84 @t219 @t218)) % 8.51/8.79 (define @t221 () (@list @t212 @t211)) % 8.51/8.79 (define @t222 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t219) @t218))) % 8.51/8.79 (define @t223 () (tptp.c_Product__Type_OPair @t7 @t84 @t206 @t205)) % 8.51/8.79 (define @t224 () (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t220 @t223) @t217)) % 8.51/8.79 (define @t225 () (@list @t103 @t12 @t205 @t206 @t218 @t219 @t84 @t7)) % 8.51/8.79 (define @t226 () (@var "V_zb_2" $$unsorted)) % 8.51/8.79 (define @t227 () (@var "V_za_2" $$unsorted)) % 8.51/8.79 (define @t228 () (tptp.c_Product__Type_OPair @t7 @t84 @t227 @t226)) % 8.51/8.79 (define @t229 () (@var "V_xb_2" $$unsorted)) % 8.51/8.79 (define @t230 () (@var "V_xa_2" $$unsorted)) % 8.51/8.79 (define @t231 () (tptp.c_Product__Type_OPair @t7 @t84 @t230 @t229)) % 8.51/8.79 (define @t232 () (tptp.hBOOL (tptp.hAPP @t103 @t54))) % 8.51/8.79 (define @t233 () (tptp.hBOOL (tptp.hAPP @t103 @t36))) % 8.51/8.79 (define @t234 () (tptp.hBOOL (tptp.hAPP @t103 @t38))) % 8.51/8.79 (define @t235 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t38) @t179)) % 8.51/8.79 (define @t236 () (tptp.hBOOL (tptp.hAPP @t103 @t51))) % 8.51/8.79 (define @t237 () (@list @t103 @t12 @t54 @t51 @t7)) % 8.51/8.79 (define @t238 () (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t75)) % 8.51/8.79 (define @t239 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t38) @t12)) % 8.51/8.79 (define @t240 () (@list @t12 @t75 @t10 @t7)) % 8.51/8.79 (define @t241 () (@list @t12 @t54 @t51 @t7)) % 8.51/8.79 (define @t242 () (tptp.c_Transitive__Closure_Otrancl @t7 @t12)) % 8.51/8.79 (define @t243 () (tptp.c_member @t14 @t58 @t242)) % 8.51/8.79 (define @t244 () (tptp.tc_fun @t14 tptp.tc_HOL_Obool)) % 8.51/8.79 (define @t245 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t12 @t182)) % 8.51/8.79 (define @t246 () (@var "B_L" $$unsorted)) % 8.51/8.79 (define @t247 () (@var "V_b_H" $$unsorted)) % 8.51/8.79 (define @t248 () (@var "V_b" $$unsorted)) % 8.51/8.79 (define @t249 () (@var "V_a_H" $$unsorted)) % 8.51/8.79 (define @t250 () (@var "V_a" $$unsorted)) % 8.51/8.79 (define @t251 () (@var "B_x1" $$unsorted)) % 8.51/8.79 (define @t252 () (tptp.c_member @t14 @t180 @t12)) % 8.51/8.79 (define @t253 () (tptp.c_Relation_Oantisym @t7 @t12)) % 8.51/8.79 (define @t254 () (@list @t54 @t51 @t12 @t7)) % 8.51/8.79 (define @t255 () (= @t3 @t38)) % 8.51/8.79 (define @t256 () (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t3)) % 8.51/8.79 (define @t257 () (forall @t45 (=> @t43 (=> (tptp.c_member @t14 @t256 @t12) @t255)))) % 8.51/8.79 (define @t258 () (tptp.hAPP @t62 @t10)) % 8.51/8.79 (define @t259 () (tptp.hBOOL @t258)) % 8.51/8.79 (define @t260 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t62)) % 8.51/8.79 (define @t261 () (tptp.hBOOL (tptp.hAPP @t260 @t10))) % 8.51/8.79 (define @t262 () (@list @t10 @t62 @t25 @t7)) % 8.51/8.79 (define @t263 () (not @t259)) % 8.51/8.79 (define @t264 () (tptp.c_member @t7 @t50 @t260)) % 8.51/8.79 (define @t265 () (@list @t62 @t25 @t50 @t7)) % 8.51/8.79 (define @t266 () (forall @t265 (=> @t264 @t66))) % 8.51/8.79 (define @t267 () (@list @t25 @t62 @t50 @t7)) % 8.51/8.79 (define @t268 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t62 @t25)) % 8.51/8.79 (define @t269 () (@list @t62 @t25 @t7)) % 8.51/8.79 (define @t270 () (@var "V_C_2" $$unsorted)) % 8.51/8.79 (define @t271 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t270)) % 8.51/8.79 (define @t272 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t62 @t270)) % 8.51/8.79 (define @t273 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t272)) % 8.51/8.79 (define @t274 () (@list @t270 @t62 @t25 @t7)) % 8.51/8.79 (define @t275 () (tptp.hBOOL (tptp.hAPP @t103 @t3))) % 8.51/8.79 (define @t276 () (tptp.c_member @t7 @t3 @t62)) % 8.51/8.79 (define @t277 () (tptp.c_member @t7 @t3 @t260)) % 8.51/8.79 (define @t278 () (@list @t103 @t62 @t25 @t7)) % 8.51/8.79 (define @t279 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t12 @t138)) % 8.51/8.79 (define @t280 () (tptp.c_Relation_Orefl__on @t7 @t62 @t138)) % 8.51/8.79 (define @t281 () (@list @t138 @t62 @t12 @t25 @t7)) % 8.51/8.79 (define @t282 () (tptp.c_Relation_ORange @t84 @t7 @t62)) % 8.51/8.79 (define @t283 () (tptp.c_Relation_ORange @t84 @t7 @t25)) % 8.51/8.79 (define @t284 () (tptp.tc_fun @t129 tptp.tc_HOL_Obool)) % 8.51/8.79 (define @t285 () (tptp.c_Relation_ODomain @t7 @t84 @t62)) % 8.51/8.79 (define @t286 () (tptp.c_Relation_ODomain @t7 @t84 @t25)) % 8.51/8.79 (define @t287 () (tptp.tc_fun @t101 tptp.tc_HOL_Obool)) % 8.51/8.79 (define @t288 () (@list @t62 @t25 @t84 @t7)) % 8.51/8.79 (define @t289 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t242 @t182)) % 8.51/8.79 (define @t290 () (forall @t17 (= @t289 @t179))) % 8.51/8.79 (define @t291 () (or @t64 @t63)) % 8.51/8.79 (define @t292 () (tptp.c_member @t14 @t188 @t242)) % 8.51/8.79 (define @t293 () (@list @t62 @t7)) % 8.51/8.79 (define @t294 () (tptp.c_Transitive__Closure_Otrancl @t7 @t99)) % 8.51/8.79 (define @t295 () (@var "V_S_2" $$unsorted)) % 8.51/8.79 (define @t296 () (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t99 @t295))) % 8.51/8.79 (define @t297 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t295)) % 8.51/8.79 (define @t298 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t191 @t297)) % 8.51/8.79 (define @t299 () (@list @t295 @t99 @t7)) % 8.51/8.79 (define @t300 () (tptp.c_Relation_ODomain @t7 @t7 @t12)) % 8.51/8.79 (define @t301 () (=> @t47 (= @t242 @t12))) % 8.51/8.79 (define @t302 () (forall @t17 @t301)) % 8.51/8.79 (define @t303 () (tptp.c_Relation_ORange @t7 @t7 @t12)) % 8.51/8.79 (define @t304 () (tptp.c_member @t14 @t52 @t242)) % 8.51/8.79 (define @t305 () (=> (tptp.c_member @t14 @t55 @t242) @t304)) % 8.51/8.79 (define @t306 () (=> @t56 @t304)) % 8.51/8.79 (define @t307 () (forall @t204 (=> @t243 @t306))) % 8.51/8.79 (define @t308 () (tptp.c_member @t14 @t115 @t294)) % 8.51/8.79 (define @t309 () (@list @t99 @t71 @t10 @t7)) % 8.51/8.79 (define @t310 () (=> @t201 @t304)) % 8.51/8.79 (define @t311 () (tptp.c_member @t14 @t194 @t242)) % 8.51/8.79 (define @t312 () (@var "V_f1_2" $$unsorted)) % 8.51/8.79 (define @t313 () (@var "T_c" $$unsorted)) % 8.51/8.79 (define @t314 () (tptp.c_Product__Type_OPair @t84 @t313 @t51 @t54)) % 8.51/8.79 (define @t315 () (tptp.hAPP @t1 @t10)) % 8.51/8.79 (define @t316 () (tptp.class_Lattices_Olattice @t7)) % 8.51/8.79 (define @t317 () (@list @t10 @t1 @t2 @t84 @t7)) % 8.51/8.79 (define @t318 () (@var "V_x" $$unsorted)) % 8.51/8.79 (define @t319 () (tptp.class_Lattices_Obounded__lattice__top @t7)) % 8.51/8.79 (define @t320 () (@list @t318 @t7)) % 8.51/8.79 (define @t321 () (tptp.c_Order__Relation_Opartial__order__on @t7 @t25 @t12)) % 8.51/8.80 (define @t322 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t103)) % 8.51/8.80 (define @t323 () (tptp.c_member @t14 @t58 @t322)) % 8.51/8.80 (define @t324 () (@var "V_Q_2" $$unsorted)) % 8.51/8.80 (define @t325 () (tptp.c_member @t14 @t58 (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t103 @t324)))) % 8.51/8.80 (define @t326 () (@list @t324 @t103 @t54 @t51 @t7)) % 8.51/8.80 (define @t327 () (tptp.class_Lattices_Osemilattice__sup @t7)) % 8.51/8.80 (define @t328 () (@list @t250 @t7)) % 8.51/8.80 (define @t329 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t250 @t248)) % 8.51/8.80 (define @t330 () (@list @t248 @t250 @t7)) % 8.51/8.80 (define @t331 () (@var "V_y" $$unsorted)) % 8.51/8.80 (define @t332 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t331 @t318)) % 8.51/8.80 (define @t333 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t331)) % 8.51/8.80 (define @t334 () (= @t333 @t332)) % 8.51/8.80 (define @t335 () (@list @t331 @t318 @t7)) % 8.51/8.80 (define @t336 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t333) @t333)) % 8.51/8.80 (define @t337 () (@var "V_c" $$unsorted)) % 8.51/8.80 (define @t338 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t250 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t248 @t337))) % 8.51/8.80 (define @t339 () (@list @t337 @t250 @t248 @t7)) % 8.51/8.80 (define @t340 () (@var "V_z" $$unsorted)) % 8.51/8.80 (define @t341 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t340)) % 8.51/8.80 (define @t342 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t331 @t340)) % 8.51/8.80 (define @t343 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t342)) % 8.51/8.80 (define @t344 () (= @t343 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t331 @t341))) % 8.51/8.80 (define @t345 () (@list @t340 @t331 @t318 @t7)) % 8.51/8.80 (define @t346 () (@list @t337 @t248 @t250 @t7)) % 8.51/8.80 (define @t347 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t333 @t340) @t343)) % 8.51/8.80 (define @t348 () (tptp.c_Order__Relation_Olinear__order__on @t7 @t25 @t12)) % 8.51/8.80 (define @t349 () (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t71)) % 8.51/8.80 (define @t350 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t36)) % 8.51/8.80 (define @t351 () (tptp.c_member @t14 @t349 @t99)) % 8.51/8.80 (define @t352 () (tptp.c_member @t14 @t350 @t191)) % 8.51/8.80 (define @t353 () (and @t352 @t351)) % 8.51/8.80 (define @t354 () (exists @t40 @t353)) % 8.51/8.80 (define @t355 () (=> @t308 @t354)) % 8.51/8.80 (define @t356 () (forall @t309 @t355)) % 8.51/8.80 (define @t357 () (forall @t6 (not (tptp.c_member @t14 @t13 @t242)))) % 8.51/8.80 (define @t358 () (tptp.c_Wellfounded_Oacyclic @t7 @t12)) % 8.51/8.80 (define @t359 () (tptp.c_Groups_Ominus__class_Ominus @t244 @t12 @t182)) % 8.51/8.80 (define @t360 () (not @t196)) % 8.51/8.80 (define @t361 () (tptp.c_Set_Oinsert @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t71 @t10) @t12)) % 8.51/8.80 (define @t362 () (@list @t12 @t10 @t71 @t7)) % 8.51/8.80 (define @t363 () (tptp.c_Relation_OField @t7 @t12)) % 8.51/8.80 (define @t364 () (tptp.c_Set_Oinsert @t7 @t54 @t62)) % 8.51/8.80 (define @t365 () (tptp.c_member @t7 @t51 @t364)) % 8.51/8.80 (define @t366 () (tptp.c_member @t7 @t51 @t62)) % 8.51/8.80 (define @t367 () (not @t366)) % 8.51/8.80 (define @t368 () (=> @t367 @t90)) % 8.51/8.80 (define @t369 () (=> @t368 @t365)) % 8.51/8.80 (define @t370 () (@list @t54 @t62 @t51 @t7)) % 8.51/8.80 (define @t371 () (forall @t370 @t369)) % 8.51/8.80 (define @t372 () (tptp.c_member @t7 @t51 (tptp.c_Set_Oinsert @t7 @t54 @t25))) % 8.51/8.80 (define @t373 () (@list @t25 @t54 @t51 @t7)) % 8.51/8.80 (define @t374 () (=> @t64 @t63)) % 8.51/8.80 (define @t375 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t62)) % 8.51/8.80 (define @t376 () (tptp.c_member @t7 @t50 @t375)) % 8.51/8.80 (define @t377 () (tptp.c_Product__Type_OPair @t84 @t7 @t51 @t54)) % 8.51/8.80 (define @t378 () (tptp.c_Set_Oinsert @t7 @t51 @t62)) % 8.51/8.80 (define @t379 () (tptp.c_Set_Oinsert @t7 @t10 @t62)) % 8.51/8.80 (define @t380 () (tptp.c_Set_Oinsert @t7 @t10 @t25)) % 8.51/8.80 (define @t381 () (not @t94)) % 8.51/8.80 (define @t382 () (not @t93)) % 8.51/8.80 (define @t383 () (@list @t62 @t25 @t10 @t7)) % 8.51/8.80 (define @t384 () (tptp.c_Set_Oinsert @t7 @t51 @t25)) % 8.51/8.80 (define @t385 () (@list @t25 @t51 @t7)) % 8.51/8.80 (define @t386 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t380 @t62)) % 8.51/8.80 (define @t387 () (=> @t94 (= @t386 @t375))) % 8.51/8.80 (define @t388 () (@list @t25 @t62 @t10 @t7)) % 8.51/8.80 (define @t389 () (tptp.c_Set_Oinsert @t7 @t71 @t25)) % 8.51/8.80 (define @t390 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t62 @t270)) % 8.51/8.80 (define @t391 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t270)) % 8.51/8.80 (define @t392 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t62 @t25)) % 8.51/8.80 (define @t393 () (@list @t25 @t62 @t7)) % 8.51/8.80 (define @t394 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t392)) % 8.51/8.80 (define @t395 () (@list @t62 @t51 @t25 @t7)) % 8.51/8.80 (define @t396 () (tptp.c_Relation_OField @t7 @t138)) % 8.51/8.80 (define @t397 () (@list @t138 @t12 @t7)) % 8.51/8.80 (define @t398 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 8.51/8.80 (define @t399 () (tptp.c_Set_Oinsert @t7 @t54 @t398)) % 8.51/8.80 (define @t400 () (tptp.c_Set_Oinsert @t7 @t51 @t399)) % 8.51/8.80 (define @t401 () (tptp.c_Wellfounded_Owf @t7 @t12)) % 8.51/8.80 (define @t402 () (@var "B_c" $$unsorted)) % 8.51/8.80 (define @t403 () (not @t59)) % 8.51/8.80 (define @t404 () (tptp.class_Orderings_Opreorder @t7)) % 8.51/8.80 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t62 @t25)) % 8.51/8.80 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t62)) % 8.51/8.80 (define @t407 () (tptp.c_Orderings_Obot__class_Obot @t244)) % 8.51/8.80 (define @t408 () (@var "V_rb_2" $$unsorted)) % 8.51/8.80 (define @t409 () (@var "V_ra_2" $$unsorted)) % 8.51/8.80 (define @t410 () (tptp.c_Set_Oinsert @t7 @t10 @t398)) % 8.51/8.80 (define @t411 () (= @t25 @t398)) % 8.51/8.80 (define @t412 () (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t12 @t138)) % 8.51/8.80 (define @t413 () (tptp.c_Orderings_Obot__class_Obot @t287)) % 8.51/8.80 (define @t414 () (tptp.c_Orderings_Obot__class_Obot @t284)) % 8.51/8.80 (define @t415 () (tptp.c_Orderings_Obot__class_Obot @t7)) % 8.51/8.80 (define @t416 () (tptp.class_Orderings_Obot @t7)) % 8.51/8.80 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t7 @t84) @t2 @t1)) % 8.51/8.80 (define @t418 () (tptp.class_Orderings_Oord @t84)) % 8.51/8.80 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t331 @t318)) % 8.51/8.80 (define @t420 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t331)) % 8.51/8.80 (define @t421 () (tptp.class_Orderings_Olinorder @t7)) % 8.51/8.80 (define @t422 () (@list @t7 @t62 @t25)) % 8.51/8.80 (define @t423 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t71 @t10)) % 8.51/8.80 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 @t71)) % 8.51/8.80 (define @t425 () (tptp.class_Orderings_Oorder @t7)) % 8.51/8.80 (define @t426 () (tptp.hBOOL (tptp.hAPP @t324 @t10))) % 8.51/8.80 (define @t427 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t103 @t324)) % 8.51/8.80 (define @t428 () (= @t318 @t331)) % 8.51/8.80 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t250 @t337)) % 8.51/8.80 (define @t430 () (= @t250 @t248)) % 8.51/8.80 (define @t431 () (tptp.class_Orderings_Oord @t7)) % 8.51/8.80 (define @t432 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t337 @t250)) % 8.51/8.80 (define @t433 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t270)) % 8.51/8.80 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t62 @t270)) % 8.51/8.80 (define @t435 () (= @t248 @t337)) % 8.51/8.80 (define @t436 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t340)) % 8.51/8.80 (define @t437 () (@list @t318 @t331 @t7)) % 8.51/8.80 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t340 @t318)) % 8.51/8.80 (define @t439 () (@list @t340 @t318 @t331 @t7)) % 8.51/8.80 (define @t440 () (tptp.c_Orderings_Oord__class_Oless__eq @t287 @t12 @t138)) % 8.51/8.80 (define @t441 () (@list @t138 @t12 @t84 @t7)) % 8.51/8.80 (define @t442 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t333)) % 8.51/8.80 (define @t443 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t331 @t333)) % 8.51/8.80 (define @t444 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t10 @t71)) % 8.51/8.80 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 @t75)) % 8.51/8.80 (define @t446 () (@list @t75 @t71 @t10 @t7)) % 8.51/8.80 (define @t447 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t329)) % 8.51/8.80 (define @t448 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t250)) % 8.51/8.80 (define @t449 () (@list @t248 @t250 @t318 @t7)) % 8.51/8.80 (define @t450 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t248)) % 8.51/8.80 (define @t451 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t329 @t318)) % 8.51/8.80 (define @t452 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t248 @t318)) % 8.51/8.80 (define @t453 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t250 @t318)) % 8.51/8.80 (define @t454 () (@list @t248 @t318 @t250 @t7)) % 8.51/8.80 (define @t455 () (@var "V_d" $$unsorted)) % 8.51/8.80 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t248 @t455)) % 8.51/8.80 (define @t457 () (@list @t455 @t248 @t337 @t250 @t7)) % 8.51/8.80 (define @t458 () (not @t29)) % 8.51/8.80 (define @t459 () (not @t88)) % 8.51/8.80 (define @t460 () (@var "V_D_2" $$unsorted)) % 8.51/8.80 (define @t461 () (= @t260 @t62)) % 8.51/8.80 (define @t462 () (@list @t62 @t270 @t25 @t7)) % 8.51/8.80 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t62 @t460)) % 8.51/8.80 (define @t464 () (@list @t460 @t62 @t270 @t25 @t7)) % 8.51/8.80 (define @t465 () (@var "V_d_2" $$unsorted)) % 8.51/8.80 (define @t466 () (@list @t465 @t50 @t54 @t51 @t7)) % 8.51/8.80 (define @t467 () (tptp.c_Set_Oinsert @t7 @t51 @t398)) % 8.51/8.80 (define @t468 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t138)) % 8.51/8.80 (define @t469 () (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t179 @t468)) % 8.51/8.80 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t379)) % 8.51/8.80 (define @t471 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t410)) % 8.51/8.80 (define @t472 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t471 @t62)) % 8.51/8.80 (define @t473 () (@list @t62 @t10 @t25 @t7)) % 8.51/8.80 (define @t474 () (tptp.class_Lattices_Obounded__lattice__bot @t7)) % 8.51/8.80 (define @t475 () (= @t54 @t51)) % 8.51/8.80 (define @t476 () (tptp.c_member @t7 @t54 @t467)) % 8.51/8.80 (define @t477 () (@list @t51 @t54 @t7)) % 8.51/8.80 (define @t478 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t378)) % 8.51/8.80 (define @t479 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t467)) % 8.51/8.80 (define @t480 () (tptp.c_Set_Oinsert @t7 @t51 @t479)) % 8.51/8.80 (define @t481 () (tptp.c_Relation_OImage @t7 @t7 @t12 @t399)) % 8.51/8.80 (define @t482 () (tptp.c_Relation_OImage @t7 @t7 @t12 @t467)) % 8.51/8.80 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t482 @t481)) % 8.51/8.80 (define @t484 () (tptp.c_member @t7 @t54 @t363)) % 8.51/8.80 (define @t485 () (tptp.c_member @t7 @t51 @t363)) % 8.51/8.80 (define @t486 () (tptp.c_Order__Relation_Opreorder__on @t7 @t363 @t12)) % 8.51/8.80 (define @t487 () (tptp.tc_fun @t84 tptp.tc_HOL_Obool)) % 8.51/8.80 (define @t488 () (tptp.c_Orderings_Obot__class_Obot @t487)) % 8.51/8.80 (define @t489 () (tptp.c_Relation_OImage @t7 @t84 @t12 @t25)) % 8.51/8.80 (define @t490 () (@var "V_A_H_2" $$unsorted)) % 8.51/8.80 (define @t491 () (@var "V_r_H_2" $$unsorted)) % 8.51/8.80 (define @t492 () (tptp.c_Relation_OImage @t84 @t7 @t99 @t62)) % 8.51/8.80 (define @t493 () (tptp.c_Relation_OImage @t84 @t7 @t99 @t25)) % 8.51/8.80 (define @t494 () (@var "V_X_2" $$unsorted)) % 8.51/8.80 (define @t495 () (tptp.c_member @t84 @t3 @t25)) % 8.51/8.80 (define @t496 () (and @t495 @t143)) % 8.51/8.80 (define @t497 () (exists @t6 @t496)) % 8.51/8.80 (define @t498 () (tptp.c_member @t7 @t54 (tptp.c_Relation_OImage @t84 @t7 @t12 @t25))) % 8.51/8.80 (define @t499 () (= @t498 @t497)) % 8.51/8.80 (define @t500 () (@list @t25 @t12 @t84 @t54 @t7)) % 8.51/8.80 (define @t501 () (forall @t500 @t499)) % 8.51/8.80 (define @t502 () (forall (@list @t51 @t12 @t84 @t54 @t7) (= (tptp.c_member @t7 @t54 (tptp.c_Relation_OImage @t84 @t7 @t12 (tptp.c_Set_Oinsert @t84 @t51 @t488))) (tptp.c_member @t129 @t377 @t12)))) % 8.51/8.80 (define @t503 () (= @t482 @t481)) % 8.51/8.80 (define @t504 () (=> @t485 (=> @t484 (= @t503 @t90)))) % 8.51/8.80 (define @t505 () (tptp.c_member @t7 @t18 @t62)) % 8.51/8.80 (define @t506 () (@var "V_a4_2" $$unsorted)) % 8.51/8.80 (define @t507 () (@var "V_a3_2" $$unsorted)) % 8.51/8.80 (define @t508 () (@var "V_a5_2" $$unsorted)) % 8.51/8.80 (define @t509 () (tptp.hAPP (tptp.hAPP @t507 @t160) @t508)) % 8.51/8.80 (define @t510 () (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t51 @t54) (tptp.c_Groups_Ominus__class_Ominus @t7 @t50 @t465))) % 8.51/8.80 (define @t511 () (=> @t89 @t59)) % 8.51/8.80 (define @t512 () (tptp.c_Equiv__Relations_Oequiv @t7 @t25 @t12)) % 8.51/8.80 (define @t513 () (@var "V_H_2" $$unsorted)) % 8.51/8.80 (define @t514 () (tptp.c_Recdef_Owfrec @t7 @t84 @t12 @t513)) % 8.51/8.80 (define @t515 () (@list @t54 @t51 @t12 @t25 @t7)) % 8.51/8.80 (define @t516 () (tptp.c_Set_Oinsert @t7 @t71 @t398)) % 8.51/8.80 (define @t517 () (= (tptp.c_Relation_OImage @t7 @t7 @t12 @t410) (tptp.c_Relation_OImage @t7 @t7 @t12 @t516))) % 8.51/8.80 (define @t518 () (@var "B_M" $$unsorted)) % 8.51/8.80 (define @t519 () (tptp.c_Recdef_Owfrec @t7 @t84 @t175 @t518)) % 8.51/8.80 (define @t520 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t62)) % 8.51/8.80 (define @t521 () (tptp.hBOOL (tptp.hAPP @t520 @t10))) % 8.51/8.80 (define @t522 () (tptp.c_member @t7 @t50 @t520)) % 8.51/8.80 (define @t523 () (@var "V_Y_2" $$unsorted)) % 8.51/8.80 (define @t524 () (tptp.c_Equiv__Relations_Oquotient @t7 @t25 @t12)) % 8.51/8.80 (define @t525 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t8 tptp.tc_HOL_Obool))) % 8.51/8.80 (define @t526 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t331)) % 8.51/8.80 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t526 @t318)) % 8.51/8.80 (define @t528 () (tptp.class_Lattices_Osemilattice__inf @t7)) % 8.51/8.80 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t526 @t331)) % 8.51/8.80 (define @t530 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t10 @t71)) % 8.51/8.80 (define @t531 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t250 @t248)) % 8.51/8.80 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t531 @t318)) % 8.51/8.80 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t531)) % 8.51/8.80 (define @t534 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t331 @t340)) % 8.51/8.80 (define @t535 () (@list @t491 @t12 @t7)) % 8.51/8.80 (define @t536 () (= @t520 @t398)) % 8.51/8.80 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t25)) % 8.51/8.80 (define @t538 () (@list @t62 @t25 @t270 @t7)) % 8.51/8.80 (define @t539 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t333 @t341)) % 8.51/8.80 (define @t540 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t534)) % 8.51/8.80 (define @t541 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t342)) % 8.51/8.80 (define @t542 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t340)) % 8.51/8.80 (define @t543 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t526 @t542)) % 8.51/8.80 (define @t544 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t62 @t270)) % 8.51/8.80 (define @t545 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t378 @t270)) % 8.51/8.80 (define @t546 () (tptp.c_member @t7 @t51 @t270)) % 8.51/8.80 (define @t547 () (=> @t546 (= @t545 (tptp.c_Set_Oinsert @t7 @t51 @t544)))) % 8.51/8.80 (define @t548 () (@list @t62 @t270 @t51 @t7)) % 8.51/8.80 (define @t549 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t378)) % 8.51/8.80 (define @t550 () (=> @t88 (= @t549 (tptp.c_Set_Oinsert @t7 @t51 @t520)))) % 8.51/8.80 (define @t551 () (@list @t62 @t25 @t51 @t7)) % 8.51/8.80 (define @t552 () (=> (not @t546) (= @t545 @t544))) % 8.51/8.80 (define @t553 () (=> @t459 (= @t549 @t520))) % 8.51/8.80 (define @t554 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t272)) % 8.51/8.80 (define @t555 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t331 @t318)) % 8.51/8.80 (define @t556 () (= @t526 @t555)) % 8.51/8.80 (define @t557 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t526) @t526)) % 8.51/8.80 (define @t558 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t250 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t248 @t337))) % 8.51/8.80 (define @t559 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t534)) % 8.51/8.80 (define @t560 () (= @t559 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t331 @t542))) % 8.51/8.80 (define @t561 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t526 @t340) @t559)) % 8.51/8.80 (define @t562 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t62 @t25)) % 8.51/8.80 (define @t563 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t270)) % 8.51/8.80 (define @t564 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t544)) % 8.51/8.80 (define @t565 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t244 @t12 @t138)) % 8.51/8.80 (define @t566 () (tptp.class_Lattices_Odistrib__lattice @t7)) % 8.51/8.80 (define @t567 () (@list @t318 @t340 @t331 @t7)) % 8.51/8.80 (define @t568 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t563 @t544)) % 8.51/8.80 (define @t569 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t270 @t25)) % 8.51/8.80 (define @t570 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t270 @t25)) % 8.51/8.80 (define @t571 () (@list @t25 @t270 @t62 @t7)) % 8.51/8.80 (define @t572 () (@var "T_1" $$unsorted)) % 8.51/8.80 (define @t573 () (@var "T_2" $$unsorted)) % 8.51/8.80 (define @t574 () (tptp.tc_fun @t573 @t572)) % 8.51/8.80 (define @t575 () (tptp.class_Lattices_Obounded__lattice @t572)) % 8.51/8.80 (define @t576 () (@list @t573 @t572)) % 8.51/8.80 (define @t577 () (tptp.class_Lattices_Olattice @t572)) % 8.51/8.80 (define @t578 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t10) @t71))) % 8.51/8.80 (define @t579 () (@list @t71 @t10)) % 8.51/8.80 (define @t580 () (tptp.hAPP tptp.v_P @t3)) % 8.51/8.80 (define @t581 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_HOL_Obool)) % 8.51/8.80 (define @t582 () (tptp.c_Orderings_Otop__class_Otop @t581)) % 8.51/8.80 (define @t583 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t582 @t580)) % 8.51/8.80 (define @t584 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t580)) % 8.51/8.80 (define @t585 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t580)) % 8.51/8.80 (define @t586 () (forall @t6 (and @t585 @t584 @t583))) % 8.51/8.80 (define @t587 () (tptp.v_F tptp.v_P)) % 8.51/8.80 (define @t588 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a tptp.v_b)) % 8.51/8.80 (define @t589 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t587)) % 8.51/8.80 (define @t590 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t587)) % 8.51/8.80 (define @t591 () (and @t590 @t589 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t582 @t587))) % 8.51/8.80 (define @t592 () (=> @t586 @t591)) % 8.51/8.80 (define @t593 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t212 @t211)) % 8.51/8.80 (define @t594 () (tptp.c_member @t73 @t593 @t587)) % 8.51/8.80 (define @t595 () (tptp.hAPP tptp.v_P tptp.v_i)) % 8.51/8.80 (define @t596 () (tptp.c_member @t73 @t593 @t595)) % 8.51/8.80 (define @t597 () (=> @t596 @t594)) % 8.51/8.80 (define @t598 () (= @t212 @t211)) % 8.51/8.80 (define @t599 () (not @t598)) % 8.51/8.80 (define @t600 () (forall @t221 (=> @t599 @t597))) % 8.51/8.80 (define @t601 () (=> @t586 @t600)) % 8.51/8.80 (define @t602 () (tptp.c_member @t73 @t588 @t595)) % 8.51/8.80 (define @t603 () (@list @t587 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 8.51/8.80 (define @t604 () (forall @t6 @t583)) % 8.51/8.80 (define @t605 () (@list @t3)) % 8.51/8.80 (define @t606 () (@var "BOUND_VARIABLE_12790" $$unsorted)) % 8.51/8.80 (define @t607 () (forall @t6 @t584)) % 8.51/8.80 (define @t608 () (@var "BOUND_VARIABLE_12784" $$unsorted)) % 8.51/8.80 (define @t609 () (forall @t6 @t585)) % 8.51/8.80 (define @t610 () (@var "BOUND_VARIABLE_12778" $$unsorted)) % 8.51/8.80 (define @t611 () (and @t609 @t607 @t604)) % 8.51/8.80 (define @t612 () (and (forall (@list @t610) (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t610))) (forall (@list @t608) (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t608))) (forall (@list @t606) (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t582 (tptp.hAPP tptp.v_P @t606))))) % 8.51/8.80 (define @t613 () (not @t612)) % 8.51/8.80 (define @t614 () (@list false)) % 8.51/8.80 (define @t615 () (@list @t612)) % 8.51/8.80 (define @t616 () (not @t591)) % 8.51/8.80 (define @t617 () (@list @t591)) % 8.51/8.80 (define @t618 () (forall @t6 (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t3) @t587)))) % 8.51/8.80 (define @t619 () (= @t589 @t618)) % 8.51/8.80 (define @t620 () (@list false false)) % 8.51/8.80 (define @t621 () (= @t12 @t242)) % 8.51/8.80 (define @t622 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Arrow__Order__Mirabelle_Oalt @t587)) % 8.51/8.80 (define @t623 () (= @t587 @t622)) % 8.51/8.80 (define @t624 () (not @t590)) % 8.51/8.80 (define @t625 () (or @t624 @t623)) % 8.51/8.80 (define @t626 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a tptp.v_a)) % 8.51/8.80 (define @t627 () (tptp.c_member @t73 @t626 @t622)) % 8.51/8.80 (define @t628 () (not @t56)) % 8.51/8.80 (define @t629 () (not @t243)) % 8.51/8.80 (define @t630 () (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Arrow__Order__Mirabelle_Oalt @t587)) % 8.51/8.80 (define @t631 () (forall @t40 (or (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t36) @t630)) (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t36 tptp.v_b) @t587))))) % 8.51/8.80 (define @t632 () (@quantifiers_skolemize @t631 0)) % 8.51/8.80 (define @t633 () (not @t264)) % 8.51/8.80 (define @t634 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t632)) % 8.51/8.80 (define @t635 () (tptp.c_Relation_OId tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 8.51/8.80 (define @t636 () (not (forall @t40 (or (not @t352) (not @t351))))) % 8.51/8.80 (define @t637 () (forall @t40 (not @t353))) % 8.51/8.80 (define @t638 () (not @t637)) % 8.51/8.80 (define @t639 () (tptp.c_member @t73 @t588 @t622)) % 8.51/8.80 (define @t640 () (not @t631)) % 8.51/8.80 (define @t641 () (not @t639)) % 8.51/8.80 (define @t642 () (or @t641 @t640)) % 8.51/8.80 (define @t643 () (tptp.c_member @t73 @t634 @t630)) % 8.51/8.80 (define @t644 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t632 tptp.v_b)) % 8.51/8.80 (define @t645 () (tptp.c_member @t73 @t644 @t587)) % 8.51/8.80 (define @t646 () (not @t645)) % 8.51/8.80 (define @t647 () (not @t643)) % 8.51/8.80 (define @t648 () (or @t647 @t646)) % 8.51/8.80 (define @t649 () (@list true)) % 8.51/8.80 (define @t650 () (@list @t648)) % 8.51/8.80 (define @t651 () (tptp.c_member @t73 @t634 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t119 @t622 @t635))) % 8.51/8.80 (define @t652 () (tptp.c_member @t73 @t634 @t635)) % 8.51/8.80 (define @t653 () (= @t632 tptp.v_a)) % 8.51/8.80 (define @t654 () (forall @t186 (= @t185 @t475))) % 8.51/8.80 (define @t655 () (= @t652 @t653)) % 8.51/8.80 (define @t656 () (= tptp.v_a @t632)) % 8.51/8.80 (define @t657 () (= @t656 @t652)) % 8.51/8.80 (define @t658 () (forall @t6 (not @t496))) % 8.51/8.80 (define @t659 () (not @t658)) % 8.51/8.80 (define @t660 () (tptp.c_Orderings_Obot__class_Obot @t581)) % 8.51/8.80 (define @t661 () (tptp.c_Set_Oinsert tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t660)) % 8.51/8.80 (define @t662 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b (tptp.c_Relation_OImage tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t595 @t661))) % 8.51/8.80 (define @t663 () (= @t662 @t602)) % 8.51/8.80 (define @t664 () (= @t602 @t662)) % 8.51/8.80 (define @t665 () (not @t662)) % 8.51/8.80 (define @t666 () (@list true false)) % 8.51/8.80 (define @t667 () (forall @t6 (or (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t661)) (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 tptp.v_b) @t595))))) % 8.51/8.80 (define @t668 () (not @t667)) % 8.51/8.80 (define @t669 () (= @t662 @t668)) % 8.51/8.80 (define @t670 () (not @t669)) % 8.51/8.80 (define @t671 () (@var "BOUND_VARIABLE_10292" $$unsorted)) % 8.51/8.80 (define @t672 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t671 @t3) @t12)) % 8.51/8.80 (define @t673 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t671) @t12)) % 8.51/8.80 (define @t674 () (= @t3 @t671)) % 8.51/8.80 (define @t675 () (not (tptp.c_member @t7 @t671 @t25))) % 8.51/8.80 (define @t676 () (or @t675 @t674 @t673 @t672)) % 8.51/8.80 (define @t677 () (or @t458 @t676)) % 8.51/8.80 (define @t678 () (@list @t3 @t671)) % 8.51/8.80 (define @t679 () (forall @t678 @t677)) % 8.51/8.80 (define @t680 () (@list @t671)) % 8.51/8.80 (define @t681 () (forall @t680 @t677)) % 8.51/8.80 (define @t682 () (forall @t680 @t676)) % 8.51/8.80 (define @t683 () (or @t458 @t682)) % 8.51/8.80 (define @t684 () (not @t26)) % 8.51/8.80 (define @t685 () (or @t684 @t22 @t20 @t19)) % 8.51/8.80 (define @t686 () (forall @t27 @t685)) % 8.51/8.80 (define @t687 () (or @t22 @t20 @t19)) % 8.51/8.80 (define @t688 () (@list tptp.v_i)) % 8.51/8.80 (define @t689 () (forall @t678 (or (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t582)) (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t671 @t582)) @t674 (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t671) @t595) (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t671 @t3) @t595)))) % 8.51/8.80 (define @t690 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t582 @t595)) % 8.51/8.80 (define @t691 () (= @t690 @t689)) % 8.51/8.80 (define @t692 () (@list tptp.v_b @t632)) % 8.51/8.80 (define @t693 () (not @t596)) % 8.51/8.80 (define @t694 () (or @t598 @t693 @t594)) % 8.51/8.80 (define @t695 () (forall @t221 @t694)) % 8.51/8.80 (define @t696 () (not @t47)) % 8.51/8.80 (define @t697 () (or @t403 @t628 @t53)) % 8.51/8.80 (define @t698 () (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b tptp.v_b) @t587)) % 8.51/8.80 (define @t699 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b @t632)) % 8.51/8.80 (define @t700 () (tptp.c_member @t73 @t699 @t587)) % 8.51/8.80 (define @t701 () (not @t700)) % 8.51/8.80 (define @t702 () (or @t624 @t701 @t646 @t698)) % 8.51/8.80 (define @t703 () (tptp.c_FunDef_Oin__rel tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t587 @t632 tptp.v_b)) % 8.51/8.80 (define @t704 () (= @t703 @t645)) % 8.51/8.80 (define @t705 () (= @t645 @t703)) % 8.51/8.80 (define @t706 () (@list @t102)) % 8.51/8.80 (define @t707 () (tptp.c_FunDef_Oin__rel tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t587 tptp.v_b tptp.v_b)) % 8.51/8.80 (define @t708 () (= @t707 @t698)) % 8.51/8.80 (define @t709 () (= @t698 @t707)) % 8.51/8.80 (define @t710 () (not @t707)) % 8.51/8.80 (define @t711 () (= tptp.v_b @t632)) % 8.51/8.80 (define @t712 () (not @t711)) % 8.51/8.80 (define @t713 () (not @t703)) % 8.51/8.80 (define @t714 () (and @t710 @t711 @t703)) % 8.51/8.80 (define @t715 () (tptp.c_member @t73 @t699 @t595)) % 8.51/8.80 (define @t716 () (not @t715)) % 8.51/8.80 (define @t717 () (or @t711 @t716 @t700)) % 8.51/8.80 (define @t718 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t632 (tptp.c_Relation_ORange tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t630))) % 8.51/8.80 (define @t719 () (or @t647 @t718)) % 8.51/8.80 (define @t720 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t632 @t582)) % 8.51/8.80 (define @t721 () (tptp.c_member @t73 @t644 @t595)) % 8.51/8.80 (define @t722 () (not @t720)) % 8.51/8.80 (define @t723 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b @t582)) % 8.51/8.80 (define @t724 () (not @t723)) % 8.51/8.80 (define @t725 () (or @t724 @t722 @t711 @t715 @t721)) % 8.51/8.80 (define @t726 () (not @t721)) % 8.51/8.80 (define @t727 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t632 @t661)) % 8.51/8.80 (define @t728 () (not @t727)) % 8.51/8.80 (define @t729 () (or @t728 @t726)) % 8.51/8.80 (define @t730 () (@var "BOUND_VARIABLE_11355" $$unsorted)) % 8.51/8.80 (define @t731 () (@var "BOUND_VARIABLE_11357" $$unsorted)) % 8.51/8.80 (define @t732 () (@var "BOUND_VARIABLE_11359" $$unsorted)) % 8.51/8.80 (define @t733 () (tptp.c_member @t732 @t731 (tptp.c_Set_Oinsert @t732 @t731 @t730))) % 8.51/8.80 (define @t734 () (not (= @t731 @t731))) % 8.51/8.80 (define @t735 () (or @t734 @t733)) % 8.51/8.80 (define @t736 () (@list @t730 @t731 @t732)) % 8.51/8.80 (define @t737 () (@var "BOUND_VARIABLE_11353" $$unsorted)) % 8.51/8.80 (define @t738 () (tptp.c_member @t732 @t731 (tptp.c_Set_Oinsert @t732 @t737 @t730))) % 8.51/8.80 (define @t739 () (not (= @t737 @t731))) % 8.51/8.80 (define @t740 () (or @t739 @t739 @t738)) % 8.51/8.80 (define @t741 () (@list @t737)) % 8.51/8.80 (define @t742 () (or @t739 @t738)) % 8.51/8.80 (define @t743 () (forall @t741 @t742)) % 8.51/8.80 (define @t744 () (forall @t736 @t743)) % 8.51/8.80 (define @t745 () (forall (@list @t730 @t731 @t732 @t737) @t742)) % 8.51/8.80 (define @t746 () (forall (@list @t737 @t730 @t731 @t732) @t742)) % 8.51/8.80 (define @t747 () (@var "BOUND_VARIABLE_11340" $$unsorted)) % 8.51/8.80 (define @t748 () (@var "BOUND_VARIABLE_11338" $$unsorted)) % 8.51/8.80 (define @t749 () (@var "BOUND_VARIABLE_11344" $$unsorted)) % 8.51/8.80 (define @t750 () (@var "BOUND_VARIABLE_11342" $$unsorted)) % 8.51/8.80 (define @t751 () (forall (@list @t748 @t747 @t750 @t749) (or (not (tptp.c_member @t749 @t750 @t747)) (tptp.c_member @t749 @t750 (tptp.c_Set_Oinsert @t749 @t748 @t747))))) % 8.51/8.80 (define @t752 () (not @t475)) % 8.51/8.80 (define @t753 () (or @t752 @t365)) % 8.51/8.80 (define @t754 () (forall @t370 @t753)) % 8.51/8.80 (define @t755 () (@list @t54 @t62 @t51 @t7)) % 8.51/8.80 (define @t756 () (or @t367 @t365)) % 8.51/8.80 (define @t757 () (forall @t370 @t756)) % 8.51/8.80 (define @t758 () (and @t757 @t754)) % 8.51/8.80 (define @t759 () (=> @t367 @t475)) % 8.51/8.80 (define @t760 () (not @t656)) % 8.51/8.80 (define @t761 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t661)) % 8.51/8.80 (define @t762 () (not @t761)) % 8.51/8.80 (define @t763 () (not @t652)) % 8.51/8.80 (define @t764 () (tptp.c_member @t73 @t634 @t622)) % 8.51/8.80 (define @t765 () (not @t651)) % 8.51/8.80 (define @t766 () (or @t765 @t764 @t652)) % 8.51/8.80 (define @t767 () (@list true false false)) % 8.51/8.80 (define @t768 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t632 tptp.v_a)) % 8.51/8.80 (define @t769 () (tptp.c_member @t73 @t768 @t587)) % 8.51/8.80 (define @t770 () (tptp.c_member @t73 @t768 @t595)) % 8.51/8.80 (define @t771 () (not @t770)) % 8.51/8.80 (define @t772 () (or @t653 @t771 @t769)) % 8.51/8.80 (define @t773 () (or @t656 @t771 @t769)) % 8.51/8.80 (define @t774 () (@var "BOUND_VARIABLE_10318" $$unsorted)) % 8.51/8.80 (define @t775 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t774) @t12)) % 8.51/8.80 (define @t776 () (not (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t774) @t12))) % 8.51/8.80 (define @t777 () (not @t43)) % 8.51/8.80 (define @t778 () (or @t776 @t775)) % 8.51/8.80 (define @t779 () (or @t777 @t778)) % 8.51/8.80 (define @t780 () (@list @t3 @t38 @t774)) % 8.51/8.80 (define @t781 () (forall @t780 @t779)) % 8.51/8.80 (define @t782 () (@list @t774)) % 8.51/8.80 (define @t783 () (forall @t782 @t779)) % 8.51/8.80 (define @t784 () (forall @t782 @t778)) % 8.51/8.80 (define @t785 () (or @t777 @t784)) % 8.51/8.80 (define @t786 () (forall @t40 (or (not @t39) @t37))) % 8.51/8.80 (define @t787 () (forall @t780 (or (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t38) @t595)) (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t774) @t595)) (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t774) @t595)))) % 8.51/8.80 (define @t788 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t595)) % 8.51/8.80 (define @t789 () (= @t788 @t787)) % 8.51/8.80 (define @t790 () (tptp.c_member @t73 @t634 @t595)) % 8.51/8.80 (define @t791 () (not @t790)) % 8.51/8.80 (define @t792 () (or @t791 @t726 @t602)) % 8.51/8.80 (define @t793 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t582)) % 8.51/8.80 (define @t794 () (not @t793)) % 8.51/8.80 (define @t795 () (or @t794 @t722 @t656 @t790 @t770)) % 8.51/8.80 (define @t796 () (not @t769)) % 8.51/8.80 (define @t797 () (not @t764)) % 8.51/8.80 (define @t798 () (or @t797 @t796 @t627)) % 8.51/8.80 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 8.51/8.80 (assume @p2 (forall @t11 (tptp.c_member @t7 @t10 @t9))) % 8.51/8.80 (assume @p3 (forall @t17 (= @t16 (forall @t6 (not @t15))))) % 8.51/8.80 (assume @p4 @t35) % 8.51/8.80 (assume @p5 @t49) % 8.51/8.80 (assume @p6 @t61) % 8.51/8.80 (assume @p7 (forall @t11 (tptp.hBOOL (tptp.hAPP @t9 @t10)))) % 8.51/8.80 (assume @p8 (forall (@list @t50 @t7 @t62 @t25) (=> @t69 (=> @t68 (not @t66))))) % 8.51/8.80 (assume @p9 (forall @t82 (= (tptp.c_member @t73 @t72 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t70 @t75)) (and @t81 (=> @t76 @t79) (=> @t77 @t74))))) % 8.51/8.80 (assume @p10 (forall @t82 (= (tptp.c_member @t73 @t72 (tptp.c_Arrow__Order__Mirabelle_Omktop @t70 @t75)) (and @t77 (=> @t80 @t79) (=> @t81 @t74))))) % 8.51/8.80 (assume @p11 (forall @t34 (= (tptp.c_Order__Relation_Ostrict__linear__order__on @t7 @t25 @t12) (and @t47 @t16 @t32)))) % 8.51/8.80 (assume @p12 (forall @t87 (=> @t86 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t85) @t10) @t83)))) % 8.51/8.80 (assume @p13 (forall @t91 (=> @t90 (=> @t89 @t88)))) % 8.51/8.80 (assume @p14 (forall (@list @t25 @t7 @t71 @t10) (=> @t78 (= @t93 @t92)))) % 8.51/8.80 (assume @p15 (forall (@list @t10 @t7 @t62 @t25) (=> @t69 (= @t93 @t94)))) % 8.51/8.80 (assume @p16 (forall @t95 (= (tptp.c_member @t7 @t10 (tptp.c_fequal @t71)) @t78))) % 8.51/8.80 (assume @p17 (forall @t98 (= @t93 @t97))) % 8.51/8.80 (assume @p18 @t102) % 8.51/8.80 (assume @p19 (forall (@list @t7 @t99 @t71 @t105 @t84 @t10 @t103) (=> @t108 (=> (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t84 @t84 @t105 @t71) (tptp.hAPP @t99 @t10)) (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 (tptp.c_Product__Type_OPair @t7 @t84 @t10 @t105) @t100) @t104))))) % 8.51/8.80 (assume @p20 @t113) % 8.51/8.80 (assume @p21 (forall @t91 (=> @t90 (=> @t88 (tptp.c_member @t14 @t58 @t114))))) % 8.51/8.80 (assume @p22 (forall @t116 (= (tptp.c_member @t14 @t115 @t114) (and @t78 @t93)))) % 8.51/8.80 (assume @p23 (forall @t112 (=> @t111 @t118))) % 8.51/8.80 (assume @p24 (forall @t17 (= (tptp.c_Nitpick_Orefl_H @t7 @t12) (forall @t6 @t15)))) % 8.51/8.80 (assume @p25 (forall @t17 (=> @t46 @t47))) % 8.51/8.80 (assume @p26 (forall (@list @t54 @t51 @t70) (=> @t120 (=> (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t51 @t54) @t70) (not (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t54 @t51) @t70)))))) % 8.51/8.80 (assume @p27 (forall (@list @t71 @t10 @t70) (=> @t120 (=> @t79 (= (not @t74) (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t71 @t10) @t70)))))) % 8.51/8.80 (assume @p28 (forall (@list @t2 @t12 @t84 @t71 @t10 @t7) (= (tptp.c_member @t14 @t115 (tptp.c_Relation_Oinv__image @t84 @t7 @t12 @t2)) (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t84 @t84 @t121 (tptp.hAPP @t2 @t71)) @t12)))) % 8.51/8.80 (assume @p29 (forall @t122 (= (tptp.c_Relation_ORange @t7 @t7 @t114) @t25))) % 8.51/8.80 (assume @p30 (forall @t122 (= (tptp.c_Relation_ODomain @t7 @t7 @t114) @t25))) % 8.51/8.80 (assume @p31 (forall @t122 (tptp.c_Relation_Otrans @t7 @t114))) % 8.51/8.80 (assume @p32 (forall @t124 (=> @t47 (tptp.c_Relation_Otrans @t84 @t123)))) % 8.51/8.80 (assume @p33 (forall @t125 (=> @t120 (tptp.c_member @t119 (tptp.c_Arrow__Order__Mirabelle_Omktop @t70 @t10) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 8.51/8.80 (assume @p34 (forall @t125 (=> @t120 (tptp.c_member @t119 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t70 @t10) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 8.51/8.80 (assume @p35 (forall @t128 (= @t118 (exists @t127 @t126)))) % 8.51/8.80 (assume @p36 (forall @t128 (= (tptp.c_member @t7 @t51 @t130) (exists @t127 (tptp.c_member @t129 (tptp.c_Product__Type_OPair @t84 @t7 @t38 @t51) @t12))))) % 8.51/8.80 (assume @p37 (forall @t135 (=> @t134 (=> @t120 (= (tptp.c_member @t73 @t72 (tptp.c_Arrow__Order__Mirabelle_Oabove @t70 @t51 @t54)) (and @t79 (=> @t133 (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t51 @t71) @t70)) (=> (not @t133) (and (=> @t131 (or @t132 (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t51) @t70))) (=> (not @t131) @t74))))))))) % 8.51/8.80 (assume @p38 (forall @t135 (=> @t134 (=> @t120 (= (tptp.c_member @t73 @t72 (tptp.c_Arrow__Order__Mirabelle_Obelow @t70 @t51 @t54)) (and @t79 (=> @t136 (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t54) @t70)) (=> (not @t136) (and (=> @t132 (or @t131 (tptp.c_member @t73 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t54 @t71) @t70))) (=> (not @t132) @t74))))))))) % 8.51/8.80 (assume @p39 (forall @t137 (=> @t79 (=> @t120 (tptp.c_member @t119 (tptp.c_Arrow__Order__Mirabelle_Oabove @t70 @t10 @t71) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 8.51/8.80 (assume @p40 (forall @t137 (=> @t79 (=> @t120 (tptp.c_member @t119 (tptp.c_Arrow__Order__Mirabelle_Obelow @t70 @t10 @t71) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 8.51/8.80 (assume @p41 (forall (@list @t138 @t12 @t139 @t140 @t54 @t51 @t84 @t7) (= (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t110 @t142) (tptp.c_Wellfounded_Olex__prod @t7 @t84 @t12 @t138)) (or (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t140) @t12) (and @t141 (tptp.c_member @t107 (tptp.c_Product__Type_OPair @t84 @t84 @t54 @t139) @t138)))))) % 8.51/8.80 (assume @p42 (forall (@list @t25 @t50 @t7) (=> (tptp.c_member @t14 @t50 @t114) (not (forall @t6 (=> @t29 (not (= @t50 @t13)))))))) % 8.51/8.80 (assume @p43 (forall (@list @t12 @t84 @t54 @t7) (=> (tptp.c_member @t7 @t54 @t130) (not (forall @t6 (not @t143)))))) % 8.51/8.80 (assume @p44 (forall @t128 (=> @t118 (not (forall @t127 (not @t126)))))) % 8.51/8.80 (assume @p45 (forall @t147 (=> @t146 (=> @t88 @t145)))) % 8.51/8.80 (assume @p46 (forall @t149 (=> @t146 (=> @t148 @t93)))) % 8.51/8.80 (assume @p47 (forall (@list @t150 @t84 @t151 @t7) (=> (tptp.c_Relation_Otrans @t7 @t151) (=> (tptp.c_Relation_Otrans @t84 @t150) (tptp.c_Relation_Otrans @t101 (tptp.c_Wellfounded_Olex__prod @t7 @t84 @t151 @t150)))))) % 8.51/8.80 (assume @p48 (forall @t122 (tptp.c_Relation_Orefl__on @t7 @t25 @t114))) % 8.51/8.80 (assume @p49 (forall @t149 (=> @t146 (=> @t148 @t92)))) % 8.51/8.80 (assume @p50 (forall @t34 (= @t152 (and @t146 @t47)))) % 8.51/8.80 (assume @p51 (forall (@list @t51 @t12 @t54 @t7) (=> @t155 (=> @t59 @t154)))) % 8.51/8.80 (assume @p52 (forall @t157 (= @t154 (forall @t6 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t51) @t12) @t156))))) % 8.51/8.80 (assume @p53 (forall @t166 (= (tptp.c_Recdef_Owfrec__rel @t7 @t84 @t99 @t159 @t160 @t164) (exists @t165 (and (= @t164 @t162) @t161))))) % 8.51/8.80 (assume @p54 (forall (@list @t75 @t71 @t10 @t12 @t84 @t7) (=> @t167 (=> (tptp.c_member @t101 @t100 @t12) (=> (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t7 @t84 @t10 @t75) @t12) @t80))))) % 8.51/8.80 (assume @p55 (forall @t169 (= @t167 @t168))) % 8.51/8.80 (assume @p56 (forall (@list @t2 @t84 @t12 @t51 @t10 @t7) (=> @t172 (= (tptp.hAPP @t170 @t10) @t121)))) % 8.51/8.80 (assume @p57 (forall (@list @t1 @t10 @t12 @t2 @t84 @t7) (= (= (tptp.c_Recdef_Ocut @t7 @t84 @t2 @t12 @t10) (tptp.c_Recdef_Ocut @t7 @t84 @t1 @t12 @t10)) (forall @t127 (=> @t173 (= (tptp.hAPP @t2 @t38) (tptp.hAPP @t1 @t38))))))) % 8.51/8.80 (assume @p58 (forall (@list @t84 @t51 @t10 @t7 @t174 @t175) (=> (tptp.c_member @t14 @t171 @t175) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t7 @t84 @t174 @t175 @t51) @t10) (tptp.hAPP @t174 @t10))))) % 8.51/8.80 (assume @p59 (forall @t122 (tptp.c_Relation_Osingle__valued @t7 @t7 @t114))) % 8.51/8.80 (assume @p60 (forall (@list @t12 @t10 @t7) (=> (forall @t127 (=> @t173 (tptp.c_member @t7 @t38 @t153))) @t176))) % 8.51/8.80 (assume @p61 (forall (@list @t99 @t10 @t7) (=> (not (tptp.c_member @t7 @t10 @t177)) (not (forall @t40 (=> @t178 (tptp.c_member @t7 @t36 @t177))))))) % 8.51/8.80 (assume @p62 (forall @t166 (= (tptp.c_Recdef_Owfrec__rel @t7 @t84 @t99 @t159 @t160 @t163) (exists @t165 (and (= @t163 @t162) @t161))))) % 8.51/8.80 (assume @p63 (forall (@list @t1 @t159 @t84 @t99 @t10 @t7) (=> (forall @t40 (=> @t178 (tptp.c_Recdef_Owfrec__rel @t7 @t84 @t99 @t159 @t36 (tptp.hAPP @t1 @t36)))) (tptp.c_Recdef_Owfrec__rel @t7 @t84 @t99 @t159 @t10 (tptp.hAPP (tptp.hAPP @t159 @t1) @t10))))) % 8.51/8.80 (assume @p64 (forall @t169 (=> @t168 @t167))) % 8.51/8.80 (assume @p65 (forall (@list @t54 @t12 @t51 @t7) (=> @t154 (=> @t181 @t155)))) % 8.51/8.80 (assume @p66 (forall (@list @t12 @t51 @t54 @t7) (=> @t181 (=> @t154 @t155)))) % 8.51/8.80 (assume @p67 (forall (@list @t10 @t159 @t99 @t7 @t84) (= (tptp.c_Nitpick_Owf__wfrec_H @t84 @t7 @t99 @t159 @t10) (tptp.hAPP (tptp.hAPP @t159 (tptp.c_Recdef_Ocut @t84 @t7 (tptp.c_Nitpick_Owf__wfrec @t84 @t7 @t99 @t159) @t99 @t10)) @t10)))) % 8.51/8.80 (assume @p68 (forall @t183 (tptp.c_member @t14 @t144 @t182))) % 8.51/8.80 (assume @p69 (forall @t184 (tptp.c_Relation_Otrans @t7 @t182))) % 8.51/8.80 (assume @p70 (forall @t184 (tptp.c_Relation_Osingle__valued @t7 @t7 @t182))) % 8.51/8.80 (assume @p71 @t187) % 8.51/8.80 (assume @p72 (forall @t184 (= (tptp.c_Relation_ODomain @t7 @t7 @t182) @t9))) % 8.51/8.80 (assume @p73 (forall @t184 (= (tptp.c_Relation_ORange @t7 @t7 @t182) @t9))) % 8.51/8.80 (assume @p74 (forall @t184 (tptp.c_Relation_Orefl__on @t7 @t9 @t182))) % 8.51/8.80 (assume @p75 (forall @t157 (tptp.c_member @t14 @t144 @t179))) % 8.51/8.80 (assume @p76 (forall @t190 (=> @t189 (tptp.c_member @t14 @t188 @t179)))) % 8.51/8.80 (assume @p77 (forall (@list @t71 @t99 @t10 @t7) (=> (not (tptp.c_member @t7 @t10 (tptp.c_Relation_ODomain @t7 @t7 @t99))) (= @t192 @t78)))) % 8.51/8.80 (assume @p78 (forall (@list @t75 @t71 @t10 @t12 @t7) (=> (tptp.c_Relation_Osingle__valued @t7 @t7 @t12) (=> @t196 (=> @t195 (or (tptp.c_member @t14 @t193 @t179) (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t75 @t71) @t179))))))) % 8.51/8.80 (assume @p79 (forall @t17 (tptp.c_Relation_Orefl__on @t7 @t9 @t179))) % 8.51/8.80 (assume @p80 @t199) % 8.51/8.80 (assume @p81 (forall @t198 (= (tptp.c_Relation_ODomain @t7 @t7 @t191) @t9))) % 8.51/8.80 (assume @p82 (forall @t204 (=> @t203 @t202))) % 8.51/8.80 (assume @p83 (forall @t204 (=> @t203 (=> @t56 @t200)))) % 8.51/8.80 (assume @p84 (forall @t17 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t179) @t179))) % 8.51/8.80 (assume @p85 (forall @t17 (tptp.c_Relation_Otrans @t7 @t179))) % 8.51/8.80 (assume @p86 (forall @t204 (=> @t59 @t202))) % 8.51/8.80 (assume @p87 (forall (@list @t188 @t7) (=> (tptp.c_member @t14 @t188 @t182) (not (forall @t6 (not (= @t188 @t13))))))) % 8.51/8.80 (assume @p88 (forall @t225 (=> @t224 (=> @t222 (=> (forall @t221 (=> (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t220 @t215) @t217) (forall (@list @t209 @t208) (=> @t216 (=> @t213 @t210))))) @t207))))) % 8.51/8.80 (assume @p89 (forall @t225 (=> @t224 (=> @t207 (=> (forall (@list @t212 @t211 @t209 @t208) (=> @t216 (=> (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t214 @t223) @t217) (=> @t210 @t213)))) @t222))))) % 8.51/8.80 (assume @p90 (forall (@list @t12 @t226 @t227 @t229 @t230 @t84 @t7) (=> (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t231 @t228) @t217) (=> (not (= @t231 @t228)) (not (forall @t221 (=> (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t231 @t215) @t12) (not (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t101 @t101 @t215 @t228) @t217))))))))) % 8.51/8.80 (assume @p91 (forall @t237 (=> @t203 (=> @t236 (=> (forall @t127 (=> @t235 (forall @t40 (=> @t39 (=> @t234 @t233))))) @t232))))) % 8.51/8.80 (assume @p92 (forall @t237 (=> @t203 (=> @t232 (=> (forall (@list @t38 @t36) (=> @t39 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t54) @t179) (=> @t233 @t234)))) @t236))))) % 8.51/8.80 (assume @p93 (forall @t240 (=> @t195 (=> @t77 (not (forall @t127 (=> @t239 (not (tptp.c_member @t14 @t238 @t179))))))))) % 8.51/8.80 (assume @p94 (forall @t241 (=> @t203 (=> @t134 (not (forall @t127 (=> @t235 (not (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t54) @t12))))))))) % 8.51/8.80 (assume @p95 (forall @t241 (=> @t243 @t203))) % 8.51/8.80 (assume @p96 (forall @t17 (tptp.c_Relation_Orefl__on @t7 @t9 @t245))) % 8.51/8.80 (assume @p97 (exists (@list @t246) (tptp.c_member @t119 @t246 tptp.c_Arrow__Order__Mirabelle_OLin))) % 8.51/8.80 (assume @p98 (forall (@list @t247 @t249 @t248 @t250 @t84 @t7) (=> (= (tptp.c_Product__Type_OPair @t7 @t84 @t250 @t248) (tptp.c_Product__Type_OPair @t7 @t84 @t249 @t247)) (not (=> (= @t250 @t249) (not (= @t248 @t247))))))) % 8.51/8.80 (assume @p99 (forall (@list @t139 @t140 @t54 @t51 @t84 @t7) (= (= @t110 @t142) (and @t141 (= @t54 @t139))))) % 8.51/8.80 (assume @p100 (forall (@list @t84 @t7 @t103) (= (forall (@list @t251) (tptp.hBOOL (tptp.hAPP @t103 @t251))) (forall @t221 (tptp.hBOOL (tptp.hAPP @t103 @t215)))))) % 8.51/8.80 (assume @p101 (forall @t254 (=> @t253 (=> @t59 (=> @t252 @t90))))) % 8.51/8.80 (assume @p102 (forall @t17 (= @t253 @t257))) % 8.51/8.80 (assume @p103 (forall @t262 (=> @t261 (=> (not @t97) @t259)))) % 8.51/8.80 (assume @p104 (forall (@list @t7 @t25 @t10 @t62) (=> (=> @t263 @t97) @t261))) % 8.51/8.80 (assume @p105 @t266) % 8.51/8.80 (assume @p106 (forall @t267 (=> (=> @t67 @t64) @t264))) % 8.51/8.80 (assume @p107 (forall @t241 (=> @t59 @t243))) % 8.51/8.80 (assume @p108 (forall @t17 (= (tptp.c_Relation_Oantisym @t7 @t245) @t253))) % 8.51/8.80 (assume @p109 (forall @t122 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t25) @t25))) % 8.51/8.80 (assume @p110 (forall @t269 (= @t260 @t268))) % 8.51/8.80 (assume @p111 (forall @t269 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t260) @t260))) % 8.51/8.80 (assume @p112 (forall @t274 (= @t273 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t62 @t271)))) % 8.51/8.80 (assume @p113 (forall @t274 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t260 @t270) @t273))) % 8.51/8.80 (assume @p114 (forall @t278 (= (exists @t6 (and @t277 @t275)) (or (exists @t6 (and @t29 @t275)) (exists @t6 (and @t276 @t275)))))) % 8.51/8.80 (assume @p115 (forall @t278 (= (forall @t6 (=> @t277 @t275)) (and (forall @t6 (=> @t29 @t275)) (forall @t6 (=> @t276 @t275)))))) % 0.46/8.80 (assume @p116 (forall (@list @t62 @t7 @t10 @t25) (=> @t97 @t261))) % 0.46/8.80 (assume @p117 (forall (@list @t25 @t7 @t10 @t62) (=> @t259 @t261))) % 0.46/8.80 (assume @p118 (forall @t281 (=> @t146 (=> @t280 (tptp.c_Relation_Orefl__on @t7 @t260 @t279))))) % 0.46/8.80 (assume @p119 (forall (@list @t62 @t25 @t7 @t84) (= (tptp.c_Relation_ORange @t84 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t284 @t25 @t62)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t283 @t282)))) % 0.46/8.80 (assume @p120 (forall @t288 (= (tptp.c_Relation_ODomain @t7 @t84 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t287 @t25 @t62)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t286 @t285)))) % 0.46/8.80 (assume @p121 @t290) % 0.46/8.80 (assume @p122 (forall @t17 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t245) @t179))) % 0.46/8.80 (assume @p123 (forall @t265 (= @t264 @t291))) % 0.46/8.80 (assume @p124 (forall @t265 (=> @t64 @t264))) % 0.46/8.80 (assume @p125 (forall @t267 (=> @t63 @t264))) % 0.46/8.80 (assume @p126 (forall @t190 (=> @t189 @t292))) % 0.46/8.80 (assume @p127 (forall @t293 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t9 @t62) @t9))) % 0.46/8.80 (assume @p128 (forall @t122 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t9) @t9))) % 0.46/8.80 (assume @p129 (forall @t198 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t191) @t191))) % 0.46/8.80 (assume @p130 (forall @t198 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t294) @t191))) % 0.46/8.80 (assume @p131 (forall @t299 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t298) @t296))) % 0.46/8.80 (assume @p132 (forall @t17 (= (tptp.c_Relation_ODomain @t7 @t7 @t242) @t300))) % 0.46/8.80 (assume @p133 (forall @t17 (tptp.c_Relation_Otrans @t7 @t242))) % 0.46/8.80 (assume @p134 @t302) % 0.46/8.80 (assume @p135 (forall @t17 (= (tptp.c_Relation_ORange @t7 @t7 @t242) @t303))) % 0.46/8.80 (assume @p136 (forall (@list @t50 @t99 @t54 @t51 @t7) (=> (tptp.c_member @t14 @t58 @t99) (=> (tptp.c_member @t14 @t55 @t99) (tptp.c_member @t14 @t52 @t294))))) % 0.46/8.80 (assume @p137 (forall @t204 (=> @t59 @t305))) % 0.46/8.80 (assume @p138 @t307) % 0.46/8.80 (assume @p139 (forall @t204 (=> @t243 @t305))) % 0.46/8.80 (assume @p140 (forall @t184 (tptp.c_Relation_Oantisym @t7 @t182))) % 0.46/8.80 (assume @p141 (forall (@list @t295 @t99 @t10 @t7) (=> (or (tptp.c_member @t14 @t10 @t191) (tptp.c_member @t14 @t10 @t297)) (tptp.c_member @t14 @t10 @t296)))) % 0.46/8.80 (assume @p142 (forall @t122 (tptp.c_Relation_Oantisym @t7 @t114))) % 0.46/8.80 (assume @p143 (forall @t198 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t191 @t182) @t191))) % 0.46/8.80 (assume @p144 (forall @t198 (= (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t244 @t99 @t182)) @t191))) % 0.46/8.80 (assume @p145 (forall @t17 (=> @t47 (tptp.c_Relation_Otrans @t7 @t245)))) % 0.46/8.80 (assume @p146 (forall @t309 (= @t192 (or @t78 (and @t79 @t308))))) % 0.46/8.80 (assume @p147 (forall @t204 (=> @t59 @t310))) % 0.46/8.80 (assume @p148 (forall (@list @t99 @t54 @t51 @t7) (=> (tptp.c_member @t14 @t58 @t191) (or @t90 (and @t134 (tptp.c_member @t14 @t58 @t294)))))) % 0.46/8.80 (assume @p149 (forall @t204 (=> @t203 @t306))) % 0.46/8.80 (assume @p150 (forall @t204 (=> @t243 @t310))) % 0.46/8.80 (assume @p151 (forall (@list @t75 @t12 @t71 @t10 @t7) (=> @t196 (=> (tptp.c_member @t14 @t193 @t242) @t311)))) % 0.46/8.80 (assume @p152 (forall (@list @t54 @t51 @t312 @t7 @t313 @t84) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t84 @t313 @t7 @t312 @t314) (tptp.hAPP (tptp.hAPP @t312 @t51) @t54)))) % 0.46/8.80 (assume @p153 (forall @t317 (=> @t316 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t85 @t2 @t1) @t10) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t121 @t315))))) % 0.46/8.80 (assume @p154 (forall @t320 (=> @t319 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t83) @t83)))) % 0.46/8.80 (assume @p155 (forall @t320 (=> @t319 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t83 @t318) @t83)))) % 0.46/8.80 (assume @p156 (forall @t34 (= @t321 (and @t152 @t253)))) % 0.46/8.80 (assume @p157 (forall @t326 (=> @t325 (=> (forall @t6 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t54) @t322) (forall @t127 (=> (tptp.c_member @t14 @t256 @t324) (= @t38 @t3))))) @t323)))) % 0.46/8.80 (assume @p158 (forall @t326 (=> @t325 (=> (forall @t6 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t3) @t322) (forall @t127 (=> (tptp.c_member @t14 @t42 @t324) @t255)))) @t323)))) % 0.46/8.80 (assume @p159 (forall @t328 (=> @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t250 @t250) @t250)))) % 0.46/8.80 (assume @p160 (forall @t320 (=> @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t318) @t318)))) % 0.46/8.80 (assume @p161 (forall @t330 (=> @t327 (= @t329 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t248 @t250))))) % 0.46/8.80 (assume @p162 (forall @t335 (=> @t316 @t334))) % 0.46/8.80 (assume @p163 (forall @t335 (=> @t327 @t334))) % 0.46/8.80 (assume @p164 (forall @t330 (=> @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t250 @t329) @t329)))) % 0.46/8.80 (assume @p165 (forall @t335 (=> @t316 @t336))) % 0.46/8.80 (assume @p166 (forall @t335 (=> @t327 @t336))) % 0.46/8.80 (assume @p167 (forall @t339 (=> @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t248 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t250 @t337)) @t338)))) % 0.46/8.80 (assume @p168 (forall @t345 (=> @t316 @t344))) % 0.46/8.80 (assume @p169 (forall @t345 (=> @t327 @t344))) % 0.46/8.80 (assume @p170 (forall @t346 (=> @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t329 @t337) @t338)))) % 0.46/8.80 (assume @p171 (forall @t345 (=> @t316 @t347))) % 0.46/8.80 (assume @p172 (forall @t345 (=> @t327 @t347))) % 0.46/8.80 (assume @p173 (forall @t34 (= @t348 (and @t321 @t32)))) % 0.46/8.80 (assume @p174 (forall @t309 (=> @t308 (exists @t40 (and (tptp.c_member @t14 @t350 @t99) (tptp.c_member @t14 @t349 @t191)))))) % 0.46/8.80 (assume @p175 @t356) % 0.46/8.80 (assume @p176 (forall @t17 (= @t358 @t357))) % 0.46/8.80 (assume @p177 (forall (@list @t54 @t51 @t50 @t7 @t313 @t84) (= (tptp.c_Product__Type_Ointernal__split @t84 @t313 @t7 @t50 @t314) (tptp.hAPP (tptp.hAPP @t50 @t51) @t54)))) % 0.46/8.80 (assume @p178 (forall @t17 (=> @t257 @t253))) % 0.46/8.80 (assume @p179 (forall @t17 (=> @t358 (tptp.c_Relation_Oantisym @t7 @t179)))) % 0.46/8.80 (assume @p180 (forall @t17 (=> @t357 @t358))) % 0.46/8.80 (assume @p181 (forall @t34 (=> @t348 (tptp.c_Order__Relation_Ostrict__linear__order__on @t7 @t25 @t359)))) % 0.46/8.80 (assume @p182 (forall @t362 (= (tptp.c_Wellfounded_Oacyclic @t7 @t361) (and @t358 @t360)))) % 0.46/8.80 (assume @p183 (forall @t17 (= @t363 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t300 @t303)))) % 0.46/8.80 (assume @p184 (forall (@list @t71 @t10 @t12 @t7) (=> @t357 (=> @t148 @t79)))) % 0.46/8.80 (assume @p185 @t371) % 0.46/8.80 (assume @p186 (forall @t373 (=> @t372 (=> @t134 @t88)))) % 0.46/8.80 (assume @p187 (forall @t265 (=> @t376 (not @t374)))) % 0.46/8.80 (assume @p188 (forall @t265 (=> @t64 (=> @t67 @t376)))) % 0.46/8.80 (assume @p189 (forall @t112 (= (tptp.c_Relation_ODomain @t7 @t84 (tptp.c_Set_Oinsert @t101 @t110 @t12)) (tptp.c_Set_Oinsert @t7 @t51 @t117)))) % 0.46/8.80 (assume @p190 (forall (@list @t12 @t54 @t51 @t7 @t84) (= (tptp.c_Relation_ORange @t84 @t7 (tptp.c_Set_Oinsert @t129 @t377 @t12)) (tptp.c_Set_Oinsert @t7 @t54 @t130)))) % 0.46/8.80 (assume @p191 (forall @t265 (= @t376 (and @t64 @t67)))) % 0.46/8.80 (assume @p192 (forall @t265 (=> @t376 @t64))) % 0.46/8.80 (assume @p193 (forall @t265 (=> @t376 @t67))) % 0.46/8.80 (assume @p194 (forall (@list @t62 @t51 @t7) (tptp.c_member @t7 @t51 @t378))) % 0.46/8.80 (assume @p195 (forall @t373 (= @t372 (or @t90 @t88)))) % 0.46/8.80 (assume @p196 (forall @t383 (=> @t382 (=> @t381 (= (= @t380 @t379) @t69))))) % 0.46/8.80 (assume @p197 (forall @t370 (=> @t366 @t365))) % 0.46/8.80 (assume @p198 (forall @t385 (=> @t88 (= @t384 @t25)))) % 0.46/8.80 (assume @p199 (forall @t388 @t387)) % 0.46/8.80 (assume @p200 (forall @t388 (and @t387 (=> @t381 (= @t386 (tptp.c_Set_Oinsert @t7 @t10 @t375)))))) % 0.46/8.80 (assume @p201 (forall (@list @t10 @t25 @t71 @t7) (= (tptp.hBOOL (tptp.hAPP @t389 @t10)) (or (= @t71 @t10) @t97)))) % 0.46/8.80 (assume @p202 (forall @t269 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t375 @t62) @t375))) % 0.46/8.80 (assume @p203 (forall @t116 (= (tptp.c_Set_Oinsert @t7 @t10 @t389) (tptp.c_Set_Oinsert @t7 @t71 @t380)))) % 0.46/8.80 (assume @p204 (forall @t98 (= (tptp.c_Set_Oinsert @t7 @t10 @t380) @t380))) % 0.46/8.80 (assume @p205 (forall (@list @t10 @t62 @t25 @t84 @t7) (=> (tptp.class_Groups_Ominus @t7) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t85 @t25 @t62) @t10) (tptp.c_Groups_Ominus__class_Ominus @t7 @t96 @t258))))) % 0.46/8.80 (assume @p206 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t260 @t270) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t391 @t390)))) % 0.46/8.80 (assume @p207 (forall @t393 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t392 @t25) @t268))) % 0.46/8.80 (assume @p208 (forall @t269 (= @t394 @t260))) % 0.46/8.80 (assume @p209 (forall (@list @t270 @t62 @t51 @t7) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t378 @t270) (tptp.c_Set_Oinsert @t7 @t51 @t272)))) % 0.46/8.80 (assume @p210 (forall @t395 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t378) (tptp.c_Set_Oinsert @t7 @t51 @t260)))) % 0.46/8.80 (assume @p211 (forall @t17 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t359) @t179))) % 0.46/8.80 (assume @p212 (forall @t34 (= (tptp.c_Relation_Ototal__on @t7 @t25 @t359) @t32))) % 0.46/8.80 (assume @p213 (forall @t397 (= (tptp.c_Relation_OField @t7 @t279) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t363 @t396)))) % 0.46/8.80 (assume @p214 (forall @t17 (tptp.c_Relation_Oirrefl @t7 @t359))) % 0.46/8.80 (assume @p215 (forall @t17 (=> @t47 (=> @t253 (tptp.c_Relation_Otrans @t7 @t359))))) % 0.46/8.80 (assume @p216 (forall @t241 (= (tptp.c_Relation_OField @t7 (tptp.c_Set_Oinsert @t14 @t58 @t12)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t400 @t363)))) % 0.46/8.80 (assume @p217 (forall @t362 (= (tptp.c_Wellfounded_Owf @t7 @t361) (and @t401 @t360)))) % 0.46/8.80 (assume @p218 (forall @t241 (=> @t243 (=> @t403 (not (forall (@list @t402) (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t402) @t242) (not (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t402 @t54) @t12))))))))) % 0.46/8.80 (assume @p219 (forall @t240 (=> @t311 (=> (not (tptp.c_member @t14 @t194 @t12)) (not (forall @t127 (=> @t239 (not (tptp.c_member @t14 @t238 @t242))))))))) % 0.46/8.80 (assume @p220 (forall @t288 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t283 @t282) (tptp.c_Relation_ORange @t84 @t7 (tptp.c_Groups_Ominus__class_Ominus @t284 @t25 @t62))))) % 0.46/8.80 (assume @p221 (forall @t320 (=> @t404 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t318)))) % 0.46/8.80 (assume @p222 (forall @t269 (=> @t406 (=> @t405 @t69)))) % 0.46/8.80 (assume @p223 (forall @t184 (tptp.c_Wellfounded_Owf @t7 @t407))) % 0.46/8.80 (assume @p224 (forall @t183 (not (tptp.c_member @t7 @t51 @t398)))) % 0.46/8.80 (assume @p225 (forall (@list @t50 @t62 @t25 @t7) (=> @t406 @t374))) % 0.46/8.80 (assume @p226 (forall @t122 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t398 @t25))) % 0.46/8.80 (assume @p227 (forall @t124 (=> @t401 (tptp.c_Wellfounded_Owf @t84 @t123)))) % 0.46/8.80 (assume @p228 (forall (@list @t408 @t84 @t409 @t7) (=> (tptp.c_Wellfounded_Owf @t7 @t409) (=> (tptp.c_Wellfounded_Owf @t84 @t408) (tptp.c_Wellfounded_Owf @t101 (tptp.c_Wellfounded_Olex__prod @t7 @t84 @t409 @t408)))))) % 0.46/8.80 (assume @p229 (forall (@list @t10 @t25 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t410) (or @t411 (= @t25 @t410))))) % 0.46/8.80 (assume @p230 (forall @t397 (=> @t412 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t363 @t396)))) % 0.46/8.80 (assume @p231 (forall @t184 (= (tptp.c_Relation_OField @t7 @t407) @t398))) % 0.46/8.80 (assume @p232 (forall @t262 (=> @t406 (=> @t93 @t94)))) % 0.46/8.80 (assume @p233 (forall @t383 (=> @t93 (=> @t406 @t94)))) % 0.46/8.80 (assume @p234 (forall @t184 (tptp.c_Order__Relation_Opartial__order__on @t7 @t398 @t407))) % 0.46/8.80 (assume @p235 (forall @t184 (tptp.c_Order__Relation_Opreorder__on @t7 @t398 @t407))) % 0.46/8.80 (assume @p236 (forall (@list @t150 @t151 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t151 @t150) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Wellfounded_Oacc @t7 @t150) (tptp.c_Wellfounded_Oacc @t7 @t151))))) % 0.46/8.80 (assume @p237 (forall @t169 (= (= @t117 @t398) (= @t12 @t413)))) % 0.46/8.80 (assume @p238 (forall (@list @t84 @t7) (= (tptp.c_Relation_ODomain @t7 @t84 @t413) @t398))) % 0.46/8.80 (assume @p239 (forall (@list @t12 @t7 @t84) (= (= @t130 @t398) (= @t12 @t414)))) % 0.46/8.80 (assume @p240 (forall (@list @t7 @t84) (= (tptp.c_Relation_ORange @t84 @t7 @t414) @t398))) % 0.46/8.80 (assume @p241 (forall @t184 (tptp.c_Relation_Orefl__on @t7 @t398 @t407))) % 0.46/8.80 (assume @p242 (forall (@list @t188 @t12 @t7) (=> @t401 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t188 @t12) (tptp.c_Wellfounded_Owf @t7 @t188))))) % 0.46/8.80 (assume @p243 (forall @t320 (=> @t416 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t415 @t318)))) % 0.46/8.80 (assume @p244 (forall @t122 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t25))) % 0.46/8.80 (assume @p245 (forall @t87 (=> @t416 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t85) @t10) @t415)))) % 0.46/8.80 (assume @p246 (forall @t122 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t398) @t411))) % 0.46/8.80 (assume @p247 (forall (@list @t1 @t2 @t7 @t84) (=> @t418 (= @t417 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t84 @t5 @t4)))))) % 0.46/8.80 (assume @p248 (forall @t335 (=> @t421 (or @t420 @t419)))) % 0.46/8.80 (assume @p249 (forall @t422 (= @t69 (and @t406 @t405)))) % 0.46/8.80 (assume @p250 (forall @t95 (=> @t425 (= @t78 (and @t424 @t423))))) % 0.46/8.80 (assume @p251 (forall (@list @t324 @t7 @t10 @t103) (=> @t108 (=> @t427 @t426)))) % 0.46/8.80 (assume @p252 (forall @t422 (=> @t69 @t406))) % 0.46/8.80 (assume @p253 (forall @t422 (=> @t69 @t405))) % 0.46/8.80 (assume @p254 (forall @t335 (=> @t404 (=> @t428 @t420)))) % 0.46/8.80 (assume @p255 (forall (@list @t10 @t1 @t2 @t7 @t84) (=> @t418 (=> @t417 (tptp.c_Orderings_Oord__class_Oless__eq @t84 @t121 @t315))))) % 0.46/8.80 (assume @p256 (forall (@list @t10 @t71 @t7) (=> @t425 (=> @t423 (= @t424 @t78))))) % 0.46/8.80 (assume @p257 (forall (@list @t10 @t324 @t103 @t7) (=> @t427 (=> @t108 @t426)))) % 0.46/8.80 (assume @p258 (forall @t346 (=> @t431 (=> @t430 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t248 @t337) @t429))))) % 0.46/8.80 (assume @p259 (forall @t346 (=> @t425 (=> @t430 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t337 @t248) @t432))))) % 0.46/8.80 (assume @p260 (forall @t274 (=> @t406 (=> @t434 @t433)))) % 0.46/8.80 (assume @p261 (forall @t346 (=> @t431 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t250 @t248) (=> @t435 @t429))))) % 0.46/8.80 (assume @p262 (forall @t339 (=> @t425 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t248 @t250) (=> @t435 @t432))))) % 0.46/8.80 (assume @p263 (forall @t335 (=> @t425 (=> @t420 (=> @t419 @t428))))) % 0.46/8.80 (assume @p264 (forall @t345 (=> @t404 (=> @t420 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t331 @t340) @t436))))) % 0.46/8.80 (assume @p265 (forall @t437 (=> @t425 (=> @t419 (=> @t420 @t428))))) % 0.46/8.80 (assume @p266 (forall @t439 (=> @t425 (=> @t419 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t340 @t331) @t438))))) % 0.46/8.80 (assume @p267 (forall @t422 (=> @t69 (not (=> @t406 (not @t405)))))) % 0.46/8.80 (assume @p268 (forall @t335 (=> @t421 (=> (not @t420) @t419)))) % 0.46/8.80 (assume @p269 (forall @t441 (=> @t440 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t117 (tptp.c_Relation_ODomain @t7 @t84 @t138))))) % 0.46/8.80 (assume @p270 (forall @t184 (= (tptp.c_Relation_OId__on @t7 @t398) @t407))) % 0.46/8.80 (assume @p271 (forall @t184 (tptp.c_Order__Relation_Olinear__order__on @t7 @t398 @t407))) % 0.46/8.80 (assume @p272 (forall @t335 (=> @t316 @t442))) % 0.46/8.80 (assume @p273 (forall @t335 (=> @t327 @t442))) % 0.46/8.80 (assume @p274 (forall @t437 (=> @t316 @t443))) % 0.46/8.80 (assume @p275 (forall @t437 (=> @t327 @t443))) % 0.46/8.80 (assume @p276 (forall @t95 (=> @t327 (= @t424 (= @t444 @t71))))) % 0.46/8.80 (assume @p277 (forall @t446 (=> @t327 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t444 @t75) (and @t445 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t71 @t75)))))) % 0.46/8.80 (assume @p278 (forall @t449 (=> @t327 (=> @t448 @t447)))) % 0.46/8.80 (assume @p279 (forall (@list @t250 @t248 @t318 @t7) (=> @t327 (=> @t450 @t447)))) % 0.46/8.80 (assume @p280 (forall @t335 (=> @t327 (=> @t420 (= @t333 @t331))))) % 0.46/8.80 (assume @p281 (forall @t437 (=> @t327 (=> @t419 (= @t333 @t318))))) % 0.46/8.80 (assume @p282 (forall @t454 (=> @t327 (=> @t453 (=> @t452 @t451))))) % 0.46/8.80 (assume @p283 (forall @t439 (=> @t327 (=> @t419 (=> @t438 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t342 @t318)))))) % 0.46/8.80 (assume @p284 (forall @t457 (=> @t327 (=> @t429 (=> @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t329 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t337 @t455))))))) % 0.46/8.80 (assume @p285 (forall (@list @t318 @t248 @t250 @t7) (=> @t327 (=> @t451 (not (=> @t453 (not @t452))))))) % 0.46/8.80 (assume @p286 (forall @t122 (= (forall @t6 @t458) @t411))) % 0.46/8.80 (assume @p287 (forall @t122 (= (exists @t6 @t29) (not @t411)))) % 0.46/8.80 (assume @p288 (forall (@list @t50 @t7) (not (tptp.c_member @t7 @t50 @t398)))) % 0.46/8.80 (assume @p289 (forall (@list @t51 @t7 @t25) (=> @t411 @t459))) % 0.46/8.80 (assume @p290 (forall @t320 (=> @t86 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t83)))) % 0.46/8.80 (assume @p291 (forall (@list @t51 @t62 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t62 @t378))) % 0.46/8.80 (assume @p292 (forall (@list @t54 @t62 @t25 @t7) (=> @t406 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t364)))) % 0.46/8.80 (assume @p293 (forall (@list @t51 @t460 @t270 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t460) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Set_Oinsert @t7 @t51 @t270) (tptp.c_Set_Oinsert @t7 @t51 @t460))))) % 0.46/8.80 (assume @p294 (forall @t122 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t9))) % 0.46/8.80 (assume @p295 (forall @t269 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t260))) % 0.46/8.80 (assume @p296 (forall @t393 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t62 @t260))) % 0.46/8.80 (assume @p297 (forall @t269 (= @t406 @t461))) % 0.46/8.80 (assume @p298 (forall @t269 (=> @t406 @t461))) % 0.46/8.80 (assume @p299 (forall @t393 (=> @t405 (= @t260 @t25)))) % 0.46/8.80 (assume @p300 (forall @t462 (=> @t433 (=> @t434 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t260 @t270))))) % 0.46/8.80 (assume @p301 (forall @t464 (=> @t433 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t260 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t270 @t460)))))) % 0.46/8.80 (assume @p302 (forall @t269 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t375 @t25))) % 0.46/8.80 (assume @p303 (forall (@list @t62 @t460 @t270 @t25 @t7) (=> @t433 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t460 @t62) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t375 (tptp.c_Groups_Ominus__class_Ominus @t8 @t270 @t460)))))) % 0.46/8.80 (assume @p304 (forall @t274 (=> @t406 (=> @t434 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t62 (tptp.c_Groups_Ominus__class_Ominus @t8 @t270 @t25)) @t25))))) % 0.46/8.80 (assume @p305 (forall @t385 (not (= @t398 @t384)))) % 0.46/8.80 (assume @p306 (forall @t385 (not (= @t384 @t398)))) % 0.46/8.80 (assume @p307 (forall @t466 (= (= @t400 (tptp.c_Set_Oinsert @t7 @t50 (tptp.c_Set_Oinsert @t7 @t465 @t398))) (or (and (= @t51 @t50) (= @t54 @t465)) (and (= @t51 @t465) (= @t54 @t50)))))) % 0.46/8.80 (assume @p308 (forall @t186 (=> (= @t467 @t399) @t90))) % 0.46/8.80 (assume @p309 (forall @t17 (=> @t401 (tptp.c_Wellfounded_Owf @t7 @t242)))) % 0.46/8.80 (assume @p310 (forall @t184 (not (= @t9 @t398)))) % 0.46/8.80 (assume @p311 (forall @t293 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t398 @t62) @t62))) % 0.46/8.80 (assume @p312 (forall @t122 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t398) @t25))) % 0.46/8.80 (assume @p313 (forall @t269 (= (= @t260 @t398) (and @t411 (= @t62 @t398))))) % 0.46/8.80 (assume @p314 (forall @t397 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t12 @t468) @t469))) % 0.46/8.80 (assume @p315 (forall @t299 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t99 @t295) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t295 @t191) (= @t297 @t191))))) % 0.46/8.80 (assume @p316 (forall @t397 (=> @t412 @t469))) % 0.46/8.80 (assume @p317 (forall @t122 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t398 @t25) @t398))) % 0.46/8.80 (assume @p318 (forall @t122 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t398) @t25))) % 0.46/8.80 (assume @p319 (forall @t122 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t25) @t398))) % 0.46/8.80 (assume @p320 (forall @t184 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t407) @t407))) % 0.46/8.80 (assume @p321 (forall @t17 (=> @t401 @t358))) % 0.46/8.80 (assume @p322 (forall @t397 (=> @t412 (=> (tptp.c_Relation_Oantisym @t7 @t138) @t253)))) % 0.46/8.80 (assume @p323 (forall (@list @t12 @t138 @t7) (=> (tptp.c_Wellfounded_Oacyclic @t7 @t138) (=> @t412 @t358)))) % 0.46/8.80 (assume @p324 (forall @t441 (=> @t440 (=> (tptp.c_Relation_Osingle__valued @t7 @t84 @t138) @t167)))) % 0.46/8.80 (assume @p325 (forall @t184 (tptp.c_Relation_Oantisym @t7 @t407))) % 0.46/8.80 (assume @p326 (forall @t473 (=> @t472 (=> @t93 @t470)))) % 0.46/8.80 (assume @p327 (forall @t473 (= @t470 (and (=> @t93 @t472) (=> @t382 @t406))))) % 0.46/8.80 (assume @p328 (forall @t17 (tptp.c_Relation_Ototal__on @t7 @t398 @t12))) % 0.46/8.80 (assume @p329 (forall @t95 (=> @t474 (= (= @t444 @t415) (and (= @t10 @t415) (= @t71 @t415)))))) % 0.46/8.80 (assume @p330 (forall @t320 (=> @t474 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t415) @t318)))) % 0.46/8.80 (assume @p331 (forall @t320 (=> @t474 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t415 @t318) @t318)))) % 0.46/8.80 (assume @p332 (forall (@list @t51 @t12 @t7) (=> @t401 (not @t145)))) % 0.46/8.80 (assume @p333 (forall (@list @t10 @t51 @t12 @t7) (=> @t401 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t51 @t10) @t12) (not @t172))))) % 0.46/8.80 (assume @p334 (forall @t383 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t380 @t62) (and @t94 @t406)))) % 0.46/8.80 (assume @p335 (forall @t383 (=> @t382 (= @t470 @t406)))) % 0.46/8.80 (assume @p336 (forall @t477 (= @t476 @t475))) % 0.46/8.80 (assume @p337 (forall @t477 (=> @t476 @t475))) % 0.46/8.80 (assume @p338 (forall @t274 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t375 @t270) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t272)))) % 0.46/8.80 (assume @p339 (forall @t269 (=> @t406 (= @t394 @t62)))) % 0.46/8.80 (assume @p340 (forall @t17 (= @t401 (forall @t6 @t156)))) % 0.46/8.80 (assume @p341 (forall (@list @t10 @t12 @t7) (=> @t401 @t176))) % 0.46/8.80 (assume @p342 (forall @t385 (= @t384 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t467 @t25)))) % 0.46/8.80 (assume @p343 (forall (@list @t138 @t12 @t188 @t7) (=> @t292 (=> @t412 (tptp.c_member @t14 @t188 (tptp.c_Transitive__Closure_Otrancl @t7 @t138)))))) % 0.46/8.80 (assume @p344 (forall @t395 (= @t478 (tptp.c_Groups_Ominus__class_Ominus @t8 @t375 @t467)))) % 0.46/8.80 (assume @p345 (forall @t395 (= @t478 (tptp.c_Groups_Ominus__class_Ominus @t8 @t479 @t62)))) % 0.46/8.80 (assume @p346 (forall @t385 (= @t480 @t384))) % 0.46/8.80 (assume @p347 (forall @t122 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t9) @t398))) % 0.46/8.80 (assume @p348 (forall @t299 (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t298 @t296))) % 0.46/8.80 (assume @p349 (forall @t184 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t407) @t182))) % 0.46/8.80 (assume @p350 (forall @t385 (=> @t88 (= @t480 @t25)))) % 0.46/8.80 (assume @p351 (forall @t98 (=> @t382 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t380 @t410) @t25)))) % 0.46/8.80 (assume @p352 (forall @t288 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t286 @t285) (tptp.c_Relation_ODomain @t7 @t84 (tptp.c_Groups_Ominus__class_Ominus @t287 @t25 @t62))))) % 0.46/8.80 (assume @p353 (forall @t34 (= (tptp.c_Order__Relation_Owell__order__on @t7 @t25 @t12) (and @t348 (tptp.c_Wellfounded_Owf @t7 @t359))))) % 0.46/8.80 (assume @p354 (forall @t11 (= (tptp.c_Set_Othe__elem @t7 @t410) @t10))) % 0.46/8.80 (assume @p355 (forall (@list @t71 @t75 @t2 @t84 @t25 @t10 @t7) (=> @t93 (=> (tptp.c_Nitpick_Ofold__graph_H @t7 @t84 @t2 @t75 @t471 @t71) (tptp.c_Nitpick_Ofold__graph_H @t7 @t84 @t2 @t75 @t25 (tptp.hAPP @t121 @t71)))))) % 0.46/8.80 (assume @p356 (forall @t254 (=> @t486 (=> @t485 (=> @t484 (= @t483 @t252)))))) % 0.46/8.80 (assume @p357 (forall (@list @t99 @t7 @t84) (= (tptp.c_Relation_OImage @t84 @t7 @t99 @t488) @t398))) % 0.46/8.80 (assume @p358 (forall (@list @t25 @t490 @t12 @t491 @t84 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t287 @t491 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t490 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t487 (tptp.c_Relation_OImage @t7 @t84 @t491 @t490) @t489))))) % 0.46/8.80 (assume @p359 (forall (@list @t62 @t7 @t25) (=> (= @t25 @t407) (tptp.c_Orderings_Oord__class_Oless__eq @t244 @t25 @t62)))) % 0.46/8.80 (assume @p360 (forall (@list @t62 @t25 @t99 @t7 @t84) (= (tptp.c_Relation_OImage @t84 @t7 @t99 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t487 @t25 @t62)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t493 @t492)))) % 0.46/8.80 (assume @p361 (forall @t122 (= (tptp.c_Relation_OImage @t7 @t7 @t182 @t25) @t25))) % 0.46/8.80 (assume @p362 (forall (@list @t494 @t12 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t7 @t7 @t12 @t494) @t494) (= (tptp.c_Relation_OImage @t7 @t7 @t179 @t494) @t494)))) % 0.46/8.80 (assume @p363 (forall (@list @t25 @t295 @t99 @t7 @t84) (= (tptp.c_Relation_OImage @t84 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t284 @t99 @t295) @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t493 (tptp.c_Relation_OImage @t84 @t7 @t295 @t25))))) % 0.46/8.80 (assume @p364 (forall (@list @t75 @t2 @t84 @t7) (tptp.c_Nitpick_Ofold__graph_H @t7 @t84 @t2 @t75 @t398 @t75))) % 0.46/8.80 (assume @p365 (forall (@list @t163 @t160 @t84 @t7) (tptp.c_Nitpick_Ofold__graph_H @t7 @t84 @t160 @t163 @t398 @t163))) % 0.46/8.80 (assume @p366 (forall (@list @t12 @t54 @t84 @t25 @t51 @t7) (=> @t88 (=> @t111 (tptp.c_member @t84 @t54 @t489))))) % 0.46/8.80 (assume @p367 @t501) % 0.46/8.80 (assume @p368 (forall (@list @t25 @t99 @t7) (=> (tptp.c_Wellfounded_Owf @t7 @t99) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 (tptp.c_Relation_OImage @t7 @t7 @t99 @t25)) @t411)))) % 0.46/8.80 (assume @p369 (forall @t184 (tptp.c_Order__Relation_Owell__order__on @t7 @t398 @t407))) % 0.46/8.80 (assume @p370 @t502) % 0.46/8.80 (assume @p371 (forall @t254 (=> (tptp.c_Order__Relation_Opartial__order__on @t7 @t363 @t12) @t504))) % 0.46/8.80 (assume @p372 (forall @t254 (=> (tptp.c_Relation_Orefl__on @t7 @t363 @t12) (=> @t253 @t504)))) % 0.46/8.80 (assume @p373 (forall (@list @t62 @t25 @t12 @t7) (=> @t486 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t363) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t62 @t363) (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t7 @t7 @t12 @t25) (tptp.c_Relation_OImage @t7 @t7 @t12 @t62)) (forall @t6 (=> @t29 (exists @t27 (and @t505 @t19)))))))))) % 0.46/8.80 (assume @p374 (forall (@list @t2 @t7) (tptp.c_Wellfounded_Owf @t7 (tptp.c_Wellfounded_Omeasure @t7 @t2)))) % 0.46/8.80 (assume @p375 (forall (@list @t508 @t160 @t163 @t506 @t507 @t84 @t7) (= (tptp.c_Nitpick_Ofold__graph_H @t7 @t84 @t507 @t506 @t163 @t509) (or (and (= @t163 @t398) (= @t509 @t506)) (exists @t45 (and (= @t509 (tptp.hAPP (tptp.hAPP @t507 @t3) @t38)) (tptp.c_member @t7 @t3 @t163) (tptp.c_Nitpick_Ofold__graph_H @t7 @t84 @t507 @t506 (tptp.c_Groups_Ominus__class_Ominus @t8 @t163 (tptp.c_Set_Oinsert @t7 @t3 @t398)) @t38))))))) % 0.46/8.80 (assume @p376 (forall @t466 (=> (tptp.class_Groups_Oordered__ab__group__add @t7) (=> @t510 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t51 @t54) (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t50 @t465)))))) % 0.46/8.80 (assume @p377 (forall @t466 (=> (tptp.class_Groups_Oab__group__add @t7) (=> @t510 (= @t90 (= @t50 @t465)))))) % 0.46/8.80 (assume @p378 (forall @t500 (=> @t498 (not (forall @t6 (=> @t143 (not @t495))))))) % 0.46/8.80 (assume @p379 (forall (@list @t7 @t99 @t84 @t103) (=> (forall @t6 (=> @t275 (tptp.c_Wellfounded_Owf @t84 (tptp.hAPP @t99 @t3)))) (tptp.c_Wellfounded_Owf @t101 @t104)))) % 0.46/8.80 (assume @p380 (forall (@list @t51 @t54 @t12 @t25 @t7) (=> @t512 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t481 @t482) @t511)))) % 0.46/8.80 (assume @p381 (forall (@list @t51 @t513 @t12 @t84 @t7 @t2) (=> (= @t2 @t514) (=> @t401 (= (tptp.hAPP @t2 @t51) (tptp.hAPP (tptp.hAPP @t513 @t170) @t51)))))) % 0.46/8.80 (assume @p382 (forall @t147 (=> @t512 (=> @t88 (tptp.c_member @t7 @t51 @t482))))) % 0.46/8.80 (assume @p383 (forall @t515 (=> @t512 (=> @t59 @t503)))) % 0.46/8.80 (assume @p384 (forall (@list @t25 @t54 @t51 @t12 @t7) (=> @t503 (=> @t512 @t511)))) % 0.46/8.80 (assume @p385 (forall @t149 (=> @t512 (=> @t93 (=> @t92 (= @t517 @t148)))))) % 0.46/8.80 (assume @p386 (forall @t149 (=> @t512 (= @t148 (and @t517 @t93 @t92))))) % 0.46/8.80 (assume @p387 (forall @t515 (=> @t512 (=> @t59 @t483)))) % 0.46/8.80 (assume @p388 (forall (@list @t84 @t7 @t518 @t175) (=> (tptp.c_Wellfounded_Owf @t7 @t175) (forall @t6 (= (tptp.hAPP @t519 @t3) (tptp.hAPP (tptp.hAPP @t518 (tptp.c_Recdef_Ocut @t7 @t84 @t519 @t175 @t3)) @t3)))))) % 0.46/8.80 (assume @p389 (forall (@list @t51 @t513 @t84 @t12 @t7) (=> @t401 (= (tptp.hAPP @t514 @t51) (tptp.hAPP (tptp.hAPP @t513 (tptp.c_Recdef_Ocut @t7 @t84 @t514 @t12 @t51)) @t51))))) % 0.46/8.80 (assume @p390 (forall @t149 (=> @t512 (=> @t93 (=> @t92 (= (= (tptp.c_Equiv__Relations_Oquotient @t7 @t410 @t12) (tptp.c_Equiv__Relations_Oquotient @t7 @t516 @t12)) @t148)))))) % 0.46/8.80 (assume @p391 (forall (@list @t54 @t51 @t10 @t12 @t25 @t7) (=> @t512 (=> (tptp.c_member @t7 @t10 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t482 @t481)) @t59)))) % 0.46/8.80 (assume @p392 (forall (@list @t7 @t62 @t10 @t25) (=> @t97 (=> @t259 @t521)))) % 0.46/8.80 (assume @p393 (forall @t262 (=> @t521 (not (=> @t97 @t263))))) % 0.46/8.80 (assume @p394 (forall @t265 (=> @t522 (not @t68)))) % 0.46/8.80 (assume @p395 (forall @t265 (=> @t64 (=> @t63 @t522)))) % 0.46/8.80 (assume @p396 (forall (@list @t523 @t494 @t12 @t25 @t7) (=> @t512 (=> (tptp.c_member @t8 @t494 @t524) (=> (tptp.c_member @t8 @t523 @t524) (or (= @t494 @t523) (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t494 @t523) @t398))))))) % 0.46/8.80 (assume @p397 (forall @t17 (= (tptp.c_Equiv__Relations_Oquotient @t7 @t398 @t12) @t525))) % 0.46/8.80 (assume @p398 (forall @t34 (= (= @t525 @t524) @t411))) % 0.46/8.80 (assume @p399 (forall @t34 (= (= @t524 @t525) @t411))) % 0.46/8.80 (assume @p400 (forall @t320 (=> @t474 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t415 @t318) @t415)))) % 0.46/8.80 (assume @p401 (forall @t320 (=> @t474 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t415) @t415)))) % 0.46/8.80 (assume @p402 (forall @t335 (=> @t316 @t527))) % 0.46/8.80 (assume @p403 (forall @t335 (=> @t528 @t527))) % 0.46/8.80 (assume @p404 (forall @t335 (=> @t316 @t529))) % 0.46/8.80 (assume @p405 (forall @t335 (=> @t528 @t529))) % 0.46/8.80 (assume @p406 (forall @t95 (=> @t528 (= @t424 (= @t530 @t10))))) % 0.46/8.80 (assume @p407 (forall @t446 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t71 @t75)) (and @t424 @t445))))) % 0.46/8.80 (assume @p408 (forall @t454 (=> @t528 (=> @t453 @t532)))) % 0.46/8.80 (assume @p409 (forall (@list @t250 @t318 @t248 @t7) (=> @t528 (=> @t452 @t532)))) % 0.46/8.80 (assume @p410 (forall @t335 (=> @t528 (=> @t420 (= @t526 @t318))))) % 0.46/8.80 (assume @p411 (forall @t437 (=> @t528 (=> @t419 (= @t526 @t331))))) % 0.46/8.80 (assume @p412 (forall @t449 (=> @t528 (=> @t448 (=> @t450 @t533))))) % 0.46/8.80 (assume @p413 (forall @t345 (=> @t528 (=> @t420 (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t318 @t534)))))) % 0.46/8.80 (assume @p414 (forall @t457 (=> @t528 (=> @t429 (=> @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t531 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t337 @t455))))))) % 0.46/8.80 (assume @p415 (forall @t449 (=> @t528 (=> @t533 (not (=> @t448 (not @t450))))))) % 0.46/8.80 (assume @p416 (forall @t535 (=> @t401 (tptp.c_Wellfounded_Owf @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t244 @t12 @t491))))) % 0.46/8.80 (assume @p417 (forall @t535 (=> @t401 (tptp.c_Wellfounded_Owf @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t244 @t491 @t12))))) % 0.46/8.80 (assume @p418 (forall @t293 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t398 @t62) @t398))) % 0.46/8.80 (assume @p419 (forall @t122 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t398) @t398))) % 0.46/8.80 (assume @p420 (forall @t269 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t520 @t25))) % 0.46/8.80 (assume @p421 (forall @t269 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t520 @t62))) % 0.46/8.80 (assume @p422 (forall (@list @t62 @t25 @t99 @t84 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t84 @t7 @t99 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t487 @t25 @t62)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t493 @t492)))) % 0.46/8.80 (assume @p423 (forall @t269 (= @t536 (forall @t6 (=> @t29 (forall @t27 (=> @t505 @t23))))))) % 0.46/8.80 (assume @p424 (forall @t269 (=> @t406 (= @t520 @t25)))) % 0.46/8.80 (assume @p425 (forall @t393 (=> @t405 (= @t520 @t62)))) % 0.46/8.80 (assume @p426 (forall @t538 (=> @t537 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t62) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t520))))) % 0.46/8.80 (assume @p427 (forall @t464 (=> @t433 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t520 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t270 @t460)))))) % 0.46/8.80 (assume @p428 (forall @t288 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_ODomain @t7 @t84 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t287 @t25 @t62)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t286 @t285)))) % 0.46/8.80 (assume @p429 (forall @t288 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_ORange @t84 @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t284 @t25 @t62)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t283 @t282)))) % 0.46/8.80 (assume @p430 (forall @t345 (=> @t316 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t540 @t539)))) % 0.46/8.80 (assume @p431 (forall @t345 (=> @t316 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t543 @t541)))) % 0.46/8.80 (assume @p432 (forall @t548 @t547)) % 0.46/8.80 (assume @p433 (forall @t551 @t550)) % 0.46/8.80 (assume @p434 (forall @t548 @t552)) % 0.46/8.80 (assume @p435 (forall @t551 @t553)) % 0.46/8.80 (assume @p436 (forall @t548 (and @t547 @t552))) % 0.46/8.80 (assume @p437 (forall @t551 (and @t550 @t553))) % 0.46/8.80 (assume @p438 (forall @t269 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t392) @t398))) % 0.46/8.80 (assume @p439 (forall @t269 (=> @t536 (= @t375 @t25)))) % 0.46/8.80 (assume @p440 (forall @t274 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t520 @t270) @t554) @t537))) % 0.46/8.80 (assume @p441 (forall @t269 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t375 @t520) @t25))) % 0.46/8.80 (assume @p442 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t272) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t375 @t391)))) % 0.46/8.80 (assume @p443 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t544) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t375 @t391)))) % 0.46/8.80 (assume @p444 (forall @t328 (=> @t528 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t250 @t250) @t250)))) % 0.46/8.80 (assume @p445 (forall @t320 (=> @t528 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t318) @t318)))) % 0.46/8.80 (assume @p446 (forall @t330 (=> @t528 (= @t531 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t248 @t250))))) % 0.46/8.80 (assume @p447 (forall @t335 (=> @t316 @t556))) % 0.46/8.80 (assume @p448 (forall @t335 (=> @t528 @t556))) % 0.46/8.80 (assume @p449 (forall @t330 (=> @t528 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t250 @t531) @t531)))) % 0.46/8.80 (assume @p450 (forall @t335 (=> @t316 @t557))) % 0.46/8.80 (assume @p451 (forall @t335 (=> @t528 @t557))) % 0.46/8.80 (assume @p452 (forall @t339 (=> @t528 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t248 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t250 @t337)) @t558)))) % 0.46/8.80 (assume @p453 (forall @t345 (=> @t316 @t560))) % 0.46/8.80 (assume @p454 (forall @t345 (=> @t528 @t560))) % 0.46/8.80 (assume @p455 (forall @t346 (=> @t528 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t531 @t337) @t558)))) % 0.46/8.80 (assume @p456 (forall @t345 (=> @t316 @t561))) % 0.46/8.80 (assume @p457 (forall @t345 (=> @t528 @t561))) % 0.46/8.80 (assume @p458 (forall @t317 (=> @t316 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t85 @t2 @t1) @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t121 @t315))))) % 0.46/8.80 (assume @p459 (forall @t122 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t25) @t25))) % 0.46/8.80 (assume @p460 (forall @t269 (= @t520 @t562))) % 0.46/8.80 (assume @p461 (forall @t269 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t520) @t520))) % 0.46/8.80 (assume @p462 (forall @t274 (= @t564 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t62 @t563)))) % 0.46/8.80 (assume @p463 (forall @t274 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t520 @t270) @t564))) % 0.46/8.80 (assume @p464 (forall @t262 (=> @t521 @t97))) % 0.46/8.80 (assume @p465 (forall @t262 (=> @t521 @t259))) % 0.46/8.80 (assume @p466 (forall @t281 (=> @t146 (=> @t280 (tptp.c_Relation_Orefl__on @t7 @t520 @t565))))) % 0.46/8.80 (assume @p467 (forall @t265 (=> @t522 @t63))) % 0.46/8.80 (assume @p468 (forall @t265 (=> @t522 @t64))) % 0.46/8.80 (assume @p469 (forall @t265 (= @t522 (and @t64 @t63)))) % 0.46/8.80 (assume @p470 (forall @t320 (=> @t319 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t83 @t318) @t318)))) % 0.46/8.80 (assume @p471 (forall @t320 (=> @t319 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t83) @t318)))) % 0.46/8.80 (assume @p472 (forall @t95 (=> @t319 (= (= @t530 @t83) (and (= @t10 @t83) (= @t71 @t83)))))) % 0.46/8.80 (assume @p473 (forall @t567 (=> @t566 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t534 @t318) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t332 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t340 @t318)))))) % 0.46/8.80 (assume @p474 (forall @t567 (=> @t566 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t342 @t318) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t555 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t340 @t318)))))) % 0.46/8.80 (assume @p475 (forall @t345 (=> @t566 (= @t540 @t539)))) % 0.46/8.80 (assume @p476 (forall @t345 (=> @t566 (= @t541 @t543)))) % 0.46/8.80 (assume @p477 (forall @t335 (=> @t316 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t318 @t526) @t318)))) % 0.46/8.80 (assume @p478 (forall @t335 (=> @t316 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t318 @t333) @t318)))) % 0.46/8.80 (assume @p479 (forall @t397 (=> @t47 (=> (tptp.c_Relation_Otrans @t7 @t138) (tptp.c_Relation_Otrans @t7 @t565))))) % 0.46/8.80 (assume @p480 (forall @t462 (= @t568 (tptp.c_Groups_Ominus__class_Ominus @t8 @t563 @t62)))) % 0.46/8.80 (assume @p481 (forall @t274 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t375 @t270) @t568))) % 0.46/8.80 (assume @p482 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t520 @t270) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t390)))) % 0.46/8.80 (assume @p483 (forall @t538 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t270 @t375) (tptp.c_Groups_Ominus__class_Ominus @t8 @t569 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t270 @t62))))) % 0.46/8.80 (assume @p484 (forall @t274 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t520 @t544) @t569) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t260 @t272) @t570)))) % 0.46/8.80 (assume @p485 (forall @t571 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t544 @t25) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t268 @t570)))) % 0.46/8.80 (assume @p486 (forall @t571 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t272 @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t562 @t569)))) % 0.46/8.80 (assume @p487 (forall @t274 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t544) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t260 @t271)))) % 0.46/8.80 (assume @p488 (forall @t274 (= @t554 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t520 @t563)))) % 0.46/8.80 (assume @p489 (forall @t122 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t9) @t25))) % 0.46/8.80 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p491 (forall @t576 (=> @t575 (tptp.class_Lattices_Obounded__lattice @t574)))) % 0.46/8.80 (assume @p492 (forall @t576 (=> @t575 (tptp.class_Lattices_Obounded__lattice__top @t574)))) % 0.46/8.80 (assume @p493 (forall @t576 (=> @t575 (tptp.class_Lattices_Obounded__lattice__bot @t574)))) % 0.46/8.80 (assume @p494 (forall @t576 (=> @t577 (tptp.class_Lattices_Osemilattice__sup @t574)))) % 0.46/8.80 (assume @p495 (forall @t576 (=> @t577 (tptp.class_Lattices_Osemilattice__inf @t574)))) % 0.46/8.80 (assume @p496 (forall @t576 (=> (tptp.class_Lattices_Odistrib__lattice @t572) (tptp.class_Lattices_Odistrib__lattice @t574)))) % 0.46/8.80 (assume @p497 (forall @t576 (=> (tptp.class_Orderings_Opreorder @t572) (tptp.class_Orderings_Opreorder @t574)))) % 0.46/8.80 (assume @p498 (forall @t576 (=> @t577 (tptp.class_Lattices_Olattice @t574)))) % 0.46/8.80 (assume @p499 (forall @t576 (=> (tptp.class_Orderings_Oorder @t572) (tptp.class_Orderings_Oorder @t574)))) % 0.46/8.80 (assume @p500 (forall @t576 (=> (tptp.class_Orderings_Otop @t572) (tptp.class_Orderings_Otop @t574)))) % 0.46/8.80 (assume @p501 (forall @t576 (=> (tptp.class_Orderings_Oord @t572) (tptp.class_Orderings_Oord @t574)))) % 0.46/8.80 (assume @p502 (forall @t576 (=> (tptp.class_Orderings_Obot @t572) (tptp.class_Orderings_Obot @t574)))) % 0.46/8.80 (assume @p503 (forall @t576 (=> (tptp.class_Groups_Ominus @t572) (tptp.class_Groups_Ominus @t574)))) % 0.46/8.80 (assume @p504 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p512 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p513 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p514 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p515 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.46/8.80 (assume @p516 (forall @t579 (or (not @t578) @t78))) % 0.46/8.80 (assume @p517 (forall @t579 (or @t79 @t578))) % 0.46/8.80 (assume @p518 @t586) % 0.46/8.80 (assume @p519 (tptp.c_member @t73 @t588 @t587)) % 0.46/8.80 (assume @p520 @t592) % 0.46/8.80 (assume @p521 @t601) % 0.46/8.80 (assume @p522 (not @t602)) % 0.46/8.80 (assume @p523 true) % 0.46/8.80 (step @p524 :rule instantiate :premises (@p3) :args (@t603)) % 0.46/8.80 (step @p525 :rule alpha_equiv :args (@t604 @t605 (@list @t606))) % 0.46/8.80 (step @p526 :rule alpha_equiv :args (@t607 @t605 (@list @t608))) % 0.46/8.80 (step @p527 :rule alpha_equiv :args (@t609 @t605 (@list @t610))) % 0.46/8.80 (step @p528 :rule nary_cong :premises (@p527 @p526 @p525) :args (@t611)) % 0.46/8.80 (step @p529 :rule quant-miniscope-and :args ((= @t586 @t611))) % 0.46/8.80 (step @p530 :rule trans :premises (@p529 @p528)) % 0.46/8.80 (step @p531 :rule eq_resolve :premises (@p518 @p530)) % 0.46/8.80 (step @p532 :rule refl :args (@t591)) % 0.46/8.80 (step @p533 :rule cong :premises (@p530 @p532) :args (@t592)) % 0.46/8.80 (step @p534 :rule eq_resolve :premises (@p520 @p533)) % 0.46/8.80 (step @p535 :rule implies_elim :premises (@p534)) % 0.46/8.80 (step @p536 :rule reordering :premises (@p535) :args ((or @t591 @t613))) % 0.46/8.80 (step @p537 :rule chain_m_resolution :premises (@p536 @p531) :args (@t591 @t614 @t615)) % 0.46/8.80 (step @p538 :rule cnf_and_pos :args (@t591 1)) % 0.46/8.80 (step @p539 :rule reordering :premises (@p538) :args ((or @t589 @t616))) % 0.46/8.80 (step @p540 :rule chain_m_resolution :premises (@p539 @p537) :args (@t589 @t614 @t617)) % 0.46/8.80 (step @p541 :rule cnf_equiv_pos1 :args (@t619)) % 0.46/8.80 (step @p542 :rule reordering :premises (@p541) :args ((or (not @t589) @t618 (not @t619)))) % 0.46/8.80 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p524) :args (@t618 @t620 (@list @t589 @t619))) % 0.46/8.80 (step @p544 :rule instantiate :premises (@p543) :args ((@list tptp.v_a))) % 0.46/8.80 (step @p545 :rule false_intro :premises (@p544)) % 0.46/8.80 (step @p546 :rule bool-impl-elim :args (@t47 @t621)) % 0.46/8.80 (step @p547 :rule cong :premises (@p546) :args ((forall @t17 (=> @t47 @t621)))) % 0.46/8.80 (step @p548 :rule eq-symm :args (@t242 @t12)) % 0.46/8.80 (step @p549 :rule refl :args (@t47)) % 0.46/8.80 (step @p550 :rule cong :premises (@p549 @p548) :args (@t301)) % 0.46/8.80 (step @p551 :rule cong :premises (@p550) :args (@t302)) % 0.46/8.80 (step @p552 :rule trans :premises (@p551 @p547)) % 0.46/8.80 (step @p553 :rule eq_resolve :premises (@p134 @p552)) % 0.46/8.80 (step @p554 :rule instantiate :premises (@p553) :args (@t603)) % 0.46/8.80 (step @p555 :rule cnf_and_pos :args (@t591 0)) % 0.46/8.80 (step @p556 :rule reordering :premises (@p555) :args ((or @t590 @t616))) % 0.46/8.80 (step @p557 :rule chain_m_resolution :premises (@p556 @p537) :args (@t590 @t614 @t617)) % 0.46/8.80 (step @p558 :rule cnf_or_pos :args (@t625)) % 0.46/8.80 (step @p559 :rule reordering :premises (@p558) :args ((or @t624 @t623 (not @t625)))) % 0.46/8.80 (step @p560 :rule chain_m_resolution :premises (@p559 @p557 @p554) :args (@t623 @t620 (@list @t590 @t625))) % 0.46/8.80 (step @p561 :rule symm :premises (@p560)) % 0.46/8.80 (step @p562 :rule refl :args (@t626)) % 0.46/8.80 (step @p563 :rule refl :args (@t73)) % 0.46/8.80 (step @p564 :rule cong :premises (@p563 @p562 @p561) :args (@t627)) % 0.46/8.80 (step @p565 :rule trans :premises (@p564 @p545)) % 0.46/8.80 (step @p566 :rule false_elim :premises (@p565)) % 0.46/8.80 (step @p567 :rule aci_norm :args ((= (or @t629 (or @t628 @t304)) (or @t629 @t628 @t304)))) % 0.46/8.80 (step @p568 :rule bool-impl-elim :args (@t56 @t304)) % 0.46/8.80 (step @p569 :rule refl :args (@t629)) % 0.46/8.80 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or @t629 @t306))) % 0.46/8.80 (step @p571 :rule trans :premises (@p570 @p567)) % 0.46/8.80 (step @p572 :rule bool-impl-elim :args (@t243 @t306)) % 0.46/8.80 (step @p573 :rule trans :premises (@p572 @p571)) % 0.46/8.80 (step @p574 :rule cong :premises (@p573) :args (@t307)) % 0.46/8.80 (step @p575 :rule eq_resolve :premises (@p138 @p574)) % 0.46/8.80 (step @p576 :rule instantiate :premises (@p575) :args ((@list tptp.v_a @t587 @t632 tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.46/8.80 (step @p577 :rule aci_norm :args ((= (or @t633 @t291) (or @t633 @t64 @t63)))) % 0.46/8.80 (step @p578 :rule refl :args (@t63)) % 0.46/8.80 (step @p579 :rule bool-double-not-elim :args (@t64)) % 0.46/8.80 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or (not @t65) @t63))) % 0.46/8.80 (step @p581 :rule bool-impl-elim :args (@t65 @t63)) % 0.46/8.80 (step @p582 :rule trans :premises (@p581 @p580)) % 0.46/8.80 (step @p583 :rule refl :args (@t633)) % 0.46/8.80 (step @p584 :rule nary_cong :premises (@p583 @p582) :args ((or @t633 @t66))) % 0.46/8.80 (step @p585 :rule trans :premises (@p584 @p577)) % 0.46/8.80 (step @p586 :rule bool-impl-elim :args (@t264 @t66)) % 0.46/8.80 (step @p587 :rule trans :premises (@p586 @p585)) % 0.46/8.80 (step @p588 :rule cong :premises (@p587) :args (@t266)) % 0.46/8.80 (step @p589 :rule eq_resolve :premises (@p105 @p588)) % 0.46/8.80 (step @p590 :rule instantiate :premises (@p589) :args ((@list @t635 @t622 @t634 @t73))) % 0.46/8.80 (step @p591 :rule bool-impl-elim :args (@t308 @t636)) % 0.46/8.80 (step @p592 :rule cong :premises (@p591) :args ((forall @t309 (=> @t308 @t636)))) % 0.46/8.80 (step @p593 :rule bool-and-de-morgan :args (@t352 @t351 true)) % 0.46/8.80 (step @p594 :rule cong :premises (@p593) :args (@t637)) % 0.46/8.80 (step @p595 :rule cong :premises (@p594) :args (@t638)) % 0.46/8.80 (step @p596 :rule exists-elim :args ((= @t354 @t638))) % 0.46/8.80 (step @p597 :rule trans :premises (@p596 @p595)) % 0.46/8.80 (step @p598 :rule refl :args (@t308)) % 0.46/8.80 (step @p599 :rule cong :premises (@p598 @p597) :args (@t355)) % 0.46/8.80 (step @p600 :rule cong :premises (@p599) :args (@t356)) % 0.46/8.80 (step @p601 :rule trans :premises (@p600 @p592)) % 0.46/8.80 (step @p602 :rule eq_resolve :premises (@p175 @p601)) % 0.46/8.80 (step @p603 :rule instantiate :premises (@p602) :args ((@list @t587 tptp.v_b tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.46/8.80 (step @p604 :rule true_intro :premises (@p519)) % 0.46/8.80 (step @p605 :rule refl :args (@t588)) % 0.46/8.80 (step @p606 :rule cong :premises (@p563 @p605 @p561) :args (@t639)) % 0.46/8.80 (step @p607 :rule trans :premises (@p606 @p604)) % 0.46/8.80 (step @p608 :rule true_elim :premises (@p607)) % 0.46/8.80 (step @p609 :rule cnf_or_pos :args 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@p816) :args (true @t714)) % 0.46/8.80 (step @p830 :rule not_and :premises (@p829)) % 0.46/8.80 (step @p831 :rule eq_resolve :premises (@p830 @p801)) % 0.46/8.80 (step @p832 :rule reordering :premises (@p831) :args ((or @t707 @t712 @t713))) % 0.46/8.80 (step @p833 :rule chain_m_resolution :premises (@p832 @p797 @p785) :args (@t712 @t666 (@list @t707 @t703))) % 0.46/8.80 (step @p834 :rule cnf_or_pos :args (@t717)) % 0.46/8.80 (step @p835 :rule reordering :premises (@p834) :args ((or @t711 @t700 @t716 (not @t717)))) % 0.46/8.80 (step @p836 :rule chain_m_resolution :premises (@p835 @p833 @p772 @p746) :args (@t716 (@list true true false) (@list @t711 @t700 @t717))) % 0.46/8.80 (step @p837 :rule bool-impl-elim :args (@t111 @t109)) % 0.46/8.80 (step @p838 :rule cong :premises (@p837) :args (@t113)) % 0.46/8.80 (step @p839 :rule eq_resolve :premises (@p20 @p838)) % 0.46/8.80 (step @p840 :rule instantiate :premises (@p839) :args ((@list @t630 @t632 tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt 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instantiate :premises (@p2) :args ((@list tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.46/8.80 (step @p854 :rule cnf_or_pos :args (@t725)) % 0.46/8.80 (step @p855 :rule reordering :premises (@p854) :args ((or @t724 @t711 @t721 @t722 @t715 (not @t725)))) % 0.46/8.80 (step @p856 :rule chain_m_resolution :premises (@p855 @p853 @p833 @p852 @p836 @p728) :args (@t721 (@list false true false true false) (@list @t723 @t711 @t720 @t715 @t725))) % 0.46/8.80 (step @p857 :rule cnf_or_pos :args (@t729)) % 0.46/8.80 (step @p858 :rule reordering :premises (@p857) :args ((or @t726 @t728 (not @t729)))) % 0.46/8.80 (step @p859 :rule chain_m_resolution :premises (@p858 @p856 @p684) :args (@t728 @t620 (@list @t721 @t729))) % 0.46/8.80 (step @p860 :rule aci_norm :args ((= (or false @t733) @t733))) % 0.46/8.80 (step @p861 :rule refl :args (@t733)) % 0.46/8.80 (step @p862 :rule evaluate :args ((not true))) % 0.46/8.80 (step @p863 :rule eq-refl :args (@t731)) % 0.46/8.80 (step @p864 :rule cong 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0.46/8.80 (step @p879 :rule refl :args (@t751)) % 0.46/8.80 (step @p880 :rule nary_cong :premises (@p879 @p878) :args ((and @t751 @t746))) % 0.46/8.80 (step @p881 :rule alpha_equiv :args (@t754 @t755 (@list @t737 @t730 @t731 @t732))) % 0.46/8.80 (step @p882 :rule alpha_equiv :args (@t757 @t755 (@list @t748 @t747 @t750 @t749))) % 0.46/8.80 (step @p883 :rule nary_cong :premises (@p882 @p881) :args (@t758)) % 0.46/8.80 (step @p884 :rule quant-miniscope-and :args ((= (forall @t370 (and @t756 @t753)) @t758))) % 0.46/8.80 (step @p885 :rule trans :premises (@p884 @p883)) % 0.46/8.80 (step @p886 :rule trans :premises (@p885 @p880)) % 0.46/8.80 (step @p887 :rule bool-or-and-distrib :args (@t367 @t752 true @t365 false)) % 0.46/8.80 (step @p888 :rule cong :premises (@p887) :args ((forall @t370 (or (and @t367 @t752) @t365)))) % 0.46/8.80 (step @p889 :rule trans :premises (@p888 @p886)) % 0.46/8.80 (step @p890 :rule refl :args (@t365)) % 0.46/8.80 (step @p891 :rule bool-implies-de-morgan :args 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0.46/8.80 (step-pop @p1015 :rule scope :premises (@p921)) % 0.46/8.80 (step-pop @p1016 :rule scope :premises (@p1015)) % 0.46/8.80 (step-pop @p1017 :rule scope :premises (@p1016)) % 0.46/8.80 (step @p922 :rule process_scope :premises (@p1017) :args (false)) % 0.46/8.80 (step @p926 :rule not_and :premises (@p922)) % 0.46/8.80 (step @p927 :rule eq_resolve :premises (@p926 @p909)) % 0.46/8.80 (step @p928 :rule chain_m_resolution :premises (@p927 @p905 @p859) :args (@t760 (@list false true) (@list @t761 @t727))) % 0.46/8.80 (step @p929 :rule cnf_equiv_pos2 :args (@t657)) % 0.46/8.80 (step @p930 :rule reordering :premises (@p929) :args ((or @t656 @t763 (not @t657)))) % 0.46/8.80 (step @p931 :rule chain_m_resolution :premises (@p930 @p928 @p652) :args (@t763 @t666 (@list @t656 @t657))) % 0.46/8.80 (step @p932 :rule cnf_or_pos :args (@t766)) % 0.46/8.80 (step @p933 :rule reordering :premises (@p932) :args ((or @t652 @t765 @t764 (not @t766)))) % 0.46/8.80 (step @p934 :rule chain_m_resolution :premises (@p933 @p931 @p629 @p590) :args (@t764 @t767 (@list @t652 @t651 @t766))) % 0.46/8.80 (step @p935 :rule refl :args (@t769)) % 0.46/8.80 (step @p936 :rule refl :args (@t771)) % 0.46/8.80 (step @p937 :rule nary_cong :premises (@p640 @p936 @p935) :args (@t772)) % 0.46/8.80 (step @p938 :rule refl :args (@t695)) % 0.46/8.80 (step @p939 :rule cong :premises (@p938 @p937) :args ((=> @t695 @t772))) % 0.46/8.83 (assume-push @p1018 @t695) % 0.46/8.83 (step @p941 :rule instantiate :premises (@p745) :args ((@list @t632 tptp.v_a))) % 0.46/8.83 (step-pop @p1019 :rule scope :premises (@p941)) % 0.46/8.83 (step @p942 :rule process_scope :premises (@p1019) :args (@t772)) % 0.46/8.83 (step @p944 :rule eq_resolve :premises (@p942 @p939)) % 0.46/8.83 (step @p945 :rule implies_elim :premises (@p944)) % 0.46/8.83 (step @p946 :rule chain_m_resolution :premises (@p945 @p745) :args (@t773 @t614 (@list @t695))) % 0.46/8.83 (step @p947 :rule instantiate :premises (@p727) :args ((@list tptp.v_a @t632))) % 0.46/8.83 (step @p948 :rule aci_norm :args ((= @t779 (or @t777 @t776 @t775)))) % 0.46/8.83 (step @p949 :rule cong :premises (@p948) :args (@t781)) % 0.46/8.83 (step @p950 :rule quant-merge-prenex :args ((= (forall @t45 @t783) @t781))) % 0.46/8.83 (step @p951 :rule alpha_equiv :args (@t784 (@list @t774) (@list @t36))) % 0.46/8.83 (step @p952 :rule refl :args (@t777)) % 0.46/8.83 (step @p953 :rule nary_cong :premises (@p952 @p951) :args (@t785)) % 0.46/8.83 (step @p954 :rule quant-miniscope-or :args ((= @t783 @t785))) % 0.46/8.83 (step @p955 :rule trans :premises (@p954 @p953)) % 0.46/8.83 (step @p956 :rule symm :premises (@p955)) % 0.46/8.83 (step @p957 :rule cong :premises (@p956) :args ((forall @t45 (or @t777 @t786)))) % 0.46/8.83 (step @p958 :rule trans :premises (@p957 @p950)) % 0.46/8.83 (step @p959 :rule trans :premises (@p958 @p949)) % 0.46/8.83 (step @p960 :rule bool-impl-elim :args (@t43 @t786)) % 0.46/8.83 (step @p961 :rule cong :premises (@p960) :args ((forall @t45 (=> @t43 @t786)))) % 0.46/8.83 (step @p962 :rule trans :premises (@p961 @p959)) % 0.46/8.83 (step @p963 :rule bool-impl-elim :args (@t39 @t37)) % 0.46/8.83 (step @p964 :rule cong :premises (@p963) :args (@t41)) % 0.46/8.83 (step @p965 :rule refl :args (@t43)) % 0.46/8.83 (step @p966 :rule cong :premises (@p965 @p964) :args (@t44)) % 0.46/8.83 (step @p967 :rule cong :premises (@p966) :args (@t46)) % 0.46/8.83 (step @p968 :rule trans :premises (@p967 @p962)) % 0.46/8.83 (step @p969 :rule cong :premises (@p549 @p968) :args (@t48)) % 0.46/8.83 (step @p970 :rule cong :premises (@p969) :args (@t49)) % 0.46/8.83 (step @p971 :rule eq_resolve :premises (@p5 @p970)) % 0.46/8.83 (step @p972 :rule instantiate :premises (@p971) :args ((@list @t595 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.46/8.83 (step @p973 :rule and_elim :premises (@p531) :args (0)) % 0.46/8.83 (step @p974 :rule instantiate :premises (@p973) :args (@t688)) % 0.46/8.83 (step @p975 :rule cnf_equiv_pos1 :args (@t789)) % 0.46/8.83 (step @p976 :rule reordering :premises (@p975) :args ((or (not @t788) @t787 (not @t789)))) % 0.46/8.83 (step @p977 :rule chain_m_resolution :premises (@p976 @p974 @p972) :args (@t787 @t620 (@list @t788 @t789))) % 0.46/8.83 (step @p978 :rule instantiate :premises (@p977) :args ((@list tptp.v_a @t632 tptp.v_b))) % 0.46/8.83 (step @p979 :rule cnf_or_pos :args (@t792)) % 0.46/8.83 (step @p980 :rule reordering :premises (@p979) :args ((or @t602 @t791 @t726 (not @t792)))) % 0.46/8.83 (step @p981 :rule chain_m_resolution :premises (@p980 @p522 @p856 @p978) :args (@t791 @t767 (@list @t602 @t721 @t792))) % 0.46/8.83 (step @p982 :rule instantiate :premises (@p2) :args ((@list tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.46/8.83 (step @p983 :rule cnf_or_pos :args (@t795)) % 0.46/8.83 (step @p984 :rule reordering :premises (@p983) :args ((or @t794 @t656 @t790 @t722 @t770 (not @t795)))) % 0.46/8.83 (step @p985 :rule chain_m_resolution :premises (@p984 @p982 @p928 @p981 @p852 @p947) :args (@t770 (@list false true true false false) (@list @t793 @t656 @t790 @t720 @t795))) % 0.46/8.83 (step @p986 :rule cnf_or_pos :args (@t773)) % 0.46/8.83 (step @p987 :rule reordering :premises (@p986) :args ((or @t656 @t769 @t771 (not @t773)))) % 0.46/8.83 (step @p988 :rule chain_m_resolution :premises (@p987 @p928 @p985 @p946) :args (@t769 @t767 (@list @t656 @t770 @t773))) % 0.46/8.83 (step @p989 :rule cnf_or_pos :args (@t798)) % 0.46/8.83 (step @p990 :rule reordering :premises (@p989) :args ((or @t627 @t797 @t796 (not @t798)))) % 0.46/8.83 (step @p991 false :rule chain_m_resolution :premises (@p990 @p988 @p934 @p576 @p566) :args (false (@list false false false true) (@list @t769 @t764 @t798 @t627))) % 0.46/8.83 ) % 0.46/8.83 % SZS output end Proof % 0.46/8.83 % cvc5 exiting %------------------------------------------------------------------------------