%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT105+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:46:18 AM UTC 2026 % Result : Theorem 0.45s 0.85s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT105+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:26:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.85 % SZS status Theorem % 0.45/0.85 % SZS output start Proof % 0.45/0.85 ( % 0.45/0.85 (declare-sort $$unsorted 0) % 0.45/0.85 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 0.45/0.85 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 0.45/0.85 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 0.45/0.85 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 0.45/0.85 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 0.45/0.85 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 0.45/0.85 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.45/0.85 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.45/0.85 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 0.45/0.85 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.v_L $$unsorted) % 0.45/0.85 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.45/0.85 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.85 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 0.45/0.85 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.85 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.45/0.85 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.45/0.85 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.45/0.85 (define @t3 () (@var "B_x" $$unsorted)) % 0.45/0.85 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.45/0.85 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.45/0.85 (define @t6 () (@list @t3)) % 0.45/0.85 (define @t7 () (@var "V_r_2" $$unsorted)) % 0.45/0.85 (define @t8 () (@var "B_z" $$unsorted)) % 0.45/0.85 (define @t9 () (@var "T_a" $$unsorted)) % 0.45/0.85 (define @t10 () (tptp.tc_prod @t9 @t9)) % 0.45/0.85 (define @t11 () (@var "B_y" $$unsorted)) % 0.45/0.85 (define @t12 () (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t11 @t8) @t7)) % 0.45/0.85 (define @t13 () (@list @t8)) % 0.45/0.85 (define @t14 () (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t11)) % 0.45/0.85 (define @t15 () (tptp.c_member @t10 @t14 @t7)) % 0.45/0.85 (define @t16 () (@list @t3 @t11)) % 0.45/0.85 (define @t17 () (forall @t16 (=> @t15 (forall @t13 (=> @t12 (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t8) @t7)))))) % 0.45/0.85 (define @t18 () (tptp.c_Relation_Otrans @t9 @t7)) % 0.45/0.85 (define @t19 () (@list @t7 @t9)) % 0.45/0.85 (define @t20 () (@var "V_c_2" $$unsorted)) % 0.45/0.85 (define @t21 () (@var "V_a_2" $$unsorted)) % 0.45/0.85 (define @t22 () (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t20)) % 0.45/0.85 (define @t23 () (@var "V_b_2" $$unsorted)) % 0.45/0.85 (define @t24 () (tptp.c_Product__Type_OPair @t9 @t9 @t23 @t20)) % 0.45/0.85 (define @t25 () (tptp.c_member @t10 @t24 @t7)) % 0.45/0.85 (define @t26 () (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t23)) % 0.45/0.85 (define @t27 () (tptp.c_member @t10 @t26 @t7)) % 0.45/0.85 (define @t28 () (@var "V_B_2" $$unsorted)) % 0.45/0.85 (define @t29 () (tptp.c_member @t9 @t20 @t28)) % 0.45/0.85 (define @t30 () (@var "V_A_2" $$unsorted)) % 0.45/0.85 (define @t31 () (tptp.c_member @t9 @t20 @t30)) % 0.45/0.85 (define @t32 () (=> (not @t31) @t29)) % 0.45/0.85 (define @t33 () (not @t29)) % 0.45/0.85 (define @t34 () (= @t30 @t28)) % 0.45/0.85 (define @t35 () (@var "V_R_2" $$unsorted)) % 0.45/0.85 (define @t36 () (@var "V_y_2" $$unsorted)) % 0.45/0.85 (define @t37 () (@var "V_x_2" $$unsorted)) % 0.45/0.85 (define @t38 () (@var "T_b" $$unsorted)) % 0.45/0.85 (define @t39 () (tptp.c_Product__Type_OPair @t9 @t38 @t37 @t36)) % 0.45/0.85 (define @t40 () (tptp.tc_prod @t9 @t38)) % 0.45/0.85 (define @t41 () (@var "V_P_2" $$unsorted)) % 0.45/0.85 (define @t42 () (tptp.c_Recdef_Osame__fst @t9 @t38 @t41 @t35)) % 0.45/0.85 (define @t43 () (@var "V_y_H_2" $$unsorted)) % 0.45/0.85 (define @t44 () (tptp.tc_prod @t40 @t40)) % 0.45/0.85 (define @t45 () (tptp.tc_prod @t38 @t38)) % 0.45/0.85 (define @t46 () (tptp.hAPP @t41 @t37)) % 0.45/0.85 (define @t47 () (tptp.hBOOL @t46)) % 0.45/0.85 (define @t48 () (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t3)) % 0.45/0.85 (define @t49 () (tptp.c_member @t10 @t48 @t7)) % 0.45/0.85 (define @t50 () (@var "V_La_2" $$unsorted)) % 0.45/0.85 (define @t51 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.45/0.85 (define @t52 () (= @t37 @t36)) % 0.45/0.85 (define @t53 () (not @t52)) % 0.45/0.85 (define @t54 () (@var "B_b" $$unsorted)) % 0.45/0.85 (define @t55 () (@var "B_a" $$unsorted)) % 0.45/0.85 (define @t56 () (tptp.c_Product__Type_OPair @t9 @t38 @t55 @t54)) % 0.45/0.85 (define @t57 () (@list @t55 @t54)) % 0.45/0.85 (define @t58 () (@var "B_x1" $$unsorted)) % 0.45/0.85 (define @t59 () (@var "V_b_H_2" $$unsorted)) % 0.45/0.85 (define @t60 () (@var "V_a_H_2" $$unsorted)) % 0.45/0.85 (define @t61 () (= @t21 @t60)) % 0.45/0.85 (define @t62 () (tptp.c_Product__Type_OPair @t9 @t38 @t60 @t59)) % 0.45/0.85 (define @t63 () (tptp.c_Product__Type_OPair @t9 @t38 @t21 @t23)) % 0.45/0.85 (define @t64 () (@var "V_b_H" $$unsorted)) % 0.45/0.85 (define @t65 () (@var "V_b" $$unsorted)) % 0.45/0.85 (define @t66 () (@var "V_a_H" $$unsorted)) % 0.45/0.85 (define @t67 () (@var "V_a" $$unsorted)) % 0.45/0.85 (define @t68 () (tptp.hAPP @t30 @t37)) % 0.45/0.85 (define @t69 () (tptp.hBOOL @t68)) % 0.45/0.85 (define @t70 () (tptp.c_member @t9 @t37 @t30)) % 0.45/0.85 (define @t71 () (@list @t30 @t37 @t9)) % 0.45/0.85 (define @t72 () (tptp.c_member @t9 @t21 @t30)) % 0.45/0.85 (define @t73 () (tptp.c_member @t9 @t23 @t30)) % 0.45/0.85 (define @t74 () (= @t21 @t23)) % 0.45/0.85 (define @t75 () (@list @t30 @t9 @t23 @t21)) % 0.45/0.85 (define @t76 () (tptp.c_member @t9 @t36 @t30)) % 0.45/0.85 (define @t77 () (tptp.c_member @t9 @t37 @t28)) % 0.45/0.85 (define @t78 () (@var "V_f1_2" $$unsorted)) % 0.45/0.85 (define @t79 () (@var "T_c" $$unsorted)) % 0.45/0.85 (define @t80 () (tptp.c_Product__Type_OPair @t38 @t79 @t21 @t23)) % 0.45/0.85 (define @t81 () (tptp.c_Relation_Oirrefl @t9 @t7)) % 0.45/0.85 (define @t82 () (@var "V_s_2" $$unsorted)) % 0.45/0.85 (define @t83 () (tptp.c_member @t40 @t63 @t7)) % 0.45/0.85 (define @t84 () (@list @t7 @t23 @t21 @t38 @t9)) % 0.45/0.85 (define @t85 () (tptp.c_Relation_OId__on @t9 @t30)) % 0.45/0.85 (define @t86 () (tptp.c_Product__Type_OPair @t9 @t9 @t37 @t36)) % 0.45/0.85 (define @t87 () (@list @t30 @t36 @t37 @t9)) % 0.45/0.85 (define @t88 () (tptp.c_Relation_ODomain @t9 @t38 @t7)) % 0.45/0.85 (define @t89 () (tptp.c_member @t9 @t21 @t88)) % 0.45/0.85 (define @t90 () (@var "B_xa" $$unsorted)) % 0.45/0.85 (define @t91 () (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t90 @t3) @t7)) % 0.45/0.85 (define @t92 () (@list @t90)) % 0.45/0.85 (define @t93 () (tptp.c_member @t9 @t3 @t30)) % 0.45/0.85 (define @t94 () (tptp.c_Relation_Ototal__on @t9 @t30 @t7)) % 0.45/0.85 (define @t95 () (@list @t7 @t30 @t9)) % 0.45/0.85 (define @t96 () (tptp.hAPP @t2 @t36)) % 0.45/0.85 (define @t97 () (tptp.hAPP @t2 @t37)) % 0.45/0.85 (define @t98 () (@var "V_R2_2" $$unsorted)) % 0.45/0.85 (define @t99 () (@var "V_R1_2" $$unsorted)) % 0.45/0.85 (define @t100 () (@list @t30 @t9)) % 0.45/0.85 (define @t101 () (tptp.hAPP (tptp.c_Relation_Oinv__image @t9 @t38 @t7) @t2)) % 0.45/0.85 (define @t102 () (@list @t2 @t38 @t7 @t9)) % 0.45/0.85 (define @t103 () (tptp.c_member @t40 (tptp.c_Product__Type_OPair @t9 @t38 @t21 @t11) @t7)) % 0.45/0.85 (define @t104 () (@list @t11)) % 0.45/0.85 (define @t105 () (@list @t7 @t38 @t21 @t9)) % 0.45/0.85 (define @t106 () (tptp.tc_prod @t38 @t9)) % 0.45/0.85 (define @t107 () (tptp.c_Relation_ORange @t38 @t9 @t7)) % 0.45/0.85 (define @t108 () (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t38 @t9 @t3 @t23) @t7)) % 0.45/0.85 (define @t109 () (tptp.c_Wellfounded_Oacc @t9 @t7)) % 0.45/0.85 (define @t110 () (tptp.c_member @t9 @t3 @t109)) % 0.45/0.85 (define @t111 () (tptp.c_member @t9 @t21 @t109)) % 0.45/0.85 (define @t112 () (@list @t7 @t21 @t9)) % 0.45/0.85 (define @t113 () (tptp.c_member @t9 @t23 @t109)) % 0.45/0.85 (define @t114 () (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t21)) % 0.45/0.85 (define @t115 () (tptp.c_member @t10 @t114 @t7)) % 0.45/0.85 (define @t116 () (tptp.c_Relation_Orefl__on @t9 @t30 @t7)) % 0.45/0.85 (define @t117 () (@list @t21 @t7 @t30 @t9)) % 0.45/0.85 (define @t118 () (tptp.c_member @t10 @t86 @t7)) % 0.45/0.85 (define @t119 () (@list @t36 @t37 @t7 @t30 @t9)) % 0.45/0.85 (define @t120 () (@var "B_g" $$unsorted)) % 0.45/0.85 (define @t121 () (@var "V_F_2" $$unsorted)) % 0.45/0.85 (define @t122 () (@var "V_a1_2" $$unsorted)) % 0.45/0.85 (define @t123 () (forall @t13 (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t8 @t122) @t35) (tptp.c_Recdef_Owfrec__rel @t9 @t38 @t35 @t121 @t8 (tptp.hAPP @t120 @t8))))) % 0.45/0.85 (define @t124 () (tptp.hAPP (tptp.hAPP @t121 @t120) @t122)) % 0.45/0.85 (define @t125 () (@var "V_a2_2" $$unsorted)) % 0.45/0.85 (define @t126 () (tptp.hAPP (tptp.hAPP @t121 @t125) @t122)) % 0.45/0.85 (define @t127 () (@list @t120)) % 0.45/0.85 (define @t128 () (@list @t125 @t122 @t121 @t35 @t38 @t9)) % 0.45/0.85 (define @t129 () (tptp.c_Order__Relation_Opreorder__on @t9 @t30 @t7)) % 0.45/0.85 (define @t130 () (tptp.c_Wellfounded_Oacc @t9 @t35)) % 0.45/0.85 (define @t131 () (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t8 @t37) @t35)) % 0.45/0.85 (define @t132 () (tptp.c_member @t9 @t37 @t109)) % 0.45/0.85 (define @t133 () (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t11 @t37) @t7)) % 0.45/0.85 (define @t134 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t7)) % 0.45/0.85 (define @t135 () (tptp.c_Product__Type_OPair @t9 @t9 @t23 @t21)) % 0.45/0.85 (define @t136 () (tptp.c_member @t10 @t135 @t134)) % 0.45/0.85 (define @t137 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t9 @t38 tptp.tc_HOL_Obool @t2 @t21 @t23))) % 0.45/0.85 (define @t138 () (tptp.hBOOL (tptp.hAPP @t2 @t63))) % 0.45/0.85 (define @t139 () (@var "V_z_2" $$unsorted)) % 0.45/0.85 (define @t140 () (tptp.c_Relation_Osingle__valued @t9 @t38 @t7)) % 0.45/0.85 (define @t141 () (forall @t16 (=> (tptp.c_member @t40 (tptp.c_Product__Type_OPair @t9 @t38 @t3 @t11) @t7) (forall @t13 (=> (tptp.c_member @t40 (tptp.c_Product__Type_OPair @t9 @t38 @t3 @t8) @t7) (= @t11 @t8)))))) % 0.45/0.85 (define @t142 () (@list @t7 @t38 @t9)) % 0.45/0.85 (define @t143 () (@var "V_p_2" $$unsorted)) % 0.45/0.85 (define @t144 () (tptp.c_member @t10 @t143 @t7)) % 0.45/0.85 (define @t145 () (@list @t7 @t143 @t9)) % 0.45/0.85 (define @t146 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t35)) % 0.45/0.85 (define @t147 () (tptp.c_member @t10 @t86 @t146)) % 0.45/0.85 (define @t148 () (tptp.c_Product__Type_OPair @t9 @t9 @t36 @t139)) % 0.45/0.85 (define @t149 () (tptp.c_Product__Type_OPair @t9 @t9 @t37 @t139)) % 0.45/0.85 (define @t150 () (tptp.c_member @t10 @t149 @t134)) % 0.45/0.85 (define @t151 () (tptp.c_member @t10 @t86 @t134)) % 0.45/0.85 (define @t152 () (tptp.c_member @t10 @t22 @t134)) % 0.45/0.85 (define @t153 () (tptp.c_member @t10 @t24 @t134)) % 0.45/0.85 (define @t154 () (=> @t153 @t152)) % 0.45/0.85 (define @t155 () (@list @t20 @t7 @t23 @t21 @t9)) % 0.45/0.85 (define @t156 () (tptp.c_member @t10 @t26 @t134)) % 0.45/0.85 (define @t157 () (@var "V_by_2" $$unsorted)) % 0.45/0.85 (define @t158 () (@var "V_bx_2" $$unsorted)) % 0.45/0.85 (define @t159 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t158) @t157))) % 0.45/0.85 (define @t160 () (@var "B_ba" $$unsorted)) % 0.45/0.85 (define @t161 () (@var "B_aa" $$unsorted)) % 0.45/0.85 (define @t162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t161) @t160))) % 0.45/0.85 (define @t163 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t55) @t54))) % 0.45/0.85 (define @t164 () (tptp.c_Product__Type_OPair @t9 @t38 @t161 @t160)) % 0.45/0.85 (define @t165 () (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t56 @t164) @t7)) % 0.45/0.85 (define @t166 () (tptp.c_Transitive__Closure_Ortrancl @t40 @t7)) % 0.45/0.85 (define @t167 () (@var "V_ay_2" $$unsorted)) % 0.45/0.85 (define @t168 () (@var "V_ax_2" $$unsorted)) % 0.45/0.85 (define @t169 () (tptp.c_Product__Type_OPair @t9 @t38 @t168 @t167)) % 0.45/0.85 (define @t170 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t168) @t167))) % 0.45/0.85 (define @t171 () (tptp.c_Product__Type_OPair @t9 @t38 @t158 @t157)) % 0.45/0.85 (define @t172 () (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t169 @t171) @t166)) % 0.45/0.85 (define @t173 () (@list @t41 @t7 @t157 @t158 @t167 @t168 @t38 @t9)) % 0.45/0.85 (define @t174 () (@var "V_zb_2" $$unsorted)) % 0.45/0.85 (define @t175 () (@var "V_za_2" $$unsorted)) % 0.45/0.85 (define @t176 () (tptp.c_Product__Type_OPair @t9 @t38 @t175 @t174)) % 0.45/0.85 (define @t177 () (@var "V_xb_2" $$unsorted)) % 0.45/0.85 (define @t178 () (@var "V_xa_2" $$unsorted)) % 0.45/0.85 (define @t179 () (tptp.c_Product__Type_OPair @t9 @t38 @t178 @t177)) % 0.45/0.85 (define @t180 () (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t11) @t134)) % 0.45/0.85 (define @t181 () (not @t74)) % 0.45/0.85 (define @t182 () (@list @t7 @t23 @t21 @t9)) % 0.45/0.85 (define @t183 () (tptp.c_Product__Type_OPair @t9 @t9 @t11 @t139)) % 0.45/0.85 (define @t184 () (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t37 @t11) @t7)) % 0.45/0.85 (define @t185 () (@list @t7 @t139 @t37 @t9)) % 0.45/0.85 (define @t186 () (tptp.hBOOL (tptp.hAPP @t41 @t21))) % 0.45/0.85 (define @t187 () (tptp.hBOOL (tptp.hAPP @t41 @t11))) % 0.45/0.85 (define @t188 () (tptp.hBOOL (tptp.hAPP @t41 @t8))) % 0.45/0.85 (define @t189 () (tptp.hBOOL (tptp.hAPP @t41 @t23))) % 0.45/0.85 (define @t190 () (@list @t41 @t7 @t23 @t21 @t9)) % 0.45/0.85 (define @t191 () (tptp.c_Transitive__Closure_Otrancl @t9 @t7)) % 0.45/0.85 (define @t192 () (tptp.c_member @t10 @t26 @t191)) % 0.45/0.85 (define @t193 () (tptp.c_Recdef_Ocut @t9 @t38 @t2 @t7 @t21)) % 0.45/0.85 (define @t194 () (tptp.c_Product__Type_OPair @t9 @t9 @t37 @t21)) % 0.45/0.85 (define @t195 () (tptp.c_member @t10 @t194 @t7)) % 0.45/0.85 (define @t196 () (tptp.c_member @t10 @t143 @t191)) % 0.45/0.85 (define @t197 () (tptp.c_Transitive__Closure_Otrancl @t9 @t35)) % 0.45/0.85 (define @t198 () (@list @t35 @t9)) % 0.45/0.85 (define @t199 () (tptp.c_Relation_ODomain @t9 @t9 @t7)) % 0.45/0.85 (define @t200 () (tptp.c_Relation_ORange @t9 @t9 @t7)) % 0.45/0.85 (define @t201 () (tptp.c_member @t10 @t22 @t191)) % 0.45/0.85 (define @t202 () (=> (tptp.c_member @t10 @t24 @t191) @t201)) % 0.45/0.85 (define @t203 () (=> @t25 @t201)) % 0.45/0.85 (define @t204 () (tptp.c_member @t10 @t86 @t197)) % 0.45/0.85 (define @t205 () (@list @t35 @t36 @t37 @t9)) % 0.45/0.85 (define @t206 () (=> @t153 @t201)) % 0.45/0.85 (define @t207 () (tptp.c_member @t10 @t149 @t191)) % 0.45/0.85 (define @t208 () (@var "B_f" $$unsorted)) % 0.45/0.85 (define @t209 () (@var "B_R" $$unsorted)) % 0.45/0.85 (define @t210 () (tptp.c_Product__Type_OPair @t9 @t9 @t8 @t36)) % 0.45/0.85 (define @t211 () (tptp.c_Product__Type_OPair @t9 @t9 @t37 @t8)) % 0.45/0.85 (define @t212 () (forall @t6 (not (tptp.c_member @t10 @t48 @t191)))) % 0.45/0.85 (define @t213 () (tptp.c_Wellfounded_Oacyclic @t9 @t7)) % 0.45/0.85 (define @t214 () (@var "B_c" $$unsorted)) % 0.45/0.85 (define @t215 () (tptp.c_Relation_OId @t9)) % 0.45/0.85 (define @t216 () (@list @t21 @t9)) % 0.45/0.85 (define @t217 () (@list @t9)) % 0.45/0.85 (define @t218 () (@list @t23 @t21 @t9)) % 0.45/0.85 (define @t219 () (not @t151)) % 0.45/0.85 (define @t220 () (tptp.c_Set_Oinsert @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t36 @t37) @t7)) % 0.45/0.85 (define @t221 () (@list @t7 @t37 @t36 @t9)) % 0.45/0.85 (define @t222 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t223 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t7 @t215)) % 0.45/0.85 (define @t224 () (tptp.c_member @t10 @t135 @t7)) % 0.45/0.85 (define @t225 () (tptp.c_Relation_Oantisym @t9 @t7)) % 0.45/0.85 (define @t226 () (@list @t23 @t21 @t7 @t9)) % 0.45/0.85 (define @t227 () (tptp.c_member @t9 @t21 (tptp.c_Set_Oinsert @t9 @t23 @t30))) % 0.45/0.85 (define @t228 () (@list @t30 @t23 @t21 @t9)) % 0.45/0.85 (define @t229 () (tptp.c_Set_Oinsert @t9 @t23 @t28)) % 0.45/0.85 (define @t230 () (tptp.c_member @t9 @t21 @t229)) % 0.45/0.85 (define @t231 () (tptp.c_member @t9 @t21 @t28)) % 0.45/0.85 (define @t232 () (@list @t23 @t28 @t21 @t9)) % 0.45/0.85 (define @t233 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t234 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t28)) % 0.45/0.85 (define @t235 () (tptp.c_member @t9 @t20 @t234)) % 0.45/0.85 (define @t236 () (@list @t28 @t30 @t20 @t9)) % 0.45/0.85 (define @t237 () (@list @t30 @t28 @t20 @t9)) % 0.45/0.85 (define @t238 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t28 @t30)) % 0.45/0.85 (define @t239 () (@list @t28 @t30 @t9)) % 0.45/0.85 (define @t240 () (tptp.c_Set_Oinsert @t9 @t37 @t30)) % 0.45/0.85 (define @t241 () (tptp.c_Set_Oinsert @t9 @t36 @t30)) % 0.45/0.85 (define @t242 () (tptp.c_Set_Oinsert @t9 @t21 @t28)) % 0.45/0.85 (define @t243 () (@list @t28 @t21 @t30 @t9)) % 0.45/0.85 (define @t244 () (@var "V_C_2" $$unsorted)) % 0.45/0.85 (define @t245 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t244)) % 0.45/0.85 (define @t246 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t28 @t244)) % 0.45/0.85 (define @t247 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t246)) % 0.45/0.85 (define @t248 () (@list @t244 @t28 @t30 @t9)) % 0.45/0.85 (define @t249 () (tptp.hBOOL (tptp.hAPP @t41 @t3))) % 0.45/0.85 (define @t250 () (tptp.c_member @t9 @t3 @t28)) % 0.45/0.85 (define @t251 () (tptp.c_member @t9 @t3 @t234)) % 0.45/0.85 (define @t252 () (@list @t41 @t28 @t30 @t9)) % 0.45/0.85 (define @t253 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t7 @t82)) % 0.45/0.85 (define @t254 () (tptp.c_Relation_ORange @t38 @t9 @t28)) % 0.45/0.85 (define @t255 () (tptp.c_Relation_ORange @t38 @t9 @t30)) % 0.45/0.85 (define @t256 () (tptp.tc_fun @t106 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t257 () (tptp.c_Relation_ODomain @t9 @t38 @t28)) % 0.45/0.85 (define @t258 () (tptp.c_Relation_ODomain @t9 @t38 @t30)) % 0.45/0.85 (define @t259 () (tptp.tc_fun @t40 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t260 () (@list @t28 @t30 @t38 @t9)) % 0.45/0.85 (define @t261 () (tptp.c_Product__Type_OPair @t38 @t9 @t21 @t23)) % 0.45/0.85 (define @t262 () (tptp.c_Set_Oinsert @t9 @t37 @t28)) % 0.45/0.85 (define @t263 () (not @t77)) % 0.45/0.85 (define @t264 () (not @t70)) % 0.45/0.85 (define @t265 () (@list @t28 @t30 @t37 @t9)) % 0.45/0.85 (define @t266 () (tptp.c_Set_Oinsert @t9 @t21 @t30)) % 0.45/0.85 (define @t267 () (@list @t30 @t21 @t9)) % 0.45/0.85 (define @t268 () (@var "V_S_2" $$unsorted)) % 0.45/0.85 (define @t269 () (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t35 @t268))) % 0.45/0.85 (define @t270 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t268)) % 0.45/0.85 (define @t271 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t146 @t270)) % 0.45/0.85 (define @t272 () (@list @t268 @t35 @t9)) % 0.45/0.85 (define @t273 () (= @t3 @t11)) % 0.45/0.85 (define @t274 () (tptp.c_Product__Type_OPair @t9 @t9 @t11 @t3)) % 0.45/0.85 (define @t275 () (tptp.c_member @t10 @t274 @t7)) % 0.45/0.85 (define @t276 () (forall @t16 (=> @t15 (=> @t275 @t273)))) % 0.45/0.85 (define @t277 () (tptp.hBOOL (tptp.hAPP @t234 @t37))) % 0.45/0.85 (define @t278 () (tptp.hAPP @t28 @t37)) % 0.45/0.85 (define @t279 () (tptp.hBOOL @t278)) % 0.45/0.85 (define @t280 () (@list @t37 @t28 @t30 @t9)) % 0.45/0.85 (define @t281 () (tptp.hAPP @t1 @t37)) % 0.45/0.85 (define @t282 () (tptp.tc_fun @t38 @t9)) % 0.45/0.85 (define @t283 () (tptp.class_Lattices_Olattice @t9)) % 0.45/0.85 (define @t284 () (tptp.c_Order__Relation_Opartial__order__on @t9 @t30 @t7)) % 0.45/0.85 (define @t285 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t41)) % 0.45/0.85 (define @t286 () (tptp.c_member @t10 @t26 @t285)) % 0.45/0.85 (define @t287 () (@var "V_Q_2" $$unsorted)) % 0.45/0.85 (define @t288 () (tptp.c_member @t10 @t26 (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t41 @t287)))) % 0.45/0.85 (define @t289 () (@list @t287 @t41 @t23 @t21 @t9)) % 0.45/0.85 (define @t290 () (tptp.c_Wellfounded_Owf @t9 @t7)) % 0.45/0.85 (define @t291 () (@var "V_rb_2" $$unsorted)) % 0.45/0.85 (define @t292 () (@var "V_ra_2" $$unsorted)) % 0.45/0.85 (define @t293 () (forall @t6 @t110)) % 0.45/0.85 (define @t294 () (@list @t36 @t37 @t9)) % 0.45/0.85 (define @t295 () (tptp.class_Lattices_Osemilattice__sup @t9)) % 0.45/0.85 (define @t296 () (@var "V_x" $$unsorted)) % 0.45/0.85 (define @t297 () (@list @t296 @t9)) % 0.45/0.85 (define @t298 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t67 @t65)) % 0.45/0.85 (define @t299 () (@list @t65 @t67 @t9)) % 0.45/0.85 (define @t300 () (@var "V_y" $$unsorted)) % 0.45/0.85 (define @t301 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t296 @t300)) % 0.45/0.85 (define @t302 () (= @t301 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t300 @t296))) % 0.45/0.85 (define @t303 () (@list @t300 @t296 @t9)) % 0.45/0.85 (define @t304 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t296 @t301) @t301)) % 0.45/0.85 (define @t305 () (@var "V_c" $$unsorted)) % 0.45/0.85 (define @t306 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t67 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t65 @t305))) % 0.45/0.85 (define @t307 () (@list @t305 @t67 @t65 @t9)) % 0.45/0.85 (define @t308 () (@var "V_z" $$unsorted)) % 0.45/0.85 (define @t309 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t300 @t308)) % 0.45/0.85 (define @t310 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t296 @t309)) % 0.45/0.85 (define @t311 () (= @t310 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t300 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t296 @t308)))) % 0.45/0.85 (define @t312 () (@list @t308 @t300 @t296 @t9)) % 0.45/0.85 (define @t313 () (@list @t305 @t65 @t67 @t9)) % 0.45/0.85 (define @t314 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t301 @t308) @t310)) % 0.45/0.85 (define @t315 () (tptp.c_Wellfounded_Omeasure @t9)) % 0.45/0.85 (define @t316 () (tptp.hAPP @t315 @t2)) % 0.45/0.85 (define @t317 () (tptp.c_Order__Relation_Olinear__order__on @t9 @t30 @t7)) % 0.45/0.85 (define @t318 () (@var "V_H_2" $$unsorted)) % 0.45/0.85 (define @t319 () (tptp.c_Recdef_Owfrec @t9 @t38 @t7 @t318)) % 0.45/0.85 (define @t320 () (@var "B_M" $$unsorted)) % 0.45/0.85 (define @t321 () (tptp.c_Recdef_Owfrec @t9 @t38 @t209 @t320)) % 0.45/0.85 (define @t322 () (@var "B_Q" $$unsorted)) % 0.45/0.85 (define @t323 () (tptp.c_member @t9 @t3 @t322)) % 0.45/0.85 (define @t324 () (tptp.c_Wellfounded_Owf @t9 @t35)) % 0.45/0.85 (define @t325 () (tptp.c_Groups_Ominus__class_Ominus @t222 @t7 @t215)) % 0.45/0.85 (define @t326 () (=> @t31 @t29)) % 0.45/0.85 (define @t327 () (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t28)) % 0.45/0.85 (define @t328 () (tptp.c_member @t9 @t20 @t327)) % 0.45/0.85 (define @t329 () (tptp.c_Groups_Ominus__class_Ominus @t233 @t28 @t30)) % 0.45/0.85 (define @t330 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t329)) % 0.45/0.85 (define @t331 () (@list @t30 @t28 @t9)) % 0.45/0.85 (define @t332 () (tptp.c_Groups_Ominus__class_Ominus @t233 @t240 @t28)) % 0.45/0.85 (define @t333 () (=> @t77 (= @t332 @t327))) % 0.45/0.85 (define @t334 () (@list @t30 @t28 @t37 @t9)) % 0.45/0.85 (define @t335 () (tptp.c_Relation_OField @t9 @t7)) % 0.45/0.85 (define @t336 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t96)) % 0.45/0.85 (define @t337 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t28 @t30)) % 0.45/0.85 (define @t338 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t28)) % 0.45/0.85 (define @t339 () (@list @t20 @t28 @t30 @t9)) % 0.45/0.85 (define @t340 () (@var "V_D_2" $$unsorted)) % 0.45/0.85 (define @t341 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t244)) % 0.45/0.85 (define @t342 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t28 @t244)) % 0.45/0.85 (define @t343 () (= @t234 @t28)) % 0.45/0.85 (define @t344 () (tptp.hAPP @t287 @t37)) % 0.45/0.85 (define @t345 () (tptp.hBOOL @t344)) % 0.45/0.85 (define @t346 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t41 @t287)) % 0.45/0.85 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t7 @t82)) % 0.45/0.85 (define @t348 () (@list @t82 @t7 @t38 @t9)) % 0.45/0.85 (define @t349 () (@list @t9 @t28 @t30)) % 0.45/0.85 (define @t350 () (tptp.c_Relation_OField @t9 @t82)) % 0.45/0.85 (define @t351 () (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t7 @t82)) % 0.45/0.85 (define @t352 () (@list @t82 @t7 @t9)) % 0.45/0.85 (define @t353 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 0.45/0.85 (define @t354 () (@list @t36 @t37)) % 0.45/0.85 (define @t355 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t65 @t296)) % 0.45/0.85 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t67 @t296)) % 0.45/0.85 (define @t357 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t298 @t296)) % 0.45/0.85 (define @t358 () (@var "V_d" $$unsorted)) % 0.45/0.85 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t67 @t305)) % 0.45/0.85 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t308 @t296)) % 0.45/0.85 (define @t361 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t300 @t296)) % 0.45/0.85 (define @t362 () (@list @t308 @t296 @t300 @t9)) % 0.45/0.85 (define @t363 () (@list @t296 @t300 @t9)) % 0.45/0.85 (define @t364 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t300)) % 0.45/0.85 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t298)) % 0.45/0.85 (define @t366 () (@list @t67 @t65 @t296 @t9)) % 0.45/0.85 (define @t367 () (@list @t65 @t67 @t296 @t9)) % 0.45/0.85 (define @t368 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t37 @t36)) % 0.45/0.85 (define @t369 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t37 @t36)) % 0.45/0.85 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t300 @t301)) % 0.45/0.85 (define @t371 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t301)) % 0.45/0.85 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t9 @t296 @t298)) % 0.45/0.85 (define @t373 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t82)) % 0.45/0.85 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t134 @t373)) % 0.45/0.85 (define @t375 () (@list @t143 @t7 @t9)) % 0.45/0.85 (define @t376 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t262)) % 0.45/0.85 (define @t377 () (tptp.class_Orderings_Opreorder @t9)) % 0.45/0.85 (define @t378 () (tptp.c_Wellfounded_Omlex__prod @t9 @t2 @t35)) % 0.45/0.85 (define @t379 () (tptp.c_member @t10 @t86 @t378)) % 0.45/0.85 (define @t380 () (@list @t35 @t9 @t36 @t37 @t2)) % 0.45/0.85 (define @t381 () (tptp.tc_fun @t9 @t38)) % 0.45/0.85 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t381 @t2 @t1)) % 0.45/0.85 (define @t383 () (tptp.class_Orderings_Oord @t38)) % 0.45/0.85 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t233 @t30 @t28)) % 0.45/0.85 (define @t385 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t296 @t300)) % 0.45/0.85 (define @t386 () (@list @t300 @t296)) % 0.45/0.85 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t233 @t30 @t244)) % 0.45/0.85 (define @t388 () (=> (tptp.c_Orderings_Oord__class_Oless @t233 @t28 @t244) @t387)) % 0.45/0.85 (define @t389 () (@list @t1 @t2 @t9 @t38)) % 0.45/0.85 (define @t390 () (tptp.class_Orderings_Olinorder @t9)) % 0.45/0.85 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t36 @t37)) % 0.45/0.85 (define @t392 () (tptp.class_Orderings_Oorder @t9)) % 0.45/0.85 (define @t393 () (= @t296 @t300)) % 0.45/0.85 (define @t394 () (= @t369 @t52)) % 0.45/0.85 (define @t395 () (@list @t37 @t36 @t9)) % 0.45/0.85 (define @t396 () (= @t67 @t65)) % 0.45/0.85 (define @t397 () (tptp.class_Orderings_Oord @t9)) % 0.45/0.85 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t305 @t67)) % 0.45/0.85 (define @t399 () (= @t65 @t305)) % 0.45/0.85 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t67 @t65)) % 0.45/0.85 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t65 @t67)) % 0.45/0.85 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t300 @t308)) % 0.45/0.85 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t308 @t300)) % 0.45/0.85 (define @t404 () (tptp.c_Orderings_Oord__class_Oless @t9 @t36 @t37)) % 0.45/0.85 (define @t405 () (tptp.c_Orderings_Oord__class_Oless @t9 @t37 @t36)) % 0.45/0.85 (define @t406 () (not @t405)) % 0.45/0.85 (define @t407 () (tptp.c_Orderings_Oord__class_Oless @t9 @t300 @t296)) % 0.45/0.85 (define @t408 () (tptp.c_Orderings_Oord__class_Oless @t9 @t296 @t300)) % 0.45/0.85 (define @t409 () (= @t406 @t52)) % 0.45/0.85 (define @t410 () (not @t408)) % 0.45/0.85 (define @t411 () (not @t393)) % 0.45/0.85 (define @t412 () (tptp.c_Orderings_Oord__class_Oless @t9 @t65 @t67)) % 0.45/0.85 (define @t413 () (tptp.c_Orderings_Oord__class_Oless @t9 @t67 @t65)) % 0.45/0.85 (define @t414 () (@list @t67 @t65 @t9)) % 0.45/0.85 (define @t415 () (tptp.c_Orderings_Oord__class_Oless @t9 @t67 @t305)) % 0.45/0.85 (define @t416 () (tptp.c_Orderings_Oord__class_Oless @t9 @t305 @t67)) % 0.45/0.85 (define @t417 () (tptp.c_Orderings_Oord__class_Oless @t9 @t296 @t308)) % 0.45/0.85 (define @t418 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t300 @t308) @t417)) % 0.45/0.85 (define @t419 () (tptp.c_Orderings_Oord__class_Oless @t9 @t308 @t296)) % 0.45/0.85 (define @t420 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t308 @t300) @t419)) % 0.45/0.85 (define @t421 () (not @t396)) % 0.45/0.85 (define @t422 () (@var "V_n_2" $$unsorted)) % 0.45/0.85 (define @t423 () (@var "V_m_2" $$unsorted)) % 0.45/0.85 (define @t424 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t423 @t422)) % 0.45/0.85 (define @t425 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 0.45/0.85 (define @t426 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t423 @t422)) % 0.45/0.85 (define @t427 () (@list @t422 @t423)) % 0.45/0.85 (define @t428 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t423 @t422)) % 0.45/0.85 (define @t429 () (@var "V_d_2" $$unsorted)) % 0.45/0.85 (define @t430 () (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t21 @t23) (tptp.c_Groups_Ominus__class_Ominus @t9 @t20 @t429))) % 0.45/0.85 (define @t431 () (tptp.class_Groups_Oordered__ab__group__add @t9)) % 0.45/0.85 (define @t432 () (@list @t429 @t20 @t23 @t21 @t9)) % 0.45/0.85 (define @t433 () (tptp.hBOOL (tptp.hAPP @t344 @t36))) % 0.45/0.85 (define @t434 () (tptp.hBOOL (tptp.hAPP @t46 @t36))) % 0.45/0.85 (define @t435 () (tptp.tc_fun @t38 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t436 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t9 @t435) @t41 @t287)) % 0.45/0.85 (define @t437 () (= @t423 @t422)) % 0.45/0.85 (define @t438 () (not @t437)) % 0.45/0.85 (define @t439 () (@var "V_n" $$unsorted)) % 0.45/0.85 (define @t440 () (@list @t439)) % 0.45/0.85 (define @t441 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t422 @t423)) % 0.45/0.85 (define @t442 () (@var "V_m" $$unsorted)) % 0.45/0.85 (define @t443 () (= @t442 @t439)) % 0.45/0.85 (define @t444 () (not @t443)) % 0.45/0.85 (define @t445 () (@var "V_t" $$unsorted)) % 0.45/0.85 (define @t446 () (@var "V_s" $$unsorted)) % 0.45/0.85 (define @t447 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t422) @t423))) % 0.45/0.85 (define @t448 () (@var "V_l" $$unsorted)) % 0.45/0.85 (define @t449 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t448 @t442)) % 0.45/0.85 (define @t450 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t448 @t439)) % 0.45/0.85 (define @t451 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t442 @t439)) % 0.45/0.85 (define @t452 () (@list @t448 @t439 @t442)) % 0.45/0.85 (define @t453 () (@var "V_k" $$unsorted)) % 0.45/0.85 (define @t454 () (@var "V_j" $$unsorted)) % 0.45/0.85 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t442)) % 0.45/0.85 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t442 @t439)) % 0.45/0.85 (define @t457 () (@list @t439 @t442)) % 0.45/0.85 (define @t458 () (@var "V_i" $$unsorted)) % 0.45/0.85 (define @t459 () (@list @t453 @t454 @t458)) % 0.45/0.85 (define @t460 () (@var "V_k_2" $$unsorted)) % 0.45/0.85 (define @t461 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t422 @t460)) % 0.45/0.85 (define @t462 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t423 @t460)) % 0.45/0.85 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t422)) % 0.45/0.85 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t423)) % 0.45/0.85 (define @t465 () (@list @t422 @t423 @t460)) % 0.45/0.85 (define @t466 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t442 @t439)) % 0.45/0.85 (define @t467 () (@var "V_t_2" $$unsorted)) % 0.45/0.85 (define @t468 () (tptp.c_Product__Type_OPair @t353 @t353 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t21 @t82) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t23 @t467))) % 0.45/0.85 (define @t469 () (tptp.tc_prod @t353 @t353)) % 0.45/0.85 (define @t470 () (tptp.c_member @t469 @t468 tptp.c_FunDef_Opair__less)) % 0.45/0.85 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t23)) % 0.45/0.85 (define @t472 () (@list @t467 @t82 @t23 @t21)) % 0.45/0.85 (define @t473 () (tptp.c_Orderings_Obot__class_Obot @t233)) % 0.45/0.85 (define @t474 () (tptp.c_Set_Oinsert @t9 @t23 @t473)) % 0.45/0.85 (define @t475 () (tptp.c_Set_Oinsert @t9 @t21 @t474)) % 0.45/0.85 (define @t476 () (tptp.c_Orderings_Obot__class_Obot @t222)) % 0.45/0.85 (define @t477 () (tptp.c_Set_Oinsert @t9 @t21 @t473)) % 0.45/0.85 (define @t478 () (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t477)) % 0.45/0.85 (define @t479 () (tptp.c_Set_Oinsert @t9 @t21 @t478)) % 0.45/0.85 (define @t480 () (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t242)) % 0.45/0.85 (define @t481 () (= @t30 @t473)) % 0.45/0.85 (define @t482 () (tptp.c_Orderings_Obot__class_Obot @t9)) % 0.45/0.85 (define @t483 () (tptp.class_Orderings_Obot @t9)) % 0.45/0.85 (define @t484 () (tptp.class_Lattices_Obounded__lattice__bot @t9)) % 0.45/0.85 (define @t485 () (tptp.c_Orderings_Obot__class_Obot @t259)) % 0.45/0.85 (define @t486 () (tptp.c_Orderings_Obot__class_Obot @t256)) % 0.45/0.85 (define @t487 () (tptp.c_Set_Oinsert @t9 @t37 @t473)) % 0.45/0.85 (define @t488 () (= @t23 @t21)) % 0.45/0.85 (define @t489 () (tptp.c_member @t9 @t23 @t477)) % 0.45/0.85 (define @t490 () (@list @t21 @t23 @t9)) % 0.45/0.85 (define @t491 () (=> @t264 @t338)) % 0.45/0.85 (define @t492 () (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t487)) % 0.45/0.85 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t492 @t28)) % 0.45/0.85 (define @t494 () (@list @t28 @t37 @t30 @t9)) % 0.45/0.85 (define @t495 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t23)) % 0.45/0.85 (define @t496 () (@var "V_Y_2" $$unsorted)) % 0.45/0.85 (define @t497 () (@var "V_X_2" $$unsorted)) % 0.45/0.85 (define @t498 () (tptp.tc_fun @t353 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t499 () (tptp.tc_prod @t498 @t498)) % 0.45/0.85 (define @t500 () (tptp.c_Product__Type_OPair @t353 @t353 @t37 @t36)) % 0.45/0.85 (define @t501 () (tptp.c_member @t469 @t500 tptp.c_FunDef_Opair__less)) % 0.45/0.85 (define @t502 () (@var "V_YS_2" $$unsorted)) % 0.45/0.85 (define @t503 () (@var "V_XS_2" $$unsorted)) % 0.45/0.85 (define @t504 () (tptp.c_Product__Type_OPair @t498 @t498 @t503 (tptp.c_Set_Oinsert @t353 @t36 @t502))) % 0.45/0.85 (define @t505 () (tptp.c_Product__Type_OPair @t498 @t498 @t503 @t502)) % 0.45/0.85 (define @t506 () (tptp.c_member @t353 @t37 @t503)) % 0.45/0.85 (define @t507 () (@list @t502 @t36 @t503 @t37)) % 0.45/0.85 (define @t508 () (tptp.c_Orderings_Obot__class_Obot @t498)) % 0.45/0.85 (define @t509 () (tptp.c_Product__Type_OPair @t498 @t498 @t497 @t508)) % 0.45/0.85 (define @t510 () (@list @t497)) % 0.45/0.85 (define @t511 () (tptp.c_member @t469 @t468 tptp.c_FunDef_Opair__leq)) % 0.45/0.85 (define @t512 () (tptp.c_member @t469 @t500 tptp.c_FunDef_Opair__leq)) % 0.45/0.85 (define @t513 () (tptp.tc_fun @t499 tptp.tc_HOL_Obool)) % 0.45/0.85 (define @t514 () (tptp.c_Set_Oinsert @t499 (tptp.c_Product__Type_OPair @t498 @t498 @t508 @t508) (tptp.c_Orderings_Obot__class_Obot @t513))) % 0.45/0.85 (define @t515 () (tptp.c_Wellfounded_Omax__ext @t9 @t35)) % 0.45/0.85 (define @t516 () (tptp.tc_prod @t233 @t233)) % 0.45/0.85 (define @t517 () (tptp.c_Relation_OImage @t9 @t9 @t7 @t474)) % 0.45/0.85 (define @t518 () (tptp.c_Relation_OImage @t9 @t9 @t7 @t477)) % 0.45/0.85 (define @t519 () (tptp.c_member @t9 @t23 @t335)) % 0.45/0.85 (define @t520 () (tptp.c_member @t9 @t21 @t335)) % 0.45/0.85 (define @t521 () (tptp.c_Order__Relation_Opreorder__on @t9 @t335 @t7)) % 0.45/0.85 (define @t522 () (tptp.c_member @t38 @t3 @t30)) % 0.45/0.85 (define @t523 () (tptp.c_member @t9 @t23 (tptp.c_Relation_OImage @t38 @t9 @t7 @t30))) % 0.45/0.85 (define @t524 () (@list @t30 @t7 @t38 @t23 @t9)) % 0.45/0.85 (define @t525 () (tptp.c_Relation_OImage @t9 @t38 @t7 @t30)) % 0.45/0.85 (define @t526 () (@var "V_A_H_2" $$unsorted)) % 0.45/0.85 (define @t527 () (@var "V_r_H_2" $$unsorted)) % 0.45/0.85 (define @t528 () (tptp.c_Orderings_Obot__class_Obot @t435)) % 0.45/0.85 (define @t529 () (tptp.c_Relation_OImage @t38 @t9 @t35 @t30)) % 0.45/0.85 (define @t530 () (=> @t520 (=> @t519 (= (= @t518 @t517) @t74)))) % 0.45/0.85 (define @t531 () (@var "V_a4_2" $$unsorted)) % 0.45/0.85 (define @t532 () (@var "V_a3_2" $$unsorted)) % 0.45/0.85 (define @t533 () (@var "V_a5_2" $$unsorted)) % 0.45/0.85 (define @t534 () (tptp.hAPP (tptp.hAPP @t532 @t122) @t533)) % 0.45/0.85 (define @t535 () (tptp.c_Equiv__Relations_Oequiv @t9 @t30 @t7)) % 0.45/0.85 (define @t536 () (@var "T_1" $$unsorted)) % 0.45/0.85 (define @t537 () (@var "T_2" $$unsorted)) % 0.45/0.85 (define @t538 () (tptp.tc_fun @t537 @t536)) % 0.45/0.85 (define @t539 () (tptp.class_Lattices_Obounded__lattice @t536)) % 0.45/0.85 (define @t540 () (@list @t537 @t536)) % 0.45/0.85 (define @t541 () (tptp.class_Lattices_Olattice @t536)) % 0.45/0.85 (define @t542 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t37) @t36))) % 0.45/0.85 (define @t543 () (tptp.c_member @t51 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t11 @t3) tptp.v_L)) % 0.45/0.85 (define @t544 () (tptp.c_member @t51 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t11) tptp.v_L)) % 0.45/0.85 (define @t545 () (or @t544 @t543)) % 0.45/0.85 (define @t546 () (not @t273)) % 0.45/0.85 (define @t547 () (forall @t16 (=> @t546 @t545))) % 0.45/0.85 (define @t548 () (forall @t6 (not (tptp.c_member @t51 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t3) tptp.v_L)))) % 0.45/0.85 (define @t549 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_L)) % 0.45/0.85 (define @t550 () (and @t549 @t548 @t547)) % 0.45/0.85 (define @t551 () (or @t543 @t544)) % 0.45/0.85 (define @t552 () (forall @t16 (=> @t546 @t551))) % 0.45/0.85 (define @t553 () (and @t549 @t548 @t552)) % 0.45/0.85 (define @t554 () (= @t553 @t550)) % 0.45/0.85 (define @t555 () (not @t554)) % 0.45/0.85 (define @t556 () (or @t273 @t544 @t543)) % 0.45/0.85 (define @t557 () (not @t546)) % 0.45/0.85 (define @t558 () (or @t273 @t543 @t544)) % 0.45/0.85 (define @t559 () (forall @t16 @t558)) % 0.45/0.85 (define @t560 () (and @t549 @t548 @t559)) % 0.45/0.85 (define @t561 () (not @t560)) % 0.45/0.85 (define @t562 () (forall @t16 @t556)) % 0.45/0.85 (define @t563 () (and @t549 @t548 @t562)) % 0.45/0.85 (define @t564 () (not @t563)) % 0.45/0.85 (define @t565 () (@list false)) % 0.45/0.85 (define @t566 () (@list @t563)) % 0.45/0.85 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.45/0.85 (assume @p2 (forall @t19 (= @t18 @t17))) % 0.45/0.85 (assume @p3 (forall (@list @t20 @t23 @t21 @t7 @t9) (=> @t18 (=> @t27 (=> @t25 (tptp.c_member @t10 @t22 @t7)))))) % 0.45/0.85 (assume @p4 (forall (@list @t20 @t9 @t28 @t30) (=> @t34 (=> (=> @t31 @t33) (not @t32))))) % 0.45/0.85 (assume @p5 (forall (@list @t36 @t37 @t35 @t38 @t9) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t9 @t38 @t35) @t37) @t36)) (tptp.c_member @t40 @t39 @t35)))) % 0.45/0.85 (assume @p6 (forall (@list @t9 @t35 @t36 @t43 @t38 @t37 @t41) (=> @t47 (=> (tptp.c_member @t45 (tptp.c_Product__Type_OPair @t38 @t38 @t43 @t36) (tptp.hAPP @t35 @t37)) (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 (tptp.c_Product__Type_OPair @t9 @t38 @t37 @t43) @t39) @t42))))) % 0.45/0.85 (assume @p7 (forall @t19 (= (tptp.c_Nitpick_Orefl_H @t9 @t7) (forall @t6 @t49)))) % 0.45/0.85 (assume @p8 (forall (@list @t36 @t37 @t50) (=> (tptp.c_member (tptp.tc_fun @t51 tptp.tc_HOL_Obool) @t50 tptp.c_Arrow__Order__Mirabelle_OLin) (=> @t53 (= (not (tptp.c_member @t51 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t37 @t36) @t50)) (tptp.c_member @t51 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t36 @t37) @t50)))))) % 0.45/0.85 (assume @p9 (forall (@list @t38 @t9 @t41) (= (forall (@list @t58) (tptp.hBOOL (tptp.hAPP @t41 @t58))) (forall @t57 (tptp.hBOOL (tptp.hAPP @t41 @t56)))))) % 0.45/0.85 (assume @p10 (forall (@list @t59 @t60 @t23 @t21 @t38 @t9) (= (= @t63 @t62) (and @t61 (= @t23 @t59))))) % 0.45/0.85 (assume @p11 (forall (@list @t64 @t66 @t65 @t67 @t38 @t9) (=> (= (tptp.c_Product__Type_OPair @t9 @t38 @t67 @t65) (tptp.c_Product__Type_OPair @t9 @t38 @t66 @t64)) (not (=> (= @t67 @t66) (not (= @t65 @t64))))))) % 0.45/0.85 (assume @p12 (forall @t71 (= @t70 @t69))) % 0.45/0.85 (assume @p13 (forall @t75 (=> @t74 (=> @t73 @t72)))) % 0.45/0.85 (assume @p14 (forall (@list @t30 @t9 @t36 @t37) (=> @t52 (= @t70 @t76)))) % 0.45/0.85 (assume @p15 (forall (@list @t37 @t9 @t28 @t30) (=> @t34 (= @t70 @t77)))) % 0.45/0.85 (assume @p16 (forall (@list @t23 @t21 @t78 @t9 @t79 @t38) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t38 @t79 @t9 @t78 @t80) (tptp.hAPP (tptp.hAPP @t78 @t21) @t23)))) % 0.45/0.85 (assume @p17 (forall @t19 (= @t81 (forall @t6 (not @t49))))) % 0.45/0.85 (assume @p18 (forall (@list @t82 @t7 @t59 @t60 @t23 @t21 @t38 @t9) (= (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t63 @t62) (tptp.c_Wellfounded_Olex__prod @t9 @t38 @t7 @t82)) (or (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t60) @t7) (and @t61 (tptp.c_member @t45 (tptp.c_Product__Type_OPair @t38 @t38 @t23 @t59) @t82)))))) % 0.45/0.85 (assume @p19 (forall (@list @t23 @t21 @t20 @t9 @t79 @t38) (= (tptp.c_Product__Type_Ointernal__split @t38 @t79 @t9 @t20 @t80) (tptp.hAPP (tptp.hAPP @t20 @t21) @t23)))) % 0.45/0.85 (assume @p20 (forall @t84 (=> @t83 (tptp.c_member @t38 @t23 (tptp.c_Relation_ORange @t9 @t38 @t7))))) % 0.45/0.85 (assume @p21 (forall @t87 (= (tptp.c_member @t10 @t86 @t85) (and @t52 @t70)))) % 0.45/0.85 (assume @p22 (forall @t75 (=> @t74 (=> @t72 (tptp.c_member @t10 @t26 @t85))))) % 0.45/0.85 (assume @p23 (forall @t84 (=> @t83 @t89))) % 0.45/0.85 (assume @p24 (forall @t19 (=> @t17 @t18))) % 0.45/0.85 (assume @p25 (forall @t95 (= @t94 (forall @t6 (=> @t93 (forall @t92 (=> (tptp.c_member @t9 @t90 @t30) (=> (not (= @t3 @t90)) (or (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t90) @t7) @t91))))))))) % 0.45/0.85 (assume @p26 (forall (@list @t2 @t7 @t38 @t36 @t37 @t9) (= (tptp.c_member @t10 @t86 (tptp.hAPP (tptp.c_Relation_Oinv__image @t38 @t9 @t7) @t2)) (tptp.c_member @t45 (tptp.c_Product__Type_OPair @t38 @t38 @t97 @t96) @t7)))) % 0.45/0.85 (assume @p27 (forall (@list @t98 @t38 @t99 @t9) (=> (tptp.c_Relation_Otrans @t9 @t99) (=> (tptp.c_Relation_Otrans @t38 @t98) (tptp.c_Relation_Otrans @t40 (tptp.c_Wellfounded_Olex__prod @t9 @t38 @t99 @t98)))))) % 0.45/0.85 (assume @p28 (forall @t100 (= (tptp.c_Relation_ORange @t9 @t9 @t85) @t30))) % 0.45/0.85 (assume @p29 (forall @t100 (= (tptp.c_Relation_ODomain @t9 @t9 @t85) @t30))) % 0.45/0.85 (assume @p30 (forall @t100 (tptp.c_Relation_Otrans @t9 @t85))) % 0.45/0.85 (assume @p31 (forall @t102 (=> @t18 (tptp.c_Relation_Otrans @t38 @t101)))) % 0.45/0.85 (assume @p32 (forall @t105 (= @t89 (exists @t104 @t103)))) % 0.45/0.85 (assume @p33 (forall @t105 (= (tptp.c_member @t9 @t21 @t107) (exists @t104 (tptp.c_member @t106 (tptp.c_Product__Type_OPair @t38 @t9 @t11 @t21) @t7))))) % 0.45/0.85 (assume @p34 (forall @t95 (= (tptp.c_Order__Relation_Ostrict__linear__order__on @t9 @t30 @t7) (and @t18 @t81 @t94)))) % 0.45/0.85 (assume @p35 (forall (@list @t30 @t20 @t9) (=> (tptp.c_member @t10 @t20 @t85) (not (forall @t6 (=> @t93 (not (= @t20 @t48)))))))) % 0.45/0.85 (assume @p36 (forall (@list @t7 @t38 @t23 @t9) (=> (tptp.c_member @t9 @t23 @t107) (not (forall @t6 (not @t108)))))) % 0.45/0.85 (assume @p37 (forall @t105 (=> @t89 (not (forall @t104 (not @t103)))))) % 0.45/0.85 (assume @p38 (forall @t112 (= @t111 (forall @t6 (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t21) @t7) @t110))))) % 0.45/0.85 (assume @p39 (forall (@list @t21 @t7 @t23 @t9) (=> @t113 (=> @t27 @t111)))) % 0.45/0.85 (assume @p40 (forall @t117 (=> @t116 (=> @t72 @t115)))) % 0.45/0.85 (assume @p41 (forall @t119 (=> @t116 (=> @t118 @t70)))) % 0.45/0.85 (assume @p42 (forall @t119 (=> @t116 (=> @t118 @t76)))) % 0.45/0.85 (assume @p43 (forall @t128 (= (tptp.c_Recdef_Owfrec__rel @t9 @t38 @t35 @t121 @t122 @t126) (exists @t127 (and (= @t126 @t124) @t123))))) % 0.45/0.85 (assume @p44 (forall @t100 (tptp.c_Relation_Orefl__on @t9 @t30 @t85))) % 0.45/0.85 (assume @p45 (forall @t95 (= @t129 (and @t116 @t18)))) % 0.45/0.85 (assume @p46 (forall (@list @t35 @t37 @t9) (=> (not (tptp.c_member @t9 @t37 @t130)) (not (forall @t13 (=> @t131 (tptp.c_member @t9 @t8 @t130))))))) % 0.45/0.85 (assume @p47 (forall (@list @t7 @t37 @t9) (=> (forall @t104 (=> @t133 (tptp.c_member @t9 @t11 @t109))) @t132))) % 0.45/0.85 (assume @p48 (forall (@list @t1 @t121 @t38 @t35 @t37 @t9) (=> (forall @t13 (=> @t131 (tptp.c_Recdef_Owfrec__rel @t9 @t38 @t35 @t121 @t8 (tptp.hAPP @t1 @t8)))) (tptp.c_Recdef_Owfrec__rel @t9 @t38 @t35 @t121 @t37 (tptp.hAPP (tptp.hAPP @t121 @t1) @t37))))) % 0.45/0.85 (assume @p49 (forall @t128 (= (tptp.c_Recdef_Owfrec__rel @t9 @t38 @t35 @t121 @t122 @t125) (exists @t127 (and (= @t125 @t124) @t123))))) % 0.45/0.85 (assume @p50 (forall (@list @t7 @t21 @t23 @t9) (=> @t136 (=> @t111 @t113)))) % 0.45/0.85 (assume @p51 (forall (@list @t23 @t7 @t21 @t9) (=> @t111 (=> @t136 @t113)))) % 0.45/0.85 (assume @p52 (forall (@list @t23 @t21 @t38 @t9 @t2) (=> @t138 @t137))) % 0.45/0.85 (assume @p53 (forall (@list @t139 @t36 @t37 @t7 @t38 @t9) (=> @t140 (=> (tptp.c_member @t40 @t39 @t7) (=> (tptp.c_member @t40 (tptp.c_Product__Type_OPair @t9 @t38 @t37 @t139) @t7) (= @t36 @t139)))))) % 0.45/0.85 (assume @p54 (forall @t142 (= @t140 @t141))) % 0.45/0.85 (assume @p55 (forall (@list @t23 @t21 @t2 @t38 @t9) (=> @t137 @t138))) % 0.45/0.85 (assume @p56 (forall @t100 (tptp.c_Relation_Osingle__valued @t9 @t9 @t85))) % 0.45/0.85 (assume @p57 (forall (@list @t23 @t21 @t2 @t9 @t79 @t38) (= (tptp.c_Product__Type_Ocurry @t38 @t79 @t9 @t2 @t21 @t23) (tptp.hAPP @t2 @t80)))) % 0.45/0.85 (assume @p58 (forall @t112 (tptp.c_member @t10 @t114 @t134))) % 0.45/0.85 (assume @p59 (forall @t145 (=> @t144 (tptp.c_member @t10 @t143 @t134)))) % 0.45/0.85 (assume @p60 (forall (@list @t36 @t35 @t37 @t9) (=> (not (tptp.c_member @t9 @t37 (tptp.c_Relation_ODomain @t9 @t9 @t35))) (= @t147 @t52)))) % 0.45/0.85 (assume @p61 (forall (@list @t139 @t36 @t37 @t7 @t9) (=> (tptp.c_Relation_Osingle__valued @t9 @t9 @t7) (=> @t151 (=> @t150 (or (tptp.c_member @t10 @t148 @t134) (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t139 @t36) @t134))))))) % 0.45/0.85 (assume @p62 (forall @t155 (=> @t27 @t154))) % 0.45/0.85 (assume @p63 (forall @t155 (=> @t156 (=> @t25 @t152)))) % 0.45/0.85 (assume @p64 (forall @t155 (=> @t156 @t154))) % 0.45/0.85 (assume @p65 (forall @t19 (tptp.c_Relation_Otrans @t9 @t134))) % 0.45/0.85 (assume @p66 (forall @t142 (=> @t141 @t140))) % 0.45/0.85 (assume @p67 (forall @t19 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t134) @t134))) % 0.45/0.85 (assume @p68 (forall @t173 (=> @t172 (=> @t170 (=> (forall @t57 (=> (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t169 @t56) @t166) (forall (@list @t161 @t160) (=> @t165 (=> @t163 @t162))))) @t159))))) % 0.45/0.85 (assume @p69 (forall @t173 (=> @t172 (=> @t159 (=> (forall (@list @t55 @t54 @t161 @t160) (=> @t165 (=> (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t164 @t171) @t166) (=> @t162 @t163)))) @t170))))) % 0.45/0.85 (assume @p70 (forall (@list @t7 @t174 @t175 @t177 @t178 @t38 @t9) (=> (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t179 @t176) @t166) (=> (not (= @t179 @t176)) (not (forall @t57 (=> (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t179 @t56) @t7) (not (tptp.c_member @t44 (tptp.c_Product__Type_OPair @t40 @t40 @t56 @t176) @t166))))))))) % 0.45/0.85 (assume @p71 (forall @t182 (=> @t156 (=> @t181 (not (forall @t104 (=> @t180 (not (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t11 @t23) @t7))))))))) % 0.45/0.85 (assume @p72 (forall @t185 (=> @t150 (=> (not (= @t37 @t139)) (not (forall @t104 (=> @t184 (not (tptp.c_member @t10 @t183 @t134))))))))) % 0.45/0.85 (assume @p73 (forall @t190 (=> @t156 (=> @t189 (=> (forall (@list @t11 @t8) (=> @t12 (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t8 @t23) @t134) (=> @t188 @t187)))) @t186))))) % 0.45/0.85 (assume @p74 (forall @t190 (=> @t156 (=> @t186 (=> (forall @t104 (=> @t180 (forall @t13 (=> @t12 (=> @t187 @t188))))) @t189))))) % 0.45/0.85 (assume @p75 (forall @t182 (=> @t192 @t156))) % 0.45/0.85 (assume @p76 (forall (@list @t2 @t38 @t7 @t21 @t37 @t9) (=> @t195 (= (tptp.hAPP @t193 @t37) @t97)))) % 0.45/0.85 (assume @p77 (forall @t182 (=> @t27 @t192))) % 0.45/0.85 (assume @p78 (forall @t145 (=> @t144 @t196))) % 0.45/0.85 (assume @p79 (forall @t198 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t197) @t146))) % 0.45/0.85 (assume @p80 (forall @t198 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t146) @t146))) % 0.45/0.85 (assume @p81 (forall @t19 (= (tptp.c_Relation_ODomain @t9 @t9 @t191) @t199))) % 0.45/0.85 (assume @p82 (forall @t19 (tptp.c_Relation_Otrans @t9 @t191))) % 0.45/0.85 (assume @p83 (forall @t19 (=> @t18 (= @t191 @t7)))) % 0.45/0.85 (assume @p84 (forall @t19 (= (tptp.c_Relation_ORange @t9 @t9 @t191) @t200))) % 0.45/0.85 (assume @p85 (forall (@list @t20 @t35 @t23 @t21 @t9) (=> (tptp.c_member @t10 @t26 @t35) (=> (tptp.c_member @t10 @t24 @t35) (tptp.c_member @t10 @t22 @t197))))) % 0.45/0.85 (assume @p86 (forall @t155 (=> @t27 @t202))) % 0.45/0.85 (assume @p87 (forall @t155 (=> @t192 @t203))) % 0.45/0.85 (assume @p88 (forall @t155 (=> @t192 @t202))) % 0.45/0.85 (assume @p89 (forall @t205 (= @t147 (or @t52 (and @t53 @t204))))) % 0.45/0.85 (assume @p90 (forall @t155 (=> @t27 @t206))) % 0.45/0.85 (assume @p91 (forall (@list @t35 @t23 @t21 @t9) (=> (tptp.c_member @t10 @t26 @t146) (or @t74 (and @t181 (tptp.c_member @t10 @t26 @t197)))))) % 0.45/0.85 (assume @p92 (forall @t155 (=> @t156 @t203))) % 0.45/0.85 (assume @p93 (forall @t155 (=> @t192 @t206))) % 0.45/0.85 (assume @p94 (forall (@list @t139 @t7 @t36 @t37 @t9) (=> @t151 (=> (tptp.c_member @t10 @t148 @t191) @t207)))) % 0.45/0.85 (assume @p95 (forall (@list @t38 @t21 @t37 @t9 @t208 @t209) (=> (tptp.c_member @t10 @t194 @t209) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t9 @t38 @t208 @t209 @t21) @t37) (tptp.hAPP @t208 @t37))))) % 0.45/0.85 (assume @p96 (forall (@list @t1 @t37 @t7 @t2 @t38 @t9) (= (= (tptp.c_Recdef_Ocut @t9 @t38 @t2 @t7 @t37) (tptp.c_Recdef_Ocut @t9 @t38 @t1 @t7 @t37)) (forall @t104 (=> @t133 (= (tptp.hAPP @t2 @t11) (tptp.hAPP @t1 @t11))))))) % 0.45/0.85 (assume @p97 (forall @t205 (=> @t204 (exists @t13 (and (tptp.c_member @t10 @t211 @t146) (tptp.c_member @t10 @t210 @t35)))))) % 0.45/0.85 (assume @p98 (forall @t205 (=> @t204 (exists @t13 (and (tptp.c_member @t10 @t211 @t35) (tptp.c_member @t10 @t210 @t146)))))) % 0.45/0.85 (assume @p99 (forall @t19 (= @t213 @t212))) % 0.45/0.85 (assume @p100 (forall (@list @t36 @t37 @t7 @t9) (=> @t212 (=> @t118 @t53)))) % 0.45/0.85 (assume @p101 (forall @t185 (=> @t207 (=> (not (tptp.c_member @t10 @t149 @t7)) (not (forall @t104 (=> @t184 (not (tptp.c_member @t10 @t183 @t191))))))))) % 0.45/0.85 (assume @p102 (forall @t182 (=> @t192 (=> (not @t27) (not (forall (@list @t214) (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t214) @t191) (not (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t214 @t23) @t7))))))))) % 0.45/0.85 (assume @p103 (forall (@list @t37 @t121 @t35 @t9 @t38) (= (tptp.c_Nitpick_Owf__wfrec_H @t38 @t9 @t35 @t121 @t37) (tptp.hAPP (tptp.hAPP @t121 (tptp.c_Recdef_Ocut @t38 @t9 (tptp.c_Nitpick_Owf__wfrec @t38 @t9 @t35 @t121) @t35 @t37)) @t37)))) % 0.45/0.85 (assume @p104 (forall @t216 (tptp.c_member @t10 @t114 @t215))) % 0.45/0.85 (assume @p105 (forall @t217 (tptp.c_Relation_Otrans @t9 @t215))) % 0.45/0.85 (assume @p106 (forall @t217 (tptp.c_Relation_Osingle__valued @t9 @t9 @t215))) % 0.45/0.85 (assume @p107 (forall @t218 (= (tptp.c_member @t10 @t26 @t215) @t74))) % 0.45/0.85 (assume @p108 (forall @t19 (=> @t212 @t213))) % 0.45/0.85 (assume @p109 (forall (@list @t143 @t9) (=> (tptp.c_member @t10 @t143 @t215) (not (forall @t6 (not (= @t143 @t48))))))) % 0.45/0.85 (assume @p110 (forall @t221 (= (tptp.c_Wellfounded_Oacyclic @t9 @t220) (and @t213 @t219)))) % 0.45/0.85 (assume @p111 (forall @t19 (=> @t213 (tptp.c_Relation_Oantisym @t9 @t134)))) % 0.45/0.85 (assume @p112 (forall @t19 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t223) @t134))) % 0.45/0.85 (assume @p113 (forall @t19 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t191 @t215) @t134))) % 0.45/0.85 (assume @p114 (forall @t226 (=> @t225 (=> @t27 (=> @t224 @t74))))) % 0.45/0.85 (assume @p115 (forall @t228 (=> @t227 (=> @t181 @t72)))) % 0.45/0.85 (assume @p116 (forall @t232 (=> (=> (not @t231) @t74) @t230))) % 0.45/0.85 (assume @p117 (forall @t236 (=> @t235 @t32))) % 0.45/0.85 (assume @p118 (forall @t237 (=> (=> @t33 @t31) @t235))) % 0.45/0.85 (assume @p119 (forall @t19 (= (tptp.c_Relation_Oantisym @t9 @t223) @t225))) % 0.45/0.85 (assume @p120 (forall @t100 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t30) @t30))) % 0.45/0.85 (assume @p121 (forall @t239 (= @t234 @t238))) % 0.45/0.85 (assume @p122 (forall @t71 (= (tptp.c_Set_Oinsert @t9 @t37 @t240) @t240))) % 0.45/0.85 (assume @p123 (forall @t239 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t234) @t234))) % 0.45/0.85 (assume @p124 (forall @t87 (= (tptp.c_Set_Oinsert @t9 @t37 @t241) (tptp.c_Set_Oinsert @t9 @t36 @t240)))) % 0.45/0.85 (assume @p125 (forall @t243 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t242) (tptp.c_Set_Oinsert @t9 @t21 @t234)))) % 0.45/0.85 (assume @p126 (forall @t248 (= @t247 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t28 @t245)))) % 0.45/0.85 (assume @p127 (forall (@list @t244 @t28 @t21 @t9) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t242 @t244) (tptp.c_Set_Oinsert @t9 @t21 @t246)))) % 0.45/0.85 (assume @p128 (forall @t248 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t234 @t244) @t247))) % 0.45/0.85 (assume @p129 (forall @t252 (= (exists @t6 (and @t251 @t249)) (or (exists @t6 (and @t93 @t249)) (exists @t6 (and @t250 @t249)))))) % 0.45/0.85 (assume @p130 (forall @t252 (= (forall @t6 (=> @t251 @t249)) (and (forall @t6 (=> @t93 @t249)) (forall @t6 (=> @t250 @t249)))))) % 0.45/0.85 (assume @p131 (forall (@list @t37 @t30 @t36 @t9) (= (tptp.hBOOL (tptp.hAPP @t241 @t37)) (or (= @t36 @t37) @t69)))) % 0.45/0.85 (assume @p132 (forall (@list @t82 @t28 @t7 @t30 @t9) (=> @t116 (=> (tptp.c_Relation_Orefl__on @t9 @t28 @t82) (tptp.c_Relation_Orefl__on @t9 @t234 @t253))))) % 0.45/0.85 (assume @p133 (forall (@list @t28 @t30 @t9 @t38) (= (tptp.c_Relation_ORange @t38 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t256 @t30 @t28)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t255 @t254)))) % 0.45/0.85 (assume @p134 (forall @t260 (= (tptp.c_Relation_ODomain @t9 @t38 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t259 @t30 @t28)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t258 @t257)))) % 0.45/0.85 (assume @p135 (forall @t84 (= (tptp.c_Relation_ODomain @t9 @t38 (tptp.c_Set_Oinsert @t40 @t63 @t7)) (tptp.c_Set_Oinsert @t9 @t21 @t88)))) % 0.45/0.85 (assume @p136 (forall (@list @t7 @t23 @t21 @t9 @t38) (= (tptp.c_Relation_ORange @t38 @t9 (tptp.c_Set_Oinsert @t106 @t261 @t7)) (tptp.c_Set_Oinsert @t9 @t23 @t107)))) % 0.45/0.85 (assume @p137 (forall @t236 (= @t235 (or @t31 @t29)))) % 0.45/0.85 (assume @p138 (forall @t236 (=> @t31 @t235))) % 0.45/0.85 (assume @p139 (forall @t237 (=> @t29 @t235))) % 0.45/0.85 (assume @p140 (forall (@list @t28 @t21 @t9) (tptp.c_member @t9 @t21 @t242))) % 0.45/0.85 (assume @p141 (forall @t228 (= @t227 (or @t74 @t72)))) % 0.45/0.85 (assume @p142 (forall @t265 (=> @t264 (=> @t263 (= (= @t240 @t262) @t34))))) % 0.45/0.85 (assume @p143 (forall @t232 (=> @t231 @t230))) % 0.45/0.85 (assume @p144 (forall @t267 (=> @t72 (= @t266 @t30)))) % 0.45/0.85 (assume @p145 (forall @t272 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t271) @t269))) % 0.45/0.85 (assume @p146 (forall @t217 (tptp.c_Relation_Oantisym @t9 @t215))) % 0.45/0.85 (assume @p147 (forall (@list @t268 @t35 @t37 @t9) (=> (or (tptp.c_member @t10 @t37 @t146) (tptp.c_member @t10 @t37 @t270)) (tptp.c_member @t10 @t37 @t269)))) % 0.45/0.85 (assume @p148 (forall @t100 (tptp.c_Relation_Oantisym @t9 @t85))) % 0.45/0.85 (assume @p149 (forall @t198 (= (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t35 @t215)) @t146))) % 0.45/0.85 (assume @p150 (forall @t198 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t146 @t215) @t146))) % 0.45/0.85 (assume @p151 (forall @t19 (=> @t18 (tptp.c_Relation_Otrans @t9 @t223)))) % 0.45/0.85 (assume @p152 (forall @t19 (= @t225 @t276))) % 0.45/0.85 (assume @p153 (forall (@list @t9 @t30 @t37 @t28) (=> (=> (not @t279) @t69) @t277))) % 0.45/0.85 (assume @p154 (forall @t280 (=> @t277 (=> (not @t69) @t279)))) % 0.45/0.85 (assume @p155 (forall (@list @t37 @t1 @t2 @t38 @t9) (=> @t283 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t282 @t2 @t1) @t37) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t97 @t281))))) % 0.45/0.85 (assume @p156 (forall @t95 (= @t284 (and @t129 @t225)))) % 0.45/0.85 (assume @p157 (forall @t289 (=> @t288 (=> (forall @t6 (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t23) @t285) (forall @t104 (=> (tptp.c_member @t10 @t274 @t287) (= @t11 @t3))))) @t286)))) % 0.45/0.85 (assume @p158 (forall @t289 (=> @t288 (=> (forall @t6 (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t3) @t285) (forall @t104 (=> (tptp.c_member @t10 @t14 @t287) @t273)))) @t286)))) % 0.45/0.85 (assume @p159 (forall @t221 (= (tptp.c_Wellfounded_Owf @t9 @t220) (and @t290 @t219)))) % 0.45/0.85 (assume @p160 (forall @t102 (=> @t290 (tptp.c_Wellfounded_Owf @t38 @t101)))) % 0.45/0.85 (assume @p161 (forall (@list @t291 @t38 @t292 @t9) (=> (tptp.c_Wellfounded_Owf @t9 @t292) (=> (tptp.c_Wellfounded_Owf @t38 @t291) (tptp.c_Wellfounded_Owf @t40 (tptp.c_Wellfounded_Olex__prod @t9 @t38 @t292 @t291)))))) % 0.45/0.85 (assume @p162 (forall @t19 (=> @t290 (tptp.c_Wellfounded_Owf @t9 @t191)))) % 0.45/0.85 (assume @p163 (forall @t19 (=> @t290 @t213))) % 0.45/0.85 (assume @p164 (forall (@list @t21 @t7 @t9) (=> @t290 (not @t115)))) % 0.45/0.85 (assume @p165 (forall (@list @t37 @t21 @t7 @t9) (=> @t290 (=> (tptp.c_member @t10 (tptp.c_Product__Type_OPair @t9 @t9 @t21 @t37) @t7) (not @t195))))) % 0.45/0.85 (assume @p166 (forall (@list @t37 @t7 @t9) (=> @t290 @t132))) % 0.45/0.85 (assume @p167 (forall @t19 (= @t290 @t293))) % 0.45/0.85 (assume @p168 (forall @t294 (= (tptp.c_member @t9 @t37 (tptp.c_fequal @t36)) @t52))) % 0.45/0.85 (assume @p169 (forall (@list @t67 @t9) (=> @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t67 @t67) @t67)))) % 0.45/0.85 (assume @p170 (forall @t297 (=> @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t296 @t296) @t296)))) % 0.45/0.85 (assume @p171 (forall @t299 (=> @t295 (= @t298 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t65 @t67))))) % 0.45/0.85 (assume @p172 (forall @t303 (=> @t283 @t302))) % 0.45/0.85 (assume @p173 (forall @t303 (=> @t295 @t302))) % 0.45/0.85 (assume @p174 (forall @t299 (=> @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t67 @t298) @t298)))) % 0.45/0.85 (assume @p175 (forall @t303 (=> @t283 @t304))) % 0.45/0.85 (assume @p176 (forall @t303 (=> @t295 @t304))) % 0.45/0.85 (assume @p177 (forall @t307 (=> @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t65 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t67 @t305)) @t306)))) % 0.45/0.85 (assume @p178 (forall @t312 (=> @t283 @t311))) % 0.45/0.85 (assume @p179 (forall @t312 (=> @t295 @t311))) % 0.45/0.85 (assume @p180 (forall @t313 (=> @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t298 @t305) @t306)))) % 0.45/0.85 (assume @p181 (forall @t312 (=> @t283 @t314))) % 0.45/0.85 (assume @p182 (forall @t312 (=> @t295 @t314))) % 0.45/0.85 (assume @p183 (forall (@list @t28 @t9 @t37 @t30) (=> @t69 @t277))) % 0.45/0.85 (assume @p184 (forall (@list @t30 @t9 @t37 @t28) (=> @t279 @t277))) % 0.45/0.85 (assume @p185 (forall (@list @t2 @t9) (tptp.c_Wellfounded_Owf @t9 @t316))) % 0.45/0.85 (assume @p186 (forall @t95 (= @t317 (and @t284 @t94)))) % 0.45/0.85 (assume @p187 (forall (@list @t21 @t318 @t7 @t38 @t9 @t2) (=> (= @t2 @t319) (=> @t290 (= (tptp.hAPP @t2 @t21) (tptp.hAPP (tptp.hAPP @t318 @t193) @t21)))))) % 0.45/0.85 (assume @p188 (forall (@list @t21 @t318 @t38 @t7 @t9) (=> @t290 (= (tptp.hAPP @t319 @t21) (tptp.hAPP (tptp.hAPP @t318 (tptp.c_Recdef_Ocut @t9 @t38 @t319 @t7 @t21)) @t21))))) % 0.45/0.85 (assume @p189 (forall (@list @t38 @t9 @t320 @t209) (=> (tptp.c_Wellfounded_Owf @t9 @t209) (forall @t6 (= (tptp.hAPP @t321 @t3) (tptp.hAPP (tptp.hAPP @t320 (tptp.c_Recdef_Ocut @t9 @t38 @t321 @t209 @t3)) @t3)))))) % 0.45/0.85 (assume @p190 (forall @t19 (= @t290 (forall (@list @t322) (=> (exists @t6 @t323) (exists @t6 (and @t323 (forall @t104 (=> @t275 (not (tptp.c_member @t9 @t11 @t322))))))))))) % 0.45/0.85 (assume @p191 (forall (@list @t9 @t35 @t38 @t41) (=> (forall @t6 (=> @t249 (tptp.c_Wellfounded_Owf @t38 (tptp.hAPP @t35 @t3)))) (tptp.c_Wellfounded_Owf @t40 @t42)))) % 0.45/0.85 (assume @p192 (forall @t198 (=> @t324 (tptp.c_Wellfounded_OwfP @t9 (tptp.c_FunDef_Oin__rel @t9 @t9 @t35))))) % 0.45/0.85 (assume @p193 (forall @t95 (=> @t317 (tptp.c_Order__Relation_Ostrict__linear__order__on @t9 @t30 @t325)))) % 0.45/0.85 (assume @p194 (forall @t19 (=> @t276 @t225))) % 0.45/0.85 (assume @p195 (forall @t19 (=> @t293 @t290))) % 0.45/0.85 (assume @p196 (forall @t236 (=> @t328 (not @t326)))) % 0.45/0.85 (assume @p197 (forall @t236 (=> @t31 (=> @t33 @t328)))) % 0.45/0.85 (assume @p198 (forall @t236 (= @t328 (and @t31 @t33)))) % 0.45/0.85 (assume @p199 (forall @t236 (=> @t328 @t31))) % 0.45/0.85 (assume @p200 (forall @t236 (=> @t328 @t33))) % 0.45/0.85 (assume @p201 (forall @t239 (= @t330 @t234))) % 0.45/0.85 (assume @p202 (forall @t331 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t329 @t30) @t238))) % 0.45/0.85 (assume @p203 (forall @t248 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t234 @t244) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t244) (tptp.c_Groups_Ominus__class_Ominus @t233 @t28 @t244))))) % 0.45/0.85 (assume @p204 (forall @t239 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t327 @t28) @t327))) % 0.45/0.85 (assume @p205 (forall (@list @t37 @t28 @t30 @t38 @t9) (=> (tptp.class_Groups_Ominus @t9) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t282 @t30 @t28) @t37) (tptp.c_Groups_Ominus__class_Ominus @t9 @t68 @t278))))) % 0.45/0.85 (assume @p206 (forall @t334 @t333)) % 0.45/0.85 (assume @p207 (forall @t334 (and @t333 (=> @t263 (= @t332 (tptp.c_Set_Oinsert @t9 @t37 @t327)))))) % 0.45/0.85 (assume @p208 (forall @t19 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t325) @t134))) % 0.45/0.85 (assume @p209 (forall @t95 (= (tptp.c_Relation_Ototal__on @t9 @t30 @t325) @t94))) % 0.45/0.85 (assume @p210 (forall @t19 (tptp.c_Relation_Oirrefl @t9 @t325))) % 0.45/0.85 (assume @p211 (forall @t19 (=> @t18 (=> @t225 (tptp.c_Relation_Otrans @t9 @t325))))) % 0.45/0.85 (assume @p212 (forall @t95 (= (tptp.c_Order__Relation_Owell__order__on @t9 @t30 @t7) (and @t317 (tptp.c_Wellfounded_Owf @t9 @t325))))) % 0.45/0.85 (assume @p213 (forall @t19 (= @t335 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t199 @t200)))) % 0.45/0.85 (assume @p214 (forall (@list @t2 @t36 @t37 @t9) (= (tptp.c_member @t10 @t86 @t316) @t336))) % 0.45/0.85 (assume @p215 (forall @t217 (= @t315 (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t9 tptp.c_Wellfounded_Oless__than)))) % 0.45/0.85 (assume @p216 (forall @t260 (tptp.c_Orderings_Oord__class_Oless__eq @t233 (tptp.c_Groups_Ominus__class_Ominus @t233 @t255 @t254) (tptp.c_Relation_ORange @t38 @t9 (tptp.c_Groups_Ominus__class_Ominus @t256 @t30 @t28))))) % 0.45/0.85 (assume @p217 (forall @t239 (=> @t338 (=> @t337 @t34)))) % 0.45/0.85 (assume @p218 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 0.45/0.85 (assume @p219 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 0.45/0.85 (assume @p220 (forall @t339 (=> @t338 @t326))) % 0.45/0.85 (assume @p221 (forall (@list @t340 @t28 @t244 @t30 @t9) (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t28 @t340) (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t234 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t244 @t340)))))) % 0.45/0.85 (assume @p222 (forall (@list @t28 @t244 @t30 @t9) (=> @t341 (=> @t342 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t234 @t244))))) % 0.45/0.85 (assume @p223 (forall @t331 (=> @t337 (= @t234 @t30)))) % 0.45/0.85 (assume @p224 (forall @t239 (=> @t338 @t343))) % 0.45/0.85 (assume @p225 (forall @t239 (= @t338 @t343))) % 0.45/0.85 (assume @p226 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t28 @t234))) % 0.45/0.85 (assume @p227 (forall @t239 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t234))) % 0.45/0.85 (assume @p228 (forall (@list @t287 @t9 @t37 @t41) (=> @t47 (=> @t346 @t345)))) % 0.45/0.85 (assume @p229 (forall (@list @t37 @t287 @t41 @t9) (=> @t346 (=> @t47 @t345)))) % 0.45/0.85 (assume @p230 (forall @t348 (=> @t347 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t88 (tptp.c_Relation_ODomain @t9 @t38 @t82))))) % 0.45/0.85 (assume @p231 (forall (@list @t98 @t99 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t99 @t98) (tptp.c_Orderings_Oord__class_Oless__eq @t233 (tptp.c_Wellfounded_Oacc @t9 @t98) (tptp.c_Wellfounded_Oacc @t9 @t99))))) % 0.45/0.85 (assume @p232 (forall @t100 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t30))) % 0.45/0.85 (assume @p233 (forall @t349 (= @t34 (and @t338 @t337)))) % 0.45/0.85 (assume @p234 (forall @t349 (=> @t34 @t338))) % 0.45/0.85 (assume @p235 (forall @t349 (=> @t34 @t337))) % 0.45/0.85 (assume @p236 (forall @t352 (=> @t351 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t335 @t350)))) % 0.45/0.85 (assume @p237 (forall @t248 (=> @t338 (=> @t342 @t341)))) % 0.45/0.85 (assume @p238 (forall @t349 (=> @t34 (not (=> @t338 (not @t337)))))) % 0.45/0.85 (assume @p239 (forall @t354 (= (tptp.c_member @t353 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t37 @t36) tptp.c_Wellfounded_Oless__than) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t36)))) % 0.45/0.85 (assume @p240 (forall (@list @t21 @t340 @t244 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t244 @t340) (tptp.c_Orderings_Oord__class_Oless__eq @t233 (tptp.c_Set_Oinsert @t9 @t21 @t244) (tptp.c_Set_Oinsert @t9 @t21 @t340))))) % 0.45/0.85 (assume @p241 (forall (@list @t23 @t28 @t30 @t9) (=> @t338 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t229)))) % 0.45/0.85 (assume @p242 (forall (@list @t21 @t28 @t9) (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t28 @t242))) % 0.45/0.85 (assume @p243 (forall (@list @t296 @t65 @t67 @t9) (=> @t295 (=> @t357 (not (=> @t356 (not @t355))))))) % 0.45/0.85 (assume @p244 (forall (@list @t358 @t65 @t305 @t67 @t9) (=> @t295 (=> @t359 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t65 @t358) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t298 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t305 @t358))))))) % 0.45/0.85 (assume @p245 (forall @t362 (=> @t295 (=> @t361 (=> @t360 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t309 @t296)))))) % 0.45/0.85 (assume @p246 (forall (@list @t65 @t296 @t67 @t9) (=> @t295 (=> @t356 (=> @t355 @t357))))) % 0.45/0.85 (assume @p247 (forall @t363 (=> @t295 (=> @t361 (= @t301 @t296))))) % 0.45/0.85 (assume @p248 (forall @t303 (=> @t295 (=> @t364 (= @t301 @t300))))) % 0.45/0.85 (assume @p249 (forall @t366 (=> @t295 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t65) @t365)))) % 0.45/0.85 (assume @p250 (forall @t367 (=> @t295 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t67) @t365)))) % 0.45/0.85 (assume @p251 (forall (@list @t139 @t36 @t37 @t9) (=> @t295 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t368 @t139) (and (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t37 @t139) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t36 @t139)))))) % 0.45/0.85 (assume @p252 (forall @t294 (=> @t295 (= @t369 (= @t368 @t36))))) % 0.45/0.85 (assume @p253 (forall @t363 (=> @t295 @t370))) % 0.45/0.85 (assume @p254 (forall @t363 (=> @t283 @t370))) % 0.45/0.85 (assume @p255 (forall @t303 (=> @t295 @t371))) % 0.45/0.85 (assume @p256 (forall @t303 (=> @t283 @t371))) % 0.45/0.85 (assume @p257 (forall @t366 (=> @t295 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t296 @t65) @t372)))) % 0.45/0.85 (assume @p258 (forall @t367 (=> @t295 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t296 @t67) @t372)))) % 0.45/0.85 (assume @p259 (forall @t280 (=> @t338 (=> @t70 @t77)))) % 0.45/0.85 (assume @p260 (forall @t265 (=> @t70 (=> @t338 @t77)))) % 0.45/0.85 (assume @p261 (forall @t239 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t327 @t30))) % 0.45/0.85 (assume @p262 (forall (@list @t28 @t340 @t244 @t30 @t9) (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t340 @t28) (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t327 (tptp.c_Groups_Ominus__class_Ominus @t233 @t244 @t340)))))) % 0.45/0.85 (assume @p263 (forall @t248 (=> @t338 (=> @t342 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t28 (tptp.c_Groups_Ominus__class_Ominus @t233 @t244 @t30)) @t30))))) % 0.45/0.85 (assume @p264 (forall @t352 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t7 @t373) @t374))) % 0.45/0.85 (assume @p265 (forall @t272 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t35 @t268) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t268 @t146) (= @t270 @t146))))) % 0.45/0.85 (assume @p266 (forall @t352 (=> @t351 @t374))) % 0.45/0.85 (assume @p267 (forall @t375 (=> @t290 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t143 @t7) (tptp.c_Wellfounded_Owf @t9 @t143))))) % 0.45/0.85 (assume @p268 (forall @t352 (=> @t351 (=> (tptp.c_Relation_Oantisym @t9 @t82) @t225)))) % 0.45/0.85 (assume @p269 (forall (@list @t7 @t82 @t9) (=> (tptp.c_Wellfounded_Oacyclic @t9 @t82) (=> @t351 @t213)))) % 0.45/0.85 (assume @p270 (forall @t348 (=> @t347 (=> (tptp.c_Relation_Osingle__valued @t9 @t38 @t82) @t140)))) % 0.45/0.85 (assume @p271 (forall @t265 (= (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t240 @t28) (and @t77 @t338)))) % 0.45/0.85 (assume @p272 (forall @t265 (=> @t264 (= @t376 @t338)))) % 0.45/0.85 (assume @p273 (forall @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t327 @t244) (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t246)))) % 0.45/0.85 (assume @p274 (forall @t239 (=> @t338 (= @t330 @t28)))) % 0.45/0.85 (assume @p275 (forall (@list @t82 @t7 @t143 @t9) (=> @t196 (=> @t351 (tptp.c_member @t10 @t143 (tptp.c_Transitive__Closure_Otrancl @t9 @t82)))))) % 0.45/0.85 (assume @p276 (forall @t272 (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t271 @t269))) % 0.45/0.85 (assume @p277 (forall @t352 (= (tptp.c_Relation_OField @t9 @t253) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t335 @t350)))) % 0.45/0.85 (assume @p278 (forall @t260 (tptp.c_Orderings_Oord__class_Oless__eq @t233 (tptp.c_Groups_Ominus__class_Ominus @t233 @t258 @t257) (tptp.c_Relation_ODomain @t9 @t38 (tptp.c_Groups_Ominus__class_Ominus @t259 @t30 @t28))))) % 0.45/0.85 (assume @p279 (forall @t297 (=> @t377 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t296)))) % 0.45/0.85 (assume @p280 (forall @t380 (=> @t336 @t379))) % 0.45/0.85 (assume @p281 (forall (@list @t37 @t1 @t2 @t9 @t38) (=> @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t38 @t97 @t281))))) % 0.45/0.85 (assume @p282 (forall @t239 (= @t384 (and @t338 (not @t34))))) % 0.45/0.85 (assume @p283 (forall @t239 (= @t338 (or @t384 @t34)))) % 0.45/0.85 (assume @p284 (forall @t239 (=> @t384 @t338))) % 0.45/0.85 (assume @p285 (forall @t386 (=> @t385 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t296 @t300)))) % 0.45/0.85 (assume @p286 (forall @t248 (=> @t384 (=> @t342 @t387)))) % 0.45/0.85 (assume @p287 (forall @t248 (=> @t338 @t388))) % 0.45/0.85 (assume @p288 (forall @t389 (=> @t383 (= (tptp.c_Orderings_Oord__class_Oless @t381 @t2 @t1) (and @t382 (not (tptp.c_Orderings_Oord__class_Oless__eq @t381 @t1 @t2))))))) % 0.45/0.85 (assume @p289 (forall @t339 (=> @t384 @t326))) % 0.45/0.85 (assume @p290 (forall @t375 (=> (tptp.c_Wellfounded_OwfP @t9 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t9 @t233) @t143 @t7) (tptp.c_Wellfounded_OwfP @t9 @t143))))) % 0.45/0.85 (assume @p291 (forall @t380 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t96) (=> (tptp.c_member @t10 @t86 @t35) @t379)))) % 0.45/0.85 (assume @p292 (forall @t303 (=> @t390 (or @t364 @t361)))) % 0.45/0.85 (assume @p293 (forall @t294 (=> @t392 (= @t52 (and @t369 @t391))))) % 0.45/0.85 (assume @p294 (forall @t303 (=> @t377 (=> @t393 @t364)))) % 0.45/0.85 (assume @p295 (forall @t395 (=> @t392 (=> @t391 @t394)))) % 0.45/0.85 (assume @p296 (forall @t313 (=> @t397 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t65 @t305) @t359))))) % 0.45/0.85 (assume @p297 (forall @t313 (=> @t392 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t305 @t65) @t398))))) % 0.45/0.85 (assume @p298 (forall @t313 (=> @t397 (=> @t400 (=> @t399 @t359))))) % 0.45/0.85 (assume @p299 (forall @t307 (=> @t392 (=> @t401 (=> @t399 @t398))))) % 0.45/0.85 (assume @p300 (forall @t303 (=> @t392 (=> @t364 (=> @t361 @t393))))) % 0.45/0.85 (assume @p301 (forall @t312 (=> @t377 (=> @t364 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t296 @t308)))))) % 0.45/0.85 (assume @p302 (forall @t363 (=> @t392 (=> @t361 (=> @t364 @t393))))) % 0.45/0.85 (assume @p303 (forall @t362 (=> @t392 (=> @t361 (=> @t403 @t360))))) % 0.45/0.85 (assume @p304 (forall @t303 (=> @t390 (=> (not @t364) @t361)))) % 0.45/0.85 (assume @p305 (forall @t297 (=> @t377 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t296 @t296))))) % 0.45/0.85 (assume @p306 (forall @t294 (=> @t390 (= @t53 (or @t405 @t404))))) % 0.45/0.85 (assume @p307 (forall @t294 (=> @t390 (= @t406 (or @t404 @t52))))) % 0.45/0.85 (assume @p308 (forall @t303 (=> @t390 (or @t408 @t393 @t407)))) % 0.45/0.85 (assume @p309 (forall @t395 (=> @t390 (=> (not @t404) @t409)))) % 0.45/0.85 (assume @p310 (forall @t303 (=> @t390 (=> @t411 (=> @t410 @t407))))) % 0.45/0.85 (assume @p311 (forall @t303 (=> @t392 (=> @t408 @t411)))) % 0.45/0.85 (assume @p312 (forall @t303 (=> @t377 (=> @t408 (not @t407))))) % 0.45/0.85 (assume @p313 (forall @t303 (=> @t392 (=> @t408 (not (= @t300 @t296)))))) % 0.45/0.85 (assume @p314 (forall @t299 (=> @t377 (=> @t413 (not @t412))))) % 0.45/0.85 (assume @p315 (forall @t414 (=> @t392 (=> @t412 (not @t413))))) % 0.45/0.85 (assume @p316 (forall @t313 (=> @t397 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t65 @t305) @t415))))) % 0.45/0.85 (assume @p317 (forall @t313 (=> @t392 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t305 @t65) @t416))))) % 0.45/0.85 (assume @p318 (forall @t313 (=> @t397 (=> @t413 (=> @t399 @t415))))) % 0.45/0.85 (assume @p319 (forall @t307 (=> @t392 (=> @t412 (=> @t399 @t416))))) % 0.45/0.85 (assume @p320 (forall @t312 (=> @t377 (=> @t408 @t418)))) % 0.45/0.85 (assume @p321 (forall @t362 (=> @t392 (=> @t407 @t420)))) % 0.45/0.85 (assume @p322 (forall @t303 (=> @t390 (=> @t410 (=> @t411 @t407))))) % 0.45/0.85 (assume @p323 (forall (@list @t2 @t35 @t9) (=> @t324 (tptp.c_Wellfounded_Owf @t9 @t378)))) % 0.45/0.85 (assume @p324 (forall @t294 (=> @t390 (= @t406 @t391)))) % 0.45/0.85 (assume @p325 (forall @t294 (=> @t390 (= (not @t369) @t404)))) % 0.45/0.85 (assume @p326 (forall @t303 (=> @t390 (or @t364 @t407)))) % 0.45/0.85 (assume @p327 (forall @t294 (=> @t392 (= @t405 (and @t369 @t53))))) % 0.45/0.85 (assume @p328 (forall @t294 (=> @t377 (= @t405 (and @t369 (not @t391)))))) % 0.45/0.85 (assume @p329 (forall @t294 (=> @t392 (= @t369 (or @t405 @t52))))) % 0.45/0.85 (assume @p330 (forall @t303 (=> @t390 (=> @t410 @t361)))) % 0.45/0.85 (assume @p331 (forall @t363 (=> @t390 (=> (not @t361) @t408)))) % 0.45/0.85 (assume @p332 (forall @t294 (=> @t390 (=> @t406 @t394)))) % 0.45/0.85 (assume @p333 (forall @t299 (=> @t392 (=> @t421 (=> @t400 @t413))))) % 0.45/0.85 (assume @p334 (forall @t299 (=> @t392 (=> @t421 (=> @t401 @t412))))) % 0.45/0.85 (assume @p335 (forall @t363 (=> @t390 (=> @t361 @t410)))) % 0.45/0.85 (assume @p336 (forall @t303 (=> @t377 (=> @t408 @t364)))) % 0.45/0.85 (assume @p337 (forall @t294 (=> @t390 (=> @t369 @t409)))) % 0.45/0.85 (assume @p338 (forall @t303 (=> @t392 (=> @t364 (or @t408 @t393))))) % 0.45/0.85 (assume @p339 (forall @t299 (=> @t392 (=> @t400 (=> @t421 @t413))))) % 0.45/0.85 (assume @p340 (forall @t414 (=> @t392 (=> @t401 (=> @t421 @t412))))) % 0.45/0.85 (assume @p341 (forall @t312 (=> @t377 (=> @t408 (=> @t402 @t417))))) % 0.45/0.85 (assume @p342 (forall @t362 (=> @t392 (=> @t407 (=> @t403 @t419))))) % 0.45/0.85 (assume @p343 (forall @t312 (=> @t377 (=> @t364 @t418)))) % 0.45/0.85 (assume @p344 (forall @t362 (=> @t392 (=> @t361 @t420)))) % 0.45/0.85 (assume @p345 (forall @t389 (=> @t383 (= @t382 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t38 @t5 @t4)))))) % 0.45/0.85 (assume @p346 (forall @t427 (= (tptp.c_member @t353 @t426 @t425) @t424))) % 0.45/0.85 (assume @p347 (forall @t427 (= (tptp.c_member @t353 @t426 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) @t428))) % 0.45/0.85 (assume @p348 (forall @t432 (=> @t431 (=> @t430 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t21 @t23) (tptp.c_Orderings_Oord__class_Oless @t9 @t20 @t429)))))) % 0.45/0.85 (assume @p349 (forall (@list @t36 @t37 @t287 @t41 @t38 @t9) (=> @t436 (=> @t434 @t433)))) % 0.45/0.85 (assume @p350 (forall (@list @t287 @t38 @t9 @t36 @t37 @t41) (=> @t434 (=> @t436 @t433)))) % 0.45/0.85 (assume @p351 (forall @t248 (=> @t384 @t388))) % 0.45/0.85 (assume @p352 (forall @t432 (=> (tptp.class_Groups_Oab__group__add @t9) (=> @t430 (= @t74 (= @t20 @t429)))))) % 0.45/0.85 (assume @p353 (= tptp.c_Wellfounded_Oless__than @t425)) % 0.45/0.85 (assume @p354 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 0.45/0.85 (assume @p355 (forall @t432 (=> @t431 (=> @t430 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t21 @t23) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t20 @t429)))))) % 0.45/0.85 (assume @p356 (forall @t427 (= @t424 (and @t428 @t438)))) % 0.45/0.85 (assume @p357 (forall @t427 (= @t428 (or @t424 @t437)))) % 0.45/0.85 (assume @p358 (forall @t440 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t439)))) % 0.45/0.85 (assume @p359 (forall @t427 (= @t438 (or @t424 @t441)))) % 0.45/0.85 (assume @p360 (forall @t386 (=> @t411 (=> (not @t385) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t300 @t296))))) % 0.45/0.85 (assume @p361 (forall (@list @t442 @t439) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t442) @t444))) % 0.45/0.85 (assume @p362 (forall (@list @t445 @t446) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t446 @t445) (not (= @t446 @t445))))) % 0.45/0.85 (assume @p363 (forall (@list @t41 @t422 @t423) (=> (=> @t424 @t447) (=> (=> @t437 @t447) (=> (=> @t441 @t447) @t447))))) % 0.45/0.85 (assume @p364 (forall @t452 (=> @t451 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t442 @t448) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t450 @t449))))) % 0.45/0.85 (assume @p365 (forall (@list @t439 @t453 @t454) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t454 @t453) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t454 @t439) @t453)))) % 0.45/0.85 (assume @p366 (forall @t440 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t439))) % 0.45/0.85 (assume @p367 (forall @t457 (or @t456 @t455))) % 0.45/0.85 (assume @p368 (forall @t457 (=> @t443 @t456))) % 0.45/0.85 (assume @p369 (forall @t459 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t454) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 @t453) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t453))))) % 0.45/0.85 (assume @p370 (forall @t457 (=> @t456 (=> @t455 @t443)))) % 0.45/0.85 (assume @p371 (forall @t465 (=> @t464 (=> @t463 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t462 @t461) @t428))))) % 0.45/0.85 (assume @p372 (forall (@list @t439 @t442 @t453) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t453 @t442) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t453 @t439) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t442 @t453) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t439 @t453)) @t466))))) % 0.45/0.85 (assume @p373 (forall @t465 (=> @t464 (=> @t463 (= (= @t462 @t461) @t437))))) % 0.45/0.85 (assume @p374 (forall (@list @t439 @t458) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t439) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t439 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t439 @t458)) @t458)))) % 0.45/0.85 (assume @p375 (forall @t452 (=> @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t442 @t448) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t439 @t448))))) % 0.45/0.85 (assume @p376 (forall @t452 (=> @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t450 @t449)))) % 0.45/0.85 (assume @p377 (forall @t457 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t466 @t442))) % 0.45/0.85 (assume @p378 (forall (@list @t305 @t65 @t67) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t305 @t67) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t67 @t305) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t305)))))) % 0.45/0.85 (assume @p379 (forall @t465 (=> @t464 (=> @t463 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t462 @t461) @t424))))) % 0.45/0.85 (assume @p380 (forall @t457 (=> (or @t451 @t443) @t456))) % 0.45/0.85 (assume @p381 (forall @t457 (=> @t456 (=> @t444 @t451)))) % 0.45/0.85 (assume @p382 (forall @t457 (=> @t451 @t456))) % 0.45/0.85 (assume @p383 (forall @t472 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 @t467) @t470)))) % 0.45/0.85 (assume @p384 (forall @t182 (= (tptp.c_Relation_OField @t9 (tptp.c_Set_Oinsert @t10 @t26 @t7)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t475 @t335)))) % 0.45/0.85 (assume @p385 (forall @t217 (tptp.c_Wellfounded_Owf @t9 @t476))) % 0.45/0.85 (assume @p386 (forall @t216 (not (tptp.c_member @t9 @t21 @t473)))) % 0.45/0.85 (assume @p387 (forall @t100 (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t473 @t30))) % 0.45/0.85 (assume @p388 (forall @t459 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t458 @t454) @t453) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t458 @t453) @t454)))) % 0.45/0.85 (assume @p389 (forall @t267 (= @t266 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t477 @t30)))) % 0.45/0.85 (assume @p390 (forall @t267 (= @t479 @t266))) % 0.45/0.85 (assume @p391 (forall @t243 (= @t480 (tptp.c_Groups_Ominus__class_Ominus @t233 @t478 @t28)))) % 0.45/0.85 (assume @p392 (forall @t243 (= @t480 (tptp.c_Groups_Ominus__class_Ominus @t233 @t327 @t477)))) % 0.45/0.85 (assume @p393 (tptp.c_Wellfounded_Owf @t353 tptp.c_FunDef_Opair__less)) % 0.45/0.85 (assume @p394 (forall @t100 (= (forall @t6 (not @t93)) @t481))) % 0.45/0.85 (assume @p395 (forall @t100 (= (exists @t6 @t93) (not @t481)))) % 0.45/0.85 (assume @p396 (forall (@list @t20 @t9) (not (tptp.c_member @t9 @t20 @t473)))) % 0.45/0.85 (assume @p397 (forall (@list @t21 @t9 @t30) (=> @t481 (not @t72)))) % 0.45/0.85 (assume @p398 (forall (@list @t37 @t38 @t9) (=> @t483 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t282) @t37) @t482)))) % 0.45/0.85 (assume @p399 (forall @t217 (tptp.c_Relation_Oantisym @t9 @t476))) % 0.45/0.85 (assume @p400 (forall @t19 (tptp.c_Relation_Ototal__on @t9 @t473 @t7))) % 0.45/0.85 (assume @p401 (forall @t294 (=> @t484 (= (= @t368 @t482) (and (= @t37 @t482) (= @t36 @t482)))))) % 0.45/0.85 (assume @p402 (forall @t297 (=> @t484 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t296 @t482) @t296)))) % 0.45/0.85 (assume @p403 (forall @t297 (=> @t484 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t482 @t296) @t296)))) % 0.45/0.85 (assume @p404 (forall @t217 (tptp.c_Order__Relation_Opartial__order__on @t9 @t473 @t476))) % 0.45/0.85 (assume @p405 (forall @t217 (= (tptp.c_Relation_OId__on @t9 @t473) @t476))) % 0.45/0.85 (assume @p406 (forall @t217 (tptp.c_Order__Relation_Opreorder__on @t9 @t473 @t476))) % 0.45/0.85 (assume @p407 (forall @t142 (= (= @t88 @t473) (= @t7 @t485)))) % 0.45/0.85 (assume @p408 (forall (@list @t38 @t9) (= (tptp.c_Relation_ODomain @t9 @t38 @t485) @t473))) % 0.45/0.85 (assume @p409 (forall (@list @t7 @t9 @t38) (= (= @t107 @t473) (= @t7 @t486)))) % 0.45/0.85 (assume @p410 (forall (@list @t9 @t38) (= (tptp.c_Relation_ORange @t38 @t9 @t486) @t473))) % 0.45/0.85 (assume @p411 (forall @t217 (tptp.c_Relation_Orefl__on @t9 @t473 @t476))) % 0.45/0.85 (assume @p412 (forall @t217 (tptp.c_Order__Relation_Olinear__order__on @t9 @t473 @t476))) % 0.45/0.85 (assume @p413 (forall @t100 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t30) @t473))) % 0.45/0.85 (assume @p414 (forall @t100 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t30 @t473) @t30))) % 0.45/0.85 (assume @p415 (forall @t100 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t473 @t30) @t473))) % 0.45/0.85 (assume @p416 (forall @t239 (= (= @t234 @t473) (and @t481 (= @t28 @t473))))) % 0.45/0.85 (assume @p417 (forall @t100 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t30 @t473) @t30))) % 0.45/0.85 (assume @p418 (forall (@list @t28 @t9) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t473 @t28) @t28))) % 0.45/0.85 (assume @p419 (forall @t218 (=> (= @t477 @t474) @t74))) % 0.45/0.85 (assume @p420 (forall @t432 (= (= @t475 (tptp.c_Set_Oinsert @t9 @t20 (tptp.c_Set_Oinsert @t9 @t429 @t473))) (or (and (= @t21 @t20) (= @t23 @t429)) (and (= @t21 @t429) (= @t23 @t20)))))) % 0.45/0.85 (assume @p421 (forall @t267 (not (= @t266 @t473)))) % 0.45/0.85 (assume @p422 (forall @t267 (not (= @t473 @t266)))) % 0.45/0.85 (assume @p423 (forall @t217 (= (tptp.c_Relation_OField @t9 @t476) @t473))) % 0.45/0.85 (assume @p424 (forall @t217 (tptp.c_Order__Relation_Owell__order__on @t9 @t473 @t476))) % 0.45/0.85 (assume @p425 (forall (@list @t37 @t30 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t487) (or @t481 (= @t30 @t487))))) % 0.45/0.85 (assume @p426 (forall @t490 (=> @t489 @t488))) % 0.45/0.85 (assume @p427 (forall @t490 (= @t489 @t488))) % 0.45/0.85 (assume @p428 (forall @t217 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t476) @t476))) % 0.45/0.85 (assume @p429 (forall @t297 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t482 @t296)))) % 0.45/0.85 (assume @p430 (forall (@list @t28 @t9 @t30) (=> (= @t30 @t476) (tptp.c_Orderings_Oord__class_Oless__eq @t222 @t30 @t28)))) % 0.45/0.85 (assume @p431 (forall @t100 (= (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t473) @t481))) % 0.45/0.85 (assume @p432 (forall @t100 (not (tptp.c_Orderings_Oord__class_Oless @t233 @t30 @t473)))) % 0.45/0.85 (assume @p433 (forall @t217 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t476) @t215))) % 0.45/0.85 (assume @p434 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 0.45/0.85 (assume @p435 (forall @t267 (=> @t72 (= @t479 @t30)))) % 0.45/0.85 (assume @p436 (forall @t71 (=> @t264 (= (tptp.c_Groups_Ominus__class_Ominus @t233 @t240 @t487) @t30)))) % 0.45/0.85 (assume @p437 (forall @t494 (= @t376 (and (=> @t70 @t493) @t491)))) % 0.45/0.85 (assume @p438 (forall @t494 (=> @t493 (=> @t70 @t376)))) % 0.45/0.85 (assume @p439 (forall @t472 (=> @t495 @t470))) % 0.45/0.85 (assume @p440 (forall @t494 (= (tptp.c_Orderings_Oord__class_Oless @t233 @t30 @t262) (and (=> @t77 @t384) (=> @t263 (and (=> @t70 (tptp.c_Orderings_Oord__class_Oless @t233 @t492 @t28)) @t491)))))) % 0.45/0.85 (assume @p441 (forall (@list @t497 @t37 @t496 @t36) (=> (tptp.c_member @t353 @t36 @t496) (=> @t501 (=> (tptp.c_member @t499 (tptp.c_Product__Type_OPair @t498 @t498 @t497 @t496) tptp.c_FunDef_Omax__strict) (tptp.c_member @t499 (tptp.c_Product__Type_OPair @t498 @t498 (tptp.c_Set_Oinsert @t353 @t37 @t497) @t496) tptp.c_FunDef_Omax__strict)))))) % 0.45/0.85 (assume @p442 (forall @t507 (=> @t506 (=> @t501 (=> (tptp.c_member @t499 @t505 tptp.c_FunDef_Omin__strict) (tptp.c_member @t499 @t504 tptp.c_FunDef_Omin__strict)))))) % 0.45/0.85 (assume @p443 (forall @t510 (=> (not (= @t497 @t508)) (tptp.c_member @t499 @t509 tptp.c_FunDef_Omin__strict)))) % 0.45/0.85 (assume @p444 (forall @t472 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t467) @t511)))) % 0.45/0.85 (assume @p445 (forall @t472 (=> @t495 @t511))) % 0.45/0.85 (assume @p446 (= tptp.c_FunDef_Opair__leq (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t469 tptp.tc_HOL_Obool) tptp.c_FunDef_Opair__less (tptp.c_Relation_OId @t353)))) % 0.45/0.85 (assume @p447 (forall (@list @t503 @t37 @t502 @t36) (=> (tptp.c_member @t353 @t36 @t502) (=> @t512 (=> (tptp.c_member @t499 @t505 tptp.c_FunDef_Omax__weak) (tptp.c_member @t499 (tptp.c_Product__Type_OPair @t498 @t498 (tptp.c_Set_Oinsert @t353 @t37 @t503) @t502) tptp.c_FunDef_Omax__weak)))))) % 0.45/0.85 (assume @p448 (forall @t507 (=> @t506 (=> @t512 (=> (tptp.c_member @t499 @t505 tptp.c_FunDef_Omin__weak) (tptp.c_member @t499 @t504 tptp.c_FunDef_Omin__weak)))))) % 0.45/0.85 (assume @p449 (forall @t510 (tptp.c_member @t499 @t509 tptp.c_FunDef_Omin__weak))) % 0.45/0.85 (assume @p450 (= tptp.c_FunDef_Omin__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t513 (tptp.c_Wellfounded_Omin__ext @t353 tptp.c_FunDef_Opair__leq) @t514))) % 0.45/0.85 (assume @p451 (= tptp.c_FunDef_Omax__weak (tptp.c_Lattices_Osemilattice__sup__class_Osup @t513 (tptp.c_Wellfounded_Omax__ext @t353 tptp.c_FunDef_Opair__leq) @t514))) % 0.45/0.85 (assume @p452 (forall @t19 (=> @t290 (tptp.c_Wellfounded_Owf @t233 (tptp.c_Wellfounded_Omax__ext @t9 @t7))))) % 0.45/0.85 (assume @p453 (forall @t19 (=> @t290 (tptp.c_Wellfounded_Owf @t233 (tptp.c_Wellfounded_Omin__ext @t9 @t7))))) % 0.45/0.85 (assume @p454 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t353 tptp.c_FunDef_Opair__less))) % 0.45/0.85 (assume @p455 (forall (@list @t340 @t244 @t35 @t28 @t30 @t9) (=> (tptp.c_member @t516 (tptp.c_Product__Type_OPair @t233 @t233 @t30 @t28) @t515) (=> (tptp.c_member @t516 (tptp.c_Product__Type_OPair @t233 @t233 @t244 @t340) @t515) (tptp.c_member @t516 (tptp.c_Product__Type_OPair @t233 @t233 @t245 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t28 @t340)) @t515))))) % 0.45/0.85 (assume @p456 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t353 tptp.c_FunDef_Opair__less))) % 0.45/0.85 (assume @p457 (forall (@list @t37 @t9) (= (tptp.c_Set_Othe__elem @t9 @t487) @t37))) % 0.45/0.85 (assume @p458 (forall (@list @t36 @t139 @t2 @t38 @t30 @t37 @t9) (=> @t70 (=> (tptp.c_Nitpick_Ofold__graph_H @t9 @t38 @t2 @t139 @t492 @t36) (tptp.c_Nitpick_Ofold__graph_H @t9 @t38 @t2 @t139 @t30 (tptp.hAPP @t97 @t36)))))) % 0.45/0.85 (assume @p459 (forall (@list @t139 @t2 @t38 @t9) (tptp.c_Nitpick_Ofold__graph_H @t9 @t38 @t2 @t139 @t473 @t139))) % 0.45/0.85 (assume @p460 (forall (@list @t125 @t122 @t38 @t9) (tptp.c_Nitpick_Ofold__graph_H @t9 @t38 @t122 @t125 @t473 @t125))) % 0.45/0.85 (assume @p461 (forall @t226 (=> @t521 (=> @t520 (=> @t519 (= (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t518 @t517) @t224)))))) % 0.45/0.85 (assume @p462 (tptp.c_FunDef_Oreduction__pair @t498 (tptp.c_Product__Type_OPair @t513 @t513 tptp.c_FunDef_Omax__strict tptp.c_FunDef_Omax__weak))) % 0.45/0.85 (assume @p463 (forall (@list @t30 @t35 @t9) (=> @t324 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 (tptp.c_Relation_OImage @t9 @t9 @t35 @t30)) @t481)))) % 0.45/0.85 (assume @p464 (forall @t524 (= @t523 (exists @t6 (and @t522 @t108))))) % 0.45/0.85 (assume @p465 (forall (@list @t7 @t23 @t38 @t30 @t21 @t9) (=> @t72 (=> @t83 (tptp.c_member @t38 @t23 @t525))))) % 0.45/0.85 (assume @p466 (forall @t100 (= (tptp.c_Relation_OImage @t9 @t9 @t215 @t30) @t30))) % 0.45/0.85 (assume @p467 (forall (@list @t30 @t526 @t7 @t527 @t38 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t527 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t526 @t30) (tptp.c_Orderings_Oord__class_Oless__eq @t435 (tptp.c_Relation_OImage @t9 @t38 @t527 @t526) @t525))))) % 0.45/0.85 (assume @p468 (forall (@list @t497 @t7 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 (tptp.c_Relation_OImage @t9 @t9 @t7 @t497) @t497) (= (tptp.c_Relation_OImage @t9 @t9 @t134 @t497) @t497)))) % 0.45/0.85 (assume @p469 (forall (@list @t35 @t9 @t38) (= (tptp.c_Relation_OImage @t38 @t9 @t35 @t528) @t473))) % 0.45/0.85 (assume @p470 (forall (@list @t28 @t30 @t35 @t9 @t38) (= (tptp.c_Relation_OImage @t38 @t9 @t35 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t435 @t30 @t28)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t529 (tptp.c_Relation_OImage @t38 @t9 @t35 @t28))))) % 0.45/0.85 (assume @p471 (forall (@list @t30 @t268 @t35 @t9 @t38) (= (tptp.c_Relation_OImage @t38 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t256 @t35 @t268) @t30) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t233 @t529 (tptp.c_Relation_OImage @t38 @t9 @t268 @t30))))) % 0.45/0.85 (assume @p472 (forall (@list @t21 @t7 @t38 @t23 @t9) (= (tptp.c_member @t9 @t23 (tptp.c_Relation_OImage @t38 @t9 @t7 (tptp.c_Set_Oinsert @t38 @t21 @t528))) (tptp.c_member @t106 @t261 @t7)))) % 0.45/0.85 (assume @p473 (forall @t226 (=> (tptp.c_Order__Relation_Opartial__order__on @t9 @t335 @t7) @t530))) % 0.45/0.85 (assume @p474 (forall @t226 (=> (tptp.c_Relation_Orefl__on @t9 @t335 @t7) (=> @t225 @t530)))) % 0.45/0.85 (assume @p475 (tptp.c_FunDef_Oreduction__pair @t498 (tptp.c_Product__Type_OPair @t513 @t513 tptp.c_FunDef_Omin__strict tptp.c_FunDef_Omin__weak))) % 0.45/0.85 (assume @p476 (forall (@list @t28 @t30 @t7 @t9) (=> @t521 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t30 @t335) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t28 @t335) (= (tptp.c_Orderings_Oord__class_Oless__eq @t233 (tptp.c_Relation_OImage @t9 @t9 @t7 @t30) (tptp.c_Relation_OImage @t9 @t9 @t7 @t28)) (forall @t6 (=> @t93 (exists @t92 (and (tptp.c_member @t9 @t90 @t28) @t91)))))))))) % 0.45/0.85 (assume @p477 (forall (@list @t533 @t122 @t125 @t531 @t532 @t38 @t9) (= (tptp.c_Nitpick_Ofold__graph_H @t9 @t38 @t532 @t531 @t125 @t534) (or (and (= @t125 @t473) (= @t534 @t531)) (exists @t16 (and (= @t534 (tptp.hAPP (tptp.hAPP @t532 @t3) @t11)) (tptp.c_member @t9 @t3 @t125) (tptp.c_Nitpick_Ofold__graph_H @t9 @t38 @t532 @t531 (tptp.c_Groups_Ominus__class_Ominus @t233 @t125 (tptp.c_Set_Oinsert @t9 @t3 @t473)) @t11))))))) % 0.45/0.85 (assume @p478 (forall (@list @t2 @t38 @t41 @t9) (=> (tptp.c_FunDef_Oreduction__pair @t9 @t41) (tptp.c_FunDef_Oreduction__pair @t38 (tptp.c_FunDef_Orp__inv__image @t9 @t38 @t41 @t2))))) % 0.45/0.85 (assume @p479 (forall @t524 (=> @t523 (not (forall @t6 (=> @t108 (not @t522))))))) % 0.45/0.85 (assume @p480 (forall @t272 (=> @t324 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t222 (tptp.c_Relation_Orel__comp @t9 @t9 @t9 @t35 @t268) @t35) (tptp.c_FunDef_Oreduction__pair @t9 (tptp.c_Product__Type_OPair @t222 @t222 @t35 @t268)))))) % 0.45/0.85 (assume @p481 (forall (@list @t21 @t23 @t7 @t30 @t9) (=> @t535 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t233 @t517 @t518) (=> @t73 @t27))))) % 0.45/0.85 (assume @p482 (forall (@list @t82 @t20 @t79 @t7 @t23 @t21 @t38 @t9) (=> @t83 (=> (tptp.c_member (tptp.tc_prod @t38 @t79) (tptp.c_Product__Type_OPair @t38 @t79 @t23 @t20) @t82) (tptp.c_member (tptp.tc_prod @t9 @t79) (tptp.c_Product__Type_OPair @t9 @t79 @t21 @t20) (tptp.c_Relation_Orel__comp @t9 @t38 @t79 @t7 @t82)))))) % 0.45/0.85 (assume @p483 (forall @t19 (= @t134 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t215 (tptp.c_Relation_Orel__comp @t9 @t9 @t9 @t134 @t7))))) % 0.45/0.85 (assume @p484 (forall @t117 (=> @t535 (=> @t72 (tptp.c_member @t9 @t21 @t518))))) % 0.45/0.85 (assume @p485 (forall @t248 (=> (= (tptp.c_Relation_Orel__comp @t9 @t9 @t9 @t30 @t28) @t476) (=> (= (tptp.c_Relation_Orel__comp @t9 @t9 @t9 @t30 @t244) @t476) (= (tptp.c_Relation_Orel__comp @t9 @t9 @t9 @t30 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t222 @t28 @t244)) @t476))))) % 0.45/0.85 (assume @p486 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p487 (forall @t540 (=> @t539 (tptp.class_Lattices_Obounded__lattice @t538)))) % 0.45/0.85 (assume @p488 (forall @t540 (=> @t539 (tptp.class_Lattices_Obounded__lattice__bot @t538)))) % 0.45/0.85 (assume @p489 (forall @t540 (=> @t541 (tptp.class_Lattices_Osemilattice__sup @t538)))) % 0.45/0.85 (assume @p490 (forall @t540 (=> (tptp.class_Orderings_Opreorder @t536) (tptp.class_Orderings_Opreorder @t538)))) % 0.45/0.85 (assume @p491 (forall @t540 (=> @t541 (tptp.class_Lattices_Olattice @t538)))) % 0.45/0.85 (assume @p492 (forall @t540 (=> (tptp.class_Orderings_Oorder @t536) (tptp.class_Orderings_Oorder @t538)))) % 0.45/0.85 (assume @p493 (forall @t540 (=> (tptp.class_Orderings_Oord @t536) (tptp.class_Orderings_Oord @t538)))) % 0.45/0.85 (assume @p494 (forall @t540 (=> (tptp.class_Orderings_Obot @t536) (tptp.class_Orderings_Obot @t538)))) % 0.45/0.85 (assume @p495 (forall @t540 (=> (tptp.class_Groups_Ominus @t536) (tptp.class_Groups_Ominus @t538)))) % 0.45/0.85 (assume @p496 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p497 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p498 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p499 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p500 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p501 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p502 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p503 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 0.45/0.85 (assume @p504 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p505 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p506 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p507 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p508 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p509 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p510 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p511 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.45/0.85 (assume @p512 (forall @t354 (or (not @t542) @t52))) % 0.45/0.85 (assume @p513 (forall @t354 (or @t53 @t542))) % 0.45/0.85 (assume @p514 @t555) % 0.45/0.85 (assume @p515 true) % 0.45/0.85 (step @p516 :rule aci_norm :args ((= (or @t273 @t545) @t556))) % 0.45/0.85 (step @p517 :rule refl :args (@t545)) % 0.45/0.85 (step @p518 :rule bool-double-not-elim :args (@t273)) % 0.45/0.85 (step @p519 :rule nary_cong :premises (@p518 @p517) :args ((or @t557 @t545))) % 0.45/0.85 (step @p520 :rule bool-impl-elim :args (@t546 @t545)) % 0.45/0.85 (step @p521 :rule trans :premises (@p520 @p519)) % 0.45/0.85 (step @p522 :rule trans :premises (@p521 @p516)) % 0.45/0.85 (step @p523 :rule cong :premises (@p522) :args (@t547)) % 0.45/0.85 (step @p524 :rule refl :args (@t548)) % 0.45/0.85 (step @p525 :rule refl :args (@t549)) % 0.45/0.85 (step @p526 :rule nary_cong :premises (@p525 @p524 @p523) :args (@t550)) % 0.45/0.85 (step @p527 :rule aci_norm :args ((= (or @t273 @t551) @t558))) % 0.45/0.85 (step @p528 :rule refl :args (@t551)) % 0.45/0.85 (step @p529 :rule nary_cong :premises (@p518 @p528) :args ((or @t557 @t551))) % 0.45/0.85 (step @p530 :rule bool-impl-elim :args (@t546 @t551)) % 0.45/0.85 (step @p531 :rule trans :premises (@p530 @p529)) % 0.45/0.85 (step @p532 :rule trans :premises (@p531 @p527)) % 0.45/0.85 (step @p533 :rule cong :premises (@p532) :args (@t552)) % 0.45/0.85 (step @p534 :rule nary_cong :premises (@p525 @p524 @p533) :args (@t553)) % 0.45/0.85 (step @p535 :rule cong :premises (@p534 @p526) :args (@t554)) % 0.45/0.85 (step @p536 :rule cong :premises (@p535) :args (@t555)) % 0.45/0.85 (step @p537 :rule eq_resolve :premises (@p514 @p536)) % 0.45/0.85 (step @p538 :rule not_equiv_elim1 :premises (@p537)) % 0.45/0.85 (step @p539 :rule cnf_and_pos :args (@t560 1)) % 0.45/0.85 (step @p540 :rule reordering :premises (@p539) :args ((or @t548 @t561))) % 0.45/0.85 (step @p541 :rule cnf_and_pos :args (@t560 2)) % 0.45/0.85 (step @p542 :rule reordering :premises (@p541) :args ((or @t559 @t561))) % 0.45/0.85 (step @p543 :rule cnf_and_pos :args (@t560 0)) % 0.45/0.85 (step @p544 :rule reordering :premises (@p543) :args ((or @t549 @t561))) % 0.45/0.85 (step @p545 :rule cnf_and_pos :args (@t563 0)) % 0.45/0.85 (step @p546 :rule reordering :premises (@p545) :args ((or @t549 @t564))) % 0.45/0.85 (step @p547 :rule chain_m_resolution :premises (@p538 @p546 @p544) :args (@t549 (@list true true) (@list @t563 @t560))) % 0.45/0.85 (step @p548 :rule cnf_and_neg :args (@t563)) % 0.45/0.85 (step @p549 :rule aci_norm :args ((= @t556 @t558))) % 0.45/0.85 (step @p550 :rule cong :premises (@p549) :args (@t562)) % 0.45/0.85 (step @p551 :rule true_intro :premises (@p550)) % 0.45/0.85 (step @p552 :rule eq-symm :args (@t559 @t562)) % 0.45/0.85 (step @p553 :rule trans :premises (@p552 @p551)) % 0.45/0.85 (step @p554 :rule true_elim :premises (@p553)) % 0.45/0.85 (step @p555 :rule equiv_elim1 :premises (@p554)) % 0.45/0.85 (step @p556 :rule reordering :premises (@p555) :args ((or @t562 (not @t559)))) % 0.45/0.85 (step @p557 :rule chain_m_resolution :premises (@p556 @p548 @p547 @p542 @p540 @p538) :args (@t563 (@list true false false false false) (@list @t562 @t549 @t559 @t548 @t560))) % 0.45/0.85 (step @p558 :rule cnf_and_pos :args (@t563 1)) % 0.45/0.85 (step @p559 :rule reordering :premises (@p558) :args ((or @t548 @t564))) % 0.45/0.85 (step @p560 :rule chain_m_resolution :premises (@p559 @p557) :args (@t548 @t565 @t566)) % 0.45/0.85 (step @p561 :rule not_equiv_elim2 :premises (@p537)) % 0.45/0.85 (step @p562 :rule chain_m_resolution :premises (@p561 @p557) :args (@t561 @t565 @t566)) % 0.45/0.85 (step @p563 :rule cnf_and_pos :args (@t563 2)) % 0.45/0.85 (step @p564 :rule reordering :premises (@p563) :args ((or @t562 @t564))) % 0.45/0.85 (step @p565 :rule chain_m_resolution :premises (@p564 @p557) :args (@t562 @t565 @t566)) % 0.45/0.85 (step @p566 :rule equiv_elim2 :premises (@p554)) % 0.45/0.85 (step @p567 :rule chain_m_resolution :premises (@p566 @p565) :args (@t559 @t565 (@list @t562))) % 0.45/0.85 (step @p568 :rule cnf_and_neg :args (@t560)) % 0.45/0.85 (step @p569 false :rule chain_m_resolution :premises (@p568 @p567 @p562 @p547 @p560) :args (false (@list false true false false) (@list @t559 @t560 @t549 @t548))) % 0.45/0.85 ) % 0.45/0.85 % SZS output end Proof % 0.45/0.85 % cvc5 exiting %------------------------------------------------------------------------------