%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT117+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 : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:19 AM UTC 2026 % Result : Theorem 16.13s 16.32s % Output : Proof 16.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT117+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:28:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.39/0.62 %----Proving TF0_NAR, FOF, or CNF % 16.13/16.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.13/16.32 --- Run --no-e-matching --full-saturate-quant at 6... % 16.13/16.32 % SZS status Theorem % 16.13/16.32 % SZS output start Proof % 16.13/16.32 ( % 16.13/16.32 (declare-sort $$unsorted 0) % 16.13/16.32 (declare-const tptp.v_y $$unsorted) % 16.13/16.32 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 16.13/16.32 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.v_L $$unsorted) % 16.13/16.32 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 16.13/16.32 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.tc_HOL_Obool $$unsorted) % 16.13/16.32 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.tc_Nat_Onat $$unsorted) % 16.13/16.32 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.v_x $$unsorted) % 16.13/16.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 16.13/16.32 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 16.13/16.32 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.13/16.32 (define @t1 () (@var "V_g_2" $$unsorted)) % 16.13/16.32 (define @t2 () (@var "V_f_2" $$unsorted)) % 16.13/16.32 (define @t3 () (@var "B_x" $$unsorted)) % 16.13/16.32 (define @t4 () (tptp.hAPP @t1 @t3)) % 16.13/16.32 (define @t5 () (tptp.hAPP @t2 @t3)) % 16.13/16.32 (define @t6 () (@list @t3)) % 16.13/16.32 (define @t7 () (@var "V_B_2" $$unsorted)) % 16.13/16.32 (define @t8 () (@var "V_c_2" $$unsorted)) % 16.13/16.32 (define @t9 () (@var "T_a" $$unsorted)) % 16.13/16.32 (define @t10 () (tptp.c_member @t9 @t8 @t7)) % 16.13/16.32 (define @t11 () (@var "V_A_2" $$unsorted)) % 16.13/16.32 (define @t12 () (tptp.c_member @t9 @t8 @t11)) % 16.13/16.32 (define @t13 () (=> (not @t12) @t10)) % 16.13/16.32 (define @t14 () (not @t10)) % 16.13/16.32 (define @t15 () (=> @t12 @t14)) % 16.13/16.32 (define @t16 () (= @t11 @t7)) % 16.13/16.32 (define @t17 () (@var "V_La_2" $$unsorted)) % 16.13/16.32 (define @t18 () (@var "V_ya_2" $$unsorted)) % 16.13/16.32 (define @t19 () (@var "V_xa_2" $$unsorted)) % 16.13/16.32 (define @t20 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t19 @t18)) % 16.13/16.32 (define @t21 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 16.13/16.32 (define @t22 () (tptp.c_member @t21 @t20 @t17)) % 16.13/16.32 (define @t23 () (@var "V_z_2" $$unsorted)) % 16.13/16.32 (define @t24 () (= @t19 @t23)) % 16.13/16.32 (define @t25 () (not @t24)) % 16.13/16.32 (define @t26 () (= @t19 @t18)) % 16.13/16.32 (define @t27 () (not @t26)) % 16.13/16.32 (define @t28 () (= @t18 @t23)) % 16.13/16.32 (define @t29 () (not @t28)) % 16.13/16.32 (define @t30 () (@list @t23 @t17 @t18 @t19)) % 16.13/16.32 (define @t31 () (@var "V_R_2" $$unsorted)) % 16.13/16.32 (define @t32 () (@var "T_b" $$unsorted)) % 16.13/16.32 (define @t33 () (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t18)) % 16.13/16.32 (define @t34 () (tptp.tc_prod @t9 @t32)) % 16.13/16.32 (define @t35 () (@var "V_P_2" $$unsorted)) % 16.13/16.32 (define @t36 () (tptp.c_Recdef_Osame__fst @t9 @t32 @t35 @t31)) % 16.13/16.32 (define @t37 () (@var "V_y_H_2" $$unsorted)) % 16.13/16.32 (define @t38 () (tptp.tc_prod @t34 @t34)) % 16.13/16.32 (define @t39 () (tptp.tc_prod @t32 @t32)) % 16.13/16.32 (define @t40 () (tptp.hBOOL (tptp.hAPP @t35 @t19))) % 16.13/16.32 (define @t41 () (@var "V_r_2" $$unsorted)) % 16.13/16.32 (define @t42 () (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t3)) % 16.13/16.32 (define @t43 () (tptp.tc_prod @t9 @t9)) % 16.13/16.32 (define @t44 () (tptp.c_member @t43 @t42 @t41)) % 16.13/16.32 (define @t45 () (@list @t41 @t9)) % 16.13/16.32 (define @t46 () (@var "B_b" $$unsorted)) % 16.13/16.32 (define @t47 () (@var "B_a" $$unsorted)) % 16.13/16.32 (define @t48 () (tptp.c_Product__Type_OPair @t9 @t32 @t47 @t46)) % 16.13/16.32 (define @t49 () (@list @t47 @t46)) % 16.13/16.32 (define @t50 () (@var "B_x1" $$unsorted)) % 16.13/16.32 (define @t51 () (@var "V_b_H_2" $$unsorted)) % 16.13/16.32 (define @t52 () (@var "V_b_2" $$unsorted)) % 16.13/16.32 (define @t53 () (@var "V_a_H_2" $$unsorted)) % 16.13/16.32 (define @t54 () (@var "V_a_2" $$unsorted)) % 16.13/16.32 (define @t55 () (= @t54 @t53)) % 16.13/16.32 (define @t56 () (tptp.c_Product__Type_OPair @t9 @t32 @t53 @t51)) % 16.13/16.32 (define @t57 () (tptp.c_Product__Type_OPair @t9 @t32 @t54 @t52)) % 16.13/16.32 (define @t58 () (@var "V_b_H" $$unsorted)) % 16.13/16.32 (define @t59 () (@var "V_b" $$unsorted)) % 16.13/16.32 (define @t60 () (@var "V_a_H" $$unsorted)) % 16.13/16.32 (define @t61 () (@var "V_a" $$unsorted)) % 16.13/16.32 (define @t62 () (tptp.hAPP @t11 @t19)) % 16.13/16.32 (define @t63 () (tptp.hBOOL @t62)) % 16.13/16.32 (define @t64 () (tptp.c_member @t9 @t19 @t11)) % 16.13/16.32 (define @t65 () (@list @t11 @t19 @t9)) % 16.13/16.32 (define @t66 () (tptp.c_member @t9 @t54 @t11)) % 16.13/16.32 (define @t67 () (tptp.c_member @t9 @t52 @t11)) % 16.13/16.32 (define @t68 () (= @t54 @t52)) % 16.13/16.32 (define @t69 () (@list @t11 @t9 @t52 @t54)) % 16.13/16.32 (define @t70 () (tptp.c_member @t9 @t18 @t11)) % 16.13/16.32 (define @t71 () (tptp.c_member @t9 @t19 @t7)) % 16.13/16.32 (define @t72 () (@var "V_f1_2" $$unsorted)) % 16.13/16.32 (define @t73 () (@var "T_c" $$unsorted)) % 16.13/16.32 (define @t74 () (tptp.c_Product__Type_OPair @t32 @t73 @t54 @t52)) % 16.13/16.32 (define @t75 () (@var "V_s_2" $$unsorted)) % 16.13/16.32 (define @t76 () (tptp.tc_fun @t21 tptp.tc_HOL_Obool)) % 16.13/16.32 (define @t77 () (tptp.c_member @t76 @t17 tptp.c_Arrow__Order__Mirabelle_OLin)) % 16.13/16.32 (define @t78 () (@var "B_z" $$unsorted)) % 16.13/16.32 (define @t79 () (@var "B_g" $$unsorted)) % 16.13/16.32 (define @t80 () (@var "V_F_2" $$unsorted)) % 16.13/16.32 (define @t81 () (@var "V_a1_2" $$unsorted)) % 16.13/16.32 (define @t82 () (@list @t78)) % 16.13/16.32 (define @t83 () (forall @t82 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t81) @t31) (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t78 (tptp.hAPP @t79 @t78))))) % 16.13/16.32 (define @t84 () (tptp.hAPP (tptp.hAPP @t80 @t79) @t81)) % 16.13/16.32 (define @t85 () (@var "V_a2_2" $$unsorted)) % 16.13/16.32 (define @t86 () (tptp.hAPP (tptp.hAPP @t80 @t85) @t81)) % 16.13/16.32 (define @t87 () (@list @t79)) % 16.13/16.32 (define @t88 () (@list @t85 @t81 @t80 @t31 @t32 @t9)) % 16.13/16.32 (define @t89 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t9 @t32 tptp.tc_HOL_Obool @t2 @t54 @t52))) % 16.13/16.32 (define @t90 () (tptp.hBOOL (tptp.hAPP @t2 @t57))) % 16.13/16.32 (define @t91 () (tptp.hAPP @t2 @t19)) % 16.13/16.32 (define @t92 () (tptp.c_Recdef_Ocut @t9 @t32 @t2 @t41 @t54)) % 16.13/16.32 (define @t93 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t54)) % 16.13/16.32 (define @t94 () (tptp.c_member @t43 @t93 @t41)) % 16.13/16.32 (define @t95 () (@var "B_y" $$unsorted)) % 16.13/16.32 (define @t96 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t95 @t19) @t41)) % 16.13/16.32 (define @t97 () (@list @t95)) % 16.13/16.32 (define @t98 () (@var "B_f" $$unsorted)) % 16.13/16.32 (define @t99 () (@var "B_R" $$unsorted)) % 16.13/16.32 (define @t100 () (@list @t19 @t17)) % 16.13/16.32 (define @t101 () (= @t18 @t52)) % 16.13/16.32 (define @t102 () (= @t19 @t54)) % 16.13/16.32 (define @t103 () (= @t19 @t52)) % 16.13/16.32 (define @t104 () (not @t68)) % 16.13/16.32 (define @t105 () (@list @t18 @t19 @t17 @t52 @t54)) % 16.13/16.32 (define @t106 () (= @t18 @t54)) % 16.13/16.32 (define @t107 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t19) @t31)) % 16.13/16.32 (define @t108 () (tptp.c_Wellfounded_Oacc @t9 @t41)) % 16.13/16.32 (define @t109 () (tptp.c_member @t9 @t3 @t108)) % 16.13/16.32 (define @t110 () (tptp.c_member @t9 @t54 @t108)) % 16.13/16.32 (define @t111 () (@list @t41 @t54 @t9)) % 16.13/16.32 (define @t112 () (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t52)) % 16.13/16.32 (define @t113 () (tptp.c_member @t43 @t112 @t41)) % 16.13/16.32 (define @t114 () (tptp.c_member @t9 @t52 @t108)) % 16.13/16.32 (define @t115 () (@var "B_L" $$unsorted)) % 16.13/16.32 (define @t116 () (@list @t18 @t19 @t9)) % 16.13/16.32 (define @t117 () (tptp.c_Wellfounded_Oacc @t9 @t31)) % 16.13/16.32 (define @t118 () (tptp.c_member @t9 @t19 @t108)) % 16.13/16.32 (define @t119 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t41)) % 16.13/16.32 (define @t120 () (tptp.c_Product__Type_OPair @t9 @t9 @t52 @t54)) % 16.13/16.32 (define @t121 () (tptp.c_member @t43 @t120 @t119)) % 16.13/16.32 (define @t122 () (tptp.c_Product__Type_OSigma @t9 @t32 @t11 @t7)) % 16.13/16.32 (define @t123 () (tptp.c_member @t34 @t57 @t122)) % 16.13/16.32 (define @t124 () (tptp.c_member @t32 @t52 (tptp.hAPP @t7 @t54))) % 16.13/16.32 (define @t125 () (tptp.c_Relation_Oirrefl @t9 @t41)) % 16.13/16.32 (define @t126 () (tptp.c_member @t34 @t57 @t41)) % 16.13/16.32 (define @t127 () (@list @t41 @t52 @t54 @t32 @t9)) % 16.13/16.32 (define @t128 () (tptp.c_Relation_OId__on @t9 @t11)) % 16.13/16.32 (define @t129 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t18)) % 16.13/16.32 (define @t130 () (@list @t11 @t18 @t19 @t9)) % 16.13/16.32 (define @t131 () (@list @t11 @t9)) % 16.13/16.32 (define @t132 () (tptp.c_Relation_Oconverse @t9 @t32 @t41)) % 16.13/16.32 (define @t133 () (@list @t41 @t9 @t32)) % 16.13/16.32 (define @t134 () (tptp.c_Product__Type_OPair @t32 @t9 @t52 @t54)) % 16.13/16.32 (define @t135 () (tptp.tc_prod @t32 @t9)) % 16.13/16.32 (define @t136 () (tptp.c_member @t135 @t134 @t41)) % 16.13/16.32 (define @t137 () (tptp.c_Relation_Oconverse @t32 @t9 @t41)) % 16.13/16.32 (define @t138 () (tptp.c_member @t34 @t57 @t137)) % 16.13/16.32 (define @t139 () (tptp.c_Relation_ORange @t32 @t9 @t41)) % 16.13/16.32 (define @t140 () (@list @t41 @t32 @t54 @t9)) % 16.13/16.32 (define @t141 () (@list @t7 @t11 @t52 @t54 @t32 @t9)) % 16.13/16.32 (define @t142 () (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t54)) % 16.13/16.32 (define @t143 () (@var "V_p_2" $$unsorted)) % 16.13/16.32 (define @t144 () (tptp.c_member @t43 @t143 @t41)) % 16.13/16.32 (define @t145 () (@list @t41 @t143 @t9)) % 16.13/16.32 (define @t146 () (tptp.c_Relation_Oconverse @t9 @t9 @t41)) % 16.13/16.32 (define @t147 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t146)) % 16.13/16.32 (define @t148 () (tptp.c_member @t43 @t129 @t147)) % 16.13/16.32 (define @t149 () (tptp.c_Product__Type_OPair @t9 @t9 @t18 @t19)) % 16.13/16.32 (define @t150 () (tptp.c_member @t43 @t149 @t119)) % 16.13/16.32 (define @t151 () (@list @t41 @t19 @t18 @t9)) % 16.13/16.32 (define @t152 () (@list @t41 @t18 @t19 @t9)) % 16.13/16.32 (define @t153 () (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t8)) % 16.13/16.32 (define @t154 () (tptp.c_member @t43 @t153 @t119)) % 16.13/16.32 (define @t155 () (tptp.c_Product__Type_OPair @t9 @t9 @t52 @t8)) % 16.13/16.32 (define @t156 () (tptp.c_member @t43 @t155 @t119)) % 16.13/16.32 (define @t157 () (=> @t156 @t154)) % 16.13/16.32 (define @t158 () (@list @t8 @t41 @t52 @t54 @t9)) % 16.13/16.32 (define @t159 () (tptp.c_member @t43 @t155 @t41)) % 16.13/16.32 (define @t160 () (tptp.c_member @t43 @t112 @t119)) % 16.13/16.32 (define @t161 () (tptp.c_member @t9 @t3 @t11)) % 16.13/16.32 (define @t162 () (tptp.c_member @t135 (tptp.c_Product__Type_OPair @t32 @t9 @t3 @t52) @t41)) % 16.13/16.32 (define @t163 () (tptp.c_Product__Type_OPair @t9 @t32 @t3 @t95)) % 16.13/16.32 (define @t164 () (tptp.c_Product__Type_OPair @t9 @t9 @t18 @t23)) % 16.13/16.32 (define @t165 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t23)) % 16.13/16.32 (define @t166 () (tptp.c_member @t43 @t165 @t119)) % 16.13/16.32 (define @t167 () (tptp.c_member @t43 @t129 @t119)) % 16.13/16.32 (define @t168 () (@var "V_yx_2" $$unsorted)) % 16.13/16.32 (define @t169 () (@list @t3 @t95)) % 16.13/16.32 (define @t170 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t31)) % 16.13/16.32 (define @t171 () (tptp.c_member @t43 @t129 @t170)) % 16.13/16.32 (define @t172 () (tptp.c_Relation_ODomain @t9 @t32 @t41)) % 16.13/16.32 (define @t173 () (tptp.c_member @t9 @t54 @t172)) % 16.13/16.32 (define @t174 () (@var "V_by_2" $$unsorted)) % 16.13/16.32 (define @t175 () (@var "V_bx_2" $$unsorted)) % 16.13/16.32 (define @t176 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t175) @t174))) % 16.13/16.32 (define @t177 () (@var "B_ba" $$unsorted)) % 16.13/16.32 (define @t178 () (@var "B_aa" $$unsorted)) % 16.13/16.32 (define @t179 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t178) @t177))) % 16.13/16.32 (define @t180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t47) @t46))) % 16.13/16.32 (define @t181 () (tptp.c_Product__Type_OPair @t9 @t32 @t178 @t177)) % 16.13/16.32 (define @t182 () (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t48 @t181) @t41)) % 16.13/16.32 (define @t183 () (tptp.c_Transitive__Closure_Ortrancl @t34 @t41)) % 16.13/16.32 (define @t184 () (@var "V_ay_2" $$unsorted)) % 16.13/16.32 (define @t185 () (@var "V_ax_2" $$unsorted)) % 16.13/16.32 (define @t186 () (tptp.c_Product__Type_OPair @t9 @t32 @t185 @t184)) % 16.13/16.32 (define @t187 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t185) @t184))) % 16.13/16.32 (define @t188 () (tptp.c_Product__Type_OPair @t9 @t32 @t175 @t174)) % 16.13/16.32 (define @t189 () (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t186 @t188) @t183)) % 16.13/16.32 (define @t190 () (@list @t35 @t41 @t174 @t175 @t184 @t185 @t32 @t9)) % 16.13/16.32 (define @t191 () (@var "V_zb_2" $$unsorted)) % 16.13/16.32 (define @t192 () (@var "V_za_2" $$unsorted)) % 16.13/16.32 (define @t193 () (tptp.c_Product__Type_OPair @t9 @t32 @t192 @t191)) % 16.13/16.32 (define @t194 () (@var "V_xb_2" $$unsorted)) % 16.13/16.32 (define @t195 () (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t194)) % 16.13/16.32 (define @t196 () (tptp.c_Relation_ODomain @t9 @t32 @t137)) % 16.13/16.32 (define @t197 () (@list @t41 @t32 @t9)) % 16.13/16.32 (define @t198 () (forall @t169 (=> (tptp.c_member @t34 @t163 @t41) (forall @t82 (=> (tptp.c_member @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t3 @t78) @t41) (= @t95 @t78)))))) % 16.13/16.32 (define @t199 () (tptp.c_Relation_Osingle__valued @t9 @t32 @t41)) % 16.13/16.32 (define @t200 () (tptp.c_member @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t54 @t95) @t41)) % 16.13/16.32 (define @t201 () (tptp.hBOOL (tptp.hAPP @t35 @t52))) % 16.13/16.32 (define @t202 () (tptp.hBOOL (tptp.hAPP @t35 @t78))) % 16.13/16.32 (define @t203 () (tptp.hBOOL (tptp.hAPP @t35 @t95))) % 16.13/16.32 (define @t204 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t95 @t78) @t41)) % 16.13/16.32 (define @t205 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t95) @t119)) % 16.13/16.32 (define @t206 () (tptp.hBOOL (tptp.hAPP @t35 @t54))) % 16.13/16.32 (define @t207 () (@list @t35 @t41 @t52 @t54 @t9)) % 16.13/16.32 (define @t208 () (tptp.c_Product__Type_OPair @t9 @t9 @t95 @t23)) % 16.13/16.32 (define @t209 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t95) @t41)) % 16.13/16.32 (define @t210 () (@list @t41 @t23 @t19 @t9)) % 16.13/16.32 (define @t211 () (@list @t41 @t52 @t54 @t9)) % 16.13/16.32 (define @t212 () (@var "B_xa" $$unsorted)) % 16.13/16.32 (define @t213 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t212 @t3) @t41)) % 16.13/16.32 (define @t214 () (@list @t212)) % 16.13/16.32 (define @t215 () (tptp.c_Relation_Ototal__on @t9 @t11 @t41)) % 16.13/16.32 (define @t216 () (@list @t41 @t11 @t9)) % 16.13/16.32 (define @t217 () (tptp.hAPP @t2 @t18)) % 16.13/16.32 (define @t218 () (tptp.c_member @t43 @t129 @t41)) % 16.13/16.32 (define @t219 () (tptp.c_Relation_Orefl__on @t9 @t11 @t41)) % 16.13/16.32 (define @t220 () (@list @t18 @t19 @t41 @t11 @t9)) % 16.13/16.32 (define @t221 () (tptp.c_member @t43 @t142 @t41)) % 16.13/16.32 (define @t222 () (tptp.c_Transitive__Closure_Otrancl @t9 @t41)) % 16.13/16.32 (define @t223 () (tptp.c_member @t43 @t112 @t222)) % 16.13/16.32 (define @t224 () (tptp.c_Relation_OId @t9)) % 16.13/16.32 (define @t225 () (@list @t54 @t9)) % 16.13/16.32 (define @t226 () (tptp.c_member @t43 @t120 @t41)) % 16.13/16.32 (define @t227 () (tptp.c_Relation_Oantisym @t9 @t41)) % 16.13/16.32 (define @t228 () (@list @t52 @t54 @t41 @t9)) % 16.13/16.32 (define @t229 () (= @t3 @t95)) % 16.13/16.32 (define @t230 () (tptp.c_Product__Type_OPair @t9 @t9 @t95 @t3)) % 16.13/16.32 (define @t231 () (tptp.c_member @t43 @t230 @t41)) % 16.13/16.32 (define @t232 () (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t95)) % 16.13/16.32 (define @t233 () (tptp.c_member @t43 @t232 @t41)) % 16.13/16.32 (define @t234 () (forall @t169 (=> @t233 (=> @t231 @t229)))) % 16.13/16.32 (define @t235 () (tptp.c_Relation_Oconverse @t9 @t9 @t222)) % 16.13/16.32 (define @t236 () (tptp.c_member @t43 @t129 @t235)) % 16.13/16.32 (define @t237 () (tptp.c_Transitive__Closure_Otrancl @t9 @t146)) % 16.13/16.32 (define @t238 () (tptp.c_member @t43 @t129 @t237)) % 16.13/16.32 (define @t239 () (@list @t9)) % 16.13/16.32 (define @t240 () (tptp.c_member @t43 @t143 @t222)) % 16.13/16.32 (define @t241 () (tptp.c_Transitive__Closure_Otrancl @t9 @t31)) % 16.13/16.32 (define @t242 () (@list @t31 @t9)) % 16.13/16.32 (define @t243 () (tptp.c_Relation_ODomain @t9 @t9 @t41)) % 16.13/16.32 (define @t244 () (tptp.c_Relation_ORange @t9 @t9 @t41)) % 16.13/16.32 (define @t245 () (tptp.c_member @t43 @t153 @t222)) % 16.13/16.32 (define @t246 () (=> (tptp.c_member @t43 @t155 @t222) @t245)) % 16.13/16.32 (define @t247 () (=> @t159 @t245)) % 16.13/16.32 (define @t248 () (@list @t52 @t54 @t9)) % 16.13/16.32 (define @t249 () (tptp.c_member @t43 @t129 @t241)) % 16.13/16.32 (define @t250 () (@list @t31 @t18 @t19 @t9)) % 16.13/16.32 (define @t251 () (=> @t156 @t245)) % 16.13/16.32 (define @t252 () (tptp.c_member @t43 @t165 @t222)) % 16.13/16.32 (define @t253 () (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t18)) % 16.13/16.32 (define @t254 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t78)) % 16.13/16.32 (define @t255 () (forall @t6 (not (tptp.c_member @t43 @t42 @t222)))) % 16.13/16.32 (define @t256 () (tptp.c_Wellfounded_Oacyclic @t9 @t41)) % 16.13/16.32 (define @t257 () (not @t167)) % 16.13/16.32 (define @t258 () (tptp.c_Set_Oinsert @t43 @t149 @t41)) % 16.13/16.32 (define @t259 () (@var "B_c" $$unsorted)) % 16.13/16.32 (define @t260 () (tptp.tc_fun @t43 tptp.tc_HOL_Obool)) % 16.13/16.32 (define @t261 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t41 @t224)) % 16.13/16.32 (define @t262 () (tptp.c_Groups_Ominus__class_Ominus @t260 @t41 @t224)) % 16.13/16.32 (define @t263 () (tptp.hAPP @t7 @t19)) % 16.13/16.32 (define @t264 () (tptp.hBOOL @t263)) % 16.13/16.32 (define @t265 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 16.13/16.32 (define @t266 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t7)) % 16.13/16.32 (define @t267 () (tptp.hBOOL (tptp.hAPP @t266 @t19))) % 16.13/16.32 (define @t268 () (@list @t19 @t7 @t11 @t9)) % 16.13/16.32 (define @t269 () (not @t264)) % 16.13/16.32 (define @t270 () (tptp.c_member @t9 @t54 (tptp.c_Set_Oinsert @t9 @t52 @t11))) % 16.13/16.32 (define @t271 () (@list @t11 @t52 @t54 @t9)) % 16.13/16.32 (define @t272 () (tptp.c_Set_Oinsert @t9 @t52 @t7)) % 16.13/16.32 (define @t273 () (tptp.c_member @t9 @t54 @t272)) % 16.13/16.32 (define @t274 () (tptp.c_member @t9 @t54 @t7)) % 16.13/16.32 (define @t275 () (@list @t52 @t7 @t54 @t9)) % 16.13/16.32 (define @t276 () (tptp.c_member @t9 @t8 @t266)) % 16.13/16.32 (define @t277 () (@list @t7 @t11 @t8 @t9)) % 16.13/16.32 (define @t278 () (@list @t11 @t7 @t8 @t9)) % 16.13/16.32 (define @t279 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t7)) % 16.13/16.32 (define @t280 () (tptp.c_member @t9 @t8 @t279)) % 16.13/16.32 (define @t281 () (=> @t12 @t10)) % 16.13/16.32 (define @t282 () (tptp.c_Relation_ORange @t32 @t9 @t7)) % 16.13/16.32 (define @t283 () (tptp.c_Relation_ORange @t32 @t9 @t11)) % 16.13/16.32 (define @t284 () (tptp.tc_fun @t135 tptp.tc_HOL_Obool)) % 16.13/16.32 (define @t285 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t7 @t11)) % 16.13/16.32 (define @t286 () (@list @t7 @t11 @t9)) % 16.13/16.32 (define @t287 () (tptp.c_Set_Oinsert @t9 @t19 @t11)) % 16.13/16.32 (define @t288 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t7 @t11)) % 16.13/16.32 (define @t289 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t288)) % 16.13/16.32 (define @t290 () (tptp.c_Set_Oinsert @t9 @t18 @t11)) % 16.13/16.32 (define @t291 () (tptp.c_Set_Oinsert @t9 @t54 @t7)) % 16.13/16.32 (define @t292 () (@list @t7 @t54 @t11 @t9)) % 16.13/16.32 (define @t293 () (@var "V_C_2" $$unsorted)) % 16.13/16.32 (define @t294 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t7 @t293)) % 16.13/16.32 (define @t295 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t294)) % 16.13/16.32 (define @t296 () (@list @t293 @t7 @t11 @t9)) % 16.13/16.32 (define @t297 () (@list @t11 @t7 @t9)) % 16.13/16.32 (define @t298 () (tptp.hBOOL (tptp.hAPP @t35 @t3))) % 16.13/16.32 (define @t299 () (tptp.c_member @t9 @t3 @t7)) % 16.13/16.32 (define @t300 () (tptp.c_member @t9 @t3 @t266)) % 16.13/16.32 (define @t301 () (@list @t35 @t7 @t11 @t9)) % 16.13/16.32 (define @t302 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t287 @t7)) % 16.13/16.32 (define @t303 () (not @t71)) % 16.13/16.32 (define @t304 () (=> @t71 (= @t302 @t279))) % 16.13/16.32 (define @t305 () (@list @t11 @t7 @t19 @t9)) % 16.13/16.32 (define @t306 () (tptp.c_Relation_ODomain @t9 @t32 @t7)) % 16.13/16.32 (define @t307 () (tptp.c_Relation_ODomain @t9 @t32 @t11)) % 16.13/16.32 (define @t308 () (tptp.tc_fun @t34 tptp.tc_HOL_Obool)) % 16.13/16.32 (define @t309 () (@list @t7 @t11 @t32 @t9)) % 16.13/16.32 (define @t310 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t41 @t75)) % 16.13/16.32 (define @t311 () (tptp.c_Product__Type_OPair @t32 @t9 @t54 @t52)) % 16.13/16.32 (define @t312 () (tptp.c_Set_Oinsert @t9 @t19 @t7)) % 16.13/16.32 (define @t313 () (not @t64)) % 16.13/16.32 (define @t314 () (@list @t7 @t11 @t19 @t9)) % 16.13/16.32 (define @t315 () (tptp.c_Set_Oinsert @t9 @t54 @t11)) % 16.13/16.32 (define @t316 () (@list @t11 @t54 @t9)) % 16.13/16.32 (define @t317 () (@var "V_S_2" $$unsorted)) % 16.13/16.32 (define @t318 () (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t31 @t317))) % 16.13/16.32 (define @t319 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t317)) % 16.13/16.32 (define @t320 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t170 @t319)) % 16.13/16.32 (define @t321 () (@list @t317 @t31 @t9)) % 16.13/16.32 (define @t322 () (tptp.tc_fun @t32 @t9)) % 16.13/16.32 (define @t323 () (tptp.hAPP @t1 @t19)) % 16.13/16.32 (define @t324 () (tptp.class_Lattices_Olattice @t9)) % 16.13/16.32 (define @t325 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t35)) % 16.13/16.32 (define @t326 () (tptp.c_member @t43 @t112 @t325)) % 16.13/16.32 (define @t327 () (@var "V_Q_2" $$unsorted)) % 16.13/16.32 (define @t328 () (tptp.c_member @t43 @t112 (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t35 @t327)))) % 16.13/16.32 (define @t329 () (@list @t327 @t35 @t52 @t54 @t9)) % 16.13/16.32 (define @t330 () (tptp.c_Relation_Otrans @t9 @t41)) % 16.13/16.32 (define @t331 () (tptp.c_Wellfounded_Owf @t9 @t41)) % 16.13/16.32 (define @t332 () (tptp.hAPP (tptp.c_Relation_Oinv__image @t9 @t32 @t41) @t2)) % 16.13/16.32 (define @t333 () (@list @t2 @t32 @t41 @t9)) % 16.13/16.32 (define @t334 () (@var "V_rb_2" $$unsorted)) % 16.13/16.32 (define @t335 () (@var "V_ra_2" $$unsorted)) % 16.13/16.32 (define @t336 () (@var "V_R2_2" $$unsorted)) % 16.13/16.32 (define @t337 () (@var "V_R1_2" $$unsorted)) % 16.13/16.32 (define @t338 () (@list @t19 @t41 @t9)) % 16.13/16.32 (define @t339 () (forall @t6 @t109)) % 16.13/16.32 (define @t340 () (forall @t169 (=> @t233 (forall @t82 (=> @t204 (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t78) @t41)))))) % 16.13/16.32 (define @t341 () (tptp.class_Lattices_Osemilattice__sup @t9)) % 16.13/16.32 (define @t342 () (@var "V_x" $$unsorted)) % 16.13/16.32 (define @t343 () (@list @t342 @t9)) % 16.13/16.32 (define @t344 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t59)) % 16.13/16.32 (define @t345 () (@list @t59 @t61 @t9)) % 16.13/16.32 (define @t346 () (@var "V_y" $$unsorted)) % 16.13/16.32 (define @t347 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t346)) % 16.13/16.32 (define @t348 () (= @t347 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t346 @t342))) % 16.13/16.32 (define @t349 () (@list @t346 @t342 @t9)) % 16.13/16.32 (define @t350 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t347) @t347)) % 16.13/16.32 (define @t351 () (@var "V_c" $$unsorted)) % 16.13/16.32 (define @t352 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t59 @t351))) % 16.13/16.32 (define @t353 () (@list @t351 @t61 @t59 @t9)) % 16.13/16.32 (define @t354 () (@var "V_z" $$unsorted)) % 16.13/16.32 (define @t355 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t354)) % 16.13/16.32 (define @t356 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t346 @t354)) % 16.13/16.32 (define @t357 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t356)) % 16.13/16.32 (define @t358 () (= @t357 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t346 @t355))) % 16.13/16.32 (define @t359 () (@list @t354 @t346 @t342 @t9)) % 16.13/16.32 (define @t360 () (@list @t351 @t59 @t61 @t9)) % 16.13/16.32 (define @t361 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t347 @t354) @t357)) % 16.13/16.32 (define @t362 () (tptp.c_Wellfounded_Omeasure @t9)) % 16.13/16.32 (define @t363 () (tptp.hAPP @t362 @t2)) % 16.13/16.32 (define @t364 () (@var "B_M" $$unsorted)) % 16.13/16.32 (define @t365 () (tptp.c_Recdef_Owfrec @t9 @t32 @t99 @t364)) % 16.13/16.32 (define @t366 () (@var "V_H_2" $$unsorted)) % 16.13/16.32 (define @t367 () (tptp.c_Recdef_Owfrec @t9 @t32 @t41 @t366)) % 16.13/16.32 (define @t368 () (tptp.c_Order__Relation_Olinear__order__on @t9 @t11 @t41)) % 16.13/16.32 (define @t369 () (tptp.c_Order__Relation_Opreorder__on @t9 @t11 @t41)) % 16.13/16.32 (define @t370 () (@var "B_Q" $$unsorted)) % 16.13/16.32 (define @t371 () (tptp.c_member @t9 @t3 @t370)) % 16.13/16.32 (define @t372 () (tptp.c_Order__Relation_Opartial__order__on @t9 @t11 @t41)) % 16.13/16.32 (define @t373 () (tptp.c_Wellfounded_Owf @t9 @t31)) % 16.13/16.32 (define @t374 () (tptp.c_Relation_OField @t9 @t41)) % 16.13/16.32 (define @t375 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t217)) % 16.13/16.32 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t344)) % 16.13/16.32 (define @t377 () (@list @t59 @t61 @t342 @t9)) % 16.13/16.32 (define @t378 () (@list @t61 @t59 @t342 @t9)) % 16.13/16.32 (define @t379 () (tptp.c_Relation_OField @t9 @t75)) % 16.13/16.32 (define @t380 () (@list @t75 @t41 @t9)) % 16.13/16.32 (define @t381 () (tptp.c_Wellfounded_Omlex__prod @t9 @t2 @t31)) % 16.13/16.32 (define @t382 () (tptp.c_member @t43 @t129 @t381)) % 16.13/16.32 (define @t383 () (@list @t31 @t9 @t18 @t19 @t2)) % 16.13/16.32 (define @t384 () (@var "V_d_2" $$unsorted)) % 16.13/16.32 (define @t385 () (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t54 @t52) (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t384))) % 16.13/16.32 (define @t386 () (tptp.class_Groups_Oordered__ab__group__add @t9)) % 16.13/16.32 (define @t387 () (@list @t384 @t8 @t52 @t54 @t9)) % 16.13/16.32 (define @t388 () (tptp.c_Orderings_Obot__class_Obot @t265)) % 16.13/16.32 (define @t389 () (tptp.c_Set_Oinsert @t9 @t52 @t388)) % 16.13/16.32 (define @t390 () (tptp.c_Set_Oinsert @t9 @t54 @t389)) % 16.13/16.32 (define @t391 () (tptp.c_Orderings_Obot__class_Obot @t260)) % 16.13/16.32 (define @t392 () (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t7)) % 16.13/16.32 (define @t393 () (@list @t8 @t7 @t11 @t9)) % 16.13/16.32 (define @t394 () (= @t11 @t388)) % 16.13/16.32 (define @t395 () (tptp.c_Set_Oinsert @t9 @t54 @t388)) % 16.13/16.32 (define @t396 () (tptp.c_Orderings_Obot__class_Obot @t308)) % 16.13/16.32 (define @t397 () (tptp.c_Orderings_Obot__class_Obot @t284)) % 16.13/16.32 (define @t398 () (tptp.c_Orderings_Obot__class_Obot @t9)) % 16.13/16.32 (define @t399 () (tptp.class_Lattices_Obounded__lattice__bot @t9)) % 16.13/16.32 (define @t400 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t19 @t18)) % 16.13/16.32 (define @t401 () (= @t52 @t54)) % 16.13/16.32 (define @t402 () (tptp.c_member @t9 @t52 @t395)) % 16.13/16.32 (define @t403 () (@list @t54 @t52 @t9)) % 16.13/16.32 (define @t404 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t291)) % 16.13/16.32 (define @t405 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t395)) % 16.13/16.32 (define @t406 () (tptp.c_Set_Oinsert @t9 @t54 @t405)) % 16.13/16.32 (define @t407 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 16.13/16.32 (define @t408 () (tptp.c_Set_Oinsert @t9 @t19 @t388)) % 16.13/16.32 (define @t409 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t408)) % 16.13/16.32 (define @t410 () (tptp.class_Orderings_Obot @t9)) % 16.13/16.32 (define @t411 () (tptp.c_Relation_OImage @t9 @t9 @t41 @t389)) % 16.13/16.32 (define @t412 () (tptp.c_Relation_OImage @t9 @t9 @t41 @t395)) % 16.13/16.32 (define @t413 () (tptp.c_member @t9 @t52 @t374)) % 16.13/16.32 (define @t414 () (tptp.c_member @t9 @t54 @t374)) % 16.13/16.32 (define @t415 () (=> @t414 (=> @t413 (= (= @t412 @t411) @t68)))) % 16.13/16.32 (define @t416 () (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t293)) % 16.13/16.32 (define @t417 () (=> (tptp.c_Orderings_Oord__class_Oless @t265 @t7 @t293) @t416)) % 16.13/16.32 (define @t418 () (tptp.tc_fun @t32 tptp.tc_HOL_Obool)) % 16.13/16.32 (define @t419 () (tptp.c_Orderings_Obot__class_Obot @t418)) % 16.13/16.32 (define @t420 () (tptp.c_Relation_OImage @t32 @t9 @t31 @t7)) % 16.13/16.32 (define @t421 () (tptp.c_Relation_OImage @t32 @t9 @t31 @t11)) % 16.13/16.32 (define @t422 () (tptp.c_Relation_OImage @t9 @t32 @t41 @t11)) % 16.13/16.32 (define @t423 () (tptp.c_member @t32 @t3 @t11)) % 16.13/16.32 (define @t424 () (tptp.c_member @t9 @t52 (tptp.c_Relation_OImage @t32 @t9 @t41 @t11))) % 16.13/16.32 (define @t425 () (@list @t11 @t41 @t32 @t52 @t9)) % 16.13/16.32 (define @t426 () (tptp.class_Orderings_Opreorder @t9)) % 16.13/16.32 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t9 @t18 @t19)) % 16.13/16.32 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t9 @t19 @t18)) % 16.13/16.32 (define @t429 () (tptp.class_Orderings_Olinorder @t9)) % 16.13/16.32 (define @t430 () (not @t428)) % 16.13/16.32 (define @t431 () (tptp.c_Orderings_Oord__class_Oless @t9 @t346 @t342)) % 16.13/16.32 (define @t432 () (= @t342 @t346)) % 16.13/16.32 (define @t433 () (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t346)) % 16.13/16.32 (define @t434 () (= @t430 @t26)) % 16.13/16.32 (define @t435 () (@list @t19 @t18 @t9)) % 16.13/16.32 (define @t436 () (not @t433)) % 16.13/16.32 (define @t437 () (not @t432)) % 16.13/16.32 (define @t438 () (tptp.class_Orderings_Oorder @t9)) % 16.13/16.32 (define @t439 () (tptp.c_Orderings_Oord__class_Oless @t9 @t59 @t61)) % 16.13/16.32 (define @t440 () (tptp.c_Orderings_Oord__class_Oless @t9 @t61 @t59)) % 16.13/16.32 (define @t441 () (@list @t61 @t59 @t9)) % 16.13/16.32 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t9 @t61 @t351)) % 16.13/16.32 (define @t443 () (= @t61 @t59)) % 16.13/16.32 (define @t444 () (tptp.class_Orderings_Oord @t9)) % 16.13/16.32 (define @t445 () (tptp.c_Orderings_Oord__class_Oless @t9 @t351 @t61)) % 16.13/16.32 (define @t446 () (= @t59 @t351)) % 16.13/16.32 (define @t447 () (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t354)) % 16.13/16.32 (define @t448 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t346 @t354) @t447)) % 16.13/16.32 (define @t449 () (tptp.c_Orderings_Oord__class_Oless @t9 @t354 @t342)) % 16.13/16.32 (define @t450 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t354 @t346) @t449)) % 16.13/16.32 (define @t451 () (@list @t354 @t342 @t346 @t9)) % 16.13/16.32 (define @t452 () (@var "V_n_2" $$unsorted)) % 16.13/16.32 (define @t453 () (@var "V_m_2" $$unsorted)) % 16.13/16.32 (define @t454 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 16.13/16.32 (define @t455 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t453 @t452)) % 16.13/16.32 (define @t456 () (@list @t452 @t453)) % 16.13/16.32 (define @t457 () (tptp.c_Order__Relation_Opreorder__on @t9 @t374 @t41)) % 16.13/16.32 (define @t458 () (@var "V_a4_2" $$unsorted)) % 16.13/16.32 (define @t459 () (@var "V_a3_2" $$unsorted)) % 16.13/16.32 (define @t460 () (@var "V_a5_2" $$unsorted)) % 16.13/16.32 (define @t461 () (tptp.hAPP (tptp.hAPP @t459 @t81) @t460)) % 16.13/16.32 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t11)) % 16.13/16.32 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t7)) % 16.13/16.32 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t18 @t19)) % 16.13/16.32 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 @t18)) % 16.13/16.32 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t346)) % 16.13/16.32 (define @t467 () (tptp.tc_fun @t9 @t32)) % 16.13/16.32 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq @t467 @t2 @t1)) % 16.13/16.32 (define @t469 () (tptp.class_Orderings_Oord @t32)) % 16.13/16.32 (define @t470 () (@list @t1 @t2 @t9 @t32)) % 16.13/16.32 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t346 @t342)) % 16.13/16.32 (define @t472 () (@list @t342 @t346 @t9)) % 16.13/16.32 (define @t473 () (= @t465 @t26)) % 16.13/16.32 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t61 @t59)) % 16.13/16.32 (define @t475 () (not @t443)) % 16.13/16.32 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t61)) % 16.13/16.32 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t346 @t354)) % 16.13/16.32 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t354 @t346)) % 16.13/16.32 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t293)) % 16.13/16.32 (define @t480 () (@list @t143 @t41 @t9)) % 16.13/16.32 (define @t481 () (@var "V_A_H_2" $$unsorted)) % 16.13/16.32 (define @t482 () (@var "V_r_H_2" $$unsorted)) % 16.13/16.32 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t61 @t351)) % 16.13/16.32 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t351 @t61)) % 16.13/16.32 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t354 @t342)) % 16.13/16.32 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t41 @t75)) % 16.13/16.32 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t308 @t41 @t75)) % 16.13/16.32 (define @t488 () (@list @t75 @t41 @t32 @t9)) % 16.13/16.32 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t342)) % 16.13/16.32 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t61 @t342)) % 16.13/16.32 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t344 @t342)) % 16.13/16.32 (define @t492 () (@var "V_d" $$unsorted)) % 16.13/16.32 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t344)) % 16.13/16.32 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t346 @t347)) % 16.13/16.32 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t347)) % 16.13/16.32 (define @t496 () (@var "V_D_2" $$unsorted)) % 16.13/16.32 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t293)) % 16.13/16.32 (define @t498 () (= @t266 @t7)) % 16.13/16.32 (define @t499 () (tptp.hBOOL (tptp.hAPP @t327 @t19))) % 16.13/16.32 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t35 @t327)) % 16.13/16.32 (define @t501 () (@list @t9 @t7 @t11)) % 16.13/16.32 (define @t502 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t75)) % 16.13/16.32 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t119 @t502)) % 16.13/16.32 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t312)) % 16.13/16.32 (define @t505 () (@var "V_X_2" $$unsorted)) % 16.13/16.32 (define @t506 () (=> @t313 @t463)) % 16.13/16.32 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t409 @t7)) % 16.13/16.32 (define @t508 () (@list @t7 @t19 @t11 @t9)) % 16.13/16.32 (define @t509 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t265 @t11 @t7)) % 16.13/16.32 (define @t510 () (tptp.hBOOL (tptp.hAPP @t509 @t19))) % 16.13/16.32 (define @t511 () (tptp.c_member @t9 @t8 @t509)) % 16.13/16.32 (define @t512 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t342 @t346)) % 16.13/16.32 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t512 @t342)) % 16.13/16.32 (define @t514 () (tptp.class_Lattices_Osemilattice__inf @t9)) % 16.13/16.32 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t512 @t346)) % 16.13/16.32 (define @t516 () (@var "T_1" $$unsorted)) % 16.13/16.32 (define @t517 () (@var "T_2" $$unsorted)) % 16.13/16.32 (define @t518 () (tptp.tc_fun @t517 @t516)) % 16.13/16.32 (define @t519 () (tptp.class_Lattices_Obounded__lattice @t516)) % 16.13/16.32 (define @t520 () (@list @t517 @t516)) % 16.13/16.32 (define @t521 () (tptp.class_Lattices_Olattice @t516)) % 16.13/16.32 (define @t522 () (@var "V_y_2" $$unsorted)) % 16.13/16.32 (define @t523 () (@var "V_x_2" $$unsorted)) % 16.13/16.32 (define @t524 () (= @t523 @t522)) % 16.13/16.32 (define @t525 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t523) @t522))) % 16.13/16.32 (define @t526 () (@list @t522 @t523)) % 16.13/16.32 (define @t527 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t95 @t3) tptp.v_L)) % 16.13/16.32 (define @t528 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t95) tptp.v_L)) % 16.13/16.32 (define @t529 () (or @t528 @t527)) % 16.13/16.32 (define @t530 () (not @t229)) % 16.13/16.32 (define @t531 () (forall @t169 (=> @t530 @t529))) % 16.13/16.32 (define @t532 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t78) tptp.v_L)) % 16.13/16.32 (define @t533 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t95 @t78) tptp.v_L)) % 16.13/16.32 (define @t534 () (forall @t82 (=> @t533 @t532))) % 16.13/16.32 (define @t535 () (=> @t528 @t534)) % 16.13/16.32 (define @t536 () (forall @t169 @t535)) % 16.13/16.32 (define @t537 () (= @t3 tptp.v_y)) % 16.13/16.32 (define @t538 () (not @t537)) % 16.13/16.32 (define @t539 () (= @t95 tptp.v_y)) % 16.13/16.32 (define @t540 () (and @t539 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t3) tptp.v_L) @t538)) % 16.13/16.32 (define @t541 () (not @t539)) % 16.13/16.32 (define @t542 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t95 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t543 () (and @t537 @t542 @t541)) % 16.13/16.32 (define @t544 () (and @t527 @t541 @t538)) % 16.13/16.32 (define @t545 () (= @t95 tptp.v_x)) % 16.13/16.32 (define @t546 () (and @t545 @t537)) % 16.13/16.32 (define @t547 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t95) tptp.v_L)) % 16.13/16.32 (define @t548 () (and @t537 @t547 @t541)) % 16.13/16.32 (define @t549 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t550 () (and @t539 @t549 @t538)) % 16.13/16.32 (define @t551 () (and @t528 @t538 @t541)) % 16.13/16.32 (define @t552 () (= @t3 tptp.v_x)) % 16.13/16.32 (define @t553 () (and @t552 @t539)) % 16.13/16.32 (define @t554 () (or @t553 @t551 @t550 @t548 @t546 @t544 @t543 @t540)) % 16.13/16.32 (define @t555 () (forall @t169 (=> @t530 @t554))) % 16.13/16.32 (define @t556 () (not @t542)) % 16.13/16.32 (define @t557 () (= @t78 tptp.v_y)) % 16.13/16.32 (define @t558 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t78) tptp.v_L)) % 16.13/16.32 (define @t559 () (not @t557)) % 16.13/16.32 (define @t560 () (and @t533 @t559)) % 16.13/16.32 (define @t561 () (and (=> @t545 @t559) (=> @t560 @t558) (=> @t557 @t556))) % 16.13/16.32 (define @t562 () (forall @t82 @t561)) % 16.13/16.32 (define @t563 () (=> @t548 @t562)) % 16.13/16.32 (define @t564 () (and @t558 @t559)) % 16.13/16.32 (define @t565 () (forall @t82 (=> @t564 @t532))) % 16.13/16.32 (define @t566 () (=> @t550 @t565)) % 16.13/16.32 (define @t567 () (or @t552 @t549)) % 16.13/16.32 (define @t568 () (and @t557 @t542)) % 16.13/16.32 (define @t569 () (and @t545 @t557)) % 16.13/16.32 (define @t570 () (and (=> @t569 @t567) (=> @t560 @t532) (=> @t568 @t567))) % 16.13/16.32 (define @t571 () (forall @t82 @t570)) % 16.13/16.32 (define @t572 () (=> @t551 @t571)) % 16.13/16.32 (define @t573 () (and @t572 @t566 @t563)) % 16.13/16.32 (define @t574 () (forall @t169 @t573)) % 16.13/16.32 (define @t575 () (and @t574 @t555)) % 16.13/16.32 (define @t576 () (not @t575)) % 16.13/16.32 (define @t577 () (@var "BOUND_VARIABLE_13152" $$unsorted)) % 16.13/16.32 (define @t578 () (@var "BOUND_VARIABLE_13076" $$unsorted)) % 16.13/16.32 (define @t579 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t578 @t577) tptp.v_L)) % 16.13/16.32 (define @t580 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t577) tptp.v_L))) % 16.13/16.32 (define @t581 () (= tptp.v_y @t578)) % 16.13/16.32 (define @t582 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t578 tptp.v_x) tptp.v_L))) % 16.13/16.32 (define @t583 () (@list @t578 @t577)) % 16.13/16.32 (define @t584 () (forall @t583 (or @t582 @t581 @t580 (= tptp.v_y @t577) @t579))) % 16.13/16.32 (define @t585 () (@quantifiers_skolemize @t584 0)) % 16.13/16.32 (define @t586 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t585 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t587 () (@quantifiers_skolemize @t584 1)) % 16.13/16.32 (define @t588 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t585 @t587) tptp.v_L)) % 16.13/16.32 (define @t589 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t587) tptp.v_L)) % 16.13/16.32 (define @t590 () (not @t589)) % 16.13/16.32 (define @t591 () (not @t586)) % 16.13/16.32 (define @t592 () (or @t591 (= tptp.v_y @t585) @t590 (= tptp.v_y @t587) @t588)) % 16.13/16.32 (define @t593 () (@var "BOUND_VARIABLE_12899" $$unsorted)) % 16.13/16.32 (define @t594 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t593) tptp.v_L)) % 16.13/16.32 (define @t595 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t95 @t593) tptp.v_L))) % 16.13/16.32 (define @t596 () (not @t528)) % 16.13/16.32 (define @t597 () (or @t595 @t594)) % 16.13/16.32 (define @t598 () (or @t596 @t597)) % 16.13/16.32 (define @t599 () (forall (@list @t3 @t95 @t593) @t598)) % 16.13/16.32 (define @t600 () (@list @t593)) % 16.13/16.32 (define @t601 () (forall @t600 @t598)) % 16.13/16.32 (define @t602 () (forall @t600 @t597)) % 16.13/16.32 (define @t603 () (@list @t78)) % 16.13/16.32 (define @t604 () (or @t596 @t602)) % 16.13/16.32 (define @t605 () (not @t533)) % 16.13/16.32 (define @t606 () (forall @t82 (or @t605 @t532))) % 16.13/16.32 (define @t607 () (or @t591 @t590 @t588)) % 16.13/16.32 (define @t608 () (not @t592)) % 16.13/16.32 (define @t609 () (not @t584)) % 16.13/16.32 (define @t610 () (@list false)) % 16.13/16.32 (define @t611 () (@var "BOUND_VARIABLE_13046" $$unsorted)) % 16.13/16.32 (define @t612 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t613 () (= tptp.v_x @t611)) % 16.13/16.32 (define @t614 () (@var "BOUND_VARIABLE_13048" $$unsorted)) % 16.13/16.32 (define @t615 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t614 tptp.v_x) tptp.v_L))) % 16.13/16.32 (define @t616 () (or @t615 @t613 @t612)) % 16.13/16.32 (define @t617 () (@var "BOUND_VARIABLE_13128" $$unsorted)) % 16.13/16.32 (define @t618 () (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t614 @t617) tptp.v_L)) (= tptp.v_y @t617) (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 @t617) tptp.v_L))) % 16.13/16.32 (define @t619 () (or (not (= tptp.v_x @t614)) @t613 @t612)) % 16.13/16.32 (define @t620 () (and @t619 @t618 @t616)) % 16.13/16.32 (define @t621 () (= tptp.v_y @t614)) % 16.13/16.32 (define @t622 () (= tptp.v_y @t611)) % 16.13/16.32 (define @t623 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 @t614) tptp.v_L))) % 16.13/16.32 (define @t624 () (or @t623 @t622 @t621 @t620)) % 16.13/16.32 (define @t625 () (forall (@list @t611 @t614 @t617) @t624)) % 16.13/16.32 (define @t626 () (@quantifiers_skolemize @t625 1)) % 16.13/16.32 (define @t627 () (@quantifiers_skolemize @t625 0)) % 16.13/16.32 (define @t628 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t627 @t626) tptp.v_L)) % 16.13/16.32 (define @t629 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t627 tptp.v_x)) % 16.13/16.32 (define @t630 () (tptp.c_member @t21 @t629 tptp.v_L)) % 16.13/16.32 (define @t631 () (= tptp.v_x @t627)) % 16.13/16.32 (define @t632 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t626 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t633 () (not @t632)) % 16.13/16.32 (define @t634 () (or @t633 @t631 @t630)) % 16.13/16.32 (define @t635 () (@quantifiers_skolemize @t625 2)) % 16.13/16.32 (define @t636 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t627 @t635) tptp.v_L)) % 16.13/16.32 (define @t637 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t626 @t635) tptp.v_L)) % 16.13/16.32 (define @t638 () (not @t637)) % 16.13/16.32 (define @t639 () (or @t638 (= tptp.v_y @t635) @t636)) % 16.13/16.32 (define @t640 () (= tptp.v_x @t626)) % 16.13/16.32 (define @t641 () (not @t640)) % 16.13/16.32 (define @t642 () (or @t641 @t631 @t630)) % 16.13/16.32 (define @t643 () (and @t642 @t639 @t634)) % 16.13/16.32 (define @t644 () (not @t628)) % 16.13/16.32 (define @t645 () (or @t644 (= tptp.v_y @t627) (= tptp.v_y @t626) @t643)) % 16.13/16.32 (define @t646 () (or @t644 @t638 @t636)) % 16.13/16.32 (define @t647 () (@list false true false)) % 16.13/16.32 (define @t648 () (and @t628 @t640)) % 16.13/16.32 (define @t649 () (or @t644 @t633 @t630)) % 16.13/16.32 (define @t650 () (not @t645)) % 16.13/16.32 (define @t651 () (not @t625)) % 16.13/16.32 (define @t652 () (or @t229 @t553 @t551 @t550 @t548 @t546 @t544 @t543 @t540)) % 16.13/16.32 (define @t653 () (forall @t169 @t652)) % 16.13/16.32 (define @t654 () (@quantifiers_skolemize @t653 0)) % 16.13/16.32 (define @t655 () (= tptp.v_y @t654)) % 16.13/16.32 (define @t656 () (not @t655)) % 16.13/16.32 (define @t657 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t654) tptp.v_L)) % 16.13/16.32 (define @t658 () (@quantifiers_skolemize @t653 1)) % 16.13/16.32 (define @t659 () (= tptp.v_y @t658)) % 16.13/16.32 (define @t660 () (and @t659 @t657 @t656)) % 16.13/16.32 (define @t661 () (not @t659)) % 16.13/16.32 (define @t662 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t658 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t663 () (and @t655 @t662 @t661)) % 16.13/16.32 (define @t664 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t658 @t654) tptp.v_L)) % 16.13/16.32 (define @t665 () (and @t664 @t661 @t656)) % 16.13/16.32 (define @t666 () (= tptp.v_x @t658)) % 16.13/16.32 (define @t667 () (and @t666 @t655)) % 16.13/16.32 (define @t668 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t658) tptp.v_L)) % 16.13/16.32 (define @t669 () (and @t655 @t668 @t661)) % 16.13/16.32 (define @t670 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t654 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t671 () (and @t659 @t670 @t656)) % 16.13/16.32 (define @t672 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t654 @t658) tptp.v_L)) % 16.13/16.32 (define @t673 () (and @t672 @t656 @t661)) % 16.13/16.32 (define @t674 () (= tptp.v_x @t654)) % 16.13/16.32 (define @t675 () (and @t674 @t659)) % 16.13/16.32 (define @t676 () (= @t654 @t658)) % 16.13/16.32 (define @t677 () (or @t676 @t675 @t673 @t671 @t669 @t667 @t665 @t663 @t660)) % 16.13/16.32 (define @t678 () (not @t664)) % 16.13/16.32 (define @t679 () (not @t656)) % 16.13/16.32 (define @t680 () (not @t661)) % 16.13/16.32 (define @t681 () (not @t668)) % 16.13/16.32 (define @t682 () (not @t662)) % 16.13/16.32 (define @t683 () (or @t229 @t528 @t527)) % 16.13/16.32 (define @t684 () (not @t530)) % 16.13/16.32 (define @t685 () (or @t666 @t668 @t662)) % 16.13/16.32 (define @t686 () (or @t676 @t672 @t664)) % 16.13/16.32 (define @t687 () (not @t672)) % 16.13/16.32 (define @t688 () (not @t676)) % 16.13/16.32 (define @t689 () (not @t670)) % 16.13/16.32 (define @t690 () (not @t657)) % 16.13/16.32 (define @t691 () (= @t654 tptp.v_x)) % 16.13/16.32 (define @t692 () (or @t691 @t670 @t657)) % 16.13/16.32 (define @t693 () (forall @t169 @t683)) % 16.13/16.32 (define @t694 () (or @t674 @t670 @t657)) % 16.13/16.32 (define @t695 () (not @t677)) % 16.13/16.32 (define @t696 () (not @t653)) % 16.13/16.32 (define @t697 () (= @t654 tptp.v_y)) % 16.13/16.32 (define @t698 () (not @t697)) % 16.13/16.32 (define @t699 () (= @t658 tptp.v_y)) % 16.13/16.32 (define @t700 () (and @t699 @t657 @t698)) % 16.13/16.32 (define @t701 () (not @t699)) % 16.13/16.32 (define @t702 () (and @t697 @t662 @t701)) % 16.13/16.32 (define @t703 () (and @t664 @t701 @t698)) % 16.13/16.32 (define @t704 () (and (= @t658 tptp.v_x) @t697)) % 16.13/16.32 (define @t705 () (and @t697 @t668 @t701)) % 16.13/16.32 (define @t706 () (and @t699 @t670 @t698)) % 16.13/16.32 (define @t707 () (and @t672 @t698 @t701)) % 16.13/16.32 (define @t708 () (and @t691 @t699)) % 16.13/16.32 (define @t709 () (or @t676 @t708 @t707 @t706 @t705 @t704 @t703 @t702 @t700)) % 16.13/16.32 (define @t710 () (not @t709)) % 16.13/16.32 (define @t711 () (@var "BOUND_VARIABLE_13095" $$unsorted)) % 16.13/16.32 (define @t712 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t711 tptp.v_x) tptp.v_L))) % 16.13/16.32 (define @t713 () (@var "BOUND_VARIABLE_13183" $$unsorted)) % 16.13/16.32 (define @t714 () (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t711 @t713) tptp.v_L)) (= tptp.v_y @t713) (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t713) tptp.v_L))) % 16.13/16.32 (define @t715 () (not (= tptp.v_x @t711))) % 16.13/16.32 (define @t716 () (and @t715 @t714 @t712)) % 16.13/16.32 (define @t717 () (= tptp.v_y @t711)) % 16.13/16.32 (define @t718 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t711) tptp.v_L))) % 16.13/16.32 (define @t719 () (or @t718 @t717 @t716)) % 16.13/16.32 (define @t720 () (forall (@list @t711 @t713) @t719)) % 16.13/16.32 (define @t721 () (@list @t713)) % 16.13/16.32 (define @t722 () (forall @t721 @t719)) % 16.13/16.32 (define @t723 () (@list @t711)) % 16.13/16.32 (define @t724 () (forall @t721 @t712)) % 16.13/16.32 (define @t725 () (forall @t721 @t714)) % 16.13/16.32 (define @t726 () (@var "BOUND_VARIABLE_12993" $$unsorted)) % 16.13/16.32 (define @t727 () (@list @t726)) % 16.13/16.32 (define @t728 () (forall @t721 @t715)) % 16.13/16.32 (define @t729 () (and @t728 @t725 @t724)) % 16.13/16.32 (define @t730 () (forall @t721 @t716)) % 16.13/16.32 (define @t731 () (or @t718 @t717 @t730)) % 16.13/16.32 (define @t732 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t726) tptp.v_L)) % 16.13/16.32 (define @t733 () (= tptp.v_y @t726)) % 16.13/16.32 (define @t734 () (@list @t726)) % 16.13/16.32 (define @t735 () (forall @t734 (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t711 @t726) tptp.v_L)) @t733 @t732))) % 16.13/16.32 (define @t736 () (and @t715 @t735 @t712)) % 16.13/16.32 (define @t737 () (or @t718 @t717 @t736)) % 16.13/16.32 (define @t738 () (forall @t723 @t737)) % 16.13/16.32 (define @t739 () (not (= tptp.v_y tptp.v_y))) % 16.13/16.32 (define @t740 () (@var "BOUND_VARIABLE_13093" $$unsorted)) % 16.13/16.32 (define @t741 () (not (= tptp.v_y @t740))) % 16.13/16.32 (define @t742 () (not (= @t740 tptp.v_y))) % 16.13/16.32 (define @t743 () (@list @t740)) % 16.13/16.32 (define @t744 () (or @t741 @t741)) % 16.13/16.32 (define @t745 () (forall @t743 @t741)) % 16.13/16.32 (define @t746 () (or @t745 @t738)) % 16.13/16.32 (define @t747 () (or @t741 @t737)) % 16.13/16.32 (define @t748 () (@list @t740 @t711)) % 16.13/16.32 (define @t749 () (or @t741 @t718 @t717 @t736)) % 16.13/16.32 (define @t750 () (not (= @t711 tptp.v_x))) % 16.13/16.32 (define @t751 () (and @t750 @t735 @t712)) % 16.13/16.32 (define @t752 () (or @t742 @t718 (= @t711 tptp.v_y) @t751)) % 16.13/16.32 (define @t753 () (forall @t748 @t752)) % 16.13/16.32 (define @t754 () (= @t577 tptp.v_y)) % 16.13/16.32 (define @t755 () (or @t582 @t581 @t580 @t754 @t579)) % 16.13/16.32 (define @t756 () (or @t580 @t754 @t579)) % 16.13/16.32 (define @t757 () (or @t582 @t581 @t756)) % 16.13/16.32 (define @t758 () (forall @t583 @t757)) % 16.13/16.32 (define @t759 () (@list @t577)) % 16.13/16.32 (define @t760 () (forall @t759 @t757)) % 16.13/16.32 (define @t761 () (@list @t578)) % 16.13/16.32 (define @t762 () (forall @t759 @t756)) % 16.13/16.32 (define @t763 () (or @t582 @t581 @t762)) % 16.13/16.32 (define @t764 () (not @t558)) % 16.13/16.32 (define @t765 () (forall @t82 (or @t764 @t557 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t578 @t78) tptp.v_L)))) % 16.13/16.32 (define @t766 () (or @t582 @t581 @t765)) % 16.13/16.32 (define @t767 () (forall @t761 @t766)) % 16.13/16.32 (define @t768 () (@var "BOUND_VARIABLE_13078" $$unsorted)) % 16.13/16.32 (define @t769 () (not (= tptp.v_y @t768))) % 16.13/16.32 (define @t770 () (not (= @t768 tptp.v_y))) % 16.13/16.32 (define @t771 () (@list @t768)) % 16.13/16.32 (define @t772 () (or @t769 @t769)) % 16.13/16.32 (define @t773 () (forall @t771 @t769)) % 16.13/16.32 (define @t774 () (or @t773 @t767)) % 16.13/16.32 (define @t775 () (or @t769 @t766)) % 16.13/16.32 (define @t776 () (@list @t768 @t578)) % 16.13/16.32 (define @t777 () (or @t769 @t582 @t581 @t765)) % 16.13/16.32 (define @t778 () (forall @t776 @t777)) % 16.13/16.32 (define @t779 () (@list @t578 @t768)) % 16.13/16.32 (define @t780 () (or @t770 @t582 (= @t578 tptp.v_y) @t765)) % 16.13/16.32 (define @t781 () (forall @t779 @t780)) % 16.13/16.32 (define @t782 () (@list @t617)) % 16.13/16.32 (define @t783 () (forall @t782 @t624)) % 16.13/16.32 (define @t784 () (@list @t611 @t614)) % 16.13/16.32 (define @t785 () (forall @t782 @t616)) % 16.13/16.32 (define @t786 () (forall @t782 @t618)) % 16.13/16.32 (define @t787 () (@var "BOUND_VARIABLE_12935" $$unsorted)) % 16.13/16.32 (define @t788 () (@list @t787)) % 16.13/16.32 (define @t789 () (forall @t782 @t619)) % 16.13/16.32 (define @t790 () (and @t789 @t786 @t785)) % 16.13/16.32 (define @t791 () (forall @t782 @t620)) % 16.13/16.32 (define @t792 () (or @t623 @t622 @t621 @t791)) % 16.13/16.32 (define @t793 () (= tptp.v_y @t787)) % 16.13/16.32 (define @t794 () (@list @t787)) % 16.13/16.32 (define @t795 () (forall @t794 (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t614 @t787) tptp.v_L)) @t793 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 @t787) tptp.v_L)))) % 16.13/16.32 (define @t796 () (= @t611 tptp.v_x)) % 16.13/16.32 (define @t797 () (or @t615 @t796 @t612)) % 16.13/16.32 (define @t798 () (not (= @t614 tptp.v_x))) % 16.13/16.32 (define @t799 () (or @t798 @t796 @t612)) % 16.13/16.32 (define @t800 () (and @t799 @t795 @t797)) % 16.13/16.32 (define @t801 () (or @t623 (= @t611 tptp.v_y) (= @t614 tptp.v_y) @t800)) % 16.13/16.32 (define @t802 () (forall @t784 @t801)) % 16.13/16.32 (define @t803 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t95 @t726) tptp.v_L))) % 16.13/16.32 (define @t804 () (not @t545)) % 16.13/16.32 (define @t805 () (and @t804 (forall @t734 (or @t803 @t733 @t732)) @t556)) % 16.13/16.32 (define @t806 () (not @t547)) % 16.13/16.32 (define @t807 () (or @t538 @t806 @t539 @t805)) % 16.13/16.32 (define @t808 () (forall @t169 @t807)) % 16.13/16.32 (define @t809 () (@list @t3 @t95)) % 16.13/16.32 (define @t810 () (or @t764 @t557 @t532)) % 16.13/16.32 (define @t811 () (forall @t82 @t810)) % 16.13/16.32 (define @t812 () (not @t549)) % 16.13/16.32 (define @t813 () (or @t541 @t812 @t537 @t811)) % 16.13/16.32 (define @t814 () (forall @t169 @t813)) % 16.13/16.32 (define @t815 () (or @t556 @t552 @t549)) % 16.13/16.32 (define @t816 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t787) tptp.v_L)) % 16.13/16.32 (define @t817 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t95 @t787) tptp.v_L))) % 16.13/16.32 (define @t818 () (or @t804 @t552 @t549)) % 16.13/16.32 (define @t819 () (and @t818 (forall @t794 (or @t817 @t793 @t816)) @t815)) % 16.13/16.32 (define @t820 () (or @t596 @t537 @t539 @t819)) % 16.13/16.32 (define @t821 () (forall @t169 @t820)) % 16.13/16.32 (define @t822 () (and @t821 @t814 @t808)) % 16.13/16.32 (define @t823 () (not @t541)) % 16.13/16.32 (define @t824 () (or @t538 @t806 @t823)) % 16.13/16.32 (define @t825 () (not @t538)) % 16.13/16.32 (define @t826 () (or @t541 @t812 @t825)) % 16.13/16.32 (define @t827 () (or @t596 @t825 @t823)) % 16.13/16.32 (define @t828 () (and (=> @t551 @t819) (=> @t550 @t811) (=> @t548 @t805))) % 16.13/16.32 (define @t829 () (@var "BOUND_VARIABLE_13004" $$unsorted)) % 16.13/16.32 (define @t830 () (not (= tptp.v_y @t829))) % 16.13/16.32 (define @t831 () (not (= @t829 tptp.v_y))) % 16.13/16.32 (define @t832 () (@list @t829)) % 16.13/16.32 (define @t833 () (or @t830 @t830)) % 16.13/16.32 (define @t834 () (forall @t832 @t830)) % 16.13/16.32 (define @t835 () (or @t556 @t834)) % 16.13/16.32 (define @t836 () (or @t556 @t830)) % 16.13/16.32 (define @t837 () (or @t830 @t556)) % 16.13/16.32 (define @t838 () (or @t831 @t556)) % 16.13/16.32 (define @t839 () (forall @t832 @t838)) % 16.13/16.32 (define @t840 () (or @t803 (= @t726 tptp.v_y) @t732)) % 16.13/16.32 (define @t841 () (forall @t734 @t840)) % 16.13/16.32 (define @t842 () (@var "BOUND_VARIABLE_12986" $$unsorted)) % 16.13/16.32 (define @t843 () (not (= tptp.v_y @t842))) % 16.13/16.32 (define @t844 () (not (= @t842 tptp.v_y))) % 16.13/16.32 (define @t845 () (@list @t842)) % 16.13/16.32 (define @t846 () (or @t843 @t843)) % 16.13/16.32 (define @t847 () (forall @t845 @t843)) % 16.13/16.32 (define @t848 () (or @t804 @t847)) % 16.13/16.32 (define @t849 () (or @t804 @t844)) % 16.13/16.32 (define @t850 () (forall @t845 @t849)) % 16.13/16.32 (define @t851 () (or @t559 @t556)) % 16.13/16.32 (define @t852 () (forall @t82 @t851)) % 16.13/16.32 (define @t853 () (or @t605 @t557 @t558)) % 16.13/16.32 (define @t854 () (forall @t82 @t853)) % 16.13/16.32 (define @t855 () (or @t804 @t559)) % 16.13/16.32 (define @t856 () (forall @t82 @t855)) % 16.13/16.32 (define @t857 () (and @t856 @t854 @t852)) % 16.13/16.32 (define @t858 () (or @t605 @t557)) % 16.13/16.32 (define @t859 () (not @t559)) % 16.13/16.32 (define @t860 () (not @t560)) % 16.13/16.32 (define @t861 () (@var "BOUND_VARIABLE_12946" $$unsorted)) % 16.13/16.32 (define @t862 () (not (= tptp.v_y @t861))) % 16.13/16.32 (define @t863 () (not (= @t861 tptp.v_y))) % 16.13/16.32 (define @t864 () (@list @t861)) % 16.13/16.32 (define @t865 () (or @t862 @t862)) % 16.13/16.32 (define @t866 () (forall @t864 @t862)) % 16.13/16.32 (define @t867 () (or @t556 @t552 @t549 @t866)) % 16.13/16.32 (define @t868 () (or @t556 @t552 @t549 @t862)) % 16.13/16.32 (define @t869 () (or @t862 @t556 @t552 @t549)) % 16.13/16.32 (define @t870 () (or @t863 @t556 @t552 @t549)) % 16.13/16.32 (define @t871 () (forall @t864 @t870)) % 16.13/16.32 (define @t872 () (or @t817 (= @t787 tptp.v_y) @t816)) % 16.13/16.32 (define @t873 () (forall @t794 @t872)) % 16.13/16.32 (define @t874 () (@var "BOUND_VARIABLE_12928" $$unsorted)) % 16.13/16.32 (define @t875 () (not (= tptp.v_y @t874))) % 16.13/16.32 (define @t876 () (not (= @t874 tptp.v_y))) % 16.13/16.32 (define @t877 () (@list @t874)) % 16.13/16.32 (define @t878 () (or @t875 @t875)) % 16.13/16.32 (define @t879 () (forall @t877 @t875)) % 16.13/16.32 (define @t880 () (or @t804 @t552 @t549 @t879)) % 16.13/16.32 (define @t881 () (or @t804 @t552 @t549 @t875)) % 16.13/16.32 (define @t882 () (or @t804 @t875 @t552 @t549)) % 16.13/16.32 (define @t883 () (or @t804 @t876 @t552 @t549)) % 16.13/16.32 (define @t884 () (forall @t877 @t883)) % 16.13/16.32 (define @t885 () (or @t559 @t556 @t552 @t549)) % 16.13/16.32 (define @t886 () (forall @t82 @t885)) % 16.13/16.32 (define @t887 () (or @t605 @t557 @t532)) % 16.13/16.32 (define @t888 () (forall @t82 @t887)) % 16.13/16.32 (define @t889 () (or @t804 @t559 @t552 @t549)) % 16.13/16.32 (define @t890 () (forall @t82 @t889)) % 16.13/16.32 (define @t891 () (and @t890 @t888 @t886)) % 16.13/16.32 (define @t892 () (not @t720)) % 16.13/16.32 (define @t893 () (@quantifiers_skolemize @t720 0)) % 16.13/16.32 (define @t894 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t893 tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t895 () (not @t894)) % 16.13/16.32 (define @t896 () (@quantifiers_skolemize @t720 1)) % 16.13/16.32 (define @t897 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t896) tptp.v_L)) % 16.13/16.32 (define @t898 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t893 @t896) tptp.v_L)) % 16.13/16.32 (define @t899 () (not @t898)) % 16.13/16.32 (define @t900 () (or @t899 (= tptp.v_y @t896) @t897)) % 16.13/16.32 (define @t901 () (= tptp.v_x @t893)) % 16.13/16.32 (define @t902 () (not @t901)) % 16.13/16.32 (define @t903 () (and @t902 @t900 @t895)) % 16.13/16.32 (define @t904 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x @t893)) % 16.13/16.32 (define @t905 () (tptp.c_member @t21 @t904 tptp.v_L)) % 16.13/16.32 (define @t906 () (not @t905)) % 16.13/16.32 (define @t907 () (or @t906 (= tptp.v_y @t893) @t903)) % 16.13/16.32 (define @t908 () (not @t907)) % 16.13/16.32 (define @t909 () (@list true)) % 16.13/16.32 (define @t910 () (@list @t907)) % 16.13/16.32 (define @t911 () (or @t906 @t899 @t897)) % 16.13/16.32 (define @t912 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_x tptp.v_x) tptp.v_L)) % 16.13/16.32 (define @t913 () (or @t906 @t895 @t912)) % 16.13/16.32 (define @t914 () (not @t900)) % 16.13/16.32 (define @t915 () (not @t912)) % 16.13/16.32 (define @t916 () (and @t915 @t901 @t905)) % 16.13/16.32 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 16.13/16.32 (assume @p2 (forall (@list @t8 @t9 @t7 @t11) (=> @t16 (=> @t15 (not @t13))))) % 16.13/16.32 (assume @p3 (forall @t30 (= (tptp.c_member @t21 @t20 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t17 @t23)) (and @t29 (=> @t24 @t27) (=> @t25 @t22))))) % 16.13/16.32 (assume @p4 (forall @t30 (= (tptp.c_member @t21 @t20 (tptp.c_Arrow__Order__Mirabelle_Omktop @t17 @t23)) (and @t25 (=> @t28 @t27) (=> @t29 @t22))))) % 16.13/16.32 (assume @p5 (forall (@list @t18 @t19 @t31 @t32 @t9) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t9 @t32 @t31) @t19) @t18)) (tptp.c_member @t34 @t33 @t31)))) % 16.13/16.32 (assume @p6 (forall (@list @t9 @t31 @t18 @t37 @t32 @t19 @t35) (=> @t40 (=> (tptp.c_member @t39 (tptp.c_Product__Type_OPair @t32 @t32 @t37 @t18) (tptp.hAPP @t31 @t19)) (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t37) @t33) @t36))))) % 16.13/16.32 (assume @p7 (forall @t45 (= (tptp.c_Nitpick_Orefl_H @t9 @t41) (forall @t6 @t44)))) % 16.13/16.32 (assume @p8 (forall (@list @t32 @t9 @t35) (= (forall (@list @t50) (tptp.hBOOL (tptp.hAPP @t35 @t50))) (forall @t49 (tptp.hBOOL (tptp.hAPP @t35 @t48)))))) % 16.13/16.32 (assume @p9 (forall (@list @t51 @t53 @t52 @t54 @t32 @t9) (= (= @t57 @t56) (and @t55 (= @t52 @t51))))) % 16.13/16.32 (assume @p10 (forall (@list @t58 @t60 @t59 @t61 @t32 @t9) (=> (= (tptp.c_Product__Type_OPair @t9 @t32 @t61 @t59) (tptp.c_Product__Type_OPair @t9 @t32 @t60 @t58)) (not (=> (= @t61 @t60) (not (= @t59 @t58))))))) % 16.13/16.32 (assume @p11 (forall @t65 (= @t64 @t63))) % 16.13/16.32 (assume @p12 (forall @t69 (=> @t68 (=> @t67 @t66)))) % 16.13/16.32 (assume @p13 (forall (@list @t11 @t9 @t18 @t19) (=> @t26 (= @t64 @t70)))) % 16.13/16.32 (assume @p14 (forall (@list @t19 @t9 @t7 @t11) (=> @t16 (= @t64 @t71)))) % 16.13/16.32 (assume @p15 (forall (@list @t52 @t54 @t72 @t9 @t73 @t32) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t32 @t73 @t9 @t72 @t74) (tptp.hAPP (tptp.hAPP @t72 @t54) @t52)))) % 16.13/16.32 (assume @p16 (forall (@list @t75 @t41 @t51 @t53 @t52 @t54 @t32 @t9) (= (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t57 @t56) (tptp.c_Wellfounded_Olex__prod @t9 @t32 @t41 @t75)) (or (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t53) @t41) (and @t55 (tptp.c_member @t39 (tptp.c_Product__Type_OPair @t32 @t32 @t52 @t51) @t75)))))) % 16.13/16.32 (assume @p17 (forall (@list @t52 @t54 @t8 @t9 @t73 @t32) (= (tptp.c_Product__Type_Ointernal__split @t32 @t73 @t9 @t8 @t74) (tptp.hAPP (tptp.hAPP @t8 @t54) @t52)))) % 16.13/16.32 (assume @p18 (forall (@list @t52 @t54 @t17) (=> @t77 (=> (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t54 @t52) @t17) (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t52 @t54) @t17)))))) % 16.13/16.32 (assume @p19 (forall (@list @t18 @t19 @t17) (=> @t77 (=> @t27 (= (not @t22) (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t18 @t19) @t17)))))) % 16.13/16.32 (assume @p20 (forall @t88 (= (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t81 @t86) (exists @t87 (and (= @t86 @t84) @t83))))) % 16.13/16.32 (assume @p21 (forall (@list @t52 @t54 @t32 @t9 @t2) (=> @t90 @t89))) % 16.13/16.32 (assume @p22 (forall (@list @t2 @t32 @t41 @t54 @t19 @t9) (=> @t94 (= (tptp.hAPP @t92 @t19) @t91)))) % 16.13/16.32 (assume @p23 (forall (@list @t1 @t19 @t41 @t2 @t32 @t9) (= (= (tptp.c_Recdef_Ocut @t9 @t32 @t2 @t41 @t19) (tptp.c_Recdef_Ocut @t9 @t32 @t1 @t41 @t19)) (forall @t97 (=> @t96 (= (tptp.hAPP @t2 @t95) (tptp.hAPP @t1 @t95))))))) % 16.13/16.32 (assume @p24 (forall (@list @t32 @t54 @t19 @t9 @t98 @t99) (=> (tptp.c_member @t43 @t93 @t99) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t9 @t32 @t98 @t99 @t54) @t19) (tptp.hAPP @t98 @t19))))) % 16.13/16.32 (assume @p25 (forall @t100 (=> @t77 (tptp.c_member @t76 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t17 @t19) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 16.13/16.32 (assume @p26 (forall (@list @t52 @t54 @t2 @t32 @t9) (=> @t89 @t90))) % 16.13/16.32 (assume @p27 (forall (@list @t52 @t54 @t2 @t9 @t73 @t32) (= (tptp.c_Product__Type_Ocurry @t32 @t73 @t9 @t2 @t54 @t52) (tptp.hAPP @t2 @t74)))) % 16.13/16.32 (assume @p28 (forall @t100 (=> @t77 (tptp.c_member @t76 (tptp.c_Arrow__Order__Mirabelle_Omktop @t17 @t19) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 16.13/16.32 (assume @p29 (forall @t105 (=> @t104 (=> @t77 (= (tptp.c_member @t21 @t20 (tptp.c_Arrow__Order__Mirabelle_Oabove @t17 @t54 @t52)) (and @t27 (=> @t103 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t54 @t18) @t17)) (=> (not @t103) (and (=> @t101 (or @t102 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t19 @t54) @t17))) (=> (not @t101) @t22))))))))) % 16.13/16.32 (assume @p30 (forall @t105 (=> @t104 (=> @t77 (= (tptp.c_member @t21 @t20 (tptp.c_Arrow__Order__Mirabelle_Obelow @t17 @t54 @t52)) (and @t27 (=> @t106 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t19 @t52) @t17)) (=> (not @t106) (and (=> @t102 (or @t101 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t52 @t18) @t17))) (=> (not @t102) @t22))))))))) % 16.13/16.32 (assume @p31 (forall (@list @t17 @t18 @t19) (=> @t27 (=> @t77 (tptp.c_member @t76 (tptp.c_Arrow__Order__Mirabelle_Obelow @t17 @t19 @t18) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 16.13/16.32 (assume @p32 (forall @t88 (= (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t81 @t85) (exists @t87 (and (= @t85 @t84) @t83))))) % 16.13/16.32 (assume @p33 (forall (@list @t1 @t80 @t32 @t31 @t19 @t9) (=> (forall @t82 (=> @t107 (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t78 (tptp.hAPP @t1 @t78)))) (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t19 (tptp.hAPP (tptp.hAPP @t80 @t1) @t19))))) % 16.13/16.32 (assume @p34 (forall @t111 (= @t110 (forall @t6 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t54) @t41) @t109))))) % 16.13/16.32 (assume @p35 (forall (@list @t54 @t41 @t52 @t9) (=> @t114 (=> @t113 @t110)))) % 16.13/16.32 (assume @p36 (exists (@list @t115) (tptp.c_member @t76 @t115 tptp.c_Arrow__Order__Mirabelle_OLin))) % 16.13/16.32 (assume @p37 (forall (@list @t19 @t80 @t31 @t9 @t32) (= (tptp.c_Nitpick_Owf__wfrec_H @t32 @t9 @t31 @t80 @t19) (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Recdef_Ocut @t32 @t9 (tptp.c_Nitpick_Owf__wfrec @t32 @t9 @t31 @t80) @t31 @t19)) @t19)))) % 16.13/16.32 (assume @p38 (forall @t116 (= (tptp.c_member @t9 @t19 (tptp.c_fequal @t18)) @t26))) % 16.13/16.32 (assume @p39 (forall (@list @t31 @t19 @t9) (=> (not (tptp.c_member @t9 @t19 @t117)) (not (forall @t82 (=> @t107 (tptp.c_member @t9 @t78 @t117))))))) % 16.13/16.32 (assume @p40 (forall (@list @t41 @t19 @t9) (=> (forall @t97 (=> @t96 (tptp.c_member @t9 @t95 @t108))) @t118))) % 16.13/16.32 (assume @p41 (forall (@list @t41 @t54 @t52 @t9) (=> @t121 (=> @t110 @t114)))) % 16.13/16.32 (assume @p42 (forall (@list @t52 @t41 @t54 @t9) (=> @t110 (=> @t121 @t114)))) % 16.13/16.32 (assume @p43 (forall (@list @t7 @t52 @t32 @t11 @t54 @t9) (=> @t66 (=> @t124 @t123)))) % 16.13/16.32 (assume @p44 (forall @t45 (= @t125 (forall @t6 (not @t44))))) % 16.13/16.32 (assume @p45 (forall @t127 (=> @t126 (tptp.c_member @t32 @t52 (tptp.c_Relation_ORange @t9 @t32 @t41))))) % 16.13/16.32 (assume @p46 (forall @t130 (= (tptp.c_member @t43 @t129 @t128) (and @t26 @t64)))) % 16.13/16.32 (assume @p47 (forall @t69 (=> @t68 (=> @t66 (tptp.c_member @t43 @t112 @t128))))) % 16.13/16.32 (assume @p48 (forall (@list @t17) (= (tptp.c_member @t76 (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t17) tptp.c_Arrow__Order__Mirabelle_OLin) @t77))) % 16.13/16.32 (assume @p49 (forall @t131 (= (tptp.c_Relation_Oconverse @t9 @t9 @t128) @t128))) % 16.13/16.32 (assume @p50 (forall @t133 (= (tptp.c_Relation_Oconverse @t32 @t9 @t132) @t41))) % 16.13/16.32 (assume @p51 (forall @t131 (= (tptp.c_Relation_ORange @t9 @t9 @t128) @t11))) % 16.13/16.32 (assume @p52 (forall @t127 (= @t138 @t136))) % 16.13/16.32 (assume @p53 (forall @t127 (=> @t126 (tptp.c_member @t135 @t134 @t132)))) % 16.13/16.32 (assume @p54 (forall @t127 (=> @t138 @t136))) % 16.13/16.32 (assume @p55 (forall @t140 (= (tptp.c_member @t9 @t54 @t139) (exists @t97 (tptp.c_member @t135 (tptp.c_Product__Type_OPair @t32 @t9 @t95 @t54) @t41))))) % 16.13/16.32 (assume @p56 (forall @t141 (= @t123 (and @t66 @t124)))) % 16.13/16.32 (assume @p57 (forall @t141 (=> @t123 @t66))) % 16.13/16.32 (assume @p58 (forall @t141 (=> @t123 @t124))) % 16.13/16.32 (assume @p59 (forall @t141 (=> @t123 (not (=> @t66 (not @t124)))))) % 16.13/16.32 (assume @p60 (forall @t111 (tptp.c_member @t43 @t142 @t119))) % 16.13/16.32 (assume @p61 (forall @t145 (=> @t144 (tptp.c_member @t43 @t143 @t119)))) % 16.13/16.32 (assume @p62 (forall @t151 (=> @t150 @t148))) % 16.13/16.32 (assume @p63 (forall @t152 (=> @t148 @t150))) % 16.13/16.32 (assume @p64 (forall @t158 (=> @t113 @t157))) % 16.13/16.32 (assume @p65 (forall @t158 (=> @t160 (=> @t159 @t154)))) % 16.13/16.32 (assume @p66 (forall @t158 (=> @t160 @t157))) % 16.13/16.32 (assume @p67 (forall @t45 (= @t147 (tptp.c_Relation_Oconverse @t9 @t9 @t119)))) % 16.13/16.32 (assume @p68 (forall (@list @t11 @t8 @t9) (=> (tptp.c_member @t43 @t8 @t128) (not (forall @t6 (=> @t161 (not (= @t8 @t42)))))))) % 16.13/16.32 (assume @p69 (forall @t45 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t119) @t119))) % 16.13/16.32 (assume @p70 (forall (@list @t41 @t32 @t52 @t9) (=> (tptp.c_member @t9 @t52 @t139) (not (forall @t6 (not @t162)))))) % 16.13/16.32 (assume @p71 (forall (@list @t7 @t11 @t8 @t32 @t9) (=> (tptp.c_member @t34 @t8 @t122) (not (forall @t6 (=> @t161 (forall @t97 (=> (tptp.c_member @t32 @t95 (tptp.hAPP @t7 @t3)) (not (= @t8 @t163)))))))))) % 16.13/16.32 (assume @p72 (forall (@list @t23 @t18 @t19 @t41 @t9) (=> (tptp.c_Relation_Osingle__valued @t9 @t9 @t41) (=> @t167 (=> @t166 (or (tptp.c_member @t43 @t164 @t119) (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t23 @t18) @t119))))))) % 16.13/16.32 (assume @p73 (forall (@list @t41 @t168 @t32 @t9) (=> (tptp.c_member @t34 @t168 @t137) (not (forall @t169 (=> (= @t168 (tptp.c_Product__Type_OPair @t9 @t32 @t95 @t3)) (not (tptp.c_member @t135 (tptp.c_Product__Type_OPair @t32 @t9 @t3 @t95) @t41)))))))) % 16.13/16.32 (assume @p74 (forall (@list @t18 @t31 @t19 @t9) (=> (not (tptp.c_member @t9 @t19 (tptp.c_Relation_ODomain @t9 @t9 @t31))) (= @t171 @t26)))) % 16.13/16.32 (assume @p75 (forall @t127 (=> @t126 @t173))) % 16.13/16.32 (assume @p76 (forall @t190 (=> @t189 (=> @t187 (=> (forall @t49 (=> (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t186 @t48) @t183) (forall (@list @t178 @t177) (=> @t182 (=> @t180 @t179))))) @t176))))) % 16.13/16.32 (assume @p77 (forall @t190 (=> @t189 (=> @t176 (=> (forall (@list @t47 @t46 @t178 @t177) (=> @t182 (=> (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t181 @t188) @t183) (=> @t179 @t180)))) @t187))))) % 16.13/16.32 (assume @p78 (forall (@list @t41 @t191 @t192 @t194 @t19 @t32 @t9) (=> (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t195 @t193) @t183) (=> (not (= @t195 @t193)) (not (forall @t49 (=> (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t195 @t48) @t41) (not (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t48 @t193) @t183))))))))) % 16.13/16.32 (assume @p79 (forall @t131 (= (tptp.c_Relation_ODomain @t9 @t9 @t128) @t11))) % 16.13/16.32 (assume @p80 (forall @t131 (tptp.c_Relation_Osingle__valued @t9 @t9 @t128))) % 16.13/16.32 (assume @p81 (forall @t133 (= @t139 @t196))) % 16.13/16.32 (assume @p82 (forall @t197 (= @t196 @t139))) % 16.13/16.32 (assume @p83 (forall @t133 (= (tptp.c_Relation_ORange @t32 @t9 @t132) @t172))) % 16.13/16.32 (assume @p84 (forall @t197 (= @t199 @t198))) % 16.13/16.32 (assume @p85 (forall (@list @t23 @t18 @t19 @t41 @t32 @t9) (=> @t199 (=> (tptp.c_member @t34 @t33 @t41) (=> (tptp.c_member @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t23) @t41) @t28))))) % 16.13/16.32 (assume @p86 (forall @t140 (= @t173 (exists @t97 @t200)))) % 16.13/16.32 (assume @p87 (forall @t140 (=> @t173 (not (forall @t97 (not @t200)))))) % 16.13/16.32 (assume @p88 (forall @t197 (=> @t198 @t199))) % 16.13/16.32 (assume @p89 (forall @t207 (=> @t160 (=> @t206 (=> (forall @t97 (=> @t205 (forall @t82 (=> @t204 (=> @t203 @t202))))) @t201))))) % 16.13/16.32 (assume @p90 (forall @t207 (=> @t160 (=> @t201 (=> (forall (@list @t95 @t78) (=> @t204 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t52) @t119) (=> @t202 @t203)))) @t206))))) % 16.13/16.32 (assume @p91 (forall @t210 (=> @t166 (=> @t25 (not (forall @t97 (=> @t209 (not (tptp.c_member @t43 @t208 @t119))))))))) % 16.13/16.32 (assume @p92 (forall @t211 (=> @t160 (=> @t104 (not (forall @t97 (=> @t205 (not (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t95 @t52) @t41))))))))) % 16.13/16.32 (assume @p93 (forall @t216 (= @t215 (forall @t6 (=> @t161 (forall @t214 (=> (tptp.c_member @t9 @t212 @t11) (=> (not (= @t3 @t212)) (or (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t212) @t41) @t213))))))))) % 16.13/16.32 (assume @p94 (forall (@list @t2 @t41 @t32 @t18 @t19 @t9) (= (tptp.c_member @t43 @t129 (tptp.hAPP (tptp.c_Relation_Oinv__image @t32 @t9 @t41) @t2)) (tptp.c_member @t39 (tptp.c_Product__Type_OPair @t32 @t32 @t91 @t217) @t41)))) % 16.13/16.32 (assume @p95 (forall (@list @t2 @t31 @t32 @t9) (= (tptp.c_Relation_Oconverse @t9 @t9 (tptp.hAPP (tptp.c_Relation_Oinv__image @t32 @t9 @t31) @t2)) (tptp.hAPP (tptp.c_Relation_Oinv__image @t32 @t9 (tptp.c_Relation_Oconverse @t32 @t32 @t31)) @t2)))) % 16.13/16.32 (assume @p96 (forall @t216 (= (tptp.c_Relation_Ototal__on @t9 @t11 @t146) @t215))) % 16.13/16.32 (assume @p97 (forall @t220 (=> @t219 (=> @t218 @t70)))) % 16.13/16.32 (assume @p98 (forall @t220 (=> @t219 (=> @t218 @t64)))) % 16.13/16.32 (assume @p99 (forall (@list @t54 @t41 @t11 @t9) (=> @t219 (=> @t66 @t221)))) % 16.13/16.32 (assume @p100 (forall @t211 (=> @t223 @t160))) % 16.13/16.32 (assume @p101 (forall @t225 (tptp.c_member @t43 @t142 @t224))) % 16.13/16.32 (assume @p102 (forall @t228 (=> @t227 (=> @t113 (=> @t226 @t68))))) % 16.13/16.32 (assume @p103 (forall @t45 (= @t227 @t234))) % 16.13/16.32 (assume @p104 (forall @t152 (=> @t238 @t236))) % 16.13/16.32 (assume @p105 (forall @t211 (=> @t113 @t223))) % 16.13/16.32 (assume @p106 (forall @t239 (tptp.c_Relation_Oantisym @t9 @t224))) % 16.13/16.32 (assume @p107 (forall @t145 (=> @t144 @t240))) % 16.13/16.32 (assume @p108 (forall @t242 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t241) @t170))) % 16.13/16.32 (assume @p109 (forall @t242 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t170) @t170))) % 16.13/16.32 (assume @p110 (forall @t45 (= @t237 @t235))) % 16.13/16.32 (assume @p111 (forall @t45 (= (tptp.c_Relation_ODomain @t9 @t9 @t222) @t243))) % 16.13/16.32 (assume @p112 (forall @t45 (= (tptp.c_Relation_ORange @t9 @t9 @t222) @t244))) % 16.13/16.32 (assume @p113 (forall @t216 (= (tptp.c_Relation_Orefl__on @t9 @t11 @t146) @t219))) % 16.13/16.32 (assume @p114 (forall @t239 (= (tptp.c_Relation_Oconverse @t9 @t9 @t224) @t224))) % 16.13/16.32 (assume @p115 (forall @t131 (tptp.c_Relation_Orefl__on @t9 @t11 @t128))) % 16.13/16.32 (assume @p116 (forall @t239 (tptp.c_Relation_Osingle__valued @t9 @t9 @t224))) % 16.13/16.32 (assume @p117 (forall @t45 (= (tptp.c_Relation_Oantisym @t9 @t146) @t227))) % 16.13/16.32 (assume @p118 (forall (@list @t8 @t31 @t52 @t54 @t9) (=> (tptp.c_member @t43 @t112 @t31) (=> (tptp.c_member @t43 @t155 @t31) (tptp.c_member @t43 @t153 @t241))))) % 16.13/16.32 (assume @p119 (forall @t158 (=> @t113 @t246))) % 16.13/16.32 (assume @p120 (forall @t158 (=> @t223 @t247))) % 16.13/16.32 (assume @p121 (forall @t158 (=> @t223 @t246))) % 16.13/16.32 (assume @p122 (forall @t131 (tptp.c_Relation_Oantisym @t9 @t128))) % 16.13/16.32 (assume @p123 (forall @t248 (= (tptp.c_member @t43 @t112 @t224) @t68))) % 16.13/16.32 (assume @p124 (forall @t250 (= @t171 (or @t26 (and @t27 @t249))))) % 16.13/16.32 (assume @p125 (forall @t158 (=> @t113 @t251))) % 16.13/16.32 (assume @p126 (forall (@list @t31 @t52 @t54 @t9) (=> (tptp.c_member @t43 @t112 @t170) (or @t68 (and @t104 (tptp.c_member @t43 @t112 @t241)))))) % 16.13/16.32 (assume @p127 (forall @t158 (=> @t160 @t247))) % 16.13/16.32 (assume @p128 (forall @t158 (=> @t223 @t251))) % 16.13/16.32 (assume @p129 (forall (@list @t23 @t41 @t18 @t19 @t9) (=> @t167 (=> (tptp.c_member @t43 @t164 @t222) @t252)))) % 16.13/16.32 (assume @p130 (forall @t152 (=> @t236 @t238))) % 16.13/16.32 (assume @p131 (forall @t250 (=> @t249 (exists @t82 (and (tptp.c_member @t43 @t254 @t170) (tptp.c_member @t43 @t253 @t31)))))) % 16.13/16.32 (assume @p132 (forall @t250 (=> @t249 (exists @t82 (and (tptp.c_member @t43 @t254 @t31) (tptp.c_member @t43 @t253 @t170)))))) % 16.13/16.32 (assume @p133 (forall (@list @t143 @t9) (=> (tptp.c_member @t43 @t143 @t224) (not (forall @t6 (not (= @t143 @t42))))))) % 16.13/16.32 (assume @p134 (forall @t45 (= @t256 @t255))) % 16.13/16.32 (assume @p135 (forall @t45 (=> @t234 @t227))) % 16.13/16.32 (assume @p136 (forall (@list @t18 @t19 @t41 @t9) (=> @t255 (=> @t218 @t27)))) % 16.13/16.32 (assume @p137 (forall @t210 (=> @t252 (=> (not (tptp.c_member @t43 @t165 @t41)) (not (forall @t97 (=> @t209 (not (tptp.c_member @t43 @t208 @t222))))))))) % 16.13/16.32 (assume @p138 (forall @t45 (= (tptp.c_Wellfounded_Oacyclic @t9 @t146) @t256))) % 16.13/16.32 (assume @p139 (forall @t45 (=> @t256 (tptp.c_Relation_Oantisym @t9 @t119)))) % 16.13/16.32 (assume @p140 (forall @t45 (=> @t255 @t256))) % 16.13/16.32 (assume @p141 (forall @t151 (= (tptp.c_Wellfounded_Oacyclic @t9 @t258) (and @t256 @t257)))) % 16.13/16.32 (assume @p142 (forall @t211 (=> @t223 (=> (not @t113) (not (forall (@list @t259) (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t259) @t222) (not (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t259 @t52) @t41))))))))) % 16.13/16.32 (assume @p143 (forall @t45 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t222 @t224) @t119))) % 16.13/16.32 (assume @p144 (forall @t45 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t261) @t119))) % 16.13/16.32 (assume @p145 (forall @t45 (tptp.c_Relation_Oirrefl @t9 @t262))) % 16.13/16.32 (assume @p146 (forall @t268 (=> @t267 (=> (not @t63) @t264)))) % 16.13/16.32 (assume @p147 (forall (@list @t9 @t11 @t19 @t7) (=> (=> @t269 @t63) @t267))) % 16.13/16.32 (assume @p148 (forall @t271 (=> @t270 (=> @t104 @t66)))) % 16.13/16.32 (assume @p149 (forall @t275 (=> (=> (not @t274) @t68) @t273))) % 16.13/16.32 (assume @p150 (forall @t277 (=> @t276 @t13))) % 16.13/16.32 (assume @p151 (forall @t278 (=> (=> @t14 @t12) @t276))) % 16.13/16.32 (assume @p152 (forall @t277 (=> @t12 (=> @t14 @t280)))) % 16.13/16.32 (assume @p153 (forall @t277 (=> @t280 (not @t281)))) % 16.13/16.32 (assume @p154 (forall (@list @t7 @t11 @t9 @t32) (= (tptp.c_Relation_ORange @t32 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t284 @t11 @t7)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t283 @t282)))) % 16.13/16.32 (assume @p155 (forall (@list @t7 @t9 @t19 @t11) (=> @t63 @t267))) % 16.13/16.32 (assume @p156 (forall (@list @t11 @t9 @t19 @t7) (=> @t264 @t267))) % 16.13/16.32 (assume @p157 (forall @t131 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t11) @t11))) % 16.13/16.32 (assume @p158 (forall @t286 (= @t266 @t285))) % 16.13/16.32 (assume @p159 (forall @t65 (= (tptp.c_Set_Oinsert @t9 @t19 @t287) @t287))) % 16.13/16.32 (assume @p160 (forall @t286 (= @t289 @t266))) % 16.13/16.32 (assume @p161 (forall @t286 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t266) @t266))) % 16.13/16.32 (assume @p162 (forall @t130 (= (tptp.c_Set_Oinsert @t9 @t19 @t290) (tptp.c_Set_Oinsert @t9 @t18 @t287)))) % 16.13/16.32 (assume @p163 (forall @t292 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t291) (tptp.c_Set_Oinsert @t9 @t54 @t266)))) % 16.13/16.32 (assume @p164 (forall @t296 (= @t295 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t293))))) % 16.13/16.32 (assume @p165 (forall @t286 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t279 @t7) @t279))) % 16.13/16.32 (assume @p166 (forall @t297 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t288 @t11) @t285))) % 16.13/16.32 (assume @p167 (forall (@list @t293 @t7 @t54 @t9) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t291 @t293) (tptp.c_Set_Oinsert @t9 @t54 @t294)))) % 16.13/16.32 (assume @p168 (forall @t296 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t266 @t293) @t295))) % 16.13/16.32 (assume @p169 (forall @t296 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t266 @t293) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t293) (tptp.c_Groups_Ominus__class_Ominus @t265 @t7 @t293))))) % 16.13/16.32 (assume @p170 (forall @t301 (= (exists @t6 (and @t300 @t298)) (or (exists @t6 (and @t161 @t298)) (exists @t6 (and @t299 @t298)))))) % 16.13/16.32 (assume @p171 (forall @t301 (= (forall @t6 (=> @t300 @t298)) (and (forall @t6 (=> @t161 @t298)) (forall @t6 (=> @t299 @t298)))))) % 16.13/16.32 (assume @p172 (forall (@list @t19 @t11 @t18 @t9) (= (tptp.hBOOL (tptp.hAPP @t290 @t19)) (or (= @t18 @t19) @t63)))) % 16.13/16.32 (assume @p173 (forall @t305 (and @t304 (=> @t303 (= @t302 (tptp.c_Set_Oinsert @t9 @t19 @t279)))))) % 16.13/16.32 (assume @p174 (forall @t305 @t304)) % 16.13/16.32 (assume @p175 (forall @t309 (= (tptp.c_Relation_ODomain @t9 @t32 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t308 @t11 @t7)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t307 @t306)))) % 16.13/16.32 (assume @p176 (forall (@list @t75 @t7 @t41 @t11 @t9) (=> @t219 (=> (tptp.c_Relation_Orefl__on @t9 @t7 @t75) (tptp.c_Relation_Orefl__on @t9 @t266 @t310))))) % 16.13/16.32 (assume @p177 (forall @t127 (= (tptp.c_Relation_ODomain @t9 @t32 (tptp.c_Set_Oinsert @t34 @t57 @t41)) (tptp.c_Set_Oinsert @t9 @t54 @t172)))) % 16.13/16.32 (assume @p178 (forall (@list @t41 @t52 @t54 @t9 @t32) (= (tptp.c_Relation_ORange @t32 @t9 (tptp.c_Set_Oinsert @t135 @t311 @t41)) (tptp.c_Set_Oinsert @t9 @t52 @t139)))) % 16.13/16.32 (assume @p179 (forall @t277 (= @t280 (and @t12 @t14)))) % 16.13/16.32 (assume @p180 (forall @t277 (=> @t280 @t12))) % 16.13/16.32 (assume @p181 (forall @t277 (=> @t280 @t14))) % 16.13/16.32 (assume @p182 (forall @t277 (= @t276 (or @t12 @t10)))) % 16.13/16.32 (assume @p183 (forall @t277 (=> @t12 @t276))) % 16.13/16.32 (assume @p184 (forall @t278 (=> @t10 @t276))) % 16.13/16.32 (assume @p185 (forall (@list @t7 @t54 @t9) (tptp.c_member @t9 @t54 @t291))) % 16.13/16.32 (assume @p186 (forall @t271 (= @t270 (or @t68 @t66)))) % 16.13/16.32 (assume @p187 (forall @t314 (=> @t313 (=> @t303 (= (= @t287 @t312) @t16))))) % 16.13/16.32 (assume @p188 (forall @t275 (=> @t274 @t273))) % 16.13/16.32 (assume @p189 (forall @t316 (=> @t66 (= @t315 @t11)))) % 16.13/16.32 (assume @p190 (forall @t321 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t320) @t318))) % 16.13/16.32 (assume @p191 (forall (@list @t75 @t41 @t9 @t32) (= (tptp.c_Relation_Oconverse @t32 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t284 @t41 @t75)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t308 @t137 (tptp.c_Relation_Oconverse @t32 @t9 @t75))))) % 16.13/16.32 (assume @p192 (forall (@list @t317 @t31 @t19 @t9) (=> (or (tptp.c_member @t43 @t19 @t170) (tptp.c_member @t43 @t19 @t319)) (tptp.c_member @t43 @t19 @t318)))) % 16.13/16.32 (assume @p193 (forall @t45 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t262) @t119))) % 16.13/16.32 (assume @p194 (forall @t242 (= (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t31 @t224)) @t170))) % 16.13/16.32 (assume @p195 (forall @t242 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t170 @t224) @t170))) % 16.13/16.32 (assume @p196 (forall @t45 (= (tptp.c_Relation_Oantisym @t9 @t261) @t227))) % 16.13/16.32 (assume @p197 (forall @t216 (= (tptp.c_Relation_Ototal__on @t9 @t11 @t262) @t215))) % 16.13/16.32 (assume @p198 (forall (@list @t19 @t7 @t11 @t32 @t9) (=> (tptp.class_Groups_Ominus @t9) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t322 @t11 @t7) @t19) (tptp.c_Groups_Ominus__class_Ominus @t9 @t62 @t263))))) % 16.13/16.32 (assume @p199 (forall (@list @t19 @t1 @t2 @t32 @t9) (=> @t324 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t322 @t2 @t1) @t19) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t91 @t323))))) % 16.13/16.32 (assume @p200 (forall @t329 (=> @t328 (=> (forall @t6 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t52) @t325) (forall @t97 (=> (tptp.c_member @t43 @t230 @t327) (= @t95 @t3))))) @t326)))) % 16.13/16.32 (assume @p201 (forall @t329 (=> @t328 (=> (forall @t6 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t3) @t325) (forall @t97 (=> (tptp.c_member @t43 @t232 @t327) @t229)))) @t326)))) % 16.13/16.32 (assume @p202 (forall @t45 (=> @t330 (=> @t227 (tptp.c_Relation_Otrans @t9 @t262))))) % 16.13/16.32 (assume @p203 (forall @t151 (= (tptp.c_Wellfounded_Owf @t9 @t258) (and @t331 @t257)))) % 16.13/16.32 (assume @p204 (forall @t333 (=> @t331 (tptp.c_Wellfounded_Owf @t32 @t332)))) % 16.13/16.32 (assume @p205 (forall (@list @t334 @t32 @t335 @t9) (=> (tptp.c_Wellfounded_Owf @t9 @t335) (=> (tptp.c_Wellfounded_Owf @t32 @t334) (tptp.c_Wellfounded_Owf @t34 (tptp.c_Wellfounded_Olex__prod @t9 @t32 @t335 @t334)))))) % 16.13/16.32 (assume @p206 (forall (@list @t336 @t32 @t337 @t9) (=> (tptp.c_Relation_Otrans @t9 @t337) (=> (tptp.c_Relation_Otrans @t32 @t336) (tptp.c_Relation_Otrans @t34 (tptp.c_Wellfounded_Olex__prod @t9 @t32 @t337 @t336)))))) % 16.13/16.32 (assume @p207 (forall @t45 (=> @t331 (tptp.c_Wellfounded_Owf @t9 @t222)))) % 16.13/16.32 (assume @p208 (forall @t45 (=> @t331 @t256))) % 16.13/16.32 (assume @p209 (forall @t45 (tptp.c_Relation_Otrans @t9 @t119))) % 16.13/16.32 (assume @p210 (forall @t45 (=> @t330 (= @t222 @t41)))) % 16.13/16.32 (assume @p211 (forall @t45 (tptp.c_Relation_Otrans @t9 @t222))) % 16.13/16.32 (assume @p212 (forall @t45 (= (tptp.c_Relation_Otrans @t9 @t146) @t330))) % 16.13/16.32 (assume @p213 (forall @t239 (tptp.c_Relation_Otrans @t9 @t224))) % 16.13/16.32 (assume @p214 (forall @t131 (tptp.c_Relation_Otrans @t9 @t128))) % 16.13/16.32 (assume @p215 (forall @t333 (=> @t330 (tptp.c_Relation_Otrans @t32 @t332)))) % 16.13/16.32 (assume @p216 (forall (@list @t54 @t41 @t9) (=> @t331 (not @t221)))) % 16.13/16.32 (assume @p217 (forall (@list @t19 @t54 @t41 @t9) (=> @t331 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t19) @t41) (not @t94))))) % 16.13/16.32 (assume @p218 (forall @t338 (=> @t331 @t118))) % 16.13/16.32 (assume @p219 (forall @t45 (= @t331 @t339))) % 16.13/16.32 (assume @p220 (forall @t45 (=> (tptp.c_Wellfounded_Owf @t9 @t146) (tptp.c_Wellfounded_Owf @t9 @t235)))) % 16.13/16.32 (assume @p221 (forall (@list @t8 @t52 @t54 @t41 @t9) (=> @t330 (=> @t113 (=> @t159 (tptp.c_member @t43 @t153 @t41)))))) % 16.13/16.32 (assume @p222 (forall @t45 (= @t330 @t340))) % 16.13/16.32 (assume @p223 (forall @t45 (=> @t330 (tptp.c_Relation_Otrans @t9 @t261)))) % 16.13/16.32 (assume @p224 (forall (@list @t61 @t9) (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t61) @t61)))) % 16.13/16.32 (assume @p225 (forall @t343 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t342) @t342)))) % 16.13/16.32 (assume @p226 (forall @t345 (=> @t341 (= @t344 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t59 @t61))))) % 16.13/16.32 (assume @p227 (forall @t349 (=> @t324 @t348))) % 16.13/16.32 (assume @p228 (forall @t349 (=> @t341 @t348))) % 16.13/16.32 (assume @p229 (forall @t345 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t344) @t344)))) % 16.13/16.32 (assume @p230 (forall @t349 (=> @t324 @t350))) % 16.13/16.32 (assume @p231 (forall @t349 (=> @t341 @t350))) % 16.13/16.32 (assume @p232 (forall @t353 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t59 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t351)) @t352)))) % 16.13/16.32 (assume @p233 (forall @t359 (=> @t324 @t358))) % 16.13/16.32 (assume @p234 (forall @t359 (=> @t341 @t358))) % 16.13/16.32 (assume @p235 (forall @t360 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t344 @t351) @t352)))) % 16.13/16.32 (assume @p236 (forall @t359 (=> @t324 @t361))) % 16.13/16.32 (assume @p237 (forall @t359 (=> @t341 @t361))) % 16.13/16.32 (assume @p238 (forall @t216 (= (tptp.c_Order__Relation_Ostrict__linear__order__on @t9 @t11 @t41) (and @t330 @t125 @t215)))) % 16.13/16.32 (assume @p239 (forall (@list @t2 @t9) (tptp.c_Wellfounded_Owf @t9 @t363))) % 16.13/16.32 (assume @p240 (forall (@list @t32 @t9 @t364 @t99) (=> (tptp.c_Wellfounded_Owf @t9 @t99) (forall @t6 (= (tptp.hAPP @t365 @t3) (tptp.hAPP (tptp.hAPP @t364 (tptp.c_Recdef_Ocut @t9 @t32 @t365 @t99 @t3)) @t3)))))) % 16.13/16.32 (assume @p241 (forall (@list @t54 @t366 @t32 @t41 @t9) (=> @t331 (= (tptp.hAPP @t367 @t54) (tptp.hAPP (tptp.hAPP @t366 (tptp.c_Recdef_Ocut @t9 @t32 @t367 @t41 @t54)) @t54))))) % 16.13/16.32 (assume @p242 (forall (@list @t54 @t366 @t41 @t32 @t9 @t2) (=> (= @t2 @t367) (=> @t331 (= (tptp.hAPP @t2 @t54) (tptp.hAPP (tptp.hAPP @t366 @t92) @t54)))))) % 16.13/16.32 (assume @p243 (forall @t216 (=> @t368 (tptp.c_Order__Relation_Ostrict__linear__order__on @t9 @t11 @t262)))) % 16.13/16.32 (assume @p244 (forall (@list @t9 @t31 @t32 @t35) (=> (forall @t6 (=> @t298 (tptp.c_Wellfounded_Owf @t32 (tptp.hAPP @t31 @t3)))) (tptp.c_Wellfounded_Owf @t34 @t36)))) % 16.13/16.32 (assume @p245 (forall @t216 (= @t369 (and @t219 @t330)))) % 16.13/16.32 (assume @p246 (forall @t45 (= @t331 (forall (@list @t370) (=> (exists @t6 @t371) (exists @t6 (and @t371 (forall @t97 (=> @t231 (not (tptp.c_member @t9 @t95 @t370))))))))))) % 16.13/16.32 (assume @p247 (forall @t216 (= (tptp.c_Order__Relation_Opreorder__on @t9 @t11 @t146) @t369))) % 16.13/16.32 (assume @p248 (forall @t216 (= (tptp.c_Order__Relation_Olinear__order__on @t9 @t11 @t146) @t368))) % 16.13/16.32 (assume @p249 (forall @t216 (= (tptp.c_Order__Relation_Owell__order__on @t9 @t11 @t41) (and @t368 (tptp.c_Wellfounded_Owf @t9 @t262))))) % 16.13/16.32 (assume @p250 (forall @t216 (= @t368 (and @t372 @t215)))) % 16.13/16.32 (assume @p251 (forall @t216 (= @t372 (and @t369 @t227)))) % 16.13/16.32 (assume @p252 (forall @t242 (=> @t373 (tptp.c_Wellfounded_OwfP @t9 (tptp.c_FunDef_Oin__rel @t9 @t9 @t31))))) % 16.13/16.32 (assume @p253 (forall @t216 (= (tptp.c_Order__Relation_Opartial__order__on @t9 @t11 @t146) @t372))) % 16.13/16.32 (assume @p254 (forall @t45 (=> @t339 @t331))) % 16.13/16.32 (assume @p255 (forall @t45 (= @t374 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t243 @t244)))) % 16.13/16.32 (assume @p256 (forall (@list @t2 @t18 @t19 @t9) (= (tptp.c_member @t43 @t129 @t363) @t375))) % 16.13/16.32 (assume @p257 (forall @t45 (=> @t340 @t330))) % 16.13/16.32 (assume @p258 (forall @t45 (= (tptp.c_Relation_OField @t9 @t146) @t374))) % 16.13/16.32 (assume @p259 (forall @t377 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t61) @t376)))) % 16.13/16.32 (assume @p260 (forall @t378 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t59) @t376)))) % 16.13/16.32 (assume @p261 (forall @t380 (= (tptp.c_Relation_OField @t9 @t310) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t374 @t379)))) % 16.13/16.32 (assume @p262 (forall @t383 (=> @t375 @t382))) % 16.13/16.32 (assume @p263 (forall @t387 (=> @t386 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t54 @t52) (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t384)))))) % 16.13/16.32 (assume @p264 (forall @t211 (= (tptp.c_Relation_OField @t9 (tptp.c_Set_Oinsert @t43 @t112 @t41)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t390 @t374)))) % 16.13/16.32 (assume @p265 (forall @t239 (= @t362 (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t9 tptp.c_Wellfounded_Oless__than)))) % 16.13/16.32 (assume @p266 (forall @t239 (tptp.c_Wellfounded_Owf @t9 @t391))) % 16.13/16.32 (assume @p267 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 16.13/16.32 (assume @p268 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 16.13/16.32 (assume @p269 (forall @t225 (not (tptp.c_member @t9 @t54 @t388)))) % 16.13/16.32 (assume @p270 (forall @t239 (= (tptp.c_Relation_OField @t9 @t391) @t388))) % 16.13/16.32 (assume @p271 (forall @t131 (not (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t388)))) % 16.13/16.32 (assume @p272 (forall @t393 (=> @t392 @t281))) % 16.13/16.32 (assume @p273 (forall @t239 (tptp.c_Order__Relation_Olinear__order__on @t9 @t388 @t391))) % 16.13/16.32 (assume @p274 (forall @t239 (tptp.c_Order__Relation_Opreorder__on @t9 @t388 @t391))) % 16.13/16.32 (assume @p275 (forall @t239 (tptp.c_Relation_Oantisym @t9 @t391))) % 16.13/16.32 (assume @p276 (forall (@list @t54 @t9 @t11) (=> @t394 (not @t66)))) % 16.13/16.32 (assume @p277 (forall (@list @t8 @t9) (not (tptp.c_member @t9 @t8 @t388)))) % 16.13/16.32 (assume @p278 (forall @t131 (= (exists @t6 @t161) (not @t394)))) % 16.13/16.32 (assume @p279 (forall @t131 (= (forall @t6 (not @t161)) @t394))) % 16.13/16.32 (assume @p280 (forall @t248 (=> (= @t395 @t389) @t68))) % 16.13/16.32 (assume @p281 (forall @t387 (= (= @t390 (tptp.c_Set_Oinsert @t9 @t8 (tptp.c_Set_Oinsert @t9 @t384 @t388))) (or (and (= @t54 @t8) (= @t52 @t384)) (and (= @t54 @t384) (= @t52 @t8)))))) % 16.13/16.32 (assume @p282 (forall @t316 (not (= @t315 @t388)))) % 16.13/16.32 (assume @p283 (forall @t316 (not (= @t388 @t315)))) % 16.13/16.32 (assume @p284 (forall @t286 (= (= @t266 @t388) (and @t394 (= @t7 @t388))))) % 16.13/16.32 (assume @p285 (forall @t131 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t388) @t11))) % 16.13/16.32 (assume @p286 (forall (@list @t7 @t9) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t388 @t7) @t7))) % 16.13/16.32 (assume @p287 (forall (@list @t7 @t32 @t9) (= (tptp.c_Product__Type_OSigma @t9 @t32 @t388 @t7) @t396))) % 16.13/16.32 (assume @p288 (forall (@list @t9 @t32) (= (tptp.c_Relation_ORange @t32 @t9 @t397) @t388))) % 16.13/16.32 (assume @p289 (forall @t133 (= (= @t139 @t388) (= @t41 @t397)))) % 16.13/16.32 (assume @p290 (forall @t239 (= (tptp.c_Relation_OId__on @t9 @t388) @t391))) % 16.13/16.32 (assume @p291 (forall @t197 (= (= @t172 @t388) (= @t41 @t396)))) % 16.13/16.32 (assume @p292 (forall (@list @t32 @t9) (= (tptp.c_Relation_ODomain @t9 @t32 @t396) @t388))) % 16.13/16.32 (assume @p293 (forall @t239 (tptp.c_Relation_Orefl__on @t9 @t388 @t391))) % 16.13/16.32 (assume @p294 (forall @t239 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t391) @t391))) % 16.13/16.32 (assume @p295 (forall @t131 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t11) @t388))) % 16.13/16.32 (assume @p296 (forall @t131 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t388) @t11))) % 16.13/16.32 (assume @p297 (forall @t131 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t388 @t11) @t388))) % 16.13/16.32 (assume @p298 (forall @t239 (tptp.c_Order__Relation_Opartial__order__on @t9 @t388 @t391))) % 16.13/16.32 (assume @p299 (forall @t239 (tptp.c_Order__Relation_Owell__order__on @t9 @t388 @t391))) % 16.13/16.32 (assume @p300 (forall @t45 (tptp.c_Relation_Ototal__on @t9 @t388 @t41))) % 16.13/16.32 (assume @p301 (forall @t343 (=> @t399 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t398 @t342) @t342)))) % 16.13/16.32 (assume @p302 (forall @t343 (=> @t399 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t398) @t342)))) % 16.13/16.32 (assume @p303 (forall @t116 (=> @t399 (= (= @t400 @t398) (and (= @t19 @t398) (= @t18 @t398)))))) % 16.13/16.32 (assume @p304 (forall @t403 (= @t402 @t401))) % 16.13/16.32 (assume @p305 (forall @t403 (=> @t402 @t401))) % 16.13/16.32 (assume @p306 (forall @t316 (= @t315 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t395 @t11)))) % 16.13/16.32 (assume @p307 (forall @t292 (= @t404 (tptp.c_Groups_Ominus__class_Ominus @t265 @t279 @t395)))) % 16.13/16.32 (assume @p308 (forall @t292 (= @t404 (tptp.c_Groups_Ominus__class_Ominus @t265 @t405 @t7)))) % 16.13/16.32 (assume @p309 (forall @t316 (= @t406 @t315))) % 16.13/16.32 (assume @p310 (forall (@list @t18 @t19) (= (tptp.c_member @t407 (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t19 @t18) tptp.c_Wellfounded_Oless__than) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t18)))) % 16.13/16.32 (assume @p311 (forall @t239 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t391) @t224))) % 16.13/16.32 (assume @p312 (forall @t316 (=> @t66 (= @t406 @t11)))) % 16.13/16.32 (assume @p313 (forall @t65 (=> @t313 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t287 @t408) @t11)))) % 16.13/16.32 (assume @p314 (forall @t387 (=> (tptp.class_Groups_Oab__group__add @t9) (=> @t385 (= @t68 (= @t8 @t384)))))) % 16.13/16.32 (assume @p315 (forall (@list @t2 @t31 @t9) (=> @t373 (tptp.c_Wellfounded_Owf @t9 @t381)))) % 16.13/16.32 (assume @p316 (forall (@list @t19 @t9) (= (tptp.c_Set_Othe__elem @t9 @t408) @t19))) % 16.13/16.32 (assume @p317 (forall (@list @t18 @t23 @t2 @t32 @t11 @t19 @t9) (=> @t64 (=> (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t2 @t23 @t409 @t18) (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t2 @t23 @t11 (tptp.hAPP @t91 @t18)))))) % 16.13/16.32 (assume @p318 (forall (@list @t19 @t32 @t9) (=> @t410 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t322) @t19) @t398)))) % 16.13/16.32 (assume @p319 (forall @t228 (=> (tptp.c_Relation_Orefl__on @t9 @t374 @t41) (=> @t227 @t415)))) % 16.13/16.32 (assume @p320 (forall @t296 (=> @t392 @t417))) % 16.13/16.32 (assume @p321 (forall (@list @t31 @t9 @t32) (= (tptp.c_Relation_OImage @t32 @t9 @t31 @t419) @t388))) % 16.13/16.32 (assume @p322 (forall @t131 (= (tptp.c_Relation_OImage @t9 @t9 @t224 @t11) @t11))) % 16.13/16.32 (assume @p323 (forall (@list @t7 @t11 @t31 @t9 @t32) (= (tptp.c_Relation_OImage @t32 @t9 @t31 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t418 @t11 @t7)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t421 @t420)))) % 16.13/16.32 (assume @p324 (forall (@list @t11 @t317 @t31 @t9 @t32) (= (tptp.c_Relation_OImage @t32 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t284 @t31 @t317) @t11) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t421 (tptp.c_Relation_OImage @t32 @t9 @t317 @t11))))) % 16.13/16.32 (assume @p325 (forall (@list @t23 @t2 @t32 @t9) (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t2 @t23 @t388 @t23))) % 16.13/16.32 (assume @p326 (forall (@list @t85 @t81 @t32 @t9) (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t81 @t85 @t388 @t85))) % 16.13/16.32 (assume @p327 (forall (@list @t41 @t52 @t32 @t11 @t54 @t9) (=> @t66 (=> @t126 (tptp.c_member @t32 @t52 @t422))))) % 16.13/16.32 (assume @p328 (forall @t425 (= @t424 (exists @t6 (and @t423 @t162))))) % 16.13/16.32 (assume @p329 (forall @t343 (=> @t426 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t342))))) % 16.13/16.32 (assume @p330 (forall @t116 (=> @t429 (= @t27 (or @t428 @t427))))) % 16.13/16.32 (assume @p331 (forall @t116 (=> @t429 (= @t430 (or @t427 @t26))))) % 16.13/16.32 (assume @p332 (forall @t349 (=> @t429 (or @t433 @t432 @t431)))) % 16.13/16.32 (assume @p333 (forall @t435 (=> @t429 (=> (not @t427) @t434)))) % 16.13/16.32 (assume @p334 (forall @t349 (=> @t429 (=> @t437 (=> @t436 @t431))))) % 16.13/16.32 (assume @p335 (forall @t349 (=> @t438 (=> @t433 @t437)))) % 16.13/16.32 (assume @p336 (forall @t349 (=> @t426 (=> @t433 (not @t431))))) % 16.13/16.32 (assume @p337 (forall @t349 (=> @t438 (=> @t433 (not (= @t346 @t342)))))) % 16.13/16.32 (assume @p338 (forall @t345 (=> @t426 (=> @t440 (not @t439))))) % 16.13/16.32 (assume @p339 (forall @t441 (=> @t438 (=> @t439 (not @t440))))) % 16.13/16.32 (assume @p340 (forall @t360 (=> @t444 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t59 @t351) @t442))))) % 16.13/16.32 (assume @p341 (forall @t360 (=> @t438 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t351 @t59) @t445))))) % 16.13/16.32 (assume @p342 (forall @t360 (=> @t444 (=> @t440 (=> @t446 @t442))))) % 16.13/16.32 (assume @p343 (forall @t353 (=> @t438 (=> @t439 (=> @t446 @t445))))) % 16.13/16.32 (assume @p344 (forall @t359 (=> @t426 (=> @t433 @t448)))) % 16.13/16.32 (assume @p345 (forall @t451 (=> @t438 (=> @t431 @t450)))) % 16.13/16.32 (assume @p346 (forall @t349 (=> @t429 (=> @t436 (=> @t437 @t431))))) % 16.13/16.32 (assume @p347 (forall (@list @t54 @t41 @t32 @t52 @t9) (= (tptp.c_member @t9 @t52 (tptp.c_Relation_OImage @t32 @t9 @t41 (tptp.c_Set_Oinsert @t32 @t54 @t419))) (tptp.c_member @t135 @t311 @t41)))) % 16.13/16.32 (assume @p348 (forall @t228 (=> (tptp.c_Order__Relation_Opartial__order__on @t9 @t374 @t41) @t415))) % 16.13/16.32 (assume @p349 (forall @t456 (= (tptp.c_member @t407 @t455 @t454) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t453 @t452)))) % 16.13/16.32 (assume @p350 (forall @t228 (=> @t457 (=> @t414 (=> @t413 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t412 @t411) @t226)))))) % 16.13/16.32 (assume @p351 (forall (@list @t460 @t81 @t85 @t458 @t459 @t32 @t9) (= (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t459 @t458 @t85 @t461) (or (and (= @t85 @t388) (= @t461 @t458)) (exists @t169 (and (= @t461 (tptp.hAPP (tptp.hAPP @t459 @t3) @t95)) (tptp.c_member @t9 @t3 @t85) (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t459 @t458 (tptp.c_Groups_Ominus__class_Ominus @t265 @t85 (tptp.c_Set_Oinsert @t9 @t3 @t388)) @t95))))))) % 16.13/16.32 (assume @p352 (forall @t343 (=> @t426 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t342)))) % 16.13/16.32 (assume @p353 (forall @t286 (=> @t463 (=> @t462 @t16)))) % 16.13/16.32 (assume @p354 (forall @t393 (=> @t463 @t281))) % 16.13/16.32 (assume @p355 (forall @t131 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t388 @t11))) % 16.13/16.32 (assume @p356 (forall @t116 (=> @t429 (= @t430 @t464)))) % 16.13/16.32 (assume @p357 (forall @t116 (=> @t429 (= (not @t465) @t427)))) % 16.13/16.32 (assume @p358 (forall @t349 (=> @t429 (or @t466 @t431)))) % 16.13/16.32 (assume @p359 (forall @t470 (=> @t469 (= (tptp.c_Orderings_Oord__class_Oless @t467 @t2 @t1) (and @t468 (not (tptp.c_Orderings_Oord__class_Oless__eq @t467 @t1 @t2))))))) % 16.13/16.32 (assume @p360 (forall @t116 (=> @t438 (= @t428 (and @t465 @t27))))) % 16.13/16.32 (assume @p361 (forall @t116 (=> @t426 (= @t428 (and @t465 (not @t464)))))) % 16.13/16.32 (assume @p362 (forall @t116 (=> @t438 (= @t465 (or @t428 @t26))))) % 16.13/16.32 (assume @p363 (forall @t349 (=> @t429 (=> @t436 @t471)))) % 16.13/16.32 (assume @p364 (forall @t472 (=> @t429 (=> (not @t471) @t433)))) % 16.13/16.32 (assume @p365 (forall @t116 (=> @t429 (=> @t430 @t473)))) % 16.13/16.32 (assume @p366 (forall @t345 (=> @t438 (=> @t475 (=> @t474 @t440))))) % 16.13/16.32 (assume @p367 (forall @t345 (=> @t438 (=> @t475 (=> @t476 @t439))))) % 16.13/16.32 (assume @p368 (forall @t472 (=> @t429 (=> @t471 @t436)))) % 16.13/16.32 (assume @p369 (forall @t349 (=> @t426 (=> @t433 @t466)))) % 16.13/16.32 (assume @p370 (forall @t116 (=> @t429 (=> @t465 @t434)))) % 16.13/16.32 (assume @p371 (forall @t349 (=> @t438 (=> @t466 (or @t433 @t432))))) % 16.13/16.32 (assume @p372 (forall @t345 (=> @t438 (=> @t474 (=> @t475 @t440))))) % 16.13/16.32 (assume @p373 (forall @t441 (=> @t438 (=> @t476 (=> @t475 @t439))))) % 16.13/16.32 (assume @p374 (forall @t359 (=> @t426 (=> @t433 (=> @t477 @t447))))) % 16.13/16.32 (assume @p375 (forall @t451 (=> @t438 (=> @t431 (=> @t478 @t449))))) % 16.13/16.32 (assume @p376 (forall @t359 (=> @t426 (=> @t466 @t448)))) % 16.13/16.32 (assume @p377 (forall @t451 (=> @t438 (=> @t471 @t450)))) % 16.13/16.32 (assume @p378 (forall @t296 (=> @t463 @t417))) % 16.13/16.32 (assume @p379 (forall @t296 (=> @t392 (=> @t479 @t416)))) % 16.13/16.32 (assume @p380 (forall @t286 (=> @t392 @t463))) % 16.13/16.32 (assume @p381 (forall @t286 (= @t463 (or @t392 @t16)))) % 16.13/16.32 (assume @p382 (forall @t286 (= @t392 (and @t463 (not @t16))))) % 16.13/16.32 (assume @p383 (forall @t131 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t388) @t394))) % 16.13/16.32 (assume @p384 (forall (@list @t7 @t9 @t11) (=> (= @t11 @t391) (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t11 @t7)))) % 16.13/16.32 (assume @p385 (forall @t343 (=> @t410 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t398 @t342)))) % 16.13/16.32 (assume @p386 (forall @t480 (=> @t331 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t143 @t41) (tptp.c_Wellfounded_Owf @t9 @t143))))) % 16.13/16.32 (assume @p387 (forall (@list @t11 @t481 @t41 @t482 @t32 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t308 @t482 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t481 @t11) (tptp.c_Orderings_Oord__class_Oless__eq @t418 (tptp.c_Relation_OImage @t9 @t32 @t482 @t481) @t422))))) % 16.13/16.32 (assume @p388 (forall @t470 (=> @t469 (= @t468 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t32 @t5 @t4)))))) % 16.13/16.32 (assume @p389 (forall @t349 (=> @t429 (or @t466 @t471)))) % 16.13/16.32 (assume @p390 (forall @t116 (=> @t438 (= @t26 (and @t465 @t464))))) % 16.13/16.32 (assume @p391 (forall @t349 (=> @t426 (=> @t432 @t466)))) % 16.13/16.32 (assume @p392 (forall (@list @t19 @t1 @t2 @t9 @t32) (=> @t469 (=> @t468 (tptp.c_Orderings_Oord__class_Oless__eq @t32 @t91 @t323))))) % 16.13/16.32 (assume @p393 (forall @t435 (=> @t438 (=> @t464 @t473)))) % 16.13/16.32 (assume @p394 (forall @t360 (=> @t444 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t351) @t483))))) % 16.13/16.32 (assume @p395 (forall @t360 (=> @t438 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t351 @t59) @t484))))) % 16.13/16.32 (assume @p396 (forall @t360 (=> @t444 (=> @t474 (=> @t446 @t483))))) % 16.13/16.32 (assume @p397 (forall @t353 (=> @t438 (=> @t476 (=> @t446 @t484))))) % 16.13/16.32 (assume @p398 (forall @t349 (=> @t438 (=> @t466 (=> @t471 @t432))))) % 16.13/16.32 (assume @p399 (forall @t359 (=> @t426 (=> @t466 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t354)))))) % 16.13/16.32 (assume @p400 (forall @t472 (=> @t438 (=> @t471 (=> @t466 @t432))))) % 16.13/16.32 (assume @p401 (forall @t451 (=> @t438 (=> @t471 (=> @t478 @t485))))) % 16.13/16.32 (assume @p402 (forall @t349 (=> @t429 (=> (not @t466) @t471)))) % 16.13/16.32 (assume @p403 (forall @t268 (=> @t463 (=> @t64 @t71)))) % 16.13/16.32 (assume @p404 (forall @t314 (=> @t64 (=> @t463 @t71)))) % 16.13/16.32 (assume @p405 (forall @t380 (=> @t486 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t374 @t379)))) % 16.13/16.32 (assume @p406 (forall @t488 (=> @t487 (=> (tptp.c_Relation_Osingle__valued @t9 @t32 @t75) @t199)))) % 16.13/16.32 (assume @p407 (forall (@list @t342 @t59 @t61 @t9) (=> @t341 (=> @t491 (not (=> @t490 (not @t489))))))) % 16.13/16.32 (assume @p408 (forall (@list @t492 @t59 @t351 @t61 @t9) (=> @t341 (=> @t483 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t492) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t344 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t351 @t492))))))) % 16.13/16.32 (assume @p409 (forall @t451 (=> @t341 (=> @t471 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t356 @t342)))))) % 16.13/16.32 (assume @p410 (forall (@list @t59 @t342 @t61 @t9) (=> @t341 (=> @t490 (=> @t489 @t491))))) % 16.13/16.32 (assume @p411 (forall @t472 (=> @t341 (=> @t471 (= @t347 @t342))))) % 16.13/16.32 (assume @p412 (forall @t349 (=> @t341 (=> @t466 (= @t347 @t346))))) % 16.13/16.32 (assume @p413 (forall @t378 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t59) @t493)))) % 16.13/16.32 (assume @p414 (forall @t377 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t61) @t493)))) % 16.13/16.32 (assume @p415 (forall (@list @t23 @t18 @t19 @t9) (=> @t341 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t400 @t23) (and (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 @t23) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t18 @t23)))))) % 16.13/16.32 (assume @p416 (forall @t116 (=> @t341 (= @t465 (= @t400 @t18))))) % 16.13/16.32 (assume @p417 (forall @t472 (=> @t341 @t494))) % 16.13/16.32 (assume @p418 (forall @t472 (=> @t324 @t494))) % 16.13/16.32 (assume @p419 (forall @t349 (=> @t341 @t495))) % 16.13/16.32 (assume @p420 (forall @t349 (=> @t324 @t495))) % 16.13/16.32 (assume @p421 (forall (@list @t54 @t496 @t293 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t293 @t496) (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Set_Oinsert @t9 @t54 @t293) (tptp.c_Set_Oinsert @t9 @t54 @t496))))) % 16.13/16.32 (assume @p422 (forall (@list @t52 @t7 @t11 @t9) (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t272)))) % 16.13/16.32 (assume @p423 (forall (@list @t54 @t7 @t9) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t291))) % 16.13/16.32 (assume @p424 (forall (@list @t496 @t7 @t293 @t11 @t9) (=> @t497 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t496) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t266 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t293 @t496)))))) % 16.13/16.32 (assume @p425 (forall (@list @t7 @t293 @t11 @t9) (=> @t497 (=> @t479 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t266 @t293))))) % 16.13/16.32 (assume @p426 (forall @t297 (=> @t462 (= @t266 @t11)))) % 16.13/16.32 (assume @p427 (forall @t286 (=> @t463 @t498))) % 16.13/16.32 (assume @p428 (forall @t286 (= @t463 @t498))) % 16.13/16.32 (assume @p429 (forall @t297 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t266))) % 16.13/16.32 (assume @p430 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t266))) % 16.13/16.32 (assume @p431 (forall @t296 (=> @t463 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t7 (tptp.c_Groups_Ominus__class_Ominus @t265 @t293 @t11)) @t11))))) % 16.13/16.32 (assume @p432 (forall (@list @t7 @t496 @t293 @t11 @t9) (=> @t497 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t496 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t279 (tptp.c_Groups_Ominus__class_Ominus @t265 @t293 @t496)))))) % 16.13/16.32 (assume @p433 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t279 @t11))) % 16.13/16.32 (assume @p434 (forall (@list @t336 @t337 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t337 @t336) (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Wellfounded_Oacc @t9 @t336) (tptp.c_Wellfounded_Oacc @t9 @t337))))) % 16.13/16.32 (assume @p435 (forall (@list @t327 @t9 @t19 @t35) (=> @t40 (=> @t500 @t499)))) % 16.13/16.32 (assume @p436 (forall (@list @t19 @t327 @t35 @t9) (=> @t500 (=> @t40 @t499)))) % 16.13/16.32 (assume @p437 (forall @t131 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t11))) % 16.13/16.32 (assume @p438 (forall @t501 (= @t16 (and @t463 @t462)))) % 16.13/16.32 (assume @p439 (forall @t501 (=> @t16 @t463))) % 16.13/16.32 (assume @p440 (forall @t501 (=> @t16 @t462))) % 16.13/16.32 (assume @p441 (forall @t296 (=> @t463 (=> @t479 @t497)))) % 16.13/16.32 (assume @p442 (forall @t501 (=> @t16 (not (=> @t463 (not @t462)))))) % 16.13/16.32 (assume @p443 (forall @t488 (=> @t487 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t172 (tptp.c_Relation_ODomain @t9 @t32 @t75))))) % 16.13/16.32 (assume @p444 (forall (@list @t41 @t75 @t9) (=> (tptp.c_Wellfounded_Oacyclic @t9 @t75) (=> @t486 @t256)))) % 16.13/16.32 (assume @p445 (forall @t380 (=> @t486 (=> (tptp.c_Relation_Oantisym @t9 @t75) @t227)))) % 16.13/16.32 (assume @p446 (forall @t380 (=> @t486 @t503))) % 16.13/16.32 (assume @p447 (forall @t321 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t31 @t317) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t317 @t170) (= @t319 @t170))))) % 16.13/16.32 (assume @p448 (forall @t380 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t41 @t502) @t503))) % 16.13/16.32 (assume @p449 (forall @t387 (=> @t386 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t54 @t52) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t384)))))) % 16.13/16.32 (assume @p450 (forall @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t287 @t7) (and @t71 @t463)))) % 16.13/16.32 (assume @p451 (forall @t314 (=> @t313 (= @t504 @t463)))) % 16.13/16.32 (assume @p452 (forall (@list @t19 @t11 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t408) (or @t394 (= @t11 @t408))))) % 16.13/16.32 (assume @p453 (forall @t296 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t279 @t293) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t294)))) % 16.13/16.32 (assume @p454 (forall @t286 (=> @t463 (= @t289 @t7)))) % 16.13/16.32 (assume @p455 (forall (@list @t75 @t41 @t143 @t9) (=> @t240 (=> @t486 (tptp.c_member @t43 @t143 (tptp.c_Transitive__Closure_Otrancl @t9 @t75)))))) % 16.13/16.32 (assume @p456 (forall (@list @t505 @t41 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Relation_OImage @t9 @t9 @t41 @t505) @t505) (= (tptp.c_Relation_OImage @t9 @t9 @t119 @t505) @t505)))) % 16.13/16.32 (assume @p457 (forall @t321 (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t320 @t318))) % 16.13/16.32 (assume @p458 (forall (@list @t11 @t31 @t9) (=> @t373 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 (tptp.c_Relation_OImage @t9 @t9 @t31 @t11)) @t394)))) % 16.13/16.32 (assume @p459 (forall @t309 (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Groups_Ominus__class_Ominus @t265 @t307 @t306) (tptp.c_Relation_ODomain @t9 @t32 (tptp.c_Groups_Ominus__class_Ominus @t308 @t11 @t7))))) % 16.13/16.32 (assume @p460 (forall @t309 (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Groups_Ominus__class_Ominus @t265 @t283 @t282) (tptp.c_Relation_ORange @t32 @t9 (tptp.c_Groups_Ominus__class_Ominus @t284 @t11 @t7))))) % 16.13/16.32 (assume @p461 (= tptp.c_Wellfounded_Oless__than @t454)) % 16.13/16.32 (assume @p462 (forall @t508 (= @t504 (and (=> @t64 @t507) @t506)))) % 16.13/16.32 (assume @p463 (forall @t508 (=> @t507 (=> @t64 @t504)))) % 16.13/16.32 (assume @p464 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 16.13/16.32 (assume @p465 (forall @t508 (= (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t312) (and (=> @t71 @t392) (=> @t303 (and (=> @t64 (tptp.c_Orderings_Oord__class_Oless @t265 @t409 @t7)) @t506)))))) % 16.13/16.32 (assume @p466 (forall (@list @t7 @t11 @t41 @t9) (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t374) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t374) (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Relation_OImage @t9 @t9 @t41 @t11) (tptp.c_Relation_OImage @t9 @t9 @t41 @t7)) (forall @t6 (=> @t161 (exists @t214 (and (tptp.c_member @t9 @t212 @t7) @t213)))))))))) % 16.13/16.32 (assume @p467 (forall @t425 (=> @t424 (not (forall @t6 (=> @t162 (not @t423))))))) % 16.13/16.32 (assume @p468 (forall (@list @t346 @t342) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t342 @t346) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t342 @t346)))) % 16.13/16.32 (assume @p469 (forall @t480 (=> (tptp.c_Wellfounded_OwfP @t9 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t9 @t265) @t143 @t41) (tptp.c_Wellfounded_OwfP @t9 @t143))))) % 16.13/16.32 (assume @p470 (forall @t383 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t217) (=> (tptp.c_member @t43 @t129 @t31) @t382)))) % 16.13/16.32 (assume @p471 (forall @t456 (= (tptp.c_member @t407 @t455 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t453 @t452)))) % 16.13/16.32 (assume @p472 (forall @t338 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t260 @t146 @t119) @t391) (not (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t19) @t222))))) % 16.13/16.32 (assume @p473 (forall (@list @t54 @t52 @t41 @t11 @t9) (=> (tptp.c_Equiv__Relations_Oequiv @t9 @t11 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t411 @t412) (=> @t67 @t113))))) % 16.13/16.32 (assume @p474 (forall (@list @t9 @t7 @t19 @t11) (=> @t63 (=> @t264 @t510)))) % 16.13/16.32 (assume @p475 (forall @t268 (=> @t510 (not (=> @t63 @t269))))) % 16.13/16.32 (assume @p476 (forall @t277 (=> @t12 (=> @t10 @t511)))) % 16.13/16.32 (assume @p477 (forall @t277 (=> @t511 (not @t15)))) % 16.13/16.32 (assume @p478 (forall (@list @t7 @t11 @t31 @t32 @t9) (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Relation_OImage @t32 @t9 @t31 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t418 @t11 @t7)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t265 @t421 @t420)))) % 16.13/16.32 (assume @p479 (forall @t296 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t509 @t293) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t265 @t11 @t294)) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t293 @t11)))) % 16.13/16.32 (assume @p480 (forall @t359 (=> @t324 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t512 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t342 @t354)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t342 @t356))))) % 16.13/16.32 (assume @p481 (forall @t359 (=> @t324 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t346 @t354)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t347 @t355))))) % 16.13/16.32 (assume @p482 (forall @t349 (=> @t324 @t513))) % 16.13/16.32 (assume @p483 (forall @t349 (=> @t514 @t513))) % 16.13/16.32 (assume @p484 (forall @t349 (=> @t324 @t515))) % 16.13/16.32 (assume @p485 (forall @t349 (=> @t514 @t515))) % 16.13/16.32 (assume @p486 (forall @t116 (=> @t514 (= @t465 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t19 @t18) @t19))))) % 16.13/16.32 (assume @p487 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p488 (forall @t520 (=> @t519 (tptp.class_Lattices_Obounded__lattice @t518)))) % 16.13/16.32 (assume @p489 (forall @t520 (=> @t519 (tptp.class_Lattices_Obounded__lattice__bot @t518)))) % 16.13/16.32 (assume @p490 (forall @t520 (=> @t521 (tptp.class_Lattices_Osemilattice__sup @t518)))) % 16.13/16.32 (assume @p491 (forall @t520 (=> @t521 (tptp.class_Lattices_Osemilattice__inf @t518)))) % 16.13/16.32 (assume @p492 (forall @t520 (=> (tptp.class_Orderings_Opreorder @t516) (tptp.class_Orderings_Opreorder @t518)))) % 16.13/16.32 (assume @p493 (forall @t520 (=> @t521 (tptp.class_Lattices_Olattice @t518)))) % 16.13/16.32 (assume @p494 (forall @t520 (=> (tptp.class_Orderings_Oorder @t516) (tptp.class_Orderings_Oorder @t518)))) % 16.13/16.32 (assume @p495 (forall @t520 (=> (tptp.class_Orderings_Oord @t516) (tptp.class_Orderings_Oord @t518)))) % 16.13/16.32 (assume @p496 (forall @t520 (=> (tptp.class_Orderings_Obot @t516) (tptp.class_Orderings_Obot @t518)))) % 16.13/16.32 (assume @p497 (forall @t520 (=> (tptp.class_Groups_Ominus @t516) (tptp.class_Groups_Ominus @t518)))) % 16.13/16.32 (assume @p498 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p499 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p500 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p501 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p502 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p503 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p504 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p505 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p506 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 16.13/16.32 (assume @p507 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p508 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p509 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p510 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p511 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p512 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p513 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p514 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p515 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 16.13/16.32 (assume @p516 (forall @t526 (or (not @t525) @t524))) % 16.13/16.32 (assume @p517 (forall @t526 (or (not @t524) @t525))) % 16.13/16.32 (assume @p518 (not (= tptp.v_x tptp.v_y))) % 16.13/16.32 (assume @p519 (and @t536 (forall @t6 (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t3) tptp.v_L))) @t531)) % 16.13/16.32 (assume @p520 @t576) % 16.13/16.32 (assume @p521 true) % 16.13/16.32 (step @p522 :rule bool-double-not-elim :args (@t586)) % 16.13/16.32 (step @p523 :rule refl :args (@t592)) % 16.13/16.32 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t592 (not @t591)))) % 16.13/16.32 (step @p525 :rule cnf_or_neg :args (@t592 0)) % 16.13/16.32 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 16.13/16.32 (step @p527 :rule reordering :premises (@p526) :args ((or @t586 @t592))) % 16.13/16.32 (step @p528 :rule bool-double-not-elim :args (@t589)) % 16.13/16.32 (step @p529 :rule nary_cong :premises (@p523 @p528) :args ((or @t592 (not @t590)))) % 16.13/16.32 (step @p530 :rule cnf_or_neg :args (@t592 2)) % 16.13/16.32 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 16.13/16.32 (step @p532 :rule reordering :premises (@p531) :args ((or @t589 @t592))) % 16.13/16.32 (step @p533 :rule cnf_or_neg :args (@t592 4)) % 16.13/16.32 (step @p534 :rule aci_norm :args ((= @t598 (or @t596 @t595 @t594)))) % 16.13/16.32 (step @p535 :rule cong :premises (@p534) :args (@t599)) % 16.13/16.32 (step @p536 :rule quant-merge-prenex :args ((= (forall @t169 @t601) @t599))) % 16.13/16.32 (step @p537 :rule alpha_equiv :args (@t602 (@list @t593) @t603)) % 16.13/16.32 (step @p538 :rule refl :args (@t596)) % 16.13/16.32 (step @p539 :rule nary_cong :premises (@p538 @p537) :args (@t604)) % 16.13/16.32 (step @p540 :rule quant-miniscope-or :args ((= @t601 @t604))) % 16.13/16.32 (step @p541 :rule trans :premises (@p540 @p539)) % 16.13/16.32 (step @p542 :rule symm :premises (@p541)) % 16.13/16.32 (step @p543 :rule cong :premises (@p542) :args ((forall @t169 (or @t596 @t606)))) % 16.13/16.32 (step @p544 :rule trans :premises (@p543 @p536)) % 16.13/16.32 (step @p545 :rule trans :premises (@p544 @p535)) % 16.13/16.32 (step @p546 :rule bool-impl-elim :args (@t528 @t606)) % 16.13/16.32 (step @p547 :rule cong :premises (@p546) :args ((forall @t169 (=> @t528 @t606)))) % 16.13/16.32 (step @p548 :rule trans :premises (@p547 @p545)) % 16.13/16.32 (step @p549 :rule bool-impl-elim :args (@t533 @t532)) % 16.13/16.32 (step @p550 :rule cong :premises (@p549) :args (@t534)) % 16.13/16.32 (step @p551 :rule refl :args (@t528)) % 16.13/16.32 (step @p552 :rule cong :premises (@p551 @p550) :args (@t535)) % 16.13/16.32 (step @p553 :rule cong :premises (@p552) :args (@t536)) % 16.13/16.32 (step @p554 :rule trans :premises (@p553 @p548)) % 16.13/16.32 (step @p555 :rule and_elim :premises (@p519) :args (0)) % 16.13/16.32 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 16.13/16.32 (step @p557 :rule instantiate :premises (@p556) :args ((@list @t585 tptp.v_x @t587))) % 16.13/16.32 (step @p558 :rule cnf_or_pos :args (@t607)) % 16.13/16.32 (step @p559 :rule reordering :premises (@p558) :args ((or @t591 @t590 @t588 (not @t607)))) % 16.13/16.32 (step @p560 :rule chain_m_resolution :premises (@p559 @p557 @p533 @p532 @p527) :args (@t592 (@list false true false false) (@list @t607 @t588 @t589 @t586))) % 16.13/16.32 (step @p561 :rule refl :args (@t608)) % 16.13/16.32 (step @p562 :rule bool-double-not-elim :args (@t584)) % 16.13/16.32 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t609) @t608))) % 16.13/16.32 (assume-push @p1238 @t609) % 16.13/16.32 (step @p565 :rule skolemize :premises (@p1238)) % 16.13/16.32 (step-pop @p1239 :rule scope :premises (@p565)) % 16.13/16.32 (step @p566 :rule process_scope :premises (@p1239) :args (@t608)) % 16.13/16.32 (step @p568 :rule implies_elim :premises (@p566)) % 16.13/16.32 (step @p569 :rule eq_resolve :premises (@p568 @p563)) % 16.13/16.32 (step @p570 :rule chain_m_resolution :premises (@p569 @p560) :args (@t584 @t610 (@list @t592))) % 16.13/16.32 (step @p571 :rule bool-double-not-elim :args (@t628)) % 16.13/16.32 (step @p572 :rule refl :args (@t645)) % 16.13/16.32 (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or @t645 (not @t644)))) % 16.13/16.32 (step @p574 :rule cnf_or_neg :args (@t645 0)) % 16.13/16.32 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 16.13/16.32 (step @p576 :rule reordering :premises (@p575) :args ((or @t628 @t645))) % 16.13/16.32 (step @p577 :rule cnf_or_neg :args (@t645 3)) % 16.13/16.32 (step @p578 :rule bool-double-not-elim :args (@t637)) % 16.13/16.32 (step @p579 :rule refl :args (@t639)) % 16.13/16.32 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or @t639 (not @t638)))) % 16.13/16.32 (step @p581 :rule cnf_or_neg :args (@t639 0)) % 16.13/16.32 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 16.13/16.32 (step @p583 :rule reordering :premises (@p582) :args ((or @t637 @t639))) % 16.13/16.32 (step @p584 :rule cnf_or_neg :args (@t639 2)) % 16.13/16.32 (step @p585 :rule instantiate :premises (@p556) :args ((@list @t627 @t626 @t635))) % 16.13/16.32 (step @p586 :rule cnf_or_pos :args (@t646)) % 16.13/16.32 (step @p587 :rule reordering :premises (@p586) :args ((or @t644 @t638 @t636 (not @t646)))) % 16.13/16.32 (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p584 @p583) :args ((or @t644 @t639) @t647 (@list @t646 @t636 @t637))) % 16.13/16.32 (step @p589 :rule cnf_or_neg :args (@t642 2)) % 16.13/16.32 (step @p590 :rule cnf_or_neg :args (@t634 2)) % 16.13/16.32 (step @p591 :rule cnf_and_neg :args (@t643)) % 16.13/16.32 (step @p592 :rule chain_m_resolution :premises (@p591 @p590 @p589) :args ((or @t643 (not @t630) (not @t639)) (@list false false) (@list @t634 @t642))) % 16.13/16.32 (assume-push @p1240 @t628) % 16.13/16.32 (assume-push @p1241 @t640) % 16.13/16.32 (assume-push @p1242 @t628) % 16.13/16.32 (assume-push @p1243 @t640) % 16.13/16.32 (step @p597 :rule true_intro :premises (@p1240)) % 16.13/16.32 (step @p598 :rule refl :args (tptp.v_L)) % 16.13/16.32 (step @p599 :rule refl :args (@t627)) % 16.13/16.32 (step @p600 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 16.13/16.32 (step @p601 :rule cong :premises (@p600 @p600 @p599 @p1241) :args (@t629)) % 16.13/16.32 (step @p602 :rule refl :args (@t21)) % 16.13/16.32 (step @p603 :rule cong :premises (@p602 @p601 @p598) :args (@t630)) % 16.13/16.32 (step @p604 :rule trans :premises (@p603 @p597)) % 16.13/16.32 (step @p605 :rule true_elim :premises (@p604)) % 16.13/16.32 (step-pop @p1244 :rule scope :premises (@p605)) % 16.13/16.32 (step-pop @p1245 :rule scope :premises (@p1244)) % 16.13/16.32 (step @p606 :rule process_scope :premises (@p1245) :args (@t630)) % 16.13/16.32 (step @p609 :rule and_intro :premises (@p1240 @p1241)) % 16.13/16.32 (step @p610 :rule modus_ponens :premises (@p609 @p606)) % 16.13/16.32 (step-pop @p1246 :rule scope :premises (@p610)) % 16.13/16.32 (step-pop @p1247 :rule scope :premises (@p1246)) % 16.13/16.32 (step @p611 :rule process_scope :premises (@p1247) :args (@t630)) % 16.13/16.32 (step @p614 :rule implies_elim :premises (@p611)) % 16.13/16.32 (step @p615 :rule cnf_and_neg :args (@t648)) % 16.13/16.32 (step @p616 :rule resolution :premises (@p615 @p614) :args (true @t648)) % 16.13/16.32 (step @p617 :rule instantiate :premises (@p556) :args ((@list @t627 @t626 tptp.v_x))) % 16.13/16.32 (step @p618 :rule cnf_or_pos :args (@t649)) % 16.13/16.32 (step @p619 :rule reordering :premises (@p618) :args ((or @t644 @t630 @t633 (not @t649)))) % 16.13/16.32 (step @p620 :rule bool-double-not-elim :args (@t640)) % 16.13/16.32 (step @p621 :rule refl :args (@t642)) % 16.13/16.32 (step @p622 :rule nary_cong :premises (@p621 @p620) :args ((or @t642 (not @t641)))) % 16.13/16.32 (step @p623 :rule cnf_or_neg :args (@t642 0)) % 16.13/16.32 (step @p624 :rule eq_resolve :premises (@p623 @p622)) % 16.13/16.32 (step @p625 :rule reordering :premises (@p624) :args ((or @t640 @t642))) % 16.13/16.32 (step @p626 :rule bool-double-not-elim :args (@t632)) % 16.13/16.32 (step @p627 :rule refl :args (@t634)) % 16.13/16.32 (step @p628 :rule nary_cong :premises (@p627 @p626) :args ((or @t634 (not @t633)))) % 16.13/16.32 (step @p629 :rule cnf_or_neg :args (@t634 0)) % 16.13/16.32 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 16.13/16.32 (step @p631 :rule reordering :premises (@p630) :args ((or @t632 @t634))) % 16.13/16.32 (step @p632 :rule chain_m_resolution :premises (@p591 @p631 @p625 @p619 @p617 @p616 @p592 @p588 @p577 @p576) :args (@t645 (@list false false true false true true false true false) (@list @t634 @t642 @t632 @t649 @t640 @t630 @t639 @t643 @t628))) % 16.13/16.32 (step @p633 :rule refl :args (@t650)) % 16.13/16.32 (step @p634 :rule bool-double-not-elim :args (@t625)) % 16.13/16.32 (step @p635 :rule nary_cong :premises (@p634 @p633) :args ((or (not @t651) @t650))) % 16.13/16.32 (assume-push @p1248 @t651) % 16.13/16.32 (step @p637 :rule skolemize :premises (@p1248)) % 16.13/16.32 (step-pop @p1249 :rule scope :premises (@p637)) % 16.13/16.32 (step @p638 :rule process_scope :premises (@p1249) :args (@t650)) % 16.13/16.32 (step @p640 :rule implies_elim :premises (@p638)) % 16.13/16.32 (step @p641 :rule eq_resolve :premises (@p640 @p635)) % 16.13/16.32 (step @p642 :rule chain_m_resolution :premises (@p641 @p632) :args (@t625 @t610 (@list @t645))) % 16.13/16.32 (step @p643 :rule cnf_or_neg :args (@t677 0)) % 16.13/16.32 (step @p644 :rule cnf_or_neg :args (@t677 1)) % 16.13/16.32 (step @p645 :rule cnf_or_neg :args (@t677 2)) % 16.13/16.32 (step @p646 :rule cnf_or_neg :args (@t677 3)) % 16.13/16.32 (step @p647 :rule cnf_or_neg :args (@t677 4)) % 16.13/16.32 (step @p648 :rule cnf_or_neg :args (@t677 5)) % 16.13/16.32 (step @p649 :rule cnf_or_neg :args (@t677 6)) % 16.13/16.32 (step @p650 :rule cnf_or_neg :args (@t677 7)) % 16.13/16.32 (step @p651 :rule cnf_or_neg :args (@t677 8)) % 16.13/16.32 (step @p652 :rule bool-double-not-elim :args (@t655)) % 16.13/16.32 (step @p653 :rule bool-double-not-elim :args (@t659)) % 16.13/16.32 (step @p654 :rule refl :args (@t678)) % 16.13/16.32 (step @p655 :rule refl :args (@t665)) % 16.13/16.32 (step @p656 :rule nary_cong :premises (@p655 @p654 @p653 @p652) :args ((or @t665 @t678 @t680 @t679))) % 16.13/16.32 (step @p657 :rule cnf_and_neg :args (@t665)) % 16.13/16.32 (step @p658 :rule eq_resolve :premises (@p657 @p656)) % 16.13/16.32 (step @p659 :rule reordering :premises (@p658) :args ((or @t659 @t655 @t665 @t678))) % 16.13/16.32 (step @p660 :rule refl :args (@t681)) % 16.13/16.32 (step @p661 :rule refl :args (@t656)) % 16.13/16.32 (step @p662 :rule refl :args (@t669)) % 16.13/16.32 (step @p663 :rule nary_cong :premises (@p662 @p661 @p660 @p653) :args ((or @t669 @t656 @t681 @t680))) % 16.13/16.32 (step @p664 :rule cnf_and_neg :args (@t669)) % 16.13/16.32 (step @p665 :rule eq_resolve :premises (@p664 @p663)) % 16.13/16.32 (step @p666 :rule reordering :premises (@p665) :args ((or @t659 @t656 @t669 @t681))) % 16.13/16.32 (step @p667 :rule cnf_and_neg :args (@t667)) % 16.13/16.32 (step @p668 :rule reordering :premises (@p667) :args ((or @t656 @t667 (not @t666)))) % 16.13/16.32 (step @p669 :rule refl :args (@t682)) % 16.13/16.32 (step @p670 :rule refl :args (@t663)) % 16.13/16.32 (step @p671 :rule nary_cong :premises (@p670 @p661 @p669 @p653) :args ((or @t663 @t656 @t682 @t680))) % 16.13/16.32 (step @p672 :rule cnf_and_neg :args (@t663)) % 16.13/16.32 (step @p673 :rule eq_resolve :premises (@p672 @p671)) % 16.13/16.32 (step @p674 :rule reordering :premises (@p673) :args ((or @t659 @t656 @t663 @t682))) % 16.13/16.32 (step @p675 :rule aci_norm :args ((= (or @t229 @t529) @t683))) % 16.13/16.32 (step @p676 :rule refl :args (@t529)) % 16.13/16.32 (step @p677 :rule bool-double-not-elim :args (@t229)) % 16.13/16.32 (step @p678 :rule nary_cong :premises (@p677 @p676) :args ((or @t684 @t529))) % 16.13/16.32 (step @p679 :rule bool-impl-elim :args (@t530 @t529)) % 16.13/16.32 (step @p680 :rule trans :premises (@p679 @p678)) % 16.13/16.32 (step @p681 :rule trans :premises (@p680 @p675)) % 16.13/16.32 (step @p682 :rule cong :premises (@p681) :args (@t531)) % 16.13/16.32 (step @p683 :rule and_elim :premises (@p519) :args (2)) % 16.13/16.32 (step @p684 :rule eq_resolve :premises (@p683 @p682)) % 16.13/16.32 (step @p685 :rule instantiate :premises (@p684) :args ((@list tptp.v_x @t658))) % 16.13/16.32 (step @p686 :rule cnf_or_pos :args (@t685)) % 16.13/16.32 (step @p687 :rule reordering :premises (@p686) :args ((or @t668 @t662 @t666 (not @t685)))) % 16.13/16.32 (step @p688 :rule chain_m_resolution :premises (@p687 @p685 @p674 @p668 @p666 @p659) :args ((or @t659 @t669 @t667 @t665 @t663 @t678) (@list false true true true false) (@list @t685 @t662 @t666 @t668 @t655))) % 16.13/16.32 (step @p689 :rule instantiate :premises (@p684) :args ((@list @t654 @t658))) % 16.13/16.32 (step @p690 :rule cnf_or_pos :args (@t686)) % 16.13/16.32 (step @p691 :rule reordering :premises (@p690) :args ((or @t676 @t672 @t664 (not @t686)))) % 16.13/16.32 (step @p692 :rule refl :args (@t687)) % 16.13/16.32 (step @p693 :rule refl :args (@t673)) % 16.13/16.32 (step @p694 :rule nary_cong :premises (@p693 @p692 @p652 @p653) :args ((or @t673 @t687 @t679 @t680))) % 16.13/16.32 (step @p695 :rule cnf_and_neg :args (@t673)) % 16.13/16.32 (step @p696 :rule eq_resolve :premises (@p695 @p694)) % 16.13/16.32 (step @p697 :rule reordering :premises (@p696) :args ((or @t659 @t655 @t673 @t687))) % 16.13/16.32 (step @p698 :rule chain_m_resolution :premises (@p687 @p685 @p674 @p668 @p666 @p697 @p691 @p689 @p688) :args ((or @t676 @t659 @t673 @t669 @t667 @t665 @t663) (@list false true true true false false false true) (@list @t685 @t662 @t666 @t668 @t655 @t672 @t686 @t664))) % 16.13/16.32 (step @p699 :rule cnf_and_neg :args (@t675)) % 16.13/16.32 (step @p700 :rule reordering :premises (@p699) :args ((or @t675 @t661 (not @t674)))) % 16.13/16.32 (step @p701 :rule bool-double-not-elim :args (@t676)) % 16.13/16.32 (step @p702 :rule refl :args (@t661)) % 16.13/16.32 (step @p703 :rule nary_cong :premises (@p702 @p661 @p701) :args ((or @t661 @t656 (not @t688)))) % 16.13/16.32 (assume-push @p1250 @t659) % 16.13/16.32 (assume-push @p1251 @t655) % 16.13/16.32 (assume-push @p1252 @t688) % 16.13/16.32 (step @p707 :rule evaluate :args ((= false true))) % 16.13/16.32 (step @p708 :rule symm :premises (@p1251)) % 16.13/16.32 (step @p709 :rule trans :premises (@p708 @p1250)) % 16.13/16.32 (step @p710 :rule true_intro :premises (@p709)) % 16.13/16.32 (step @p711 :rule false_intro :premises (@p1252)) % 16.13/16.32 (step @p712 :rule symm :premises (@p711)) % 16.13/16.32 (step @p713 :rule trans :premises (@p712 @p710)) % 16.13/16.32 (step @p714 false :rule eq_resolve :premises (@p713 @p707)) % 16.13/16.32 (step-pop @p1253 :rule scope :premises (@p714)) % 16.13/16.32 (step-pop @p1254 :rule scope :premises (@p1253)) % 16.13/16.32 (step-pop @p1255 :rule scope :premises (@p1254)) % 16.13/16.32 (step @p715 :rule process_scope :premises (@p1255) :args (false)) % 16.13/16.32 (step @p719 :rule not_and :premises (@p715)) % 16.13/16.32 (step @p720 :rule eq_resolve :premises (@p719 @p703)) % 16.13/16.32 (step @p721 :rule reordering :premises (@p720) :args ((or @t676 @t656 @t661))) % 16.13/16.32 (step @p722 :rule refl :args (@t689)) % 16.13/16.32 (step @p723 :rule refl :args (@t671)) % 16.13/16.32 (step @p724 :rule nary_cong :premises (@p723 @p702 @p722 @p652) :args ((or @t671 @t661 @t689 @t679))) % 16.13/16.32 (step @p725 :rule cnf_and_neg :args (@t671)) % 16.13/16.32 (step @p726 :rule eq_resolve :premises (@p725 @p724)) % 16.13/16.32 (step @p727 :rule reordering :premises (@p726) :args ((or @t655 @t661 @t671 @t689))) % 16.13/16.32 (step @p728 :rule refl :args (@t690)) % 16.13/16.32 (step @p729 :rule refl :args (@t660)) % 16.13/16.32 (step @p730 :rule nary_cong :premises (@p729 @p702 @p728 @p652) :args ((or @t660 @t661 @t690 @t679))) % 16.13/16.32 (step @p731 :rule cnf_and_neg :args (@t660)) % 16.13/16.32 (step @p732 :rule eq_resolve :premises (@p731 @p730)) % 16.13/16.32 (step @p733 :rule reordering :premises (@p732) :args ((or @t655 @t661 @t660 @t690))) % 16.13/16.32 (step @p734 :rule refl :args (@t657)) % 16.13/16.32 (step @p735 :rule refl :args (@t670)) % 16.13/16.32 (step @p736 :rule eq-symm :args (@t654 tptp.v_x)) % 16.13/16.32 (step @p737 :rule nary_cong :premises (@p736 @p735 @p734) :args (@t692)) % 16.13/16.32 (step @p738 :rule refl :args (@t693)) % 16.13/16.32 (step @p739 :rule cong :premises (@p738 @p737) :args ((=> @t693 @t692))) % 16.13/16.32 (assume-push @p1256 @t693) % 16.13/16.32 (step @p741 :rule instantiate :premises (@p684) :args ((@list @t654 tptp.v_x))) % 16.13/16.32 (step-pop @p1257 :rule scope :premises (@p741)) % 16.13/16.32 (step @p742 :rule process_scope :premises (@p1257) :args (@t692)) % 16.13/16.32 (step @p744 :rule eq_resolve :premises (@p742 @p739)) % 16.13/16.32 (step @p745 :rule implies_elim :premises (@p744)) % 16.13/16.32 (step @p746 :rule chain_m_resolution :premises (@p745 @p684) :args (@t694 @t610 (@list @t693))) % 16.13/16.32 (step @p747 :rule cnf_or_pos :args (@t694)) % 16.13/16.32 (step @p748 :rule reordering :premises (@p747) :args ((or @t670 @t657 @t674 (not @t694)))) % 16.13/16.32 (step @p749 :rule chain_m_resolution :premises (@p748 @p746 @p733 @p727 @p721) :args ((or @t676 @t674 @t661 @t671 @t660) (@list false true true true) (@list @t694 @t657 @t670 @t655))) % 16.13/16.32 (step @p750 :rule chain_m_resolution :premises (@p749 @p700 @p698 @p651 @p650 @p649 @p648 @p647 @p646 @p645 @p644 @p643) :args (@t677 (@list true false true true true true true true true true true) (@list @t674 @t659 @t660 @t663 @t665 @t667 @t669 @t671 @t673 @t675 @t676))) % 16.13/16.32 (step @p751 :rule refl :args (@t695)) % 16.13/16.32 (step @p752 :rule bool-double-not-elim :args (@t653)) % 16.13/16.32 (step @p753 :rule nary_cong :premises (@p752 @p751) :args ((or (not @t696) @t695))) % 16.13/16.32 (step @p754 :rule eq-symm :args (@t654 tptp.v_y)) % 16.13/16.32 (step @p755 :rule cong :premises (@p754) :args (@t698)) % 16.13/16.32 (step @p756 :rule eq-symm :args (@t658 tptp.v_y)) % 16.13/16.32 (step @p757 :rule nary_cong :premises (@p756 @p734 @p755) :args (@t700)) % 16.13/16.32 (step @p758 :rule cong :premises (@p756) :args (@t701)) % 16.13/16.32 (step @p759 :rule refl :args (@t662)) % 16.13/16.32 (step @p760 :rule nary_cong :premises (@p754 @p759 @p758) :args (@t702)) % 16.13/16.32 (step @p761 :rule refl :args (@t664)) % 16.13/16.32 (step @p762 :rule nary_cong :premises (@p761 @p758 @p755) :args (@t703)) % 16.13/16.32 (step @p763 :rule eq-symm :args (@t658 tptp.v_x)) % 16.13/16.32 (step @p764 :rule nary_cong :premises (@p763 @p754) :args (@t704)) % 16.13/16.32 (step @p765 :rule refl :args (@t668)) % 16.13/16.32 (step @p766 :rule nary_cong :premises (@p754 @p765 @p758) :args (@t705)) % 16.13/16.32 (step @p767 :rule nary_cong :premises (@p756 @p735 @p755) :args (@t706)) % 16.13/16.32 (step @p768 :rule refl :args (@t672)) % 16.13/16.32 (step @p769 :rule nary_cong :premises (@p768 @p755 @p758) :args (@t707)) % 16.13/16.32 (step @p770 :rule nary_cong :premises (@p736 @p756) :args (@t708)) % 16.13/16.32 (step @p771 :rule refl :args (@t676)) % 16.13/16.32 (step @p772 :rule nary_cong :premises (@p771 @p770 @p769 @p767 @p766 @p764 @p762 @p760 @p757) :args (@t709)) % 16.13/16.32 (step @p773 :rule cong :premises (@p772) :args (@t710)) % 16.13/16.32 (step @p774 :rule refl :args (@t696)) % 16.13/16.32 (step @p775 :rule cong :premises (@p774 @p773) :args ((=> @t696 @t710))) % 16.13/16.32 (assume-push @p1258 @t696) % 16.13/16.32 (step @p777 :rule skolemize :premises (@p1258)) % 16.13/16.32 (step-pop @p1259 :rule scope :premises (@p777)) % 16.13/16.32 (step @p778 :rule process_scope :premises (@p1259) :args (@t710)) % 16.13/16.32 (step @p780 :rule eq_resolve :premises (@p778 @p775)) % 16.13/16.32 (step @p781 :rule implies_elim :premises (@p780)) % 16.13/16.32 (step @p782 :rule eq_resolve :premises (@p781 @p753)) % 16.13/16.32 (step @p783 :rule chain_m_resolution :premises (@p782 @p750) :args (@t653 @t610 (@list @t677))) % 16.13/16.32 (step @p784 :rule aci_norm :args ((= (and (and @t625 @t584 @t720) @t653) (and @t653 @t625 @t584 @t720)))) % 16.13/16.32 (step @p785 :rule aci_norm :args ((= (or @t229 @t554) @t652))) % 16.13/16.32 (step @p786 :rule refl :args (@t554)) % 16.13/16.32 (step @p787 :rule nary_cong :premises (@p677 @p786) :args ((or @t684 @t554))) % 16.13/16.32 (step @p788 :rule bool-impl-elim :args (@t530 @t554)) % 16.13/16.32 (step @p789 :rule trans :premises (@p788 @p787)) % 16.13/16.32 (step @p790 :rule trans :premises (@p789 @p785)) % 16.13/16.32 (step @p791 :rule cong :premises (@p790) :args (@t555)) % 16.13/16.32 (step @p792 :rule aci_norm :args ((= (or false @t720) @t720))) % 16.13/16.32 (step @p793 :rule quant-merge-prenex :args ((= (forall @t723 @t722) @t720))) % 16.13/16.32 (step @p794 :rule quant-unused-vars :args ((= @t724 @t712))) % 16.13/16.32 (step @p795 :rule alpha_equiv :args (@t725 (@list @t713) @t727)) % 16.13/16.32 (step @p796 :rule quant-unused-vars :args ((= @t728 @t715))) % 16.13/16.32 (step @p797 :rule nary_cong :premises (@p796 @p795 @p794) :args (@t729)) % 16.13/16.32 (step @p798 :rule quant-miniscope-and :args ((= @t730 @t729))) % 16.13/16.32 (step @p799 :rule trans :premises (@p798 @p797)) % 16.13/16.32 (step @p800 :rule refl :args (@t717)) % 16.13/16.32 (step @p801 :rule refl :args (@t718)) % 16.13/16.32 (step @p802 :rule nary_cong :premises (@p801 @p800 @p799) :args (@t731)) % 16.13/16.32 (step @p803 :rule quant-miniscope-or :args ((= @t722 @t731))) % 16.13/16.32 (step @p804 :rule trans :premises (@p803 @p802)) % 16.13/16.32 (step @p805 :rule symm :premises (@p804)) % 16.13/16.32 (step @p806 :rule cong :premises (@p805) :args (@t738)) % 16.13/16.32 (step @p807 :rule trans :premises (@p806 @p793)) % 16.13/16.32 (step @p808 :rule evaluate :args ((not true))) % 16.13/16.32 (step @p809 :rule eq-refl :args (tptp.v_y)) % 16.13/16.32 (step @p810 :rule cong :premises (@p809) :args (@t739)) % 16.13/16.32 (step @p811 :rule trans :premises (@p810 @p808)) % 16.13/16.32 (step @p812 :rule quant-var-elim-eq :args ((= (forall @t743 (or @t742 @t741)) @t739))) % 16.13/16.32 (step @p813 :rule refl :args (@t741)) % 16.13/16.32 (step @p814 :rule eq-symm :args (tptp.v_y @t740)) % 16.13/16.32 (step @p815 :rule cong :premises (@p814) :args (@t741)) % 16.13/16.32 (step @p816 :rule nary_cong :premises (@p815 @p813) :args (@t744)) % 16.13/16.32 (step @p817 :rule aci_norm :args ((= @t741 @t744))) % 16.13/16.32 (step @p818 :rule trans :premises (@p817 @p816)) % 16.13/16.32 (step @p819 :rule cong :premises (@p818) :args (@t745)) % 16.13/16.32 (step @p820 :rule trans :premises (@p819 @p812)) % 16.13/16.32 (step @p821 :rule trans :premises (@p820 @p811)) % 16.13/16.32 (step @p822 :rule nary_cong :premises (@p821 @p807) :args (@t746)) % 16.13/16.32 (step @p823 :rule trans :premises (@p822 @p792)) % 16.13/16.32 (step @p824 :rule quant-miniscope-or :args ((= (forall @t748 @t747) @t746))) % 16.13/16.32 (step @p825 :rule aci_norm :args ((= @t749 @t747))) % 16.13/16.32 (step @p826 :rule cong :premises (@p825) :args ((forall @t748 @t749))) % 16.13/16.32 (step @p827 :rule trans :premises (@p826 @p824)) % 16.13/16.32 (step @p828 :rule trans :premises (@p827 @p823)) % 16.13/16.32 (step @p829 :rule refl :args (@t712)) % 16.13/16.32 (step @p830 :rule refl :args (@t735)) % 16.13/16.32 (step @p831 :rule eq-symm :args (@t711 tptp.v_x)) % 16.13/16.32 (step @p832 :rule cong :premises (@p831) :args (@t750)) % 16.13/16.32 (step @p833 :rule nary_cong :premises (@p832 @p830 @p829) :args (@t751)) % 16.13/16.32 (step @p834 :rule eq-symm :args (@t711 tptp.v_y)) % 16.13/16.32 (step @p835 :rule refl :args (@t718)) % 16.13/16.32 (step @p836 :rule eq-symm :args (@t740 tptp.v_y)) % 16.13/16.32 (step @p837 :rule cong :premises (@p836) :args (@t742)) % 16.13/16.32 (step @p838 :rule nary_cong :premises (@p837 @p835 @p834 @p833) :args (@t752)) % 16.13/16.32 (step @p839 :rule cong :premises (@p838) :args (@t753)) % 16.13/16.32 (step @p840 :rule trans :premises (@p839 @p828)) % 16.13/16.32 (step @p841 :rule aci_norm :args ((= (or false @t584) @t584))) % 16.13/16.32 (step @p842 :rule refl :args (@t579)) % 16.13/16.32 (step @p843 :rule eq-symm :args (@t577 tptp.v_y)) % 16.13/16.32 (step @p844 :rule refl :args (@t580)) % 16.13/16.32 (step @p845 :rule refl :args (@t581)) % 16.13/16.32 (step @p846 :rule refl :args (@t582)) % 16.13/16.32 (step @p847 :rule nary_cong :premises (@p846 @p845 @p844 @p843 @p842) :args (@t755)) % 16.13/16.32 (step @p848 :rule aci_norm :args ((= @t757 @t755))) % 16.13/16.32 (step @p849 :rule trans :premises (@p848 @p847)) % 16.13/16.32 (step @p850 :rule cong :premises (@p849) :args (@t758)) % 16.13/16.32 (step @p851 :rule quant-merge-prenex :args ((= (forall @t761 @t760) @t758))) % 16.13/16.32 (step @p852 :rule alpha_equiv :args (@t762 (@list @t577) @t603)) % 16.13/16.32 (step @p853 :rule refl :args (@t581)) % 16.13/16.32 (step @p854 :rule refl :args (@t582)) % 16.13/16.32 (step @p855 :rule nary_cong :premises (@p854 @p853 @p852) :args (@t763)) % 16.13/16.32 (step @p856 :rule quant-miniscope-or :args ((= @t760 @t763))) % 16.13/16.32 (step @p857 :rule trans :premises (@p856 @p855)) % 16.13/16.32 (step @p858 :rule symm :premises (@p857)) % 16.13/16.32 (step @p859 :rule cong :premises (@p858) :args (@t767)) % 16.13/16.32 (step @p860 :rule trans :premises (@p859 @p851)) % 16.13/16.32 (step @p861 :rule trans :premises (@p860 @p850)) % 16.13/16.32 (step @p862 :rule quant-var-elim-eq :args ((= (forall @t771 (or @t770 @t769)) @t739))) % 16.13/16.32 (step @p863 :rule refl :args (@t769)) % 16.13/16.32 (step @p864 :rule eq-symm :args (tptp.v_y @t768)) % 16.13/16.32 (step @p865 :rule cong :premises (@p864) :args (@t769)) % 16.13/16.32 (step @p866 :rule nary_cong :premises (@p865 @p863) :args (@t772)) % 16.13/16.32 (step @p867 :rule aci_norm :args ((= @t769 @t772))) % 16.13/16.32 (step @p868 :rule trans :premises (@p867 @p866)) % 16.13/16.32 (step @p869 :rule cong :premises (@p868) :args (@t773)) % 16.13/16.32 (step @p870 :rule trans :premises (@p869 @p862)) % 16.13/16.32 (step @p871 :rule trans :premises (@p870 @p811)) % 16.13/16.32 (step @p872 :rule nary_cong :premises (@p871 @p861) :args (@t774)) % 16.13/16.32 (step @p873 :rule trans :premises (@p872 @p841)) % 16.13/16.32 (step @p874 :rule quant-miniscope-or :args ((= (forall @t776 @t775) @t774))) % 16.13/16.32 (step @p875 :rule aci_norm :args ((= @t777 @t775))) % 16.13/16.32 (step @p876 :rule cong :premises (@p875) :args (@t778)) % 16.13/16.32 (step @p877 :rule quant_var_reordering :args ((= (forall @t779 @t777) @t778))) % 16.13/16.32 (step @p878 :rule trans :premises (@p877 @p876 @p874)) % 16.13/16.32 (step @p879 :rule trans :premises (@p878 @p873)) % 16.13/16.32 (step @p880 :rule refl :args (@t765)) % 16.13/16.32 (step @p881 :rule eq-symm :args (@t578 tptp.v_y)) % 16.13/16.32 (step @p882 :rule eq-symm :args (@t768 tptp.v_y)) % 16.13/16.32 (step @p883 :rule cong :premises (@p882) :args (@t770)) % 16.13/16.32 (step @p884 :rule nary_cong :premises (@p883 @p846 @p881 @p880) :args (@t780)) % 16.13/16.32 (step @p885 :rule cong :premises (@p884) :args (@t781)) % 16.13/16.32 (step @p886 :rule trans :premises (@p885 @p879)) % 16.13/16.32 (step @p887 :rule quant-merge-prenex :args ((= (forall @t784 @t783) @t625))) % 16.13/16.32 (step @p888 :rule quant-unused-vars :args ((= @t785 @t616))) % 16.13/16.32 (step @p889 :rule alpha_equiv :args (@t786 (@list @t617) @t788)) % 16.13/16.32 (step @p890 :rule quant-unused-vars :args ((= @t789 @t619))) % 16.13/16.32 (step @p891 :rule nary_cong :premises (@p890 @p889 @p888) :args (@t790)) % 16.13/16.32 (step @p892 :rule quant-miniscope-and :args ((= @t791 @t790))) % 16.13/16.32 (step @p893 :rule trans :premises (@p892 @p891)) % 16.13/16.32 (step @p894 :rule refl :args (@t621)) % 16.13/16.32 (step @p895 :rule refl :args (@t622)) % 16.13/16.32 (step @p896 :rule refl :args (@t623)) % 16.13/16.32 (step @p897 :rule nary_cong :premises (@p896 @p895 @p894 @p893) :args (@t792)) % 16.13/16.32 (step @p898 :rule quant-miniscope-or :args ((= @t783 @t792))) % 16.13/16.32 (step @p899 :rule trans :premises (@p898 @p897)) % 16.13/16.32 (step @p900 :rule symm :premises (@p899)) % 16.13/16.32 (step @p901 :rule cong :premises (@p900) :args ((forall @t784 (or @t623 @t622 @t621 (and @t619 @t795 @t616))))) % 16.13/16.32 (step @p902 :rule trans :premises (@p901 @p887)) % 16.13/16.32 (step @p903 :rule refl :args (@t612)) % 16.13/16.32 (step @p904 :rule eq-symm :args (@t611 tptp.v_x)) % 16.13/16.32 (step @p905 :rule refl :args (@t615)) % 16.13/16.32 (step @p906 :rule nary_cong :premises (@p905 @p904 @p903) :args (@t797)) % 16.13/16.32 (step @p907 :rule refl :args (@t795)) % 16.13/16.32 (step @p908 :rule eq-symm :args (@t614 tptp.v_x)) % 16.13/16.32 (step @p909 :rule cong :premises (@p908) :args (@t798)) % 16.13/16.32 (step @p910 :rule nary_cong :premises (@p909 @p904 @p903) :args (@t799)) % 16.13/16.32 (step @p911 :rule nary_cong :premises (@p910 @p907 @p906) :args (@t800)) % 16.13/16.32 (step @p912 :rule eq-symm :args (@t614 tptp.v_y)) % 16.13/16.32 (step @p913 :rule eq-symm :args (@t611 tptp.v_y)) % 16.13/16.32 (step @p914 :rule refl :args (@t623)) % 16.13/16.32 (step @p915 :rule nary_cong :premises (@p914 @p913 @p912 @p911) :args (@t801)) % 16.13/16.32 (step @p916 :rule cong :premises (@p915) :args (@t802)) % 16.13/16.32 (step @p917 :rule trans :premises (@p916 @p902)) % 16.13/16.32 (step @p918 :rule nary_cong :premises (@p917 @p886 @p840) :args ((and @t802 @t781 @t753))) % 16.13/16.32 (step @p919 :rule alpha_equiv :args (@t808 @t809 (@list @t740 @t711))) % 16.13/16.32 (step @p920 :rule alpha_equiv :args (@t814 @t809 (@list @t578 @t768))) % 16.13/16.32 (step @p921 :rule alpha_equiv :args (@t821 @t809 (@list @t611 @t614))) % 16.13/16.32 (step @p922 :rule nary_cong :premises (@p921 @p920 @p919) :args (@t822)) % 16.13/16.32 (step @p923 :rule quant-miniscope-and :args ((= (forall @t169 (and @t820 @t813 @t807)) @t822))) % 16.13/16.32 (step @p924 :rule trans :premises (@p923 @p922)) % 16.13/16.32 (step @p925 :rule trans :premises (@p924 @p918)) % 16.13/16.32 (step @p926 :rule aci_norm :args ((= (or (or @t538 @t806 @t539) @t805) @t807))) % 16.13/16.32 (step @p927 :rule refl :args (@t805)) % 16.13/16.32 (step 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16.13/16.32 (step @p982 :rule nary_cong :premises (@p981 @p979) :args (@t833)) % 16.13/16.32 (step @p983 :rule aci_norm :args ((= @t830 @t833))) % 16.13/16.32 (step @p984 :rule trans :premises (@p983 @p982)) % 16.13/16.32 (step @p985 :rule cong :premises (@p984) :args (@t834)) % 16.13/16.32 (step @p986 :rule trans :premises (@p985 @p978)) % 16.13/16.32 (step @p987 :rule trans :premises (@p986 @p811)) % 16.13/16.32 (step @p988 :rule refl :args (@t556)) % 16.13/16.32 (step @p989 :rule nary_cong :premises (@p988 @p987) :args (@t835)) % 16.13/16.32 (step @p990 :rule trans :premises (@p989 @p977)) % 16.13/16.32 (step @p991 :rule quant-miniscope-or :args ((= (forall @t832 @t836) @t835))) % 16.13/16.32 (step @p992 :rule aci_norm :args ((= @t837 @t836))) % 16.13/16.32 (step @p993 :rule cong :premises (@p992) :args ((forall @t832 @t837))) % 16.13/16.32 (step @p994 :rule trans :premises (@p993 @p991)) % 16.13/16.32 (step @p995 :rule trans :premises (@p994 @p990)) % 16.13/16.32 (step @p996 :rule 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(@p1009) :args (@t843)) % 16.13/16.32 (step @p1011 :rule nary_cong :premises (@p1010 @p1008) :args (@t846)) % 16.13/16.32 (step @p1012 :rule aci_norm :args ((= @t843 @t846))) % 16.13/16.32 (step @p1013 :rule trans :premises (@p1012 @p1011)) % 16.13/16.32 (step @p1014 :rule cong :premises (@p1013) :args (@t847)) % 16.13/16.32 (step @p1015 :rule trans :premises (@p1014 @p1007)) % 16.13/16.32 (step @p1016 :rule trans :premises (@p1015 @p811)) % 16.13/16.32 (step @p1017 :rule refl :args (@t804)) % 16.13/16.32 (step @p1018 :rule nary_cong :premises (@p1017 @p1016) :args (@t848)) % 16.13/16.32 (step @p1019 :rule trans :premises (@p1018 @p1006)) % 16.13/16.32 (step @p1020 :rule quant-miniscope-or :args ((= (forall @t845 (or @t804 @t843)) @t848))) % 16.13/16.32 (step @p1021 :rule trans :premises (@p1020 @p1019)) % 16.13/16.32 (step @p1022 :rule eq-symm :args (@t842 tptp.v_y)) % 16.13/16.32 (step @p1023 :rule cong :premises (@p1022) :args (@t844)) % 16.13/16.32 (step @p1024 :rule nary_cong :premises (@p1017 @p1023) :args (@t849)) % 16.13/16.32 (step @p1025 :rule cong :premises (@p1024) :args (@t850)) % 16.13/16.32 (step @p1026 :rule trans :premises (@p1025 @p1021)) % 16.13/16.32 (step @p1027 :rule nary_cong :premises (@p1026 @p1005 @p1000) :args ((and @t850 @t841 @t839))) % 16.13/16.32 (step @p1028 :rule alpha_equiv :args (@t852 @t603 (@list @t829))) % 16.13/16.32 (step @p1029 :rule alpha_equiv :args (@t854 @t603 @t727)) % 16.13/16.32 (step @p1030 :rule alpha_equiv :args (@t856 @t603 (@list @t842))) % 16.13/16.32 (step @p1031 :rule nary_cong :premises (@p1030 @p1029 @p1028) :args (@t857)) % 16.13/16.32 (step @p1032 :rule quant-miniscope-and :args ((= (forall @t82 (and @t855 @t853 @t851)) @t857))) % 16.13/16.32 (step @p1033 :rule trans :premises (@p1032 @p1031)) % 16.13/16.32 (step @p1034 :rule trans :premises (@p1033 @p1027)) % 16.13/16.32 (step @p1035 :rule bool-impl-elim :args (@t557 @t556)) % 16.13/16.32 (step @p1036 :rule aci_norm :args ((= (or @t858 @t558) @t853))) % 16.13/16.32 (step @p1037 :rule refl :args (@t558)) % 16.13/16.32 (step @p1038 :rule bool-double-not-elim :args (@t557)) % 16.13/16.32 (step @p1039 :rule refl :args (@t605)) % 16.13/16.32 (step @p1040 :rule nary_cong :premises (@p1039 @p1038) :args ((or @t605 @t859))) % 16.13/16.32 (step @p1041 :rule bool-and-de-morgan :args (@t533 @t559 true)) % 16.13/16.32 (step @p1042 :rule trans :premises (@p1041 @p1040)) % 16.13/16.32 (step @p1043 :rule nary_cong :premises (@p1042 @p1037) :args ((or @t860 @t558))) % 16.13/16.32 (step @p1044 :rule trans :premises (@p1043 @p1036)) % 16.13/16.32 (step @p1045 :rule bool-impl-elim :args (@t560 @t558)) % 16.13/16.32 (step @p1046 :rule trans :premises (@p1045 @p1044)) % 16.13/16.32 (step @p1047 :rule bool-impl-elim :args (@t545 @t559)) % 16.13/16.32 (step @p1048 :rule nary_cong :premises (@p1047 @p1046 @p1035) :args (@t561)) % 16.13/16.32 (step @p1049 :rule cong :premises (@p1048) :args (@t562)) % 16.13/16.32 (step @p1050 :rule trans :premises (@p1049 @p1034)) % 16.13/16.32 (step @p1051 :rule refl :args (@t548)) % 16.13/16.32 (step @p1052 :rule cong :premises (@p1051 @p1050) :args (@t563)) % 16.13/16.32 (step @p1053 :rule aci_norm :args ((= (or (or @t764 @t557) @t532) @t810))) % 16.13/16.32 (step @p1054 :rule refl :args (@t532)) % 16.13/16.32 (step @p1055 :rule refl :args (@t764)) % 16.13/16.32 (step @p1056 :rule nary_cong :premises (@p1055 @p1038) :args ((or @t764 @t859))) % 16.13/16.32 (step @p1057 :rule bool-and-de-morgan :args (@t558 @t559 true)) % 16.13/16.32 (step @p1058 :rule trans :premises (@p1057 @p1056)) % 16.13/16.32 (step @p1059 :rule nary_cong :premises (@p1058 @p1054) :args ((or (not @t564) @t532))) % 16.13/16.32 (step @p1060 :rule trans :premises (@p1059 @p1053)) % 16.13/16.32 (step @p1061 :rule bool-impl-elim :args (@t564 @t532)) % 16.13/16.32 (step @p1062 :rule trans :premises (@p1061 @p1060)) % 16.13/16.32 (step @p1063 :rule cong :premises (@p1062) :args (@t565)) % 16.13/16.32 (step @p1064 :rule refl :args 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16.13/16.32 (step @p1079 :rule nary_cong :premises (@p988 @p1078 @p1077 @p1076) :args (@t867)) % 16.13/16.32 (step @p1080 :rule trans :premises (@p1079 @p1066)) % 16.13/16.32 (step @p1081 :rule quant-miniscope-or :args ((= (forall @t864 @t868) @t867))) % 16.13/16.32 (step @p1082 :rule aci_norm :args ((= @t869 @t868))) % 16.13/16.32 (step @p1083 :rule cong :premises (@p1082) :args ((forall @t864 @t869))) % 16.13/16.32 (step @p1084 :rule trans :premises (@p1083 @p1081)) % 16.13/16.32 (step @p1085 :rule trans :premises (@p1084 @p1080)) % 16.13/16.32 (step @p1086 :rule eq-symm :args (@t861 tptp.v_y)) % 16.13/16.32 (step @p1087 :rule cong :premises (@p1086) :args (@t863)) % 16.13/16.32 (step @p1088 :rule nary_cong :premises (@p1087 @p988 @p1078 @p1077) :args (@t870)) % 16.13/16.32 (step @p1089 :rule cong :premises (@p1088) :args (@t871)) % 16.13/16.32 (step @p1090 :rule trans :premises (@p1089 @p1085)) % 16.13/16.32 (step @p1091 :rule refl :args (@t816)) % 16.13/16.32 (step @p1092 :rule eq-symm :args (@t787 tptp.v_y)) % 16.13/16.32 (step @p1093 :rule refl :args (@t817)) % 16.13/16.32 (step @p1094 :rule nary_cong :premises (@p1093 @p1092 @p1091) :args (@t872)) % 16.13/16.32 (step @p1095 :rule cong :premises (@p1094) :args (@t873)) % 16.13/16.32 (step @p1096 :rule aci_norm :args ((= (or @t804 @t552 @t549 false) @t818))) % 16.13/16.32 (step @p1097 :rule quant-var-elim-eq :args ((= (forall @t877 (or @t876 @t875)) @t739))) % 16.13/16.32 (step @p1098 :rule refl :args (@t875)) % 16.13/16.32 (step @p1099 :rule eq-symm :args (tptp.v_y @t874)) % 16.13/16.32 (step @p1100 :rule cong :premises (@p1099) :args (@t875)) % 16.13/16.32 (step @p1101 :rule nary_cong :premises (@p1100 @p1098) :args (@t878)) % 16.13/16.32 (step @p1102 :rule aci_norm :args ((= @t875 @t878))) % 16.13/16.32 (step @p1103 :rule trans :premises (@p1102 @p1101)) % 16.13/16.32 (step @p1104 :rule cong :premises (@p1103) :args (@t879)) % 16.13/16.32 (step @p1105 :rule trans :premises (@p1104 @p1097)) % 16.13/16.32 (step @p1106 :rule trans :premises (@p1105 @p811)) % 16.13/16.32 (step @p1107 :rule nary_cong :premises (@p1017 @p1078 @p1077 @p1106) :args (@t880)) % 16.13/16.32 (step @p1108 :rule trans :premises (@p1107 @p1096)) % 16.13/16.32 (step @p1109 :rule quant-miniscope-or :args ((= (forall @t877 @t881) @t880))) % 16.13/16.32 (step @p1110 :rule aci_norm :args ((= @t882 @t881))) % 16.13/16.32 (step @p1111 :rule cong :premises (@p1110) :args ((forall @t877 @t882))) % 16.13/16.32 (step @p1112 :rule trans :premises (@p1111 @p1109)) % 16.13/16.32 (step @p1113 :rule trans :premises (@p1112 @p1108)) % 16.13/16.32 (step @p1114 :rule eq-symm :args (@t874 tptp.v_y)) % 16.13/16.32 (step @p1115 :rule cong :premises (@p1114) :args (@t876)) % 16.13/16.32 (step @p1116 :rule nary_cong :premises (@p1017 @p1115 @p1078 @p1077) :args (@t883)) % 16.13/16.32 (step @p1117 :rule cong :premises (@p1116) :args (@t884)) % 16.13/16.32 (step @p1118 :rule trans :premises (@p1117 @p1113)) % 16.13/16.32 (step @p1119 :rule nary_cong :premises (@p1118 @p1095 @p1090) :args ((and @t884 @t873 @t871))) % 16.13/16.32 (step @p1120 :rule alpha_equiv :args (@t886 @t603 (@list @t861))) % 16.13/16.32 (step @p1121 :rule alpha_equiv :args (@t888 @t603 @t788)) % 16.13/16.32 (step @p1122 :rule alpha_equiv :args (@t890 @t603 (@list @t874))) % 16.13/16.32 (step @p1123 :rule nary_cong :premises (@p1122 @p1121 @p1120) :args (@t891)) % 16.13/16.32 (step @p1124 :rule quant-miniscope-and :args ((= (forall @t82 (and @t889 @t887 @t885)) @t891))) % 16.13/16.32 (step @p1125 :rule trans :premises (@p1124 @p1123)) % 16.13/16.32 (step @p1126 :rule trans :premises (@p1125 @p1119)) % 16.13/16.32 (step @p1127 :rule aci_norm :args ((= (or @t851 @t567) @t885))) % 16.13/16.32 (step @p1128 :rule refl :args (@t567)) % 16.13/16.32 (step @p1129 :rule bool-and-de-morgan :args (@t557 @t542 true)) % 16.13/16.32 (step @p1130 :rule nary_cong :premises (@p1129 @p1128) :args ((or (not @t568) @t567))) % 16.13/16.32 (step @p1131 :rule trans :premises (@p1130 @p1127)) % 16.13/16.32 (step @p1132 :rule bool-impl-elim :args (@t568 @t567)) % 16.13/16.32 (step @p1133 :rule trans :premises (@p1132 @p1131)) % 16.13/16.32 (step @p1134 :rule aci_norm :args ((= (or @t858 @t532) @t887))) % 16.13/16.32 (step @p1135 :rule nary_cong :premises (@p1042 @p1054) :args ((or @t860 @t532))) % 16.13/16.32 (step @p1136 :rule trans :premises (@p1135 @p1134)) % 16.13/16.32 (step @p1137 :rule bool-impl-elim :args (@t560 @t532)) % 16.13/16.32 (step @p1138 :rule trans :premises (@p1137 @p1136)) % 16.13/16.32 (step @p1139 :rule aci_norm :args ((= (or @t855 @t567) @t889))) % 16.13/16.32 (step @p1140 :rule bool-and-de-morgan :args (@t545 @t557 true)) % 16.13/16.32 (step @p1141 :rule nary_cong :premises (@p1140 @p1128) :args ((or (not @t569) @t567))) % 16.13/16.32 (step @p1142 :rule trans :premises (@p1141 @p1139)) % 16.13/16.32 (step @p1143 :rule bool-impl-elim :args (@t569 @t567)) % 16.13/16.32 (step @p1144 :rule trans :premises (@p1143 @p1142)) % 16.13/16.32 (step @p1145 :rule nary_cong :premises (@p1144 @p1138 @p1133) :args (@t570)) % 16.13/16.32 (step @p1146 :rule cong :premises (@p1145) :args (@t571)) % 16.13/16.32 (step @p1147 :rule trans :premises (@p1146 @p1126)) % 16.13/16.32 (step @p1148 :rule refl :args (@t551)) % 16.13/16.32 (step @p1149 :rule cong :premises (@p1148 @p1147) :args (@t572)) % 16.13/16.32 (step @p1150 :rule nary_cong :premises (@p1149 @p1065 @p1052) :args (@t573)) % 16.13/16.32 (step @p1151 :rule cong :premises (@p1150) :args (@t574)) % 16.13/16.32 (step @p1152 :rule trans :premises (@p1151 @p976)) % 16.13/16.32 (step @p1153 :rule nary_cong :premises (@p1152 @p791) :args (@t575)) % 16.13/16.32 (step @p1154 :rule trans :premises (@p1153 @p784)) % 16.13/16.32 (step @p1155 :rule cong :premises (@p1154) :args (@t576)) % 16.13/16.32 (step @p1156 :rule eq_resolve :premises (@p520 @p1155)) % 16.13/16.32 (step @p1157 :rule not_and :premises (@p1156)) % 16.13/16.32 (step @p1158 :rule chain_m_resolution :premises (@p1157 @p783 @p642 @p570) :args (@t892 (@list false false false) (@list @t653 @t625 @t584))) % 16.13/16.32 (step @p1159 :rule refl :args (@t908)) % 16.13/16.32 (step @p1160 :rule bool-double-not-elim :args (@t720)) % 16.13/16.32 (step @p1161 :rule nary_cong :premises (@p1160 @p1159) :args ((or (not @t892) @t908))) % 16.13/16.32 (assume-push @p1260 @t892) % 16.13/16.32 (step @p1163 :rule skolemize :premises (@p1260)) % 16.13/16.32 (step-pop @p1261 :rule scope :premises (@p1163)) % 16.13/16.32 (step @p1164 :rule process_scope :premises (@p1261) :args (@t908)) % 16.13/16.32 (step @p1166 :rule implies_elim :premises (@p1164)) % 16.13/16.32 (step @p1167 :rule eq_resolve :premises (@p1166 @p1161)) % 16.13/16.32 (step @p1168 :rule chain_m_resolution :premises (@p1167 @p1158) :args (@t908 @t909 (@list @t720))) % 16.13/16.32 (step @p1169 :rule bool-double-not-elim :args (@t905)) % 16.13/16.32 (step @p1170 :rule refl :args (@t907)) % 16.13/16.32 (step @p1171 :rule nary_cong :premises (@p1170 @p1169) :args ((or @t907 (not @t906)))) % 16.13/16.32 (step @p1172 :rule cnf_or_neg :args (@t907 0)) % 16.13/16.32 (step @p1173 :rule eq_resolve :premises (@p1172 @p1171)) % 16.13/16.32 (step @p1174 :rule reordering :premises (@p1173) :args ((or @t905 @t907))) % 16.13/16.32 (step @p1175 :rule chain_m_resolution :premises (@p1174 @p1168) :args (@t905 @t909 @t910)) % 16.13/16.32 (step @p1176 :rule and_elim :premises (@p519) :args (1)) % 16.13/16.32 (step @p1177 :rule instantiate :premises (@p1176) :args ((@list tptp.v_x))) % 16.13/16.32 (step @p1178 :rule bool-double-not-elim :args (@t898)) % 16.13/16.32 (step @p1179 :rule refl :args (@t900)) % 16.13/16.32 (step @p1180 :rule nary_cong :premises (@p1179 @p1178) :args ((or @t900 (not @t899)))) % 16.13/16.32 (step @p1181 :rule cnf_or_neg :args (@t900 0)) % 16.13/16.32 (step @p1182 :rule eq_resolve :premises (@p1181 @p1180)) % 16.13/16.32 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t898 @t900))) % 16.13/16.32 (step @p1184 :rule cnf_or_neg :args (@t900 2)) % 16.13/16.32 (step @p1185 :rule instantiate :premises (@p556) :args ((@list tptp.v_x @t893 @t896))) % 16.13/16.32 (step @p1186 :rule cnf_or_pos :args (@t911)) % 16.13/16.32 (step @p1187 :rule reordering :premises (@p1186) :args ((or @t906 @t899 @t897 (not @t911)))) % 16.13/16.32 (step @p1188 :rule chain_m_resolution :premises (@p1187 @p1185 @p1175 @p1184 @p1183) :args (@t900 (@list false false true false) (@list @t911 @t905 @t897 @t898))) % 16.13/16.32 (step @p1189 :rule cnf_or_neg :args (@t907 2)) % 16.13/16.32 (step @p1190 :rule chain_m_resolution :premises (@p1189 @p1168) :args ((not @t903) @t909 @t910)) % 16.13/16.32 (step @p1191 :rule instantiate :premises (@p556) :args ((@list tptp.v_x @t893 tptp.v_x))) % 16.13/16.32 (step @p1192 :rule cnf_or_pos :args (@t913)) % 16.13/16.32 (step @p1193 :rule reordering :premises (@p1192) :args ((or @t906 @t895 @t912 (not @t913)))) % 16.13/16.32 (step @p1194 :rule chain_m_resolution :premises (@p1193 @p1175 @p1177 @p1191) :args (@t895 @t647 (@list @t905 @t912 @t913))) % 16.13/16.32 (step @p1195 :rule bool-double-not-elim :args (@t894)) % 16.13/16.32 (step @p1196 :rule refl :args (@t914)) % 16.13/16.32 (step @p1197 :rule bool-double-not-elim :args (@t901)) % 16.13/16.32 (step @p1198 :rule refl :args (@t903)) % 16.13/16.32 (step @p1199 :rule nary_cong :premises (@p1198 @p1197 @p1196 @p1195) :args ((or @t903 (not @t902) @t914 (not @t895)))) % 16.13/16.32 (step @p1200 :rule cnf_and_neg :args (@t903)) % 16.13/16.32 (step @p1201 :rule eq_resolve :premises (@p1200 @p1199)) % 16.13/16.32 (step @p1202 :rule reordering :premises (@p1201) :args ((or @t901 @t894 @t903 @t914))) % 16.13/16.32 (step @p1203 :rule chain_m_resolution :premises (@p1202 @p1194 @p1190 @p1188) :args (@t901 (@list true true false) (@list @t894 @t903 @t900))) % 16.13/16.32 (step @p1204 :rule bool-double-not-elim :args (@t912)) % 16.13/16.32 (step @p1205 :rule refl :args (@t902)) % 16.13/16.32 (step @p1206 :rule refl :args (@t906)) % 16.13/16.32 (step @p1207 :rule nary_cong :premises (@p1206 @p1205 @p1204) :args ((or @t906 @t902 (not @t915)))) % 16.13/16.32 (assume-push @p1262 @t915) % 16.13/16.32 (assume-push @p1263 @t901) % 16.13/16.32 (assume-push @p1264 @t905) % 16.13/16.32 (step @p1211 :rule evaluate :args ((= true false))) % 16.13/16.32 (step @p1212 :rule false_intro :premises (@p1177)) % 16.13/16.32 (step @p598 :rule refl :args (tptp.v_L)) % 16.13/16.32 (step @p1213 :rule symm :premises (@p1263)) % 16.13/16.32 (step @p1214 :rule refl :args (tptp.v_x)) % 16.13/16.32 (step @p600 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 16.13/16.32 (step @p1215 :rule cong :premises (@p600 @p600 @p1214 @p1213) :args (@t904)) % 16.13/16.32 (step @p602 :rule refl :args (@t21)) % 16.13/16.32 (step @p1216 :rule cong :premises (@p602 @p1215 @p598) :args (@t905)) % 16.13/16.32 (step @p1217 :rule true_intro :premises (@p1264)) % 16.13/16.32 (step @p1218 :rule symm :premises (@p1217)) % 16.13/16.32 (step @p1219 :rule trans :premises (@p1218 @p1216 @p1212)) % 16.13/16.32 (step @p1220 false :rule eq_resolve :premises (@p1219 @p1211)) % 16.13/16.32 (step-pop @p1265 :rule scope :premises (@p1220)) % 16.13/16.32 (step-pop @p1266 :rule scope :premises (@p1265)) % 16.13/16.32 (step-pop @p1267 :rule scope :premises (@p1266)) % 16.13/16.32 (step @p1221 :rule process_scope :premises (@p1267) :args (false)) % 16.13/16.32 (assume-push @p1268 @t905) % 16.13/16.32 (assume-push @p1269 @t901) % 16.13/16.32 (assume-push @p1270 @t915) % 16.13/16.32 (step @p1228 :rule and_intro :premises (@p1177 @p1269 @p1268)) % 16.13/16.32 (step-pop @p1271 :rule scope :premises (@p1228)) % 16.13/16.32 (step-pop @p1272 :rule scope :premises (@p1271)) % 16.13/16.32 (step-pop @p1273 :rule scope :premises (@p1272)) % 16.13/16.32 (step @p1229 :rule process_scope :premises (@p1273) :args (@t916)) % 16.13/16.32 (step @p1233 :rule implies_elim :premises (@p1229)) % 16.13/16.32 (step @p1234 :rule resolution :premises (@p1233 @p1221) :args (true @t916)) % 16.13/16.32 (step @p1235 :rule not_and :premises (@p1234)) % 16.13/16.32 (step @p1236 :rule eq_resolve :premises (@p1235 @p1207)) % 16.13/16.32 (step @p1237 false :rule chain_m_resolution :premises (@p1236 @p1203 @p1177 @p1175) :args (false @t647 (@list @t901 @t912 @t905))) % 16.13/16.32 ) % 16.13/16.32 % SZS output end Proof % 16.13/16.32 % cvc5 exiting %------------------------------------------------------------------------------