%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT115+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 : n006.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 15.97s 16.20s % Output : Proof 15.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT115+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:27:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.65 %----Proving TF0_NAR, FOF, or CNF % 15.97/16.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.97/16.20 --- Run --no-e-matching --full-saturate-quant at 6... % 15.97/16.20 % SZS status Theorem % 15.97/16.20 % SZS output start Proof % 15.97/16.20 ( % 15.97/16.20 (declare-sort $$unsorted 0) % 15.97/16.20 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 15.97/16.20 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 15.97/16.20 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.tc_Nat_Onat $$unsorted) % 15.97/16.20 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.v_L $$unsorted) % 15.97/16.20 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.v_y $$unsorted) % 15.97/16.20 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 15.97/16.20 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.tc_HOL_Obool $$unsorted) % 15.97/16.20 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.v_x $$unsorted) % 15.97/16.20 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 15.97/16.20 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.20 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.97/16.20 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 15.97/16.20 (define @t1 () (@var "V_g_2" $$unsorted)) % 15.97/16.20 (define @t2 () (@var "V_f_2" $$unsorted)) % 15.97/16.20 (define @t3 () (@var "B_x" $$unsorted)) % 15.97/16.20 (define @t4 () (tptp.hAPP @t1 @t3)) % 15.97/16.20 (define @t5 () (tptp.hAPP @t2 @t3)) % 15.97/16.20 (define @t6 () (@list @t3)) % 15.97/16.20 (define @t7 () (@var "V_B_2" $$unsorted)) % 15.97/16.20 (define @t8 () (@var "V_c_2" $$unsorted)) % 15.97/16.20 (define @t9 () (@var "T_a" $$unsorted)) % 15.97/16.20 (define @t10 () (tptp.c_member @t9 @t8 @t7)) % 15.97/16.20 (define @t11 () (@var "V_A_2" $$unsorted)) % 15.97/16.20 (define @t12 () (tptp.c_member @t9 @t8 @t11)) % 15.97/16.20 (define @t13 () (=> (not @t12) @t10)) % 15.97/16.20 (define @t14 () (not @t10)) % 15.97/16.20 (define @t15 () (=> @t12 @t14)) % 15.97/16.20 (define @t16 () (= @t11 @t7)) % 15.97/16.20 (define @t17 () (@var "V_La_2" $$unsorted)) % 15.97/16.20 (define @t18 () (@var "V_ya_2" $$unsorted)) % 15.97/16.20 (define @t19 () (@var "V_xa_2" $$unsorted)) % 15.97/16.20 (define @t20 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t19 @t18)) % 15.97/16.20 (define @t21 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 15.97/16.20 (define @t22 () (tptp.c_member @t21 @t20 @t17)) % 15.97/16.20 (define @t23 () (@var "V_z_2" $$unsorted)) % 15.97/16.20 (define @t24 () (= @t19 @t23)) % 15.97/16.20 (define @t25 () (not @t24)) % 15.97/16.20 (define @t26 () (= @t19 @t18)) % 15.97/16.20 (define @t27 () (not @t26)) % 15.97/16.20 (define @t28 () (= @t18 @t23)) % 15.97/16.20 (define @t29 () (not @t28)) % 15.97/16.20 (define @t30 () (@list @t23 @t17 @t18 @t19)) % 15.97/16.20 (define @t31 () (@var "V_R_2" $$unsorted)) % 15.97/16.20 (define @t32 () (@var "T_b" $$unsorted)) % 15.97/16.20 (define @t33 () (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t18)) % 15.97/16.20 (define @t34 () (tptp.tc_prod @t9 @t32)) % 15.97/16.20 (define @t35 () (@var "V_P_2" $$unsorted)) % 15.97/16.20 (define @t36 () (tptp.c_Recdef_Osame__fst @t9 @t32 @t35 @t31)) % 15.97/16.20 (define @t37 () (@var "V_y_H_2" $$unsorted)) % 15.97/16.20 (define @t38 () (tptp.tc_prod @t34 @t34)) % 15.97/16.20 (define @t39 () (tptp.tc_prod @t32 @t32)) % 15.97/16.20 (define @t40 () (tptp.hBOOL (tptp.hAPP @t35 @t19))) % 15.97/16.20 (define @t41 () (@var "V_r_2" $$unsorted)) % 15.97/16.20 (define @t42 () (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t3)) % 15.97/16.20 (define @t43 () (tptp.tc_prod @t9 @t9)) % 15.97/16.20 (define @t44 () (tptp.c_member @t43 @t42 @t41)) % 15.97/16.20 (define @t45 () (@list @t41 @t9)) % 15.97/16.20 (define @t46 () (@var "B_b" $$unsorted)) % 15.97/16.20 (define @t47 () (@var "B_a" $$unsorted)) % 15.97/16.20 (define @t48 () (tptp.c_Product__Type_OPair @t9 @t32 @t47 @t46)) % 15.97/16.20 (define @t49 () (@list @t47 @t46)) % 15.97/16.20 (define @t50 () (@var "B_x1" $$unsorted)) % 15.97/16.20 (define @t51 () (@var "V_b_H_2" $$unsorted)) % 15.97/16.20 (define @t52 () (@var "V_b_2" $$unsorted)) % 15.97/16.20 (define @t53 () (@var "V_a_H_2" $$unsorted)) % 15.97/16.20 (define @t54 () (@var "V_a_2" $$unsorted)) % 15.97/16.20 (define @t55 () (= @t54 @t53)) % 15.97/16.20 (define @t56 () (tptp.c_Product__Type_OPair @t9 @t32 @t53 @t51)) % 15.97/16.20 (define @t57 () (tptp.c_Product__Type_OPair @t9 @t32 @t54 @t52)) % 15.97/16.20 (define @t58 () (@var "V_b_H" $$unsorted)) % 15.97/16.20 (define @t59 () (@var "V_b" $$unsorted)) % 15.97/16.20 (define @t60 () (@var "V_a_H" $$unsorted)) % 15.97/16.20 (define @t61 () (@var "V_a" $$unsorted)) % 15.97/16.20 (define @t62 () (tptp.hAPP @t11 @t19)) % 15.97/16.20 (define @t63 () (tptp.hBOOL @t62)) % 15.97/16.20 (define @t64 () (tptp.c_member @t9 @t19 @t11)) % 15.97/16.20 (define @t65 () (@list @t11 @t19 @t9)) % 15.97/16.20 (define @t66 () (tptp.c_member @t9 @t54 @t11)) % 15.97/16.20 (define @t67 () (tptp.c_member @t9 @t52 @t11)) % 15.97/16.20 (define @t68 () (= @t54 @t52)) % 15.97/16.20 (define @t69 () (@list @t11 @t9 @t52 @t54)) % 15.97/16.20 (define @t70 () (tptp.c_member @t9 @t18 @t11)) % 15.97/16.20 (define @t71 () (tptp.c_member @t9 @t19 @t7)) % 15.97/16.20 (define @t72 () (@var "V_f1_2" $$unsorted)) % 15.97/16.20 (define @t73 () (@var "T_c" $$unsorted)) % 15.97/16.20 (define @t74 () (tptp.c_Product__Type_OPair @t32 @t73 @t54 @t52)) % 15.97/16.20 (define @t75 () (@var "V_s_2" $$unsorted)) % 15.97/16.20 (define @t76 () (tptp.tc_fun @t21 tptp.tc_HOL_Obool)) % 15.97/16.20 (define @t77 () (tptp.c_member @t76 @t17 tptp.c_Arrow__Order__Mirabelle_OLin)) % 15.97/16.20 (define @t78 () (@var "B_z" $$unsorted)) % 15.97/16.20 (define @t79 () (@var "B_g" $$unsorted)) % 15.97/16.20 (define @t80 () (@var "V_F_2" $$unsorted)) % 15.97/16.20 (define @t81 () (@var "V_a1_2" $$unsorted)) % 15.97/16.20 (define @t82 () (@list @t78)) % 15.97/16.20 (define @t83 () (forall @t82 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t81) @t31) (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t78 (tptp.hAPP @t79 @t78))))) % 15.97/16.20 (define @t84 () (tptp.hAPP (tptp.hAPP @t80 @t79) @t81)) % 15.97/16.20 (define @t85 () (@var "V_a2_2" $$unsorted)) % 15.97/16.20 (define @t86 () (tptp.hAPP (tptp.hAPP @t80 @t85) @t81)) % 15.97/16.20 (define @t87 () (@list @t79)) % 15.97/16.20 (define @t88 () (@list @t85 @t81 @t80 @t31 @t32 @t9)) % 15.97/16.20 (define @t89 () (@list @t19 @t17)) % 15.97/16.20 (define @t90 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t9 @t32 tptp.tc_HOL_Obool @t2 @t54 @t52))) % 15.97/16.20 (define @t91 () (tptp.hBOOL (tptp.hAPP @t2 @t57))) % 15.97/16.20 (define @t92 () (tptp.hAPP @t2 @t19)) % 15.97/16.20 (define @t93 () (tptp.c_Recdef_Ocut @t9 @t32 @t2 @t41 @t54)) % 15.97/16.20 (define @t94 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t54)) % 15.97/16.20 (define @t95 () (tptp.c_member @t43 @t94 @t41)) % 15.97/16.20 (define @t96 () (@var "B_y" $$unsorted)) % 15.97/16.20 (define @t97 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t96 @t19) @t41)) % 15.97/16.20 (define @t98 () (@list @t96)) % 15.97/16.20 (define @t99 () (@var "B_f" $$unsorted)) % 15.97/16.20 (define @t100 () (@var "B_R" $$unsorted)) % 15.97/16.20 (define @t101 () (= @t18 @t52)) % 15.97/16.20 (define @t102 () (= @t19 @t54)) % 15.97/16.20 (define @t103 () (= @t19 @t52)) % 15.97/16.20 (define @t104 () (not @t68)) % 15.97/16.20 (define @t105 () (@list @t18 @t19 @t17 @t52 @t54)) % 15.97/16.20 (define @t106 () (= @t18 @t54)) % 15.97/16.20 (define @t107 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t19) @t31)) % 15.97/16.20 (define @t108 () (tptp.c_Wellfounded_Oacc @t9 @t41)) % 15.97/16.20 (define @t109 () (tptp.c_member @t9 @t3 @t108)) % 15.97/16.20 (define @t110 () (tptp.c_member @t9 @t54 @t108)) % 15.97/16.20 (define @t111 () (@list @t41 @t54 @t9)) % 15.97/16.20 (define @t112 () (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t52)) % 15.97/16.20 (define @t113 () (tptp.c_member @t43 @t112 @t41)) % 15.97/16.20 (define @t114 () (tptp.c_member @t9 @t52 @t108)) % 15.97/16.20 (define @t115 () (@var "B_L" $$unsorted)) % 15.97/16.20 (define @t116 () (@list @t18 @t19 @t9)) % 15.97/16.20 (define @t117 () (tptp.c_Product__Type_OSigma @t9 @t32 @t11 @t7)) % 15.97/16.20 (define @t118 () (tptp.c_member @t34 @t57 @t117)) % 15.97/16.20 (define @t119 () (tptp.c_member @t32 @t52 (tptp.hAPP @t7 @t54))) % 15.97/16.20 (define @t120 () (@list @t7 @t11 @t52 @t54 @t32 @t9)) % 15.97/16.20 (define @t121 () (tptp.c_Product__Type_OPair @t9 @t32 @t3 @t96)) % 15.97/16.20 (define @t122 () (tptp.c_member @t9 @t3 @t11)) % 15.97/16.20 (define @t123 () (tptp.c_Wellfounded_Oacc @t9 @t31)) % 15.97/16.20 (define @t124 () (tptp.c_member @t9 @t19 @t108)) % 15.97/16.20 (define @t125 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t41)) % 15.97/16.20 (define @t126 () (tptp.c_Product__Type_OPair @t9 @t9 @t52 @t54)) % 15.97/16.20 (define @t127 () (tptp.c_member @t43 @t126 @t125)) % 15.97/16.20 (define @t128 () (tptp.c_Relation_Oirrefl @t9 @t41)) % 15.97/16.20 (define @t129 () (tptp.c_member @t34 @t57 @t41)) % 15.97/16.20 (define @t130 () (@list @t41 @t52 @t54 @t32 @t9)) % 15.97/16.20 (define @t131 () (tptp.c_Relation_OId__on @t9 @t11)) % 15.97/16.20 (define @t132 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t18)) % 15.97/16.20 (define @t133 () (@list @t11 @t18 @t19 @t9)) % 15.97/16.20 (define @t134 () (@list @t11 @t9)) % 15.97/16.20 (define @t135 () (tptp.c_Relation_Oconverse @t9 @t32 @t41)) % 15.97/16.20 (define @t136 () (@list @t41 @t9 @t32)) % 15.97/16.20 (define @t137 () (tptp.c_Product__Type_OPair @t32 @t9 @t52 @t54)) % 15.97/16.20 (define @t138 () (tptp.tc_prod @t32 @t9)) % 15.97/16.20 (define @t139 () (tptp.c_member @t138 @t137 @t41)) % 15.97/16.20 (define @t140 () (tptp.c_Relation_Oconverse @t32 @t9 @t41)) % 15.97/16.20 (define @t141 () (tptp.c_member @t34 @t57 @t140)) % 15.97/16.20 (define @t142 () (tptp.c_Relation_ORange @t32 @t9 @t41)) % 15.97/16.20 (define @t143 () (@list @t41 @t32 @t54 @t9)) % 15.97/16.20 (define @t144 () (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t54)) % 15.97/16.20 (define @t145 () (@var "V_p_2" $$unsorted)) % 15.97/16.20 (define @t146 () (tptp.c_member @t43 @t145 @t41)) % 15.97/16.20 (define @t147 () (@list @t41 @t145 @t9)) % 15.97/16.20 (define @t148 () (tptp.c_Relation_Oconverse @t9 @t9 @t41)) % 15.97/16.20 (define @t149 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t148)) % 15.97/16.20 (define @t150 () (tptp.c_member @t43 @t132 @t149)) % 15.97/16.20 (define @t151 () (tptp.c_Product__Type_OPair @t9 @t9 @t18 @t19)) % 15.97/16.20 (define @t152 () (tptp.c_member @t43 @t151 @t125)) % 15.97/16.20 (define @t153 () (@list @t41 @t19 @t18 @t9)) % 15.97/16.20 (define @t154 () (@list @t41 @t18 @t19 @t9)) % 15.97/16.20 (define @t155 () (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t8)) % 15.97/16.20 (define @t156 () (tptp.c_member @t43 @t155 @t125)) % 15.97/16.20 (define @t157 () (tptp.c_Product__Type_OPair @t9 @t9 @t52 @t8)) % 15.97/16.20 (define @t158 () (tptp.c_member @t43 @t157 @t125)) % 15.97/16.20 (define @t159 () (=> @t158 @t156)) % 15.97/16.20 (define @t160 () (@list @t8 @t41 @t52 @t54 @t9)) % 15.97/16.20 (define @t161 () (tptp.c_member @t43 @t157 @t41)) % 15.97/16.20 (define @t162 () (tptp.c_member @t43 @t112 @t125)) % 15.97/16.20 (define @t163 () (tptp.c_member @t138 (tptp.c_Product__Type_OPair @t32 @t9 @t3 @t52) @t41)) % 15.97/16.20 (define @t164 () (tptp.c_Product__Type_OPair @t9 @t9 @t18 @t23)) % 15.97/16.20 (define @t165 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t23)) % 15.97/16.20 (define @t166 () (tptp.c_member @t43 @t165 @t125)) % 15.97/16.20 (define @t167 () (tptp.c_member @t43 @t132 @t125)) % 15.97/16.20 (define @t168 () (@var "V_yx_2" $$unsorted)) % 15.97/16.20 (define @t169 () (@list @t3 @t96)) % 15.97/16.20 (define @t170 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t31)) % 15.97/16.20 (define @t171 () (tptp.c_member @t43 @t132 @t170)) % 15.97/16.20 (define @t172 () (tptp.c_Relation_ODomain @t9 @t32 @t41)) % 15.97/16.20 (define @t173 () (tptp.c_member @t9 @t54 @t172)) % 15.97/16.20 (define @t174 () (@var "V_by_2" $$unsorted)) % 15.97/16.20 (define @t175 () (@var "V_bx_2" $$unsorted)) % 15.97/16.20 (define @t176 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t175) @t174))) % 15.97/16.20 (define @t177 () (@var "B_ba" $$unsorted)) % 15.97/16.20 (define @t178 () (@var "B_aa" $$unsorted)) % 15.97/16.20 (define @t179 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t178) @t177))) % 15.97/16.20 (define @t180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t47) @t46))) % 15.97/16.20 (define @t181 () (tptp.c_Product__Type_OPair @t9 @t32 @t178 @t177)) % 15.97/16.20 (define @t182 () (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t48 @t181) @t41)) % 15.97/16.20 (define @t183 () (tptp.c_Transitive__Closure_Ortrancl @t34 @t41)) % 15.97/16.20 (define @t184 () (@var "V_ay_2" $$unsorted)) % 15.97/16.20 (define @t185 () (@var "V_ax_2" $$unsorted)) % 15.97/16.20 (define @t186 () (tptp.c_Product__Type_OPair @t9 @t32 @t185 @t184)) % 15.97/16.20 (define @t187 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t185) @t184))) % 15.97/16.20 (define @t188 () (tptp.c_Product__Type_OPair @t9 @t32 @t175 @t174)) % 15.97/16.20 (define @t189 () (tptp.c_member @t38 (tptp.c_Product__Type_OPair @t34 @t34 @t186 @t188) @t183)) % 15.97/16.20 (define @t190 () (@list @t35 @t41 @t174 @t175 @t184 @t185 @t32 @t9)) % 15.97/16.20 (define @t191 () (@var "V_zb_2" $$unsorted)) % 15.97/16.20 (define @t192 () (@var "V_za_2" $$unsorted)) % 15.97/16.20 (define @t193 () (tptp.c_Product__Type_OPair @t9 @t32 @t192 @t191)) % 15.97/16.20 (define @t194 () (@var "V_xb_2" $$unsorted)) % 15.97/16.20 (define @t195 () (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t194)) % 15.97/16.20 (define @t196 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t96) @t125)) % 15.97/16.20 (define @t197 () (@list @t41 @t52 @t54 @t9)) % 15.97/16.20 (define @t198 () (tptp.c_Relation_ODomain @t9 @t32 @t140)) % 15.97/16.20 (define @t199 () (@list @t41 @t32 @t9)) % 15.97/16.20 (define @t200 () (forall @t169 (=> (tptp.c_member @t34 @t121 @t41) (forall @t82 (=> (tptp.c_member @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t3 @t78) @t41) (= @t96 @t78)))))) % 15.97/16.20 (define @t201 () (tptp.c_Relation_Osingle__valued @t9 @t32 @t41)) % 15.97/16.20 (define @t202 () (tptp.c_member @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t54 @t96) @t41)) % 15.97/16.20 (define @t203 () (tptp.hBOOL (tptp.hAPP @t35 @t52))) % 15.97/16.20 (define @t204 () (tptp.hBOOL (tptp.hAPP @t35 @t78))) % 15.97/16.20 (define @t205 () (tptp.hBOOL (tptp.hAPP @t35 @t96))) % 15.97/16.20 (define @t206 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t96 @t78) @t41)) % 15.97/16.20 (define @t207 () (tptp.hBOOL (tptp.hAPP @t35 @t54))) % 15.97/16.20 (define @t208 () (@list @t35 @t41 @t52 @t54 @t9)) % 15.97/16.20 (define @t209 () (tptp.c_Product__Type_OPair @t9 @t9 @t96 @t23)) % 15.97/16.20 (define @t210 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t96) @t41)) % 15.97/16.20 (define @t211 () (@list @t41 @t23 @t19 @t9)) % 15.97/16.20 (define @t212 () (@var "B_xa" $$unsorted)) % 15.97/16.20 (define @t213 () (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t212 @t3) @t41)) % 15.97/16.20 (define @t214 () (@list @t212)) % 15.97/16.20 (define @t215 () (tptp.c_Relation_Ototal__on @t9 @t11 @t41)) % 15.97/16.20 (define @t216 () (@list @t41 @t11 @t9)) % 15.97/16.20 (define @t217 () (tptp.hAPP @t2 @t18)) % 15.97/16.20 (define @t218 () (tptp.c_member @t43 @t144 @t41)) % 15.97/16.20 (define @t219 () (tptp.c_Relation_Orefl__on @t9 @t11 @t41)) % 15.97/16.20 (define @t220 () (tptp.c_member @t43 @t132 @t41)) % 15.97/16.20 (define @t221 () (@list @t18 @t19 @t41 @t11 @t9)) % 15.97/16.20 (define @t222 () (tptp.c_Transitive__Closure_Otrancl @t9 @t41)) % 15.97/16.20 (define @t223 () (tptp.c_member @t43 @t112 @t222)) % 15.97/16.20 (define @t224 () (tptp.c_Relation_OId @t9)) % 15.97/16.20 (define @t225 () (@list @t54 @t9)) % 15.97/16.20 (define @t226 () (tptp.c_member @t43 @t126 @t41)) % 15.97/16.20 (define @t227 () (tptp.c_Relation_Oantisym @t9 @t41)) % 15.97/16.20 (define @t228 () (@list @t52 @t54 @t41 @t9)) % 15.97/16.20 (define @t229 () (= @t3 @t96)) % 15.97/16.20 (define @t230 () (tptp.c_Product__Type_OPair @t9 @t9 @t96 @t3)) % 15.97/16.20 (define @t231 () (tptp.c_member @t43 @t230 @t41)) % 15.97/16.20 (define @t232 () (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t96)) % 15.97/16.20 (define @t233 () (tptp.c_member @t43 @t232 @t41)) % 15.97/16.20 (define @t234 () (forall @t169 (=> @t233 (=> @t231 @t229)))) % 15.97/16.20 (define @t235 () (tptp.c_Relation_Oconverse @t9 @t9 @t222)) % 15.97/16.20 (define @t236 () (tptp.c_member @t43 @t132 @t235)) % 15.97/16.20 (define @t237 () (tptp.c_Transitive__Closure_Otrancl @t9 @t148)) % 15.97/16.20 (define @t238 () (tptp.c_member @t43 @t132 @t237)) % 15.97/16.20 (define @t239 () (tptp.c_member @t43 @t165 @t222)) % 15.97/16.20 (define @t240 () (tptp.c_member @t43 @t155 @t222)) % 15.97/16.20 (define @t241 () (=> @t158 @t240)) % 15.97/16.20 (define @t242 () (@list @t9)) % 15.97/16.20 (define @t243 () (tptp.c_member @t43 @t145 @t222)) % 15.97/16.20 (define @t244 () (tptp.c_Transitive__Closure_Otrancl @t9 @t31)) % 15.97/16.20 (define @t245 () (@list @t31 @t9)) % 15.97/16.20 (define @t246 () (tptp.c_Relation_ODomain @t9 @t9 @t41)) % 15.97/16.20 (define @t247 () (tptp.c_Relation_ORange @t9 @t9 @t41)) % 15.97/16.20 (define @t248 () (=> (tptp.c_member @t43 @t157 @t222) @t240)) % 15.97/16.20 (define @t249 () (=> @t161 @t240)) % 15.97/16.20 (define @t250 () (@list @t52 @t54 @t9)) % 15.97/16.20 (define @t251 () (tptp.c_member @t43 @t132 @t244)) % 15.97/16.20 (define @t252 () (@list @t31 @t18 @t19 @t9)) % 15.97/16.20 (define @t253 () (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t18)) % 15.97/16.20 (define @t254 () (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t78)) % 15.97/16.20 (define @t255 () (forall @t6 (not (tptp.c_member @t43 @t42 @t222)))) % 15.97/16.20 (define @t256 () (tptp.c_Wellfounded_Oacyclic @t9 @t41)) % 15.97/16.20 (define @t257 () (not @t167)) % 15.97/16.20 (define @t258 () (tptp.c_Set_Oinsert @t43 @t151 @t41)) % 15.97/16.20 (define @t259 () (@var "B_c" $$unsorted)) % 15.97/16.20 (define @t260 () (tptp.tc_fun @t43 tptp.tc_HOL_Obool)) % 15.97/16.20 (define @t261 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t41 @t224)) % 15.97/16.20 (define @t262 () (tptp.c_Groups_Ominus__class_Ominus @t260 @t41 @t224)) % 15.97/16.20 (define @t263 () (tptp.hAPP @t7 @t19)) % 15.97/16.20 (define @t264 () (tptp.hBOOL @t263)) % 15.97/16.20 (define @t265 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 15.97/16.20 (define @t266 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t7)) % 15.97/16.20 (define @t267 () (tptp.hBOOL (tptp.hAPP @t266 @t19))) % 15.97/16.20 (define @t268 () (@list @t19 @t7 @t11 @t9)) % 15.97/16.20 (define @t269 () (not @t264)) % 15.97/16.20 (define @t270 () (tptp.c_member @t9 @t54 (tptp.c_Set_Oinsert @t9 @t52 @t11))) % 15.97/16.20 (define @t271 () (@list @t11 @t52 @t54 @t9)) % 15.97/16.20 (define @t272 () (tptp.c_Set_Oinsert @t9 @t52 @t7)) % 15.97/16.20 (define @t273 () (tptp.c_member @t9 @t54 @t272)) % 15.97/16.20 (define @t274 () (tptp.c_member @t9 @t54 @t7)) % 15.97/16.20 (define @t275 () (@list @t52 @t7 @t54 @t9)) % 15.97/16.20 (define @t276 () (tptp.c_member @t9 @t8 @t266)) % 15.97/16.20 (define @t277 () (@list @t7 @t11 @t8 @t9)) % 15.97/16.20 (define @t278 () (@list @t11 @t7 @t8 @t9)) % 15.97/16.20 (define @t279 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t7)) % 15.97/16.20 (define @t280 () (tptp.c_member @t9 @t8 @t279)) % 15.97/16.20 (define @t281 () (=> @t12 @t10)) % 15.97/16.20 (define @t282 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t41 @t75)) % 15.97/16.20 (define @t283 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t7 @t11)) % 15.97/16.20 (define @t284 () (@list @t7 @t11 @t9)) % 15.97/16.20 (define @t285 () (tptp.c_Set_Oinsert @t9 @t19 @t11)) % 15.97/16.20 (define @t286 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t7 @t11)) % 15.97/16.20 (define @t287 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t286)) % 15.97/16.20 (define @t288 () (tptp.c_Set_Oinsert @t9 @t18 @t11)) % 15.97/16.20 (define @t289 () (tptp.c_Set_Oinsert @t9 @t54 @t7)) % 15.97/16.20 (define @t290 () (@list @t7 @t54 @t11 @t9)) % 15.97/16.20 (define @t291 () (@var "V_C_2" $$unsorted)) % 15.97/16.20 (define @t292 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t7 @t291)) % 15.97/16.20 (define @t293 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t292)) % 15.97/16.20 (define @t294 () (@list @t291 @t7 @t11 @t9)) % 15.97/16.20 (define @t295 () (@list @t11 @t7 @t9)) % 15.97/16.20 (define @t296 () (tptp.hBOOL (tptp.hAPP @t35 @t3))) % 15.97/16.20 (define @t297 () (tptp.c_member @t9 @t3 @t7)) % 15.97/16.20 (define @t298 () (tptp.c_member @t9 @t3 @t266)) % 15.97/16.20 (define @t299 () (@list @t35 @t7 @t11 @t9)) % 15.97/16.20 (define @t300 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t285 @t7)) % 15.97/16.20 (define @t301 () (not @t71)) % 15.97/16.20 (define @t302 () (=> @t71 (= @t300 @t279))) % 15.97/16.20 (define @t303 () (@list @t11 @t7 @t19 @t9)) % 15.97/16.20 (define @t304 () (tptp.c_Relation_ORange @t32 @t9 @t7)) % 15.97/16.20 (define @t305 () (tptp.c_Relation_ORange @t32 @t9 @t11)) % 15.97/16.20 (define @t306 () (tptp.tc_fun @t138 tptp.tc_HOL_Obool)) % 15.97/16.20 (define @t307 () (tptp.c_Relation_ODomain @t9 @t32 @t7)) % 15.97/16.20 (define @t308 () (tptp.c_Relation_ODomain @t9 @t32 @t11)) % 15.97/16.20 (define @t309 () (tptp.tc_fun @t34 tptp.tc_HOL_Obool)) % 15.97/16.20 (define @t310 () (@list @t7 @t11 @t32 @t9)) % 15.97/16.20 (define @t311 () (tptp.c_Product__Type_OPair @t32 @t9 @t54 @t52)) % 15.97/16.20 (define @t312 () (tptp.c_Set_Oinsert @t9 @t19 @t7)) % 15.97/16.20 (define @t313 () (not @t64)) % 15.97/16.20 (define @t314 () (@list @t7 @t11 @t19 @t9)) % 15.97/16.20 (define @t315 () (tptp.c_Set_Oinsert @t9 @t54 @t11)) % 15.97/16.20 (define @t316 () (@list @t11 @t54 @t9)) % 15.97/16.20 (define @t317 () (@var "V_S_2" $$unsorted)) % 15.97/16.20 (define @t318 () (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t31 @t317))) % 15.97/16.20 (define @t319 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t317)) % 15.97/16.20 (define @t320 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t170 @t319)) % 15.97/16.20 (define @t321 () (@list @t317 @t31 @t9)) % 15.97/16.20 (define @t322 () (tptp.tc_fun @t32 @t9)) % 15.97/16.20 (define @t323 () (tptp.hAPP @t1 @t19)) % 15.97/16.20 (define @t324 () (tptp.class_Lattices_Olattice @t9)) % 15.97/16.20 (define @t325 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t35)) % 15.97/16.20 (define @t326 () (tptp.c_member @t43 @t112 @t325)) % 15.97/16.20 (define @t327 () (@var "V_Q_2" $$unsorted)) % 15.97/16.20 (define @t328 () (tptp.c_member @t43 @t112 (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t35 @t327)))) % 15.97/16.20 (define @t329 () (@list @t327 @t35 @t52 @t54 @t9)) % 15.97/16.20 (define @t330 () (tptp.c_Relation_Otrans @t9 @t41)) % 15.97/16.20 (define @t331 () (tptp.c_Wellfounded_Owf @t9 @t41)) % 15.97/16.20 (define @t332 () (tptp.hAPP (tptp.c_Relation_Oinv__image @t9 @t32 @t41) @t2)) % 15.97/16.20 (define @t333 () (@list @t2 @t32 @t41 @t9)) % 15.97/16.20 (define @t334 () (@var "V_rb_2" $$unsorted)) % 15.97/16.20 (define @t335 () (@var "V_ra_2" $$unsorted)) % 15.97/16.20 (define @t336 () (@var "V_R2_2" $$unsorted)) % 15.97/16.20 (define @t337 () (@var "V_R1_2" $$unsorted)) % 15.97/16.20 (define @t338 () (@list @t19 @t41 @t9)) % 15.97/16.20 (define @t339 () (forall @t6 @t109)) % 15.97/16.20 (define @t340 () (forall @t169 (=> @t233 (forall @t82 (=> @t206 (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t78) @t41)))))) % 15.97/16.20 (define @t341 () (tptp.class_Lattices_Osemilattice__sup @t9)) % 15.97/16.20 (define @t342 () (@var "V_x" $$unsorted)) % 15.97/16.20 (define @t343 () (@list @t342 @t9)) % 15.97/16.20 (define @t344 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t59)) % 15.97/16.20 (define @t345 () (@list @t59 @t61 @t9)) % 15.97/16.20 (define @t346 () (@var "V_y" $$unsorted)) % 15.97/16.20 (define @t347 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t346)) % 15.97/16.20 (define @t348 () (= @t347 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t346 @t342))) % 15.97/16.20 (define @t349 () (@list @t346 @t342 @t9)) % 15.97/16.20 (define @t350 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t347) @t347)) % 15.97/16.20 (define @t351 () (@var "V_c" $$unsorted)) % 15.97/16.20 (define @t352 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t59 @t351))) % 15.97/16.20 (define @t353 () (@list @t351 @t61 @t59 @t9)) % 15.97/16.20 (define @t354 () (@var "V_z" $$unsorted)) % 15.97/16.20 (define @t355 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t354)) % 15.97/16.20 (define @t356 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t346 @t354)) % 15.97/16.20 (define @t357 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t356)) % 15.97/16.20 (define @t358 () (= @t357 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t346 @t355))) % 15.97/16.20 (define @t359 () (@list @t354 @t346 @t342 @t9)) % 15.97/16.20 (define @t360 () (@list @t351 @t59 @t61 @t9)) % 15.97/16.20 (define @t361 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t347 @t354) @t357)) % 15.97/16.20 (define @t362 () (tptp.c_Wellfounded_Omeasure @t9)) % 15.97/16.20 (define @t363 () (tptp.hAPP @t362 @t2)) % 15.97/16.20 (define @t364 () (@var "B_M" $$unsorted)) % 15.97/16.20 (define @t365 () (tptp.c_Recdef_Owfrec @t9 @t32 @t100 @t364)) % 15.97/16.20 (define @t366 () (@var "V_H_2" $$unsorted)) % 15.97/16.20 (define @t367 () (tptp.c_Recdef_Owfrec @t9 @t32 @t41 @t366)) % 15.97/16.20 (define @t368 () (tptp.c_Order__Relation_Olinear__order__on @t9 @t11 @t41)) % 15.97/16.20 (define @t369 () (tptp.c_Order__Relation_Opreorder__on @t9 @t11 @t41)) % 15.97/16.20 (define @t370 () (@var "B_Q" $$unsorted)) % 15.97/16.20 (define @t371 () (tptp.c_member @t9 @t3 @t370)) % 15.97/16.20 (define @t372 () (tptp.c_Order__Relation_Opartial__order__on @t9 @t11 @t41)) % 15.97/16.20 (define @t373 () (tptp.c_Wellfounded_Owf @t9 @t31)) % 15.97/16.20 (define @t374 () (tptp.c_Relation_OField @t9 @t41)) % 15.97/16.20 (define @t375 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t92 @t217)) % 15.97/16.20 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t344)) % 15.97/16.20 (define @t377 () (@list @t59 @t61 @t342 @t9)) % 15.97/16.20 (define @t378 () (@list @t61 @t59 @t342 @t9)) % 15.97/16.20 (define @t379 () (tptp.c_Relation_OField @t9 @t75)) % 15.97/16.20 (define @t380 () (@list @t75 @t41 @t9)) % 15.97/16.20 (define @t381 () (tptp.c_Wellfounded_Omlex__prod @t9 @t2 @t31)) % 15.97/16.20 (define @t382 () (tptp.c_member @t43 @t132 @t381)) % 15.97/16.20 (define @t383 () (@list @t31 @t9 @t18 @t19 @t2)) % 15.97/16.20 (define @t384 () (@var "V_d_2" $$unsorted)) % 15.97/16.20 (define @t385 () (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t54 @t52) (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t384))) % 15.97/16.20 (define @t386 () (tptp.class_Groups_Oordered__ab__group__add @t9)) % 15.97/16.20 (define @t387 () (@list @t384 @t8 @t52 @t54 @t9)) % 15.97/16.20 (define @t388 () (tptp.c_Orderings_Obot__class_Obot @t265)) % 15.97/16.20 (define @t389 () (tptp.c_Set_Oinsert @t9 @t52 @t388)) % 15.97/16.20 (define @t390 () (tptp.c_Set_Oinsert @t9 @t54 @t389)) % 15.97/16.20 (define @t391 () (tptp.c_Orderings_Obot__class_Obot @t260)) % 15.97/16.20 (define @t392 () (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t7)) % 15.97/16.20 (define @t393 () (@list @t8 @t7 @t11 @t9)) % 15.97/16.20 (define @t394 () (= @t11 @t388)) % 15.97/16.20 (define @t395 () (tptp.c_Set_Oinsert @t9 @t54 @t388)) % 15.97/16.20 (define @t396 () (tptp.c_Orderings_Obot__class_Obot @t306)) % 15.97/16.20 (define @t397 () (tptp.c_Orderings_Obot__class_Obot @t309)) % 15.97/16.20 (define @t398 () (tptp.c_Orderings_Obot__class_Obot @t9)) % 15.97/16.20 (define @t399 () (tptp.class_Lattices_Obounded__lattice__bot @t9)) % 15.97/16.20 (define @t400 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t19 @t18)) % 15.97/16.20 (define @t401 () (= @t52 @t54)) % 15.97/16.20 (define @t402 () (tptp.c_member @t9 @t52 @t395)) % 15.97/16.20 (define @t403 () (@list @t54 @t52 @t9)) % 15.97/16.20 (define @t404 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t289)) % 15.97/16.20 (define @t405 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t395)) % 15.97/16.20 (define @t406 () (tptp.c_Set_Oinsert @t9 @t54 @t405)) % 15.97/16.20 (define @t407 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 15.97/16.20 (define @t408 () (tptp.c_Set_Oinsert @t9 @t19 @t388)) % 15.97/16.20 (define @t409 () (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t408)) % 15.97/16.20 (define @t410 () (tptp.class_Orderings_Obot @t9)) % 15.97/16.20 (define @t411 () (tptp.c_Relation_OImage @t9 @t9 @t41 @t389)) % 15.97/16.20 (define @t412 () (tptp.c_Relation_OImage @t9 @t9 @t41 @t395)) % 15.97/16.20 (define @t413 () (tptp.c_member @t9 @t52 @t374)) % 15.97/16.20 (define @t414 () (tptp.c_member @t9 @t54 @t374)) % 15.97/16.20 (define @t415 () (=> @t414 (=> @t413 (= (= @t412 @t411) @t68)))) % 15.97/16.20 (define @t416 () (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t291)) % 15.97/16.20 (define @t417 () (=> (tptp.c_Orderings_Oord__class_Oless @t265 @t7 @t291) @t416)) % 15.84/16.20 (define @t418 () (tptp.tc_fun @t32 tptp.tc_HOL_Obool)) % 15.84/16.20 (define @t419 () (tptp.c_Orderings_Obot__class_Obot @t418)) % 15.84/16.20 (define @t420 () (tptp.c_Relation_OImage @t32 @t9 @t31 @t7)) % 15.84/16.20 (define @t421 () (tptp.c_Relation_OImage @t32 @t9 @t31 @t11)) % 15.84/16.20 (define @t422 () (tptp.c_Relation_OImage @t9 @t32 @t41 @t11)) % 15.84/16.20 (define @t423 () (tptp.c_member @t32 @t3 @t11)) % 15.84/16.20 (define @t424 () (tptp.c_member @t9 @t52 (tptp.c_Relation_OImage @t32 @t9 @t41 @t11))) % 15.84/16.20 (define @t425 () (@list @t11 @t41 @t32 @t52 @t9)) % 15.84/16.20 (define @t426 () (tptp.class_Orderings_Opreorder @t9)) % 15.84/16.20 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t9 @t18 @t19)) % 15.84/16.20 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t9 @t19 @t18)) % 15.84/16.20 (define @t429 () (tptp.class_Orderings_Olinorder @t9)) % 15.84/16.20 (define @t430 () (not @t428)) % 15.84/16.20 (define @t431 () (tptp.c_Orderings_Oord__class_Oless @t9 @t346 @t342)) % 15.84/16.20 (define @t432 () (= @t342 @t346)) % 15.84/16.20 (define @t433 () (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t346)) % 15.84/16.20 (define @t434 () (= @t430 @t26)) % 15.84/16.20 (define @t435 () (@list @t19 @t18 @t9)) % 15.84/16.20 (define @t436 () (not @t433)) % 15.84/16.20 (define @t437 () (not @t432)) % 15.84/16.20 (define @t438 () (tptp.class_Orderings_Oorder @t9)) % 15.84/16.20 (define @t439 () (tptp.c_Orderings_Oord__class_Oless @t9 @t59 @t61)) % 15.84/16.20 (define @t440 () (tptp.c_Orderings_Oord__class_Oless @t9 @t61 @t59)) % 15.84/16.20 (define @t441 () (@list @t61 @t59 @t9)) % 15.84/16.20 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t9 @t61 @t351)) % 15.84/16.20 (define @t443 () (= @t61 @t59)) % 15.84/16.20 (define @t444 () (tptp.class_Orderings_Oord @t9)) % 15.84/16.20 (define @t445 () (tptp.c_Orderings_Oord__class_Oless @t9 @t351 @t61)) % 15.84/16.20 (define @t446 () (= @t59 @t351)) % 15.84/16.20 (define @t447 () (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t354)) % 15.84/16.20 (define @t448 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t346 @t354) @t447)) % 15.84/16.20 (define @t449 () (tptp.c_Orderings_Oord__class_Oless @t9 @t354 @t342)) % 15.84/16.20 (define @t450 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t354 @t346) @t449)) % 15.84/16.20 (define @t451 () (@list @t354 @t342 @t346 @t9)) % 15.84/16.20 (define @t452 () (@var "V_n_2" $$unsorted)) % 15.84/16.20 (define @t453 () (@var "V_m_2" $$unsorted)) % 15.84/16.20 (define @t454 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 15.84/16.20 (define @t455 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t453 @t452)) % 15.84/16.20 (define @t456 () (@list @t452 @t453)) % 15.84/16.20 (define @t457 () (tptp.c_Order__Relation_Opreorder__on @t9 @t374 @t41)) % 15.84/16.20 (define @t458 () (@var "V_a4_2" $$unsorted)) % 15.84/16.20 (define @t459 () (@var "V_a3_2" $$unsorted)) % 15.84/16.20 (define @t460 () (@var "V_a5_2" $$unsorted)) % 15.84/16.20 (define @t461 () (tptp.hAPP (tptp.hAPP @t459 @t81) @t460)) % 15.84/16.20 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t11)) % 15.84/16.20 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t7)) % 15.84/16.20 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t18 @t19)) % 15.84/16.20 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 @t18)) % 15.84/16.20 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t346)) % 15.84/16.20 (define @t467 () (tptp.tc_fun @t9 @t32)) % 15.84/16.20 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq @t467 @t2 @t1)) % 15.84/16.20 (define @t469 () (tptp.class_Orderings_Oord @t32)) % 15.84/16.20 (define @t470 () (@list @t1 @t2 @t9 @t32)) % 15.84/16.20 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t346 @t342)) % 15.84/16.20 (define @t472 () (@list @t342 @t346 @t9)) % 15.84/16.20 (define @t473 () (= @t465 @t26)) % 15.84/16.20 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t61 @t59)) % 15.84/16.20 (define @t475 () (not @t443)) % 15.84/16.20 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t61)) % 15.84/16.20 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t346 @t354)) % 15.84/16.20 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t354 @t346)) % 15.84/16.20 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t291)) % 15.84/16.20 (define @t480 () (@list @t145 @t41 @t9)) % 15.84/16.20 (define @t481 () (@var "V_A_H_2" $$unsorted)) % 15.84/16.20 (define @t482 () (@var "V_r_H_2" $$unsorted)) % 15.84/16.20 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t61 @t351)) % 15.84/16.20 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t351 @t61)) % 15.84/16.20 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t354 @t342)) % 15.84/16.20 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t41 @t75)) % 15.84/16.20 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t309 @t41 @t75)) % 15.84/16.20 (define @t488 () (@list @t75 @t41 @t32 @t9)) % 15.84/16.20 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t342)) % 15.84/16.20 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t61 @t342)) % 15.84/16.20 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t344 @t342)) % 15.84/16.20 (define @t492 () (@var "V_d" $$unsorted)) % 15.84/16.20 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t344)) % 15.84/16.20 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 @t23)) % 15.84/16.20 (define @t495 () (@list @t23 @t18 @t19 @t9)) % 15.84/16.20 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t346 @t347)) % 15.84/16.20 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t347)) % 15.84/16.20 (define @t498 () (@var "V_D_2" $$unsorted)) % 15.84/16.20 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t291)) % 15.84/16.20 (define @t500 () (= @t266 @t7)) % 15.84/16.20 (define @t501 () (tptp.hBOOL (tptp.hAPP @t327 @t19))) % 15.84/16.20 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t35 @t327)) % 15.84/16.20 (define @t503 () (@list @t9 @t7 @t11)) % 15.84/16.20 (define @t504 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t75)) % 15.84/16.20 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t125 @t504)) % 15.84/16.20 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t312)) % 15.84/16.20 (define @t507 () (@var "V_X_2" $$unsorted)) % 15.84/16.20 (define @t508 () (=> @t313 @t463)) % 15.84/16.20 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t409 @t7)) % 15.84/16.20 (define @t510 () (@list @t7 @t19 @t11 @t9)) % 15.84/16.20 (define @t511 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t265 @t11 @t7)) % 15.84/16.20 (define @t512 () (tptp.hBOOL (tptp.hAPP @t511 @t19))) % 15.84/16.20 (define @t513 () (tptp.c_member @t9 @t8 @t511)) % 15.84/16.20 (define @t514 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t342 @t346)) % 15.84/16.20 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t514 @t342)) % 15.84/16.20 (define @t516 () (tptp.class_Lattices_Osemilattice__inf @t9)) % 15.84/16.20 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t514 @t346)) % 15.84/16.20 (define @t518 () (@var "T_1" $$unsorted)) % 15.84/16.20 (define @t519 () (@var "T_2" $$unsorted)) % 15.84/16.20 (define @t520 () (tptp.tc_fun @t519 @t518)) % 15.84/16.20 (define @t521 () (tptp.class_Lattices_Obounded__lattice @t518)) % 15.84/16.20 (define @t522 () (@list @t519 @t518)) % 15.84/16.20 (define @t523 () (tptp.class_Lattices_Olattice @t518)) % 15.84/16.20 (define @t524 () (@var "V_y_2" $$unsorted)) % 15.84/16.20 (define @t525 () (@var "V_x_2" $$unsorted)) % 15.84/16.20 (define @t526 () (= @t525 @t524)) % 15.84/16.20 (define @t527 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t525) @t524))) % 15.84/16.20 (define @t528 () (@list @t524 @t525)) % 15.84/16.20 (define @t529 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t96 @t3) tptp.v_L)) % 15.84/16.20 (define @t530 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t96) tptp.v_L)) % 15.84/16.20 (define @t531 () (or @t530 @t529)) % 15.84/16.20 (define @t532 () (not @t229)) % 15.84/16.20 (define @t533 () (forall @t169 (=> @t532 @t531))) % 15.84/16.20 (define @t534 () (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)) % 15.84/16.20 (define @t535 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t96 @t78) tptp.v_L)) % 15.84/16.20 (define @t536 () (forall @t82 (=> @t535 @t534))) % 15.84/16.20 (define @t537 () (=> @t530 @t536)) % 15.84/16.20 (define @t538 () (forall @t169 @t537)) % 15.84/16.20 (define @t539 () (= @t3 tptp.v_x)) % 15.84/16.20 (define @t540 () (not @t539)) % 15.84/16.20 (define @t541 () (= @t96 tptp.v_x)) % 15.84/16.20 (define @t542 () (and @t541 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t3) tptp.v_L) @t540)) % 15.84/16.20 (define @t543 () (not @t541)) % 15.84/16.20 (define @t544 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t96 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t545 () (and @t539 @t544 @t543)) % 15.84/16.20 (define @t546 () (and @t529 @t543 @t540)) % 15.84/16.20 (define @t547 () (and @t541 (= @t3 tptp.v_y))) % 15.84/16.20 (define @t548 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t96) tptp.v_L)) % 15.84/16.20 (define @t549 () (and @t539 @t548 @t543)) % 15.84/16.20 (define @t550 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t551 () (and @t541 @t550 @t540)) % 15.84/16.20 (define @t552 () (and @t530 @t540 @t543)) % 15.84/16.20 (define @t553 () (and @t539 (= @t96 tptp.v_y))) % 15.84/16.20 (define @t554 () (or @t553 @t552 @t551 @t549 @t547 @t546 @t545 @t542)) % 15.84/16.20 (define @t555 () (forall @t169 (=> @t532 @t554))) % 15.84/16.20 (define @t556 () (not @t544)) % 15.84/16.20 (define @t557 () (= @t78 tptp.v_x)) % 15.84/16.20 (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_y @t78) tptp.v_L)) % 15.84/16.20 (define @t559 () (= @t78 tptp.v_y)) % 15.84/16.20 (define @t560 () (or @t559 @t558)) % 15.84/16.20 (define @t561 () (not @t557)) % 15.84/16.20 (define @t562 () (and @t535 @t561)) % 15.84/16.20 (define @t563 () (and (=> @t562 @t560) (=> @t557 @t556))) % 15.84/16.20 (define @t564 () (forall @t82 @t563)) % 15.84/16.20 (define @t565 () (=> @t549 @t564)) % 15.84/16.20 (define @t566 () (and @t558 @t561)) % 15.84/16.20 (define @t567 () (forall @t82 (=> @t566 @t534))) % 15.84/16.20 (define @t568 () (=> @t551 @t567)) % 15.84/16.20 (define @t569 () (and @t557 @t544)) % 15.84/16.20 (define @t570 () (and (=> @t562 @t534) (=> @t569 @t550))) % 15.84/16.20 (define @t571 () (forall @t82 @t570)) % 15.84/16.20 (define @t572 () (=> @t552 @t571)) % 15.84/16.20 (define @t573 () (and @t572 @t568 @t565)) % 15.84/16.20 (define @t574 () (forall @t169 @t573)) % 15.84/16.20 (define @t575 () (and @t574 @t555)) % 15.84/16.20 (define @t576 () (not @t575)) % 15.84/16.20 (define @t577 () (@var "BOUND_VARIABLE_13104" $$unsorted)) % 15.84/16.20 (define @t578 () (@var "BOUND_VARIABLE_13036" $$unsorted)) % 15.84/16.20 (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)) % 15.84/16.20 (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_y @t577) tptp.v_L))) % 15.84/16.20 (define @t581 () (= tptp.v_x @t578)) % 15.84/16.20 (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_y) tptp.v_L))) % 15.84/16.20 (define @t583 () (@list @t578 @t577)) % 15.84/16.20 (define @t584 () (forall @t583 (or @t582 @t581 @t580 (= tptp.v_x @t577) @t579))) % 15.84/16.20 (define @t585 () (@quantifiers_skolemize @t584 0)) % 15.84/16.20 (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_y) tptp.v_L)) % 15.84/16.20 (define @t587 () (@quantifiers_skolemize @t584 1)) % 15.84/16.20 (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)) % 15.84/16.20 (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_y @t587) tptp.v_L)) % 15.84/16.20 (define @t590 () (not @t589)) % 15.84/16.20 (define @t591 () (not @t586)) % 15.84/16.20 (define @t592 () (or @t591 (= tptp.v_x @t585) @t590 (= tptp.v_x @t587) @t588)) % 15.84/16.20 (define @t593 () (@var "BOUND_VARIABLE_12894" $$unsorted)) % 15.84/16.20 (define @t594 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t593) tptp.v_L)) % 15.84/16.20 (define @t595 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t96 @t593) tptp.v_L))) % 15.84/16.20 (define @t596 () (not @t530)) % 15.84/16.20 (define @t597 () (or @t595 @t594)) % 15.84/16.20 (define @t598 () (or @t596 @t597)) % 15.84/16.20 (define @t599 () (forall (@list @t3 @t96 @t593) @t598)) % 15.84/16.20 (define @t600 () (@list @t593)) % 15.84/16.20 (define @t601 () (forall @t600 @t598)) % 15.84/16.20 (define @t602 () (forall @t600 @t597)) % 15.84/16.20 (define @t603 () (@list @t78)) % 15.84/16.20 (define @t604 () (or @t596 @t602)) % 15.84/16.20 (define @t605 () (not @t535)) % 15.84/16.20 (define @t606 () (forall @t82 (or @t605 @t534))) % 15.84/16.20 (define @t607 () (or @t591 @t590 @t588)) % 15.84/16.20 (define @t608 () (not @t592)) % 15.84/16.20 (define @t609 () (not @t584)) % 15.84/16.20 (define @t610 () (@list false)) % 15.84/16.20 (define @t611 () (@var "BOUND_VARIABLE_13010" $$unsorted)) % 15.84/16.20 (define @t612 () (@var "BOUND_VARIABLE_13012" $$unsorted)) % 15.84/16.20 (define @t613 () (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t612 tptp.v_y) tptp.v_L)) (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 tptp.v_y) tptp.v_L))) % 15.84/16.20 (define @t614 () (@var "BOUND_VARIABLE_13080" $$unsorted)) % 15.84/16.20 (define @t615 () (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t612 @t614) tptp.v_L)) (= tptp.v_x @t614) (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))) % 15.84/16.20 (define @t616 () (and @t615 @t613)) % 15.84/16.20 (define @t617 () (= tptp.v_x @t612)) % 15.84/16.20 (define @t618 () (= tptp.v_x @t611)) % 15.84/16.20 (define @t619 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 @t612) tptp.v_L))) % 15.84/16.20 (define @t620 () (or @t619 @t618 @t617 @t616)) % 15.84/16.20 (define @t621 () (forall (@list @t611 @t612 @t614) @t620)) % 15.84/16.20 (define @t622 () (@quantifiers_skolemize @t621 1)) % 15.84/16.20 (define @t623 () (@quantifiers_skolemize @t621 0)) % 15.84/16.20 (define @t624 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t623 @t622) tptp.v_L)) % 15.84/16.20 (define @t625 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t623 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t626 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t622 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t627 () (not @t626)) % 15.84/16.20 (define @t628 () (or @t627 @t625)) % 15.84/16.20 (define @t629 () (@quantifiers_skolemize @t621 2)) % 15.84/16.20 (define @t630 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t623 @t629) tptp.v_L)) % 15.84/16.20 (define @t631 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t622 @t629) tptp.v_L)) % 15.84/16.20 (define @t632 () (not @t631)) % 15.84/16.20 (define @t633 () (or @t632 (= tptp.v_x @t629) @t630)) % 15.84/16.20 (define @t634 () (and @t633 @t628)) % 15.84/16.20 (define @t635 () (not @t624)) % 15.84/16.20 (define @t636 () (or @t635 (= tptp.v_x @t623) (= tptp.v_x @t622) @t634)) % 15.84/16.20 (define @t637 () (or @t635 @t627 @t625)) % 15.84/16.20 (define @t638 () (@list false true false)) % 15.84/16.20 (define @t639 () (or @t635 @t632 @t630)) % 15.84/16.20 (define @t640 () (not @t636)) % 15.84/16.20 (define @t641 () (not @t621)) % 15.84/16.20 (define @t642 () (or @t229 @t553 @t552 @t551 @t549 @t547 @t546 @t545 @t542)) % 15.84/16.20 (define @t643 () (forall @t169 @t642)) % 15.84/16.20 (define @t644 () (@quantifiers_skolemize @t643 0)) % 15.84/16.20 (define @t645 () (= tptp.v_x @t644)) % 15.84/16.20 (define @t646 () (not @t645)) % 15.84/16.20 (define @t647 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t644) tptp.v_L)) % 15.84/16.20 (define @t648 () (@quantifiers_skolemize @t643 1)) % 15.84/16.20 (define @t649 () (= tptp.v_x @t648)) % 15.84/16.20 (define @t650 () (and @t649 @t647 @t646)) % 15.84/16.20 (define @t651 () (not @t649)) % 15.84/16.20 (define @t652 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t648 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t653 () (and @t645 @t652 @t651)) % 15.84/16.20 (define @t654 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t648 @t644) tptp.v_L)) % 15.84/16.20 (define @t655 () (and @t654 @t651 @t646)) % 15.84/16.20 (define @t656 () (= tptp.v_y @t644)) % 15.84/16.20 (define @t657 () (and @t649 @t656)) % 15.84/16.20 (define @t658 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t648) tptp.v_L)) % 15.84/16.20 (define @t659 () (and @t645 @t658 @t651)) % 15.84/16.20 (define @t660 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t644 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t661 () (and @t649 @t660 @t646)) % 15.84/16.20 (define @t662 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t644 @t648) tptp.v_L)) % 15.84/16.20 (define @t663 () (and @t662 @t646 @t651)) % 15.84/16.20 (define @t664 () (= tptp.v_y @t648)) % 15.84/16.20 (define @t665 () (and @t645 @t664)) % 15.84/16.20 (define @t666 () (= @t644 @t648)) % 15.84/16.20 (define @t667 () (or @t666 @t665 @t663 @t661 @t659 @t657 @t655 @t653 @t650)) % 15.84/16.20 (define @t668 () (not @t660)) % 15.84/16.20 (define @t669 () (not @t646)) % 15.84/16.20 (define @t670 () (not @t647)) % 15.84/16.20 (define @t671 () (or @t229 @t530 @t529)) % 15.84/16.20 (define @t672 () (not @t532)) % 15.84/16.20 (define @t673 () (= @t644 tptp.v_y)) % 15.84/16.20 (define @t674 () (or @t673 @t660 @t647)) % 15.84/16.20 (define @t675 () (forall @t169 @t671)) % 15.84/16.20 (define @t676 () (or @t656 @t660 @t647)) % 15.84/16.20 (define @t677 () (@list false true true true)) % 15.84/16.20 (define @t678 () (not @t654)) % 15.84/16.20 (define @t679 () (not @t651)) % 15.84/16.20 (define @t680 () (not @t662)) % 15.84/16.20 (define @t681 () (or @t666 @t662 @t654)) % 15.84/16.20 (define @t682 () (not @t666)) % 15.84/16.20 (define @t683 () (and @t645 @t682)) % 15.84/16.20 (define @t684 () (not @t658)) % 15.84/16.20 (define @t685 () (not @t652)) % 15.84/16.20 (define @t686 () (or @t664 @t658 @t652)) % 15.84/16.20 (define @t687 () (not @t667)) % 15.84/16.20 (define @t688 () (not @t643)) % 15.84/16.20 (define @t689 () (= @t644 tptp.v_x)) % 15.84/16.20 (define @t690 () (not @t689)) % 15.84/16.20 (define @t691 () (= @t648 tptp.v_x)) % 15.84/16.20 (define @t692 () (and @t691 @t647 @t690)) % 15.84/16.20 (define @t693 () (not @t691)) % 15.84/16.20 (define @t694 () (and @t689 @t652 @t693)) % 15.84/16.20 (define @t695 () (and @t654 @t693 @t690)) % 15.84/16.20 (define @t696 () (and @t691 @t673)) % 15.84/16.20 (define @t697 () (and @t689 @t658 @t693)) % 15.84/16.20 (define @t698 () (and @t691 @t660 @t690)) % 15.84/16.20 (define @t699 () (and @t662 @t690 @t693)) % 15.84/16.20 (define @t700 () (and @t689 (= @t648 tptp.v_y))) % 15.84/16.20 (define @t701 () (or @t666 @t700 @t699 @t698 @t697 @t696 @t695 @t694 @t692)) % 15.84/16.20 (define @t702 () (not @t701)) % 15.84/16.20 (define @t703 () (@var "BOUND_VARIABLE_13055" $$unsorted)) % 15.84/16.20 (define @t704 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t703 tptp.v_y) tptp.v_L))) % 15.84/16.20 (define @t705 () (@var "BOUND_VARIABLE_13132" $$unsorted)) % 15.84/16.20 (define @t706 () (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t703 @t705) tptp.v_L)) (= tptp.v_x @t705) (= tptp.v_y @t705) (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t705) tptp.v_L))) % 15.84/16.20 (define @t707 () (and @t706 @t704)) % 15.84/16.20 (define @t708 () (= tptp.v_x @t703)) % 15.84/16.20 (define @t709 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t703) tptp.v_L))) % 15.84/16.20 (define @t710 () (or @t709 @t708 @t707)) % 15.84/16.20 (define @t711 () (forall (@list @t703 @t705) @t710)) % 15.84/16.20 (define @t712 () (@list @t705)) % 15.84/16.20 (define @t713 () (forall @t712 @t710)) % 15.84/16.20 (define @t714 () (@list @t703)) % 15.84/16.20 (define @t715 () (forall @t712 @t704)) % 15.84/16.20 (define @t716 () (forall @t712 @t706)) % 15.84/16.20 (define @t717 () (@var "BOUND_VARIABLE_12962" $$unsorted)) % 15.84/16.20 (define @t718 () (@list @t717)) % 15.84/16.20 (define @t719 () (and @t716 @t715)) % 15.84/16.20 (define @t720 () (forall @t712 @t707)) % 15.84/16.20 (define @t721 () (or @t709 @t708 @t720)) % 15.84/16.20 (define @t722 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t717) tptp.v_L)) % 15.84/16.20 (define @t723 () (= tptp.v_y @t717)) % 15.84/16.20 (define @t724 () (= tptp.v_x @t717)) % 15.84/16.20 (define @t725 () (@list @t717)) % 15.84/16.20 (define @t726 () (and (forall @t725 (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t703 @t717) tptp.v_L)) @t724 @t723 @t722)) @t704)) % 15.84/16.20 (define @t727 () (or @t709 @t708 @t726)) % 15.84/16.20 (define @t728 () (forall @t714 @t727)) % 15.84/16.20 (define @t729 () (not (= tptp.v_x tptp.v_x))) % 15.84/16.20 (define @t730 () (@var "BOUND_VARIABLE_13053" $$unsorted)) % 15.84/16.20 (define @t731 () (not (= tptp.v_x @t730))) % 15.84/16.20 (define @t732 () (not (= @t730 tptp.v_x))) % 15.84/16.20 (define @t733 () (@list @t730)) % 15.84/16.20 (define @t734 () (or @t731 @t731)) % 15.84/16.20 (define @t735 () (forall @t733 @t731)) % 15.84/16.20 (define @t736 () (or @t735 @t728)) % 15.84/16.20 (define @t737 () (or @t731 @t727)) % 15.84/16.20 (define @t738 () (@list @t730 @t703)) % 15.84/16.20 (define @t739 () (or @t731 @t709 @t708 @t726)) % 15.84/16.20 (define @t740 () (or @t732 @t709 (= @t703 tptp.v_x) @t726)) % 15.84/16.20 (define @t741 () (forall @t738 @t740)) % 15.84/16.20 (define @t742 () (= @t577 tptp.v_x)) % 15.84/16.20 (define @t743 () (or @t582 @t581 @t580 @t742 @t579)) % 15.84/16.20 (define @t744 () (or @t580 @t742 @t579)) % 15.84/16.20 (define @t745 () (or @t582 @t581 @t744)) % 15.84/16.20 (define @t746 () (forall @t583 @t745)) % 15.84/16.20 (define @t747 () (@list @t577)) % 15.84/16.20 (define @t748 () (forall @t747 @t745)) % 15.84/16.20 (define @t749 () (@list @t578)) % 15.84/16.20 (define @t750 () (forall @t747 @t744)) % 15.84/16.20 (define @t751 () (or @t582 @t581 @t750)) % 15.84/16.20 (define @t752 () (not @t558)) % 15.84/16.20 (define @t753 () (forall @t82 (or @t752 @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)))) % 15.84/16.20 (define @t754 () (or @t582 @t581 @t753)) % 15.84/16.20 (define @t755 () (forall @t749 @t754)) % 15.84/16.20 (define @t756 () (@var "BOUND_VARIABLE_13038" $$unsorted)) % 15.84/16.20 (define @t757 () (not (= tptp.v_x @t756))) % 15.84/16.20 (define @t758 () (not (= @t756 tptp.v_x))) % 15.84/16.20 (define @t759 () (@list @t756)) % 15.84/16.20 (define @t760 () (or @t757 @t757)) % 15.84/16.20 (define @t761 () (forall @t759 @t757)) % 15.84/16.20 (define @t762 () (or @t761 @t755)) % 15.84/16.20 (define @t763 () (or @t757 @t754)) % 15.84/16.20 (define @t764 () (@list @t756 @t578)) % 15.84/16.20 (define @t765 () (or @t757 @t582 @t581 @t753)) % 15.84/16.20 (define @t766 () (forall @t764 @t765)) % 15.84/16.20 (define @t767 () (@list @t578 @t756)) % 15.84/16.20 (define @t768 () (or @t758 @t582 (= @t578 tptp.v_x) @t753)) % 15.84/16.20 (define @t769 () (forall @t767 @t768)) % 15.84/16.20 (define @t770 () (@list @t614)) % 15.84/16.20 (define @t771 () (forall @t770 @t620)) % 15.84/16.20 (define @t772 () (@list @t611 @t612)) % 15.84/16.20 (define @t773 () (forall @t770 @t613)) % 15.84/16.20 (define @t774 () (forall @t770 @t615)) % 15.84/16.20 (define @t775 () (@var "BOUND_VARIABLE_12919" $$unsorted)) % 15.84/16.20 (define @t776 () (@list @t775)) % 15.84/16.20 (define @t777 () (and @t774 @t773)) % 15.84/16.20 (define @t778 () (forall @t770 @t616)) % 15.84/16.20 (define @t779 () (or @t619 @t618 @t617 @t778)) % 15.84/16.20 (define @t780 () (= tptp.v_x @t775)) % 15.84/16.20 (define @t781 () (@list @t775)) % 15.84/16.20 (define @t782 () (and (forall @t781 (or (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t612 @t775) tptp.v_L)) @t780 (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t611 @t775) tptp.v_L))) @t613)) % 15.84/16.20 (define @t783 () (or @t619 (= @t611 tptp.v_x) (= @t612 tptp.v_x) @t782)) % 15.84/16.20 (define @t784 () (forall @t772 @t783)) % 15.84/16.20 (define @t785 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t96 @t717) tptp.v_L))) % 15.84/16.20 (define @t786 () (and (forall @t725 (or @t785 @t724 @t723 @t722)) @t556)) % 15.84/16.20 (define @t787 () (not @t548)) % 15.84/16.20 (define @t788 () (or @t540 @t787 @t541 @t786)) % 15.84/16.20 (define @t789 () (forall @t169 @t788)) % 15.84/16.20 (define @t790 () (@list @t3 @t96)) % 15.84/16.20 (define @t791 () (or @t752 @t557 @t534)) % 15.84/16.20 (define @t792 () (forall @t82 @t791)) % 15.84/16.20 (define @t793 () (not @t550)) % 15.84/16.20 (define @t794 () (or @t543 @t793 @t539 @t792)) % 15.84/16.20 (define @t795 () (forall @t169 @t794)) % 15.84/16.20 (define @t796 () (or @t556 @t550)) % 15.84/16.20 (define @t797 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t775) tptp.v_L)) % 15.84/16.20 (define @t798 () (not (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t96 @t775) tptp.v_L))) % 15.84/16.20 (define @t799 () (and (forall @t781 (or @t798 @t780 @t797)) @t796)) % 15.84/16.20 (define @t800 () (or @t596 @t539 @t541 @t799)) % 15.84/16.20 (define @t801 () (forall @t169 @t800)) % 15.84/16.20 (define @t802 () (and @t801 @t795 @t789)) % 15.84/16.20 (define @t803 () (not @t543)) % 15.84/16.20 (define @t804 () (or @t540 @t787 @t803)) % 15.84/16.20 (define @t805 () (not @t540)) % 15.84/16.20 (define @t806 () (or @t543 @t793 @t805)) % 15.84/16.20 (define @t807 () (or @t596 @t805 @t803)) % 15.84/16.20 (define @t808 () (and (=> @t552 @t799) (=> @t551 @t792) (=> @t549 @t786))) % 15.84/16.20 (define @t809 () (@var "BOUND_VARIABLE_12974" $$unsorted)) % 15.84/16.20 (define @t810 () (not (= tptp.v_x @t809))) % 15.84/16.20 (define @t811 () (not (= @t809 tptp.v_x))) % 15.84/16.20 (define @t812 () (@list @t809)) % 15.84/16.20 (define @t813 () (or @t810 @t810)) % 15.84/16.20 (define @t814 () (forall @t812 @t810)) % 15.84/16.20 (define @t815 () (or @t556 @t814)) % 15.84/16.20 (define @t816 () (or @t556 @t810)) % 15.84/16.20 (define @t817 () (or @t810 @t556)) % 15.84/16.20 (define @t818 () (or @t811 @t556)) % 15.84/16.20 (define @t819 () (forall @t812 @t818)) % 15.84/16.20 (define @t820 () (or @t785 (= @t717 tptp.v_x) (= @t717 tptp.v_y) @t722)) % 15.84/16.20 (define @t821 () (forall @t725 @t820)) % 15.84/16.20 (define @t822 () (or @t561 @t556)) % 15.84/16.20 (define @t823 () (forall @t82 @t822)) % 15.84/16.20 (define @t824 () (or @t605 @t557 @t559 @t558)) % 15.84/16.20 (define @t825 () (forall @t82 @t824)) % 15.84/16.20 (define @t826 () (and @t825 @t823)) % 15.84/16.20 (define @t827 () (or @t605 @t557)) % 15.84/16.20 (define @t828 () (not @t561)) % 15.84/16.20 (define @t829 () (not @t562)) % 15.84/16.20 (define @t830 () (@var "BOUND_VARIABLE_12930" $$unsorted)) % 15.84/16.20 (define @t831 () (not (= tptp.v_x @t830))) % 15.84/16.20 (define @t832 () (not (= @t830 tptp.v_x))) % 15.84/16.20 (define @t833 () (@list @t830)) % 15.84/16.20 (define @t834 () (or @t831 @t831)) % 15.84/16.20 (define @t835 () (forall @t833 @t831)) % 15.84/16.20 (define @t836 () (or @t556 @t550 @t835)) % 15.84/16.20 (define @t837 () (or @t556 @t550 @t831)) % 15.84/16.20 (define @t838 () (or @t831 @t556 @t550)) % 15.84/16.20 (define @t839 () (or @t832 @t556 @t550)) % 15.84/16.20 (define @t840 () (forall @t833 @t839)) % 15.84/16.20 (define @t841 () (or @t798 (= @t775 tptp.v_x) @t797)) % 15.84/16.20 (define @t842 () (forall @t781 @t841)) % 15.84/16.20 (define @t843 () (or @t561 @t556 @t550)) % 15.84/16.20 (define @t844 () (forall @t82 @t843)) % 15.84/16.20 (define @t845 () (or @t605 @t557 @t534)) % 15.84/16.20 (define @t846 () (forall @t82 @t845)) % 15.84/16.20 (define @t847 () (and @t846 @t844)) % 15.84/16.20 (define @t848 () (not @t711)) % 15.84/16.20 (define @t849 () (@quantifiers_skolemize @t711 0)) % 15.84/16.20 (define @t850 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t849 tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t851 () (not @t850)) % 15.84/16.20 (define @t852 () (@quantifiers_skolemize @t711 1)) % 15.84/16.20 (define @t853 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t852) tptp.v_L)) % 15.84/16.20 (define @t854 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t849 @t852) tptp.v_L)) % 15.84/16.20 (define @t855 () (not @t854)) % 15.84/16.20 (define @t856 () (or @t855 (= tptp.v_x @t852) (= tptp.v_y @t852) @t853)) % 15.84/16.20 (define @t857 () (and @t856 @t851)) % 15.84/16.20 (define @t858 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y @t849) tptp.v_L)) % 15.84/16.20 (define @t859 () (not @t858)) % 15.84/16.20 (define @t860 () (or @t859 (= tptp.v_x @t849) @t857)) % 15.84/16.20 (define @t861 () (not @t860)) % 15.84/16.20 (define @t862 () (@list true)) % 15.84/16.20 (define @t863 () (@list @t860)) % 15.84/16.20 (define @t864 () (tptp.c_member @t21 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_y tptp.v_y) tptp.v_L)) % 15.84/16.20 (define @t865 () (or @t859 @t851 @t864)) % 15.84/16.20 (define @t866 () (not @t856)) % 15.84/16.20 (define @t867 () (@list @t856)) % 15.84/16.20 (define @t868 () (or @t859 @t855 @t853)) % 15.84/16.20 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 15.84/16.20 (assume @p2 (forall (@list @t8 @t9 @t7 @t11) (=> @t16 (=> @t15 (not @t13))))) % 15.84/16.20 (assume @p3 (forall @t30 (= (tptp.c_member @t21 @t20 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t17 @t23)) (and @t29 (=> @t24 @t27) (=> @t25 @t22))))) % 15.84/16.20 (assume @p4 (forall @t30 (= (tptp.c_member @t21 @t20 (tptp.c_Arrow__Order__Mirabelle_Omktop @t17 @t23)) (and @t25 (=> @t28 @t27) (=> @t29 @t22))))) % 15.84/16.20 (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)))) % 15.84/16.20 (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))))) % 15.84/16.20 (assume @p7 (forall @t45 (= (tptp.c_Nitpick_Orefl_H @t9 @t41) (forall @t6 @t44)))) % 15.84/16.20 (assume @p8 (forall (@list @t32 @t9 @t35) (= (forall (@list @t50) (tptp.hBOOL (tptp.hAPP @t35 @t50))) (forall @t49 (tptp.hBOOL (tptp.hAPP @t35 @t48)))))) % 15.84/16.20 (assume @p9 (forall (@list @t51 @t53 @t52 @t54 @t32 @t9) (= (= @t57 @t56) (and @t55 (= @t52 @t51))))) % 15.84/16.20 (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))))))) % 15.84/16.20 (assume @p11 (forall @t65 (= @t64 @t63))) % 15.84/16.20 (assume @p12 (forall @t69 (=> @t68 (=> @t67 @t66)))) % 15.84/16.20 (assume @p13 (forall (@list @t11 @t9 @t18 @t19) (=> @t26 (= @t64 @t70)))) % 15.84/16.20 (assume @p14 (forall (@list @t19 @t9 @t7 @t11) (=> @t16 (= @t64 @t71)))) % 15.84/16.20 (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)))) % 15.84/16.20 (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)))))) % 15.84/16.20 (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)))) % 15.84/16.20 (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)))))) % 15.84/16.20 (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)))))) % 15.84/16.20 (assume @p20 (forall @t88 (= (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t81 @t86) (exists @t87 (and (= @t86 @t84) @t83))))) % 15.84/16.20 (assume @p21 (forall @t89 (=> @t77 (tptp.c_member @t76 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t17 @t19) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 15.84/16.20 (assume @p22 (forall @t89 (=> @t77 (tptp.c_member @t76 (tptp.c_Arrow__Order__Mirabelle_Omktop @t17 @t19) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 15.84/16.20 (assume @p23 (forall (@list @t52 @t54 @t32 @t9 @t2) (=> @t91 @t90))) % 15.84/16.20 (assume @p24 (forall (@list @t2 @t32 @t41 @t54 @t19 @t9) (=> @t95 (= (tptp.hAPP @t93 @t19) @t92)))) % 15.84/16.20 (assume @p25 (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 @t98 (=> @t97 (= (tptp.hAPP @t2 @t96) (tptp.hAPP @t1 @t96))))))) % 15.84/16.20 (assume @p26 (forall (@list @t52 @t54 @t2 @t32 @t9) (=> @t90 @t91))) % 15.84/16.20 (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)))) % 15.84/16.20 (assume @p28 (forall (@list @t32 @t54 @t19 @t9 @t99 @t100) (=> (tptp.c_member @t43 @t94 @t100) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t9 @t32 @t99 @t100 @t54) @t19) (tptp.hAPP @t99 @t19))))) % 15.84/16.20 (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))))))))) % 15.84/16.20 (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))))))))) % 15.84/16.20 (assume @p31 (forall @t88 (= (tptp.c_Recdef_Owfrec__rel @t9 @t32 @t31 @t80 @t81 @t85) (exists @t87 (and (= @t85 @t84) @t83))))) % 15.84/16.20 (assume @p32 (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))))) % 15.84/16.20 (assume @p33 (forall @t111 (= @t110 (forall @t6 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t54) @t41) @t109))))) % 15.84/16.20 (assume @p34 (forall (@list @t54 @t41 @t52 @t9) (=> @t114 (=> @t113 @t110)))) % 15.84/16.20 (assume @p35 (exists (@list @t115) (tptp.c_member @t76 @t115 tptp.c_Arrow__Order__Mirabelle_OLin))) % 15.84/16.20 (assume @p36 (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)))) % 15.84/16.20 (assume @p37 (forall @t116 (= (tptp.c_member @t9 @t19 (tptp.c_fequal @t18)) @t26))) % 15.84/16.20 (assume @p38 (forall (@list @t7 @t52 @t32 @t11 @t54 @t9) (=> @t66 (=> @t119 @t118)))) % 15.84/16.20 (assume @p39 (forall @t120 (=> @t118 (not (=> @t66 (not @t119)))))) % 15.84/16.20 (assume @p40 (forall @t120 (=> @t118 @t119))) % 15.84/16.20 (assume @p41 (forall @t120 (=> @t118 @t66))) % 15.84/16.20 (assume @p42 (forall @t120 (= @t118 (and @t66 @t119)))) % 15.84/16.20 (assume @p43 (forall (@list @t7 @t11 @t8 @t32 @t9) (=> (tptp.c_member @t34 @t8 @t117) (not (forall @t6 (=> @t122 (forall @t98 (=> (tptp.c_member @t32 @t96 (tptp.hAPP @t7 @t3)) (not (= @t8 @t121)))))))))) % 15.84/16.20 (assume @p44 (forall (@list @t31 @t19 @t9) (=> (not (tptp.c_member @t9 @t19 @t123)) (not (forall @t82 (=> @t107 (tptp.c_member @t9 @t78 @t123))))))) % 15.84/16.20 (assume @p45 (forall (@list @t41 @t19 @t9) (=> (forall @t98 (=> @t97 (tptp.c_member @t9 @t96 @t108))) @t124))) % 15.84/16.20 (assume @p46 (forall (@list @t41 @t54 @t52 @t9) (=> @t127 (=> @t110 @t114)))) % 15.84/16.20 (assume @p47 (forall (@list @t52 @t41 @t54 @t9) (=> @t110 (=> @t127 @t114)))) % 15.84/16.20 (assume @p48 (forall @t45 (= @t128 (forall @t6 (not @t44))))) % 15.84/16.20 (assume @p49 (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))) % 15.84/16.20 (assume @p50 (forall @t130 (=> @t129 (tptp.c_member @t32 @t52 (tptp.c_Relation_ORange @t9 @t32 @t41))))) % 15.84/16.20 (assume @p51 (forall @t69 (=> @t68 (=> @t66 (tptp.c_member @t43 @t112 @t131))))) % 15.84/16.20 (assume @p52 (forall @t133 (= (tptp.c_member @t43 @t132 @t131) (and @t26 @t64)))) % 15.84/16.20 (assume @p53 (forall @t134 (= (tptp.c_Relation_Oconverse @t9 @t9 @t131) @t131))) % 15.84/16.20 (assume @p54 (forall @t136 (= (tptp.c_Relation_Oconverse @t32 @t9 @t135) @t41))) % 15.84/16.20 (assume @p55 (forall @t134 (= (tptp.c_Relation_ORange @t9 @t9 @t131) @t11))) % 15.84/16.20 (assume @p56 (forall @t130 (= @t141 @t139))) % 15.84/16.20 (assume @p57 (forall @t130 (=> @t129 (tptp.c_member @t138 @t137 @t135)))) % 15.84/16.20 (assume @p58 (forall @t130 (=> @t141 @t139))) % 15.84/16.20 (assume @p59 (forall @t143 (= (tptp.c_member @t9 @t54 @t142) (exists @t98 (tptp.c_member @t138 (tptp.c_Product__Type_OPair @t32 @t9 @t96 @t54) @t41))))) % 15.84/16.20 (assume @p60 (forall @t111 (tptp.c_member @t43 @t144 @t125))) % 15.84/16.20 (assume @p61 (forall @t147 (=> @t146 (tptp.c_member @t43 @t145 @t125)))) % 15.84/16.20 (assume @p62 (forall @t153 (=> @t152 @t150))) % 15.84/16.20 (assume @p63 (forall @t154 (=> @t150 @t152))) % 15.84/16.20 (assume @p64 (forall @t160 (=> @t113 @t159))) % 15.84/16.20 (assume @p65 (forall @t160 (=> @t162 (=> @t161 @t156)))) % 15.84/16.20 (assume @p66 (forall @t160 (=> @t162 @t159))) % 15.84/16.20 (assume @p67 (forall @t45 (= @t149 (tptp.c_Relation_Oconverse @t9 @t9 @t125)))) % 15.84/16.20 (assume @p68 (forall (@list @t11 @t8 @t9) (=> (tptp.c_member @t43 @t8 @t131) (not (forall @t6 (=> @t122 (not (= @t8 @t42)))))))) % 15.84/16.20 (assume @p69 (forall @t45 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t125) @t125))) % 15.84/16.20 (assume @p70 (forall (@list @t41 @t32 @t52 @t9) (=> (tptp.c_member @t9 @t52 @t142) (not (forall @t6 (not @t163)))))) % 15.84/16.20 (assume @p71 (forall (@list @t23 @t18 @t19 @t41 @t9) (=> (tptp.c_Relation_Osingle__valued @t9 @t9 @t41) (=> @t167 (=> @t166 (or (tptp.c_member @t43 @t164 @t125) (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t23 @t18) @t125))))))) % 15.84/16.20 (assume @p72 (forall (@list @t41 @t168 @t32 @t9) (=> (tptp.c_member @t34 @t168 @t140) (not (forall @t169 (=> (= @t168 (tptp.c_Product__Type_OPair @t9 @t32 @t96 @t3)) (not (tptp.c_member @t138 (tptp.c_Product__Type_OPair @t32 @t9 @t3 @t96) @t41)))))))) % 15.84/16.20 (assume @p73 (forall (@list @t18 @t31 @t19 @t9) (=> (not (tptp.c_member @t9 @t19 (tptp.c_Relation_ODomain @t9 @t9 @t31))) (= @t171 @t26)))) % 15.84/16.20 (assume @p74 (forall @t130 (=> @t129 @t173))) % 15.84/16.20 (assume @p75 (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))))) % 15.84/16.20 (assume @p76 (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))))) % 15.84/16.20 (assume @p77 (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))))))))) % 15.84/16.20 (assume @p78 (forall @t197 (=> @t162 (=> @t104 (not (forall @t98 (=> @t196 (not (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t96 @t52) @t41))))))))) % 15.84/16.20 (assume @p79 (forall @t134 (= (tptp.c_Relation_ODomain @t9 @t9 @t131) @t11))) % 15.84/16.20 (assume @p80 (forall @t134 (tptp.c_Relation_Osingle__valued @t9 @t9 @t131))) % 15.84/16.20 (assume @p81 (forall @t136 (= @t142 @t198))) % 15.84/16.20 (assume @p82 (forall @t199 (= @t198 @t142))) % 15.84/16.20 (assume @p83 (forall @t136 (= (tptp.c_Relation_ORange @t32 @t9 @t135) @t172))) % 15.84/16.20 (assume @p84 (forall @t199 (= @t201 @t200))) % 15.84/16.20 (assume @p85 (forall (@list @t23 @t18 @t19 @t41 @t32 @t9) (=> @t201 (=> (tptp.c_member @t34 @t33 @t41) (=> (tptp.c_member @t34 (tptp.c_Product__Type_OPair @t9 @t32 @t19 @t23) @t41) @t28))))) % 15.84/16.20 (assume @p86 (forall @t143 (= @t173 (exists @t98 @t202)))) % 15.84/16.20 (assume @p87 (forall @t143 (=> @t173 (not (forall @t98 (not @t202)))))) % 15.84/16.20 (assume @p88 (forall @t199 (=> @t200 @t201))) % 15.84/16.20 (assume @p89 (forall @t208 (=> @t162 (=> @t207 (=> (forall @t98 (=> @t196 (forall @t82 (=> @t206 (=> @t205 @t204))))) @t203))))) % 15.84/16.20 (assume @p90 (forall @t208 (=> @t162 (=> @t203 (=> (forall (@list @t96 @t78) (=> @t206 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t78 @t52) @t125) (=> @t204 @t205)))) @t207))))) % 15.84/16.20 (assume @p91 (forall @t211 (=> @t166 (=> @t25 (not (forall @t98 (=> @t210 (not (tptp.c_member @t43 @t209 @t125))))))))) % 15.84/16.20 (assume @p92 (forall @t216 (= @t215 (forall @t6 (=> @t122 (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))))))))) % 15.84/16.20 (assume @p93 (forall (@list @t2 @t41 @t32 @t18 @t19 @t9) (= (tptp.c_member @t43 @t132 (tptp.hAPP (tptp.c_Relation_Oinv__image @t32 @t9 @t41) @t2)) (tptp.c_member @t39 (tptp.c_Product__Type_OPair @t32 @t32 @t92 @t217) @t41)))) % 15.84/16.20 (assume @p94 (forall (@list @t54 @t41 @t11 @t9) (=> @t219 (=> @t66 @t218)))) % 15.84/16.20 (assume @p95 (forall @t216 (= (tptp.c_Relation_Orefl__on @t9 @t11 @t148) @t219))) % 15.84/16.20 (assume @p96 (forall @t134 (tptp.c_Relation_Orefl__on @t9 @t11 @t131))) % 15.84/16.20 (assume @p97 (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)))) % 15.84/16.20 (assume @p98 (forall @t216 (= (tptp.c_Relation_Ototal__on @t9 @t11 @t148) @t215))) % 15.84/16.20 (assume @p99 (forall @t221 (=> @t219 (=> @t220 @t70)))) % 15.84/16.20 (assume @p100 (forall @t221 (=> @t219 (=> @t220 @t64)))) % 15.84/16.20 (assume @p101 (forall @t197 (=> @t223 @t162))) % 15.84/16.20 (assume @p102 (forall @t225 (tptp.c_member @t43 @t144 @t224))) % 15.84/16.20 (assume @p103 (forall @t228 (=> @t227 (=> @t113 (=> @t226 @t68))))) % 15.84/16.20 (assume @p104 (forall @t45 (= @t227 @t234))) % 15.84/16.20 (assume @p105 (forall @t154 (=> @t238 @t236))) % 15.84/16.20 (assume @p106 (forall @t154 (=> @t236 @t238))) % 15.84/16.20 (assume @p107 (forall (@list @t23 @t41 @t18 @t19 @t9) (=> @t167 (=> (tptp.c_member @t43 @t164 @t222) @t239)))) % 15.84/16.20 (assume @p108 (forall @t160 (=> @t223 @t241))) % 15.84/16.20 (assume @p109 (forall @t197 (=> @t113 @t223))) % 15.84/16.20 (assume @p110 (forall @t242 (tptp.c_Relation_Oantisym @t9 @t224))) % 15.84/16.20 (assume @p111 (forall @t147 (=> @t146 @t243))) % 15.84/16.20 (assume @p112 (forall @t245 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t244) @t170))) % 15.84/16.20 (assume @p113 (forall @t245 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t170) @t170))) % 15.84/16.20 (assume @p114 (forall @t45 (= @t237 @t235))) % 15.84/16.20 (assume @p115 (forall @t45 (= (tptp.c_Relation_ODomain @t9 @t9 @t222) @t246))) % 15.84/16.20 (assume @p116 (forall @t45 (= (tptp.c_Relation_ORange @t9 @t9 @t222) @t247))) % 15.84/16.20 (assume @p117 (forall @t242 (= (tptp.c_Relation_Oconverse @t9 @t9 @t224) @t224))) % 15.84/16.20 (assume @p118 (forall @t242 (tptp.c_Relation_Osingle__valued @t9 @t9 @t224))) % 15.84/16.20 (assume @p119 (forall @t45 (= (tptp.c_Relation_Oantisym @t9 @t148) @t227))) % 15.84/16.20 (assume @p120 (forall (@list @t8 @t31 @t52 @t54 @t9) (=> (tptp.c_member @t43 @t112 @t31) (=> (tptp.c_member @t43 @t157 @t31) (tptp.c_member @t43 @t155 @t244))))) % 15.84/16.20 (assume @p121 (forall @t160 (=> @t113 @t248))) % 15.84/16.20 (assume @p122 (forall @t160 (=> @t223 @t249))) % 15.84/16.20 (assume @p123 (forall @t160 (=> @t223 @t248))) % 15.84/16.20 (assume @p124 (forall @t134 (tptp.c_Relation_Oantisym @t9 @t131))) % 15.84/16.20 (assume @p125 (forall @t250 (= (tptp.c_member @t43 @t112 @t224) @t68))) % 15.84/16.20 (assume @p126 (forall @t252 (= @t171 (or @t26 (and @t27 @t251))))) % 15.84/16.20 (assume @p127 (forall @t160 (=> @t113 @t241))) % 15.84/16.20 (assume @p128 (forall (@list @t31 @t52 @t54 @t9) (=> (tptp.c_member @t43 @t112 @t170) (or @t68 (and @t104 (tptp.c_member @t43 @t112 @t244)))))) % 15.84/16.20 (assume @p129 (forall @t160 (=> @t162 @t249))) % 15.84/16.20 (assume @p130 (forall @t252 (=> @t251 (exists @t82 (and (tptp.c_member @t43 @t254 @t170) (tptp.c_member @t43 @t253 @t31)))))) % 15.84/16.20 (assume @p131 (forall @t252 (=> @t251 (exists @t82 (and (tptp.c_member @t43 @t254 @t31) (tptp.c_member @t43 @t253 @t170)))))) % 15.84/16.20 (assume @p132 (forall (@list @t145 @t9) (=> (tptp.c_member @t43 @t145 @t224) (not (forall @t6 (not (= @t145 @t42))))))) % 15.84/16.20 (assume @p133 (forall @t45 (= @t256 @t255))) % 15.84/16.20 (assume @p134 (forall @t45 (=> @t234 @t227))) % 15.84/16.20 (assume @p135 (forall (@list @t18 @t19 @t41 @t9) (=> @t255 (=> @t220 @t27)))) % 15.84/16.20 (assume @p136 (forall @t211 (=> @t239 (=> (not (tptp.c_member @t43 @t165 @t41)) (not (forall @t98 (=> @t210 (not (tptp.c_member @t43 @t209 @t222))))))))) % 15.84/16.20 (assume @p137 (forall @t45 (= (tptp.c_Wellfounded_Oacyclic @t9 @t148) @t256))) % 15.84/16.20 (assume @p138 (forall @t45 (=> @t256 (tptp.c_Relation_Oantisym @t9 @t125)))) % 15.84/16.20 (assume @p139 (forall @t45 (=> @t255 @t256))) % 15.84/16.20 (assume @p140 (forall @t153 (= (tptp.c_Wellfounded_Oacyclic @t9 @t258) (and @t256 @t257)))) % 15.84/16.20 (assume @p141 (forall @t197 (=> @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))))))))) % 15.84/16.20 (assume @p142 (forall @t45 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t222 @t224) @t125))) % 15.84/16.20 (assume @p143 (forall @t45 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t261) @t125))) % 15.84/16.20 (assume @p144 (forall @t45 (tptp.c_Relation_Oirrefl @t9 @t262))) % 15.84/16.20 (assume @p145 (forall @t268 (=> @t267 (=> (not @t63) @t264)))) % 15.84/16.20 (assume @p146 (forall (@list @t9 @t11 @t19 @t7) (=> (=> @t269 @t63) @t267))) % 15.84/16.20 (assume @p147 (forall @t271 (=> @t270 (=> @t104 @t66)))) % 15.84/16.20 (assume @p148 (forall @t275 (=> (=> (not @t274) @t68) @t273))) % 15.84/16.20 (assume @p149 (forall @t277 (=> @t276 @t13))) % 15.84/16.20 (assume @p150 (forall @t278 (=> (=> @t14 @t12) @t276))) % 15.84/16.20 (assume @p151 (forall @t277 (=> @t12 (=> @t14 @t280)))) % 15.84/16.20 (assume @p152 (forall @t277 (=> @t280 (not @t281)))) % 15.84/16.20 (assume @p153 (forall (@list @t75 @t7 @t41 @t11 @t9) (=> @t219 (=> (tptp.c_Relation_Orefl__on @t9 @t7 @t75) (tptp.c_Relation_Orefl__on @t9 @t266 @t282))))) % 15.84/16.20 (assume @p154 (forall (@list @t7 @t9 @t19 @t11) (=> @t63 @t267))) % 15.84/16.20 (assume @p155 (forall (@list @t11 @t9 @t19 @t7) (=> @t264 @t267))) % 15.84/16.20 (assume @p156 (forall @t134 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t11) @t11))) % 15.84/16.20 (assume @p157 (forall @t284 (= @t266 @t283))) % 15.84/16.20 (assume @p158 (forall @t65 (= (tptp.c_Set_Oinsert @t9 @t19 @t285) @t285))) % 15.84/16.20 (assume @p159 (forall @t284 (= @t287 @t266))) % 15.84/16.20 (assume @p160 (forall @t284 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t266) @t266))) % 15.84/16.20 (assume @p161 (forall @t133 (= (tptp.c_Set_Oinsert @t9 @t19 @t288) (tptp.c_Set_Oinsert @t9 @t18 @t285)))) % 15.84/16.20 (assume @p162 (forall @t290 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t289) (tptp.c_Set_Oinsert @t9 @t54 @t266)))) % 15.84/16.20 (assume @p163 (forall @t294 (= @t293 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t291))))) % 15.84/16.20 (assume @p164 (forall @t284 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t279 @t7) @t279))) % 15.84/16.20 (assume @p165 (forall @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t286 @t11) @t283))) % 15.84/16.20 (assume @p166 (forall (@list @t291 @t7 @t54 @t9) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t289 @t291) (tptp.c_Set_Oinsert @t9 @t54 @t292)))) % 15.84/16.20 (assume @p167 (forall @t294 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t266 @t291) @t293))) % 15.84/16.20 (assume @p168 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t266 @t291) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t291) (tptp.c_Groups_Ominus__class_Ominus @t265 @t7 @t291))))) % 15.84/16.20 (assume @p169 (forall @t299 (= (exists @t6 (and @t298 @t296)) (or (exists @t6 (and @t122 @t296)) (exists @t6 (and @t297 @t296)))))) % 15.84/16.20 (assume @p170 (forall @t299 (= (forall @t6 (=> @t298 @t296)) (and (forall @t6 (=> @t122 @t296)) (forall @t6 (=> @t297 @t296)))))) % 15.84/16.20 (assume @p171 (forall (@list @t19 @t11 @t18 @t9) (= (tptp.hBOOL (tptp.hAPP @t288 @t19)) (or (= @t18 @t19) @t63)))) % 15.84/16.20 (assume @p172 (forall @t303 (and @t302 (=> @t301 (= @t300 (tptp.c_Set_Oinsert @t9 @t19 @t279)))))) % 15.84/16.20 (assume @p173 (forall @t303 @t302)) % 15.84/16.20 (assume @p174 (forall (@list @t7 @t11 @t9 @t32) (= (tptp.c_Relation_ORange @t32 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t306 @t11 @t7)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t305 @t304)))) % 15.84/16.20 (assume @p175 (forall @t310 (= (tptp.c_Relation_ODomain @t9 @t32 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t309 @t11 @t7)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t308 @t307)))) % 15.84/16.20 (assume @p176 (forall @t130 (= (tptp.c_Relation_ODomain @t9 @t32 (tptp.c_Set_Oinsert @t34 @t57 @t41)) (tptp.c_Set_Oinsert @t9 @t54 @t172)))) % 15.84/16.20 (assume @p177 (forall (@list @t41 @t52 @t54 @t9 @t32) (= (tptp.c_Relation_ORange @t32 @t9 (tptp.c_Set_Oinsert @t138 @t311 @t41)) (tptp.c_Set_Oinsert @t9 @t52 @t142)))) % 15.84/16.20 (assume @p178 (forall @t277 (= @t280 (and @t12 @t14)))) % 15.84/16.20 (assume @p179 (forall @t277 (=> @t280 @t12))) % 15.84/16.20 (assume @p180 (forall @t277 (=> @t280 @t14))) % 15.84/16.20 (assume @p181 (forall @t277 (= @t276 (or @t12 @t10)))) % 15.84/16.20 (assume @p182 (forall @t277 (=> @t12 @t276))) % 15.84/16.20 (assume @p183 (forall @t278 (=> @t10 @t276))) % 15.84/16.20 (assume @p184 (forall (@list @t7 @t54 @t9) (tptp.c_member @t9 @t54 @t289))) % 15.84/16.20 (assume @p185 (forall @t271 (= @t270 (or @t68 @t66)))) % 15.84/16.20 (assume @p186 (forall @t314 (=> @t313 (=> @t301 (= (= @t285 @t312) @t16))))) % 15.84/16.20 (assume @p187 (forall @t275 (=> @t274 @t273))) % 15.84/16.20 (assume @p188 (forall @t316 (=> @t66 (= @t315 @t11)))) % 15.84/16.20 (assume @p189 (forall @t321 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t320) @t318))) % 15.84/16.20 (assume @p190 (forall (@list @t75 @t41 @t9 @t32) (= (tptp.c_Relation_Oconverse @t32 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t306 @t41 @t75)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t309 @t140 (tptp.c_Relation_Oconverse @t32 @t9 @t75))))) % 15.84/16.20 (assume @p191 (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)))) % 15.84/16.20 (assume @p192 (forall @t45 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t262) @t125))) % 15.84/16.20 (assume @p193 (forall @t245 (= (tptp.c_Transitive__Closure_Ortrancl @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t31 @t224)) @t170))) % 15.84/16.20 (assume @p194 (forall @t245 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t260 @t170 @t224) @t170))) % 15.84/16.20 (assume @p195 (forall @t45 (= (tptp.c_Relation_Oantisym @t9 @t261) @t227))) % 15.84/16.20 (assume @p196 (forall @t216 (= (tptp.c_Relation_Ototal__on @t9 @t11 @t262) @t215))) % 15.84/16.20 (assume @p197 (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))))) % 15.84/16.20 (assume @p198 (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 @t92 @t323))))) % 15.84/16.20 (assume @p199 (forall @t329 (=> @t328 (=> (forall @t6 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t3 @t52) @t325) (forall @t98 (=> (tptp.c_member @t43 @t230 @t327) (= @t96 @t3))))) @t326)))) % 15.84/16.20 (assume @p200 (forall @t329 (=> @t328 (=> (forall @t6 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t3) @t325) (forall @t98 (=> (tptp.c_member @t43 @t232 @t327) @t229)))) @t326)))) % 15.84/16.20 (assume @p201 (forall @t45 (=> @t330 (=> @t227 (tptp.c_Relation_Otrans @t9 @t262))))) % 15.84/16.20 (assume @p202 (forall @t153 (= (tptp.c_Wellfounded_Owf @t9 @t258) (and @t331 @t257)))) % 15.84/16.20 (assume @p203 (forall @t333 (=> @t331 (tptp.c_Wellfounded_Owf @t32 @t332)))) % 15.84/16.20 (assume @p204 (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)))))) % 15.84/16.20 (assume @p205 (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)))))) % 15.84/16.20 (assume @p206 (forall @t45 (=> @t331 (tptp.c_Wellfounded_Owf @t9 @t222)))) % 15.84/16.20 (assume @p207 (forall @t45 (=> @t331 @t256))) % 15.84/16.20 (assume @p208 (forall @t45 (tptp.c_Relation_Otrans @t9 @t125))) % 15.84/16.20 (assume @p209 (forall @t45 (=> @t330 (= @t222 @t41)))) % 15.84/16.20 (assume @p210 (forall @t45 (tptp.c_Relation_Otrans @t9 @t222))) % 15.84/16.20 (assume @p211 (forall @t45 (= (tptp.c_Relation_Otrans @t9 @t148) @t330))) % 15.84/16.20 (assume @p212 (forall @t242 (tptp.c_Relation_Otrans @t9 @t224))) % 15.84/16.20 (assume @p213 (forall @t134 (tptp.c_Relation_Otrans @t9 @t131))) % 15.84/16.20 (assume @p214 (forall @t333 (=> @t330 (tptp.c_Relation_Otrans @t32 @t332)))) % 15.84/16.20 (assume @p215 (forall (@list @t54 @t41 @t9) (=> @t331 (not @t218)))) % 15.84/16.20 (assume @p216 (forall (@list @t19 @t54 @t41 @t9) (=> @t331 (=> (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t54 @t19) @t41) (not @t95))))) % 15.84/16.20 (assume @p217 (forall @t338 (=> @t331 @t124))) % 15.84/16.20 (assume @p218 (forall @t45 (= @t331 @t339))) % 15.84/16.20 (assume @p219 (forall @t45 (=> (tptp.c_Wellfounded_Owf @t9 @t148) (tptp.c_Wellfounded_Owf @t9 @t235)))) % 15.84/16.20 (assume @p220 (forall (@list @t8 @t52 @t54 @t41 @t9) (=> @t330 (=> @t113 (=> @t161 (tptp.c_member @t43 @t155 @t41)))))) % 15.84/16.20 (assume @p221 (forall @t45 (= @t330 @t340))) % 15.84/16.20 (assume @p222 (forall @t45 (=> @t330 (tptp.c_Relation_Otrans @t9 @t261)))) % 15.84/16.20 (assume @p223 (forall (@list @t61 @t9) (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t61) @t61)))) % 15.84/16.20 (assume @p224 (forall @t343 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t342) @t342)))) % 15.84/16.20 (assume @p225 (forall @t345 (=> @t341 (= @t344 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t59 @t61))))) % 15.84/16.20 (assume @p226 (forall @t349 (=> @t324 @t348))) % 15.84/16.20 (assume @p227 (forall @t349 (=> @t341 @t348))) % 15.84/16.20 (assume @p228 (forall @t345 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t344) @t344)))) % 15.84/16.20 (assume @p229 (forall @t349 (=> @t324 @t350))) % 15.84/16.20 (assume @p230 (forall @t349 (=> @t341 @t350))) % 15.84/16.20 (assume @p231 (forall @t353 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t59 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t61 @t351)) @t352)))) % 15.84/16.20 (assume @p232 (forall @t359 (=> @t324 @t358))) % 15.84/16.20 (assume @p233 (forall @t359 (=> @t341 @t358))) % 15.84/16.20 (assume @p234 (forall @t360 (=> @t341 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t344 @t351) @t352)))) % 15.84/16.20 (assume @p235 (forall @t359 (=> @t324 @t361))) % 15.84/16.20 (assume @p236 (forall @t359 (=> @t341 @t361))) % 15.84/16.20 (assume @p237 (forall @t216 (= (tptp.c_Order__Relation_Ostrict__linear__order__on @t9 @t11 @t41) (and @t330 @t128 @t215)))) % 15.84/16.20 (assume @p238 (forall (@list @t2 @t9) (tptp.c_Wellfounded_Owf @t9 @t363))) % 15.84/16.20 (assume @p239 (forall (@list @t32 @t9 @t364 @t100) (=> (tptp.c_Wellfounded_Owf @t9 @t100) (forall @t6 (= (tptp.hAPP @t365 @t3) (tptp.hAPP (tptp.hAPP @t364 (tptp.c_Recdef_Ocut @t9 @t32 @t365 @t100 @t3)) @t3)))))) % 15.84/16.20 (assume @p240 (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))))) % 15.84/16.20 (assume @p241 (forall (@list @t54 @t366 @t41 @t32 @t9 @t2) (=> (= @t2 @t367) (=> @t331 (= (tptp.hAPP @t2 @t54) (tptp.hAPP (tptp.hAPP @t366 @t93) @t54)))))) % 15.84/16.20 (assume @p242 (forall @t216 (=> @t368 (tptp.c_Order__Relation_Ostrict__linear__order__on @t9 @t11 @t262)))) % 15.84/16.20 (assume @p243 (forall (@list @t9 @t31 @t32 @t35) (=> (forall @t6 (=> @t296 (tptp.c_Wellfounded_Owf @t32 (tptp.hAPP @t31 @t3)))) (tptp.c_Wellfounded_Owf @t34 @t36)))) % 15.84/16.20 (assume @p244 (forall @t216 (= @t369 (and @t219 @t330)))) % 15.84/16.20 (assume @p245 (forall @t45 (= @t331 (forall (@list @t370) (=> (exists @t6 @t371) (exists @t6 (and @t371 (forall @t98 (=> @t231 (not (tptp.c_member @t9 @t96 @t370))))))))))) % 15.84/16.20 (assume @p246 (forall @t216 (= (tptp.c_Order__Relation_Opreorder__on @t9 @t11 @t148) @t369))) % 15.84/16.20 (assume @p247 (forall @t216 (= (tptp.c_Order__Relation_Olinear__order__on @t9 @t11 @t148) @t368))) % 15.84/16.20 (assume @p248 (forall @t216 (= (tptp.c_Order__Relation_Owell__order__on @t9 @t11 @t41) (and @t368 (tptp.c_Wellfounded_Owf @t9 @t262))))) % 15.84/16.20 (assume @p249 (forall @t216 (= @t368 (and @t372 @t215)))) % 15.84/16.20 (assume @p250 (forall @t216 (= @t372 (and @t369 @t227)))) % 15.84/16.20 (assume @p251 (forall @t245 (=> @t373 (tptp.c_Wellfounded_OwfP @t9 (tptp.c_FunDef_Oin__rel @t9 @t9 @t31))))) % 15.84/16.20 (assume @p252 (forall @t216 (= (tptp.c_Order__Relation_Opartial__order__on @t9 @t11 @t148) @t372))) % 15.84/16.20 (assume @p253 (forall @t45 (=> @t339 @t331))) % 15.84/16.20 (assume @p254 (forall @t45 (= @t374 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t246 @t247)))) % 15.84/16.20 (assume @p255 (forall (@list @t2 @t18 @t19 @t9) (= (tptp.c_member @t43 @t132 @t363) @t375))) % 15.84/16.20 (assume @p256 (forall @t45 (=> @t340 @t330))) % 15.84/16.20 (assume @p257 (forall @t45 (= (tptp.c_Relation_OField @t9 @t148) @t374))) % 15.84/16.20 (assume @p258 (forall @t377 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t61) @t376)))) % 15.84/16.20 (assume @p259 (forall @t378 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t59) @t376)))) % 15.84/16.20 (assume @p260 (forall @t380 (= (tptp.c_Relation_OField @t9 @t282) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t374 @t379)))) % 15.84/16.20 (assume @p261 (forall @t383 (=> @t375 @t382))) % 15.84/16.20 (assume @p262 (forall @t387 (=> @t386 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t54 @t52) (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t384)))))) % 15.84/16.20 (assume @p263 (forall @t197 (= (tptp.c_Relation_OField @t9 (tptp.c_Set_Oinsert @t43 @t112 @t41)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t390 @t374)))) % 15.84/16.20 (assume @p264 (forall @t242 (= @t362 (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t9 tptp.c_Wellfounded_Oless__than)))) % 15.84/16.20 (assume @p265 (forall @t242 (tptp.c_Wellfounded_Owf @t9 @t391))) % 15.84/16.20 (assume @p266 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 15.84/16.20 (assume @p267 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 15.84/16.20 (assume @p268 (forall @t225 (not (tptp.c_member @t9 @t54 @t388)))) % 15.84/16.20 (assume @p269 (forall @t242 (= (tptp.c_Relation_OField @t9 @t391) @t388))) % 15.84/16.20 (assume @p270 (forall @t134 (not (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t388)))) % 15.84/16.20 (assume @p271 (forall @t393 (=> @t392 @t281))) % 15.84/16.20 (assume @p272 (forall @t242 (tptp.c_Order__Relation_Olinear__order__on @t9 @t388 @t391))) % 15.84/16.20 (assume @p273 (forall @t242 (tptp.c_Order__Relation_Opreorder__on @t9 @t388 @t391))) % 15.84/16.20 (assume @p274 (forall (@list @t54 @t9 @t11) (=> @t394 (not @t66)))) % 15.84/16.20 (assume @p275 (forall (@list @t8 @t9) (not (tptp.c_member @t9 @t8 @t388)))) % 15.84/16.20 (assume @p276 (forall @t134 (= (exists @t6 @t122) (not @t394)))) % 15.84/16.20 (assume @p277 (forall @t134 (= (forall @t6 (not @t122)) @t394))) % 15.84/16.20 (assume @p278 (forall @t250 (=> (= @t395 @t389) @t68))) % 15.84/16.20 (assume @p279 (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)))))) % 15.84/16.20 (assume @p280 (forall @t316 (not (= @t315 @t388)))) % 15.84/16.20 (assume @p281 (forall @t316 (not (= @t388 @t315)))) % 15.84/16.20 (assume @p282 (forall @t242 (tptp.c_Relation_Orefl__on @t9 @t388 @t391))) % 15.84/16.20 (assume @p283 (forall (@list @t9 @t32) (= (tptp.c_Relation_ORange @t32 @t9 @t396) @t388))) % 15.84/16.20 (assume @p284 (forall @t136 (= (= @t142 @t388) (= @t41 @t396)))) % 15.84/16.20 (assume @p285 (forall (@list @t7 @t32 @t9) (= (tptp.c_Product__Type_OSigma @t9 @t32 @t388 @t7) @t397))) % 15.84/16.20 (assume @p286 (forall @t242 (= (tptp.c_Relation_OId__on @t9 @t388) @t391))) % 15.84/16.20 (assume @p287 (forall @t199 (= (= @t172 @t388) (= @t41 @t397)))) % 15.84/16.20 (assume @p288 (forall (@list @t32 @t9) (= (tptp.c_Relation_ODomain @t9 @t32 @t397) @t388))) % 15.84/16.20 (assume @p289 (forall @t242 (= (tptp.c_Transitive__Closure_Otrancl @t9 @t391) @t391))) % 15.84/16.20 (assume @p290 (forall @t134 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t11) @t388))) % 15.84/16.20 (assume @p291 (forall @t134 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t11 @t388) @t11))) % 15.84/16.20 (assume @p292 (forall @t134 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t388 @t11) @t388))) % 15.84/16.20 (assume @p293 (forall @t284 (= (= @t266 @t388) (and @t394 (= @t7 @t388))))) % 15.84/16.20 (assume @p294 (forall @t134 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t11 @t388) @t11))) % 15.84/16.20 (assume @p295 (forall (@list @t7 @t9) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t388 @t7) @t7))) % 15.84/16.20 (assume @p296 (forall @t242 (tptp.c_Relation_Oantisym @t9 @t391))) % 15.84/16.20 (assume @p297 (forall @t242 (tptp.c_Order__Relation_Opartial__order__on @t9 @t388 @t391))) % 15.84/16.20 (assume @p298 (forall @t242 (tptp.c_Order__Relation_Owell__order__on @t9 @t388 @t391))) % 15.84/16.20 (assume @p299 (forall @t45 (tptp.c_Relation_Ototal__on @t9 @t388 @t41))) % 15.84/16.20 (assume @p300 (forall @t343 (=> @t399 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t398 @t342) @t342)))) % 15.84/16.20 (assume @p301 (forall @t343 (=> @t399 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t342 @t398) @t342)))) % 15.84/16.20 (assume @p302 (forall @t116 (=> @t399 (= (= @t400 @t398) (and (= @t19 @t398) (= @t18 @t398)))))) % 15.84/16.20 (assume @p303 (forall @t403 (= @t402 @t401))) % 15.84/16.20 (assume @p304 (forall @t403 (=> @t402 @t401))) % 15.84/16.20 (assume @p305 (forall @t316 (= @t315 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t395 @t11)))) % 15.84/16.20 (assume @p306 (forall @t290 (= @t404 (tptp.c_Groups_Ominus__class_Ominus @t265 @t279 @t395)))) % 15.84/16.20 (assume @p307 (forall @t290 (= @t404 (tptp.c_Groups_Ominus__class_Ominus @t265 @t405 @t7)))) % 15.84/16.20 (assume @p308 (forall @t316 (= @t406 @t315))) % 15.84/16.20 (assume @p309 (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)))) % 15.84/16.20 (assume @p310 (forall @t242 (= (tptp.c_Transitive__Closure_Ortrancl @t9 @t391) @t224))) % 15.84/16.20 (assume @p311 (forall @t316 (=> @t66 (= @t406 @t11)))) % 15.84/16.20 (assume @p312 (forall @t65 (=> @t313 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t285 @t408) @t11)))) % 15.84/16.20 (assume @p313 (forall @t387 (=> (tptp.class_Groups_Oab__group__add @t9) (=> @t385 (= @t68 (= @t8 @t384)))))) % 15.84/16.20 (assume @p314 (forall (@list @t2 @t31 @t9) (=> @t373 (tptp.c_Wellfounded_Owf @t9 @t381)))) % 15.84/16.20 (assume @p315 (forall (@list @t19 @t9) (= (tptp.c_Set_Othe__elem @t9 @t408) @t19))) % 15.84/16.20 (assume @p316 (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 @t92 @t18)))))) % 15.84/16.20 (assume @p317 (forall (@list @t19 @t32 @t9) (=> @t410 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t322) @t19) @t398)))) % 15.84/16.20 (assume @p318 (forall @t228 (=> (tptp.c_Relation_Orefl__on @t9 @t374 @t41) (=> @t227 @t415)))) % 15.84/16.20 (assume @p319 (forall @t294 (=> @t392 @t417))) % 15.84/16.20 (assume @p320 (forall (@list @t31 @t9 @t32) (= (tptp.c_Relation_OImage @t32 @t9 @t31 @t419) @t388))) % 15.84/16.20 (assume @p321 (forall @t134 (= (tptp.c_Relation_OImage @t9 @t9 @t224 @t11) @t11))) % 15.84/16.20 (assume @p322 (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)))) % 15.84/16.20 (assume @p323 (forall (@list @t11 @t317 @t31 @t9 @t32) (= (tptp.c_Relation_OImage @t32 @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t306 @t31 @t317) @t11) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t421 (tptp.c_Relation_OImage @t32 @t9 @t317 @t11))))) % 15.84/16.20 (assume @p324 (forall (@list @t23 @t2 @t32 @t9) (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t2 @t23 @t388 @t23))) % 15.84/16.20 (assume @p325 (forall (@list @t85 @t81 @t32 @t9) (tptp.c_Nitpick_Ofold__graph_H @t9 @t32 @t81 @t85 @t388 @t85))) % 15.84/16.20 (assume @p326 (forall (@list @t41 @t52 @t32 @t11 @t54 @t9) (=> @t66 (=> @t129 (tptp.c_member @t32 @t52 @t422))))) % 15.84/16.20 (assume @p327 (forall @t425 (= @t424 (exists @t6 (and @t423 @t163))))) % 15.84/16.20 (assume @p328 (forall @t343 (=> @t426 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t342 @t342))))) % 15.84/16.20 (assume @p329 (forall @t116 (=> @t429 (= @t27 (or @t428 @t427))))) % 15.84/16.20 (assume @p330 (forall @t116 (=> @t429 (= @t430 (or @t427 @t26))))) % 15.84/16.20 (assume @p331 (forall @t349 (=> @t429 (or @t433 @t432 @t431)))) % 15.84/16.20 (assume @p332 (forall @t435 (=> @t429 (=> (not @t427) @t434)))) % 15.84/16.20 (assume @p333 (forall @t349 (=> @t429 (=> @t437 (=> @t436 @t431))))) % 15.84/16.20 (assume @p334 (forall @t349 (=> @t438 (=> @t433 @t437)))) % 15.84/16.20 (assume @p335 (forall @t349 (=> @t426 (=> @t433 (not @t431))))) % 15.84/16.20 (assume @p336 (forall @t349 (=> @t438 (=> @t433 (not (= @t346 @t342)))))) % 15.84/16.20 (assume @p337 (forall @t345 (=> @t426 (=> @t440 (not @t439))))) % 15.84/16.20 (assume @p338 (forall @t441 (=> @t438 (=> @t439 (not @t440))))) % 15.84/16.20 (assume @p339 (forall @t360 (=> @t444 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t59 @t351) @t442))))) % 15.84/16.20 (assume @p340 (forall @t360 (=> @t438 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t351 @t59) @t445))))) % 15.84/16.20 (assume @p341 (forall @t360 (=> @t444 (=> @t440 (=> @t446 @t442))))) % 15.84/16.20 (assume @p342 (forall @t353 (=> @t438 (=> @t439 (=> @t446 @t445))))) % 15.84/16.20 (assume @p343 (forall @t359 (=> @t426 (=> @t433 @t448)))) % 15.84/16.20 (assume @p344 (forall @t451 (=> @t438 (=> @t431 @t450)))) % 15.84/16.20 (assume @p345 (forall @t349 (=> @t429 (=> @t436 (=> @t437 @t431))))) % 15.84/16.20 (assume @p346 (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 @t138 @t311 @t41)))) % 15.84/16.20 (assume @p347 (forall @t228 (=> (tptp.c_Order__Relation_Opartial__order__on @t9 @t374 @t41) @t415))) % 15.84/16.20 (assume @p348 (forall @t456 (= (tptp.c_member @t407 @t455 @t454) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t453 @t452)))) % 15.84/16.20 (assume @p349 (forall @t228 (=> @t457 (=> @t414 (=> @t413 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t412 @t411) @t226)))))) % 15.84/16.20 (assume @p350 (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) @t96)) (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)) @t96))))))) % 15.84/16.20 (assume @p351 (forall @t343 (=> @t426 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t342)))) % 15.84/16.20 (assume @p352 (forall @t284 (=> @t463 (=> @t462 @t16)))) % 15.84/16.20 (assume @p353 (forall @t393 (=> @t463 @t281))) % 15.84/16.20 (assume @p354 (forall @t134 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t388 @t11))) % 15.84/16.20 (assume @p355 (forall @t116 (=> @t429 (= @t430 @t464)))) % 15.84/16.20 (assume @p356 (forall @t116 (=> @t429 (= (not @t465) @t427)))) % 15.84/16.20 (assume @p357 (forall @t349 (=> @t429 (or @t466 @t431)))) % 15.84/16.20 (assume @p358 (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))))))) % 15.84/16.20 (assume @p359 (forall @t116 (=> @t438 (= @t428 (and @t465 @t27))))) % 15.84/16.20 (assume @p360 (forall @t116 (=> @t426 (= @t428 (and @t465 (not @t464)))))) % 15.84/16.20 (assume @p361 (forall @t116 (=> @t438 (= @t465 (or @t428 @t26))))) % 15.84/16.20 (assume @p362 (forall @t349 (=> @t429 (=> @t436 @t471)))) % 15.84/16.20 (assume @p363 (forall @t472 (=> @t429 (=> (not @t471) @t433)))) % 15.84/16.20 (assume @p364 (forall @t116 (=> @t429 (=> @t430 @t473)))) % 15.84/16.20 (assume @p365 (forall @t345 (=> @t438 (=> @t475 (=> @t474 @t440))))) % 15.84/16.20 (assume @p366 (forall @t345 (=> @t438 (=> @t475 (=> @t476 @t439))))) % 15.84/16.20 (assume @p367 (forall @t472 (=> @t429 (=> @t471 @t436)))) % 15.84/16.20 (assume @p368 (forall @t349 (=> @t426 (=> @t433 @t466)))) % 15.84/16.20 (assume @p369 (forall @t116 (=> @t429 (=> @t465 @t434)))) % 15.84/16.20 (assume @p370 (forall @t349 (=> @t438 (=> @t466 (or @t433 @t432))))) % 15.84/16.20 (assume @p371 (forall @t345 (=> @t438 (=> @t474 (=> @t475 @t440))))) % 15.84/16.20 (assume @p372 (forall @t441 (=> @t438 (=> @t476 (=> @t475 @t439))))) % 15.84/16.20 (assume @p373 (forall @t359 (=> @t426 (=> @t433 (=> @t477 @t447))))) % 15.84/16.20 (assume @p374 (forall @t451 (=> @t438 (=> @t431 (=> @t478 @t449))))) % 15.84/16.20 (assume @p375 (forall @t359 (=> @t426 (=> @t466 @t448)))) % 15.84/16.20 (assume @p376 (forall @t451 (=> @t438 (=> @t471 @t450)))) % 15.84/16.20 (assume @p377 (forall @t294 (=> @t463 @t417))) % 15.84/16.20 (assume @p378 (forall @t294 (=> @t392 (=> @t479 @t416)))) % 15.84/16.20 (assume @p379 (forall @t284 (=> @t392 @t463))) % 15.84/16.20 (assume @p380 (forall @t284 (= @t463 (or @t392 @t16)))) % 15.84/16.20 (assume @p381 (forall @t284 (= @t392 (and @t463 (not @t16))))) % 15.84/16.20 (assume @p382 (forall @t134 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t388) @t394))) % 15.84/16.20 (assume @p383 (forall (@list @t7 @t9 @t11) (=> (= @t11 @t391) (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t11 @t7)))) % 15.84/16.20 (assume @p384 (forall @t343 (=> @t410 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t398 @t342)))) % 15.84/16.20 (assume @p385 (forall @t480 (=> @t331 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t145 @t41) (tptp.c_Wellfounded_Owf @t9 @t145))))) % 15.84/16.20 (assume @p386 (forall (@list @t11 @t481 @t41 @t482 @t32 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t309 @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))))) % 15.84/16.20 (assume @p387 (forall @t470 (=> @t469 (= @t468 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t32 @t5 @t4)))))) % 15.84/16.20 (assume @p388 (forall @t349 (=> @t429 (or @t466 @t471)))) % 15.84/16.20 (assume @p389 (forall @t116 (=> @t438 (= @t26 (and @t465 @t464))))) % 15.84/16.20 (assume @p390 (forall @t349 (=> @t426 (=> @t432 @t466)))) % 15.84/16.20 (assume @p391 (forall (@list @t19 @t1 @t2 @t9 @t32) (=> @t469 (=> @t468 (tptp.c_Orderings_Oord__class_Oless__eq @t32 @t92 @t323))))) % 15.84/16.20 (assume @p392 (forall @t435 (=> @t438 (=> @t464 @t473)))) % 15.84/16.20 (assume @p393 (forall @t360 (=> @t444 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t59 @t351) @t483))))) % 15.84/16.20 (assume @p394 (forall @t360 (=> @t438 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t351 @t59) @t484))))) % 15.84/16.20 (assume @p395 (forall @t360 (=> @t444 (=> @t474 (=> @t446 @t483))))) % 15.84/16.20 (assume @p396 (forall @t353 (=> @t438 (=> @t476 (=> @t446 @t484))))) % 15.84/16.20 (assume @p397 (forall @t349 (=> @t438 (=> @t466 (=> @t471 @t432))))) % 15.84/16.20 (assume @p398 (forall @t359 (=> @t426 (=> @t466 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t354)))))) % 15.84/16.20 (assume @p399 (forall @t472 (=> @t438 (=> @t471 (=> @t466 @t432))))) % 15.84/16.20 (assume @p400 (forall @t451 (=> @t438 (=> @t471 (=> @t478 @t485))))) % 15.84/16.20 (assume @p401 (forall @t349 (=> @t429 (=> (not @t466) @t471)))) % 15.84/16.20 (assume @p402 (forall @t268 (=> @t463 (=> @t64 @t71)))) % 15.84/16.20 (assume @p403 (forall @t314 (=> @t64 (=> @t463 @t71)))) % 15.84/16.20 (assume @p404 (forall @t380 (=> @t486 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t374 @t379)))) % 15.84/16.20 (assume @p405 (forall @t488 (=> @t487 (=> (tptp.c_Relation_Osingle__valued @t9 @t32 @t75) @t201)))) % 15.84/16.20 (assume @p406 (forall (@list @t342 @t59 @t61 @t9) (=> @t341 (=> @t491 (not (=> @t490 (not @t489))))))) % 15.84/16.20 (assume @p407 (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))))))) % 15.84/16.20 (assume @p408 (forall @t451 (=> @t341 (=> @t471 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t356 @t342)))))) % 15.84/16.20 (assume @p409 (forall (@list @t59 @t342 @t61 @t9) (=> @t341 (=> @t490 (=> @t489 @t491))))) % 15.84/16.20 (assume @p410 (forall @t472 (=> @t341 (=> @t471 (= @t347 @t342))))) % 15.84/16.20 (assume @p411 (forall @t349 (=> @t341 (=> @t466 (= @t347 @t346))))) % 15.84/16.20 (assume @p412 (forall @t378 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t59) @t493)))) % 15.84/16.20 (assume @p413 (forall @t377 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t342 @t61) @t493)))) % 15.84/16.20 (assume @p414 (forall @t495 (=> @t341 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t400 @t23) (and @t494 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t18 @t23)))))) % 15.84/16.20 (assume @p415 (forall @t116 (=> @t341 (= @t465 (= @t400 @t18))))) % 15.84/16.20 (assume @p416 (forall @t472 (=> @t341 @t496))) % 15.84/16.20 (assume @p417 (forall @t472 (=> @t324 @t496))) % 15.84/16.20 (assume @p418 (forall @t349 (=> @t341 @t497))) % 15.84/16.20 (assume @p419 (forall @t349 (=> @t324 @t497))) % 15.84/16.20 (assume @p420 (forall (@list @t54 @t498 @t291 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t291 @t498) (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Set_Oinsert @t9 @t54 @t291) (tptp.c_Set_Oinsert @t9 @t54 @t498))))) % 15.84/16.20 (assume @p421 (forall (@list @t52 @t7 @t11 @t9) (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t272)))) % 15.84/16.20 (assume @p422 (forall (@list @t54 @t7 @t9) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t289))) % 15.84/16.20 (assume @p423 (forall (@list @t498 @t7 @t291 @t11 @t9) (=> @t499 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t498) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t266 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t291 @t498)))))) % 15.84/16.20 (assume @p424 (forall (@list @t7 @t291 @t11 @t9) (=> @t499 (=> @t479 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t266 @t291))))) % 15.84/16.20 (assume @p425 (forall @t295 (=> @t462 (= @t266 @t11)))) % 15.84/16.20 (assume @p426 (forall @t284 (=> @t463 @t500))) % 15.84/16.20 (assume @p427 (forall @t284 (= @t463 @t500))) % 15.84/16.20 (assume @p428 (forall @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t7 @t266))) % 15.84/16.20 (assume @p429 (forall @t284 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t266))) % 15.84/16.20 (assume @p430 (forall @t294 (=> @t463 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t265 @t7 (tptp.c_Groups_Ominus__class_Ominus @t265 @t291 @t11)) @t11))))) % 15.84/16.20 (assume @p431 (forall (@list @t7 @t498 @t291 @t11 @t9) (=> @t499 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t498 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t279 (tptp.c_Groups_Ominus__class_Ominus @t265 @t291 @t498)))))) % 15.84/16.20 (assume @p432 (forall @t284 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t279 @t11))) % 15.84/16.20 (assume @p433 (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))))) % 15.84/16.20 (assume @p434 (forall (@list @t327 @t9 @t19 @t35) (=> @t40 (=> @t502 @t501)))) % 15.84/16.20 (assume @p435 (forall (@list @t19 @t327 @t35 @t9) (=> @t502 (=> @t40 @t501)))) % 15.84/16.20 (assume @p436 (forall @t134 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t11))) % 15.84/16.20 (assume @p437 (forall @t503 (= @t16 (and @t463 @t462)))) % 15.84/16.20 (assume @p438 (forall @t503 (=> @t16 @t463))) % 15.84/16.20 (assume @p439 (forall @t503 (=> @t16 @t462))) % 15.84/16.20 (assume @p440 (forall @t294 (=> @t463 (=> @t479 @t499)))) % 15.84/16.20 (assume @p441 (forall @t503 (=> @t16 (not (=> @t463 (not @t462)))))) % 15.84/16.20 (assume @p442 (forall @t488 (=> @t487 (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t172 (tptp.c_Relation_ODomain @t9 @t32 @t75))))) % 15.84/16.20 (assume @p443 (forall (@list @t41 @t75 @t9) (=> (tptp.c_Wellfounded_Oacyclic @t9 @t75) (=> @t486 @t256)))) % 15.84/16.20 (assume @p444 (forall @t380 (=> @t486 (=> (tptp.c_Relation_Oantisym @t9 @t75) @t227)))) % 15.84/16.20 (assume @p445 (forall @t380 (=> @t486 @t505))) % 15.84/16.20 (assume @p446 (forall @t321 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t31 @t317) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t317 @t170) (= @t319 @t170))))) % 15.84/16.20 (assume @p447 (forall @t380 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t41 @t504) @t505))) % 15.84/16.20 (assume @p448 (forall @t387 (=> @t386 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t54 @t52) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t384)))))) % 15.84/16.20 (assume @p449 (forall @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t285 @t7) (and @t71 @t463)))) % 15.84/16.20 (assume @p450 (forall @t314 (=> @t313 (= @t506 @t463)))) % 15.84/16.20 (assume @p451 (forall (@list @t19 @t11 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t408) (or @t394 (= @t11 @t408))))) % 15.84/16.20 (assume @p452 (forall @t294 (= (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t279 @t291) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 @t292)))) % 15.84/16.20 (assume @p453 (forall @t284 (=> @t463 (= @t287 @t7)))) % 15.84/16.20 (assume @p454 (forall (@list @t75 @t41 @t145 @t9) (=> @t243 (=> @t486 (tptp.c_member @t43 @t145 (tptp.c_Transitive__Closure_Otrancl @t9 @t75)))))) % 15.84/16.20 (assume @p455 (forall (@list @t507 @t41 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Relation_OImage @t9 @t9 @t41 @t507) @t507) (= (tptp.c_Relation_OImage @t9 @t9 @t125 @t507) @t507)))) % 15.84/16.20 (assume @p456 (forall @t321 (tptp.c_Orderings_Oord__class_Oless__eq @t260 @t320 @t318))) % 15.84/16.20 (assume @p457 (forall (@list @t11 @t31 @t9) (=> @t373 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t11 (tptp.c_Relation_OImage @t9 @t9 @t31 @t11)) @t394)))) % 15.84/16.20 (assume @p458 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Groups_Ominus__class_Ominus @t265 @t308 @t307) (tptp.c_Relation_ODomain @t9 @t32 (tptp.c_Groups_Ominus__class_Ominus @t309 @t11 @t7))))) % 15.84/16.20 (assume @p459 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t265 (tptp.c_Groups_Ominus__class_Ominus @t265 @t305 @t304) (tptp.c_Relation_ORange @t32 @t9 (tptp.c_Groups_Ominus__class_Ominus @t306 @t11 @t7))))) % 15.84/16.20 (assume @p460 (= tptp.c_Wellfounded_Oless__than @t454)) % 15.84/16.20 (assume @p461 (forall @t510 (= @t506 (and (=> @t64 @t509) @t508)))) % 15.84/16.20 (assume @p462 (forall @t510 (=> @t509 (=> @t64 @t506)))) % 15.84/16.20 (assume @p463 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 15.84/16.20 (assume @p464 (forall @t510 (= (tptp.c_Orderings_Oord__class_Oless @t265 @t11 @t312) (and (=> @t71 @t392) (=> @t301 (and (=> @t64 (tptp.c_Orderings_Oord__class_Oless @t265 @t409 @t7)) @t508)))))) % 15.84/16.20 (assume @p465 (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 (=> @t122 (exists @t214 (and (tptp.c_member @t9 @t212 @t7) @t213)))))))))) % 15.84/16.20 (assume @p466 (forall @t425 (=> @t424 (not (forall @t6 (=> @t163 (not @t423))))))) % 15.84/16.20 (assume @p467 (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)))) % 15.84/16.20 (assume @p468 (forall @t480 (=> (tptp.c_Wellfounded_OwfP @t9 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t9 @t265) @t145 @t41) (tptp.c_Wellfounded_OwfP @t9 @t145))))) % 15.84/16.20 (assume @p469 (forall @t383 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t92 @t217) (=> (tptp.c_member @t43 @t132 @t31) @t382)))) % 15.84/16.20 (assume @p470 (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)))) % 15.84/16.20 (assume @p471 (forall @t338 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t260 @t148 @t125) @t391) (not (tptp.c_member @t43 (tptp.c_Product__Type_OPair @t9 @t9 @t19 @t19) @t222))))) % 15.84/16.20 (assume @p472 (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))))) % 15.84/16.20 (assume @p473 (forall (@list @t9 @t7 @t19 @t11) (=> @t63 (=> @t264 @t512)))) % 15.84/16.20 (assume @p474 (forall @t268 (=> @t512 (not (=> @t63 @t269))))) % 15.84/16.20 (assume @p475 (forall @t277 (=> @t12 (=> @t10 @t513)))) % 15.84/16.20 (assume @p476 (forall @t277 (=> @t513 (not @t15)))) % 15.84/16.20 (assume @p477 (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)))) % 15.84/16.20 (assume @p478 (forall @t294 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t265 @t511 @t291) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t265 @t11 @t292)) (tptp.c_Orderings_Oord__class_Oless__eq @t265 @t291 @t11)))) % 15.84/16.20 (assume @p479 (forall @t359 (=> @t324 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t9 @t514 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t342 @t354)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t342 @t356))))) % 15.84/16.20 (assume @p480 (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))))) % 15.84/16.20 (assume @p481 (forall @t349 (=> @t324 @t515))) % 15.84/16.20 (assume @p482 (forall @t349 (=> @t516 @t515))) % 15.84/16.20 (assume @p483 (forall @t349 (=> @t324 @t517))) % 15.84/16.20 (assume @p484 (forall @t349 (=> @t516 @t517))) % 15.84/16.20 (assume @p485 (forall @t116 (=> @t516 (= @t465 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t19 @t18) @t19))))) % 15.84/16.20 (assume @p486 (forall @t495 (=> @t516 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t9 @t18 @t23)) (and @t465 @t494))))) % 15.84/16.20 (assume @p487 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p488 (forall @t522 (=> @t521 (tptp.class_Lattices_Obounded__lattice @t520)))) % 15.84/16.20 (assume @p489 (forall @t522 (=> @t521 (tptp.class_Lattices_Obounded__lattice__bot @t520)))) % 15.84/16.20 (assume @p490 (forall @t522 (=> @t523 (tptp.class_Lattices_Osemilattice__sup @t520)))) % 15.84/16.20 (assume @p491 (forall @t522 (=> @t523 (tptp.class_Lattices_Osemilattice__inf @t520)))) % 15.84/16.20 (assume @p492 (forall @t522 (=> (tptp.class_Orderings_Opreorder @t518) (tptp.class_Orderings_Opreorder @t520)))) % 15.84/16.20 (assume @p493 (forall @t522 (=> @t523 (tptp.class_Lattices_Olattice @t520)))) % 15.84/16.20 (assume @p494 (forall @t522 (=> (tptp.class_Orderings_Oorder @t518) (tptp.class_Orderings_Oorder @t520)))) % 15.84/16.20 (assume @p495 (forall @t522 (=> (tptp.class_Orderings_Oord @t518) (tptp.class_Orderings_Oord @t520)))) % 15.84/16.20 (assume @p496 (forall @t522 (=> (tptp.class_Orderings_Obot @t518) (tptp.class_Orderings_Obot @t520)))) % 15.84/16.20 (assume @p497 (forall @t522 (=> (tptp.class_Groups_Ominus @t518) (tptp.class_Groups_Ominus @t520)))) % 15.84/16.20 (assume @p498 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p499 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p500 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p501 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p502 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p503 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p504 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p505 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p506 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 15.84/16.20 (assume @p507 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p508 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p509 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p510 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p511 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p512 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p513 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p514 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p515 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 15.84/16.20 (assume @p516 (forall @t528 (or (not @t527) @t526))) % 15.84/16.20 (assume @p517 (forall @t528 (or (not @t526) @t527))) % 15.84/16.20 (assume @p518 (not (= tptp.v_x tptp.v_y))) % 15.84/16.20 (assume @p519 (and @t538 (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))) @t533)) % 15.84/16.20 (assume @p520 @t576) % 15.84/16.20 (assume @p521 true) % 15.84/16.20 (step @p522 :rule bool-double-not-elim :args (@t586)) % 15.84/16.20 (step @p523 :rule refl :args (@t592)) % 15.84/16.20 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t592 (not @t591)))) % 15.84/16.20 (step @p525 :rule cnf_or_neg :args (@t592 0)) % 15.84/16.20 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 15.84/16.20 (step @p527 :rule reordering :premises (@p526) :args ((or @t586 @t592))) % 15.84/16.20 (step @p528 :rule bool-double-not-elim :args (@t589)) % 15.84/16.20 (step @p529 :rule nary_cong :premises (@p523 @p528) :args ((or @t592 (not @t590)))) % 15.84/16.20 (step @p530 :rule cnf_or_neg :args (@t592 2)) % 15.84/16.20 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 15.84/16.20 (step @p532 :rule reordering :premises (@p531) :args ((or @t589 @t592))) % 15.84/16.20 (step @p533 :rule cnf_or_neg :args (@t592 4)) % 15.84/16.20 (step @p534 :rule aci_norm :args ((= @t598 (or @t596 @t595 @t594)))) % 15.84/16.20 (step @p535 :rule cong :premises (@p534) :args (@t599)) % 15.84/16.20 (step @p536 :rule quant-merge-prenex :args ((= (forall @t169 @t601) @t599))) % 15.84/16.20 (step @p537 :rule alpha_equiv :args (@t602 (@list @t593) @t603)) % 15.84/16.20 (step @p538 :rule refl :args (@t596)) % 15.84/16.20 (step @p539 :rule nary_cong :premises (@p538 @p537) :args (@t604)) % 15.84/16.20 (step @p540 :rule quant-miniscope-or :args ((= @t601 @t604))) % 15.84/16.20 (step @p541 :rule trans :premises (@p540 @p539)) % 15.84/16.20 (step @p542 :rule symm :premises (@p541)) % 15.84/16.20 (step @p543 :rule cong :premises (@p542) :args ((forall @t169 (or @t596 @t606)))) % 15.84/16.20 (step @p544 :rule trans :premises (@p543 @p536)) % 15.84/16.20 (step @p545 :rule trans :premises (@p544 @p535)) % 15.84/16.20 (step @p546 :rule bool-impl-elim :args (@t530 @t606)) % 15.84/16.20 (step @p547 :rule cong :premises (@p546) :args ((forall @t169 (=> @t530 @t606)))) % 15.84/16.20 (step @p548 :rule trans :premises (@p547 @p545)) % 15.84/16.20 (step @p549 :rule bool-impl-elim :args (@t535 @t534)) % 15.84/16.20 (step @p550 :rule cong :premises (@p549) :args (@t536)) % 15.84/16.20 (step @p551 :rule refl :args (@t530)) % 15.84/16.20 (step @p552 :rule cong :premises (@p551 @p550) :args (@t537)) % 15.84/16.20 (step @p553 :rule cong :premises (@p552) :args (@t538)) % 15.84/16.20 (step @p554 :rule trans :premises (@p553 @p548)) % 15.84/16.20 (step @p555 :rule and_elim :premises (@p519) :args (0)) % 15.84/16.20 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 15.84/16.20 (step @p557 :rule instantiate :premises (@p556) :args ((@list @t585 tptp.v_y @t587))) % 15.84/16.20 (step @p558 :rule cnf_or_pos :args (@t607)) % 15.84/16.20 (step @p559 :rule reordering :premises (@p558) :args ((or @t591 @t590 @t588 (not @t607)))) % 15.84/16.20 (step @p560 :rule chain_m_resolution :premises (@p559 @p557 @p533 @p532 @p527) :args (@t592 (@list false true false false) (@list @t607 @t588 @t589 @t586))) % 15.84/16.20 (step @p561 :rule refl :args (@t608)) % 15.84/16.20 (step @p562 :rule bool-double-not-elim :args (@t584)) % 15.84/16.20 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t609) @t608))) % 15.84/16.20 (assume-push @p1108 @t609) % 15.84/16.20 (step @p565 :rule skolemize :premises (@p1108)) % 15.84/16.20 (step-pop @p1109 :rule scope :premises (@p565)) % 15.84/16.20 (step @p566 :rule process_scope :premises (@p1109) :args (@t608)) % 15.84/16.20 (step @p568 :rule implies_elim :premises (@p566)) % 15.84/16.20 (step @p569 :rule eq_resolve :premises (@p568 @p563)) % 15.84/16.20 (step @p570 :rule chain_m_resolution :premises (@p569 @p560) :args (@t584 @t610 (@list @t592))) % 15.84/16.20 (step @p571 :rule bool-double-not-elim :args (@t624)) % 15.84/16.20 (step @p572 :rule refl :args (@t636)) % 15.84/16.20 (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or @t636 (not @t635)))) % 15.84/16.20 (step @p574 :rule cnf_or_neg :args (@t636 0)) % 15.84/16.20 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 15.84/16.20 (step @p576 :rule reordering :premises (@p575) :args ((or @t624 @t636))) % 15.84/16.20 (step @p577 :rule cnf_or_neg :args (@t636 3)) % 15.84/16.20 (step @p578 :rule bool-double-not-elim :args (@t626)) % 15.84/16.20 (step @p579 :rule refl :args (@t628)) % 15.84/16.20 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or @t628 (not @t627)))) % 15.84/16.20 (step @p581 :rule cnf_or_neg :args (@t628 0)) % 15.84/16.20 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 15.84/16.20 (step @p583 :rule reordering :premises (@p582) :args ((or @t626 @t628))) % 15.84/16.20 (step @p584 :rule cnf_or_neg :args (@t628 1)) % 15.84/16.20 (step @p585 :rule instantiate :premises (@p556) :args ((@list @t623 @t622 tptp.v_y))) % 15.84/16.20 (step @p586 :rule cnf_or_pos :args (@t637)) % 15.84/16.20 (step @p587 :rule reordering :premises (@p586) :args ((or @t635 @t627 @t625 (not @t637)))) % 15.84/16.20 (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p584 @p583) :args ((or @t635 @t628) @t638 (@list @t637 @t625 @t626))) % 15.84/16.20 (step @p589 :rule cnf_and_neg :args (@t634)) % 15.84/16.20 (step @p590 :rule bool-double-not-elim :args (@t631)) % 15.84/16.20 (step @p591 :rule refl :args (@t633)) % 15.84/16.20 (step @p592 :rule nary_cong :premises (@p591 @p590) :args ((or @t633 (not @t632)))) % 15.84/16.20 (step @p593 :rule cnf_or_neg :args (@t633 0)) % 15.84/16.20 (step @p594 :rule eq_resolve :premises (@p593 @p592)) % 15.84/16.20 (step @p595 :rule reordering :premises (@p594) :args ((or @t631 @t633))) % 15.84/16.20 (step @p596 :rule cnf_or_neg :args (@t633 2)) % 15.84/16.20 (step @p597 :rule instantiate :premises (@p556) :args ((@list @t623 @t622 @t629))) % 15.84/16.20 (step @p598 :rule cnf_or_pos :args (@t639)) % 15.84/16.20 (step @p599 :rule reordering :premises (@p598) :args ((or @t635 @t632 @t630 (not @t639)))) % 15.84/16.20 (step @p600 :rule chain_m_resolution :premises (@p599 @p597 @p596 @p595 @p589 @p588 @p577 @p576) :args (@t636 (@list false true false true false true false) (@list @t639 @t630 @t631 @t633 @t628 @t634 @t624))) % 15.84/16.20 (step @p601 :rule refl :args (@t640)) % 15.84/16.20 (step @p602 :rule bool-double-not-elim :args (@t621)) % 15.84/16.20 (step @p603 :rule nary_cong :premises (@p602 @p601) :args ((or (not @t641) @t640))) % 15.84/16.20 (assume-push @p1110 @t641) % 15.84/16.20 (step @p605 :rule skolemize :premises (@p1110)) % 15.84/16.20 (step-pop @p1111 :rule scope :premises (@p605)) % 15.84/16.20 (step @p606 :rule process_scope :premises (@p1111) :args (@t640)) % 15.84/16.20 (step @p608 :rule implies_elim :premises (@p606)) % 15.84/16.20 (step @p609 :rule eq_resolve :premises (@p608 @p603)) % 15.84/16.20 (step @p610 :rule chain_m_resolution :premises (@p609 @p600) :args (@t621 @t610 (@list @t636))) % 15.84/16.20 (step @p611 :rule cnf_or_neg :args (@t667 0)) % 15.84/16.20 (step @p612 :rule cnf_or_neg :args (@t667 1)) % 15.84/16.20 (step @p613 :rule cnf_or_neg :args (@t667 2)) % 15.84/16.20 (step @p614 :rule cnf_or_neg :args (@t667 3)) % 15.84/16.20 (step @p615 :rule cnf_or_neg :args (@t667 4)) % 15.84/16.20 (step @p616 :rule cnf_or_neg :args (@t667 5)) % 15.84/16.20 (step @p617 :rule cnf_or_neg :args (@t667 6)) % 15.84/16.20 (step @p618 :rule cnf_or_neg :args (@t667 7)) % 15.84/16.20 (step @p619 :rule cnf_or_neg :args (@t667 8)) % 15.84/16.20 (step @p620 :rule bool-double-not-elim :args (@t645)) % 15.84/16.20 (step @p621 :rule refl :args (@t668)) % 15.84/16.20 (step @p622 :rule refl :args (@t651)) % 15.84/16.20 (step @p623 :rule refl :args (@t661)) % 15.84/16.20 (step @p624 :rule nary_cong :premises (@p623 @p622 @p621 @p620) :args ((or @t661 @t651 @t668 @t669))) % 15.84/16.20 (step @p625 :rule cnf_and_neg :args (@t661)) % 15.84/16.20 (step @p626 :rule eq_resolve :premises (@p625 @p624)) % 15.84/16.20 (step @p627 :rule reordering :premises (@p626) :args ((or @t645 @t651 @t661 @t668))) % 15.84/16.20 (step @p628 :rule cnf_and_neg :args (@t657)) % 15.84/16.20 (step @p629 :rule reordering :premises (@p628) :args ((or @t651 @t657 (not @t656)))) % 15.84/16.20 (step @p630 :rule refl :args (@t670)) % 15.84/16.20 (step @p631 :rule refl :args (@t650)) % 15.84/16.20 (step @p632 :rule nary_cong :premises (@p631 @p622 @p630 @p620) :args ((or @t650 @t651 @t670 @t669))) % 15.84/16.20 (step @p633 :rule cnf_and_neg :args (@t650)) % 15.84/16.20 (step @p634 :rule eq_resolve :premises (@p633 @p632)) % 15.84/16.20 (step @p635 :rule reordering :premises (@p634) :args ((or @t645 @t651 @t650 @t670))) % 15.84/16.20 (step @p636 :rule aci_norm :args ((= (or @t229 @t531) @t671))) % 15.84/16.20 (step @p637 :rule refl :args (@t531)) % 15.84/16.20 (step @p638 :rule bool-double-not-elim :args (@t229)) % 15.84/16.20 (step @p639 :rule nary_cong :premises (@p638 @p637) :args ((or @t672 @t531))) % 15.84/16.20 (step @p640 :rule bool-impl-elim :args (@t532 @t531)) % 15.84/16.20 (step @p641 :rule trans :premises (@p640 @p639)) % 15.84/16.20 (step @p642 :rule trans :premises (@p641 @p636)) % 15.84/16.20 (step @p643 :rule cong :premises (@p642) :args (@t533)) % 15.84/16.20 (step @p644 :rule and_elim :premises (@p519) :args (2)) % 15.84/16.20 (step @p645 :rule eq_resolve :premises (@p644 @p643)) % 15.84/16.20 (step @p646 :rule refl :args (@t647)) % 15.84/16.20 (step @p647 :rule refl :args (@t660)) % 15.84/16.20 (step @p648 :rule eq-symm :args (@t644 tptp.v_y)) % 15.84/16.20 (step @p649 :rule nary_cong :premises (@p648 @p647 @p646) :args (@t674)) % 15.84/16.20 (step @p650 :rule refl :args (@t675)) % 15.84/16.20 (step @p651 :rule cong :premises (@p650 @p649) :args ((=> @t675 @t674))) % 15.84/16.20 (assume-push @p1112 @t675) % 15.84/16.20 (step @p653 :rule instantiate :premises (@p645) :args ((@list @t644 tptp.v_y))) % 15.84/16.20 (step-pop @p1113 :rule scope :premises (@p653)) % 15.84/16.20 (step @p654 :rule process_scope :premises (@p1113) :args (@t674)) % 15.84/16.20 (step @p656 :rule eq_resolve :premises (@p654 @p651)) % 15.84/16.20 (step @p657 :rule implies_elim :premises (@p656)) % 15.84/16.20 (step @p658 :rule chain_m_resolution :premises (@p657 @p645) :args (@t676 @t610 (@list @t675))) % 15.84/16.20 (step @p659 :rule cnf_or_pos :args (@t676)) % 15.84/16.20 (step @p660 :rule reordering :premises (@p659) :args ((or @t660 @t647 @t656 (not @t676)))) % 15.84/16.20 (step @p661 :rule chain_m_resolution :premises (@p660 @p658 @p635 @p629 @p627) :args ((or @t645 @t651 @t661 @t657 @t650) @t677 (@list @t676 @t647 @t656 @t660))) % 15.84/16.20 (step @p662 :rule bool-double-not-elim :args (@t649)) % 15.84/16.20 (step @p663 :rule refl :args (@t678)) % 15.84/16.20 (step @p664 :rule refl :args (@t655)) % 15.84/16.20 (step @p665 :rule nary_cong :premises (@p664 @p663 @p662 @p620) :args ((or @t655 @t678 @t679 @t669))) % 15.84/16.20 (step @p666 :rule cnf_and_neg :args (@t655)) % 15.84/16.20 (step @p667 :rule eq_resolve :premises (@p666 @p665)) % 15.84/16.20 (step @p668 :rule reordering :premises (@p667) :args ((or @t645 @t649 @t655 @t678))) % 15.84/16.20 (step @p669 :rule refl :args (@t680)) % 15.84/16.20 (step @p670 :rule refl :args (@t663)) % 15.84/16.20 (step @p671 :rule nary_cong :premises (@p670 @p669 @p620 @p662) :args ((or @t663 @t680 @t669 @t679))) % 15.84/16.20 (step @p672 :rule cnf_and_neg :args (@t663)) % 15.84/16.20 (step @p673 :rule eq_resolve :premises (@p672 @p671)) % 15.84/16.20 (step @p674 :rule reordering :premises (@p673) :args ((or @t645 @t649 @t663 @t680))) % 15.84/16.20 (step @p675 :rule instantiate :premises (@p645) :args ((@list @t644 @t648))) % 15.84/16.20 (step @p676 :rule cnf_or_pos :args (@t681)) % 15.84/16.20 (step @p677 :rule reordering :premises (@p676) :args ((or @t666 @t662 @t654 (not @t681)))) % 15.84/16.20 (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p674 @p668 @p661) :args ((or @t666 @t645 @t663 @t661 @t657 @t655 @t650) @t677 (@list @t681 @t662 @t654 @t649))) % 15.84/16.20 (step @p679 :rule cnf_and_neg :args (@t665)) % 15.84/16.20 (step @p680 :rule bool-double-not-elim :args (@t666)) % 15.84/16.20 (step @p681 :rule refl :args (@t646)) % 15.84/16.20 (step @p682 :rule nary_cong :premises (@p681 @p680 @p622) :args ((or @t646 (not @t682) @t651))) % 15.84/16.20 (assume-push @p1114 @t645) % 15.84/16.20 (assume-push @p1115 @t682) % 15.84/16.20 (assume-push @p1116 @t682) % 15.84/16.20 (assume-push @p1117 @t645) % 15.84/16.20 (step @p687 :rule false_intro :premises (@p1115)) % 15.84/16.20 (step @p688 :rule refl :args (@t648)) % 15.84/16.20 (step @p689 :rule cong :premises (@p1114 @p688) :args (@t649)) % 15.84/16.20 (step @p690 :rule trans :premises (@p689 @p687)) % 15.84/16.20 (step @p691 :rule false_elim :premises (@p690)) % 15.84/16.20 (step-pop @p1118 :rule scope :premises (@p691)) % 15.84/16.20 (step-pop @p1119 :rule scope :premises (@p1118)) % 15.84/16.20 (step @p692 :rule process_scope :premises (@p1119) :args (@t651)) % 15.84/16.20 (step @p695 :rule and_intro :premises (@p1115 @p1114)) % 15.84/16.20 (step @p696 :rule modus_ponens :premises (@p695 @p692)) % 15.84/16.20 (step-pop @p1120 :rule scope :premises (@p696)) % 15.84/16.20 (step-pop @p1121 :rule scope :premises (@p1120)) % 15.84/16.20 (step @p697 :rule process_scope :premises (@p1121) :args (@t651)) % 15.84/16.20 (step @p700 :rule implies_elim :premises (@p697)) % 15.84/16.20 (step @p701 :rule cnf_and_neg :args (@t683)) % 15.84/16.20 (step @p702 :rule resolution :premises (@p701 @p700) :args (true @t683)) % 15.84/16.20 (step @p703 :rule eq_resolve :premises (@p702 @p682)) % 15.84/16.20 (step @p704 :rule reordering :premises (@p703) :args ((or @t666 @t646 @t651))) % 15.84/16.20 (step @p705 :rule refl :args (@t684)) % 15.84/16.20 (step @p706 :rule refl :args (@t659)) % 15.84/16.20 (step @p707 :rule nary_cong :premises (@p706 @p681 @p705 @p662) :args ((or @t659 @t646 @t684 @t679))) % 15.84/16.20 (step @p708 :rule cnf_and_neg :args (@t659)) % 15.84/16.20 (step @p709 :rule eq_resolve :premises (@p708 @p707)) % 15.84/16.20 (step @p710 :rule reordering :premises (@p709) :args ((or @t646 @t649 @t659 @t684))) % 15.84/16.20 (step @p711 :rule refl :args (@t685)) % 15.84/16.20 (step @p712 :rule refl :args (@t653)) % 15.84/16.20 (step @p713 :rule nary_cong :premises (@p712 @p681 @p711 @p662) :args ((or @t653 @t646 @t685 @t679))) % 15.84/16.20 (step @p714 :rule cnf_and_neg :args (@t653)) % 15.84/16.20 (step @p715 :rule eq_resolve :premises (@p714 @p713)) % 15.84/16.20 (step @p716 :rule reordering :premises (@p715) :args ((or @t646 @t649 @t653 @t685))) % 15.84/16.20 (step @p717 :rule instantiate :premises (@p645) :args ((@list tptp.v_y @t648))) % 15.84/16.20 (step @p718 :rule cnf_or_pos :args (@t686)) % 15.84/16.20 (step @p719 :rule reordering :premises (@p718) :args ((or @t658 @t652 @t664 (not @t686)))) % 15.84/16.20 (step @p720 :rule chain_m_resolution :premises (@p719 @p717 @p716 @p710 @p704 @p679 @p678 @p619 @p618 @p617 @p616 @p615 @p614 @p613 @p612 @p611) :args (@t667 (@list false true true true true false true true true true true true true true true) (@list @t686 @t652 @t658 @t649 @t664 @t645 @t650 @t653 @t655 @t657 @t659 @t661 @t663 @t665 @t666))) % 15.84/16.20 (step @p721 :rule refl :args (@t687)) % 15.84/16.20 (step @p722 :rule bool-double-not-elim :args (@t643)) % 15.84/16.20 (step @p723 :rule nary_cong :premises (@p722 @p721) :args ((or (not @t688) @t687))) % 15.84/16.20 (step @p724 :rule eq-symm :args (@t644 tptp.v_x)) % 15.84/16.20 (step @p725 :rule cong :premises (@p724) :args (@t690)) % 15.84/16.20 (step @p726 :rule eq-symm :args (@t648 tptp.v_x)) % 15.84/16.20 (step @p727 :rule nary_cong :premises (@p726 @p646 @p725) :args (@t692)) % 15.84/16.20 (step @p728 :rule cong :premises (@p726) :args (@t693)) % 15.84/16.20 (step @p729 :rule refl :args (@t652)) % 15.84/16.20 (step @p730 :rule nary_cong :premises (@p724 @p729 @p728) :args (@t694)) % 15.84/16.20 (step @p731 :rule refl :args (@t654)) % 15.84/16.20 (step @p732 :rule nary_cong :premises (@p731 @p728 @p725) :args (@t695)) % 15.84/16.20 (step @p733 :rule nary_cong :premises (@p726 @p648) :args (@t696)) % 15.84/16.20 (step @p734 :rule refl :args (@t658)) % 15.84/16.20 (step @p735 :rule nary_cong :premises (@p724 @p734 @p728) :args (@t697)) % 15.84/16.20 (step @p736 :rule nary_cong :premises (@p726 @p647 @p725) :args (@t698)) % 15.84/16.20 (step @p737 :rule refl :args (@t662)) % 15.84/16.20 (step @p738 :rule nary_cong :premises (@p737 @p725 @p728) :args (@t699)) % 15.84/16.20 (step @p739 :rule eq-symm :args (@t648 tptp.v_y)) % 15.84/16.20 (step @p740 :rule nary_cong :premises (@p724 @p739) :args (@t700)) % 15.84/16.20 (step @p741 :rule refl :args (@t666)) % 15.84/16.20 (step @p742 :rule nary_cong :premises (@p741 @p740 @p738 @p736 @p735 @p733 @p732 @p730 @p727) :args (@t701)) % 15.84/16.20 (step @p743 :rule cong :premises (@p742) :args (@t702)) % 15.84/16.20 (step @p744 :rule refl :args (@t688)) % 15.84/16.20 (step @p745 :rule cong :premises (@p744 @p743) :args ((=> @t688 @t702))) % 15.84/16.20 (assume-push @p1122 @t688) % 15.84/16.20 (step @p747 :rule skolemize :premises (@p1122)) % 15.84/16.20 (step-pop @p1123 :rule scope :premises (@p747)) % 15.84/16.20 (step @p748 :rule process_scope :premises (@p1123) :args (@t702)) % 15.84/16.20 (step @p750 :rule eq_resolve :premises (@p748 @p745)) % 15.84/16.20 (step @p751 :rule implies_elim :premises (@p750)) % 15.84/16.20 (step @p752 :rule eq_resolve :premises (@p751 @p723)) % 15.84/16.20 (step @p753 :rule chain_m_resolution :premises (@p752 @p720) :args (@t643 @t610 (@list @t667))) % 15.84/16.20 (step @p754 :rule aci_norm :args ((= (and (and @t621 @t584 @t711) @t643) (and @t643 @t621 @t584 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:premises (@p949 @p947)) % 15.84/16.20 (step @p951 :rule trans :premises (@p950 @p946)) % 15.84/16.20 (step @p952 :rule eq-symm :args (@t809 tptp.v_x)) % 15.84/16.20 (step @p953 :rule cong :premises (@p952) :args (@t811)) % 15.84/16.20 (step @p954 :rule nary_cong :premises (@p953 @p944) :args (@t818)) % 15.84/16.20 (step @p955 :rule cong :premises (@p954) :args (@t819)) % 15.84/16.20 (step @p956 :rule trans :premises (@p955 @p951)) % 15.84/16.20 (step @p957 :rule refl :args (@t722)) % 15.84/16.20 (step @p958 :rule eq-symm :args (@t717 tptp.v_y)) % 15.84/16.20 (step @p959 :rule eq-symm :args (@t717 tptp.v_x)) % 15.84/16.20 (step @p960 :rule refl :args (@t785)) % 15.84/16.20 (step @p961 :rule nary_cong :premises (@p960 @p959 @p958 @p957) :args (@t820)) % 15.84/16.20 (step @p962 :rule cong :premises (@p961) :args (@t821)) % 15.84/16.20 (step @p963 :rule nary_cong :premises (@p962 @p956) :args ((and @t821 @t819))) % 15.84/16.20 (step @p964 :rule alpha_equiv :args (@t823 @t603 (@list @t809))) % 15.84/16.20 (step @p965 :rule alpha_equiv :args (@t825 @t603 @t718)) % 15.84/16.20 (step @p966 :rule nary_cong :premises (@p965 @p964) :args (@t826)) % 15.84/16.20 (step @p967 :rule quant-miniscope-and :args ((= (forall @t82 (and @t824 @t822)) @t826))) % 15.84/16.20 (step @p968 :rule trans :premises (@p967 @p966)) % 15.84/16.20 (step @p969 :rule trans :premises (@p968 @p963)) % 15.84/16.20 (step @p970 :rule bool-impl-elim :args (@t557 @t556)) % 15.84/16.20 (step @p971 :rule aci_norm :args ((= (or @t827 @t560) @t824))) % 15.84/16.20 (step @p972 :rule refl :args (@t560)) % 15.84/16.20 (step @p973 :rule bool-double-not-elim :args (@t557)) % 15.84/16.20 (step @p974 :rule refl :args (@t605)) % 15.84/16.20 (step @p975 :rule nary_cong :premises (@p974 @p973) :args ((or @t605 @t828))) % 15.84/16.20 (step @p976 :rule bool-and-de-morgan :args (@t535 @t561 true)) % 15.84/16.20 (step @p977 :rule trans :premises (@p976 @p975)) % 15.84/16.20 (step @p978 :rule nary_cong :premises (@p977 @p972) :args ((or @t829 @t560))) % 15.84/16.20 (step @p979 :rule trans :premises (@p978 @p971)) % 15.84/16.20 (step @p980 :rule bool-impl-elim :args (@t562 @t560)) % 15.84/16.20 (step @p981 :rule trans :premises (@p980 @p979)) % 15.84/16.20 (step @p982 :rule nary_cong :premises (@p981 @p970) :args (@t563)) % 15.84/16.20 (step @p983 :rule cong :premises (@p982) :args (@t564)) % 15.84/16.20 (step @p984 :rule trans :premises (@p983 @p969)) % 15.84/16.20 (step @p985 :rule refl :args (@t549)) % 15.84/16.20 (step @p986 :rule cong :premises (@p985 @p984) :args (@t565)) % 15.84/16.20 (step @p987 :rule aci_norm :args ((= (or (or @t752 @t557) @t534) @t791))) % 15.84/16.20 (step @p988 :rule refl :args (@t534)) % 15.84/16.20 (step @p989 :rule refl :args (@t752)) % 15.84/16.20 (step @p990 :rule nary_cong :premises (@p989 @p973) :args ((or @t752 @t828))) % 15.84/16.20 (step @p991 :rule bool-and-de-morgan :args (@t558 @t561 true)) % 15.84/16.20 (step @p992 :rule trans :premises (@p991 @p990)) % 15.84/16.20 (step @p993 :rule nary_cong :premises (@p992 @p988) :args ((or (not @t566) @t534))) % 15.84/16.20 (step @p994 :rule trans :premises (@p993 @p987)) % 15.84/16.20 (step @p995 :rule bool-impl-elim :args (@t566 @t534)) % 15.84/16.20 (step @p996 :rule trans :premises (@p995 @p994)) % 15.84/16.20 (step @p997 :rule cong :premises (@p996) :args (@t567)) % 15.84/16.20 (step @p998 :rule refl :args (@t551)) % 15.84/16.20 (step @p999 :rule cong :premises (@p998 @p997) :args (@t568)) % 15.84/16.20 (step @p1000 :rule aci_norm :args ((= (or @t556 @t550 false) @t796))) % 15.84/16.20 (step @p1001 :rule quant-var-elim-eq :args ((= (forall @t833 (or @t832 @t831)) @t729))) % 15.84/16.20 (step @p1002 :rule refl :args (@t831)) % 15.84/16.20 (step @p1003 :rule eq-symm :args (tptp.v_x @t830)) % 15.84/16.20 (step @p1004 :rule cong :premises (@p1003) :args (@t831)) % 15.84/16.20 (step @p1005 :rule nary_cong :premises (@p1004 @p1002) :args (@t834)) % 15.84/16.20 (step @p1006 :rule aci_norm :args ((= @t831 @t834))) % 15.84/16.20 (step @p1007 :rule trans :premises (@p1006 @p1005)) % 15.84/16.20 (step @p1008 :rule cong :premises (@p1007) :args (@t835)) % 15.84/16.20 (step @p1009 :rule trans :premises (@p1008 @p1001)) % 15.84/16.20 (step @p1010 :rule trans :premises (@p1009 @p780)) % 15.84/16.20 (step @p1011 :rule refl :args (@t550)) % 15.84/16.20 (step @p1012 :rule nary_cong :premises (@p944 @p1011 @p1010) :args (@t836)) % 15.84/16.20 (step @p1013 :rule trans :premises (@p1012 @p1000)) % 15.84/16.20 (step @p1014 :rule quant-miniscope-or :args ((= (forall @t833 @t837) @t836))) % 15.84/16.20 (step @p1015 :rule aci_norm :args ((= @t838 @t837))) % 15.84/16.20 (step @p1016 :rule cong :premises (@p1015) :args ((forall @t833 @t838))) % 15.84/16.20 (step @p1017 :rule trans :premises (@p1016 @p1014)) % 15.84/16.20 (step @p1018 :rule trans :premises (@p1017 @p1013)) % 15.84/16.20 (step @p1019 :rule eq-symm :args (@t830 tptp.v_x)) % 15.84/16.20 (step @p1020 :rule cong :premises (@p1019) :args (@t832)) % 15.84/16.20 (step @p1021 :rule nary_cong :premises (@p1020 @p944 @p1011) :args (@t839)) % 15.84/16.20 (step @p1022 :rule cong :premises (@p1021) :args (@t840)) % 15.84/16.20 (step @p1023 :rule trans :premises (@p1022 @p1018)) % 15.84/16.20 (step @p1024 :rule refl :args (@t797)) % 15.84/16.20 (step @p1025 :rule eq-symm :args (@t775 tptp.v_x)) % 15.84/16.20 (step @p1026 :rule refl :args (@t798)) % 15.84/16.20 (step @p1027 :rule nary_cong :premises (@p1026 @p1025 @p1024) :args (@t841)) % 15.84/16.20 (step @p1028 :rule cong :premises (@p1027) :args (@t842)) % 15.84/16.20 (step @p1029 :rule nary_cong :premises (@p1028 @p1023) :args ((and @t842 @t840))) % 15.84/16.20 (step @p1030 :rule alpha_equiv :args (@t844 @t603 (@list @t830))) % 15.84/16.20 (step @p1031 :rule alpha_equiv :args (@t846 @t603 @t776)) % 15.84/16.20 (step @p1032 :rule nary_cong :premises (@p1031 @p1030) :args (@t847)) % 15.84/16.20 (step @p1033 :rule quant-miniscope-and :args ((= (forall @t82 (and @t845 @t843)) @t847))) % 15.84/16.20 (step @p1034 :rule trans :premises (@p1033 @p1032)) % 15.84/16.20 (step @p1035 :rule trans :premises (@p1034 @p1029)) % 15.84/16.20 (step @p1036 :rule aci_norm :args ((= (or @t822 @t550) @t843))) % 15.84/16.20 (step @p1037 :rule refl :args (@t550)) % 15.84/16.20 (step @p1038 :rule bool-and-de-morgan :args (@t557 @t544 true)) % 15.84/16.20 (step @p1039 :rule nary_cong :premises (@p1038 @p1037) :args ((or (not @t569) @t550))) % 15.84/16.20 (step @p1040 :rule trans :premises (@p1039 @p1036)) % 15.84/16.20 (step @p1041 :rule bool-impl-elim :args (@t569 @t550)) % 15.84/16.20 (step @p1042 :rule trans :premises (@p1041 @p1040)) % 15.84/16.20 (step @p1043 :rule aci_norm :args ((= (or @t827 @t534) @t845))) % 15.84/16.20 (step @p1044 :rule nary_cong :premises (@p977 @p988) :args ((or @t829 @t534))) % 15.84/16.20 (step @p1045 :rule trans :premises (@p1044 @p1043)) % 15.84/16.20 (step @p1046 :rule bool-impl-elim :args (@t562 @t534)) % 15.84/16.20 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 15.84/16.20 (step @p1048 :rule nary_cong :premises (@p1047 @p1042) :args (@t570)) % 15.84/16.20 (step @p1049 :rule cong :premises (@p1048) :args (@t571)) % 15.84/16.20 (step @p1050 :rule trans :premises (@p1049 @p1035)) % 15.84/16.20 (step @p1051 :rule refl :args (@t552)) % 15.84/16.20 (step @p1052 :rule cong :premises (@p1051 @p1050) :args (@t572)) % 15.84/16.20 (step @p1053 :rule nary_cong :premises (@p1052 @p999 @p986) :args (@t573)) % 15.84/16.20 (step @p1054 :rule cong :premises (@p1053) :args (@t574)) % 15.84/16.20 (step @p1055 :rule trans :premises (@p1054 @p932)) % 15.84/16.20 (step @p1056 :rule nary_cong :premises (@p1055 @p761) :args (@t575)) % 15.84/16.20 (step @p1057 :rule trans :premises (@p1056 @p754)) % 15.84/16.20 (step @p1058 :rule cong :premises (@p1057) :args (@t576)) % 15.84/16.20 (step @p1059 :rule eq_resolve :premises (@p520 @p1058)) % 15.84/16.20 (step @p1060 :rule not_and :premises (@p1059)) % 15.84/16.20 (step @p1061 :rule chain_m_resolution :premises (@p1060 @p753 @p610 @p570) :args (@t848 (@list false false false) (@list @t643 @t621 @t584))) % 15.84/16.20 (step @p1062 :rule refl :args (@t861)) % 15.84/16.20 (step @p1063 :rule bool-double-not-elim :args (@t711)) % 15.84/16.20 (step @p1064 :rule nary_cong :premises (@p1063 @p1062) :args ((or (not @t848) @t861))) % 15.84/16.20 (assume-push @p1124 @t848) % 15.84/16.20 (step @p1066 :rule skolemize :premises (@p1124)) % 15.84/16.20 (step-pop @p1125 :rule scope :premises (@p1066)) % 15.84/16.20 (step @p1067 :rule process_scope :premises (@p1125) :args (@t861)) % 15.84/16.20 (step @p1069 :rule implies_elim :premises (@p1067)) % 15.84/16.20 (step @p1070 :rule eq_resolve :premises (@p1069 @p1064)) % 15.84/16.20 (step @p1071 :rule chain_m_resolution :premises (@p1070 @p1061) :args (@t861 @t862 (@list @t711))) % 15.84/16.20 (step @p1072 :rule bool-double-not-elim :args (@t858)) % 15.84/16.20 (step @p1073 :rule refl :args (@t860)) % 15.84/16.20 (step @p1074 :rule nary_cong :premises (@p1073 @p1072) :args ((or @t860 (not @t859)))) % 15.84/16.20 (step @p1075 :rule cnf_or_neg :args (@t860 0)) % 15.84/16.20 (step @p1076 :rule eq_resolve :premises (@p1075 @p1074)) % 15.84/16.20 (step @p1077 :rule reordering :premises (@p1076) :args ((or @t858 @t860))) % 15.84/16.20 (step @p1078 :rule chain_m_resolution :premises (@p1077 @p1071) :args (@t858 @t862 @t863)) % 15.84/16.20 (step @p1079 :rule instantiate :premises (@p556) :args ((@list tptp.v_y @t849 @t852))) % 15.84/16.20 (step @p1080 :rule cnf_or_neg :args (@t860 2)) % 15.84/16.20 (step @p1081 :rule chain_m_resolution :premises (@p1080 @p1071) :args ((not @t857) @t862 @t863)) % 15.84/16.20 (step @p1082 :rule instantiate :premises (@p556) :args ((@list tptp.v_y @t849 tptp.v_y))) % 15.84/16.20 (step @p1083 :rule and_elim :premises (@p519) :args (1)) % 15.84/16.20 (step @p1084 :rule instantiate :premises (@p1083) :args ((@list tptp.v_y))) % 15.84/16.20 (step @p1085 :rule cnf_or_pos :args (@t865)) % 15.84/16.20 (step @p1086 :rule reordering :premises (@p1085) :args ((or @t859 @t851 @t864 (not @t865)))) % 15.84/16.20 (step @p1087 :rule chain_m_resolution :premises (@p1086 @p1078 @p1084 @p1082) :args (@t851 @t638 (@list @t858 @t864 @t865))) % 15.84/16.20 (step @p1088 :rule bool-double-not-elim :args (@t850)) % 15.84/16.20 (step @p1089 :rule refl :args (@t866)) % 15.84/16.20 (step @p1090 :rule refl :args (@t857)) % 15.84/16.20 (step @p1091 :rule nary_cong :premises (@p1090 @p1089 @p1088) :args ((or @t857 @t866 (not @t851)))) % 15.84/16.20 (step @p1092 :rule cnf_and_neg :args (@t857)) % 15.84/16.20 (step @p1093 :rule eq_resolve :premises (@p1092 @p1091)) % 15.84/16.20 (step @p1094 :rule reordering :premises (@p1093) :args ((or @t850 @t857 @t866))) % 15.84/16.20 (step @p1095 :rule chain_m_resolution :premises (@p1094 @p1087 @p1081) :args (@t866 (@list true true) (@list @t850 @t857))) % 15.84/16.20 (step @p1096 :rule bool-double-not-elim :args (@t854)) % 15.84/16.20 (step @p1097 :rule refl :args (@t856)) % 15.84/16.20 (step @p1098 :rule nary_cong :premises (@p1097 @p1096) :args ((or @t856 (not @t855)))) % 15.84/16.20 (step @p1099 :rule cnf_or_neg :args (@t856 0)) % 15.84/16.20 (step @p1100 :rule eq_resolve :premises (@p1099 @p1098)) % 15.84/16.20 (step @p1101 :rule reordering :premises (@p1100) :args ((or @t854 @t856))) % 15.84/16.20 (step @p1102 :rule chain_m_resolution :premises (@p1101 @p1095) :args (@t854 @t862 @t867)) % 15.84/16.20 (step @p1103 :rule cnf_or_neg :args (@t856 3)) % 15.84/16.20 (step @p1104 :rule chain_m_resolution :premises (@p1103 @p1095) :args ((not @t853) @t862 @t867)) % 15.84/16.20 (step @p1105 :rule cnf_or_pos :args (@t868)) % 15.84/16.20 (step @p1106 :rule reordering :premises (@p1105) :args ((or @t859 @t855 @t853 (not @t868)))) % 15.84/16.20 (step @p1107 false :rule chain_m_resolution :premises (@p1106 @p1104 @p1102 @p1079 @p1078) :args (false (@list true false false false) (@list @t853 @t854 @t868 @t858))) % 15.84/16.20 ) % 15.84/16.20 % SZS output end Proof % 15.84/16.20 % cvc5 exiting %------------------------------------------------------------------------------