%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT121+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 : n027.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 34.09s 35.01s % Output : Proof 34.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT121+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 14:29:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.61 %----Proving TF0_NAR, FOF, or CNF % 34.09/35.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.09/35.01 --- Run --no-e-matching --full-saturate-quant at 6... % 34.09/35.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.09/35.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.09/35.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.09/35.01 % SZS status Theorem % 34.09/35.01 % SZS output start Proof % 34.09/35.01 ( % 34.09/35.01 (declare-sort $$unsorted 0) % 34.09/35.01 (declare-const tptp.v_a $$unsorted) % 34.09/35.01 (declare-const tptp.v_P $$unsorted) % 34.09/35.01 (declare-const tptp.v_i $$unsorted) % 34.09/35.01 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 34.09/35.01 (declare-const tptp.tc_HOL_Obool $$unsorted) % 34.09/35.01 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 34.09/35.01 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.v_b $$unsorted) % 34.09/35.01 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.09/35.01 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 34.09/35.01 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 34.09/35.01 (define @t1 () (@var "V_g_2" $$unsorted)) % 34.09/35.01 (define @t2 () (@var "V_f_2" $$unsorted)) % 34.09/35.01 (define @t3 () (@var "B_x" $$unsorted)) % 34.09/35.01 (define @t4 () (tptp.hAPP @t1 @t3)) % 34.09/35.01 (define @t5 () (tptp.hAPP @t2 @t3)) % 34.09/35.01 (define @t6 () (@list @t3)) % 34.09/35.01 (define @t7 () (@var "T_a" $$unsorted)) % 34.09/35.01 (define @t8 () (tptp.tc_fun @t7 tptp.tc_HOL_Obool)) % 34.09/35.01 (define @t9 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 34.09/35.01 (define @t10 () (@var "V_x_2" $$unsorted)) % 34.09/35.01 (define @t11 () (@list @t10 @t7)) % 34.09/35.01 (define @t12 () (@var "V_r_2" $$unsorted)) % 34.09/35.01 (define @t13 () (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t3)) % 34.09/35.01 (define @t14 () (tptp.tc_prod @t7 @t7)) % 34.09/35.01 (define @t15 () (tptp.c_member @t14 @t13 @t12)) % 34.09/35.01 (define @t16 () (tptp.c_Relation_Oirrefl @t7 @t12)) % 34.09/35.01 (define @t17 () (@list @t12 @t7)) % 34.09/35.01 (define @t18 () (@var "B_xa" $$unsorted)) % 34.09/35.01 (define @t19 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t18 @t3) @t12)) % 34.09/35.01 (define @t20 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t18) @t12)) % 34.09/35.01 (define @t21 () (or @t20 @t19)) % 34.09/35.01 (define @t22 () (= @t3 @t18)) % 34.09/35.01 (define @t23 () (not @t22)) % 34.09/35.01 (define @t24 () (=> @t23 @t21)) % 34.09/35.01 (define @t25 () (@var "V_A_2" $$unsorted)) % 34.09/35.01 (define @t26 () (tptp.c_member @t7 @t18 @t25)) % 34.09/35.01 (define @t27 () (@list @t18)) % 34.09/35.01 (define @t28 () (forall @t27 (=> @t26 @t24))) % 34.09/35.01 (define @t29 () (tptp.c_member @t7 @t3 @t25)) % 34.09/35.01 (define @t30 () (=> @t29 @t28)) % 34.09/35.01 (define @t31 () (forall @t6 @t30)) % 34.09/35.01 (define @t32 () (tptp.c_Relation_Ototal__on @t7 @t25 @t12)) % 34.09/35.01 (define @t33 () (= @t32 @t31)) % 34.09/35.01 (define @t34 () (@list @t12 @t25 @t7)) % 34.09/35.01 (define @t35 () (forall @t34 @t33)) % 34.09/35.01 (define @t36 () (@var "B_z" $$unsorted)) % 34.09/35.01 (define @t37 () (@var "B_y" $$unsorted)) % 34.09/35.01 (define @t38 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t36) @t12)) % 34.09/35.01 (define @t39 () (@list @t36)) % 34.09/35.01 (define @t40 () (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t37)) % 34.09/35.01 (define @t41 () (tptp.c_member @t14 @t40 @t12)) % 34.09/35.01 (define @t42 () (@list @t3 @t37)) % 34.09/35.01 (define @t43 () (forall @t42 (=> @t41 (forall @t39 (=> @t38 (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t36) @t12)))))) % 34.09/35.01 (define @t44 () (tptp.c_Relation_Otrans @t7 @t12)) % 34.09/35.01 (define @t45 () (@var "V_c_2" $$unsorted)) % 34.09/35.01 (define @t46 () (@var "V_a_2" $$unsorted)) % 34.09/35.01 (define @t47 () (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t45)) % 34.09/35.01 (define @t48 () (tptp.c_member @t14 @t47 @t12)) % 34.09/35.01 (define @t49 () (@var "V_b_2" $$unsorted)) % 34.09/35.01 (define @t50 () (tptp.c_Product__Type_OPair @t7 @t7 @t49 @t45)) % 34.09/35.01 (define @t51 () (tptp.c_member @t14 @t50 @t12)) % 34.09/35.01 (define @t52 () (=> @t51 @t48)) % 34.09/35.01 (define @t53 () (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t49)) % 34.09/35.01 (define @t54 () (tptp.c_member @t14 @t53 @t12)) % 34.09/35.01 (define @t55 () (=> @t54 @t52)) % 34.09/35.01 (define @t56 () (forall (@list @t45 @t49 @t46 @t12 @t7) (=> @t44 @t55))) % 34.09/35.01 (define @t57 () (@var "V_B_2" $$unsorted)) % 34.09/35.01 (define @t58 () (tptp.c_member @t7 @t45 @t57)) % 34.09/35.01 (define @t59 () (tptp.c_member @t7 @t45 @t25)) % 34.09/35.01 (define @t60 () (=> (not @t59) @t58)) % 34.09/35.01 (define @t61 () (not @t58)) % 34.09/35.01 (define @t62 () (=> @t59 @t61)) % 34.09/35.01 (define @t63 () (= @t25 @t57)) % 34.09/35.01 (define @t64 () (@var "V_L_2" $$unsorted)) % 34.09/35.01 (define @t65 () (@var "V_y_2" $$unsorted)) % 34.09/35.01 (define @t66 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t65)) % 34.09/35.01 (define @t67 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.09/35.01 (define @t68 () (tptp.c_member @t67 @t66 @t64)) % 34.09/35.01 (define @t69 () (@var "V_z_2" $$unsorted)) % 34.09/35.01 (define @t70 () (= @t10 @t69)) % 34.09/35.01 (define @t71 () (not @t70)) % 34.09/35.01 (define @t72 () (= @t10 @t65)) % 34.09/35.01 (define @t73 () (not @t72)) % 34.09/35.01 (define @t74 () (= @t65 @t69)) % 34.09/35.01 (define @t75 () (not @t74)) % 34.09/35.01 (define @t76 () (@list @t69 @t64 @t65 @t10)) % 34.09/35.01 (define @t77 () (tptp.c_Orderings_Otop__class_Otop @t7)) % 34.09/35.01 (define @t78 () (@var "T_b" $$unsorted)) % 34.09/35.01 (define @t79 () (tptp.tc_fun @t78 @t7)) % 34.09/35.01 (define @t80 () (tptp.class_Orderings_Otop @t7)) % 34.09/35.01 (define @t81 () (@list @t10 @t78 @t7)) % 34.09/35.01 (define @t82 () (tptp.c_member @t7 @t46 @t25)) % 34.09/35.01 (define @t83 () (tptp.c_member @t7 @t49 @t25)) % 34.09/35.01 (define @t84 () (= @t46 @t49)) % 34.09/35.01 (define @t85 () (@list @t25 @t7 @t49 @t46)) % 34.09/35.01 (define @t86 () (tptp.c_member @t7 @t65 @t25)) % 34.09/35.01 (define @t87 () (tptp.c_member @t7 @t10 @t25)) % 34.09/35.01 (define @t88 () (tptp.c_member @t7 @t10 @t57)) % 34.09/35.01 (define @t89 () (@list @t65 @t10 @t7)) % 34.09/35.01 (define @t90 () (tptp.hAPP @t25 @t10)) % 34.09/35.01 (define @t91 () (tptp.hBOOL @t90)) % 34.09/35.01 (define @t92 () (@list @t25 @t10 @t7)) % 34.09/35.01 (define @t93 () (@var "V_R_2" $$unsorted)) % 34.09/35.01 (define @t94 () (tptp.c_Product__Type_OPair @t7 @t78 @t10 @t65)) % 34.09/35.01 (define @t95 () (tptp.tc_prod @t7 @t78)) % 34.09/35.01 (define @t96 () (@var "V_P_2" $$unsorted)) % 34.09/35.01 (define @t97 () (tptp.c_Recdef_Osame__fst @t7 @t78 @t96 @t93)) % 34.09/35.01 (define @t98 () (@var "V_y_H_2" $$unsorted)) % 34.09/35.01 (define @t99 () (tptp.tc_prod @t95 @t95)) % 34.09/35.01 (define @t100 () (tptp.tc_prod @t78 @t78)) % 34.09/35.01 (define @t101 () (tptp.hBOOL (tptp.hAPP @t96 @t10))) % 34.09/35.01 (define @t102 () (tptp.c_member @t78 @t49 (tptp.c_Relation_ORange @t7 @t78 @t12))) % 34.09/35.01 (define @t103 () (tptp.c_Product__Type_OPair @t7 @t78 @t46 @t49)) % 34.09/35.01 (define @t104 () (tptp.c_member @t95 @t103 @t12)) % 34.09/35.01 (define @t105 () (@list @t12 @t49 @t46 @t78 @t7)) % 34.09/35.01 (define @t106 () (forall @t105 (=> @t104 @t102))) % 34.09/35.01 (define @t107 () (tptp.c_Relation_OId__on @t7 @t25)) % 34.09/35.01 (define @t108 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t65)) % 34.09/35.01 (define @t109 () (@list @t25 @t65 @t10 @t7)) % 34.09/35.01 (define @t110 () (tptp.c_Relation_ODomain @t7 @t78 @t12)) % 34.09/35.01 (define @t111 () (tptp.c_member @t7 @t46 @t110)) % 34.09/35.01 (define @t112 () (tptp.tc_fun @t67 tptp.tc_HOL_Obool)) % 34.09/35.01 (define @t113 () (tptp.c_member @t112 @t64 tptp.c_Arrow__Order__Mirabelle_OLin)) % 34.09/35.01 (define @t114 () (tptp.hAPP @t2 @t10)) % 34.09/35.01 (define @t115 () (@list @t25 @t7)) % 34.09/35.01 (define @t116 () (tptp.c_Relation_Oinv__image @t7 @t78 @t12 @t2)) % 34.09/35.01 (define @t117 () (@list @t2 @t78 @t12 @t7)) % 34.09/35.01 (define @t118 () (@list @t10 @t64)) % 34.09/35.01 (define @t119 () (tptp.c_member @t95 (tptp.c_Product__Type_OPair @t7 @t78 @t46 @t37) @t12)) % 34.09/35.01 (define @t120 () (@list @t37)) % 34.09/35.01 (define @t121 () (@list @t12 @t78 @t46 @t7)) % 34.09/35.01 (define @t122 () (tptp.tc_prod @t78 @t7)) % 34.09/35.01 (define @t123 () (tptp.c_Relation_ORange @t78 @t7 @t12)) % 34.09/35.01 (define @t124 () (= @t65 @t49)) % 34.09/35.01 (define @t125 () (= @t10 @t46)) % 34.09/35.01 (define @t126 () (= @t10 @t49)) % 34.09/35.01 (define @t127 () (not @t84)) % 34.09/35.01 (define @t128 () (@list @t65 @t10 @t64 @t49 @t46)) % 34.09/35.01 (define @t129 () (= @t65 @t46)) % 34.09/35.01 (define @t130 () (@list @t64 @t65 @t10)) % 34.09/35.01 (define @t131 () (@var "V_s_2" $$unsorted)) % 34.09/35.01 (define @t132 () (@var "V_b_H_2" $$unsorted)) % 34.09/35.01 (define @t133 () (@var "V_a_H_2" $$unsorted)) % 34.09/35.01 (define @t134 () (= @t46 @t133)) % 34.09/35.01 (define @t135 () (tptp.c_Product__Type_OPair @t7 @t78 @t133 @t132)) % 34.09/35.01 (define @t136 () (tptp.c_member @t122 (tptp.c_Product__Type_OPair @t78 @t7 @t3 @t49) @t12)) % 34.09/35.01 (define @t137 () (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t46)) % 34.09/35.01 (define @t138 () (tptp.c_member @t14 @t137 @t12)) % 34.09/35.01 (define @t139 () (tptp.c_Relation_Orefl__on @t7 @t25 @t12)) % 34.09/35.01 (define @t140 () (@list @t46 @t12 @t25 @t7)) % 34.09/35.01 (define @t141 () (tptp.c_member @t14 @t108 @t12)) % 34.09/35.01 (define @t142 () (@list @t65 @t10 @t12 @t25 @t7)) % 34.09/35.01 (define @t143 () (@var "V_R2_2" $$unsorted)) % 34.09/35.01 (define @t144 () (@var "V_R1_2" $$unsorted)) % 34.09/35.01 (define @t145 () (tptp.c_Order__Relation_Opreorder__on @t7 @t25 @t12)) % 34.09/35.01 (define @t146 () (tptp.c_Wellfounded_Oacc @t7 @t12)) % 34.09/35.01 (define @t147 () (tptp.c_member @t7 @t46 @t146)) % 34.09/35.01 (define @t148 () (tptp.c_member @t7 @t49 @t146)) % 34.09/35.01 (define @t149 () (tptp.c_member @t7 @t3 @t146)) % 34.09/35.01 (define @t150 () (@list @t12 @t46 @t7)) % 34.09/35.01 (define @t151 () (@var "B_g" $$unsorted)) % 34.09/35.01 (define @t152 () (@var "V_Fa_2" $$unsorted)) % 34.09/35.01 (define @t153 () (@var "V_a1_2" $$unsorted)) % 34.09/35.01 (define @t154 () (forall @t39 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t153) @t93) (tptp.c_Recdef_Owfrec__rel @t7 @t78 @t93 @t152 @t36 (tptp.hAPP @t151 @t36))))) % 34.09/35.01 (define @t155 () (tptp.hAPP (tptp.hAPP @t152 @t151) @t153)) % 34.09/35.01 (define @t156 () (@var "V_a2_2" $$unsorted)) % 34.09/35.01 (define @t157 () (tptp.hAPP (tptp.hAPP @t152 @t156) @t153)) % 34.09/35.01 (define @t158 () (@list @t151)) % 34.09/35.01 (define @t159 () (@list @t156 @t153 @t152 @t93 @t78 @t7)) % 34.09/35.01 (define @t160 () (tptp.c_Relation_Osingle__valued @t7 @t78 @t12)) % 34.09/35.01 (define @t161 () (forall @t42 (=> (tptp.c_member @t95 (tptp.c_Product__Type_OPair @t7 @t78 @t3 @t37) @t12) (forall @t39 (=> (tptp.c_member @t95 (tptp.c_Product__Type_OPair @t7 @t78 @t3 @t36) @t12) (= @t37 @t36)))))) % 34.09/35.01 (define @t162 () (@list @t12 @t78 @t7)) % 34.09/35.01 (define @t163 () (tptp.c_Recdef_Ocut @t7 @t78 @t2 @t12 @t46)) % 34.09/35.01 (define @t164 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t46)) % 34.09/35.01 (define @t165 () (tptp.c_member @t14 @t164 @t12)) % 34.09/35.01 (define @t166 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t10) @t12)) % 34.09/35.01 (define @t167 () (@var "B_f" $$unsorted)) % 34.09/35.01 (define @t168 () (@var "B_R" $$unsorted)) % 34.09/35.01 (define @t169 () (tptp.c_member @t7 @t10 @t146)) % 34.09/35.01 (define @t170 () (tptp.c_Wellfounded_Oacc @t7 @t93)) % 34.09/35.01 (define @t171 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t10) @t93)) % 34.09/35.01 (define @t172 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t12)) % 34.09/35.01 (define @t173 () (tptp.c_Product__Type_OPair @t7 @t7 @t49 @t46)) % 34.09/35.01 (define @t174 () (tptp.c_member @t14 @t173 @t172)) % 34.09/35.01 (define @t175 () (tptp.c_Relation_OId @t7)) % 34.09/35.01 (define @t176 () (@list @t46 @t7)) % 34.09/35.01 (define @t177 () (@list @t7)) % 34.09/35.01 (define @t178 () (@list @t49 @t46 @t7)) % 34.09/35.01 (define @t179 () (tptp.c_Relation_ORange @t7 @t7 @t175)) % 34.09/35.01 (define @t180 () (forall @t177 (= @t179 @t9))) % 34.09/35.01 (define @t181 () (@var "V_p_2" $$unsorted)) % 34.09/35.01 (define @t182 () (tptp.c_member @t14 @t181 @t12)) % 34.09/35.01 (define @t183 () (@list @t12 @t181 @t7)) % 34.09/35.01 (define @t184 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t93)) % 34.09/35.01 (define @t185 () (tptp.c_member @t14 @t108 @t184)) % 34.09/35.01 (define @t186 () (tptp.c_Product__Type_OPair @t7 @t7 @t65 @t69)) % 34.09/35.01 (define @t187 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t69)) % 34.09/35.01 (define @t188 () (tptp.c_member @t14 @t187 @t172)) % 34.09/35.01 (define @t189 () (tptp.c_member @t14 @t108 @t172)) % 34.09/35.01 (define @t190 () (@list @t93 @t7)) % 34.09/35.01 (define @t191 () (tptp.c_member @t14 @t47 @t172)) % 34.09/35.01 (define @t192 () (tptp.c_member @t14 @t50 @t172)) % 34.09/35.01 (define @t193 () (=> @t192 @t191)) % 34.09/35.01 (define @t194 () (tptp.c_member @t14 @t53 @t172)) % 34.09/35.01 (define @t195 () (@list @t45 @t12 @t49 @t46 @t7)) % 34.09/35.01 (define @t196 () (@var "V_by_2" $$unsorted)) % 34.09/35.01 (define @t197 () (@var "V_bx_2" $$unsorted)) % 34.09/35.01 (define @t198 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t96 @t197) @t196))) % 34.09/35.01 (define @t199 () (@var "B_ba" $$unsorted)) % 34.09/35.01 (define @t200 () (@var "B_aa" $$unsorted)) % 34.09/35.01 (define @t201 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t96 @t200) @t199))) % 34.09/35.01 (define @t202 () (@var "B_b" $$unsorted)) % 34.09/35.01 (define @t203 () (@var "B_a" $$unsorted)) % 34.09/35.01 (define @t204 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t96 @t203) @t202))) % 34.09/35.01 (define @t205 () (tptp.c_Product__Type_OPair @t7 @t78 @t200 @t199)) % 34.09/35.01 (define @t206 () (tptp.c_Product__Type_OPair @t7 @t78 @t203 @t202)) % 34.09/35.01 (define @t207 () (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t206 @t205) @t12)) % 34.09/35.01 (define @t208 () (tptp.c_Transitive__Closure_Ortrancl @t95 @t12)) % 34.09/35.01 (define @t209 () (@var "V_ay_2" $$unsorted)) % 34.09/35.01 (define @t210 () (@var "V_ax_2" $$unsorted)) % 34.09/35.01 (define @t211 () (tptp.c_Product__Type_OPair @t7 @t78 @t210 @t209)) % 34.09/35.01 (define @t212 () (@list @t203 @t202)) % 34.09/35.01 (define @t213 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t96 @t210) @t209))) % 34.09/35.01 (define @t214 () (tptp.c_Product__Type_OPair @t7 @t78 @t197 @t196)) % 34.09/35.01 (define @t215 () (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t211 @t214) @t208)) % 34.09/35.01 (define @t216 () (@list @t96 @t12 @t196 @t197 @t209 @t210 @t78 @t7)) % 34.09/35.01 (define @t217 () (@var "V_zb_2" $$unsorted)) % 34.09/35.01 (define @t218 () (@var "V_za_2" $$unsorted)) % 34.09/35.01 (define @t219 () (tptp.c_Product__Type_OPair @t7 @t78 @t218 @t217)) % 34.09/35.01 (define @t220 () (@var "V_xb_2" $$unsorted)) % 34.09/35.01 (define @t221 () (@var "V_xa_2" $$unsorted)) % 34.09/35.01 (define @t222 () (tptp.c_Product__Type_OPair @t7 @t78 @t221 @t220)) % 34.09/35.01 (define @t223 () (tptp.hBOOL (tptp.hAPP @t96 @t49))) % 34.09/35.01 (define @t224 () (tptp.hBOOL (tptp.hAPP @t96 @t36))) % 34.09/35.01 (define @t225 () (tptp.hBOOL (tptp.hAPP @t96 @t37))) % 34.09/35.01 (define @t226 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t37) @t172)) % 34.09/35.01 (define @t227 () (tptp.hBOOL (tptp.hAPP @t96 @t46))) % 34.09/35.01 (define @t228 () (@list @t96 @t12 @t49 @t46 @t7)) % 34.09/35.01 (define @t229 () (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t69)) % 34.09/35.01 (define @t230 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t37) @t12)) % 34.09/35.01 (define @t231 () (@list @t12 @t69 @t10 @t7)) % 34.09/35.01 (define @t232 () (@list @t12 @t49 @t46 @t7)) % 34.09/35.01 (define @t233 () (tptp.c_Transitive__Closure_Otrancl @t7 @t12)) % 34.09/35.01 (define @t234 () (tptp.c_member @t14 @t53 @t233)) % 34.09/35.01 (define @t235 () (tptp.tc_fun @t14 tptp.tc_HOL_Obool)) % 34.09/35.01 (define @t236 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t12 @t175)) % 34.09/35.01 (define @t237 () (@var "B_L" $$unsorted)) % 34.09/35.01 (define @t238 () (@var "V_b_H" $$unsorted)) % 34.09/35.01 (define @t239 () (@var "V_b" $$unsorted)) % 34.09/35.01 (define @t240 () (@var "V_a_H" $$unsorted)) % 34.09/35.01 (define @t241 () (@var "V_a" $$unsorted)) % 34.09/35.01 (define @t242 () (@var "B_x1" $$unsorted)) % 34.09/35.01 (define @t243 () (tptp.c_member @t14 @t173 @t12)) % 34.09/35.01 (define @t244 () (tptp.c_Relation_Oantisym @t7 @t12)) % 34.09/35.01 (define @t245 () (@list @t49 @t46 @t12 @t7)) % 34.09/35.01 (define @t246 () (= @t3 @t37)) % 34.09/35.01 (define @t247 () (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t3)) % 34.09/35.01 (define @t248 () (forall @t42 (=> @t41 (=> (tptp.c_member @t14 @t247 @t12) @t246)))) % 34.09/35.01 (define @t249 () (tptp.hAPP @t57 @t10)) % 34.09/35.01 (define @t250 () (tptp.hBOOL @t249)) % 34.09/35.01 (define @t251 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t57)) % 34.09/35.01 (define @t252 () (tptp.hBOOL (tptp.hAPP @t251 @t10))) % 34.09/35.01 (define @t253 () (@list @t10 @t57 @t25 @t7)) % 34.09/35.01 (define @t254 () (not @t250)) % 34.09/35.01 (define @t255 () (tptp.c_member @t7 @t45 @t251)) % 34.09/35.01 (define @t256 () (@list @t57 @t25 @t45 @t7)) % 34.09/35.01 (define @t257 () (@list @t25 @t57 @t45 @t7)) % 34.09/35.01 (define @t258 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t57 @t25)) % 34.09/35.01 (define @t259 () (@list @t57 @t25 @t7)) % 34.09/35.01 (define @t260 () (@var "V_C_2" $$unsorted)) % 34.09/35.01 (define @t261 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t260)) % 34.09/35.01 (define @t262 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t57 @t260)) % 34.09/35.01 (define @t263 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t262)) % 34.09/35.01 (define @t264 () (@list @t260 @t57 @t25 @t7)) % 34.09/35.01 (define @t265 () (tptp.hBOOL (tptp.hAPP @t96 @t3))) % 34.09/35.01 (define @t266 () (tptp.c_member @t7 @t3 @t57)) % 34.09/35.01 (define @t267 () (tptp.c_member @t7 @t3 @t251)) % 34.09/35.01 (define @t268 () (@list @t96 @t57 @t25 @t7)) % 34.09/35.01 (define @t269 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t12 @t131)) % 34.09/35.01 (define @t270 () (tptp.c_Relation_Orefl__on @t7 @t57 @t131)) % 34.09/35.01 (define @t271 () (@list @t131 @t57 @t12 @t25 @t7)) % 34.09/35.01 (define @t272 () (tptp.c_Relation_ORange @t78 @t7 @t57)) % 34.09/35.01 (define @t273 () (tptp.c_Relation_ORange @t78 @t7 @t25)) % 34.09/35.01 (define @t274 () (tptp.tc_fun @t122 tptp.tc_HOL_Obool)) % 34.09/35.01 (define @t275 () (tptp.c_Relation_ODomain @t7 @t78 @t57)) % 34.09/35.01 (define @t276 () (tptp.c_Relation_ODomain @t7 @t78 @t25)) % 34.09/35.01 (define @t277 () (tptp.tc_fun @t95 tptp.tc_HOL_Obool)) % 34.09/35.01 (define @t278 () (@list @t57 @t25 @t78 @t7)) % 34.09/35.01 (define @t279 () (tptp.c_member @t14 @t181 @t233)) % 34.09/35.01 (define @t280 () (@list @t57 @t7)) % 34.09/35.01 (define @t281 () (tptp.c_Transitive__Closure_Otrancl @t7 @t93)) % 34.09/35.01 (define @t282 () (@var "V_S_2" $$unsorted)) % 34.09/35.01 (define @t283 () (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t93 @t282))) % 34.09/35.01 (define @t284 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t282)) % 34.09/35.01 (define @t285 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t184 @t284)) % 34.09/35.01 (define @t286 () (@list @t282 @t93 @t7)) % 34.09/35.01 (define @t287 () (tptp.c_Relation_ODomain @t7 @t7 @t12)) % 34.09/35.01 (define @t288 () (tptp.c_Relation_ORange @t7 @t7 @t12)) % 34.09/35.01 (define @t289 () (tptp.c_member @t14 @t47 @t233)) % 34.09/35.01 (define @t290 () (=> (tptp.c_member @t14 @t50 @t233) @t289)) % 34.09/35.01 (define @t291 () (=> @t51 @t289)) % 34.09/35.01 (define @t292 () (tptp.c_member @t14 @t108 @t281)) % 34.09/35.01 (define @t293 () (@list @t93 @t65 @t10 @t7)) % 34.09/35.01 (define @t294 () (=> @t192 @t289)) % 34.09/35.01 (define @t295 () (tptp.c_member @t14 @t187 @t233)) % 34.09/35.01 (define @t296 () (@var "V_f1_2" $$unsorted)) % 34.09/35.01 (define @t297 () (@var "T_c" $$unsorted)) % 34.09/35.01 (define @t298 () (tptp.c_Product__Type_OPair @t78 @t297 @t46 @t49)) % 34.09/35.01 (define @t299 () (tptp.hAPP @t1 @t10)) % 34.09/35.01 (define @t300 () (tptp.class_Lattices_Olattice @t7)) % 34.09/35.01 (define @t301 () (@list @t10 @t1 @t2 @t78 @t7)) % 34.09/35.01 (define @t302 () (@var "V_x" $$unsorted)) % 34.09/35.01 (define @t303 () (tptp.class_Lattices_Obounded__lattice__top @t7)) % 34.09/35.01 (define @t304 () (@list @t302 @t7)) % 34.09/35.01 (define @t305 () (tptp.c_Order__Relation_Opartial__order__on @t7 @t25 @t12)) % 34.09/35.01 (define @t306 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t96)) % 34.09/35.01 (define @t307 () (tptp.c_member @t14 @t53 @t306)) % 34.09/35.01 (define @t308 () (@var "V_Q_2" $$unsorted)) % 34.09/35.01 (define @t309 () (tptp.c_member @t14 @t53 (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t96 @t308)))) % 34.09/35.01 (define @t310 () (@list @t308 @t96 @t49 @t46 @t7)) % 34.09/35.01 (define @t311 () (tptp.class_Lattices_Osemilattice__sup @t7)) % 34.09/35.01 (define @t312 () (@list @t241 @t7)) % 34.09/35.01 (define @t313 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t241 @t239)) % 34.09/35.01 (define @t314 () (@list @t239 @t241 @t7)) % 34.09/35.01 (define @t315 () (@var "V_y" $$unsorted)) % 34.09/35.01 (define @t316 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t315 @t302)) % 34.09/35.01 (define @t317 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t315)) % 34.09/35.01 (define @t318 () (= @t317 @t316)) % 34.09/35.01 (define @t319 () (@list @t315 @t302 @t7)) % 34.09/35.01 (define @t320 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t317) @t317)) % 34.09/35.01 (define @t321 () (@var "V_c" $$unsorted)) % 34.09/35.01 (define @t322 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t241 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t239 @t321))) % 34.09/35.01 (define @t323 () (@list @t321 @t241 @t239 @t7)) % 34.09/35.01 (define @t324 () (@var "V_z" $$unsorted)) % 34.09/35.01 (define @t325 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t324)) % 34.09/35.01 (define @t326 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t315 @t324)) % 34.09/35.01 (define @t327 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t326)) % 34.09/35.01 (define @t328 () (= @t327 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t315 @t325))) % 34.09/35.01 (define @t329 () (@list @t324 @t315 @t302 @t7)) % 34.09/35.01 (define @t330 () (@list @t321 @t239 @t241 @t7)) % 34.09/35.01 (define @t331 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t317 @t324) @t327)) % 34.09/35.01 (define @t332 () (tptp.c_Order__Relation_Olinear__order__on @t7 @t25 @t12)) % 34.09/35.01 (define @t333 () (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t65)) % 34.09/35.01 (define @t334 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t36)) % 34.09/35.01 (define @t335 () (forall @t6 (not (tptp.c_member @t14 @t13 @t233)))) % 34.09/35.01 (define @t336 () (tptp.c_Wellfounded_Oacyclic @t7 @t12)) % 34.09/35.01 (define @t337 () (tptp.c_Groups_Ominus__class_Ominus @t235 @t12 @t175)) % 34.09/35.01 (define @t338 () (not @t189)) % 34.09/35.01 (define @t339 () (tptp.c_Set_Oinsert @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t65 @t10) @t12)) % 34.09/35.01 (define @t340 () (@list @t12 @t10 @t65 @t7)) % 34.09/35.01 (define @t341 () (tptp.c_Relation_OField @t7 @t12)) % 34.09/35.01 (define @t342 () (tptp.c_Set_Oinsert @t7 @t49 @t57)) % 34.09/35.01 (define @t343 () (tptp.c_member @t7 @t46 @t342)) % 34.09/35.01 (define @t344 () (tptp.c_member @t7 @t46 @t57)) % 34.09/35.01 (define @t345 () (@list @t49 @t57 @t46 @t7)) % 34.09/35.01 (define @t346 () (tptp.c_member @t7 @t46 (tptp.c_Set_Oinsert @t7 @t49 @t25))) % 34.09/35.01 (define @t347 () (@list @t25 @t49 @t46 @t7)) % 34.09/35.01 (define @t348 () (=> @t59 @t58)) % 34.09/35.01 (define @t349 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t57)) % 34.09/35.01 (define @t350 () (tptp.c_member @t7 @t45 @t349)) % 34.09/35.01 (define @t351 () (tptp.c_Product__Type_OPair @t78 @t7 @t46 @t49)) % 34.09/35.01 (define @t352 () (tptp.c_Set_Oinsert @t7 @t46 @t57)) % 34.09/35.01 (define @t353 () (tptp.c_Set_Oinsert @t7 @t10 @t57)) % 34.09/35.01 (define @t354 () (tptp.c_Set_Oinsert @t7 @t10 @t25)) % 34.09/35.01 (define @t355 () (not @t88)) % 34.09/35.01 (define @t356 () (not @t87)) % 34.09/35.01 (define @t357 () (@list @t57 @t25 @t10 @t7)) % 34.09/35.01 (define @t358 () (tptp.c_Set_Oinsert @t7 @t46 @t25)) % 34.09/35.01 (define @t359 () (@list @t25 @t46 @t7)) % 34.09/35.01 (define @t360 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t354 @t57)) % 34.09/35.01 (define @t361 () (=> @t88 (= @t360 @t349))) % 34.09/35.01 (define @t362 () (@list @t25 @t57 @t10 @t7)) % 34.09/35.01 (define @t363 () (tptp.c_Set_Oinsert @t7 @t65 @t25)) % 34.09/35.01 (define @t364 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t57 @t260)) % 34.09/35.01 (define @t365 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t260)) % 34.09/35.01 (define @t366 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t57 @t25)) % 34.09/35.01 (define @t367 () (@list @t25 @t57 @t7)) % 34.09/35.01 (define @t368 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t366)) % 34.09/35.01 (define @t369 () (@list @t57 @t46 @t25 @t7)) % 34.09/35.01 (define @t370 () (tptp.c_Relation_OField @t7 @t131)) % 34.09/35.01 (define @t371 () (@list @t131 @t12 @t7)) % 34.09/35.01 (define @t372 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 34.09/35.01 (define @t373 () (tptp.c_Set_Oinsert @t7 @t49 @t372)) % 34.09/35.01 (define @t374 () (tptp.c_Set_Oinsert @t7 @t46 @t373)) % 34.09/35.01 (define @t375 () (tptp.c_Wellfounded_Owf @t7 @t12)) % 34.09/35.01 (define @t376 () (@var "B_c" $$unsorted)) % 34.09/35.01 (define @t377 () (not @t54)) % 34.09/35.01 (define @t378 () (tptp.class_Orderings_Opreorder @t7)) % 34.09/35.01 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t57 @t25)) % 34.09/35.01 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t57)) % 34.09/35.01 (define @t381 () (tptp.c_Orderings_Obot__class_Obot @t235)) % 34.09/35.01 (define @t382 () (@var "V_rb_2" $$unsorted)) % 34.09/35.01 (define @t383 () (@var "V_ra_2" $$unsorted)) % 34.09/35.01 (define @t384 () (tptp.c_Set_Oinsert @t7 @t10 @t372)) % 34.09/35.01 (define @t385 () (= @t25 @t372)) % 34.09/35.01 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t12 @t131)) % 34.09/35.01 (define @t387 () (tptp.c_Orderings_Obot__class_Obot @t277)) % 34.09/35.01 (define @t388 () (tptp.c_Orderings_Obot__class_Obot @t274)) % 34.09/35.01 (define @t389 () (tptp.c_Orderings_Obot__class_Obot @t7)) % 34.09/35.01 (define @t390 () (tptp.class_Orderings_Obot @t7)) % 34.09/35.01 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t7 @t78) @t2 @t1)) % 34.09/35.01 (define @t392 () (tptp.class_Orderings_Oord @t78)) % 34.09/35.01 (define @t393 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t315 @t302)) % 34.09/35.01 (define @t394 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t315)) % 34.09/35.01 (define @t395 () (tptp.class_Orderings_Olinorder @t7)) % 34.09/35.01 (define @t396 () (@list @t7 @t57 @t25)) % 34.09/35.01 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t65 @t10)) % 34.09/35.01 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 @t65)) % 34.09/35.01 (define @t399 () (tptp.class_Orderings_Oorder @t7)) % 34.09/35.01 (define @t400 () (tptp.hBOOL (tptp.hAPP @t308 @t10))) % 34.09/35.01 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t96 @t308)) % 34.09/35.01 (define @t402 () (= @t302 @t315)) % 34.09/35.01 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t241 @t321)) % 34.09/35.01 (define @t404 () (= @t241 @t239)) % 34.09/35.01 (define @t405 () (tptp.class_Orderings_Oord @t7)) % 34.09/35.01 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t321 @t241)) % 34.09/35.01 (define @t407 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t260)) % 34.09/35.01 (define @t408 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t57 @t260)) % 34.09/35.01 (define @t409 () (= @t239 @t321)) % 34.09/35.01 (define @t410 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t324)) % 34.09/35.01 (define @t411 () (@list @t302 @t315 @t7)) % 34.09/35.01 (define @t412 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t324 @t302)) % 34.09/35.01 (define @t413 () (@list @t324 @t302 @t315 @t7)) % 34.09/35.01 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t277 @t12 @t131)) % 34.09/35.01 (define @t415 () (@list @t131 @t12 @t78 @t7)) % 34.09/35.01 (define @t416 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t317)) % 34.09/35.01 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t315 @t317)) % 34.09/35.01 (define @t418 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t10 @t65)) % 34.09/35.01 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 @t69)) % 34.09/35.01 (define @t420 () (@list @t69 @t65 @t10 @t7)) % 34.09/35.01 (define @t421 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t313)) % 34.09/35.01 (define @t422 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t241)) % 34.09/35.01 (define @t423 () (@list @t239 @t241 @t302 @t7)) % 34.09/35.01 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t239)) % 34.09/35.01 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t313 @t302)) % 34.09/35.01 (define @t426 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t239 @t302)) % 34.09/35.01 (define @t427 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t241 @t302)) % 34.09/35.01 (define @t428 () (@list @t239 @t302 @t241 @t7)) % 34.09/35.01 (define @t429 () (@var "V_d" $$unsorted)) % 34.09/35.01 (define @t430 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t239 @t429)) % 34.09/35.01 (define @t431 () (@list @t429 @t239 @t321 @t241 @t7)) % 34.09/35.01 (define @t432 () (not @t29)) % 34.09/35.01 (define @t433 () (not @t82)) % 34.09/35.01 (define @t434 () (@var "V_D_2" $$unsorted)) % 34.09/35.01 (define @t435 () (= @t251 @t57)) % 34.09/35.01 (define @t436 () (@list @t57 @t260 @t25 @t7)) % 34.09/35.01 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t57 @t434)) % 34.09/35.01 (define @t438 () (@list @t434 @t57 @t260 @t25 @t7)) % 34.09/35.01 (define @t439 () (@var "V_d_2" $$unsorted)) % 34.09/35.01 (define @t440 () (@list @t439 @t45 @t49 @t46 @t7)) % 34.09/35.01 (define @t441 () (tptp.c_Set_Oinsert @t7 @t46 @t372)) % 34.09/35.01 (define @t442 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t131)) % 34.09/35.01 (define @t443 () (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t172 @t442)) % 34.09/35.01 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t353)) % 34.09/35.01 (define @t445 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t384)) % 34.09/35.01 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t445 @t57)) % 34.09/35.01 (define @t447 () (@list @t57 @t10 @t25 @t7)) % 34.09/35.01 (define @t448 () (tptp.class_Lattices_Obounded__lattice__bot @t7)) % 34.09/35.01 (define @t449 () (= @t49 @t46)) % 34.09/35.01 (define @t450 () (tptp.c_member @t7 @t49 @t441)) % 34.09/35.01 (define @t451 () (@list @t46 @t49 @t7)) % 34.09/35.01 (define @t452 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t352)) % 34.09/35.01 (define @t453 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t441)) % 34.09/35.01 (define @t454 () (tptp.c_Set_Oinsert @t7 @t46 @t453)) % 34.09/35.01 (define @t455 () (tptp.c_Relation_OImage @t7 @t7 @t12 @t373)) % 34.09/35.01 (define @t456 () (tptp.c_Relation_OImage @t7 @t7 @t12 @t441)) % 34.09/35.01 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t456 @t455)) % 34.09/35.01 (define @t458 () (tptp.c_member @t7 @t49 @t341)) % 34.09/35.01 (define @t459 () (tptp.c_member @t7 @t46 @t341)) % 34.09/35.01 (define @t460 () (tptp.c_Order__Relation_Opreorder__on @t7 @t341 @t12)) % 34.09/35.01 (define @t461 () (tptp.tc_fun @t78 tptp.tc_HOL_Obool)) % 34.09/35.01 (define @t462 () (tptp.c_Orderings_Obot__class_Obot @t461)) % 34.09/35.01 (define @t463 () (tptp.c_Relation_OImage @t7 @t78 @t12 @t25)) % 34.09/35.01 (define @t464 () (@var "V_A_H_2" $$unsorted)) % 34.09/35.01 (define @t465 () (@var "V_r_H_2" $$unsorted)) % 34.09/35.01 (define @t466 () (tptp.c_Relation_OImage @t78 @t7 @t93 @t57)) % 34.09/35.01 (define @t467 () (tptp.c_Relation_OImage @t78 @t7 @t93 @t25)) % 34.09/35.01 (define @t468 () (@var "V_X_2" $$unsorted)) % 34.09/35.01 (define @t469 () (tptp.c_member @t78 @t3 @t25)) % 34.09/35.01 (define @t470 () (tptp.c_member @t7 @t49 (tptp.c_Relation_OImage @t78 @t7 @t12 @t25))) % 34.09/35.01 (define @t471 () (@list @t25 @t12 @t78 @t49 @t7)) % 34.09/35.01 (define @t472 () (= @t456 @t455)) % 34.09/35.01 (define @t473 () (=> @t459 (=> @t458 (= @t472 @t84)))) % 34.09/35.01 (define @t474 () (tptp.c_member @t7 @t18 @t57)) % 34.09/35.01 (define @t475 () (@var "V_a4_2" $$unsorted)) % 34.09/35.01 (define @t476 () (@var "V_a3_2" $$unsorted)) % 34.09/35.01 (define @t477 () (@var "V_a5_2" $$unsorted)) % 34.09/35.01 (define @t478 () (tptp.hAPP (tptp.hAPP @t476 @t153) @t477)) % 34.09/35.01 (define @t479 () (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t46 @t49) (tptp.c_Groups_Ominus__class_Ominus @t7 @t45 @t439))) % 34.09/35.01 (define @t480 () (=> @t83 @t54)) % 34.09/35.01 (define @t481 () (tptp.c_Equiv__Relations_Oequiv @t7 @t25 @t12)) % 34.09/35.01 (define @t482 () (@var "V_H_2" $$unsorted)) % 34.09/35.01 (define @t483 () (tptp.c_Recdef_Owfrec @t7 @t78 @t12 @t482)) % 34.09/35.01 (define @t484 () (@list @t49 @t46 @t12 @t25 @t7)) % 34.09/35.01 (define @t485 () (tptp.c_Set_Oinsert @t7 @t65 @t372)) % 34.09/35.01 (define @t486 () (= (tptp.c_Relation_OImage @t7 @t7 @t12 @t384) (tptp.c_Relation_OImage @t7 @t7 @t12 @t485))) % 34.09/35.01 (define @t487 () (@var "B_M" $$unsorted)) % 34.09/35.01 (define @t488 () (tptp.c_Recdef_Owfrec @t7 @t78 @t168 @t487)) % 34.09/35.01 (define @t489 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t57)) % 34.09/35.01 (define @t490 () (tptp.hBOOL (tptp.hAPP @t489 @t10))) % 34.09/35.01 (define @t491 () (tptp.c_member @t7 @t45 @t489)) % 34.09/35.01 (define @t492 () (@var "V_Y_2" $$unsorted)) % 34.09/35.01 (define @t493 () (tptp.c_Equiv__Relations_Oquotient @t7 @t25 @t12)) % 34.09/35.01 (define @t494 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t8 tptp.tc_HOL_Obool))) % 34.09/35.01 (define @t495 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t315)) % 34.09/35.01 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t495 @t302)) % 34.09/35.01 (define @t497 () (tptp.class_Lattices_Osemilattice__inf @t7)) % 34.09/35.01 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t495 @t315)) % 34.09/35.01 (define @t499 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t10 @t65)) % 34.09/35.01 (define @t500 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t241 @t239)) % 34.09/35.01 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t500 @t302)) % 34.09/35.01 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t500)) % 34.09/35.01 (define @t503 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t315 @t324)) % 34.09/35.01 (define @t504 () (@list @t465 @t12 @t7)) % 34.09/35.01 (define @t505 () (= @t489 @t372)) % 34.09/35.01 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t260 @t25)) % 34.09/35.01 (define @t507 () (@list @t57 @t25 @t260 @t7)) % 34.09/35.01 (define @t508 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t317 @t325)) % 34.09/35.01 (define @t509 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t503)) % 34.09/35.01 (define @t510 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t326)) % 34.09/35.01 (define @t511 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t324)) % 34.09/35.01 (define @t512 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t495 @t511)) % 34.09/35.01 (define @t513 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t57 @t260)) % 34.09/35.01 (define @t514 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t352 @t260)) % 34.09/35.01 (define @t515 () (tptp.c_member @t7 @t46 @t260)) % 34.09/35.01 (define @t516 () (=> @t515 (= @t514 (tptp.c_Set_Oinsert @t7 @t46 @t513)))) % 34.09/35.01 (define @t517 () (@list @t57 @t260 @t46 @t7)) % 34.09/35.01 (define @t518 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t352)) % 34.09/35.01 (define @t519 () (=> @t82 (= @t518 (tptp.c_Set_Oinsert @t7 @t46 @t489)))) % 34.09/35.01 (define @t520 () (@list @t57 @t25 @t46 @t7)) % 34.09/35.01 (define @t521 () (=> (not @t515) (= @t514 @t513))) % 34.09/35.01 (define @t522 () (=> @t433 (= @t518 @t489))) % 34.09/35.01 (define @t523 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t262)) % 34.09/35.01 (define @t524 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t315 @t302)) % 34.09/35.01 (define @t525 () (= @t495 @t524)) % 34.09/35.01 (define @t526 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t495) @t495)) % 34.09/35.01 (define @t527 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t241 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t239 @t321))) % 34.09/35.01 (define @t528 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t503)) % 34.09/35.01 (define @t529 () (= @t528 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t315 @t511))) % 34.09/35.01 (define @t530 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t495 @t324) @t528)) % 34.09/35.01 (define @t531 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t57 @t25)) % 34.09/35.01 (define @t532 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t260)) % 34.09/35.01 (define @t533 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t513)) % 34.09/35.01 (define @t534 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t235 @t12 @t131)) % 34.09/35.01 (define @t535 () (tptp.class_Lattices_Odistrib__lattice @t7)) % 34.09/35.01 (define @t536 () (@list @t302 @t324 @t315 @t7)) % 34.09/35.01 (define @t537 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t532 @t513)) % 34.09/35.01 (define @t538 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t260 @t25)) % 34.09/35.01 (define @t539 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t260 @t25)) % 34.09/35.01 (define @t540 () (@list @t25 @t260 @t57 @t7)) % 34.09/35.01 (define @t541 () (@var "T_1" $$unsorted)) % 34.09/35.01 (define @t542 () (@var "T_2" $$unsorted)) % 34.09/35.01 (define @t543 () (tptp.tc_fun @t542 @t541)) % 34.09/35.01 (define @t544 () (tptp.class_Lattices_Obounded__lattice @t541)) % 34.09/35.01 (define @t545 () (@list @t542 @t541)) % 34.09/35.01 (define @t546 () (tptp.class_Lattices_Olattice @t541)) % 34.09/35.01 (define @t547 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t10) @t65))) % 34.09/35.01 (define @t548 () (@list @t65 @t10)) % 34.09/35.01 (define @t549 () (@var "B_P" $$unsorted)) % 34.09/35.01 (define @t550 () (tptp.v_F @t549)) % 34.09/35.01 (define @t551 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t203 @t202)) % 34.09/35.01 (define @t552 () (tptp.c_member @t67 @t551 @t550)) % 34.09/35.01 (define @t553 () (tptp.hAPP @t549 tptp.v_i)) % 34.09/35.01 (define @t554 () (tptp.c_member @t67 @t551 @t553)) % 34.09/35.01 (define @t555 () (=> @t554 @t552)) % 34.09/35.01 (define @t556 () (= @t203 @t202)) % 34.09/35.01 (define @t557 () (not @t556)) % 34.09/35.01 (define @t558 () (forall @t212 (=> @t557 @t555))) % 34.09/35.01 (define @t559 () (tptp.hAPP @t549 @t3)) % 34.09/35.01 (define @t560 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_HOL_Obool))) % 34.09/35.01 (define @t561 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 @t559)) % 34.09/35.01 (define @t562 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t559)) % 34.09/35.01 (define @t563 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t559)) % 34.09/35.01 (define @t564 () (forall @t6 (and @t563 @t562 @t561))) % 34.09/35.01 (define @t565 () (=> @t564 @t558)) % 34.09/35.01 (define @t566 () (@list @t549)) % 34.09/35.01 (define @t567 () (forall @t566 @t565)) % 34.09/35.01 (define @t568 () (tptp.hAPP tptp.v_P @t3)) % 34.09/35.01 (define @t569 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 @t568)) % 34.09/35.01 (define @t570 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t568)) % 34.09/35.01 (define @t571 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t568)) % 34.09/35.01 (define @t572 () (forall @t6 (and @t571 @t570 @t569))) % 34.09/35.01 (define @t573 () (tptp.v_F tptp.v_P)) % 34.09/35.01 (define @t574 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a tptp.v_b)) % 34.09/35.01 (define @t575 () (tptp.c_member @t67 @t574 @t573)) % 34.09/35.01 (define @t576 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t573)) % 34.09/35.01 (define @t577 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t573)) % 34.09/35.01 (define @t578 () (and @t577 @t576 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 @t573))) % 34.09/35.01 (define @t579 () (=> @t572 @t578)) % 34.09/35.01 (define @t580 () (tptp.hAPP tptp.v_P tptp.v_i)) % 34.09/35.01 (define @t581 () (tptp.c_member @t67 @t574 @t580)) % 34.09/35.01 (define @t582 () (@var "BOUND_VARIABLE_10303" $$unsorted)) % 34.09/35.01 (define @t583 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t582 @t3) @t12)) % 34.09/35.01 (define @t584 () (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t582) @t12)) % 34.09/35.01 (define @t585 () (= @t3 @t582)) % 34.09/35.01 (define @t586 () (not (tptp.c_member @t7 @t582 @t25))) % 34.09/35.01 (define @t587 () (or @t586 @t585 @t584 @t583)) % 34.09/35.01 (define @t588 () (or @t432 @t587)) % 34.09/35.01 (define @t589 () (@list @t3 @t582)) % 34.09/35.01 (define @t590 () (forall @t589 @t588)) % 34.09/35.01 (define @t591 () (@list @t582)) % 34.09/35.01 (define @t592 () (forall @t591 @t588)) % 34.09/35.01 (define @t593 () (forall @t591 @t587)) % 34.09/35.01 (define @t594 () (or @t432 @t593)) % 34.09/35.01 (define @t595 () (not @t26)) % 34.09/35.01 (define @t596 () (or @t595 @t22 @t20 @t19)) % 34.09/35.01 (define @t597 () (forall @t27 @t596)) % 34.09/35.01 (define @t598 () (or @t22 @t20 @t19)) % 34.09/35.01 (define @t599 () (forall @t6 @t569)) % 34.09/35.01 (define @t600 () (@list @t3)) % 34.09/35.01 (define @t601 () (@var "BOUND_VARIABLE_12849" $$unsorted)) % 34.09/35.01 (define @t602 () (@list @t601)) % 34.09/35.01 (define @t603 () (forall @t6 @t570)) % 34.09/35.01 (define @t604 () (@var "BOUND_VARIABLE_12843" $$unsorted)) % 34.09/35.01 (define @t605 () (@list @t604)) % 34.09/35.01 (define @t606 () (forall @t6 @t571)) % 34.09/35.01 (define @t607 () (@var "BOUND_VARIABLE_12837" $$unsorted)) % 34.09/35.01 (define @t608 () (@list @t607)) % 34.09/35.01 (define @t609 () (and @t606 @t603 @t599)) % 34.09/35.01 (define @t610 () (forall @t589 (or (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t560)) (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t582 @t560)) @t585 (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t582) @t580) (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t582 @t3) @t580)))) % 34.09/35.01 (define @t611 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 @t580)) % 34.09/35.01 (define @t612 () (= @t611 @t610)) % 34.09/35.01 (define @t613 () (@list false false)) % 34.09/35.01 (define @t614 () (tptp.c_Relation_OId tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.09/35.01 (define @t615 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a (tptp.c_Relation_ORange tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t614))) % 34.09/35.01 (define @t616 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a tptp.v_a)) % 34.09/35.01 (define @t617 () (tptp.c_member @t67 @t616 @t614)) % 34.09/35.01 (define @t618 () (not @t617)) % 34.09/35.01 (define @t619 () (or @t618 @t615)) % 34.09/35.01 (define @t620 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t560)) % 34.09/35.01 (define @t621 () (@var "BOUND_VARIABLE_12823" $$unsorted)) % 34.09/35.01 (define @t622 () (@var "BOUND_VARIABLE_12821" $$unsorted)) % 34.09/35.01 (define @t623 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t622 @t621)) % 34.09/35.01 (define @t624 () (tptp.c_member @t67 @t623 @t550)) % 34.09/35.01 (define @t625 () (not (tptp.c_member @t67 @t623 @t553))) % 34.09/35.01 (define @t626 () (= @t622 @t621)) % 34.09/35.01 (define @t627 () (@var "BOUND_VARIABLE_12801" $$unsorted)) % 34.09/35.01 (define @t628 () (@list @t627)) % 34.09/35.01 (define @t629 () (forall @t628 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 (tptp.hAPP @t549 @t627)))) % 34.09/35.01 (define @t630 () (not @t629)) % 34.09/35.01 (define @t631 () (@var "BOUND_VARIABLE_12795" $$unsorted)) % 34.09/35.01 (define @t632 () (@list @t631)) % 34.09/35.01 (define @t633 () (forall @t632 (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t549 @t631)))) % 34.09/35.01 (define @t634 () (not @t633)) % 34.09/35.01 (define @t635 () (@var "BOUND_VARIABLE_12789" $$unsorted)) % 34.09/35.01 (define @t636 () (@list @t635)) % 34.09/35.01 (define @t637 () (forall @t636 (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t549 @t635)))) % 34.09/35.01 (define @t638 () (not @t637)) % 34.09/35.01 (define @t639 () (or @t638 @t634 @t630 @t626 @t625 @t624)) % 34.09/35.01 (define @t640 () (or @t626 @t625 @t624)) % 34.09/35.01 (define @t641 () (or @t638 @t634 @t630 @t640)) % 34.09/35.01 (define @t642 () (@list @t549 @t622 @t621)) % 34.09/35.01 (define @t643 () (forall @t642 @t641)) % 34.09/35.01 (define @t644 () (@list @t622 @t621)) % 34.09/35.01 (define @t645 () (forall @t644 @t641)) % 34.09/35.01 (define @t646 () (forall @t644 @t640)) % 34.09/35.01 (define @t647 () (or @t638 @t634 @t630 @t646)) % 34.09/35.01 (define @t648 () (not @t554)) % 34.09/35.01 (define @t649 () (or @t556 @t648 @t552)) % 34.09/35.01 (define @t650 () (forall @t212 @t649)) % 34.09/35.01 (define @t651 () (or @t638 @t634 @t630 @t650)) % 34.09/35.01 (define @t652 () (or @t638 @t634 @t630)) % 34.09/35.01 (define @t653 () (and @t637 @t633 @t629)) % 34.09/35.01 (define @t654 () (forall @t6 @t561)) % 34.09/35.01 (define @t655 () (@list @t627)) % 34.09/35.01 (define @t656 () (forall @t6 @t562)) % 34.09/35.01 (define @t657 () (@list @t631)) % 34.09/35.01 (define @t658 () (forall @t6 @t563)) % 34.09/35.01 (define @t659 () (@list @t635)) % 34.09/35.01 (define @t660 () (and @t658 @t656 @t654)) % 34.09/35.01 (define @t661 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b tptp.v_a)) % 34.09/35.01 (define @t662 () (tptp.c_member @t67 @t661 @t573)) % 34.09/35.01 (define @t663 () (tptp.c_member @t67 @t661 @t580)) % 34.09/35.01 (define @t664 () (not @t663)) % 34.09/35.01 (define @t665 () (forall @t628 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 (tptp.hAPP tptp.v_P @t627)))) % 34.09/35.01 (define @t666 () (not @t665)) % 34.09/35.01 (define @t667 () (forall @t632 (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t631)))) % 34.09/35.01 (define @t668 () (not @t667)) % 34.09/35.01 (define @t669 () (forall @t636 (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t635)))) % 34.09/35.01 (define @t670 () (not @t669)) % 34.09/35.01 (define @t671 () (or @t670 @t668 @t666 (= tptp.v_b tptp.v_a) @t664 @t662)) % 34.09/35.01 (define @t672 () (forall @t642 @t639)) % 34.09/35.01 (define @t673 () (= tptp.v_a tptp.v_b)) % 34.09/35.01 (define @t674 () (or @t670 @t668 @t666 @t673 @t664 @t662)) % 34.09/35.01 (define @t675 () (@list false)) % 34.09/35.01 (define @t676 () (forall (@list @t601) (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t560 (tptp.hAPP tptp.v_P @t601)))) % 34.09/35.01 (define @t677 () (forall (@list @t604) (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t604)))) % 34.09/35.01 (define @t678 () (forall (@list @t607) (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t607)))) % 34.09/35.01 (define @t679 () (and @t678 @t677 @t676)) % 34.09/35.01 (define @t680 () (not @t578)) % 34.09/35.01 (define @t681 () (@list @t578)) % 34.09/35.01 (define @t682 () (forall @t6 (not (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t3) @t573)))) % 34.09/35.01 (define @t683 () (= @t576 @t682)) % 34.09/35.01 (define @t684 () (tptp.c_member @t67 @t616 @t573)) % 34.09/35.01 (define @t685 () (not @t673)) % 34.09/35.01 (define @t686 () (not @t575)) % 34.09/35.01 (define @t687 () (not @t684)) % 34.09/35.01 (define @t688 () (not @t51)) % 34.09/35.01 (define @t689 () (not @t44)) % 34.09/35.01 (define @t690 () (or @t377 @t688 @t48)) % 34.09/35.01 (define @t691 () (not @t662)) % 34.09/35.01 (define @t692 () (not @t577)) % 34.09/35.01 (define @t693 () (or @t692 @t686 @t691 @t684)) % 34.09/35.01 (define @t694 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b @t560)) % 34.09/35.01 (define @t695 () (not @t694)) % 34.09/35.01 (define @t696 () (not @t620)) % 34.09/35.01 (define @t697 () (or @t696 @t695 @t673 @t581 @t663)) % 34.09/35.01 (define @t698 () (not @t697)) % 34.09/35.01 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 34.09/35.01 (assume @p2 (forall @t11 (tptp.c_member @t7 @t10 @t9))) % 34.09/35.01 (assume @p3 (forall @t17 (= @t16 (forall @t6 (not @t15))))) % 34.09/35.01 (assume @p4 @t35) % 34.09/35.01 (assume @p5 (forall @t17 (= @t44 @t43))) % 34.09/35.01 (assume @p6 @t56) % 34.09/35.01 (assume @p7 (forall @t11 (tptp.hBOOL (tptp.hAPP @t9 @t10)))) % 34.09/35.01 (assume @p8 (forall (@list @t45 @t7 @t57 @t25) (=> @t63 (=> @t62 (not @t60))))) % 34.09/35.01 (assume @p9 (forall @t76 (= (tptp.c_member @t67 @t66 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t64 @t69)) (and @t75 (=> @t70 @t73) (=> @t71 @t68))))) % 34.09/35.01 (assume @p10 (forall @t76 (= (tptp.c_member @t67 @t66 (tptp.c_Arrow__Order__Mirabelle_Omktop @t64 @t69)) (and @t71 (=> @t74 @t73) (=> @t75 @t68))))) % 34.09/35.01 (assume @p11 (forall @t34 (= (tptp.c_Order__Relation_Ostrict__linear__order__on @t7 @t25 @t12) (and @t44 @t16 @t32)))) % 34.09/35.01 (assume @p12 (forall @t81 (=> @t80 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t79) @t10) @t77)))) % 34.09/35.01 (assume @p13 (forall @t85 (=> @t84 (=> @t83 @t82)))) % 34.09/35.01 (assume @p14 (forall (@list @t25 @t7 @t65 @t10) (=> @t72 (= @t87 @t86)))) % 34.09/35.01 (assume @p15 (forall (@list @t10 @t7 @t57 @t25) (=> @t63 (= @t87 @t88)))) % 34.09/35.01 (assume @p16 (forall @t89 (= (tptp.c_member @t7 @t10 (tptp.c_fequal @t65)) @t72))) % 34.09/35.01 (assume @p17 (forall @t92 (= @t87 @t91))) % 34.09/35.01 (assume @p18 (forall (@list @t65 @t10 @t93 @t78 @t7) (= (tptp.c_FunDef_Oin__rel @t7 @t78 @t93 @t10 @t65) (tptp.c_member @t95 @t94 @t93)))) % 34.09/35.01 (assume @p19 (forall (@list @t7 @t93 @t65 @t98 @t78 @t10 @t96) (=> @t101 (=> (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t78 @t78 @t98 @t65) (tptp.hAPP @t93 @t10)) (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 (tptp.c_Product__Type_OPair @t7 @t78 @t10 @t98) @t94) @t97))))) % 34.09/35.01 (assume @p20 @t106) % 34.09/35.01 (assume @p21 (forall @t85 (=> @t84 (=> @t82 (tptp.c_member @t14 @t53 @t107))))) % 34.09/35.01 (assume @p22 (forall @t109 (= (tptp.c_member @t14 @t108 @t107) (and @t72 @t87)))) % 34.09/35.01 (assume @p23 (forall @t105 (=> @t104 @t111))) % 34.09/35.01 (assume @p24 (forall @t17 (= (tptp.c_Nitpick_Orefl_H @t7 @t12) (forall @t6 @t15)))) % 34.09/35.01 (assume @p25 (forall @t17 (=> @t43 @t44))) % 34.09/35.01 (assume @p26 (forall (@list @t49 @t46 @t64) (=> @t113 (=> (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t46 @t49) @t64) (not (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t49 @t46) @t64)))))) % 34.09/35.01 (assume @p27 (forall (@list @t65 @t10 @t64) (=> @t113 (=> @t73 (= (not @t68) (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t65 @t10) @t64)))))) % 34.09/35.01 (assume @p28 (forall (@list @t2 @t12 @t78 @t65 @t10 @t7) (= (tptp.c_member @t14 @t108 (tptp.c_Relation_Oinv__image @t78 @t7 @t12 @t2)) (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t78 @t78 @t114 (tptp.hAPP @t2 @t65)) @t12)))) % 34.09/35.01 (assume @p29 (forall @t115 (= (tptp.c_Relation_ORange @t7 @t7 @t107) @t25))) % 34.09/35.01 (assume @p30 (forall @t115 (= (tptp.c_Relation_ODomain @t7 @t7 @t107) @t25))) % 34.09/35.01 (assume @p31 (forall @t115 (tptp.c_Relation_Otrans @t7 @t107))) % 34.09/35.01 (assume @p32 (forall @t117 (=> @t44 (tptp.c_Relation_Otrans @t78 @t116)))) % 34.09/35.01 (assume @p33 (forall @t118 (=> @t113 (tptp.c_member @t112 (tptp.c_Arrow__Order__Mirabelle_Omktop @t64 @t10) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 34.09/35.01 (assume @p34 (forall @t118 (=> @t113 (tptp.c_member @t112 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t64 @t10) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 34.09/35.01 (assume @p35 (forall @t121 (= @t111 (exists @t120 @t119)))) % 34.09/35.01 (assume @p36 (forall @t121 (= (tptp.c_member @t7 @t46 @t123) (exists @t120 (tptp.c_member @t122 (tptp.c_Product__Type_OPair @t78 @t7 @t37 @t46) @t12))))) % 34.09/35.01 (assume @p37 (forall @t128 (=> @t127 (=> @t113 (= (tptp.c_member @t67 @t66 (tptp.c_Arrow__Order__Mirabelle_Oabove @t64 @t46 @t49)) (and @t73 (=> @t126 (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t46 @t65) @t64)) (=> (not @t126) (and (=> @t124 (or @t125 (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t46) @t64))) (=> (not @t124) @t68))))))))) % 34.09/35.01 (assume @p38 (forall @t128 (=> @t127 (=> @t113 (= (tptp.c_member @t67 @t66 (tptp.c_Arrow__Order__Mirabelle_Obelow @t64 @t46 @t49)) (and @t73 (=> @t129 (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t49) @t64)) (=> (not @t129) (and (=> @t125 (or @t124 (tptp.c_member @t67 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t49 @t65) @t64))) (=> (not @t125) @t68))))))))) % 34.09/35.01 (assume @p39 (forall @t130 (=> @t73 (=> @t113 (tptp.c_member @t112 (tptp.c_Arrow__Order__Mirabelle_Oabove @t64 @t10 @t65) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 34.09/35.01 (assume @p40 (forall @t130 (=> @t73 (=> @t113 (tptp.c_member @t112 (tptp.c_Arrow__Order__Mirabelle_Obelow @t64 @t10 @t65) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 34.09/35.01 (assume @p41 (forall (@list @t131 @t12 @t132 @t133 @t49 @t46 @t78 @t7) (= (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t103 @t135) (tptp.c_Wellfounded_Olex__prod @t7 @t78 @t12 @t131)) (or (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t133) @t12) (and @t134 (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t78 @t78 @t49 @t132) @t131)))))) % 34.09/35.01 (assume @p42 (forall (@list @t25 @t45 @t7) (=> (tptp.c_member @t14 @t45 @t107) (not (forall @t6 (=> @t29 (not (= @t45 @t13)))))))) % 34.09/35.01 (assume @p43 (forall (@list @t12 @t78 @t49 @t7) (=> (tptp.c_member @t7 @t49 @t123) (not (forall @t6 (not @t136)))))) % 34.09/35.01 (assume @p44 (forall @t121 (=> @t111 (not (forall @t120 (not @t119)))))) % 34.09/35.01 (assume @p45 (forall @t140 (=> @t139 (=> @t82 @t138)))) % 34.09/35.01 (assume @p46 (forall @t142 (=> @t139 (=> @t141 @t87)))) % 34.09/35.01 (assume @p47 (forall (@list @t143 @t78 @t144 @t7) (=> (tptp.c_Relation_Otrans @t7 @t144) (=> (tptp.c_Relation_Otrans @t78 @t143) (tptp.c_Relation_Otrans @t95 (tptp.c_Wellfounded_Olex__prod @t7 @t78 @t144 @t143)))))) % 34.09/35.01 (assume @p48 (forall @t115 (tptp.c_Relation_Orefl__on @t7 @t25 @t107))) % 34.09/35.01 (assume @p49 (forall @t142 (=> @t139 (=> @t141 @t86)))) % 34.09/35.01 (assume @p50 (forall @t34 (= @t145 (and @t139 @t44)))) % 34.09/35.01 (assume @p51 (forall (@list @t46 @t12 @t49 @t7) (=> @t148 (=> @t54 @t147)))) % 34.09/35.01 (assume @p52 (forall @t150 (= @t147 (forall @t6 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t46) @t12) @t149))))) % 34.09/35.01 (assume @p53 (forall @t159 (= (tptp.c_Recdef_Owfrec__rel @t7 @t78 @t93 @t152 @t153 @t157) (exists @t158 (and (= @t157 @t155) @t154))))) % 34.09/35.01 (assume @p54 (forall (@list @t69 @t65 @t10 @t12 @t78 @t7) (=> @t160 (=> (tptp.c_member @t95 @t94 @t12) (=> (tptp.c_member @t95 (tptp.c_Product__Type_OPair @t7 @t78 @t10 @t69) @t12) @t74))))) % 34.09/35.01 (assume @p55 (forall @t162 (= @t160 @t161))) % 34.09/35.01 (assume @p56 (forall (@list @t2 @t78 @t12 @t46 @t10 @t7) (=> @t165 (= (tptp.hAPP @t163 @t10) @t114)))) % 34.09/35.01 (assume @p57 (forall (@list @t1 @t10 @t12 @t2 @t78 @t7) (= (= (tptp.c_Recdef_Ocut @t7 @t78 @t2 @t12 @t10) (tptp.c_Recdef_Ocut @t7 @t78 @t1 @t12 @t10)) (forall @t120 (=> @t166 (= (tptp.hAPP @t2 @t37) (tptp.hAPP @t1 @t37))))))) % 34.09/35.01 (assume @p58 (forall (@list @t78 @t46 @t10 @t7 @t167 @t168) (=> (tptp.c_member @t14 @t164 @t168) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t7 @t78 @t167 @t168 @t46) @t10) (tptp.hAPP @t167 @t10))))) % 34.09/35.01 (assume @p59 (forall @t115 (tptp.c_Relation_Osingle__valued @t7 @t7 @t107))) % 34.09/35.01 (assume @p60 (forall (@list @t12 @t10 @t7) (=> (forall @t120 (=> @t166 (tptp.c_member @t7 @t37 @t146))) @t169))) % 34.09/35.01 (assume @p61 (forall (@list @t93 @t10 @t7) (=> (not (tptp.c_member @t7 @t10 @t170)) (not (forall @t39 (=> @t171 (tptp.c_member @t7 @t36 @t170))))))) % 34.09/35.01 (assume @p62 (forall @t159 (= (tptp.c_Recdef_Owfrec__rel @t7 @t78 @t93 @t152 @t153 @t156) (exists @t158 (and (= @t156 @t155) @t154))))) % 34.09/35.01 (assume @p63 (forall (@list @t1 @t152 @t78 @t93 @t10 @t7) (=> (forall @t39 (=> @t171 (tptp.c_Recdef_Owfrec__rel @t7 @t78 @t93 @t152 @t36 (tptp.hAPP @t1 @t36)))) (tptp.c_Recdef_Owfrec__rel @t7 @t78 @t93 @t152 @t10 (tptp.hAPP (tptp.hAPP @t152 @t1) @t10))))) % 34.09/35.01 (assume @p64 (forall @t162 (=> @t161 @t160))) % 34.09/35.01 (assume @p65 (forall (@list @t49 @t12 @t46 @t7) (=> @t147 (=> @t174 @t148)))) % 34.09/35.01 (assume @p66 (forall (@list @t12 @t46 @t49 @t7) (=> @t174 (=> @t147 @t148)))) % 34.09/35.01 (assume @p67 (forall (@list @t10 @t152 @t93 @t7 @t78) (= (tptp.c_Nitpick_Owf__wfrec_H @t78 @t7 @t93 @t152 @t10) (tptp.hAPP (tptp.hAPP @t152 (tptp.c_Recdef_Ocut @t78 @t7 (tptp.c_Nitpick_Owf__wfrec @t78 @t7 @t93 @t152) @t93 @t10)) @t10)))) % 34.09/35.01 (assume @p68 (forall @t176 (tptp.c_member @t14 @t137 @t175))) % 34.09/35.01 (assume @p69 (forall @t177 (tptp.c_Relation_Otrans @t7 @t175))) % 34.09/35.01 (assume @p70 (forall @t177 (tptp.c_Relation_Osingle__valued @t7 @t7 @t175))) % 34.09/35.01 (assume @p71 (forall @t178 (= (tptp.c_member @t14 @t53 @t175) @t84))) % 34.09/35.01 (assume @p72 (forall @t177 (= (tptp.c_Relation_ODomain @t7 @t7 @t175) @t9))) % 34.09/35.01 (assume @p73 @t180) % 34.09/35.01 (assume @p74 (forall @t177 (tptp.c_Relation_Orefl__on @t7 @t9 @t175))) % 34.09/35.01 (assume @p75 (forall @t150 (tptp.c_member @t14 @t137 @t172))) % 34.09/35.01 (assume @p76 (forall @t183 (=> @t182 (tptp.c_member @t14 @t181 @t172)))) % 34.09/35.01 (assume @p77 (forall (@list @t65 @t93 @t10 @t7) (=> (not (tptp.c_member @t7 @t10 (tptp.c_Relation_ODomain @t7 @t7 @t93))) (= @t185 @t72)))) % 34.09/35.01 (assume @p78 (forall (@list @t69 @t65 @t10 @t12 @t7) (=> (tptp.c_Relation_Osingle__valued @t7 @t7 @t12) (=> @t189 (=> @t188 (or (tptp.c_member @t14 @t186 @t172) (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t69 @t65) @t172))))))) % 34.09/35.01 (assume @p79 (forall @t17 (tptp.c_Relation_Orefl__on @t7 @t9 @t172))) % 34.09/35.01 (assume @p80 (forall @t190 (= (tptp.c_Relation_ORange @t7 @t7 @t184) @t9))) % 34.09/35.01 (assume @p81 (forall @t190 (= (tptp.c_Relation_ODomain @t7 @t7 @t184) @t9))) % 34.09/35.01 (assume @p82 (forall @t195 (=> @t194 @t193))) % 34.09/35.01 (assume @p83 (forall @t195 (=> @t194 (=> @t51 @t191)))) % 34.09/35.01 (assume @p84 (forall @t17 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t172) @t172))) % 34.09/35.01 (assume @p85 (forall @t17 (tptp.c_Relation_Otrans @t7 @t172))) % 34.09/35.01 (assume @p86 (forall @t195 (=> @t54 @t193))) % 34.09/35.01 (assume @p87 (forall (@list @t181 @t7) (=> (tptp.c_member @t14 @t181 @t175) (not (forall @t6 (not (= @t181 @t13))))))) % 34.09/35.01 (assume @p88 (forall @t216 (=> @t215 (=> @t213 (=> (forall @t212 (=> (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t211 @t206) @t208) (forall (@list @t200 @t199) (=> @t207 (=> @t204 @t201))))) @t198))))) % 34.09/35.01 (assume @p89 (forall @t216 (=> @t215 (=> @t198 (=> (forall (@list @t203 @t202 @t200 @t199) (=> @t207 (=> (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t205 @t214) @t208) (=> @t201 @t204)))) @t213))))) % 34.09/35.01 (assume @p90 (forall (@list @t12 @t217 @t218 @t220 @t221 @t78 @t7) (=> (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t222 @t219) @t208) (=> (not (= @t222 @t219)) (not (forall @t212 (=> (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t222 @t206) @t12) (not (tptp.c_member @t99 (tptp.c_Product__Type_OPair @t95 @t95 @t206 @t219) @t208))))))))) % 34.09/35.01 (assume @p91 (forall @t228 (=> @t194 (=> @t227 (=> (forall @t120 (=> @t226 (forall @t39 (=> @t38 (=> @t225 @t224))))) @t223))))) % 34.09/35.01 (assume @p92 (forall @t228 (=> @t194 (=> @t223 (=> (forall (@list @t37 @t36) (=> @t38 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t36 @t49) @t172) (=> @t224 @t225)))) @t227))))) % 34.09/35.01 (assume @p93 (forall @t231 (=> @t188 (=> @t71 (not (forall @t120 (=> @t230 (not (tptp.c_member @t14 @t229 @t172))))))))) % 34.09/35.01 (assume @p94 (forall @t232 (=> @t194 (=> @t127 (not (forall @t120 (=> @t226 (not (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t49) @t12))))))))) % 34.09/35.01 (assume @p95 (forall @t232 (=> @t234 @t194))) % 34.09/35.01 (assume @p96 (forall @t17 (tptp.c_Relation_Orefl__on @t7 @t9 @t236))) % 34.09/35.01 (assume @p97 (exists (@list @t237) (tptp.c_member @t112 @t237 tptp.c_Arrow__Order__Mirabelle_OLin))) % 34.09/35.01 (assume @p98 (forall (@list @t238 @t240 @t239 @t241 @t78 @t7) (=> (= (tptp.c_Product__Type_OPair @t7 @t78 @t241 @t239) (tptp.c_Product__Type_OPair @t7 @t78 @t240 @t238)) (not (=> (= @t241 @t240) (not (= @t239 @t238))))))) % 34.09/35.01 (assume @p99 (forall (@list @t132 @t133 @t49 @t46 @t78 @t7) (= (= @t103 @t135) (and @t134 (= @t49 @t132))))) % 34.09/35.01 (assume @p100 (forall (@list @t78 @t7 @t96) (= (forall (@list @t242) (tptp.hBOOL (tptp.hAPP @t96 @t242))) (forall @t212 (tptp.hBOOL (tptp.hAPP @t96 @t206)))))) % 34.09/35.01 (assume @p101 (forall @t245 (=> @t244 (=> @t54 (=> @t243 @t84))))) % 34.09/35.01 (assume @p102 (forall @t17 (= @t244 @t248))) % 34.09/35.01 (assume @p103 (forall @t253 (=> @t252 (=> (not @t91) @t250)))) % 34.09/35.01 (assume @p104 (forall (@list @t7 @t25 @t10 @t57) (=> (=> @t254 @t91) @t252))) % 34.09/35.01 (assume @p105 (forall @t256 (=> @t255 @t60))) % 34.09/35.01 (assume @p106 (forall @t257 (=> (=> @t61 @t59) @t255))) % 34.09/35.01 (assume @p107 (forall @t232 (=> @t54 @t234))) % 34.09/35.01 (assume @p108 (forall @t17 (= (tptp.c_Relation_Oantisym @t7 @t236) @t244))) % 34.09/35.01 (assume @p109 (forall @t115 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t25) @t25))) % 34.09/35.01 (assume @p110 (forall @t259 (= @t251 @t258))) % 34.09/35.01 (assume @p111 (forall @t259 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t251) @t251))) % 34.09/35.01 (assume @p112 (forall @t264 (= @t263 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t57 @t261)))) % 34.09/35.01 (assume @p113 (forall @t264 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t251 @t260) @t263))) % 34.09/35.01 (assume @p114 (forall @t268 (= (exists @t6 (and @t267 @t265)) (or (exists @t6 (and @t29 @t265)) (exists @t6 (and @t266 @t265)))))) % 34.09/35.01 (assume @p115 (forall @t268 (= (forall @t6 (=> @t267 @t265)) (and (forall @t6 (=> @t29 @t265)) (forall @t6 (=> @t266 @t265)))))) % 34.09/35.01 (assume @p116 (forall (@list @t57 @t7 @t10 @t25) (=> @t91 @t252))) % 34.09/35.01 (assume @p117 (forall (@list @t25 @t7 @t10 @t57) (=> @t250 @t252))) % 34.09/35.01 (assume @p118 (forall @t271 (=> @t139 (=> @t270 (tptp.c_Relation_Orefl__on @t7 @t251 @t269))))) % 34.09/35.01 (assume @p119 (forall (@list @t57 @t25 @t7 @t78) (= (tptp.c_Relation_ORange @t78 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t274 @t25 @t57)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t273 @t272)))) % 34.09/35.01 (assume @p120 (forall @t278 (= (tptp.c_Relation_ODomain @t7 @t78 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t277 @t25 @t57)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t276 @t275)))) % 34.09/35.01 (assume @p121 (forall @t17 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t233 @t175) @t172))) % 34.09/35.01 (assume @p122 (forall @t17 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t236) @t172))) % 34.09/35.01 (assume @p123 (forall @t256 (= @t255 (or @t59 @t58)))) % 34.09/35.01 (assume @p124 (forall @t256 (=> @t59 @t255))) % 34.09/35.01 (assume @p125 (forall @t257 (=> @t58 @t255))) % 34.09/35.01 (assume @p126 (forall @t183 (=> @t182 @t279))) % 34.09/35.01 (assume @p127 (forall @t280 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t9 @t57) @t9))) % 34.09/35.01 (assume @p128 (forall @t115 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t9) @t9))) % 34.09/35.01 (assume @p129 (forall @t190 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t184) @t184))) % 34.09/35.01 (assume @p130 (forall @t190 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t281) @t184))) % 34.09/35.01 (assume @p131 (forall @t286 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t285) @t283))) % 34.09/35.01 (assume @p132 (forall @t17 (= (tptp.c_Relation_ODomain @t7 @t7 @t233) @t287))) % 34.09/35.01 (assume @p133 (forall @t17 (tptp.c_Relation_Otrans @t7 @t233))) % 34.09/35.01 (assume @p134 (forall @t17 (=> @t44 (= @t233 @t12)))) % 34.09/35.01 (assume @p135 (forall @t17 (= (tptp.c_Relation_ORange @t7 @t7 @t233) @t288))) % 34.09/35.01 (assume @p136 (forall (@list @t45 @t93 @t49 @t46 @t7) (=> (tptp.c_member @t14 @t53 @t93) (=> (tptp.c_member @t14 @t50 @t93) (tptp.c_member @t14 @t47 @t281))))) % 34.09/35.01 (assume @p137 (forall @t195 (=> @t54 @t290))) % 34.09/35.01 (assume @p138 (forall @t195 (=> @t234 @t291))) % 34.09/35.01 (assume @p139 (forall @t195 (=> @t234 @t290))) % 34.09/35.01 (assume @p140 (forall @t177 (tptp.c_Relation_Oantisym @t7 @t175))) % 34.09/35.01 (assume @p141 (forall (@list @t282 @t93 @t10 @t7) (=> (or (tptp.c_member @t14 @t10 @t184) (tptp.c_member @t14 @t10 @t284)) (tptp.c_member @t14 @t10 @t283)))) % 34.09/35.01 (assume @p142 (forall @t115 (tptp.c_Relation_Oantisym @t7 @t107))) % 34.09/35.01 (assume @p143 (forall @t190 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t184 @t175) @t184))) % 34.09/35.01 (assume @p144 (forall @t190 (= (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t235 @t93 @t175)) @t184))) % 34.09/35.01 (assume @p145 (forall @t17 (=> @t44 (tptp.c_Relation_Otrans @t7 @t236)))) % 34.09/35.01 (assume @p146 (forall @t293 (= @t185 (or @t72 (and @t73 @t292))))) % 34.09/35.01 (assume @p147 (forall @t195 (=> @t54 @t294))) % 34.09/35.01 (assume @p148 (forall (@list @t93 @t49 @t46 @t7) (=> (tptp.c_member @t14 @t53 @t184) (or @t84 (and @t127 (tptp.c_member @t14 @t53 @t281)))))) % 34.09/35.01 (assume @p149 (forall @t195 (=> @t194 @t291))) % 34.09/35.01 (assume @p150 (forall @t195 (=> @t234 @t294))) % 34.09/35.01 (assume @p151 (forall (@list @t69 @t12 @t65 @t10 @t7) (=> @t189 (=> (tptp.c_member @t14 @t186 @t233) @t295)))) % 34.09/35.01 (assume @p152 (forall (@list @t49 @t46 @t296 @t7 @t297 @t78) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t78 @t297 @t7 @t296 @t298) (tptp.hAPP (tptp.hAPP @t296 @t46) @t49)))) % 34.09/35.01 (assume @p153 (forall @t301 (=> @t300 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t79 @t2 @t1) @t10) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t114 @t299))))) % 34.09/35.02 (assume @p154 (forall @t304 (=> @t303 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t77) @t77)))) % 34.09/35.02 (assume @p155 (forall @t304 (=> @t303 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t77 @t302) @t77)))) % 34.09/35.02 (assume @p156 (forall @t34 (= @t305 (and @t145 @t244)))) % 34.09/35.02 (assume @p157 (forall @t310 (=> @t309 (=> (forall @t6 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t49) @t306) (forall @t120 (=> (tptp.c_member @t14 @t247 @t308) (= @t37 @t3))))) @t307)))) % 34.09/35.02 (assume @p158 (forall @t310 (=> @t309 (=> (forall @t6 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t3) @t306) (forall @t120 (=> (tptp.c_member @t14 @t40 @t308) @t246)))) @t307)))) % 34.09/35.02 (assume @p159 (forall @t312 (=> @t311 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t241 @t241) @t241)))) % 34.09/35.02 (assume @p160 (forall @t304 (=> @t311 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t302) @t302)))) % 34.09/35.02 (assume @p161 (forall @t314 (=> @t311 (= @t313 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t239 @t241))))) % 34.09/35.02 (assume @p162 (forall @t319 (=> @t300 @t318))) % 34.09/35.02 (assume @p163 (forall @t319 (=> @t311 @t318))) % 34.09/35.02 (assume @p164 (forall @t314 (=> @t311 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t241 @t313) @t313)))) % 34.09/35.02 (assume @p165 (forall @t319 (=> @t300 @t320))) % 34.09/35.02 (assume @p166 (forall @t319 (=> @t311 @t320))) % 34.09/35.02 (assume @p167 (forall @t323 (=> @t311 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t239 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t241 @t321)) @t322)))) % 34.09/35.02 (assume @p168 (forall @t329 (=> @t300 @t328))) % 34.09/35.02 (assume @p169 (forall @t329 (=> @t311 @t328))) % 34.09/35.02 (assume @p170 (forall @t330 (=> @t311 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t313 @t321) @t322)))) % 34.09/35.02 (assume @p171 (forall @t329 (=> @t300 @t331))) % 34.09/35.02 (assume @p172 (forall @t329 (=> @t311 @t331))) % 34.09/35.02 (assume @p173 (forall @t34 (= @t332 (and @t305 @t32)))) % 34.09/35.02 (assume @p174 (forall @t293 (=> @t292 (exists @t39 (and (tptp.c_member @t14 @t334 @t93) (tptp.c_member @t14 @t333 @t184)))))) % 34.09/35.02 (assume @p175 (forall @t293 (=> @t292 (exists @t39 (and (tptp.c_member @t14 @t334 @t184) (tptp.c_member @t14 @t333 @t93)))))) % 34.09/35.02 (assume @p176 (forall @t17 (= @t336 @t335))) % 34.09/35.02 (assume @p177 (forall (@list @t49 @t46 @t45 @t7 @t297 @t78) (= (tptp.c_Product__Type_Ointernal__split @t78 @t297 @t7 @t45 @t298) (tptp.hAPP (tptp.hAPP @t45 @t46) @t49)))) % 34.09/35.02 (assume @p178 (forall @t17 (=> @t248 @t244))) % 34.09/35.02 (assume @p179 (forall @t17 (=> @t336 (tptp.c_Relation_Oantisym @t7 @t172)))) % 34.09/35.02 (assume @p180 (forall @t17 (=> @t335 @t336))) % 34.09/35.02 (assume @p181 (forall @t34 (=> @t332 (tptp.c_Order__Relation_Ostrict__linear__order__on @t7 @t25 @t337)))) % 34.09/35.02 (assume @p182 (forall @t340 (= (tptp.c_Wellfounded_Oacyclic @t7 @t339) (and @t336 @t338)))) % 34.09/35.02 (assume @p183 (forall @t17 (= @t341 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t287 @t288)))) % 34.09/35.02 (assume @p184 (forall (@list @t65 @t10 @t12 @t7) (=> @t335 (=> @t141 @t73)))) % 34.09/35.02 (assume @p185 (forall @t345 (=> (=> (not @t344) @t84) @t343))) % 34.09/35.02 (assume @p186 (forall @t347 (=> @t346 (=> @t127 @t82)))) % 34.09/35.02 (assume @p187 (forall @t256 (=> @t350 (not @t348)))) % 34.09/35.02 (assume @p188 (forall @t256 (=> @t59 (=> @t61 @t350)))) % 34.09/35.02 (assume @p189 (forall @t105 (= (tptp.c_Relation_ODomain @t7 @t78 (tptp.c_Set_Oinsert @t95 @t103 @t12)) (tptp.c_Set_Oinsert @t7 @t46 @t110)))) % 34.09/35.02 (assume @p190 (forall (@list @t12 @t49 @t46 @t7 @t78) (= (tptp.c_Relation_ORange @t78 @t7 (tptp.c_Set_Oinsert @t122 @t351 @t12)) (tptp.c_Set_Oinsert @t7 @t49 @t123)))) % 34.09/35.02 (assume @p191 (forall @t256 (= @t350 (and @t59 @t61)))) % 34.09/35.02 (assume @p192 (forall @t256 (=> @t350 @t59))) % 34.09/35.02 (assume @p193 (forall @t256 (=> @t350 @t61))) % 34.09/35.02 (assume @p194 (forall (@list @t57 @t46 @t7) (tptp.c_member @t7 @t46 @t352))) % 34.09/35.02 (assume @p195 (forall @t347 (= @t346 (or @t84 @t82)))) % 34.09/35.02 (assume @p196 (forall @t357 (=> @t356 (=> @t355 (= (= @t354 @t353) @t63))))) % 34.09/35.02 (assume @p197 (forall @t345 (=> @t344 @t343))) % 34.09/35.02 (assume @p198 (forall @t359 (=> @t82 (= @t358 @t25)))) % 34.09/35.02 (assume @p199 (forall @t362 @t361)) % 34.09/35.02 (assume @p200 (forall @t362 (and @t361 (=> @t355 (= @t360 (tptp.c_Set_Oinsert @t7 @t10 @t349)))))) % 34.09/35.02 (assume @p201 (forall (@list @t10 @t25 @t65 @t7) (= (tptp.hBOOL (tptp.hAPP @t363 @t10)) (or (= @t65 @t10) @t91)))) % 34.09/35.02 (assume @p202 (forall @t259 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t349 @t57) @t349))) % 34.09/35.02 (assume @p203 (forall @t109 (= (tptp.c_Set_Oinsert @t7 @t10 @t363) (tptp.c_Set_Oinsert @t7 @t65 @t354)))) % 34.09/35.02 (assume @p204 (forall @t92 (= (tptp.c_Set_Oinsert @t7 @t10 @t354) @t354))) % 34.09/35.02 (assume @p205 (forall (@list @t10 @t57 @t25 @t78 @t7) (=> (tptp.class_Groups_Ominus @t7) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t79 @t25 @t57) @t10) (tptp.c_Groups_Ominus__class_Ominus @t7 @t90 @t249))))) % 34.09/35.02 (assume @p206 (forall @t264 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t251 @t260) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t365 @t364)))) % 34.09/35.02 (assume @p207 (forall @t367 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t366 @t25) @t258))) % 34.09/35.02 (assume @p208 (forall @t259 (= @t368 @t251))) % 34.09/35.02 (assume @p209 (forall (@list @t260 @t57 @t46 @t7) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t352 @t260) (tptp.c_Set_Oinsert @t7 @t46 @t262)))) % 34.09/35.02 (assume @p210 (forall @t369 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t352) (tptp.c_Set_Oinsert @t7 @t46 @t251)))) % 34.09/35.02 (assume @p211 (forall @t17 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t337) @t172))) % 34.09/35.02 (assume @p212 (forall @t34 (= (tptp.c_Relation_Ototal__on @t7 @t25 @t337) @t32))) % 34.09/35.02 (assume @p213 (forall @t371 (= (tptp.c_Relation_OField @t7 @t269) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t341 @t370)))) % 34.09/35.02 (assume @p214 (forall @t17 (tptp.c_Relation_Oirrefl @t7 @t337))) % 34.09/35.02 (assume @p215 (forall @t17 (=> @t44 (=> @t244 (tptp.c_Relation_Otrans @t7 @t337))))) % 34.09/35.02 (assume @p216 (forall @t232 (= (tptp.c_Relation_OField @t7 (tptp.c_Set_Oinsert @t14 @t53 @t12)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t374 @t341)))) % 34.09/35.02 (assume @p217 (forall @t340 (= (tptp.c_Wellfounded_Owf @t7 @t339) (and @t375 @t338)))) % 34.09/35.02 (assume @p218 (forall @t232 (=> @t234 (=> @t377 (not (forall (@list @t376) (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t376) @t233) (not (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t376 @t49) @t12))))))))) % 34.09/35.02 (assume @p219 (forall @t231 (=> @t295 (=> (not (tptp.c_member @t14 @t187 @t12)) (not (forall @t120 (=> @t230 (not (tptp.c_member @t14 @t229 @t233))))))))) % 34.09/35.02 (assume @p220 (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t273 @t272) (tptp.c_Relation_ORange @t78 @t7 (tptp.c_Groups_Ominus__class_Ominus @t274 @t25 @t57))))) % 34.09/35.02 (assume @p221 (forall @t304 (=> @t378 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t302)))) % 34.09/35.02 (assume @p222 (forall @t259 (=> @t380 (=> @t379 @t63)))) % 34.09/35.02 (assume @p223 (forall @t177 (tptp.c_Wellfounded_Owf @t7 @t381))) % 34.09/35.02 (assume @p224 (forall @t176 (not (tptp.c_member @t7 @t46 @t372)))) % 34.09/35.02 (assume @p225 (forall (@list @t45 @t57 @t25 @t7) (=> @t380 @t348))) % 34.09/35.02 (assume @p226 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t372 @t25))) % 34.09/35.02 (assume @p227 (forall @t117 (=> @t375 (tptp.c_Wellfounded_Owf @t78 @t116)))) % 34.09/35.02 (assume @p228 (forall (@list @t382 @t78 @t383 @t7) (=> (tptp.c_Wellfounded_Owf @t7 @t383) (=> (tptp.c_Wellfounded_Owf @t78 @t382) (tptp.c_Wellfounded_Owf @t95 (tptp.c_Wellfounded_Olex__prod @t7 @t78 @t383 @t382)))))) % 34.09/35.02 (assume @p229 (forall (@list @t10 @t25 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t384) (or @t385 (= @t25 @t384))))) % 34.09/35.02 (assume @p230 (forall @t371 (=> @t386 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t341 @t370)))) % 34.09/35.02 (assume @p231 (forall @t177 (= (tptp.c_Relation_OField @t7 @t381) @t372))) % 34.09/35.02 (assume @p232 (forall @t253 (=> @t380 (=> @t87 @t88)))) % 34.09/35.02 (assume @p233 (forall @t357 (=> @t87 (=> @t380 @t88)))) % 34.09/35.02 (assume @p234 (forall @t177 (tptp.c_Order__Relation_Opartial__order__on @t7 @t372 @t381))) % 34.09/35.02 (assume @p235 (forall @t177 (tptp.c_Order__Relation_Opreorder__on @t7 @t372 @t381))) % 34.09/35.02 (assume @p236 (forall (@list @t143 @t144 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t144 @t143) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Wellfounded_Oacc @t7 @t143) (tptp.c_Wellfounded_Oacc @t7 @t144))))) % 34.09/35.02 (assume @p237 (forall @t162 (= (= @t110 @t372) (= @t12 @t387)))) % 34.09/35.02 (assume @p238 (forall (@list @t78 @t7) (= (tptp.c_Relation_ODomain @t7 @t78 @t387) @t372))) % 34.09/35.02 (assume @p239 (forall (@list @t12 @t7 @t78) (= (= @t123 @t372) (= @t12 @t388)))) % 34.09/35.02 (assume @p240 (forall (@list @t7 @t78) (= (tptp.c_Relation_ORange @t78 @t7 @t388) @t372))) % 34.09/35.02 (assume @p241 (forall @t177 (tptp.c_Relation_Orefl__on @t7 @t372 @t381))) % 34.09/35.02 (assume @p242 (forall (@list @t181 @t12 @t7) (=> @t375 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t181 @t12) (tptp.c_Wellfounded_Owf @t7 @t181))))) % 34.09/35.02 (assume @p243 (forall @t304 (=> @t390 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t389 @t302)))) % 34.09/35.02 (assume @p244 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t25))) % 34.09/35.02 (assume @p245 (forall @t81 (=> @t390 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t79) @t10) @t389)))) % 34.09/35.02 (assume @p246 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t372) @t385))) % 34.09/35.02 (assume @p247 (forall (@list @t1 @t2 @t7 @t78) (=> @t392 (= @t391 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t78 @t5 @t4)))))) % 34.09/35.02 (assume @p248 (forall @t319 (=> @t395 (or @t394 @t393)))) % 34.09/35.02 (assume @p249 (forall @t396 (= @t63 (and @t380 @t379)))) % 34.09/35.02 (assume @p250 (forall @t89 (=> @t399 (= @t72 (and @t398 @t397))))) % 34.09/35.02 (assume @p251 (forall (@list @t308 @t7 @t10 @t96) (=> @t101 (=> @t401 @t400)))) % 34.09/35.02 (assume @p252 (forall @t396 (=> @t63 @t380))) % 34.09/35.02 (assume @p253 (forall @t396 (=> @t63 @t379))) % 34.09/35.02 (assume @p254 (forall @t319 (=> @t378 (=> @t402 @t394)))) % 34.09/35.02 (assume @p255 (forall (@list @t10 @t1 @t2 @t7 @t78) (=> @t392 (=> @t391 (tptp.c_Orderings_Oord__class_Oless__eq @t78 @t114 @t299))))) % 34.09/35.02 (assume @p256 (forall (@list @t10 @t65 @t7) (=> @t399 (=> @t397 (= @t398 @t72))))) % 34.09/35.02 (assume @p257 (forall (@list @t10 @t308 @t96 @t7) (=> @t401 (=> @t101 @t400)))) % 34.09/35.02 (assume @p258 (forall @t330 (=> @t405 (=> @t404 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t239 @t321) @t403))))) % 34.09/35.02 (assume @p259 (forall @t330 (=> @t399 (=> @t404 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t321 @t239) @t406))))) % 34.09/35.02 (assume @p260 (forall @t264 (=> @t380 (=> @t408 @t407)))) % 34.09/35.02 (assume @p261 (forall @t330 (=> @t405 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t241 @t239) (=> @t409 @t403))))) % 34.09/35.02 (assume @p262 (forall @t323 (=> @t399 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t239 @t241) (=> @t409 @t406))))) % 34.09/35.02 (assume @p263 (forall @t319 (=> @t399 (=> @t394 (=> @t393 @t402))))) % 34.09/35.02 (assume @p264 (forall @t329 (=> @t378 (=> @t394 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t315 @t324) @t410))))) % 34.09/35.02 (assume @p265 (forall @t411 (=> @t399 (=> @t393 (=> @t394 @t402))))) % 34.09/35.02 (assume @p266 (forall @t413 (=> @t399 (=> @t393 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t324 @t315) @t412))))) % 34.09/35.02 (assume @p267 (forall @t396 (=> @t63 (not (=> @t380 (not @t379)))))) % 34.09/35.02 (assume @p268 (forall @t319 (=> @t395 (=> (not @t394) @t393)))) % 34.09/35.02 (assume @p269 (forall @t415 (=> @t414 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t110 (tptp.c_Relation_ODomain @t7 @t78 @t131))))) % 34.09/35.02 (assume @p270 (forall @t177 (= (tptp.c_Relation_OId__on @t7 @t372) @t381))) % 34.09/35.02 (assume @p271 (forall @t177 (tptp.c_Order__Relation_Olinear__order__on @t7 @t372 @t381))) % 34.09/35.02 (assume @p272 (forall @t319 (=> @t300 @t416))) % 34.09/35.02 (assume @p273 (forall @t319 (=> @t311 @t416))) % 34.09/35.02 (assume @p274 (forall @t411 (=> @t300 @t417))) % 34.09/35.02 (assume @p275 (forall @t411 (=> @t311 @t417))) % 34.09/35.02 (assume @p276 (forall @t89 (=> @t311 (= @t398 (= @t418 @t65))))) % 34.09/35.02 (assume @p277 (forall @t420 (=> @t311 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t418 @t69) (and @t419 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t65 @t69)))))) % 34.09/35.02 (assume @p278 (forall @t423 (=> @t311 (=> @t422 @t421)))) % 34.09/35.02 (assume @p279 (forall (@list @t241 @t239 @t302 @t7) (=> @t311 (=> @t424 @t421)))) % 34.09/35.02 (assume @p280 (forall @t319 (=> @t311 (=> @t394 (= @t317 @t315))))) % 34.09/35.02 (assume @p281 (forall @t411 (=> @t311 (=> @t393 (= @t317 @t302))))) % 34.09/35.02 (assume @p282 (forall @t428 (=> @t311 (=> @t427 (=> @t426 @t425))))) % 34.09/35.02 (assume @p283 (forall @t413 (=> @t311 (=> @t393 (=> @t412 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t326 @t302)))))) % 34.09/35.02 (assume @p284 (forall @t431 (=> @t311 (=> @t403 (=> @t430 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t313 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t321 @t429))))))) % 34.09/35.02 (assume @p285 (forall (@list @t302 @t239 @t241 @t7) (=> @t311 (=> @t425 (not (=> @t427 (not @t426))))))) % 34.09/35.02 (assume @p286 (forall @t115 (= (forall @t6 @t432) @t385))) % 34.09/35.02 (assume @p287 (forall @t115 (= (exists @t6 @t29) (not @t385)))) % 34.09/35.02 (assume @p288 (forall (@list @t45 @t7) (not (tptp.c_member @t7 @t45 @t372)))) % 34.09/35.02 (assume @p289 (forall (@list @t46 @t7 @t25) (=> @t385 @t433))) % 34.09/35.02 (assume @p290 (forall @t304 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t77)))) % 34.09/35.02 (assume @p291 (forall (@list @t46 @t57 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t57 @t352))) % 34.09/35.02 (assume @p292 (forall (@list @t49 @t57 @t25 @t7) (=> @t380 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t342)))) % 34.09/35.02 (assume @p293 (forall (@list @t46 @t434 @t260 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t260 @t434) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Set_Oinsert @t7 @t46 @t260) (tptp.c_Set_Oinsert @t7 @t46 @t434))))) % 34.09/35.02 (assume @p294 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t9))) % 34.09/35.02 (assume @p295 (forall @t259 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t251))) % 34.09/35.02 (assume @p296 (forall @t367 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t57 @t251))) % 34.09/35.02 (assume @p297 (forall @t259 (= @t380 @t435))) % 34.09/35.02 (assume @p298 (forall @t259 (=> @t380 @t435))) % 34.09/35.02 (assume @p299 (forall @t367 (=> @t379 (= @t251 @t25)))) % 34.09/35.02 (assume @p300 (forall @t436 (=> @t407 (=> @t408 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t251 @t260))))) % 34.09/35.02 (assume @p301 (forall @t438 (=> @t407 (=> @t437 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t251 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t260 @t434)))))) % 34.09/35.02 (assume @p302 (forall @t259 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t349 @t25))) % 34.09/35.02 (assume @p303 (forall (@list @t57 @t434 @t260 @t25 @t7) (=> @t407 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t434 @t57) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t349 (tptp.c_Groups_Ominus__class_Ominus @t8 @t260 @t434)))))) % 34.09/35.02 (assume @p304 (forall @t264 (=> @t380 (=> @t408 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t57 (tptp.c_Groups_Ominus__class_Ominus @t8 @t260 @t25)) @t25))))) % 34.09/35.02 (assume @p305 (forall @t359 (not (= @t372 @t358)))) % 34.09/35.02 (assume @p306 (forall @t359 (not (= @t358 @t372)))) % 34.09/35.02 (assume @p307 (forall @t440 (= (= @t374 (tptp.c_Set_Oinsert @t7 @t45 (tptp.c_Set_Oinsert @t7 @t439 @t372))) (or (and (= @t46 @t45) (= @t49 @t439)) (and (= @t46 @t439) (= @t49 @t45)))))) % 34.09/35.02 (assume @p308 (forall @t178 (=> (= @t441 @t373) @t84))) % 34.09/35.02 (assume @p309 (forall @t17 (=> @t375 (tptp.c_Wellfounded_Owf @t7 @t233)))) % 34.09/35.02 (assume @p310 (forall @t177 (not (= @t9 @t372)))) % 34.09/35.02 (assume @p311 (forall @t280 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t372 @t57) @t57))) % 34.09/35.02 (assume @p312 (forall @t115 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t372) @t25))) % 34.09/35.02 (assume @p313 (forall @t259 (= (= @t251 @t372) (and @t385 (= @t57 @t372))))) % 34.09/35.02 (assume @p314 (forall @t371 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t12 @t442) @t443))) % 34.09/35.02 (assume @p315 (forall @t286 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t93 @t282) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t282 @t184) (= @t284 @t184))))) % 34.09/35.02 (assume @p316 (forall @t371 (=> @t386 @t443))) % 34.09/35.02 (assume @p317 (forall @t115 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t372 @t25) @t372))) % 34.09/35.02 (assume @p318 (forall @t115 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t372) @t25))) % 34.09/35.02 (assume @p319 (forall @t115 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t25) @t372))) % 34.09/35.02 (assume @p320 (forall @t177 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t381) @t381))) % 34.09/35.02 (assume @p321 (forall @t17 (=> @t375 @t336))) % 34.09/35.02 (assume @p322 (forall @t371 (=> @t386 (=> (tptp.c_Relation_Oantisym @t7 @t131) @t244)))) % 34.09/35.02 (assume @p323 (forall (@list @t12 @t131 @t7) (=> (tptp.c_Wellfounded_Oacyclic @t7 @t131) (=> @t386 @t336)))) % 34.09/35.02 (assume @p324 (forall @t415 (=> @t414 (=> (tptp.c_Relation_Osingle__valued @t7 @t78 @t131) @t160)))) % 34.09/35.02 (assume @p325 (forall @t177 (tptp.c_Relation_Oantisym @t7 @t381))) % 34.09/35.02 (assume @p326 (forall @t447 (=> @t446 (=> @t87 @t444)))) % 34.09/35.02 (assume @p327 (forall @t447 (= @t444 (and (=> @t87 @t446) (=> @t356 @t380))))) % 34.09/35.02 (assume @p328 (forall @t17 (tptp.c_Relation_Ototal__on @t7 @t372 @t12))) % 34.09/35.02 (assume @p329 (forall @t89 (=> @t448 (= (= @t418 @t389) (and (= @t10 @t389) (= @t65 @t389)))))) % 34.09/35.02 (assume @p330 (forall @t304 (=> @t448 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t389) @t302)))) % 34.09/35.02 (assume @p331 (forall @t304 (=> @t448 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t389 @t302) @t302)))) % 34.09/35.02 (assume @p332 (forall (@list @t46 @t12 @t7) (=> @t375 (not @t138)))) % 34.09/35.02 (assume @p333 (forall (@list @t10 @t46 @t12 @t7) (=> @t375 (=> (tptp.c_member @t14 (tptp.c_Product__Type_OPair @t7 @t7 @t46 @t10) @t12) (not @t165))))) % 34.09/35.02 (assume @p334 (forall @t357 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t354 @t57) (and @t88 @t380)))) % 34.09/35.02 (assume @p335 (forall @t357 (=> @t356 (= @t444 @t380)))) % 34.09/35.02 (assume @p336 (forall @t451 (= @t450 @t449))) % 34.09/35.02 (assume @p337 (forall @t451 (=> @t450 @t449))) % 34.09/35.02 (assume @p338 (forall @t264 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t349 @t260) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t262)))) % 34.09/35.02 (assume @p339 (forall @t259 (=> @t380 (= @t368 @t57)))) % 34.09/35.02 (assume @p340 (forall @t17 (= @t375 (forall @t6 @t149)))) % 34.09/35.02 (assume @p341 (forall (@list @t10 @t12 @t7) (=> @t375 @t169))) % 34.09/35.02 (assume @p342 (forall @t359 (= @t358 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t441 @t25)))) % 34.09/35.02 (assume @p343 (forall (@list @t131 @t12 @t181 @t7) (=> @t279 (=> @t386 (tptp.c_member @t14 @t181 (tptp.c_Transitive__Closure_Otrancl @t7 @t131)))))) % 34.09/35.02 (assume @p344 (forall @t369 (= @t452 (tptp.c_Groups_Ominus__class_Ominus @t8 @t349 @t441)))) % 34.09/35.02 (assume @p345 (forall @t369 (= @t452 (tptp.c_Groups_Ominus__class_Ominus @t8 @t453 @t57)))) % 34.09/35.02 (assume @p346 (forall @t359 (= @t454 @t358))) % 34.09/35.02 (assume @p347 (forall @t115 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t9) @t372))) % 34.09/35.02 (assume @p348 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t285 @t283))) % 34.09/35.02 (assume @p349 (forall @t177 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t381) @t175))) % 34.09/35.02 (assume @p350 (forall @t359 (=> @t82 (= @t454 @t25)))) % 34.09/35.02 (assume @p351 (forall @t92 (=> @t356 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t354 @t384) @t25)))) % 34.09/35.02 (assume @p352 (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t276 @t275) (tptp.c_Relation_ODomain @t7 @t78 (tptp.c_Groups_Ominus__class_Ominus @t277 @t25 @t57))))) % 34.09/35.02 (assume @p353 (forall @t34 (= (tptp.c_Order__Relation_Owell__order__on @t7 @t25 @t12) (and @t332 (tptp.c_Wellfounded_Owf @t7 @t337))))) % 34.09/35.02 (assume @p354 (forall @t11 (= (tptp.c_Set_Othe__elem @t7 @t384) @t10))) % 34.09/35.02 (assume @p355 (forall (@list @t65 @t69 @t2 @t78 @t25 @t10 @t7) (=> @t87 (=> (tptp.c_Nitpick_Ofold__graph_H @t7 @t78 @t2 @t69 @t445 @t65) (tptp.c_Nitpick_Ofold__graph_H @t7 @t78 @t2 @t69 @t25 (tptp.hAPP @t114 @t65)))))) % 34.09/35.02 (assume @p356 (forall @t245 (=> @t460 (=> @t459 (=> @t458 (= @t457 @t243)))))) % 34.09/35.02 (assume @p357 (forall (@list @t93 @t7 @t78) (= (tptp.c_Relation_OImage @t78 @t7 @t93 @t462) @t372))) % 34.09/35.02 (assume @p358 (forall (@list @t25 @t464 @t12 @t465 @t78 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t277 @t465 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t464 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t461 (tptp.c_Relation_OImage @t7 @t78 @t465 @t464) @t463))))) % 34.09/35.02 (assume @p359 (forall (@list @t57 @t7 @t25) (=> (= @t25 @t381) (tptp.c_Orderings_Oord__class_Oless__eq @t235 @t25 @t57)))) % 34.09/35.02 (assume @p360 (forall (@list @t57 @t25 @t93 @t7 @t78) (= (tptp.c_Relation_OImage @t78 @t7 @t93 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t461 @t25 @t57)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t467 @t466)))) % 34.09/35.02 (assume @p361 (forall @t115 (= (tptp.c_Relation_OImage @t7 @t7 @t175 @t25) @t25))) % 34.09/35.02 (assume @p362 (forall (@list @t468 @t12 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t7 @t7 @t12 @t468) @t468) (= (tptp.c_Relation_OImage @t7 @t7 @t172 @t468) @t468)))) % 34.09/35.02 (assume @p363 (forall (@list @t25 @t282 @t93 @t7 @t78) (= (tptp.c_Relation_OImage @t78 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t274 @t93 @t282) @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t467 (tptp.c_Relation_OImage @t78 @t7 @t282 @t25))))) % 34.09/35.02 (assume @p364 (forall (@list @t69 @t2 @t78 @t7) (tptp.c_Nitpick_Ofold__graph_H @t7 @t78 @t2 @t69 @t372 @t69))) % 34.09/35.02 (assume @p365 (forall (@list @t156 @t153 @t78 @t7) (tptp.c_Nitpick_Ofold__graph_H @t7 @t78 @t153 @t156 @t372 @t156))) % 34.09/35.02 (assume @p366 (forall (@list @t12 @t49 @t78 @t25 @t46 @t7) (=> @t82 (=> @t104 (tptp.c_member @t78 @t49 @t463))))) % 34.09/35.02 (assume @p367 (forall @t471 (= @t470 (exists @t6 (and @t469 @t136))))) % 34.09/35.02 (assume @p368 (forall (@list @t25 @t93 @t7) (=> (tptp.c_Wellfounded_Owf @t7 @t93) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 (tptp.c_Relation_OImage @t7 @t7 @t93 @t25)) @t385)))) % 34.09/35.02 (assume @p369 (forall @t177 (tptp.c_Order__Relation_Owell__order__on @t7 @t372 @t381))) % 34.09/35.02 (assume @p370 (forall (@list @t46 @t12 @t78 @t49 @t7) (= (tptp.c_member @t7 @t49 (tptp.c_Relation_OImage @t78 @t7 @t12 (tptp.c_Set_Oinsert @t78 @t46 @t462))) (tptp.c_member @t122 @t351 @t12)))) % 34.09/35.02 (assume @p371 (forall @t245 (=> (tptp.c_Order__Relation_Opartial__order__on @t7 @t341 @t12) @t473))) % 34.09/35.02 (assume @p372 (forall @t245 (=> (tptp.c_Relation_Orefl__on @t7 @t341 @t12) (=> @t244 @t473)))) % 34.09/35.02 (assume @p373 (forall (@list @t57 @t25 @t12 @t7) (=> @t460 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t341) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t57 @t341) (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t7 @t7 @t12 @t25) (tptp.c_Relation_OImage @t7 @t7 @t12 @t57)) (forall @t6 (=> @t29 (exists @t27 (and @t474 @t19)))))))))) % 34.09/35.02 (assume @p374 (forall (@list @t2 @t7) (tptp.c_Wellfounded_Owf @t7 (tptp.c_Wellfounded_Omeasure @t7 @t2)))) % 34.09/35.02 (assume @p375 (forall (@list @t477 @t153 @t156 @t475 @t476 @t78 @t7) (= (tptp.c_Nitpick_Ofold__graph_H @t7 @t78 @t476 @t475 @t156 @t478) (or (and (= @t156 @t372) (= @t478 @t475)) (exists @t42 (and (= @t478 (tptp.hAPP (tptp.hAPP @t476 @t3) @t37)) (tptp.c_member @t7 @t3 @t156) (tptp.c_Nitpick_Ofold__graph_H @t7 @t78 @t476 @t475 (tptp.c_Groups_Ominus__class_Ominus @t8 @t156 (tptp.c_Set_Oinsert @t7 @t3 @t372)) @t37))))))) % 34.09/35.02 (assume @p376 (forall @t440 (=> (tptp.class_Groups_Oordered__ab__group__add @t7) (=> @t479 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t46 @t49) (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t45 @t439)))))) % 34.09/35.02 (assume @p377 (forall @t440 (=> (tptp.class_Groups_Oab__group__add @t7) (=> @t479 (= @t84 (= @t45 @t439)))))) % 34.09/35.02 (assume @p378 (forall @t471 (=> @t470 (not (forall @t6 (=> @t136 (not @t469))))))) % 34.09/35.02 (assume @p379 (forall (@list @t7 @t93 @t78 @t96) (=> (forall @t6 (=> @t265 (tptp.c_Wellfounded_Owf @t78 (tptp.hAPP @t93 @t3)))) (tptp.c_Wellfounded_Owf @t95 @t97)))) % 34.09/35.02 (assume @p380 (forall (@list @t46 @t49 @t12 @t25 @t7) (=> @t481 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t455 @t456) @t480)))) % 34.09/35.02 (assume @p381 (forall (@list @t46 @t482 @t12 @t78 @t7 @t2) (=> (= @t2 @t483) (=> @t375 (= (tptp.hAPP @t2 @t46) (tptp.hAPP (tptp.hAPP @t482 @t163) @t46)))))) % 34.09/35.02 (assume @p382 (forall @t140 (=> @t481 (=> @t82 (tptp.c_member @t7 @t46 @t456))))) % 34.09/35.02 (assume @p383 (forall @t484 (=> @t481 (=> @t54 @t472)))) % 34.09/35.02 (assume @p384 (forall (@list @t25 @t49 @t46 @t12 @t7) (=> @t472 (=> @t481 @t480)))) % 34.09/35.02 (assume @p385 (forall @t142 (=> @t481 (=> @t87 (=> @t86 (= @t486 @t141)))))) % 34.09/35.02 (assume @p386 (forall @t142 (=> @t481 (= @t141 (and @t486 @t87 @t86))))) % 34.09/35.02 (assume @p387 (forall @t484 (=> @t481 (=> @t54 @t457)))) % 34.09/35.02 (assume @p388 (forall (@list @t78 @t7 @t487 @t168) (=> (tptp.c_Wellfounded_Owf @t7 @t168) (forall @t6 (= (tptp.hAPP @t488 @t3) (tptp.hAPP (tptp.hAPP @t487 (tptp.c_Recdef_Ocut @t7 @t78 @t488 @t168 @t3)) @t3)))))) % 34.09/35.02 (assume @p389 (forall (@list @t46 @t482 @t78 @t12 @t7) (=> @t375 (= (tptp.hAPP @t483 @t46) (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Recdef_Ocut @t7 @t78 @t483 @t12 @t46)) @t46))))) % 34.09/35.02 (assume @p390 (forall @t142 (=> @t481 (=> @t87 (=> @t86 (= (= (tptp.c_Equiv__Relations_Oquotient @t7 @t384 @t12) (tptp.c_Equiv__Relations_Oquotient @t7 @t485 @t12)) @t141)))))) % 34.09/35.02 (assume @p391 (forall (@list @t49 @t46 @t10 @t12 @t25 @t7) (=> @t481 (=> (tptp.c_member @t7 @t10 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t456 @t455)) @t54)))) % 34.09/35.02 (assume @p392 (forall (@list @t7 @t57 @t10 @t25) (=> @t91 (=> @t250 @t490)))) % 34.09/35.02 (assume @p393 (forall @t253 (=> @t490 (not (=> @t91 @t254))))) % 34.09/35.02 (assume @p394 (forall @t256 (=> @t491 (not @t62)))) % 34.09/35.02 (assume @p395 (forall @t256 (=> @t59 (=> @t58 @t491)))) % 34.09/35.02 (assume @p396 (forall (@list @t492 @t468 @t12 @t25 @t7) (=> @t481 (=> (tptp.c_member @t8 @t468 @t493) (=> (tptp.c_member @t8 @t492 @t493) (or (= @t468 @t492) (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t468 @t492) @t372))))))) % 34.09/35.02 (assume @p397 (forall @t17 (= (tptp.c_Equiv__Relations_Oquotient @t7 @t372 @t12) @t494))) % 34.09/35.02 (assume @p398 (forall @t34 (= (= @t494 @t493) @t385))) % 34.09/35.02 (assume @p399 (forall @t34 (= (= @t493 @t494) @t385))) % 34.09/35.02 (assume @p400 (forall @t304 (=> @t448 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t389 @t302) @t389)))) % 34.09/35.02 (assume @p401 (forall @t304 (=> @t448 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t389) @t389)))) % 34.09/35.02 (assume @p402 (forall @t319 (=> @t300 @t496))) % 34.09/35.02 (assume @p403 (forall @t319 (=> @t497 @t496))) % 34.09/35.02 (assume @p404 (forall @t319 (=> @t300 @t498))) % 34.09/35.02 (assume @p405 (forall @t319 (=> @t497 @t498))) % 34.09/35.02 (assume @p406 (forall @t89 (=> @t497 (= @t398 (= @t499 @t10))))) % 34.09/35.02 (assume @p407 (forall @t420 (=> @t497 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t65 @t69)) (and @t398 @t419))))) % 34.09/35.02 (assume @p408 (forall @t428 (=> @t497 (=> @t427 @t501)))) % 34.09/35.02 (assume @p409 (forall (@list @t241 @t302 @t239 @t7) (=> @t497 (=> @t426 @t501)))) % 34.09/35.02 (assume @p410 (forall @t319 (=> @t497 (=> @t394 (= @t495 @t302))))) % 34.09/35.02 (assume @p411 (forall @t411 (=> @t497 (=> @t393 (= @t495 @t315))))) % 34.09/35.02 (assume @p412 (forall @t423 (=> @t497 (=> @t422 (=> @t424 @t502))))) % 34.09/35.02 (assume @p413 (forall @t329 (=> @t497 (=> @t394 (=> @t410 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t302 @t503)))))) % 34.09/35.02 (assume @p414 (forall @t431 (=> @t497 (=> @t403 (=> @t430 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t500 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t321 @t429))))))) % 34.09/35.02 (assume @p415 (forall @t423 (=> @t497 (=> @t502 (not (=> @t422 (not @t424))))))) % 34.09/35.02 (assume @p416 (forall @t504 (=> @t375 (tptp.c_Wellfounded_Owf @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t235 @t12 @t465))))) % 34.09/35.02 (assume @p417 (forall @t504 (=> @t375 (tptp.c_Wellfounded_Owf @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t235 @t465 @t12))))) % 34.09/35.02 (assume @p418 (forall @t280 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t372 @t57) @t372))) % 34.09/35.02 (assume @p419 (forall @t115 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t372) @t372))) % 34.09/35.02 (assume @p420 (forall @t259 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t489 @t25))) % 34.09/35.02 (assume @p421 (forall @t259 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t489 @t57))) % 34.09/35.02 (assume @p422 (forall (@list @t57 @t25 @t93 @t78 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t78 @t7 @t93 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t461 @t25 @t57)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t467 @t466)))) % 34.09/35.02 (assume @p423 (forall @t259 (= @t505 (forall @t6 (=> @t29 (forall @t27 (=> @t474 @t23))))))) % 34.09/35.02 (assume @p424 (forall @t259 (=> @t380 (= @t489 @t25)))) % 34.09/35.02 (assume @p425 (forall @t367 (=> @t379 (= @t489 @t57)))) % 34.09/35.02 (assume @p426 (forall @t507 (=> @t506 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t260 @t57) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t260 @t489))))) % 34.09/35.02 (assume @p427 (forall @t438 (=> @t407 (=> @t437 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t489 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t260 @t434)))))) % 34.09/35.02 (assume @p428 (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_ODomain @t7 @t78 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t277 @t25 @t57)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t276 @t275)))) % 34.09/35.02 (assume @p429 (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_ORange @t78 @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t274 @t25 @t57)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t273 @t272)))) % 34.09/35.02 (assume @p430 (forall @t329 (=> @t300 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t509 @t508)))) % 34.09/35.02 (assume @p431 (forall @t329 (=> @t300 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t512 @t510)))) % 34.09/35.02 (assume @p432 (forall @t517 @t516)) % 34.09/35.02 (assume @p433 (forall @t520 @t519)) % 34.09/35.02 (assume @p434 (forall @t517 @t521)) % 34.09/35.02 (assume @p435 (forall @t520 @t522)) % 34.09/35.02 (assume @p436 (forall @t517 (and @t516 @t521))) % 34.09/35.02 (assume @p437 (forall @t520 (and @t519 @t522))) % 34.09/35.02 (assume @p438 (forall @t259 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t366) @t372))) % 34.09/35.02 (assume @p439 (forall @t259 (=> @t505 (= @t349 @t25)))) % 34.09/35.02 (assume @p440 (forall @t264 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t489 @t260) @t523) @t506))) % 34.09/35.02 (assume @p441 (forall @t259 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t349 @t489) @t25))) % 34.09/35.02 (assume @p442 (forall @t264 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t262) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t349 @t365)))) % 34.09/35.02 (assume @p443 (forall @t264 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t513) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t349 @t365)))) % 34.09/35.02 (assume @p444 (forall @t312 (=> @t497 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t241 @t241) @t241)))) % 34.09/35.02 (assume @p445 (forall @t304 (=> @t497 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t302) @t302)))) % 34.09/35.02 (assume @p446 (forall @t314 (=> @t497 (= @t500 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t239 @t241))))) % 34.09/35.02 (assume @p447 (forall @t319 (=> @t300 @t525))) % 34.09/35.02 (assume @p448 (forall @t319 (=> @t497 @t525))) % 34.09/35.02 (assume @p449 (forall @t314 (=> @t497 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t241 @t500) @t500)))) % 34.09/35.02 (assume @p450 (forall @t319 (=> @t300 @t526))) % 34.09/35.02 (assume @p451 (forall @t319 (=> @t497 @t526))) % 34.09/35.02 (assume @p452 (forall @t323 (=> @t497 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t239 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t241 @t321)) @t527)))) % 34.09/35.02 (assume @p453 (forall @t329 (=> @t300 @t529))) % 34.09/35.02 (assume @p454 (forall @t329 (=> @t497 @t529))) % 34.09/35.02 (assume @p455 (forall @t330 (=> @t497 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t500 @t321) @t527)))) % 34.09/35.02 (assume @p456 (forall @t329 (=> @t300 @t530))) % 34.09/35.02 (assume @p457 (forall @t329 (=> @t497 @t530))) % 34.09/35.02 (assume @p458 (forall @t301 (=> @t300 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t79 @t2 @t1) @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t114 @t299))))) % 34.09/35.02 (assume @p459 (forall @t115 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t25) @t25))) % 34.09/35.02 (assume @p460 (forall @t259 (= @t489 @t531))) % 34.09/35.02 (assume @p461 (forall @t259 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t489) @t489))) % 34.09/35.02 (assume @p462 (forall @t264 (= @t533 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t57 @t532)))) % 34.09/35.02 (assume @p463 (forall @t264 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t489 @t260) @t533))) % 34.09/35.02 (assume @p464 (forall @t253 (=> @t490 @t91))) % 34.09/35.02 (assume @p465 (forall @t253 (=> @t490 @t250))) % 34.09/35.02 (assume @p466 (forall @t271 (=> @t139 (=> @t270 (tptp.c_Relation_Orefl__on @t7 @t489 @t534))))) % 34.09/35.02 (assume @p467 (forall @t256 (=> @t491 @t58))) % 34.09/35.02 (assume @p468 (forall @t256 (=> @t491 @t59))) % 34.09/35.02 (assume @p469 (forall @t256 (= @t491 (and @t59 @t58)))) % 34.09/35.02 (assume @p470 (forall @t304 (=> @t303 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t77 @t302) @t302)))) % 34.09/35.02 (assume @p471 (forall @t304 (=> @t303 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t77) @t302)))) % 34.09/35.02 (assume @p472 (forall @t89 (=> @t303 (= (= @t499 @t77) (and (= @t10 @t77) (= @t65 @t77)))))) % 34.09/35.02 (assume @p473 (forall @t536 (=> @t535 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t503 @t302) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t316 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t324 @t302)))))) % 34.09/35.02 (assume @p474 (forall @t536 (=> @t535 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t326 @t302) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t524 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t324 @t302)))))) % 34.09/35.02 (assume @p475 (forall @t329 (=> @t535 (= @t509 @t508)))) % 34.09/35.02 (assume @p476 (forall @t329 (=> @t535 (= @t510 @t512)))) % 34.09/35.02 (assume @p477 (forall @t319 (=> @t300 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t302 @t495) @t302)))) % 34.09/35.02 (assume @p478 (forall @t319 (=> @t300 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t302 @t317) @t302)))) % 34.09/35.02 (assume @p479 (forall @t371 (=> @t44 (=> (tptp.c_Relation_Otrans @t7 @t131) (tptp.c_Relation_Otrans @t7 @t534))))) % 34.09/35.02 (assume @p480 (forall @t436 (= @t537 (tptp.c_Groups_Ominus__class_Ominus @t8 @t532 @t57)))) % 34.09/35.02 (assume @p481 (forall @t264 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t349 @t260) @t537))) % 34.09/35.02 (assume @p482 (forall @t264 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t489 @t260) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t364)))) % 34.09/35.02 (assume @p483 (forall @t507 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t260 @t349) (tptp.c_Groups_Ominus__class_Ominus @t8 @t538 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t260 @t57))))) % 34.09/35.02 (assume @p484 (forall @t264 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t489 @t513) @t538) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t251 @t262) @t539)))) % 34.09/35.02 (assume @p485 (forall @t540 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t513 @t25) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t258 @t539)))) % 34.09/35.02 (assume @p486 (forall @t540 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t262 @t25) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t531 @t538)))) % 34.09/35.02 (assume @p487 (forall @t264 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t25 @t513) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t251 @t261)))) % 34.09/35.02 (assume @p488 (forall @t264 (= @t523 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t489 @t532)))) % 34.09/35.02 (assume @p489 (forall @t115 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t25 @t9) @t25))) % 34.09/35.02 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p491 (forall @t545 (=> @t544 (tptp.class_Lattices_Obounded__lattice @t543)))) % 34.09/35.02 (assume @p492 (forall @t545 (=> @t544 (tptp.class_Lattices_Obounded__lattice__top @t543)))) % 34.09/35.02 (assume @p493 (forall @t545 (=> @t544 (tptp.class_Lattices_Obounded__lattice__bot @t543)))) % 34.09/35.02 (assume @p494 (forall @t545 (=> @t546 (tptp.class_Lattices_Osemilattice__sup @t543)))) % 34.09/35.02 (assume @p495 (forall @t545 (=> @t546 (tptp.class_Lattices_Osemilattice__inf @t543)))) % 34.09/35.02 (assume @p496 (forall @t545 (=> (tptp.class_Lattices_Odistrib__lattice @t541) (tptp.class_Lattices_Odistrib__lattice @t543)))) % 34.09/35.02 (assume @p497 (forall @t545 (=> (tptp.class_Orderings_Opreorder @t541) (tptp.class_Orderings_Opreorder @t543)))) % 34.09/35.02 (assume @p498 (forall @t545 (=> @t546 (tptp.class_Lattices_Olattice @t543)))) % 34.09/35.02 (assume @p499 (forall @t545 (=> (tptp.class_Orderings_Oorder @t541) (tptp.class_Orderings_Oorder @t543)))) % 34.09/35.02 (assume @p500 (forall @t545 (=> (tptp.class_Orderings_Otop @t541) (tptp.class_Orderings_Otop @t543)))) % 34.09/35.02 (assume @p501 (forall @t545 (=> (tptp.class_Orderings_Oord @t541) (tptp.class_Orderings_Oord @t543)))) % 34.09/35.02 (assume @p502 (forall @t545 (=> (tptp.class_Orderings_Obot @t541) (tptp.class_Orderings_Obot @t543)))) % 34.09/35.02 (assume @p503 (forall @t545 (=> (tptp.class_Groups_Ominus @t541) (tptp.class_Groups_Ominus @t543)))) % 34.09/35.02 (assume @p504 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p512 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p513 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p514 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p515 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 34.09/35.02 (assume @p516 (forall @t548 (or (not @t547) @t72))) % 34.09/35.02 (assume @p517 (forall @t548 (or @t73 @t547))) % 34.09/35.02 (assume @p518 @t567) % 34.09/35.02 (assume @p519 @t572) % 34.09/35.02 (assume @p520 @t575) % 34.09/35.02 (assume @p521 @t579) % 34.09/35.02 (assume @p522 (not @t581)) % 34.09/35.02 (assume @p523 true) % 34.09/35.02 (step @p524 :rule aci_norm :args ((= @t588 (or @t432 @t586 @t585 @t584 @t583)))) % 34.09/35.02 (step @p525 :rule cong :premises (@p524) :args (@t590)) % 34.09/35.02 (step @p526 :rule quant-merge-prenex :args ((= (forall @t6 @t592) @t590))) % 34.09/35.02 (step @p527 :rule alpha_equiv :args (@t593 (@list @t582) (@list @t18))) % 34.09/35.02 (step @p528 :rule refl :args (@t432)) % 34.09/35.02 (step @p529 :rule nary_cong :premises (@p528 @p527) :args (@t594)) % 34.09/35.02 (step @p530 :rule quant-miniscope-or :args ((= @t592 @t594))) % 34.09/35.02 (step @p531 :rule trans :premises (@p530 @p529)) % 34.09/35.02 (step @p532 :rule symm :premises (@p531)) % 34.09/35.02 (step @p533 :rule cong :premises (@p532) :args ((forall @t6 (or @t432 @t597)))) % 34.09/35.02 (step @p534 :rule trans :premises (@p533 @p526)) % 34.09/35.02 (step @p535 :rule trans :premises (@p534 @p525)) % 34.09/35.02 (step @p536 :rule bool-impl-elim :args (@t29 @t597)) % 34.09/35.02 (step @p537 :rule cong :premises (@p536) :args ((forall @t6 (=> @t29 @t597)))) % 34.09/35.02 (step @p538 :rule trans :premises (@p537 @p535)) % 34.09/35.02 (step @p539 :rule aci_norm :args ((= (or @t595 @t598) @t596))) % 34.09/35.02 (step @p540 :rule aci_norm :args ((= (or @t22 @t21) @t598))) % 34.09/35.02 (step @p541 :rule refl :args (@t21)) % 34.09/35.02 (step @p542 :rule bool-double-not-elim :args (@t22)) % 34.09/35.02 (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or (not @t23) @t21))) % 34.09/35.02 (step @p544 :rule bool-impl-elim :args (@t23 @t21)) % 34.09/35.02 (step @p545 :rule trans :premises (@p544 @p543)) % 34.09/35.02 (step @p546 :rule trans :premises (@p545 @p540)) % 34.09/35.02 (step @p547 :rule refl :args (@t595)) % 34.09/35.02 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t595 @t24))) % 34.09/35.02 (step @p549 :rule trans :premises (@p548 @p539)) % 34.09/35.02 (step @p550 :rule bool-impl-elim :args (@t26 @t24)) % 34.09/35.02 (step @p551 :rule trans :premises (@p550 @p549)) % 34.09/35.02 (step @p552 :rule cong :premises (@p551) :args (@t28)) % 34.09/35.02 (step @p553 :rule refl :args (@t29)) % 34.09/35.02 (step @p554 :rule cong :premises (@p553 @p552) :args (@t30)) % 34.09/35.02 (step @p555 :rule cong :premises (@p554) :args (@t31)) % 34.09/35.02 (step @p556 :rule trans :premises (@p555 @p538)) % 34.09/35.02 (step @p557 :rule refl :args (@t32)) % 34.09/35.02 (step @p558 :rule cong :premises (@p557 @p556) :args (@t33)) % 34.09/35.02 (step @p559 :rule cong :premises (@p558) :args (@t35)) % 34.09/35.02 (step @p560 :rule eq_resolve :premises (@p4 @p559)) % 34.09/35.02 (step @p561 :rule instantiate :premises (@p560) :args ((@list @t580 @t560 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p562 :rule alpha_equiv :args (@t599 @t600 @t602)) % 34.09/35.02 (step @p563 :rule alpha_equiv :args (@t603 @t600 @t605)) % 34.09/35.02 (step @p564 :rule alpha_equiv :args (@t606 @t600 @t608)) % 34.09/35.02 (step @p565 :rule nary_cong :premises (@p564 @p563 @p562) :args (@t609)) % 34.09/35.02 (step @p566 :rule quant-miniscope-and :args ((= @t572 @t609))) % 34.09/35.02 (step @p567 :rule trans :premises (@p566 @p565)) % 34.09/35.02 (step @p568 :rule eq_resolve :premises (@p519 @p567)) % 34.09/35.02 (step @p569 :rule and_elim :premises (@p568) :args (2)) % 34.09/35.02 (step @p570 :rule instantiate :premises (@p569) :args ((@list tptp.v_i))) % 34.09/35.02 (step @p571 :rule cnf_equiv_pos1 :args (@t612)) % 34.09/35.02 (step @p572 :rule reordering :premises (@p571) :args ((or (not @t611) @t610 (not @t612)))) % 34.09/35.02 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p561) :args (@t610 @t613 (@list @t611 @t612))) % 34.09/35.02 (step @p574 :rule bool-impl-elim :args (@t104 @t102)) % 34.09/35.02 (step @p575 :rule cong :premises (@p574) :args (@t106)) % 34.09/35.02 (step @p576 :rule eq_resolve :premises (@p20 @p575)) % 34.09/35.02 (step @p577 :rule instantiate :premises (@p576) :args ((@list @t614 tptp.v_a tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p578 :rule instantiate :premises (@p68) :args ((@list tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p579 :rule cnf_or_pos :args (@t619)) % 34.09/35.02 (step @p580 :rule reordering :premises (@p579) :args ((or @t618 @t615 (not @t619)))) % 34.09/35.02 (step @p581 :rule chain_m_resolution :premises (@p580 @p578 @p577) :args (@t615 @t613 (@list @t617 @t619))) % 34.09/35.02 (step @p582 :rule true_intro :premises (@p581)) % 34.09/35.02 (step @p583 :rule eq-symm :args (@t179 @t9)) % 34.09/35.02 (step @p584 :rule cong :premises (@p583) :args (@t180)) % 34.09/35.02 (step @p585 :rule eq_resolve :premises (@p73 @p584)) % 34.09/35.02 (step @p586 :rule instantiate :premises (@p585) :args ((@list tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p587 :rule refl :args (tptp.v_a)) % 34.09/35.02 (step @p588 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.09/35.02 (step @p589 :rule cong :premises (@p588 @p587 @p586) :args (@t620)) % 34.09/35.02 (step @p590 :rule trans :premises (@p589 @p582)) % 34.09/35.02 (step @p591 :rule true_elim :premises (@p590)) % 34.09/35.02 (step @p592 :rule instantiate :premises (@p2) :args ((@list tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p593 :rule aci_norm :args ((= @t641 @t639))) % 34.09/35.02 (step @p594 :rule cong :premises (@p593) :args (@t643)) % 34.09/35.02 (step @p595 :rule quant-merge-prenex :args ((= (forall @t566 @t645) @t643))) % 34.09/35.02 (step @p596 :rule alpha_equiv :args (@t646 (@list @t622 @t621) (@list @t203 @t202))) % 34.09/35.02 (step @p597 :rule refl :args (@t630)) % 34.09/35.02 (step @p598 :rule refl :args (@t634)) % 34.09/35.02 (step @p599 :rule refl :args (@t638)) % 34.09/35.02 (step @p600 :rule nary_cong :premises (@p599 @p598 @p597 @p596) :args (@t647)) % 34.09/35.02 (step @p601 :rule quant-miniscope-or :args ((= @t645 @t647))) % 34.09/35.02 (step @p602 :rule trans :premises (@p601 @p600)) % 34.09/35.02 (step @p603 :rule symm :premises (@p602)) % 34.09/35.02 (step @p604 :rule cong :premises (@p603) :args ((forall @t566 @t651))) % 34.09/35.02 (step @p605 :rule trans :premises (@p604 @p595)) % 34.09/35.02 (step @p606 :rule trans :premises (@p605 @p594)) % 34.09/35.02 (step @p607 :rule aci_norm :args ((= (or @t652 @t650) @t651))) % 34.09/35.02 (step @p608 :rule refl :args (@t650)) % 34.09/35.02 (step @p609 :rule aci_norm :args ((= (or @t638 (or @t634 @t630)) @t652))) % 34.09/35.02 (step @p610 :rule bool-and-de-morgan :args (@t633 @t629 true)) % 34.09/35.02 (step @p611 :rule nary_cong :premises (@p599 @p610) :args ((or @t638 (not (and @t633 @t629))))) % 34.09/35.02 (step @p612 :rule bool-and-de-morgan :args (@t637 @t633 (and @t629))) % 34.09/35.02 (step @p613 :rule trans :premises (@p612 @p611)) % 34.09/35.02 (step @p614 :rule trans :premises (@p613 @p609)) % 34.09/35.02 (step @p615 :rule nary_cong :premises (@p614 @p608) :args ((or (not @t653) @t650))) % 34.09/35.02 (step @p616 :rule trans :premises (@p615 @p607)) % 34.09/35.02 (step @p617 :rule bool-impl-elim :args (@t653 @t650)) % 34.09/35.02 (step @p618 :rule trans :premises (@p617 @p616)) % 34.09/35.02 (step @p619 :rule cong :premises (@p618) :args ((forall @t566 (=> @t653 @t650)))) % 34.09/35.02 (step @p620 :rule trans :premises (@p619 @p606)) % 34.09/35.02 (step @p621 :rule aci_norm :args ((= (or @t556 (or @t648 @t552)) @t649))) % 34.09/35.02 (step @p622 :rule bool-impl-elim :args (@t554 @t552)) % 34.09/35.02 (step @p623 :rule refl :args (@t556)) % 34.09/35.02 (step @p624 :rule nary_cong :premises (@p623 @p622) :args ((or @t556 @t555))) % 34.09/35.02 (step @p625 :rule trans :premises (@p624 @p621)) % 34.09/35.02 (step @p626 :rule refl :args (@t555)) % 34.09/35.02 (step @p627 :rule bool-double-not-elim :args (@t556)) % 34.09/35.02 (step @p628 :rule nary_cong :premises (@p627 @p626) :args ((or (not @t557) @t555))) % 34.09/35.02 (step @p629 :rule bool-impl-elim :args (@t557 @t555)) % 34.09/35.02 (step @p630 :rule trans :premises (@p629 @p628)) % 34.09/35.02 (step @p631 :rule trans :premises (@p630 @p625)) % 34.09/35.02 (step @p632 :rule cong :premises (@p631) :args (@t558)) % 34.09/35.02 (step @p633 :rule alpha_equiv :args (@t654 @t600 @t655)) % 34.09/35.02 (step @p634 :rule alpha_equiv :args (@t656 @t600 @t657)) % 34.09/35.02 (step @p635 :rule alpha_equiv :args (@t658 @t600 @t659)) % 34.09/35.02 (step @p636 :rule nary_cong :premises (@p635 @p634 @p633) :args (@t660)) % 34.09/35.02 (step @p637 :rule quant-miniscope-and :args ((= @t564 @t660))) % 34.09/35.02 (step @p638 :rule trans :premises (@p637 @p636)) % 34.09/35.02 (step @p639 :rule cong :premises (@p638 @p632) :args (@t565)) % 34.09/35.02 (step @p640 :rule cong :premises (@p639) :args (@t567)) % 34.09/35.02 (step @p641 :rule trans :premises (@p640 @p620)) % 34.09/35.02 (step @p642 :rule eq_resolve :premises (@p518 @p641)) % 34.09/35.02 (step @p643 :rule refl :args (@t662)) % 34.09/35.02 (step @p644 :rule refl :args (@t664)) % 34.09/35.02 (step @p645 :rule eq-symm :args (tptp.v_b tptp.v_a)) % 34.09/35.02 (step @p646 :rule refl :args (@t666)) % 34.09/35.02 (step @p647 :rule refl :args (@t668)) % 34.09/35.02 (step @p648 :rule refl :args (@t670)) % 34.09/35.02 (step @p649 :rule nary_cong :premises (@p648 @p647 @p646 @p645 @p644 @p643) :args (@t671)) % 34.09/35.02 (step @p650 :rule refl :args (@t672)) % 34.09/35.02 (step @p651 :rule cong :premises (@p650 @p649) :args ((=> @t672 @t671))) % 34.09/35.02 (assume-push @p742 @t672) % 34.09/35.02 (step @p653 :rule instantiate :premises (@p642) :args ((@list tptp.v_P tptp.v_b tptp.v_a))) % 34.09/35.02 (step-pop @p743 :rule scope :premises (@p653)) % 34.09/35.02 (step @p654 :rule process_scope :premises (@p743) :args (@t671)) % 34.09/35.02 (step @p656 :rule eq_resolve :premises (@p654 @p651)) % 34.09/35.02 (step @p657 :rule implies_elim :premises (@p656)) % 34.09/35.02 (step @p658 :rule chain_m_resolution :premises (@p657 @p642) :args (@t674 @t675 (@list @t672))) % 34.09/35.02 (step @p659 :rule alpha_equiv :args (@t676 @t602 @t655)) % 34.09/35.02 (step @p660 :rule equiv_elim1 :premises (@p659)) % 34.09/35.02 (step @p661 :rule chain_m_resolution :premises (@p660 @p569) :args (@t665 @t675 (@list @t676))) % 34.09/35.02 (step @p662 :rule and_elim :premises (@p568) :args (1)) % 34.09/35.02 (step @p663 :rule alpha_equiv :args (@t677 @t605 @t657)) % 34.09/35.02 (step @p664 :rule equiv_elim1 :premises (@p663)) % 34.09/35.02 (step @p665 :rule chain_m_resolution :premises (@p664 @p662) :args (@t667 @t675 (@list @t677))) % 34.09/35.02 (step @p666 :rule and_elim :premises (@p568) :args (0)) % 34.09/35.02 (step @p667 :rule alpha_equiv :args (@t678 @t608 @t659)) % 34.09/35.02 (step @p668 :rule equiv_elim1 :premises (@p667)) % 34.09/35.02 (step @p669 :rule chain_m_resolution :premises (@p668 @p666) :args (@t669 @t675 (@list @t678))) % 34.09/35.02 (step @p670 :rule instantiate :premises (@p3) :args ((@list @t573 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p671 :rule refl :args (@t578)) % 34.09/35.02 (step @p672 :rule cong :premises (@p567 @p671) :args (@t579)) % 34.09/35.02 (step @p673 :rule eq_resolve :premises (@p521 @p672)) % 34.09/35.02 (step @p674 :rule implies_elim :premises (@p673)) % 34.09/35.02 (step @p675 :rule reordering :premises (@p674) :args ((or @t578 (not @t679)))) % 34.09/35.02 (step @p676 :rule chain_m_resolution :premises (@p675 @p568) :args (@t578 @t675 (@list @t679))) % 34.09/35.02 (step @p677 :rule cnf_and_pos :args (@t578 1)) % 34.09/35.02 (step @p678 :rule reordering :premises (@p677) :args ((or @t576 @t680))) % 34.09/35.02 (step @p679 :rule chain_m_resolution :premises (@p678 @p676) :args (@t576 @t675 @t681)) % 34.09/35.02 (step @p680 :rule cnf_equiv_pos1 :args (@t683)) % 34.09/35.02 (step @p681 :rule reordering :premises (@p680) :args ((or (not @t576) @t682 (not @t683)))) % 34.09/35.02 (step @p682 :rule chain_m_resolution :premises (@p681 @p679 @p670) :args (@t682 @t613 (@list @t576 @t683))) % 34.09/35.02 (step @p683 :rule instantiate :premises (@p682) :args ((@list tptp.v_a))) % 34.09/35.02 (step @p684 :rule bool-double-not-elim :args (@t684)) % 34.09/35.02 (step @p685 :rule refl :args (@t685)) % 34.09/35.02 (step @p686 :rule refl :args (@t686)) % 34.09/35.02 (step @p687 :rule nary_cong :premises (@p686 @p685 @p684) :args ((or @t686 @t685 (not @t687)))) % 34.09/35.02 (assume-push @p744 @t575) % 34.09/35.02 (assume-push @p745 @t673) % 34.09/35.02 (assume-push @p746 @t687) % 34.09/35.02 (step @p691 :rule evaluate :args ((= false true))) % 34.09/35.02 (step @p692 :rule true_intro :premises (@p520)) % 34.09/35.02 (step @p693 :rule refl :args (@t573)) % 34.09/35.02 (step @p694 :rule cong :premises (@p588 @p588 @p587 @p745) :args (@t616)) % 34.09/35.02 (step @p695 :rule refl :args (@t67)) % 34.09/35.02 (step @p696 :rule cong :premises (@p695 @p694 @p693) :args (@t684)) % 34.09/35.02 (step @p697 :rule false_intro :premises (@p683)) % 34.09/35.02 (step @p698 :rule symm :premises (@p697)) % 34.09/35.02 (step @p699 :rule trans :premises (@p698 @p696 @p692)) % 34.09/35.02 (step @p700 false :rule eq_resolve :premises (@p699 @p691)) % 34.09/35.02 (step-pop @p747 :rule scope :premises (@p700)) % 34.09/35.02 (step-pop @p748 :rule scope :premises (@p747)) % 34.09/35.02 (step-pop @p749 :rule scope :premises (@p748)) % 34.09/35.02 (step @p701 :rule process_scope :premises (@p749) :args (false)) % 34.09/35.02 (step @p705 :rule not_and :premises (@p701)) % 34.09/35.02 (step @p706 :rule eq_resolve :premises (@p705 @p687)) % 34.09/35.02 (step @p707 :rule chain_m_resolution :premises (@p706 @p520 @p683) :args (@t685 (@list false true) (@list @t575 @t684))) % 34.09/35.02 (step @p708 :rule aci_norm :args ((= (or @t689 @t690) (or @t689 @t377 @t688 @t48)))) % 34.09/35.02 (step @p709 :rule aci_norm :args ((= (or @t377 (or @t688 @t48)) @t690))) % 34.09/35.02 (step @p710 :rule bool-impl-elim :args (@t51 @t48)) % 34.09/35.02 (step @p711 :rule refl :args (@t377)) % 34.09/35.02 (step @p712 :rule nary_cong :premises (@p711 @p710) :args ((or @t377 @t52))) % 34.09/35.02 (step @p713 :rule trans :premises (@p712 @p709)) % 34.09/35.02 (step @p714 :rule bool-impl-elim :args (@t54 @t52)) % 34.09/35.02 (step @p715 :rule trans :premises (@p714 @p713)) % 34.09/35.02 (step @p716 :rule refl :args (@t689)) % 34.09/35.02 (step @p717 :rule nary_cong :premises (@p716 @p715) :args ((or @t689 @t55))) % 34.09/35.02 (step @p718 :rule trans :premises (@p717 @p708)) % 34.09/35.02 (step @p719 :rule bool-impl-elim :args (@t44 @t55)) % 34.09/35.02 (step @p720 :rule trans :premises (@p719 @p718)) % 34.09/35.02 (step @p721 :rule cong :premises (@p720) :args (@t56)) % 34.09/35.02 (step @p722 :rule eq_resolve :premises (@p6 @p721)) % 34.09/35.02 (step @p723 :rule instantiate :premises (@p722) :args ((@list tptp.v_a tptp.v_b tptp.v_a @t573 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 34.09/35.02 (step @p724 :rule cnf_and_pos :args (@t578 0)) % 34.09/35.02 (step @p725 :rule reordering :premises (@p724) :args ((or @t577 @t680))) % 34.09/35.02 (step @p726 :rule chain_m_resolution :premises (@p725 @p676) :args (@t577 @t675 @t681)) % 34.09/35.02 (step @p727 :rule cnf_or_pos :args (@t693)) % 34.09/35.02 (step @p728 :rule reordering :premises (@p727) :args ((or @t686 @t692 @t691 @t684 (not @t693)))) % 34.09/35.02 (step @p729 :rule chain_m_resolution :premises (@p728 @p520 @p726 @p683 @p723) :args (@t691 (@list false false true false) (@list @t575 @t577 @t684 @t693))) % 34.09/35.02 (step @p730 :rule cnf_or_pos :args (@t674)) % 34.09/35.02 (step @p731 :rule reordering :premises (@p730) :args ((or @t662 @t673 @t664 @t670 @t668 @t666 (not @t674)))) % 34.09/35.02 (step @p732 :rule chain_m_resolution :premises (@p731 @p729 @p707 @p669 @p665 @p661 @p658) :args (@t664 (@list true true false false false false) (@list @t662 @t673 @t669 @t667 @t665 @t674))) % 34.09/35.02 (step @p733 :rule cnf_or_pos :args (@t697)) % 34.09/35.02 (step @p734 :rule reordering :premises (@p733) :args ((or @t581 @t673 @t663 @t695 @t696 @t698))) % 34.09/35.02 (step @p735 :rule chain_m_resolution :premises (@p734 @p522 @p707 @p732 @p592 @p591) :args (@t698 (@list true true true false false) (@list @t581 @t673 @t663 @t694 @t620))) % 34.09/35.02 (assume-push @p750 @t610) % 34.09/35.02 (step @p737 :rule instantiate :premises (@p573) :args ((@list tptp.v_a tptp.v_b))) % 34.09/35.02 (step-pop @p751 :rule scope :premises (@p737)) % 34.09/35.02 (step @p738 :rule process_scope :premises (@p751) :args (@t697)) % 34.09/35.02 (step @p740 :rule implies_elim :premises (@p738)) % 34.09/35.02 (step @p741 false :rule chain_m_resolution :premises (@p740 @p735 @p573) :args (false (@list true false) (@list @t697 @t610))) % 34.09/35.02 ) % 34.09/35.02 % SZS output end Proof % 34.09/35.02 % cvc5 exiting %------------------------------------------------------------------------------