%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT120+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 : n019.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 36.31s 36.57s % Output : Proof 36.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT120+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:28:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.62 %----Proving TF0_NAR, FOF, or CNF % 36.31/36.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.31/36.57 --- Run --no-e-matching --full-saturate-quant at 6... % 36.31/36.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.31/36.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.31/36.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.31/36.57 % SZS status Theorem % 36.31/36.57 % SZS output start Proof % 36.31/36.57 ( % 36.31/36.57 (declare-sort $$unsorted 0) % 36.31/36.57 (declare-const tptp.v_P $$unsorted) % 36.31/36.57 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 36.31/36.57 (declare-const tptp.tc_HOL_Obool $$unsorted) % 36.31/36.57 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.v_a $$unsorted) % 36.31/36.57 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 36.31/36.57 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.v_b $$unsorted) % 36.31/36.57 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.v_i $$unsorted) % 36.31/36.57 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.31/36.57 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 36.31/36.57 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 36.31/36.57 (define @t1 () (@var "V_g_2" $$unsorted)) % 36.31/36.57 (define @t2 () (@var "V_f_2" $$unsorted)) % 36.31/36.57 (define @t3 () (@var "B_x" $$unsorted)) % 36.31/36.57 (define @t4 () (tptp.hAPP @t1 @t3)) % 36.31/36.57 (define @t5 () (tptp.hAPP @t2 @t3)) % 36.31/36.57 (define @t6 () (@list @t3)) % 36.31/36.57 (define @t7 () (@var "T_a" $$unsorted)) % 36.31/36.57 (define @t8 () (tptp.tc_fun @t7 tptp.tc_HOL_Obool)) % 36.31/36.57 (define @t9 () (tptp.c_Orderings_Otop__class_Otop @t8)) % 36.31/36.57 (define @t10 () (@var "V_x_2" $$unsorted)) % 36.31/36.57 (define @t11 () (@list @t10 @t7)) % 36.31/36.57 (define @t12 () (forall @t11 (tptp.c_member @t7 @t10 @t9))) % 36.31/36.57 (define @t13 () (@var "V_r_2" $$unsorted)) % 36.31/36.57 (define @t14 () (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t3)) % 36.31/36.57 (define @t15 () (tptp.tc_prod @t7 @t7)) % 36.31/36.57 (define @t16 () (tptp.c_member @t15 @t14 @t13)) % 36.31/36.57 (define @t17 () (tptp.c_Relation_Oirrefl @t7 @t13)) % 36.31/36.57 (define @t18 () (@list @t13 @t7)) % 36.31/36.57 (define @t19 () (@var "B_xa" $$unsorted)) % 36.31/36.57 (define @t20 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t19 @t3) @t13)) % 36.31/36.57 (define @t21 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t19) @t13)) % 36.31/36.57 (define @t22 () (or @t21 @t20)) % 36.31/36.57 (define @t23 () (= @t3 @t19)) % 36.31/36.57 (define @t24 () (not @t23)) % 36.31/36.57 (define @t25 () (=> @t24 @t22)) % 36.31/36.57 (define @t26 () (@var "V_A_2" $$unsorted)) % 36.31/36.57 (define @t27 () (tptp.c_member @t7 @t19 @t26)) % 36.31/36.57 (define @t28 () (@list @t19)) % 36.31/36.57 (define @t29 () (forall @t28 (=> @t27 @t25))) % 36.31/36.57 (define @t30 () (tptp.c_member @t7 @t3 @t26)) % 36.31/36.57 (define @t31 () (=> @t30 @t29)) % 36.31/36.57 (define @t32 () (forall @t6 @t31)) % 36.31/36.57 (define @t33 () (tptp.c_Relation_Ototal__on @t7 @t26 @t13)) % 36.31/36.57 (define @t34 () (= @t33 @t32)) % 36.31/36.57 (define @t35 () (@list @t13 @t26 @t7)) % 36.31/36.57 (define @t36 () (forall @t35 @t34)) % 36.31/36.57 (define @t37 () (@var "B_z" $$unsorted)) % 36.31/36.57 (define @t38 () (@var "B_y" $$unsorted)) % 36.31/36.57 (define @t39 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t37) @t13)) % 36.31/36.57 (define @t40 () (@list @t37)) % 36.31/36.57 (define @t41 () (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t38)) % 36.31/36.57 (define @t42 () (tptp.c_member @t15 @t41 @t13)) % 36.31/36.57 (define @t43 () (@list @t3 @t38)) % 36.31/36.57 (define @t44 () (forall @t43 (=> @t42 (forall @t40 (=> @t39 (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t37) @t13)))))) % 36.31/36.57 (define @t45 () (tptp.c_Relation_Otrans @t7 @t13)) % 36.31/36.57 (define @t46 () (@var "V_c_2" $$unsorted)) % 36.31/36.57 (define @t47 () (@var "V_a_2" $$unsorted)) % 36.31/36.57 (define @t48 () (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t46)) % 36.31/36.57 (define @t49 () (tptp.c_member @t15 @t48 @t13)) % 36.31/36.57 (define @t50 () (@var "V_b_2" $$unsorted)) % 36.31/36.57 (define @t51 () (tptp.c_Product__Type_OPair @t7 @t7 @t50 @t46)) % 36.31/36.57 (define @t52 () (tptp.c_member @t15 @t51 @t13)) % 36.31/36.57 (define @t53 () (=> @t52 @t49)) % 36.31/36.57 (define @t54 () (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t50)) % 36.31/36.57 (define @t55 () (tptp.c_member @t15 @t54 @t13)) % 36.31/36.57 (define @t56 () (=> @t55 @t53)) % 36.31/36.57 (define @t57 () (forall (@list @t46 @t50 @t47 @t13 @t7) (=> @t45 @t56))) % 36.31/36.57 (define @t58 () (@var "V_B_2" $$unsorted)) % 36.31/36.57 (define @t59 () (tptp.c_member @t7 @t46 @t58)) % 36.31/36.57 (define @t60 () (tptp.c_member @t7 @t46 @t26)) % 36.31/36.57 (define @t61 () (=> (not @t60) @t59)) % 36.31/36.57 (define @t62 () (not @t59)) % 36.31/36.57 (define @t63 () (=> @t60 @t62)) % 36.31/36.57 (define @t64 () (= @t26 @t58)) % 36.31/36.57 (define @t65 () (@var "V_L_2" $$unsorted)) % 36.31/36.57 (define @t66 () (@var "V_y_2" $$unsorted)) % 36.31/36.57 (define @t67 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t66)) % 36.31/36.57 (define @t68 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.31/36.57 (define @t69 () (tptp.c_member @t68 @t67 @t65)) % 36.31/36.57 (define @t70 () (@var "V_z_2" $$unsorted)) % 36.31/36.57 (define @t71 () (= @t10 @t70)) % 36.31/36.57 (define @t72 () (not @t71)) % 36.31/36.57 (define @t73 () (= @t10 @t66)) % 36.31/36.57 (define @t74 () (not @t73)) % 36.31/36.57 (define @t75 () (= @t66 @t70)) % 36.31/36.57 (define @t76 () (not @t75)) % 36.31/36.57 (define @t77 () (@list @t70 @t65 @t66 @t10)) % 36.31/36.57 (define @t78 () (tptp.c_Orderings_Otop__class_Otop @t7)) % 36.31/36.57 (define @t79 () (@var "T_b" $$unsorted)) % 36.31/36.57 (define @t80 () (tptp.tc_fun @t79 @t7)) % 36.31/36.57 (define @t81 () (tptp.class_Orderings_Otop @t7)) % 36.31/36.57 (define @t82 () (@list @t10 @t79 @t7)) % 36.31/36.57 (define @t83 () (tptp.c_member @t7 @t47 @t26)) % 36.31/36.57 (define @t84 () (tptp.c_member @t7 @t50 @t26)) % 36.31/36.57 (define @t85 () (= @t47 @t50)) % 36.31/36.57 (define @t86 () (@list @t26 @t7 @t50 @t47)) % 36.31/36.57 (define @t87 () (tptp.c_member @t7 @t66 @t26)) % 36.31/36.57 (define @t88 () (tptp.c_member @t7 @t10 @t26)) % 36.31/36.57 (define @t89 () (tptp.c_member @t7 @t10 @t58)) % 36.31/36.57 (define @t90 () (@list @t66 @t10 @t7)) % 36.31/36.57 (define @t91 () (tptp.hAPP @t26 @t10)) % 36.31/36.57 (define @t92 () (tptp.hBOOL @t91)) % 36.31/36.57 (define @t93 () (@list @t26 @t10 @t7)) % 36.31/36.57 (define @t94 () (@var "V_R_2" $$unsorted)) % 36.31/36.57 (define @t95 () (tptp.c_Product__Type_OPair @t7 @t79 @t10 @t66)) % 36.31/36.57 (define @t96 () (tptp.tc_prod @t7 @t79)) % 36.31/36.57 (define @t97 () (@var "V_P_2" $$unsorted)) % 36.31/36.57 (define @t98 () (tptp.c_Recdef_Osame__fst @t7 @t79 @t97 @t94)) % 36.31/36.57 (define @t99 () (@var "V_y_H_2" $$unsorted)) % 36.31/36.57 (define @t100 () (tptp.tc_prod @t96 @t96)) % 36.31/36.57 (define @t101 () (tptp.tc_prod @t79 @t79)) % 36.31/36.57 (define @t102 () (tptp.hBOOL (tptp.hAPP @t97 @t10))) % 36.31/36.57 (define @t103 () (tptp.c_Product__Type_OPair @t7 @t79 @t47 @t50)) % 36.31/36.57 (define @t104 () (tptp.c_member @t96 @t103 @t13)) % 36.31/36.57 (define @t105 () (@list @t13 @t50 @t47 @t79 @t7)) % 36.31/36.57 (define @t106 () (tptp.c_Relation_OId__on @t7 @t26)) % 36.31/36.57 (define @t107 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t66)) % 36.31/36.57 (define @t108 () (@list @t26 @t66 @t10 @t7)) % 36.31/36.57 (define @t109 () (tptp.c_Relation_ODomain @t7 @t79 @t13)) % 36.31/36.57 (define @t110 () (tptp.c_member @t7 @t47 @t109)) % 36.31/36.57 (define @t111 () (tptp.tc_fun @t68 tptp.tc_HOL_Obool)) % 36.31/36.57 (define @t112 () (tptp.c_member @t111 @t65 tptp.c_Arrow__Order__Mirabelle_OLin)) % 36.31/36.57 (define @t113 () (tptp.hAPP @t2 @t10)) % 36.31/36.57 (define @t114 () (@list @t26 @t7)) % 36.31/36.57 (define @t115 () (tptp.c_Relation_Oinv__image @t7 @t79 @t13 @t2)) % 36.31/36.57 (define @t116 () (@list @t2 @t79 @t13 @t7)) % 36.31/36.57 (define @t117 () (@list @t10 @t65)) % 36.31/36.57 (define @t118 () (tptp.c_member @t96 (tptp.c_Product__Type_OPair @t7 @t79 @t47 @t38) @t13)) % 36.31/36.57 (define @t119 () (@list @t38)) % 36.31/36.57 (define @t120 () (@list @t13 @t79 @t47 @t7)) % 36.31/36.57 (define @t121 () (tptp.tc_prod @t79 @t7)) % 36.31/36.57 (define @t122 () (tptp.c_Relation_ORange @t79 @t7 @t13)) % 36.31/36.57 (define @t123 () (= @t66 @t50)) % 36.31/36.57 (define @t124 () (= @t10 @t47)) % 36.31/36.57 (define @t125 () (= @t10 @t50)) % 36.31/36.57 (define @t126 () (not @t85)) % 36.31/36.57 (define @t127 () (@list @t66 @t10 @t65 @t50 @t47)) % 36.31/36.57 (define @t128 () (= @t66 @t47)) % 36.31/36.57 (define @t129 () (@list @t65 @t66 @t10)) % 36.31/36.57 (define @t130 () (@var "V_s_2" $$unsorted)) % 36.31/36.57 (define @t131 () (@var "V_b_H_2" $$unsorted)) % 36.31/36.57 (define @t132 () (@var "V_a_H_2" $$unsorted)) % 36.31/36.57 (define @t133 () (= @t47 @t132)) % 36.31/36.57 (define @t134 () (tptp.c_Product__Type_OPair @t7 @t79 @t132 @t131)) % 36.31/36.57 (define @t135 () (tptp.c_member @t121 (tptp.c_Product__Type_OPair @t79 @t7 @t3 @t50) @t13)) % 36.31/36.57 (define @t136 () (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t47)) % 36.31/36.57 (define @t137 () (tptp.c_member @t15 @t136 @t13)) % 36.31/36.57 (define @t138 () (tptp.c_Relation_Orefl__on @t7 @t26 @t13)) % 36.31/36.57 (define @t139 () (@list @t47 @t13 @t26 @t7)) % 36.31/36.57 (define @t140 () (tptp.c_member @t15 @t107 @t13)) % 36.31/36.57 (define @t141 () (=> @t140 @t88)) % 36.31/36.57 (define @t142 () (@list @t66 @t10 @t13 @t26 @t7)) % 36.31/36.57 (define @t143 () (forall @t142 (=> @t138 @t141))) % 36.31/36.57 (define @t144 () (@var "V_R2_2" $$unsorted)) % 36.31/36.57 (define @t145 () (@var "V_R1_2" $$unsorted)) % 36.31/36.57 (define @t146 () (tptp.c_Order__Relation_Opreorder__on @t7 @t26 @t13)) % 36.31/36.57 (define @t147 () (tptp.c_Wellfounded_Oacc @t7 @t13)) % 36.31/36.57 (define @t148 () (tptp.c_member @t7 @t47 @t147)) % 36.31/36.57 (define @t149 () (tptp.c_member @t7 @t50 @t147)) % 36.31/36.57 (define @t150 () (tptp.c_member @t7 @t3 @t147)) % 36.31/36.57 (define @t151 () (@list @t13 @t47 @t7)) % 36.31/36.57 (define @t152 () (@var "B_g" $$unsorted)) % 36.31/36.57 (define @t153 () (@var "V_Fa_2" $$unsorted)) % 36.31/36.57 (define @t154 () (@var "V_a1_2" $$unsorted)) % 36.31/36.57 (define @t155 () (forall @t40 (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t154) @t94) (tptp.c_Recdef_Owfrec__rel @t7 @t79 @t94 @t153 @t37 (tptp.hAPP @t152 @t37))))) % 36.31/36.57 (define @t156 () (tptp.hAPP (tptp.hAPP @t153 @t152) @t154)) % 36.31/36.57 (define @t157 () (@var "V_a2_2" $$unsorted)) % 36.31/36.57 (define @t158 () (tptp.hAPP (tptp.hAPP @t153 @t157) @t154)) % 36.31/36.57 (define @t159 () (@list @t152)) % 36.31/36.57 (define @t160 () (@list @t157 @t154 @t153 @t94 @t79 @t7)) % 36.31/36.57 (define @t161 () (tptp.c_Relation_Osingle__valued @t7 @t79 @t13)) % 36.31/36.57 (define @t162 () (forall @t43 (=> (tptp.c_member @t96 (tptp.c_Product__Type_OPair @t7 @t79 @t3 @t38) @t13) (forall @t40 (=> (tptp.c_member @t96 (tptp.c_Product__Type_OPair @t7 @t79 @t3 @t37) @t13) (= @t38 @t37)))))) % 36.31/36.57 (define @t163 () (@list @t13 @t79 @t7)) % 36.31/36.57 (define @t164 () (tptp.c_Recdef_Ocut @t7 @t79 @t2 @t13 @t47)) % 36.31/36.57 (define @t165 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t47)) % 36.31/36.57 (define @t166 () (tptp.c_member @t15 @t165 @t13)) % 36.31/36.57 (define @t167 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t10) @t13)) % 36.31/36.57 (define @t168 () (@var "B_f" $$unsorted)) % 36.31/36.57 (define @t169 () (@var "B_R" $$unsorted)) % 36.31/36.57 (define @t170 () (tptp.c_member @t7 @t10 @t147)) % 36.31/36.57 (define @t171 () (tptp.c_Wellfounded_Oacc @t7 @t94)) % 36.31/36.57 (define @t172 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t10) @t94)) % 36.31/36.57 (define @t173 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t13)) % 36.31/36.57 (define @t174 () (tptp.c_Product__Type_OPair @t7 @t7 @t50 @t47)) % 36.31/36.57 (define @t175 () (tptp.c_member @t15 @t174 @t173)) % 36.31/36.57 (define @t176 () (tptp.c_Relation_OId @t7)) % 36.31/36.57 (define @t177 () (@list @t47 @t7)) % 36.31/36.57 (define @t178 () (@list @t7)) % 36.31/36.57 (define @t179 () (@list @t50 @t47 @t7)) % 36.31/36.57 (define @t180 () (@var "V_p_2" $$unsorted)) % 36.31/36.57 (define @t181 () (tptp.c_member @t15 @t180 @t13)) % 36.31/36.57 (define @t182 () (@list @t13 @t180 @t7)) % 36.31/36.57 (define @t183 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t94)) % 36.31/36.57 (define @t184 () (tptp.c_member @t15 @t107 @t183)) % 36.31/36.57 (define @t185 () (tptp.c_Product__Type_OPair @t7 @t7 @t66 @t70)) % 36.31/36.57 (define @t186 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t70)) % 36.31/36.57 (define @t187 () (tptp.c_member @t15 @t186 @t173)) % 36.31/36.57 (define @t188 () (tptp.c_member @t15 @t107 @t173)) % 36.31/36.57 (define @t189 () (@list @t94 @t7)) % 36.31/36.57 (define @t190 () (tptp.c_member @t15 @t48 @t173)) % 36.31/36.57 (define @t191 () (tptp.c_member @t15 @t51 @t173)) % 36.31/36.57 (define @t192 () (=> @t191 @t190)) % 36.31/36.57 (define @t193 () (tptp.c_member @t15 @t54 @t173)) % 36.31/36.57 (define @t194 () (@list @t46 @t13 @t50 @t47 @t7)) % 36.31/36.57 (define @t195 () (@var "V_by_2" $$unsorted)) % 36.31/36.57 (define @t196 () (@var "V_bx_2" $$unsorted)) % 36.31/36.57 (define @t197 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 @t196) @t195))) % 36.31/36.57 (define @t198 () (@var "B_ba" $$unsorted)) % 36.31/36.57 (define @t199 () (@var "B_aa" $$unsorted)) % 36.31/36.57 (define @t200 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 @t199) @t198))) % 36.31/36.57 (define @t201 () (@var "B_b" $$unsorted)) % 36.31/36.57 (define @t202 () (@var "B_a" $$unsorted)) % 36.31/36.57 (define @t203 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 @t202) @t201))) % 36.31/36.57 (define @t204 () (tptp.c_Product__Type_OPair @t7 @t79 @t199 @t198)) % 36.31/36.57 (define @t205 () (tptp.c_Product__Type_OPair @t7 @t79 @t202 @t201)) % 36.31/36.57 (define @t206 () (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t205 @t204) @t13)) % 36.31/36.57 (define @t207 () (tptp.c_Transitive__Closure_Ortrancl @t96 @t13)) % 36.31/36.57 (define @t208 () (@var "V_ay_2" $$unsorted)) % 36.31/36.57 (define @t209 () (@var "V_ax_2" $$unsorted)) % 36.31/36.57 (define @t210 () (tptp.c_Product__Type_OPair @t7 @t79 @t209 @t208)) % 36.31/36.57 (define @t211 () (@list @t202 @t201)) % 36.31/36.57 (define @t212 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 @t209) @t208))) % 36.31/36.57 (define @t213 () (tptp.c_Product__Type_OPair @t7 @t79 @t196 @t195)) % 36.31/36.57 (define @t214 () (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t210 @t213) @t207)) % 36.31/36.57 (define @t215 () (@list @t97 @t13 @t195 @t196 @t208 @t209 @t79 @t7)) % 36.31/36.57 (define @t216 () (@var "V_zb_2" $$unsorted)) % 36.31/36.57 (define @t217 () (@var "V_za_2" $$unsorted)) % 36.31/36.57 (define @t218 () (tptp.c_Product__Type_OPair @t7 @t79 @t217 @t216)) % 36.31/36.57 (define @t219 () (@var "V_xb_2" $$unsorted)) % 36.31/36.57 (define @t220 () (@var "V_xa_2" $$unsorted)) % 36.31/36.57 (define @t221 () (tptp.c_Product__Type_OPair @t7 @t79 @t220 @t219)) % 36.31/36.57 (define @t222 () (tptp.hBOOL (tptp.hAPP @t97 @t50))) % 36.31/36.57 (define @t223 () (tptp.hBOOL (tptp.hAPP @t97 @t37))) % 36.31/36.57 (define @t224 () (tptp.hBOOL (tptp.hAPP @t97 @t38))) % 36.31/36.57 (define @t225 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t38) @t173)) % 36.31/36.57 (define @t226 () (tptp.hBOOL (tptp.hAPP @t97 @t47))) % 36.31/36.57 (define @t227 () (@list @t97 @t13 @t50 @t47 @t7)) % 36.31/36.57 (define @t228 () (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t70)) % 36.31/36.57 (define @t229 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t38) @t13)) % 36.31/36.57 (define @t230 () (@list @t13 @t70 @t10 @t7)) % 36.31/36.57 (define @t231 () (@list @t13 @t50 @t47 @t7)) % 36.31/36.57 (define @t232 () (tptp.c_Transitive__Closure_Otrancl @t7 @t13)) % 36.31/36.57 (define @t233 () (tptp.c_member @t15 @t54 @t232)) % 36.31/36.57 (define @t234 () (tptp.tc_fun @t15 tptp.tc_HOL_Obool)) % 36.31/36.57 (define @t235 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t13 @t176)) % 36.31/36.57 (define @t236 () (@var "B_L" $$unsorted)) % 36.31/36.57 (define @t237 () (@var "V_b_H" $$unsorted)) % 36.31/36.57 (define @t238 () (@var "V_b" $$unsorted)) % 36.31/36.57 (define @t239 () (@var "V_a_H" $$unsorted)) % 36.31/36.57 (define @t240 () (@var "V_a" $$unsorted)) % 36.31/36.57 (define @t241 () (@var "B_x1" $$unsorted)) % 36.31/36.57 (define @t242 () (tptp.c_member @t15 @t174 @t13)) % 36.31/36.57 (define @t243 () (tptp.c_Relation_Oantisym @t7 @t13)) % 36.31/36.57 (define @t244 () (@list @t50 @t47 @t13 @t7)) % 36.31/36.57 (define @t245 () (= @t3 @t38)) % 36.31/36.57 (define @t246 () (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t3)) % 36.31/36.57 (define @t247 () (forall @t43 (=> @t42 (=> (tptp.c_member @t15 @t246 @t13) @t245)))) % 36.31/36.57 (define @t248 () (tptp.hAPP @t58 @t10)) % 36.31/36.57 (define @t249 () (tptp.hBOOL @t248)) % 36.31/36.57 (define @t250 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t58)) % 36.31/36.57 (define @t251 () (tptp.hBOOL (tptp.hAPP @t250 @t10))) % 36.31/36.57 (define @t252 () (@list @t10 @t58 @t26 @t7)) % 36.31/36.57 (define @t253 () (not @t249)) % 36.31/36.57 (define @t254 () (tptp.c_member @t7 @t46 @t250)) % 36.31/36.57 (define @t255 () (@list @t58 @t26 @t46 @t7)) % 36.31/36.57 (define @t256 () (@list @t26 @t58 @t46 @t7)) % 36.31/36.57 (define @t257 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t58 @t26)) % 36.31/36.57 (define @t258 () (@list @t58 @t26 @t7)) % 36.31/36.57 (define @t259 () (@var "V_C_2" $$unsorted)) % 36.31/36.57 (define @t260 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t259)) % 36.31/36.57 (define @t261 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t58 @t259)) % 36.31/36.57 (define @t262 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t261)) % 36.31/36.57 (define @t263 () (@list @t259 @t58 @t26 @t7)) % 36.31/36.57 (define @t264 () (tptp.hBOOL (tptp.hAPP @t97 @t3))) % 36.31/36.57 (define @t265 () (tptp.c_member @t7 @t3 @t58)) % 36.31/36.57 (define @t266 () (tptp.c_member @t7 @t3 @t250)) % 36.31/36.57 (define @t267 () (@list @t97 @t58 @t26 @t7)) % 36.31/36.57 (define @t268 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t13 @t130)) % 36.31/36.57 (define @t269 () (tptp.c_Relation_Orefl__on @t7 @t58 @t130)) % 36.31/36.57 (define @t270 () (@list @t130 @t58 @t13 @t26 @t7)) % 36.31/36.57 (define @t271 () (tptp.c_Relation_ORange @t79 @t7 @t58)) % 36.31/36.57 (define @t272 () (tptp.c_Relation_ORange @t79 @t7 @t26)) % 36.31/36.57 (define @t273 () (tptp.tc_fun @t121 tptp.tc_HOL_Obool)) % 36.31/36.57 (define @t274 () (tptp.c_Relation_ODomain @t7 @t79 @t58)) % 36.31/36.57 (define @t275 () (tptp.c_Relation_ODomain @t7 @t79 @t26)) % 36.31/36.57 (define @t276 () (tptp.tc_fun @t96 tptp.tc_HOL_Obool)) % 36.31/36.57 (define @t277 () (@list @t58 @t26 @t79 @t7)) % 36.31/36.57 (define @t278 () (tptp.c_member @t15 @t180 @t232)) % 36.31/36.57 (define @t279 () (@list @t58 @t7)) % 36.31/36.57 (define @t280 () (tptp.c_Transitive__Closure_Otrancl @t7 @t94)) % 36.31/36.57 (define @t281 () (@var "V_S_2" $$unsorted)) % 36.31/36.57 (define @t282 () (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t94 @t281))) % 36.31/36.57 (define @t283 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t281)) % 36.31/36.57 (define @t284 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t183 @t283)) % 36.31/36.57 (define @t285 () (@list @t281 @t94 @t7)) % 36.31/36.57 (define @t286 () (tptp.c_Relation_ODomain @t7 @t7 @t13)) % 36.31/36.57 (define @t287 () (tptp.c_Relation_ORange @t7 @t7 @t13)) % 36.31/36.57 (define @t288 () (tptp.c_member @t15 @t48 @t232)) % 36.31/36.57 (define @t289 () (=> (tptp.c_member @t15 @t51 @t232) @t288)) % 36.31/36.57 (define @t290 () (=> @t52 @t288)) % 36.31/36.57 (define @t291 () (tptp.c_member @t15 @t107 @t280)) % 36.31/36.57 (define @t292 () (@list @t94 @t66 @t10 @t7)) % 36.31/36.57 (define @t293 () (=> @t191 @t288)) % 36.31/36.57 (define @t294 () (tptp.c_member @t15 @t186 @t232)) % 36.31/36.57 (define @t295 () (@var "V_f1_2" $$unsorted)) % 36.31/36.57 (define @t296 () (@var "T_c" $$unsorted)) % 36.31/36.57 (define @t297 () (tptp.c_Product__Type_OPair @t79 @t296 @t47 @t50)) % 36.31/36.57 (define @t298 () (tptp.hAPP @t1 @t10)) % 36.31/36.57 (define @t299 () (tptp.class_Lattices_Olattice @t7)) % 36.31/36.57 (define @t300 () (@list @t10 @t1 @t2 @t79 @t7)) % 36.31/36.57 (define @t301 () (@var "V_x" $$unsorted)) % 36.31/36.57 (define @t302 () (tptp.class_Lattices_Obounded__lattice__top @t7)) % 36.31/36.57 (define @t303 () (@list @t301 @t7)) % 36.31/36.57 (define @t304 () (tptp.c_Order__Relation_Opartial__order__on @t7 @t26 @t13)) % 36.31/36.57 (define @t305 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t97)) % 36.31/36.57 (define @t306 () (tptp.c_member @t15 @t54 @t305)) % 36.31/36.57 (define @t307 () (@var "V_Q_2" $$unsorted)) % 36.31/36.57 (define @t308 () (tptp.c_member @t15 @t54 (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t97 @t307)))) % 36.31/36.57 (define @t309 () (@list @t307 @t97 @t50 @t47 @t7)) % 36.31/36.57 (define @t310 () (tptp.class_Lattices_Osemilattice__sup @t7)) % 36.31/36.57 (define @t311 () (@list @t240 @t7)) % 36.31/36.57 (define @t312 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t240 @t238)) % 36.31/36.57 (define @t313 () (@list @t238 @t240 @t7)) % 36.31/36.57 (define @t314 () (@var "V_y" $$unsorted)) % 36.31/36.57 (define @t315 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t314 @t301)) % 36.31/36.57 (define @t316 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t314)) % 36.31/36.57 (define @t317 () (= @t316 @t315)) % 36.31/36.57 (define @t318 () (@list @t314 @t301 @t7)) % 36.31/36.57 (define @t319 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t316) @t316)) % 36.31/36.57 (define @t320 () (@var "V_c" $$unsorted)) % 36.31/36.57 (define @t321 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t240 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t238 @t320))) % 36.31/36.57 (define @t322 () (@list @t320 @t240 @t238 @t7)) % 36.31/36.57 (define @t323 () (@var "V_z" $$unsorted)) % 36.31/36.57 (define @t324 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t323)) % 36.31/36.57 (define @t325 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t314 @t323)) % 36.31/36.57 (define @t326 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t325)) % 36.31/36.57 (define @t327 () (= @t326 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t314 @t324))) % 36.31/36.57 (define @t328 () (@list @t323 @t314 @t301 @t7)) % 36.31/36.57 (define @t329 () (@list @t320 @t238 @t240 @t7)) % 36.31/36.57 (define @t330 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t316 @t323) @t326)) % 36.31/36.57 (define @t331 () (tptp.c_Order__Relation_Olinear__order__on @t7 @t26 @t13)) % 36.31/36.57 (define @t332 () (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t66)) % 36.31/36.57 (define @t333 () (tptp.c_Product__Type_OPair @t7 @t7 @t10 @t37)) % 36.31/36.57 (define @t334 () (forall @t6 (not (tptp.c_member @t15 @t14 @t232)))) % 36.31/36.57 (define @t335 () (tptp.c_Wellfounded_Oacyclic @t7 @t13)) % 36.31/36.57 (define @t336 () (tptp.c_Groups_Ominus__class_Ominus @t234 @t13 @t176)) % 36.31/36.57 (define @t337 () (not @t188)) % 36.31/36.57 (define @t338 () (tptp.c_Set_Oinsert @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t66 @t10) @t13)) % 36.31/36.57 (define @t339 () (@list @t13 @t10 @t66 @t7)) % 36.31/36.57 (define @t340 () (tptp.c_Relation_OField @t7 @t13)) % 36.31/36.57 (define @t341 () (tptp.c_Set_Oinsert @t7 @t50 @t58)) % 36.31/36.57 (define @t342 () (tptp.c_member @t7 @t47 @t341)) % 36.31/36.57 (define @t343 () (tptp.c_member @t7 @t47 @t58)) % 36.31/36.57 (define @t344 () (@list @t50 @t58 @t47 @t7)) % 36.31/36.57 (define @t345 () (tptp.c_member @t7 @t47 (tptp.c_Set_Oinsert @t7 @t50 @t26))) % 36.31/36.57 (define @t346 () (@list @t26 @t50 @t47 @t7)) % 36.31/36.57 (define @t347 () (=> @t60 @t59)) % 36.31/36.57 (define @t348 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t58)) % 36.31/36.57 (define @t349 () (tptp.c_member @t7 @t46 @t348)) % 36.31/36.57 (define @t350 () (tptp.c_Product__Type_OPair @t79 @t7 @t47 @t50)) % 36.31/36.57 (define @t351 () (tptp.c_Set_Oinsert @t7 @t47 @t58)) % 36.31/36.57 (define @t352 () (tptp.c_Set_Oinsert @t7 @t10 @t58)) % 36.31/36.57 (define @t353 () (tptp.c_Set_Oinsert @t7 @t10 @t26)) % 36.31/36.57 (define @t354 () (not @t89)) % 36.31/36.57 (define @t355 () (not @t88)) % 36.31/36.57 (define @t356 () (@list @t58 @t26 @t10 @t7)) % 36.31/36.57 (define @t357 () (tptp.c_Set_Oinsert @t7 @t47 @t26)) % 36.31/36.57 (define @t358 () (@list @t26 @t47 @t7)) % 36.31/36.57 (define @t359 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t353 @t58)) % 36.31/36.57 (define @t360 () (=> @t89 (= @t359 @t348))) % 36.31/36.57 (define @t361 () (@list @t26 @t58 @t10 @t7)) % 36.31/36.57 (define @t362 () (tptp.c_Set_Oinsert @t7 @t66 @t26)) % 36.31/36.57 (define @t363 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t58 @t259)) % 36.31/36.57 (define @t364 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t259)) % 36.31/36.57 (define @t365 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t58 @t26)) % 36.31/36.57 (define @t366 () (@list @t26 @t58 @t7)) % 36.31/36.57 (define @t367 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t365)) % 36.31/36.57 (define @t368 () (@list @t58 @t47 @t26 @t7)) % 36.31/36.57 (define @t369 () (tptp.c_Relation_OField @t7 @t130)) % 36.31/36.57 (define @t370 () (@list @t130 @t13 @t7)) % 36.31/36.57 (define @t371 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 36.31/36.57 (define @t372 () (tptp.c_Set_Oinsert @t7 @t50 @t371)) % 36.31/36.57 (define @t373 () (tptp.c_Set_Oinsert @t7 @t47 @t372)) % 36.31/36.57 (define @t374 () (tptp.c_Wellfounded_Owf @t7 @t13)) % 36.31/36.57 (define @t375 () (@var "B_c" $$unsorted)) % 36.31/36.57 (define @t376 () (not @t55)) % 36.31/36.57 (define @t377 () (tptp.class_Orderings_Opreorder @t7)) % 36.31/36.57 (define @t378 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t58 @t26)) % 36.31/36.57 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t58)) % 36.31/36.57 (define @t380 () (tptp.c_Orderings_Obot__class_Obot @t234)) % 36.31/36.57 (define @t381 () (@var "V_rb_2" $$unsorted)) % 36.31/36.57 (define @t382 () (@var "V_ra_2" $$unsorted)) % 36.31/36.57 (define @t383 () (tptp.c_Set_Oinsert @t7 @t10 @t371)) % 36.31/36.57 (define @t384 () (= @t26 @t371)) % 36.31/36.57 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t13 @t130)) % 36.31/36.57 (define @t386 () (tptp.c_Orderings_Obot__class_Obot @t276)) % 36.31/36.57 (define @t387 () (tptp.c_Orderings_Obot__class_Obot @t273)) % 36.31/36.57 (define @t388 () (tptp.c_Orderings_Obot__class_Obot @t7)) % 36.31/36.57 (define @t389 () (tptp.class_Orderings_Obot @t7)) % 36.31/36.57 (define @t390 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t7 @t79) @t2 @t1)) % 36.31/36.57 (define @t391 () (tptp.class_Orderings_Oord @t79)) % 36.31/36.57 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t314 @t301)) % 36.31/36.57 (define @t393 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t314)) % 36.31/36.57 (define @t394 () (tptp.class_Orderings_Olinorder @t7)) % 36.31/36.57 (define @t395 () (@list @t7 @t58 @t26)) % 36.31/36.57 (define @t396 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t66 @t10)) % 36.31/36.57 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 @t66)) % 36.31/36.57 (define @t398 () (tptp.class_Orderings_Oorder @t7)) % 36.31/36.57 (define @t399 () (tptp.hBOOL (tptp.hAPP @t307 @t10))) % 36.31/36.57 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t97 @t307)) % 36.31/36.57 (define @t401 () (= @t301 @t314)) % 36.31/36.57 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t240 @t320)) % 36.31/36.57 (define @t403 () (= @t240 @t238)) % 36.31/36.57 (define @t404 () (tptp.class_Orderings_Oord @t7)) % 36.31/36.57 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t320 @t240)) % 36.31/36.57 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t259)) % 36.31/36.57 (define @t407 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t58 @t259)) % 36.31/36.57 (define @t408 () (= @t238 @t320)) % 36.31/36.57 (define @t409 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t323)) % 36.31/36.57 (define @t410 () (@list @t301 @t314 @t7)) % 36.31/36.57 (define @t411 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t323 @t301)) % 36.31/36.57 (define @t412 () (@list @t323 @t301 @t314 @t7)) % 36.31/36.57 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq @t276 @t13 @t130)) % 36.31/36.57 (define @t414 () (@list @t130 @t13 @t79 @t7)) % 36.31/36.57 (define @t415 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t316)) % 36.31/36.57 (define @t416 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t314 @t316)) % 36.31/36.57 (define @t417 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t10 @t66)) % 36.31/36.57 (define @t418 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 @t70)) % 36.31/36.57 (define @t419 () (@list @t70 @t66 @t10 @t7)) % 36.31/36.57 (define @t420 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t312)) % 36.31/36.57 (define @t421 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t240)) % 36.31/36.57 (define @t422 () (@list @t238 @t240 @t301 @t7)) % 36.31/36.57 (define @t423 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t238)) % 36.31/36.57 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t312 @t301)) % 36.31/36.57 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t238 @t301)) % 36.31/36.57 (define @t426 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t240 @t301)) % 36.31/36.57 (define @t427 () (@list @t238 @t301 @t240 @t7)) % 36.31/36.57 (define @t428 () (@var "V_d" $$unsorted)) % 36.31/36.57 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t238 @t428)) % 36.31/36.57 (define @t430 () (@list @t428 @t238 @t320 @t240 @t7)) % 36.31/36.57 (define @t431 () (not @t30)) % 36.31/36.57 (define @t432 () (not @t83)) % 36.31/36.57 (define @t433 () (@var "V_D_2" $$unsorted)) % 36.31/36.57 (define @t434 () (= @t250 @t58)) % 36.31/36.57 (define @t435 () (@list @t58 @t259 @t26 @t7)) % 36.31/36.57 (define @t436 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t58 @t433)) % 36.31/36.57 (define @t437 () (@list @t433 @t58 @t259 @t26 @t7)) % 36.31/36.57 (define @t438 () (@var "V_d_2" $$unsorted)) % 36.31/36.57 (define @t439 () (@list @t438 @t46 @t50 @t47 @t7)) % 36.31/36.57 (define @t440 () (tptp.c_Set_Oinsert @t7 @t47 @t371)) % 36.31/36.57 (define @t441 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t130)) % 36.31/36.57 (define @t442 () (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t173 @t441)) % 36.31/36.57 (define @t443 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t352)) % 36.31/36.57 (define @t444 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t383)) % 36.31/36.57 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t444 @t58)) % 36.31/36.57 (define @t446 () (@list @t58 @t10 @t26 @t7)) % 36.31/36.57 (define @t447 () (tptp.class_Lattices_Obounded__lattice__bot @t7)) % 36.31/36.57 (define @t448 () (= @t50 @t47)) % 36.31/36.57 (define @t449 () (tptp.c_member @t7 @t50 @t440)) % 36.31/36.57 (define @t450 () (@list @t47 @t50 @t7)) % 36.31/36.57 (define @t451 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t351)) % 36.31/36.57 (define @t452 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t440)) % 36.31/36.57 (define @t453 () (tptp.c_Set_Oinsert @t7 @t47 @t452)) % 36.31/36.57 (define @t454 () (tptp.c_Relation_OImage @t7 @t7 @t13 @t372)) % 36.31/36.57 (define @t455 () (tptp.c_Relation_OImage @t7 @t7 @t13 @t440)) % 36.31/36.57 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t455 @t454)) % 36.31/36.57 (define @t457 () (tptp.c_member @t7 @t50 @t340)) % 36.31/36.57 (define @t458 () (tptp.c_member @t7 @t47 @t340)) % 36.31/36.57 (define @t459 () (tptp.c_Order__Relation_Opreorder__on @t7 @t340 @t13)) % 36.31/36.57 (define @t460 () (tptp.tc_fun @t79 tptp.tc_HOL_Obool)) % 36.31/36.57 (define @t461 () (tptp.c_Orderings_Obot__class_Obot @t460)) % 36.31/36.57 (define @t462 () (tptp.c_Relation_OImage @t7 @t79 @t13 @t26)) % 36.31/36.57 (define @t463 () (@var "V_A_H_2" $$unsorted)) % 36.31/36.57 (define @t464 () (@var "V_r_H_2" $$unsorted)) % 36.31/36.57 (define @t465 () (tptp.c_Relation_OImage @t79 @t7 @t94 @t58)) % 36.31/36.57 (define @t466 () (tptp.c_Relation_OImage @t79 @t7 @t94 @t26)) % 36.31/36.57 (define @t467 () (@var "V_X_2" $$unsorted)) % 36.31/36.57 (define @t468 () (tptp.c_member @t79 @t3 @t26)) % 36.31/36.57 (define @t469 () (tptp.c_member @t7 @t50 (tptp.c_Relation_OImage @t79 @t7 @t13 @t26))) % 36.31/36.57 (define @t470 () (@list @t26 @t13 @t79 @t50 @t7)) % 36.31/36.57 (define @t471 () (= @t455 @t454)) % 36.31/36.57 (define @t472 () (=> @t458 (=> @t457 (= @t471 @t85)))) % 36.31/36.57 (define @t473 () (tptp.c_member @t7 @t19 @t58)) % 36.31/36.57 (define @t474 () (@var "V_a4_2" $$unsorted)) % 36.31/36.57 (define @t475 () (@var "V_a3_2" $$unsorted)) % 36.31/36.57 (define @t476 () (@var "V_a5_2" $$unsorted)) % 36.31/36.57 (define @t477 () (tptp.hAPP (tptp.hAPP @t475 @t154) @t476)) % 36.31/36.57 (define @t478 () (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t47 @t50) (tptp.c_Groups_Ominus__class_Ominus @t7 @t46 @t438))) % 36.31/36.57 (define @t479 () (=> @t84 @t55)) % 36.31/36.57 (define @t480 () (tptp.c_Equiv__Relations_Oequiv @t7 @t26 @t13)) % 36.31/36.57 (define @t481 () (@var "V_H_2" $$unsorted)) % 36.31/36.57 (define @t482 () (tptp.c_Recdef_Owfrec @t7 @t79 @t13 @t481)) % 36.31/36.57 (define @t483 () (@list @t50 @t47 @t13 @t26 @t7)) % 36.31/36.57 (define @t484 () (tptp.c_Set_Oinsert @t7 @t66 @t371)) % 36.31/36.57 (define @t485 () (= (tptp.c_Relation_OImage @t7 @t7 @t13 @t383) (tptp.c_Relation_OImage @t7 @t7 @t13 @t484))) % 36.31/36.57 (define @t486 () (@var "B_M" $$unsorted)) % 36.31/36.57 (define @t487 () (tptp.c_Recdef_Owfrec @t7 @t79 @t169 @t486)) % 36.31/36.57 (define @t488 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t58)) % 36.31/36.57 (define @t489 () (tptp.hBOOL (tptp.hAPP @t488 @t10))) % 36.31/36.57 (define @t490 () (tptp.c_member @t7 @t46 @t488)) % 36.31/36.57 (define @t491 () (@var "V_Y_2" $$unsorted)) % 36.31/36.57 (define @t492 () (tptp.c_Equiv__Relations_Oquotient @t7 @t26 @t13)) % 36.31/36.57 (define @t493 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t8 tptp.tc_HOL_Obool))) % 36.31/36.57 (define @t494 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t314)) % 36.31/36.57 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t494 @t301)) % 36.31/36.57 (define @t496 () (tptp.class_Lattices_Osemilattice__inf @t7)) % 36.31/36.57 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t494 @t314)) % 36.31/36.57 (define @t498 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t10 @t66)) % 36.31/36.57 (define @t499 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t240 @t238)) % 36.31/36.57 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t499 @t301)) % 36.31/36.57 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t499)) % 36.31/36.57 (define @t502 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t314 @t323)) % 36.31/36.57 (define @t503 () (@list @t464 @t13 @t7)) % 36.31/36.57 (define @t504 () (= @t488 @t371)) % 36.31/36.57 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t259 @t26)) % 36.31/36.57 (define @t506 () (@list @t58 @t26 @t259 @t7)) % 36.31/36.57 (define @t507 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t316 @t324)) % 36.31/36.57 (define @t508 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t502)) % 36.31/36.57 (define @t509 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t325)) % 36.31/36.57 (define @t510 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t323)) % 36.31/36.57 (define @t511 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t494 @t510)) % 36.31/36.57 (define @t512 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t58 @t259)) % 36.31/36.57 (define @t513 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t351 @t259)) % 36.31/36.57 (define @t514 () (tptp.c_member @t7 @t47 @t259)) % 36.31/36.57 (define @t515 () (=> @t514 (= @t513 (tptp.c_Set_Oinsert @t7 @t47 @t512)))) % 36.31/36.57 (define @t516 () (@list @t58 @t259 @t47 @t7)) % 36.31/36.57 (define @t517 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t351)) % 36.31/36.57 (define @t518 () (=> @t83 (= @t517 (tptp.c_Set_Oinsert @t7 @t47 @t488)))) % 36.31/36.57 (define @t519 () (@list @t58 @t26 @t47 @t7)) % 36.31/36.57 (define @t520 () (=> (not @t514) (= @t513 @t512))) % 36.31/36.57 (define @t521 () (=> @t432 (= @t517 @t488))) % 36.31/36.57 (define @t522 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t261)) % 36.31/36.57 (define @t523 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t314 @t301)) % 36.31/36.57 (define @t524 () (= @t494 @t523)) % 36.31/36.57 (define @t525 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t494) @t494)) % 36.31/36.57 (define @t526 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t240 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t238 @t320))) % 36.31/36.57 (define @t527 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t502)) % 36.31/36.57 (define @t528 () (= @t527 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t314 @t510))) % 36.31/36.57 (define @t529 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t494 @t323) @t527)) % 36.31/36.57 (define @t530 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t58 @t26)) % 36.31/36.57 (define @t531 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t259)) % 36.31/36.57 (define @t532 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t512)) % 36.31/36.57 (define @t533 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t234 @t13 @t130)) % 36.31/36.57 (define @t534 () (tptp.class_Lattices_Odistrib__lattice @t7)) % 36.31/36.57 (define @t535 () (@list @t301 @t323 @t314 @t7)) % 36.31/36.57 (define @t536 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t531 @t512)) % 36.31/36.57 (define @t537 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t259 @t26)) % 36.31/36.57 (define @t538 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t259 @t26)) % 36.31/36.57 (define @t539 () (@list @t26 @t259 @t58 @t7)) % 36.31/36.57 (define @t540 () (@var "T_1" $$unsorted)) % 36.31/36.57 (define @t541 () (@var "T_2" $$unsorted)) % 36.31/36.57 (define @t542 () (tptp.tc_fun @t541 @t540)) % 36.31/36.57 (define @t543 () (tptp.class_Lattices_Obounded__lattice @t540)) % 36.31/36.57 (define @t544 () (@list @t541 @t540)) % 36.31/36.57 (define @t545 () (tptp.class_Lattices_Olattice @t540)) % 36.31/36.57 (define @t546 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t10) @t66))) % 36.31/36.57 (define @t547 () (@list @t66 @t10)) % 36.31/36.57 (define @t548 () (tptp.v_F @t3)) % 36.31/36.57 (define @t549 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_HOL_Obool))) % 36.31/36.57 (define @t550 () (and (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t548) (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t548) (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t548))) % 36.31/36.57 (define @t551 () (tptp.hAPP @t3 @t19)) % 36.31/36.57 (define @t552 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t551)) % 36.31/36.57 (define @t553 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t551)) % 36.31/36.57 (define @t554 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t551)) % 36.31/36.57 (define @t555 () (forall @t28 (and @t554 @t553 @t552))) % 36.31/36.57 (define @t556 () (=> @t555 @t550)) % 36.31/36.57 (define @t557 () (forall @t6 @t556)) % 36.31/36.57 (define @t558 () (@var "B_P" $$unsorted)) % 36.31/36.57 (define @t559 () (tptp.v_F @t558)) % 36.31/36.57 (define @t560 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t202 @t201)) % 36.31/36.57 (define @t561 () (tptp.c_member @t68 @t560 @t559)) % 36.31/36.57 (define @t562 () (tptp.hAPP @t558 tptp.v_i)) % 36.31/36.57 (define @t563 () (tptp.c_member @t68 @t560 @t562)) % 36.31/36.57 (define @t564 () (=> @t563 @t561)) % 36.31/36.57 (define @t565 () (= @t202 @t201)) % 36.31/36.57 (define @t566 () (not @t565)) % 36.31/36.57 (define @t567 () (forall @t211 (=> @t566 @t564))) % 36.31/36.57 (define @t568 () (tptp.hAPP @t558 @t3)) % 36.31/36.57 (define @t569 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t568)) % 36.31/36.57 (define @t570 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t568)) % 36.31/36.57 (define @t571 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t568)) % 36.31/36.57 (define @t572 () (forall @t6 (and @t571 @t570 @t569))) % 36.31/36.57 (define @t573 () (=> @t572 @t567)) % 36.31/36.57 (define @t574 () (@list @t558)) % 36.31/36.57 (define @t575 () (forall @t574 @t573)) % 36.31/36.57 (define @t576 () (tptp.hAPP tptp.v_P @t3)) % 36.31/36.57 (define @t577 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t576)) % 36.31/36.57 (define @t578 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t576)) % 36.31/36.57 (define @t579 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t576)) % 36.31/36.57 (define @t580 () (forall @t6 (and @t579 @t578 @t577))) % 36.31/36.57 (define @t581 () (tptp.v_F tptp.v_P)) % 36.31/36.57 (define @t582 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a tptp.v_b)) % 36.31/36.57 (define @t583 () (tptp.c_member @t68 @t582 @t581)) % 36.31/36.57 (define @t584 () (tptp.hAPP tptp.v_P tptp.v_i)) % 36.31/36.57 (define @t585 () (tptp.c_member @t68 @t582 @t584)) % 36.31/36.57 (define @t586 () (@var "BOUND_VARIABLE_10311" $$unsorted)) % 36.31/36.57 (define @t587 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t586 @t3) @t13)) % 36.31/36.57 (define @t588 () (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t586) @t13)) % 36.31/36.57 (define @t589 () (= @t3 @t586)) % 36.31/36.57 (define @t590 () (not (tptp.c_member @t7 @t586 @t26))) % 36.31/36.57 (define @t591 () (or @t590 @t589 @t588 @t587)) % 36.31/36.57 (define @t592 () (or @t431 @t591)) % 36.31/36.57 (define @t593 () (@list @t3 @t586)) % 36.31/36.57 (define @t594 () (forall @t593 @t592)) % 36.31/36.57 (define @t595 () (@list @t586)) % 36.31/36.57 (define @t596 () (forall @t595 @t592)) % 36.31/36.57 (define @t597 () (forall @t595 @t591)) % 36.31/36.57 (define @t598 () (@list @t19)) % 36.31/36.57 (define @t599 () (or @t431 @t597)) % 36.31/36.57 (define @t600 () (not @t27)) % 36.31/36.57 (define @t601 () (or @t600 @t23 @t21 @t20)) % 36.31/36.57 (define @t602 () (forall @t28 @t601)) % 36.31/36.57 (define @t603 () (or @t23 @t21 @t20)) % 36.31/36.57 (define @t604 () (forall @t6 @t577)) % 36.31/36.57 (define @t605 () (@list @t3)) % 36.31/36.57 (define @t606 () (@var "BOUND_VARIABLE_12886" $$unsorted)) % 36.31/36.57 (define @t607 () (@list @t606)) % 36.31/36.57 (define @t608 () (forall @t6 @t578)) % 36.31/36.57 (define @t609 () (@var "BOUND_VARIABLE_12880" $$unsorted)) % 36.31/36.57 (define @t610 () (@list @t609)) % 36.31/36.57 (define @t611 () (forall @t6 @t579)) % 36.31/36.57 (define @t612 () (@var "BOUND_VARIABLE_12874" $$unsorted)) % 36.31/36.57 (define @t613 () (@list @t612)) % 36.31/36.57 (define @t614 () (and @t611 @t608 @t604)) % 36.31/36.57 (define @t615 () (forall @t593 (or (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t549)) (not (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt @t586 @t549)) @t589 (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t586) @t584) (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t586 @t3) @t584)))) % 36.31/36.57 (define @t616 () (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t584)) % 36.31/36.57 (define @t617 () (= @t616 @t615)) % 36.31/36.57 (define @t618 () (@list false false)) % 36.31/36.57 (define @t619 () (not @t140)) % 36.31/36.57 (define @t620 () (not @t138)) % 36.31/36.57 (define @t621 () (tptp.c_Orderings_Obot__class_Obot @t111)) % 36.31/36.57 (define @t622 () (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Arrow__Order__Mirabelle_Oalt @t621)) % 36.31/36.57 (define @t623 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a @t549)) % 36.31/36.57 (define @t624 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a tptp.v_a)) % 36.31/36.57 (define @t625 () (tptp.c_member @t68 @t624 @t622)) % 36.31/36.57 (define @t626 () (not @t625)) % 36.31/36.57 (define @t627 () (tptp.c_Relation_Orefl__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t622)) % 36.31/36.57 (define @t628 () (not @t627)) % 36.31/36.57 (define @t629 () (or @t628 @t626 @t623)) % 36.31/36.57 (define @t630 () (@var "BOUND_VARIABLE_12860" $$unsorted)) % 36.31/36.57 (define @t631 () (@var "BOUND_VARIABLE_12858" $$unsorted)) % 36.31/36.57 (define @t632 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t631 @t630)) % 36.31/36.57 (define @t633 () (tptp.c_member @t68 @t632 @t559)) % 36.31/36.57 (define @t634 () (not (tptp.c_member @t68 @t632 @t562))) % 36.31/36.57 (define @t635 () (= @t631 @t630)) % 36.31/36.57 (define @t636 () (@var "BOUND_VARIABLE_12838" $$unsorted)) % 36.31/36.57 (define @t637 () (@list @t636)) % 36.31/36.57 (define @t638 () (forall @t637 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 (tptp.hAPP @t558 @t636)))) % 36.31/36.57 (define @t639 () (not @t638)) % 36.31/36.57 (define @t640 () (@var "BOUND_VARIABLE_12832" $$unsorted)) % 36.31/36.57 (define @t641 () (@list @t640)) % 36.31/36.57 (define @t642 () (forall @t641 (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t558 @t640)))) % 36.31/36.57 (define @t643 () (not @t642)) % 36.31/36.57 (define @t644 () (@var "BOUND_VARIABLE_12826" $$unsorted)) % 36.31/36.57 (define @t645 () (@list @t644)) % 36.31/36.57 (define @t646 () (forall @t645 (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t558 @t644)))) % 36.31/36.57 (define @t647 () (not @t646)) % 36.31/36.57 (define @t648 () (or @t647 @t643 @t639 @t635 @t634 @t633)) % 36.31/36.57 (define @t649 () (or @t635 @t634 @t633)) % 36.31/36.57 (define @t650 () (or @t647 @t643 @t639 @t649)) % 36.31/36.57 (define @t651 () (@list @t558 @t631 @t630)) % 36.31/36.57 (define @t652 () (forall @t651 @t650)) % 36.31/36.57 (define @t653 () (@list @t631 @t630)) % 36.31/36.57 (define @t654 () (forall @t653 @t650)) % 36.31/36.57 (define @t655 () (forall @t653 @t649)) % 36.31/36.57 (define @t656 () (or @t647 @t643 @t639 @t655)) % 36.31/36.57 (define @t657 () (not @t563)) % 36.31/36.57 (define @t658 () (or @t565 @t657 @t561)) % 36.31/36.57 (define @t659 () (forall @t211 @t658)) % 36.31/36.57 (define @t660 () (or @t647 @t643 @t639 @t659)) % 36.31/36.57 (define @t661 () (or @t647 @t643 @t639)) % 36.31/36.57 (define @t662 () (and @t646 @t642 @t638)) % 36.31/36.57 (define @t663 () (forall @t6 @t569)) % 36.31/36.57 (define @t664 () (@list @t636)) % 36.31/36.57 (define @t665 () (forall @t6 @t570)) % 36.31/36.57 (define @t666 () (@list @t640)) % 36.31/36.57 (define @t667 () (forall @t6 @t571)) % 36.31/36.57 (define @t668 () (@list @t644)) % 36.31/36.57 (define @t669 () (and @t667 @t665 @t663)) % 36.31/36.57 (define @t670 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b tptp.v_a)) % 36.31/36.57 (define @t671 () (tptp.c_member @t68 @t670 @t581)) % 36.31/36.57 (define @t672 () (tptp.c_member @t68 @t670 @t584)) % 36.31/36.57 (define @t673 () (not @t672)) % 36.31/36.57 (define @t674 () (forall @t637 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 (tptp.hAPP tptp.v_P @t636)))) % 36.31/36.57 (define @t675 () (not @t674)) % 36.31/36.57 (define @t676 () (forall @t641 (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t640)))) % 36.31/36.57 (define @t677 () (not @t676)) % 36.31/36.57 (define @t678 () (forall @t645 (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t644)))) % 36.31/36.57 (define @t679 () (not @t678)) % 36.31/36.57 (define @t680 () (or @t679 @t677 @t675 (= tptp.v_b tptp.v_a) @t673 @t671)) % 36.31/36.57 (define @t681 () (forall @t651 @t648)) % 36.31/36.57 (define @t682 () (= tptp.v_a tptp.v_b)) % 36.31/36.57 (define @t683 () (or @t679 @t677 @t675 @t682 @t673 @t671)) % 36.31/36.57 (define @t684 () (@list false)) % 36.31/36.57 (define @t685 () (forall (@list @t606) (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 (tptp.hAPP tptp.v_P @t606)))) % 36.31/36.57 (define @t686 () (@list @t685)) % 36.31/36.57 (define @t687 () (forall (@list @t609) (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t609)))) % 36.31/36.57 (define @t688 () (@list @t687)) % 36.31/36.57 (define @t689 () (forall (@list @t612) (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t612)))) % 36.31/36.57 (define @t690 () (@list @t689)) % 36.31/36.57 (define @t691 () (@var "BOUND_VARIABLE_12809" $$unsorted)) % 36.31/36.57 (define @t692 () (@list @t691)) % 36.31/36.57 (define @t693 () (forall @t692 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 (tptp.hAPP @t3 @t691)))) % 36.31/36.57 (define @t694 () (not @t693)) % 36.31/36.57 (define @t695 () (@var "BOUND_VARIABLE_12803" $$unsorted)) % 36.31/36.57 (define @t696 () (@list @t695)) % 36.31/36.57 (define @t697 () (forall @t696 (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t3 @t695)))) % 36.31/36.57 (define @t698 () (not @t697)) % 36.31/36.57 (define @t699 () (@var "BOUND_VARIABLE_12797" $$unsorted)) % 36.31/36.57 (define @t700 () (@list @t699)) % 36.31/36.57 (define @t701 () (forall @t700 (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP @t3 @t699)))) % 36.31/36.57 (define @t702 () (not @t701)) % 36.31/36.57 (define @t703 () (or @t702 @t698 @t694)) % 36.31/36.57 (define @t704 () (and @t701 @t697 @t693)) % 36.31/36.57 (define @t705 () (forall @t28 @t552)) % 36.31/36.57 (define @t706 () (@list @t691)) % 36.31/36.57 (define @t707 () (forall @t28 @t553)) % 36.31/36.57 (define @t708 () (@list @t695)) % 36.31/36.57 (define @t709 () (forall @t28 @t554)) % 36.31/36.57 (define @t710 () (@list @t699)) % 36.31/36.57 (define @t711 () (and @t709 @t707 @t705)) % 36.31/36.57 (define @t712 () (forall @t692 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 (tptp.hAPP tptp.v_P @t691)))) % 36.31/36.57 (define @t713 () (forall @t696 (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t695)))) % 36.31/36.57 (define @t714 () (forall @t700 (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.hAPP tptp.v_P @t699)))) % 36.31/36.57 (define @t715 () (tptp.c_Relation_Oirrefl tptp.tc_Arrow__Order__Mirabelle_Oalt @t581)) % 36.31/36.57 (define @t716 () (tptp.c_Relation_Otrans tptp.tc_Arrow__Order__Mirabelle_Oalt @t581)) % 36.31/36.57 (define @t717 () (and @t716 @t715 (tptp.c_Relation_Ototal__on tptp.tc_Arrow__Order__Mirabelle_Oalt @t549 @t581))) % 36.31/36.57 (define @t718 () (not @t712)) % 36.31/36.57 (define @t719 () (not @t713)) % 36.31/36.57 (define @t720 () (not @t714)) % 36.31/36.57 (define @t721 () (or @t720 @t719 @t718 @t717)) % 36.31/36.57 (define @t722 () (not @t717)) % 36.31/36.57 (define @t723 () (@list @t717)) % 36.31/36.57 (define @t724 () (forall @t6 (not (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t3 @t3) @t581)))) % 36.31/36.57 (define @t725 () (= @t715 @t724)) % 36.31/36.57 (define @t726 () (tptp.c_member @t68 @t624 @t581)) % 36.31/36.57 (define @t727 () (not @t682)) % 36.31/36.57 (define @t728 () (not @t583)) % 36.31/36.57 (define @t729 () (not @t726)) % 36.31/36.57 (define @t730 () (not @t52)) % 36.31/36.57 (define @t731 () (not @t45)) % 36.31/36.57 (define @t732 () (or @t376 @t730 @t49)) % 36.31/36.57 (define @t733 () (not @t671)) % 36.31/36.57 (define @t734 () (not @t716)) % 36.31/36.57 (define @t735 () (or @t734 @t728 @t733 @t726)) % 36.31/36.57 (define @t736 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b @t549)) % 36.31/36.57 (define @t737 () (not @t736)) % 36.31/36.57 (define @t738 () (not @t623)) % 36.31/36.57 (define @t739 () (or @t738 @t737 @t682 @t585 @t672)) % 36.31/36.57 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 36.31/36.57 (assume @p2 @t12) % 36.31/36.57 (assume @p3 (forall @t18 (= @t17 (forall @t6 (not @t16))))) % 36.31/36.57 (assume @p4 @t36) % 36.31/36.57 (assume @p5 (forall @t18 (= @t45 @t44))) % 36.31/36.57 (assume @p6 @t57) % 36.31/36.57 (assume @p7 (forall @t11 (tptp.hBOOL (tptp.hAPP @t9 @t10)))) % 36.31/36.57 (assume @p8 (forall (@list @t46 @t7 @t58 @t26) (=> @t64 (=> @t63 (not @t61))))) % 36.31/36.57 (assume @p9 (forall @t77 (= (tptp.c_member @t68 @t67 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t65 @t70)) (and @t76 (=> @t71 @t74) (=> @t72 @t69))))) % 36.31/36.57 (assume @p10 (forall @t77 (= (tptp.c_member @t68 @t67 (tptp.c_Arrow__Order__Mirabelle_Omktop @t65 @t70)) (and @t72 (=> @t75 @t74) (=> @t76 @t69))))) % 36.31/36.57 (assume @p11 (forall @t35 (= (tptp.c_Order__Relation_Ostrict__linear__order__on @t7 @t26 @t13) (and @t45 @t17 @t33)))) % 36.31/36.57 (assume @p12 (forall @t82 (=> @t81 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t80) @t10) @t78)))) % 36.31/36.57 (assume @p13 (forall @t86 (=> @t85 (=> @t84 @t83)))) % 36.31/36.57 (assume @p14 (forall (@list @t26 @t7 @t66 @t10) (=> @t73 (= @t88 @t87)))) % 36.31/36.57 (assume @p15 (forall (@list @t10 @t7 @t58 @t26) (=> @t64 (= @t88 @t89)))) % 36.31/36.57 (assume @p16 (forall @t90 (= (tptp.c_member @t7 @t10 (tptp.c_fequal @t66)) @t73))) % 36.31/36.57 (assume @p17 (forall @t93 (= @t88 @t92))) % 36.31/36.57 (assume @p18 (forall (@list @t66 @t10 @t94 @t79 @t7) (= (tptp.c_FunDef_Oin__rel @t7 @t79 @t94 @t10 @t66) (tptp.c_member @t96 @t95 @t94)))) % 36.31/36.57 (assume @p19 (forall (@list @t7 @t94 @t66 @t99 @t79 @t10 @t97) (=> @t102 (=> (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t79 @t79 @t99 @t66) (tptp.hAPP @t94 @t10)) (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 (tptp.c_Product__Type_OPair @t7 @t79 @t10 @t99) @t95) @t98))))) % 36.31/36.57 (assume @p20 (forall @t105 (=> @t104 (tptp.c_member @t79 @t50 (tptp.c_Relation_ORange @t7 @t79 @t13))))) % 36.31/36.57 (assume @p21 (forall @t86 (=> @t85 (=> @t83 (tptp.c_member @t15 @t54 @t106))))) % 36.31/36.57 (assume @p22 (forall @t108 (= (tptp.c_member @t15 @t107 @t106) (and @t73 @t88)))) % 36.31/36.57 (assume @p23 (forall @t105 (=> @t104 @t110))) % 36.31/36.57 (assume @p24 (forall @t18 (= (tptp.c_Nitpick_Orefl_H @t7 @t13) (forall @t6 @t16)))) % 36.31/36.57 (assume @p25 (forall @t18 (=> @t44 @t45))) % 36.31/36.57 (assume @p26 (forall (@list @t50 @t47 @t65) (=> @t112 (=> (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t47 @t50) @t65) (not (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t50 @t47) @t65)))))) % 36.31/36.57 (assume @p27 (forall (@list @t66 @t10 @t65) (=> @t112 (=> @t74 (= (not @t69) (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t66 @t10) @t65)))))) % 36.31/36.57 (assume @p28 (forall (@list @t2 @t13 @t79 @t66 @t10 @t7) (= (tptp.c_member @t15 @t107 (tptp.c_Relation_Oinv__image @t79 @t7 @t13 @t2)) (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t79 @t79 @t113 (tptp.hAPP @t2 @t66)) @t13)))) % 36.31/36.57 (assume @p29 (forall @t114 (= (tptp.c_Relation_ORange @t7 @t7 @t106) @t26))) % 36.31/36.57 (assume @p30 (forall @t114 (= (tptp.c_Relation_ODomain @t7 @t7 @t106) @t26))) % 36.31/36.57 (assume @p31 (forall @t114 (tptp.c_Relation_Otrans @t7 @t106))) % 36.31/36.57 (assume @p32 (forall @t116 (=> @t45 (tptp.c_Relation_Otrans @t79 @t115)))) % 36.31/36.57 (assume @p33 (forall @t117 (=> @t112 (tptp.c_member @t111 (tptp.c_Arrow__Order__Mirabelle_Omktop @t65 @t10) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 36.31/36.57 (assume @p34 (forall @t117 (=> @t112 (tptp.c_member @t111 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t65 @t10) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 36.31/36.57 (assume @p35 (forall @t120 (= @t110 (exists @t119 @t118)))) % 36.31/36.57 (assume @p36 (forall @t120 (= (tptp.c_member @t7 @t47 @t122) (exists @t119 (tptp.c_member @t121 (tptp.c_Product__Type_OPair @t79 @t7 @t38 @t47) @t13))))) % 36.31/36.57 (assume @p37 (forall @t127 (=> @t126 (=> @t112 (= (tptp.c_member @t68 @t67 (tptp.c_Arrow__Order__Mirabelle_Oabove @t65 @t47 @t50)) (and @t74 (=> @t125 (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t47 @t66) @t65)) (=> (not @t125) (and (=> @t123 (or @t124 (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t47) @t65))) (=> (not @t123) @t69))))))))) % 36.31/36.57 (assume @p38 (forall @t127 (=> @t126 (=> @t112 (= (tptp.c_member @t68 @t67 (tptp.c_Arrow__Order__Mirabelle_Obelow @t65 @t47 @t50)) (and @t74 (=> @t128 (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t10 @t50) @t65)) (=> (not @t128) (and (=> @t124 (or @t123 (tptp.c_member @t68 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t50 @t66) @t65))) (=> (not @t124) @t69))))))))) % 36.31/36.57 (assume @p39 (forall @t129 (=> @t74 (=> @t112 (tptp.c_member @t111 (tptp.c_Arrow__Order__Mirabelle_Oabove @t65 @t10 @t66) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 36.31/36.57 (assume @p40 (forall @t129 (=> @t74 (=> @t112 (tptp.c_member @t111 (tptp.c_Arrow__Order__Mirabelle_Obelow @t65 @t10 @t66) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 36.31/36.57 (assume @p41 (forall (@list @t130 @t13 @t131 @t132 @t50 @t47 @t79 @t7) (= (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t103 @t134) (tptp.c_Wellfounded_Olex__prod @t7 @t79 @t13 @t130)) (or (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t132) @t13) (and @t133 (tptp.c_member @t101 (tptp.c_Product__Type_OPair @t79 @t79 @t50 @t131) @t130)))))) % 36.31/36.57 (assume @p42 (forall (@list @t26 @t46 @t7) (=> (tptp.c_member @t15 @t46 @t106) (not (forall @t6 (=> @t30 (not (= @t46 @t14)))))))) % 36.31/36.57 (assume @p43 (forall (@list @t13 @t79 @t50 @t7) (=> (tptp.c_member @t7 @t50 @t122) (not (forall @t6 (not @t135)))))) % 36.31/36.57 (assume @p44 (forall @t120 (=> @t110 (not (forall @t119 (not @t118)))))) % 36.31/36.57 (assume @p45 (forall @t139 (=> @t138 (=> @t83 @t137)))) % 36.31/36.57 (assume @p46 @t143) % 36.31/36.57 (assume @p47 (forall (@list @t144 @t79 @t145 @t7) (=> (tptp.c_Relation_Otrans @t7 @t145) (=> (tptp.c_Relation_Otrans @t79 @t144) (tptp.c_Relation_Otrans @t96 (tptp.c_Wellfounded_Olex__prod @t7 @t79 @t145 @t144)))))) % 36.31/36.57 (assume @p48 (forall @t114 (tptp.c_Relation_Orefl__on @t7 @t26 @t106))) % 36.31/36.57 (assume @p49 (forall @t142 (=> @t138 (=> @t140 @t87)))) % 36.31/36.57 (assume @p50 (forall @t35 (= @t146 (and @t138 @t45)))) % 36.31/36.57 (assume @p51 (forall (@list @t47 @t13 @t50 @t7) (=> @t149 (=> @t55 @t148)))) % 36.31/36.57 (assume @p52 (forall @t151 (= @t148 (forall @t6 (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t47) @t13) @t150))))) % 36.31/36.57 (assume @p53 (forall @t160 (= (tptp.c_Recdef_Owfrec__rel @t7 @t79 @t94 @t153 @t154 @t158) (exists @t159 (and (= @t158 @t156) @t155))))) % 36.31/36.57 (assume @p54 (forall (@list @t70 @t66 @t10 @t13 @t79 @t7) (=> @t161 (=> (tptp.c_member @t96 @t95 @t13) (=> (tptp.c_member @t96 (tptp.c_Product__Type_OPair @t7 @t79 @t10 @t70) @t13) @t75))))) % 36.31/36.57 (assume @p55 (forall @t163 (= @t161 @t162))) % 36.31/36.57 (assume @p56 (forall (@list @t2 @t79 @t13 @t47 @t10 @t7) (=> @t166 (= (tptp.hAPP @t164 @t10) @t113)))) % 36.31/36.57 (assume @p57 (forall (@list @t1 @t10 @t13 @t2 @t79 @t7) (= (= (tptp.c_Recdef_Ocut @t7 @t79 @t2 @t13 @t10) (tptp.c_Recdef_Ocut @t7 @t79 @t1 @t13 @t10)) (forall @t119 (=> @t167 (= (tptp.hAPP @t2 @t38) (tptp.hAPP @t1 @t38))))))) % 36.31/36.57 (assume @p58 (forall (@list @t79 @t47 @t10 @t7 @t168 @t169) (=> (tptp.c_member @t15 @t165 @t169) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t7 @t79 @t168 @t169 @t47) @t10) (tptp.hAPP @t168 @t10))))) % 36.31/36.57 (assume @p59 (forall @t114 (tptp.c_Relation_Osingle__valued @t7 @t7 @t106))) % 36.31/36.57 (assume @p60 (forall (@list @t13 @t10 @t7) (=> (forall @t119 (=> @t167 (tptp.c_member @t7 @t38 @t147))) @t170))) % 36.31/36.57 (assume @p61 (forall (@list @t94 @t10 @t7) (=> (not (tptp.c_member @t7 @t10 @t171)) (not (forall @t40 (=> @t172 (tptp.c_member @t7 @t37 @t171))))))) % 36.31/36.57 (assume @p62 (forall @t160 (= (tptp.c_Recdef_Owfrec__rel @t7 @t79 @t94 @t153 @t154 @t157) (exists @t159 (and (= @t157 @t156) @t155))))) % 36.31/36.57 (assume @p63 (forall (@list @t1 @t153 @t79 @t94 @t10 @t7) (=> (forall @t40 (=> @t172 (tptp.c_Recdef_Owfrec__rel @t7 @t79 @t94 @t153 @t37 (tptp.hAPP @t1 @t37)))) (tptp.c_Recdef_Owfrec__rel @t7 @t79 @t94 @t153 @t10 (tptp.hAPP (tptp.hAPP @t153 @t1) @t10))))) % 36.31/36.57 (assume @p64 (forall @t163 (=> @t162 @t161))) % 36.31/36.57 (assume @p65 (forall (@list @t50 @t13 @t47 @t7) (=> @t148 (=> @t175 @t149)))) % 36.31/36.57 (assume @p66 (forall (@list @t13 @t47 @t50 @t7) (=> @t175 (=> @t148 @t149)))) % 36.31/36.57 (assume @p67 (forall (@list @t10 @t153 @t94 @t7 @t79) (= (tptp.c_Nitpick_Owf__wfrec_H @t79 @t7 @t94 @t153 @t10) (tptp.hAPP (tptp.hAPP @t153 (tptp.c_Recdef_Ocut @t79 @t7 (tptp.c_Nitpick_Owf__wfrec @t79 @t7 @t94 @t153) @t94 @t10)) @t10)))) % 36.31/36.57 (assume @p68 (forall @t177 (tptp.c_member @t15 @t136 @t176))) % 36.31/36.57 (assume @p69 (forall @t178 (tptp.c_Relation_Otrans @t7 @t176))) % 36.31/36.57 (assume @p70 (forall @t178 (tptp.c_Relation_Osingle__valued @t7 @t7 @t176))) % 36.31/36.57 (assume @p71 (forall @t179 (= (tptp.c_member @t15 @t54 @t176) @t85))) % 36.31/36.57 (assume @p72 (forall @t178 (= (tptp.c_Relation_ODomain @t7 @t7 @t176) @t9))) % 36.31/36.57 (assume @p73 (forall @t178 (= (tptp.c_Relation_ORange @t7 @t7 @t176) @t9))) % 36.31/36.57 (assume @p74 (forall @t178 (tptp.c_Relation_Orefl__on @t7 @t9 @t176))) % 36.31/36.57 (assume @p75 (forall @t151 (tptp.c_member @t15 @t136 @t173))) % 36.31/36.57 (assume @p76 (forall @t182 (=> @t181 (tptp.c_member @t15 @t180 @t173)))) % 36.31/36.57 (assume @p77 (forall (@list @t66 @t94 @t10 @t7) (=> (not (tptp.c_member @t7 @t10 (tptp.c_Relation_ODomain @t7 @t7 @t94))) (= @t184 @t73)))) % 36.31/36.57 (assume @p78 (forall (@list @t70 @t66 @t10 @t13 @t7) (=> (tptp.c_Relation_Osingle__valued @t7 @t7 @t13) (=> @t188 (=> @t187 (or (tptp.c_member @t15 @t185 @t173) (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t70 @t66) @t173))))))) % 36.31/36.57 (assume @p79 (forall @t18 (tptp.c_Relation_Orefl__on @t7 @t9 @t173))) % 36.31/36.57 (assume @p80 (forall @t189 (= (tptp.c_Relation_ORange @t7 @t7 @t183) @t9))) % 36.31/36.57 (assume @p81 (forall @t189 (= (tptp.c_Relation_ODomain @t7 @t7 @t183) @t9))) % 36.31/36.57 (assume @p82 (forall @t194 (=> @t193 @t192))) % 36.31/36.57 (assume @p83 (forall @t194 (=> @t193 (=> @t52 @t190)))) % 36.31/36.57 (assume @p84 (forall @t18 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t173) @t173))) % 36.31/36.57 (assume @p85 (forall @t18 (tptp.c_Relation_Otrans @t7 @t173))) % 36.31/36.57 (assume @p86 (forall @t194 (=> @t55 @t192))) % 36.31/36.57 (assume @p87 (forall (@list @t180 @t7) (=> (tptp.c_member @t15 @t180 @t176) (not (forall @t6 (not (= @t180 @t14))))))) % 36.31/36.57 (assume @p88 (forall @t215 (=> @t214 (=> @t212 (=> (forall @t211 (=> (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t210 @t205) @t207) (forall (@list @t199 @t198) (=> @t206 (=> @t203 @t200))))) @t197))))) % 36.31/36.57 (assume @p89 (forall @t215 (=> @t214 (=> @t197 (=> (forall (@list @t202 @t201 @t199 @t198) (=> @t206 (=> (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t204 @t213) @t207) (=> @t200 @t203)))) @t212))))) % 36.31/36.57 (assume @p90 (forall (@list @t13 @t216 @t217 @t219 @t220 @t79 @t7) (=> (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t221 @t218) @t207) (=> (not (= @t221 @t218)) (not (forall @t211 (=> (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t221 @t205) @t13) (not (tptp.c_member @t100 (tptp.c_Product__Type_OPair @t96 @t96 @t205 @t218) @t207))))))))) % 36.31/36.57 (assume @p91 (forall @t227 (=> @t193 (=> @t226 (=> (forall @t119 (=> @t225 (forall @t40 (=> @t39 (=> @t224 @t223))))) @t222))))) % 36.31/36.57 (assume @p92 (forall @t227 (=> @t193 (=> @t222 (=> (forall (@list @t38 @t37) (=> @t39 (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t37 @t50) @t173) (=> @t223 @t224)))) @t226))))) % 36.31/36.57 (assume @p93 (forall @t230 (=> @t187 (=> @t72 (not (forall @t119 (=> @t229 (not (tptp.c_member @t15 @t228 @t173))))))))) % 36.31/36.57 (assume @p94 (forall @t231 (=> @t193 (=> @t126 (not (forall @t119 (=> @t225 (not (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t38 @t50) @t13))))))))) % 36.31/36.57 (assume @p95 (forall @t231 (=> @t233 @t193))) % 36.31/36.57 (assume @p96 (forall @t18 (tptp.c_Relation_Orefl__on @t7 @t9 @t235))) % 36.31/36.57 (assume @p97 (exists (@list @t236) (tptp.c_member @t111 @t236 tptp.c_Arrow__Order__Mirabelle_OLin))) % 36.31/36.57 (assume @p98 (forall (@list @t237 @t239 @t238 @t240 @t79 @t7) (=> (= (tptp.c_Product__Type_OPair @t7 @t79 @t240 @t238) (tptp.c_Product__Type_OPair @t7 @t79 @t239 @t237)) (not (=> (= @t240 @t239) (not (= @t238 @t237))))))) % 36.31/36.57 (assume @p99 (forall (@list @t131 @t132 @t50 @t47 @t79 @t7) (= (= @t103 @t134) (and @t133 (= @t50 @t131))))) % 36.31/36.57 (assume @p100 (forall (@list @t79 @t7 @t97) (= (forall (@list @t241) (tptp.hBOOL (tptp.hAPP @t97 @t241))) (forall @t211 (tptp.hBOOL (tptp.hAPP @t97 @t205)))))) % 36.31/36.57 (assume @p101 (forall @t244 (=> @t243 (=> @t55 (=> @t242 @t85))))) % 36.31/36.57 (assume @p102 (forall @t18 (= @t243 @t247))) % 36.31/36.57 (assume @p103 (forall @t252 (=> @t251 (=> (not @t92) @t249)))) % 36.31/36.57 (assume @p104 (forall (@list @t7 @t26 @t10 @t58) (=> (=> @t253 @t92) @t251))) % 36.31/36.57 (assume @p105 (forall @t255 (=> @t254 @t61))) % 36.31/36.57 (assume @p106 (forall @t256 (=> (=> @t62 @t60) @t254))) % 36.31/36.57 (assume @p107 (forall @t231 (=> @t55 @t233))) % 36.31/36.57 (assume @p108 (forall @t18 (= (tptp.c_Relation_Oantisym @t7 @t235) @t243))) % 36.31/36.57 (assume @p109 (forall @t114 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t26) @t26))) % 36.31/36.57 (assume @p110 (forall @t258 (= @t250 @t257))) % 36.31/36.57 (assume @p111 (forall @t258 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t250) @t250))) % 36.31/36.57 (assume @p112 (forall @t263 (= @t262 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t58 @t260)))) % 36.31/36.57 (assume @p113 (forall @t263 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t250 @t259) @t262))) % 36.31/36.57 (assume @p114 (forall @t267 (= (exists @t6 (and @t266 @t264)) (or (exists @t6 (and @t30 @t264)) (exists @t6 (and @t265 @t264)))))) % 36.31/36.57 (assume @p115 (forall @t267 (= (forall @t6 (=> @t266 @t264)) (and (forall @t6 (=> @t30 @t264)) (forall @t6 (=> @t265 @t264)))))) % 36.31/36.57 (assume @p116 (forall (@list @t58 @t7 @t10 @t26) (=> @t92 @t251))) % 36.31/36.57 (assume @p117 (forall (@list @t26 @t7 @t10 @t58) (=> @t249 @t251))) % 36.31/36.57 (assume @p118 (forall @t270 (=> @t138 (=> @t269 (tptp.c_Relation_Orefl__on @t7 @t250 @t268))))) % 36.31/36.57 (assume @p119 (forall (@list @t58 @t26 @t7 @t79) (= (tptp.c_Relation_ORange @t79 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t273 @t26 @t58)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t272 @t271)))) % 36.31/36.57 (assume @p120 (forall @t277 (= (tptp.c_Relation_ODomain @t7 @t79 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t276 @t26 @t58)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t275 @t274)))) % 36.31/36.57 (assume @p121 (forall @t18 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t232 @t176) @t173))) % 36.31/36.57 (assume @p122 (forall @t18 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t235) @t173))) % 36.31/36.57 (assume @p123 (forall @t255 (= @t254 (or @t60 @t59)))) % 36.31/36.57 (assume @p124 (forall @t255 (=> @t60 @t254))) % 36.31/36.57 (assume @p125 (forall @t256 (=> @t59 @t254))) % 36.31/36.57 (assume @p126 (forall @t182 (=> @t181 @t278))) % 36.31/36.57 (assume @p127 (forall @t279 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t9 @t58) @t9))) % 36.31/36.57 (assume @p128 (forall @t114 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t9) @t9))) % 36.31/36.57 (assume @p129 (forall @t189 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t183) @t183))) % 36.31/36.57 (assume @p130 (forall @t189 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t280) @t183))) % 36.31/36.57 (assume @p131 (forall @t285 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t284) @t282))) % 36.31/36.57 (assume @p132 (forall @t18 (= (tptp.c_Relation_ODomain @t7 @t7 @t232) @t286))) % 36.31/36.57 (assume @p133 (forall @t18 (tptp.c_Relation_Otrans @t7 @t232))) % 36.31/36.57 (assume @p134 (forall @t18 (=> @t45 (= @t232 @t13)))) % 36.31/36.57 (assume @p135 (forall @t18 (= (tptp.c_Relation_ORange @t7 @t7 @t232) @t287))) % 36.31/36.57 (assume @p136 (forall (@list @t46 @t94 @t50 @t47 @t7) (=> (tptp.c_member @t15 @t54 @t94) (=> (tptp.c_member @t15 @t51 @t94) (tptp.c_member @t15 @t48 @t280))))) % 36.31/36.57 (assume @p137 (forall @t194 (=> @t55 @t289))) % 36.31/36.57 (assume @p138 (forall @t194 (=> @t233 @t290))) % 36.31/36.57 (assume @p139 (forall @t194 (=> @t233 @t289))) % 36.31/36.57 (assume @p140 (forall @t178 (tptp.c_Relation_Oantisym @t7 @t176))) % 36.31/36.57 (assume @p141 (forall (@list @t281 @t94 @t10 @t7) (=> (or (tptp.c_member @t15 @t10 @t183) (tptp.c_member @t15 @t10 @t283)) (tptp.c_member @t15 @t10 @t282)))) % 36.31/36.57 (assume @p142 (forall @t114 (tptp.c_Relation_Oantisym @t7 @t106))) % 36.31/36.57 (assume @p143 (forall @t189 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t183 @t176) @t183))) % 36.31/36.57 (assume @p144 (forall @t189 (= (tptp.c_Transitive__Closure_Ortrancl @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t234 @t94 @t176)) @t183))) % 36.31/36.57 (assume @p145 (forall @t18 (=> @t45 (tptp.c_Relation_Otrans @t7 @t235)))) % 36.31/36.57 (assume @p146 (forall @t292 (= @t184 (or @t73 (and @t74 @t291))))) % 36.31/36.57 (assume @p147 (forall @t194 (=> @t55 @t293))) % 36.31/36.57 (assume @p148 (forall (@list @t94 @t50 @t47 @t7) (=> (tptp.c_member @t15 @t54 @t183) (or @t85 (and @t126 (tptp.c_member @t15 @t54 @t280)))))) % 36.31/36.57 (assume @p149 (forall @t194 (=> @t193 @t290))) % 36.31/36.57 (assume @p150 (forall @t194 (=> @t233 @t293))) % 36.31/36.57 (assume @p151 (forall (@list @t70 @t13 @t66 @t10 @t7) (=> @t188 (=> (tptp.c_member @t15 @t185 @t232) @t294)))) % 36.31/36.57 (assume @p152 (forall (@list @t50 @t47 @t295 @t7 @t296 @t79) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t79 @t296 @t7 @t295 @t297) (tptp.hAPP (tptp.hAPP @t295 @t47) @t50)))) % 36.31/36.57 (assume @p153 (forall @t300 (=> @t299 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t80 @t2 @t1) @t10) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t113 @t298))))) % 36.31/36.57 (assume @p154 (forall @t303 (=> @t302 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t78) @t78)))) % 36.31/36.57 (assume @p155 (forall @t303 (=> @t302 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t78 @t301) @t78)))) % 36.31/36.57 (assume @p156 (forall @t35 (= @t304 (and @t146 @t243)))) % 36.31/36.57 (assume @p157 (forall @t309 (=> @t308 (=> (forall @t6 (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t3 @t50) @t305) (forall @t119 (=> (tptp.c_member @t15 @t246 @t307) (= @t38 @t3))))) @t306)))) % 36.31/36.57 (assume @p158 (forall @t309 (=> @t308 (=> (forall @t6 (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t3) @t305) (forall @t119 (=> (tptp.c_member @t15 @t41 @t307) @t245)))) @t306)))) % 36.31/36.57 (assume @p159 (forall @t311 (=> @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t240 @t240) @t240)))) % 36.31/36.57 (assume @p160 (forall @t303 (=> @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t301) @t301)))) % 36.31/36.57 (assume @p161 (forall @t313 (=> @t310 (= @t312 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t238 @t240))))) % 36.31/36.57 (assume @p162 (forall @t318 (=> @t299 @t317))) % 36.31/36.57 (assume @p163 (forall @t318 (=> @t310 @t317))) % 36.31/36.57 (assume @p164 (forall @t313 (=> @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t240 @t312) @t312)))) % 36.31/36.57 (assume @p165 (forall @t318 (=> @t299 @t319))) % 36.31/36.57 (assume @p166 (forall @t318 (=> @t310 @t319))) % 36.31/36.57 (assume @p167 (forall @t322 (=> @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t238 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t240 @t320)) @t321)))) % 36.31/36.57 (assume @p168 (forall @t328 (=> @t299 @t327))) % 36.31/36.57 (assume @p169 (forall @t328 (=> @t310 @t327))) % 36.31/36.57 (assume @p170 (forall @t329 (=> @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t312 @t320) @t321)))) % 36.31/36.57 (assume @p171 (forall @t328 (=> @t299 @t330))) % 36.31/36.57 (assume @p172 (forall @t328 (=> @t310 @t330))) % 36.31/36.57 (assume @p173 (forall @t35 (= @t331 (and @t304 @t33)))) % 36.31/36.57 (assume @p174 (forall @t292 (=> @t291 (exists @t40 (and (tptp.c_member @t15 @t333 @t94) (tptp.c_member @t15 @t332 @t183)))))) % 36.31/36.57 (assume @p175 (forall @t292 (=> @t291 (exists @t40 (and (tptp.c_member @t15 @t333 @t183) (tptp.c_member @t15 @t332 @t94)))))) % 36.31/36.57 (assume @p176 (forall @t18 (= @t335 @t334))) % 36.31/36.57 (assume @p177 (forall (@list @t50 @t47 @t46 @t7 @t296 @t79) (= (tptp.c_Product__Type_Ointernal__split @t79 @t296 @t7 @t46 @t297) (tptp.hAPP (tptp.hAPP @t46 @t47) @t50)))) % 36.31/36.57 (assume @p178 (forall @t18 (=> @t247 @t243))) % 36.31/36.57 (assume @p179 (forall @t18 (=> @t335 (tptp.c_Relation_Oantisym @t7 @t173)))) % 36.31/36.57 (assume @p180 (forall @t18 (=> @t334 @t335))) % 36.31/36.57 (assume @p181 (forall @t35 (=> @t331 (tptp.c_Order__Relation_Ostrict__linear__order__on @t7 @t26 @t336)))) % 36.31/36.57 (assume @p182 (forall @t339 (= (tptp.c_Wellfounded_Oacyclic @t7 @t338) (and @t335 @t337)))) % 36.31/36.57 (assume @p183 (forall @t18 (= @t340 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t286 @t287)))) % 36.31/36.57 (assume @p184 (forall (@list @t66 @t10 @t13 @t7) (=> @t334 (=> @t140 @t74)))) % 36.31/36.57 (assume @p185 (forall @t344 (=> (=> (not @t343) @t85) @t342))) % 36.31/36.57 (assume @p186 (forall @t346 (=> @t345 (=> @t126 @t83)))) % 36.31/36.57 (assume @p187 (forall @t255 (=> @t349 (not @t347)))) % 36.31/36.57 (assume @p188 (forall @t255 (=> @t60 (=> @t62 @t349)))) % 36.31/36.57 (assume @p189 (forall @t105 (= (tptp.c_Relation_ODomain @t7 @t79 (tptp.c_Set_Oinsert @t96 @t103 @t13)) (tptp.c_Set_Oinsert @t7 @t47 @t109)))) % 36.31/36.57 (assume @p190 (forall (@list @t13 @t50 @t47 @t7 @t79) (= (tptp.c_Relation_ORange @t79 @t7 (tptp.c_Set_Oinsert @t121 @t350 @t13)) (tptp.c_Set_Oinsert @t7 @t50 @t122)))) % 36.31/36.57 (assume @p191 (forall @t255 (= @t349 (and @t60 @t62)))) % 36.31/36.57 (assume @p192 (forall @t255 (=> @t349 @t60))) % 36.31/36.57 (assume @p193 (forall @t255 (=> @t349 @t62))) % 36.31/36.57 (assume @p194 (forall (@list @t58 @t47 @t7) (tptp.c_member @t7 @t47 @t351))) % 36.31/36.57 (assume @p195 (forall @t346 (= @t345 (or @t85 @t83)))) % 36.31/36.57 (assume @p196 (forall @t356 (=> @t355 (=> @t354 (= (= @t353 @t352) @t64))))) % 36.31/36.57 (assume @p197 (forall @t344 (=> @t343 @t342))) % 36.31/36.57 (assume @p198 (forall @t358 (=> @t83 (= @t357 @t26)))) % 36.31/36.57 (assume @p199 (forall @t361 @t360)) % 36.31/36.57 (assume @p200 (forall @t361 (and @t360 (=> @t354 (= @t359 (tptp.c_Set_Oinsert @t7 @t10 @t348)))))) % 36.31/36.57 (assume @p201 (forall (@list @t10 @t26 @t66 @t7) (= (tptp.hBOOL (tptp.hAPP @t362 @t10)) (or (= @t66 @t10) @t92)))) % 36.31/36.57 (assume @p202 (forall @t258 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t348 @t58) @t348))) % 36.31/36.57 (assume @p203 (forall @t108 (= (tptp.c_Set_Oinsert @t7 @t10 @t362) (tptp.c_Set_Oinsert @t7 @t66 @t353)))) % 36.31/36.57 (assume @p204 (forall @t93 (= (tptp.c_Set_Oinsert @t7 @t10 @t353) @t353))) % 36.31/36.57 (assume @p205 (forall (@list @t10 @t58 @t26 @t79 @t7) (=> (tptp.class_Groups_Ominus @t7) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t80 @t26 @t58) @t10) (tptp.c_Groups_Ominus__class_Ominus @t7 @t91 @t248))))) % 36.31/36.57 (assume @p206 (forall @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t250 @t259) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t364 @t363)))) % 36.31/36.57 (assume @p207 (forall @t366 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t365 @t26) @t257))) % 36.31/36.57 (assume @p208 (forall @t258 (= @t367 @t250))) % 36.31/36.57 (assume @p209 (forall (@list @t259 @t58 @t47 @t7) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t351 @t259) (tptp.c_Set_Oinsert @t7 @t47 @t261)))) % 36.31/36.57 (assume @p210 (forall @t368 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t351) (tptp.c_Set_Oinsert @t7 @t47 @t250)))) % 36.31/36.57 (assume @p211 (forall @t18 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t336) @t173))) % 36.31/36.57 (assume @p212 (forall @t35 (= (tptp.c_Relation_Ototal__on @t7 @t26 @t336) @t33))) % 36.31/36.57 (assume @p213 (forall @t370 (= (tptp.c_Relation_OField @t7 @t268) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t340 @t369)))) % 36.31/36.57 (assume @p214 (forall @t18 (tptp.c_Relation_Oirrefl @t7 @t336))) % 36.31/36.57 (assume @p215 (forall @t18 (=> @t45 (=> @t243 (tptp.c_Relation_Otrans @t7 @t336))))) % 36.31/36.57 (assume @p216 (forall @t231 (= (tptp.c_Relation_OField @t7 (tptp.c_Set_Oinsert @t15 @t54 @t13)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t373 @t340)))) % 36.31/36.57 (assume @p217 (forall @t339 (= (tptp.c_Wellfounded_Owf @t7 @t338) (and @t374 @t337)))) % 36.31/36.57 (assume @p218 (forall @t231 (=> @t233 (=> @t376 (not (forall (@list @t375) (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t375) @t232) (not (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t375 @t50) @t13))))))))) % 36.31/36.57 (assume @p219 (forall @t230 (=> @t294 (=> (not (tptp.c_member @t15 @t186 @t13)) (not (forall @t119 (=> @t229 (not (tptp.c_member @t15 @t228 @t232))))))))) % 36.31/36.57 (assume @p220 (forall @t277 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t272 @t271) (tptp.c_Relation_ORange @t79 @t7 (tptp.c_Groups_Ominus__class_Ominus @t273 @t26 @t58))))) % 36.31/36.57 (assume @p221 (forall @t303 (=> @t377 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t301)))) % 36.31/36.57 (assume @p222 (forall @t258 (=> @t379 (=> @t378 @t64)))) % 36.31/36.57 (assume @p223 (forall @t178 (tptp.c_Wellfounded_Owf @t7 @t380))) % 36.31/36.57 (assume @p224 (forall @t177 (not (tptp.c_member @t7 @t47 @t371)))) % 36.31/36.57 (assume @p225 (forall (@list @t46 @t58 @t26 @t7) (=> @t379 @t347))) % 36.31/36.57 (assume @p226 (forall @t114 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t371 @t26))) % 36.31/36.57 (assume @p227 (forall @t116 (=> @t374 (tptp.c_Wellfounded_Owf @t79 @t115)))) % 36.31/36.57 (assume @p228 (forall (@list @t381 @t79 @t382 @t7) (=> (tptp.c_Wellfounded_Owf @t7 @t382) (=> (tptp.c_Wellfounded_Owf @t79 @t381) (tptp.c_Wellfounded_Owf @t96 (tptp.c_Wellfounded_Olex__prod @t7 @t79 @t382 @t381)))))) % 36.31/36.57 (assume @p229 (forall (@list @t10 @t26 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t383) (or @t384 (= @t26 @t383))))) % 36.31/36.57 (assume @p230 (forall @t370 (=> @t385 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t340 @t369)))) % 36.31/36.57 (assume @p231 (forall @t178 (= (tptp.c_Relation_OField @t7 @t380) @t371))) % 36.31/36.57 (assume @p232 (forall @t252 (=> @t379 (=> @t88 @t89)))) % 36.31/36.57 (assume @p233 (forall @t356 (=> @t88 (=> @t379 @t89)))) % 36.31/36.57 (assume @p234 (forall @t178 (tptp.c_Order__Relation_Opartial__order__on @t7 @t371 @t380))) % 36.31/36.57 (assume @p235 (forall @t178 (tptp.c_Order__Relation_Opreorder__on @t7 @t371 @t380))) % 36.31/36.57 (assume @p236 (forall (@list @t144 @t145 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t145 @t144) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Wellfounded_Oacc @t7 @t144) (tptp.c_Wellfounded_Oacc @t7 @t145))))) % 36.31/36.57 (assume @p237 (forall @t163 (= (= @t109 @t371) (= @t13 @t386)))) % 36.31/36.57 (assume @p238 (forall (@list @t79 @t7) (= (tptp.c_Relation_ODomain @t7 @t79 @t386) @t371))) % 36.31/36.57 (assume @p239 (forall (@list @t13 @t7 @t79) (= (= @t122 @t371) (= @t13 @t387)))) % 36.31/36.57 (assume @p240 (forall (@list @t7 @t79) (= (tptp.c_Relation_ORange @t79 @t7 @t387) @t371))) % 36.31/36.57 (assume @p241 (forall @t178 (tptp.c_Relation_Orefl__on @t7 @t371 @t380))) % 36.31/36.57 (assume @p242 (forall (@list @t180 @t13 @t7) (=> @t374 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t180 @t13) (tptp.c_Wellfounded_Owf @t7 @t180))))) % 36.31/36.57 (assume @p243 (forall @t303 (=> @t389 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t388 @t301)))) % 36.31/36.57 (assume @p244 (forall @t114 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t26))) % 36.31/36.57 (assume @p245 (forall @t82 (=> @t389 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t80) @t10) @t388)))) % 36.31/36.57 (assume @p246 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t371) @t384))) % 36.31/36.57 (assume @p247 (forall (@list @t1 @t2 @t7 @t79) (=> @t391 (= @t390 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t79 @t5 @t4)))))) % 36.31/36.57 (assume @p248 (forall @t318 (=> @t394 (or @t393 @t392)))) % 36.31/36.57 (assume @p249 (forall @t395 (= @t64 (and @t379 @t378)))) % 36.31/36.57 (assume @p250 (forall @t90 (=> @t398 (= @t73 (and @t397 @t396))))) % 36.31/36.57 (assume @p251 (forall (@list @t307 @t7 @t10 @t97) (=> @t102 (=> @t400 @t399)))) % 36.31/36.57 (assume @p252 (forall @t395 (=> @t64 @t379))) % 36.31/36.57 (assume @p253 (forall @t395 (=> @t64 @t378))) % 36.31/36.57 (assume @p254 (forall @t318 (=> @t377 (=> @t401 @t393)))) % 36.31/36.57 (assume @p255 (forall (@list @t10 @t1 @t2 @t7 @t79) (=> @t391 (=> @t390 (tptp.c_Orderings_Oord__class_Oless__eq @t79 @t113 @t298))))) % 36.31/36.57 (assume @p256 (forall (@list @t10 @t66 @t7) (=> @t398 (=> @t396 (= @t397 @t73))))) % 36.31/36.57 (assume @p257 (forall (@list @t10 @t307 @t97 @t7) (=> @t400 (=> @t102 @t399)))) % 36.31/36.57 (assume @p258 (forall @t329 (=> @t404 (=> @t403 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t238 @t320) @t402))))) % 36.31/36.57 (assume @p259 (forall @t329 (=> @t398 (=> @t403 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t320 @t238) @t405))))) % 36.31/36.57 (assume @p260 (forall @t263 (=> @t379 (=> @t407 @t406)))) % 36.31/36.57 (assume @p261 (forall @t329 (=> @t404 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t240 @t238) (=> @t408 @t402))))) % 36.31/36.57 (assume @p262 (forall @t322 (=> @t398 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t238 @t240) (=> @t408 @t405))))) % 36.31/36.57 (assume @p263 (forall @t318 (=> @t398 (=> @t393 (=> @t392 @t401))))) % 36.31/36.57 (assume @p264 (forall @t328 (=> @t377 (=> @t393 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t314 @t323) @t409))))) % 36.31/36.57 (assume @p265 (forall @t410 (=> @t398 (=> @t392 (=> @t393 @t401))))) % 36.31/36.57 (assume @p266 (forall @t412 (=> @t398 (=> @t392 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t323 @t314) @t411))))) % 36.31/36.57 (assume @p267 (forall @t395 (=> @t64 (not (=> @t379 (not @t378)))))) % 36.31/36.57 (assume @p268 (forall @t318 (=> @t394 (=> (not @t393) @t392)))) % 36.31/36.57 (assume @p269 (forall @t414 (=> @t413 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t109 (tptp.c_Relation_ODomain @t7 @t79 @t130))))) % 36.31/36.57 (assume @p270 (forall @t178 (= (tptp.c_Relation_OId__on @t7 @t371) @t380))) % 36.31/36.57 (assume @p271 (forall @t178 (tptp.c_Order__Relation_Olinear__order__on @t7 @t371 @t380))) % 36.31/36.57 (assume @p272 (forall @t318 (=> @t299 @t415))) % 36.31/36.57 (assume @p273 (forall @t318 (=> @t310 @t415))) % 36.31/36.57 (assume @p274 (forall @t410 (=> @t299 @t416))) % 36.31/36.57 (assume @p275 (forall @t410 (=> @t310 @t416))) % 36.31/36.57 (assume @p276 (forall @t90 (=> @t310 (= @t397 (= @t417 @t66))))) % 36.31/36.57 (assume @p277 (forall @t419 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t417 @t70) (and @t418 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t66 @t70)))))) % 36.31/36.57 (assume @p278 (forall @t422 (=> @t310 (=> @t421 @t420)))) % 36.31/36.57 (assume @p279 (forall (@list @t240 @t238 @t301 @t7) (=> @t310 (=> @t423 @t420)))) % 36.31/36.57 (assume @p280 (forall @t318 (=> @t310 (=> @t393 (= @t316 @t314))))) % 36.31/36.57 (assume @p281 (forall @t410 (=> @t310 (=> @t392 (= @t316 @t301))))) % 36.31/36.57 (assume @p282 (forall @t427 (=> @t310 (=> @t426 (=> @t425 @t424))))) % 36.31/36.57 (assume @p283 (forall @t412 (=> @t310 (=> @t392 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t325 @t301)))))) % 36.31/36.57 (assume @p284 (forall @t430 (=> @t310 (=> @t402 (=> @t429 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t312 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t320 @t428))))))) % 36.31/36.57 (assume @p285 (forall (@list @t301 @t238 @t240 @t7) (=> @t310 (=> @t424 (not (=> @t426 (not @t425))))))) % 36.31/36.57 (assume @p286 (forall @t114 (= (forall @t6 @t431) @t384))) % 36.31/36.57 (assume @p287 (forall @t114 (= (exists @t6 @t30) (not @t384)))) % 36.31/36.57 (assume @p288 (forall (@list @t46 @t7) (not (tptp.c_member @t7 @t46 @t371)))) % 36.31/36.57 (assume @p289 (forall (@list @t47 @t7 @t26) (=> @t384 @t432))) % 36.31/36.57 (assume @p290 (forall @t303 (=> @t81 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t78)))) % 36.31/36.57 (assume @p291 (forall (@list @t47 @t58 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t58 @t351))) % 36.31/36.57 (assume @p292 (forall (@list @t50 @t58 @t26 @t7) (=> @t379 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t341)))) % 36.31/36.57 (assume @p293 (forall (@list @t47 @t433 @t259 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t259 @t433) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Set_Oinsert @t7 @t47 @t259) (tptp.c_Set_Oinsert @t7 @t47 @t433))))) % 36.31/36.57 (assume @p294 (forall @t114 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t9))) % 36.31/36.57 (assume @p295 (forall @t258 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t250))) % 36.31/36.57 (assume @p296 (forall @t366 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t58 @t250))) % 36.31/36.57 (assume @p297 (forall @t258 (= @t379 @t434))) % 36.31/36.57 (assume @p298 (forall @t258 (=> @t379 @t434))) % 36.31/36.57 (assume @p299 (forall @t366 (=> @t378 (= @t250 @t26)))) % 36.31/36.57 (assume @p300 (forall @t435 (=> @t406 (=> @t407 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t250 @t259))))) % 36.31/36.57 (assume @p301 (forall @t437 (=> @t406 (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t250 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t259 @t433)))))) % 36.31/36.57 (assume @p302 (forall @t258 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t348 @t26))) % 36.31/36.57 (assume @p303 (forall (@list @t58 @t433 @t259 @t26 @t7) (=> @t406 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t433 @t58) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t348 (tptp.c_Groups_Ominus__class_Ominus @t8 @t259 @t433)))))) % 36.31/36.57 (assume @p304 (forall @t263 (=> @t379 (=> @t407 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t58 (tptp.c_Groups_Ominus__class_Ominus @t8 @t259 @t26)) @t26))))) % 36.31/36.57 (assume @p305 (forall @t358 (not (= @t371 @t357)))) % 36.31/36.57 (assume @p306 (forall @t358 (not (= @t357 @t371)))) % 36.31/36.57 (assume @p307 (forall @t439 (= (= @t373 (tptp.c_Set_Oinsert @t7 @t46 (tptp.c_Set_Oinsert @t7 @t438 @t371))) (or (and (= @t47 @t46) (= @t50 @t438)) (and (= @t47 @t438) (= @t50 @t46)))))) % 36.31/36.57 (assume @p308 (forall @t179 (=> (= @t440 @t372) @t85))) % 36.31/36.57 (assume @p309 (forall @t18 (=> @t374 (tptp.c_Wellfounded_Owf @t7 @t232)))) % 36.31/36.57 (assume @p310 (forall @t178 (not (= @t9 @t371)))) % 36.31/36.57 (assume @p311 (forall @t279 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t371 @t58) @t58))) % 36.31/36.57 (assume @p312 (forall @t114 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t371) @t26))) % 36.31/36.57 (assume @p313 (forall @t258 (= (= @t250 @t371) (and @t384 (= @t58 @t371))))) % 36.31/36.57 (assume @p314 (forall @t370 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t13 @t441) @t442))) % 36.31/36.57 (assume @p315 (forall @t285 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t94 @t281) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t281 @t183) (= @t283 @t183))))) % 36.31/36.57 (assume @p316 (forall @t370 (=> @t385 @t442))) % 36.31/36.57 (assume @p317 (forall @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t371 @t26) @t371))) % 36.31/36.57 (assume @p318 (forall @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t371) @t26))) % 36.31/36.57 (assume @p319 (forall @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t26) @t371))) % 36.31/36.57 (assume @p320 (forall @t178 (= (tptp.c_Transitive__Closure_Otrancl @t7 @t380) @t380))) % 36.31/36.57 (assume @p321 (forall @t18 (=> @t374 @t335))) % 36.31/36.57 (assume @p322 (forall @t370 (=> @t385 (=> (tptp.c_Relation_Oantisym @t7 @t130) @t243)))) % 36.31/36.57 (assume @p323 (forall (@list @t13 @t130 @t7) (=> (tptp.c_Wellfounded_Oacyclic @t7 @t130) (=> @t385 @t335)))) % 36.31/36.57 (assume @p324 (forall @t414 (=> @t413 (=> (tptp.c_Relation_Osingle__valued @t7 @t79 @t130) @t161)))) % 36.31/36.57 (assume @p325 (forall @t178 (tptp.c_Relation_Oantisym @t7 @t380))) % 36.31/36.57 (assume @p326 (forall @t446 (=> @t445 (=> @t88 @t443)))) % 36.31/36.57 (assume @p327 (forall @t446 (= @t443 (and (=> @t88 @t445) (=> @t355 @t379))))) % 36.31/36.57 (assume @p328 (forall @t18 (tptp.c_Relation_Ototal__on @t7 @t371 @t13))) % 36.31/36.57 (assume @p329 (forall @t90 (=> @t447 (= (= @t417 @t388) (and (= @t10 @t388) (= @t66 @t388)))))) % 36.31/36.57 (assume @p330 (forall @t303 (=> @t447 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t388) @t301)))) % 36.31/36.57 (assume @p331 (forall @t303 (=> @t447 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t388 @t301) @t301)))) % 36.31/36.57 (assume @p332 (forall (@list @t47 @t13 @t7) (=> @t374 (not @t137)))) % 36.31/36.57 (assume @p333 (forall (@list @t10 @t47 @t13 @t7) (=> @t374 (=> (tptp.c_member @t15 (tptp.c_Product__Type_OPair @t7 @t7 @t47 @t10) @t13) (not @t166))))) % 36.31/36.57 (assume @p334 (forall @t356 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t353 @t58) (and @t89 @t379)))) % 36.31/36.57 (assume @p335 (forall @t356 (=> @t355 (= @t443 @t379)))) % 36.31/36.57 (assume @p336 (forall @t450 (= @t449 @t448))) % 36.31/36.57 (assume @p337 (forall @t450 (=> @t449 @t448))) % 36.31/36.57 (assume @p338 (forall @t263 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t348 @t259) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t261)))) % 36.31/36.57 (assume @p339 (forall @t258 (=> @t379 (= @t367 @t58)))) % 36.31/36.57 (assume @p340 (forall @t18 (= @t374 (forall @t6 @t150)))) % 36.31/36.57 (assume @p341 (forall (@list @t10 @t13 @t7) (=> @t374 @t170))) % 36.31/36.57 (assume @p342 (forall @t358 (= @t357 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t440 @t26)))) % 36.31/36.57 (assume @p343 (forall (@list @t130 @t13 @t180 @t7) (=> @t278 (=> @t385 (tptp.c_member @t15 @t180 (tptp.c_Transitive__Closure_Otrancl @t7 @t130)))))) % 36.31/36.57 (assume @p344 (forall @t368 (= @t451 (tptp.c_Groups_Ominus__class_Ominus @t8 @t348 @t440)))) % 36.31/36.57 (assume @p345 (forall @t368 (= @t451 (tptp.c_Groups_Ominus__class_Ominus @t8 @t452 @t58)))) % 36.31/36.57 (assume @p346 (forall @t358 (= @t453 @t357))) % 36.31/36.57 (assume @p347 (forall @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t9) @t371))) % 36.31/36.57 (assume @p348 (forall @t285 (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t284 @t282))) % 36.31/36.57 (assume @p349 (forall @t178 (= (tptp.c_Transitive__Closure_Ortrancl @t7 @t380) @t176))) % 36.31/36.57 (assume @p350 (forall @t358 (=> @t83 (= @t453 @t26)))) % 36.31/36.57 (assume @p351 (forall @t93 (=> @t355 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t353 @t383) @t26)))) % 36.31/36.57 (assume @p352 (forall @t277 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t275 @t274) (tptp.c_Relation_ODomain @t7 @t79 (tptp.c_Groups_Ominus__class_Ominus @t276 @t26 @t58))))) % 36.31/36.57 (assume @p353 (forall @t35 (= (tptp.c_Order__Relation_Owell__order__on @t7 @t26 @t13) (and @t331 (tptp.c_Wellfounded_Owf @t7 @t336))))) % 36.31/36.57 (assume @p354 (forall @t11 (= (tptp.c_Set_Othe__elem @t7 @t383) @t10))) % 36.31/36.57 (assume @p355 (forall (@list @t66 @t70 @t2 @t79 @t26 @t10 @t7) (=> @t88 (=> (tptp.c_Nitpick_Ofold__graph_H @t7 @t79 @t2 @t70 @t444 @t66) (tptp.c_Nitpick_Ofold__graph_H @t7 @t79 @t2 @t70 @t26 (tptp.hAPP @t113 @t66)))))) % 36.31/36.57 (assume @p356 (forall @t244 (=> @t459 (=> @t458 (=> @t457 (= @t456 @t242)))))) % 36.31/36.57 (assume @p357 (forall (@list @t94 @t7 @t79) (= (tptp.c_Relation_OImage @t79 @t7 @t94 @t461) @t371))) % 36.31/36.57 (assume @p358 (forall (@list @t26 @t463 @t13 @t464 @t79 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t276 @t464 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t463 @t26) (tptp.c_Orderings_Oord__class_Oless__eq @t460 (tptp.c_Relation_OImage @t7 @t79 @t464 @t463) @t462))))) % 36.31/36.57 (assume @p359 (forall (@list @t58 @t7 @t26) (=> (= @t26 @t380) (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t26 @t58)))) % 36.31/36.57 (assume @p360 (forall (@list @t58 @t26 @t94 @t7 @t79) (= (tptp.c_Relation_OImage @t79 @t7 @t94 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t460 @t26 @t58)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t466 @t465)))) % 36.31/36.57 (assume @p361 (forall @t114 (= (tptp.c_Relation_OImage @t7 @t7 @t176 @t26) @t26))) % 36.31/36.57 (assume @p362 (forall (@list @t467 @t13 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t7 @t7 @t13 @t467) @t467) (= (tptp.c_Relation_OImage @t7 @t7 @t173 @t467) @t467)))) % 36.31/36.57 (assume @p363 (forall (@list @t26 @t281 @t94 @t7 @t79) (= (tptp.c_Relation_OImage @t79 @t7 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t273 @t94 @t281) @t26) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t466 (tptp.c_Relation_OImage @t79 @t7 @t281 @t26))))) % 36.31/36.57 (assume @p364 (forall (@list @t70 @t2 @t79 @t7) (tptp.c_Nitpick_Ofold__graph_H @t7 @t79 @t2 @t70 @t371 @t70))) % 36.31/36.57 (assume @p365 (forall (@list @t157 @t154 @t79 @t7) (tptp.c_Nitpick_Ofold__graph_H @t7 @t79 @t154 @t157 @t371 @t157))) % 36.31/36.57 (assume @p366 (forall (@list @t13 @t50 @t79 @t26 @t47 @t7) (=> @t83 (=> @t104 (tptp.c_member @t79 @t50 @t462))))) % 36.31/36.57 (assume @p367 (forall @t470 (= @t469 (exists @t6 (and @t468 @t135))))) % 36.31/36.57 (assume @p368 (forall (@list @t26 @t94 @t7) (=> (tptp.c_Wellfounded_Owf @t7 @t94) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 (tptp.c_Relation_OImage @t7 @t7 @t94 @t26)) @t384)))) % 36.31/36.57 (assume @p369 (forall @t178 (tptp.c_Order__Relation_Owell__order__on @t7 @t371 @t380))) % 36.31/36.57 (assume @p370 (forall (@list @t47 @t13 @t79 @t50 @t7) (= (tptp.c_member @t7 @t50 (tptp.c_Relation_OImage @t79 @t7 @t13 (tptp.c_Set_Oinsert @t79 @t47 @t461))) (tptp.c_member @t121 @t350 @t13)))) % 36.31/36.57 (assume @p371 (forall @t244 (=> (tptp.c_Order__Relation_Opartial__order__on @t7 @t340 @t13) @t472))) % 36.31/36.57 (assume @p372 (forall @t244 (=> (tptp.c_Relation_Orefl__on @t7 @t340 @t13) (=> @t243 @t472)))) % 36.31/36.57 (assume @p373 (forall (@list @t58 @t26 @t13 @t7) (=> @t459 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t26 @t340) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t58 @t340) (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t7 @t7 @t13 @t26) (tptp.c_Relation_OImage @t7 @t7 @t13 @t58)) (forall @t6 (=> @t30 (exists @t28 (and @t473 @t20)))))))))) % 36.31/36.57 (assume @p374 (forall (@list @t2 @t7) (tptp.c_Wellfounded_Owf @t7 (tptp.c_Wellfounded_Omeasure @t7 @t2)))) % 36.31/36.57 (assume @p375 (forall (@list @t476 @t154 @t157 @t474 @t475 @t79 @t7) (= (tptp.c_Nitpick_Ofold__graph_H @t7 @t79 @t475 @t474 @t157 @t477) (or (and (= @t157 @t371) (= @t477 @t474)) (exists @t43 (and (= @t477 (tptp.hAPP (tptp.hAPP @t475 @t3) @t38)) (tptp.c_member @t7 @t3 @t157) (tptp.c_Nitpick_Ofold__graph_H @t7 @t79 @t475 @t474 (tptp.c_Groups_Ominus__class_Ominus @t8 @t157 (tptp.c_Set_Oinsert @t7 @t3 @t371)) @t38))))))) % 36.31/36.57 (assume @p376 (forall @t439 (=> (tptp.class_Groups_Oordered__ab__group__add @t7) (=> @t478 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t47 @t50) (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t46 @t438)))))) % 36.31/36.57 (assume @p377 (forall @t439 (=> (tptp.class_Groups_Oab__group__add @t7) (=> @t478 (= @t85 (= @t46 @t438)))))) % 36.31/36.57 (assume @p378 (forall @t470 (=> @t469 (not (forall @t6 (=> @t135 (not @t468))))))) % 36.31/36.57 (assume @p379 (forall (@list @t7 @t94 @t79 @t97) (=> (forall @t6 (=> @t264 (tptp.c_Wellfounded_Owf @t79 (tptp.hAPP @t94 @t3)))) (tptp.c_Wellfounded_Owf @t96 @t98)))) % 36.31/36.57 (assume @p380 (forall (@list @t47 @t50 @t13 @t26 @t7) (=> @t480 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t454 @t455) @t479)))) % 36.31/36.57 (assume @p381 (forall (@list @t47 @t481 @t13 @t79 @t7 @t2) (=> (= @t2 @t482) (=> @t374 (= (tptp.hAPP @t2 @t47) (tptp.hAPP (tptp.hAPP @t481 @t164) @t47)))))) % 36.31/36.57 (assume @p382 (forall @t139 (=> @t480 (=> @t83 (tptp.c_member @t7 @t47 @t455))))) % 36.31/36.57 (assume @p383 (forall @t483 (=> @t480 (=> @t55 @t471)))) % 36.31/36.57 (assume @p384 (forall (@list @t26 @t50 @t47 @t13 @t7) (=> @t471 (=> @t480 @t479)))) % 36.31/36.57 (assume @p385 (forall @t142 (=> @t480 (=> @t88 (=> @t87 (= @t485 @t140)))))) % 36.31/36.57 (assume @p386 (forall @t142 (=> @t480 (= @t140 (and @t485 @t88 @t87))))) % 36.31/36.57 (assume @p387 (forall @t483 (=> @t480 (=> @t55 @t456)))) % 36.31/36.57 (assume @p388 (forall (@list @t79 @t7 @t486 @t169) (=> (tptp.c_Wellfounded_Owf @t7 @t169) (forall @t6 (= (tptp.hAPP @t487 @t3) (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Recdef_Ocut @t7 @t79 @t487 @t169 @t3)) @t3)))))) % 36.31/36.57 (assume @p389 (forall (@list @t47 @t481 @t79 @t13 @t7) (=> @t374 (= (tptp.hAPP @t482 @t47) (tptp.hAPP (tptp.hAPP @t481 (tptp.c_Recdef_Ocut @t7 @t79 @t482 @t13 @t47)) @t47))))) % 36.31/36.57 (assume @p390 (forall @t142 (=> @t480 (=> @t88 (=> @t87 (= (= (tptp.c_Equiv__Relations_Oquotient @t7 @t383 @t13) (tptp.c_Equiv__Relations_Oquotient @t7 @t484 @t13)) @t140)))))) % 36.31/36.57 (assume @p391 (forall (@list @t50 @t47 @t10 @t13 @t26 @t7) (=> @t480 (=> (tptp.c_member @t7 @t10 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t455 @t454)) @t55)))) % 36.31/36.57 (assume @p392 (forall (@list @t7 @t58 @t10 @t26) (=> @t92 (=> @t249 @t489)))) % 36.31/36.57 (assume @p393 (forall @t252 (=> @t489 (not (=> @t92 @t253))))) % 36.31/36.57 (assume @p394 (forall @t255 (=> @t490 (not @t63)))) % 36.31/36.57 (assume @p395 (forall @t255 (=> @t60 (=> @t59 @t490)))) % 36.31/36.57 (assume @p396 (forall (@list @t491 @t467 @t13 @t26 @t7) (=> @t480 (=> (tptp.c_member @t8 @t467 @t492) (=> (tptp.c_member @t8 @t491 @t492) (or (= @t467 @t491) (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t467 @t491) @t371))))))) % 36.31/36.57 (assume @p397 (forall @t18 (= (tptp.c_Equiv__Relations_Oquotient @t7 @t371 @t13) @t493))) % 36.31/36.57 (assume @p398 (forall @t35 (= (= @t493 @t492) @t384))) % 36.31/36.57 (assume @p399 (forall @t35 (= (= @t492 @t493) @t384))) % 36.31/36.57 (assume @p400 (forall @t303 (=> @t447 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t388 @t301) @t388)))) % 36.31/36.57 (assume @p401 (forall @t303 (=> @t447 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t388) @t388)))) % 36.31/36.57 (assume @p402 (forall @t318 (=> @t299 @t495))) % 36.31/36.57 (assume @p403 (forall @t318 (=> @t496 @t495))) % 36.31/36.57 (assume @p404 (forall @t318 (=> @t299 @t497))) % 36.31/36.57 (assume @p405 (forall @t318 (=> @t496 @t497))) % 36.31/36.57 (assume @p406 (forall @t90 (=> @t496 (= @t397 (= @t498 @t10))))) % 36.31/36.57 (assume @p407 (forall @t419 (=> @t496 (= (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t10 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t66 @t70)) (and @t397 @t418))))) % 36.31/36.57 (assume @p408 (forall @t427 (=> @t496 (=> @t426 @t500)))) % 36.31/36.57 (assume @p409 (forall (@list @t240 @t301 @t238 @t7) (=> @t496 (=> @t425 @t500)))) % 36.31/36.57 (assume @p410 (forall @t318 (=> @t496 (=> @t393 (= @t494 @t301))))) % 36.31/36.57 (assume @p411 (forall @t410 (=> @t496 (=> @t392 (= @t494 @t314))))) % 36.31/36.57 (assume @p412 (forall @t422 (=> @t496 (=> @t421 (=> @t423 @t501))))) % 36.31/36.57 (assume @p413 (forall @t328 (=> @t496 (=> @t393 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t301 @t502)))))) % 36.31/36.57 (assume @p414 (forall @t430 (=> @t496 (=> @t402 (=> @t429 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t499 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t320 @t428))))))) % 36.31/36.57 (assume @p415 (forall @t422 (=> @t496 (=> @t501 (not (=> @t421 (not @t423))))))) % 36.31/36.57 (assume @p416 (forall @t503 (=> @t374 (tptp.c_Wellfounded_Owf @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t234 @t13 @t464))))) % 36.31/36.57 (assume @p417 (forall @t503 (=> @t374 (tptp.c_Wellfounded_Owf @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t234 @t464 @t13))))) % 36.31/36.57 (assume @p418 (forall @t279 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t371 @t58) @t371))) % 36.31/36.57 (assume @p419 (forall @t114 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t371) @t371))) % 36.31/36.57 (assume @p420 (forall @t258 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t488 @t26))) % 36.31/36.57 (assume @p421 (forall @t258 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t488 @t58))) % 36.31/36.57 (assume @p422 (forall (@list @t58 @t26 @t94 @t79 @t7) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_OImage @t79 @t7 @t94 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t460 @t26 @t58)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t466 @t465)))) % 36.31/36.57 (assume @p423 (forall @t258 (= @t504 (forall @t6 (=> @t30 (forall @t28 (=> @t473 @t24))))))) % 36.31/36.57 (assume @p424 (forall @t258 (=> @t379 (= @t488 @t26)))) % 36.31/36.57 (assume @p425 (forall @t366 (=> @t378 (= @t488 @t58)))) % 36.31/36.57 (assume @p426 (forall @t506 (=> @t505 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t259 @t58) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t259 @t488))))) % 36.31/36.57 (assume @p427 (forall @t437 (=> @t406 (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t488 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t259 @t433)))))) % 36.31/36.57 (assume @p428 (forall @t277 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_ODomain @t7 @t79 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t276 @t26 @t58)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t275 @t274)))) % 36.31/36.57 (assume @p429 (forall @t277 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Relation_ORange @t79 @t7 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t273 @t26 @t58)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t272 @t271)))) % 36.31/36.57 (assume @p430 (forall @t328 (=> @t299 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t508 @t507)))) % 36.31/36.57 (assume @p431 (forall @t328 (=> @t299 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t511 @t509)))) % 36.31/36.57 (assume @p432 (forall @t516 @t515)) % 36.31/36.57 (assume @p433 (forall @t519 @t518)) % 36.31/36.57 (assume @p434 (forall @t516 @t520)) % 36.31/36.57 (assume @p435 (forall @t519 @t521)) % 36.31/36.57 (assume @p436 (forall @t516 (and @t515 @t520))) % 36.31/36.57 (assume @p437 (forall @t519 (and @t518 @t521))) % 36.31/36.57 (assume @p438 (forall @t258 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t365) @t371))) % 36.31/36.57 (assume @p439 (forall @t258 (=> @t504 (= @t348 @t26)))) % 36.31/36.57 (assume @p440 (forall @t263 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t488 @t259) @t522) @t505))) % 36.31/36.57 (assume @p441 (forall @t258 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t348 @t488) @t26))) % 36.31/36.57 (assume @p442 (forall @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t261) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t348 @t364)))) % 36.31/36.57 (assume @p443 (forall @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t512) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t348 @t364)))) % 36.31/36.57 (assume @p444 (forall @t311 (=> @t496 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t240 @t240) @t240)))) % 36.31/36.57 (assume @p445 (forall @t303 (=> @t496 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t301) @t301)))) % 36.31/36.57 (assume @p446 (forall @t313 (=> @t496 (= @t499 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t238 @t240))))) % 36.31/36.57 (assume @p447 (forall @t318 (=> @t299 @t524))) % 36.31/36.57 (assume @p448 (forall @t318 (=> @t496 @t524))) % 36.31/36.57 (assume @p449 (forall @t313 (=> @t496 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t240 @t499) @t499)))) % 36.31/36.57 (assume @p450 (forall @t318 (=> @t299 @t525))) % 36.31/36.57 (assume @p451 (forall @t318 (=> @t496 @t525))) % 36.31/36.57 (assume @p452 (forall @t322 (=> @t496 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t238 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t240 @t320)) @t526)))) % 36.31/36.57 (assume @p453 (forall @t328 (=> @t299 @t528))) % 36.31/36.57 (assume @p454 (forall @t328 (=> @t496 @t528))) % 36.31/36.57 (assume @p455 (forall @t329 (=> @t496 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t499 @t320) @t526)))) % 36.31/36.57 (assume @p456 (forall @t328 (=> @t299 @t529))) % 36.31/36.57 (assume @p457 (forall @t328 (=> @t496 @t529))) % 36.31/36.57 (assume @p458 (forall @t300 (=> @t299 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t80 @t2 @t1) @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t113 @t298))))) % 36.31/36.57 (assume @p459 (forall @t114 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t26) @t26))) % 36.31/36.57 (assume @p460 (forall @t258 (= @t488 @t530))) % 36.31/36.57 (assume @p461 (forall @t258 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t488) @t488))) % 36.31/36.57 (assume @p462 (forall @t263 (= @t532 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t58 @t531)))) % 36.31/36.57 (assume @p463 (forall @t263 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t488 @t259) @t532))) % 36.31/36.57 (assume @p464 (forall @t252 (=> @t489 @t92))) % 36.31/36.57 (assume @p465 (forall @t252 (=> @t489 @t249))) % 36.31/36.57 (assume @p466 (forall @t270 (=> @t138 (=> @t269 (tptp.c_Relation_Orefl__on @t7 @t488 @t533))))) % 36.31/36.57 (assume @p467 (forall @t255 (=> @t490 @t59))) % 36.31/36.57 (assume @p468 (forall @t255 (=> @t490 @t60))) % 36.31/36.57 (assume @p469 (forall @t255 (= @t490 (and @t60 @t59)))) % 36.31/36.57 (assume @p470 (forall @t303 (=> @t302 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t78 @t301) @t301)))) % 36.31/36.57 (assume @p471 (forall @t303 (=> @t302 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t78) @t301)))) % 36.31/36.57 (assume @p472 (forall @t90 (=> @t302 (= (= @t498 @t78) (and (= @t10 @t78) (= @t66 @t78)))))) % 36.31/36.57 (assume @p473 (forall @t535 (=> @t534 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t502 @t301) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t315 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t323 @t301)))))) % 36.31/36.57 (assume @p474 (forall @t535 (=> @t534 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t325 @t301) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t523 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t323 @t301)))))) % 36.31/36.57 (assume @p475 (forall @t328 (=> @t534 (= @t508 @t507)))) % 36.31/36.57 (assume @p476 (forall @t328 (=> @t534 (= @t509 @t511)))) % 36.31/36.57 (assume @p477 (forall @t318 (=> @t299 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t7 @t301 @t494) @t301)))) % 36.31/36.57 (assume @p478 (forall @t318 (=> @t299 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t7 @t301 @t316) @t301)))) % 36.31/36.57 (assume @p479 (forall @t370 (=> @t45 (=> (tptp.c_Relation_Otrans @t7 @t130) (tptp.c_Relation_Otrans @t7 @t533))))) % 36.31/36.57 (assume @p480 (forall @t435 (= @t536 (tptp.c_Groups_Ominus__class_Ominus @t8 @t531 @t58)))) % 36.31/36.57 (assume @p481 (forall @t263 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t348 @t259) @t536))) % 36.31/36.57 (assume @p482 (forall @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t488 @t259) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t363)))) % 36.31/36.57 (assume @p483 (forall @t506 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t259 @t348) (tptp.c_Groups_Ominus__class_Ominus @t8 @t537 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t259 @t58))))) % 36.31/36.57 (assume @p484 (forall @t263 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t488 @t512) @t537) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t250 @t261) @t538)))) % 36.31/36.57 (assume @p485 (forall @t539 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t512 @t26) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t257 @t538)))) % 36.31/36.57 (assume @p486 (forall @t539 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t261 @t26) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t530 @t537)))) % 36.31/36.57 (assume @p487 (forall @t263 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t26 @t512) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t250 @t260)))) % 36.31/36.57 (assume @p488 (forall @t263 (= @t522 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t8 @t488 @t531)))) % 36.31/36.57 (assume @p489 (forall @t114 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t8 @t26 @t9) @t26))) % 36.31/36.57 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p491 (forall @t544 (=> @t543 (tptp.class_Lattices_Obounded__lattice @t542)))) % 36.31/36.57 (assume @p492 (forall @t544 (=> @t543 (tptp.class_Lattices_Obounded__lattice__top @t542)))) % 36.31/36.57 (assume @p493 (forall @t544 (=> @t543 (tptp.class_Lattices_Obounded__lattice__bot @t542)))) % 36.31/36.57 (assume @p494 (forall @t544 (=> @t545 (tptp.class_Lattices_Osemilattice__sup @t542)))) % 36.31/36.57 (assume @p495 (forall @t544 (=> @t545 (tptp.class_Lattices_Osemilattice__inf @t542)))) % 36.31/36.57 (assume @p496 (forall @t544 (=> (tptp.class_Lattices_Odistrib__lattice @t540) (tptp.class_Lattices_Odistrib__lattice @t542)))) % 36.31/36.57 (assume @p497 (forall @t544 (=> (tptp.class_Orderings_Opreorder @t540) (tptp.class_Orderings_Opreorder @t542)))) % 36.31/36.57 (assume @p498 (forall @t544 (=> @t545 (tptp.class_Lattices_Olattice @t542)))) % 36.31/36.57 (assume @p499 (forall @t544 (=> (tptp.class_Orderings_Oorder @t540) (tptp.class_Orderings_Oorder @t542)))) % 36.31/36.57 (assume @p500 (forall @t544 (=> (tptp.class_Orderings_Otop @t540) (tptp.class_Orderings_Otop @t542)))) % 36.31/36.57 (assume @p501 (forall @t544 (=> (tptp.class_Orderings_Oord @t540) (tptp.class_Orderings_Oord @t542)))) % 36.31/36.57 (assume @p502 (forall @t544 (=> (tptp.class_Orderings_Obot @t540) (tptp.class_Orderings_Obot @t542)))) % 36.31/36.57 (assume @p503 (forall @t544 (=> (tptp.class_Groups_Ominus @t540) (tptp.class_Groups_Ominus @t542)))) % 36.31/36.57 (assume @p504 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p512 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p513 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p514 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p515 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 36.31/36.57 (assume @p516 (forall @t547 (or (not @t546) @t73))) % 36.31/36.57 (assume @p517 (forall @t547 (or @t74 @t546))) % 36.31/36.57 (assume @p518 @t557) % 36.31/36.57 (assume @p519 @t575) % 36.31/36.57 (assume @p520 @t580) % 36.31/36.57 (assume @p521 @t583) % 36.31/36.57 (assume @p522 (not @t585)) % 36.31/36.57 (assume @p523 true) % 36.31/36.57 (step @p524 :rule aci_norm :args ((= @t592 (or @t431 @t590 @t589 @t588 @t587)))) % 36.31/36.57 (step @p525 :rule cong :premises (@p524) :args (@t594)) % 36.31/36.57 (step @p526 :rule quant-merge-prenex :args ((= (forall @t6 @t596) @t594))) % 36.31/36.57 (step @p527 :rule alpha_equiv :args (@t597 (@list @t586) @t598)) % 36.31/36.57 (step @p528 :rule refl :args (@t431)) % 36.31/36.57 (step @p529 :rule nary_cong :premises (@p528 @p527) :args (@t599)) % 36.31/36.57 (step @p530 :rule quant-miniscope-or :args ((= @t596 @t599))) % 36.31/36.57 (step @p531 :rule trans :premises (@p530 @p529)) % 36.31/36.57 (step @p532 :rule symm :premises (@p531)) % 36.31/36.57 (step @p533 :rule cong :premises (@p532) :args ((forall @t6 (or @t431 @t602)))) % 36.31/36.57 (step @p534 :rule trans :premises (@p533 @p526)) % 36.31/36.57 (step @p535 :rule trans :premises (@p534 @p525)) % 36.31/36.57 (step @p536 :rule bool-impl-elim :args (@t30 @t602)) % 36.31/36.57 (step @p537 :rule cong :premises (@p536) :args ((forall @t6 (=> @t30 @t602)))) % 36.31/36.57 (step @p538 :rule trans :premises (@p537 @p535)) % 36.31/36.57 (step @p539 :rule aci_norm :args ((= (or @t600 @t603) @t601))) % 36.31/36.57 (step @p540 :rule aci_norm :args ((= (or @t23 @t22) @t603))) % 36.31/36.57 (step @p541 :rule refl :args (@t22)) % 36.31/36.57 (step @p542 :rule bool-double-not-elim :args (@t23)) % 36.31/36.57 (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or (not @t24) @t22))) % 36.31/36.57 (step @p544 :rule bool-impl-elim :args (@t24 @t22)) % 36.31/36.57 (step @p545 :rule trans :premises (@p544 @p543)) % 36.31/36.57 (step @p546 :rule trans :premises (@p545 @p540)) % 36.31/36.57 (step @p547 :rule refl :args (@t600)) % 36.31/36.57 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t600 @t25))) % 36.31/36.57 (step @p549 :rule trans :premises (@p548 @p539)) % 36.31/36.57 (step @p550 :rule bool-impl-elim :args (@t27 @t25)) % 36.31/36.57 (step @p551 :rule trans :premises (@p550 @p549)) % 36.31/36.57 (step @p552 :rule cong :premises (@p551) :args (@t29)) % 36.31/36.57 (step @p553 :rule refl :args (@t30)) % 36.31/36.57 (step @p554 :rule cong :premises (@p553 @p552) :args (@t31)) % 36.31/36.57 (step @p555 :rule cong :premises (@p554) :args (@t32)) % 36.31/36.57 (step @p556 :rule trans :premises (@p555 @p538)) % 36.31/36.57 (step @p557 :rule refl :args (@t33)) % 36.31/36.57 (step @p558 :rule cong :premises (@p557 @p556) :args (@t34)) % 36.31/36.57 (step @p559 :rule cong :premises (@p558) :args (@t36)) % 36.31/36.57 (step @p560 :rule eq_resolve :premises (@p4 @p559)) % 36.31/36.57 (step @p561 :rule instantiate :premises (@p560) :args ((@list @t584 @t549 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.57 (step @p562 :rule alpha_equiv :args (@t604 @t605 @t607)) % 36.31/36.57 (step @p563 :rule alpha_equiv :args (@t608 @t605 @t610)) % 36.31/36.57 (step @p564 :rule alpha_equiv :args (@t611 @t605 @t613)) % 36.31/36.57 (step @p565 :rule nary_cong :premises (@p564 @p563 @p562) :args (@t614)) % 36.31/36.57 (step @p566 :rule quant-miniscope-and :args ((= @t580 @t614))) % 36.31/36.57 (step @p567 :rule trans :premises (@p566 @p565)) % 36.31/36.57 (step @p568 :rule eq_resolve :premises (@p520 @p567)) % 36.31/36.57 (step @p569 :rule and_elim :premises (@p568) :args (2)) % 36.31/36.57 (step @p570 :rule instantiate :premises (@p569) :args ((@list tptp.v_i))) % 36.31/36.57 (step @p571 :rule cnf_equiv_pos1 :args (@t617)) % 36.31/36.57 (step @p572 :rule reordering :premises (@p571) :args ((or (not @t616) @t615 (not @t617)))) % 36.31/36.57 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p561) :args (@t615 @t618 (@list @t616 @t617))) % 36.31/36.57 (step @p574 :rule instantiate :premises (@p573) :args ((@list tptp.v_a tptp.v_b))) % 36.31/36.57 (step @p575 :rule aci_norm :args ((= (or @t620 (or @t619 @t88)) (or @t620 @t619 @t88)))) % 36.31/36.57 (step @p576 :rule bool-impl-elim :args (@t140 @t88)) % 36.31/36.57 (step @p577 :rule refl :args (@t620)) % 36.31/36.57 (step @p578 :rule nary_cong :premises (@p577 @p576) :args ((or @t620 @t141))) % 36.31/36.57 (step @p579 :rule trans :premises (@p578 @p575)) % 36.31/36.57 (step @p580 :rule bool-impl-elim :args (@t138 @t141)) % 36.31/36.57 (step @p581 :rule trans :premises (@p580 @p579)) % 36.31/36.57 (step @p582 :rule cong :premises (@p581) :args (@t143)) % 36.31/36.57 (step @p583 :rule eq_resolve :premises (@p46 @p582)) % 36.31/36.57 (step @p584 :rule instantiate :premises (@p583) :args ((@list tptp.v_a tptp.v_a @t622 @t549 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.57 (step @p585 :rule instantiate :premises (@p79) :args ((@list @t621 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.57 (step @p586 :rule instantiate :premises (@p75) :args ((@list @t621 tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.57 (step @p587 :rule cnf_or_pos :args (@t629)) % 36.31/36.57 (step @p588 :rule reordering :premises (@p587) :args ((or @t626 @t628 @t623 (not @t629)))) % 36.31/36.57 (step @p589 :rule chain_m_resolution :premises (@p588 @p586 @p585 @p584) :args (@t623 (@list false false false) (@list @t625 @t627 @t629))) % 36.31/36.57 (step @p590 :rule aci_norm :args ((= @t650 @t648))) % 36.31/36.57 (step @p591 :rule cong :premises (@p590) :args (@t652)) % 36.31/36.57 (step @p592 :rule quant-merge-prenex :args ((= (forall @t574 @t654) @t652))) % 36.31/36.57 (step @p593 :rule alpha_equiv :args (@t655 (@list @t631 @t630) (@list @t202 @t201))) % 36.31/36.57 (step @p594 :rule refl :args (@t639)) % 36.31/36.57 (step @p595 :rule refl :args (@t643)) % 36.31/36.57 (step @p596 :rule refl :args (@t647)) % 36.31/36.57 (step @p597 :rule nary_cong :premises (@p596 @p595 @p594 @p593) :args (@t656)) % 36.31/36.57 (step @p598 :rule quant-miniscope-or :args ((= @t654 @t656))) % 36.31/36.57 (step @p599 :rule trans :premises (@p598 @p597)) % 36.31/36.57 (step @p600 :rule symm :premises (@p599)) % 36.31/36.57 (step @p601 :rule cong :premises (@p600) :args ((forall @t574 @t660))) % 36.31/36.57 (step @p602 :rule trans :premises (@p601 @p592)) % 36.31/36.57 (step @p603 :rule trans :premises (@p602 @p591)) % 36.31/36.57 (step @p604 :rule aci_norm :args ((= (or @t661 @t659) @t660))) % 36.31/36.57 (step @p605 :rule refl :args (@t659)) % 36.31/36.57 (step @p606 :rule aci_norm :args ((= (or @t647 (or @t643 @t639)) @t661))) % 36.31/36.57 (step @p607 :rule bool-and-de-morgan :args (@t642 @t638 true)) % 36.31/36.57 (step @p608 :rule nary_cong :premises (@p596 @p607) :args ((or @t647 (not (and @t642 @t638))))) % 36.31/36.57 (step @p609 :rule bool-and-de-morgan :args (@t646 @t642 (and @t638))) % 36.31/36.57 (step @p610 :rule trans :premises (@p609 @p608)) % 36.31/36.57 (step @p611 :rule trans :premises (@p610 @p606)) % 36.31/36.57 (step @p612 :rule nary_cong :premises (@p611 @p605) :args ((or (not @t662) @t659))) % 36.31/36.57 (step @p613 :rule trans :premises (@p612 @p604)) % 36.31/36.57 (step @p614 :rule bool-impl-elim :args (@t662 @t659)) % 36.31/36.57 (step @p615 :rule trans :premises (@p614 @p613)) % 36.31/36.57 (step @p616 :rule cong :premises (@p615) :args ((forall @t574 (=> @t662 @t659)))) % 36.31/36.57 (step @p617 :rule trans :premises (@p616 @p603)) % 36.31/36.57 (step @p618 :rule aci_norm :args ((= (or @t565 (or @t657 @t561)) @t658))) % 36.31/36.57 (step @p619 :rule bool-impl-elim :args (@t563 @t561)) % 36.31/36.57 (step @p620 :rule refl :args (@t565)) % 36.31/36.57 (step @p621 :rule nary_cong :premises (@p620 @p619) :args ((or @t565 @t564))) % 36.31/36.57 (step @p622 :rule trans :premises (@p621 @p618)) % 36.31/36.57 (step @p623 :rule refl :args (@t564)) % 36.31/36.57 (step @p624 :rule bool-double-not-elim :args (@t565)) % 36.31/36.57 (step @p625 :rule nary_cong :premises (@p624 @p623) :args ((or (not @t566) @t564))) % 36.31/36.57 (step @p626 :rule bool-impl-elim :args (@t566 @t564)) % 36.31/36.57 (step @p627 :rule trans :premises (@p626 @p625)) % 36.31/36.57 (step @p628 :rule trans :premises (@p627 @p622)) % 36.31/36.57 (step @p629 :rule cong :premises (@p628) :args (@t567)) % 36.31/36.57 (step @p630 :rule alpha_equiv :args (@t663 @t605 @t664)) % 36.31/36.57 (step @p631 :rule alpha_equiv :args (@t665 @t605 @t666)) % 36.31/36.57 (step @p632 :rule alpha_equiv :args (@t667 @t605 @t668)) % 36.31/36.57 (step @p633 :rule nary_cong :premises (@p632 @p631 @p630) :args (@t669)) % 36.31/36.57 (step @p634 :rule quant-miniscope-and :args ((= @t572 @t669))) % 36.31/36.57 (step @p635 :rule trans :premises (@p634 @p633)) % 36.31/36.57 (step @p636 :rule cong :premises (@p635 @p629) :args (@t573)) % 36.31/36.57 (step @p637 :rule cong :premises (@p636) :args (@t575)) % 36.31/36.57 (step @p638 :rule trans :premises (@p637 @p617)) % 36.31/36.57 (step @p639 :rule eq_resolve :premises (@p519 @p638)) % 36.31/36.57 (step @p640 :rule refl :args (@t671)) % 36.31/36.57 (step @p641 :rule refl :args (@t673)) % 36.31/36.57 (step @p642 :rule eq-symm :args (tptp.v_b tptp.v_a)) % 36.31/36.57 (step @p643 :rule refl :args (@t675)) % 36.31/36.57 (step @p644 :rule refl :args (@t677)) % 36.31/36.57 (step @p645 :rule refl :args (@t679)) % 36.31/36.57 (step @p646 :rule nary_cong :premises (@p645 @p644 @p643 @p642 @p641 @p640) :args (@t680)) % 36.31/36.57 (step @p647 :rule refl :args (@t681)) % 36.31/36.57 (step @p648 :rule cong :premises (@p647 @p646) :args ((=> @t681 @t680))) % 36.31/36.57 (assume-push @p773 @t681) % 36.31/36.57 (step @p650 :rule instantiate :premises (@p639) :args ((@list tptp.v_P tptp.v_b tptp.v_a))) % 36.31/36.57 (step-pop @p774 :rule scope :premises (@p650)) % 36.31/36.57 (step @p651 :rule process_scope :premises (@p774) :args (@t680)) % 36.31/36.57 (step @p653 :rule eq_resolve :premises (@p651 @p648)) % 36.31/36.57 (step @p654 :rule implies_elim :premises (@p653)) % 36.31/36.57 (step @p655 :rule chain_m_resolution :premises (@p654 @p639) :args (@t683 @t684 (@list @t681))) % 36.31/36.57 (step @p656 :rule alpha_equiv :args (@t685 @t607 @t664)) % 36.31/36.57 (step @p657 :rule equiv_elim1 :premises (@p656)) % 36.31/36.57 (step @p658 :rule chain_m_resolution :premises (@p657 @p569) :args (@t674 @t684 @t686)) % 36.31/36.57 (step @p659 :rule and_elim :premises (@p568) :args (1)) % 36.31/36.57 (step @p660 :rule alpha_equiv :args (@t687 @t610 @t666)) % 36.31/36.57 (step @p661 :rule equiv_elim1 :premises (@p660)) % 36.31/36.57 (step @p662 :rule chain_m_resolution :premises (@p661 @p659) :args (@t676 @t684 @t688)) % 36.31/36.57 (step @p663 :rule and_elim :premises (@p568) :args (0)) % 36.31/36.57 (step @p664 :rule alpha_equiv :args (@t689 @t613 @t668)) % 36.31/36.57 (step @p665 :rule equiv_elim1 :premises (@p664)) % 36.31/36.57 (step @p666 :rule chain_m_resolution :premises (@p665 @p663) :args (@t678 @t684 @t690)) % 36.31/36.57 (step @p667 :rule instantiate :premises (@p3) :args ((@list @t581 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.57 (step @p668 :rule aci_norm :args ((= (or @t703 @t550) (or @t702 @t698 @t694 @t550)))) % 36.31/36.57 (step @p669 :rule refl :args (@t550)) % 36.31/36.57 (step @p670 :rule aci_norm :args ((= (or @t702 (or @t698 @t694)) @t703))) % 36.31/36.57 (step @p671 :rule bool-and-de-morgan :args (@t697 @t693 true)) % 36.31/36.57 (step @p672 :rule refl :args (@t702)) % 36.31/36.57 (step @p673 :rule nary_cong :premises (@p672 @p671) :args ((or @t702 (not (and @t697 @t693))))) % 36.31/36.57 (step @p674 :rule bool-and-de-morgan :args (@t701 @t697 (and @t693))) % 36.31/36.57 (step @p675 :rule trans :premises (@p674 @p673)) % 36.31/36.57 (step @p676 :rule trans :premises (@p675 @p670)) % 36.31/36.57 (step @p677 :rule nary_cong :premises (@p676 @p669) :args ((or (not @t704) @t550))) % 36.31/36.57 (step @p678 :rule trans :premises (@p677 @p668)) % 36.31/36.57 (step @p679 :rule bool-impl-elim :args (@t704 @t550)) % 36.31/36.57 (step @p680 :rule trans :premises (@p679 @p678)) % 36.31/36.57 (step @p681 :rule cong :premises (@p680) :args ((forall @t6 (=> @t704 @t550)))) % 36.31/36.57 (step @p682 :rule refl :args (@t550)) % 36.31/36.57 (step @p683 :rule alpha_equiv :args (@t705 @t598 @t706)) % 36.31/36.57 (step @p684 :rule alpha_equiv :args (@t707 @t598 @t708)) % 36.31/36.57 (step @p685 :rule alpha_equiv :args (@t709 @t598 @t710)) % 36.31/36.57 (step @p686 :rule nary_cong :premises (@p685 @p684 @p683) :args (@t711)) % 36.31/36.57 (step @p687 :rule quant-miniscope-and :args ((= @t555 @t711))) % 36.31/36.57 (step @p688 :rule trans :premises (@p687 @p686)) % 36.31/36.57 (step @p689 :rule cong :premises (@p688 @p682) :args (@t556)) % 36.31/36.57 (step @p690 :rule cong :premises (@p689) :args (@t557)) % 36.31/36.57 (step @p691 :rule trans :premises (@p690 @p681)) % 36.31/36.57 (step @p692 :rule eq_resolve :premises (@p518 @p691)) % 36.31/36.57 (step @p693 :rule instantiate :premises (@p692) :args ((@list tptp.v_P))) % 36.31/36.57 (step @p694 :rule alpha_equiv :args (@t685 @t607 @t706)) % 36.31/36.57 (step @p695 :rule equiv_elim1 :premises (@p694)) % 36.31/36.57 (step @p696 :rule chain_m_resolution :premises (@p695 @p569) :args (@t712 @t684 @t686)) % 36.31/36.57 (step @p697 :rule alpha_equiv :args (@t687 @t610 @t708)) % 36.31/36.57 (step @p698 :rule equiv_elim1 :premises (@p697)) % 36.31/36.57 (step @p699 :rule chain_m_resolution :premises (@p698 @p659) :args (@t713 @t684 @t688)) % 36.31/36.57 (step @p700 :rule alpha_equiv :args (@t689 @t613 @t710)) % 36.31/36.57 (step @p701 :rule equiv_elim1 :premises (@p700)) % 36.31/36.57 (step @p702 :rule chain_m_resolution :premises (@p701 @p663) :args (@t714 @t684 @t690)) % 36.31/36.57 (step @p703 :rule cnf_or_pos :args (@t721)) % 36.31/36.57 (step @p704 :rule reordering :premises (@p703) :args ((or @t720 @t719 @t718 @t717 (not @t721)))) % 36.31/36.57 (step @p705 :rule chain_m_resolution :premises (@p704 @p702 @p699 @p696 @p693) :args (@t717 (@list false false false false) (@list @t714 @t713 @t712 @t721))) % 36.31/36.57 (step @p706 :rule cnf_and_pos :args (@t717 1)) % 36.31/36.57 (step @p707 :rule reordering :premises (@p706) :args ((or @t715 @t722))) % 36.31/36.57 (step @p708 :rule chain_m_resolution :premises (@p707 @p705) :args (@t715 @t684 @t723)) % 36.31/36.57 (step @p709 :rule cnf_equiv_pos1 :args (@t725)) % 36.31/36.57 (step @p710 :rule reordering :premises (@p709) :args ((or (not @t715) @t724 (not @t725)))) % 36.31/36.57 (step @p711 :rule chain_m_resolution :premises (@p710 @p708 @p667) :args (@t724 @t618 (@list @t715 @t725))) % 36.31/36.57 (step @p712 :rule instantiate :premises (@p711) :args ((@list tptp.v_a))) % 36.31/36.57 (step @p713 :rule bool-double-not-elim :args (@t726)) % 36.31/36.57 (step @p714 :rule refl :args (@t727)) % 36.31/36.57 (step @p715 :rule refl :args (@t728)) % 36.31/36.57 (step @p716 :rule nary_cong :premises (@p715 @p714 @p713) :args ((or @t728 @t727 (not @t729)))) % 36.31/36.57 (assume-push @p775 @t583) % 36.31/36.57 (assume-push @p776 @t682) % 36.31/36.57 (assume-push @p777 @t729) % 36.31/36.57 (step @p720 :rule evaluate :args ((= false true))) % 36.31/36.57 (step @p721 :rule true_intro :premises (@p521)) % 36.31/36.57 (step @p722 :rule refl :args (@t581)) % 36.31/36.57 (step @p723 :rule refl :args (tptp.v_a)) % 36.31/36.57 (step @p724 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.31/36.57 (step @p725 :rule cong :premises (@p724 @p724 @p723 @p776) :args (@t624)) % 36.31/36.57 (step @p726 :rule refl :args (@t68)) % 36.31/36.57 (step @p727 :rule cong :premises (@p726 @p725 @p722) :args (@t726)) % 36.31/36.57 (step @p728 :rule false_intro :premises (@p712)) % 36.31/36.57 (step @p729 :rule symm :premises (@p728)) % 36.31/36.57 (step @p730 :rule trans :premises (@p729 @p727 @p721)) % 36.31/36.57 (step @p731 false :rule eq_resolve :premises (@p730 @p720)) % 36.31/36.57 (step-pop @p778 :rule scope :premises (@p731)) % 36.31/36.57 (step-pop @p779 :rule scope :premises (@p778)) % 36.31/36.57 (step-pop @p780 :rule scope :premises (@p779)) % 36.31/36.57 (step @p732 :rule process_scope :premises (@p780) :args (false)) % 36.31/36.57 (step @p736 :rule not_and :premises (@p732)) % 36.31/36.57 (step @p737 :rule eq_resolve :premises (@p736 @p716)) % 36.31/36.57 (step @p738 :rule chain_m_resolution :premises (@p737 @p521 @p712) :args (@t727 (@list false true) (@list @t583 @t726))) % 36.31/36.57 (step @p739 :rule aci_norm :args ((= (or @t731 @t732) (or @t731 @t376 @t730 @t49)))) % 36.31/36.57 (step @p740 :rule aci_norm :args ((= (or @t376 (or @t730 @t49)) @t732))) % 36.31/36.57 (step @p741 :rule bool-impl-elim :args (@t52 @t49)) % 36.31/36.57 (step @p742 :rule refl :args (@t376)) % 36.31/36.57 (step @p743 :rule nary_cong :premises (@p742 @p741) :args ((or @t376 @t53))) % 36.31/36.57 (step @p744 :rule trans :premises (@p743 @p740)) % 36.31/36.57 (step @p745 :rule bool-impl-elim :args (@t55 @t53)) % 36.31/36.57 (step @p746 :rule trans :premises (@p745 @p744)) % 36.31/36.57 (step @p747 :rule refl :args (@t731)) % 36.31/36.57 (step @p748 :rule nary_cong :premises (@p747 @p746) :args ((or @t731 @t56))) % 36.31/36.57 (step @p749 :rule trans :premises (@p748 @p739)) % 36.31/36.57 (step @p750 :rule bool-impl-elim :args (@t45 @t56)) % 36.31/36.57 (step @p751 :rule trans :premises (@p750 @p749)) % 36.31/36.57 (step @p752 :rule cong :premises (@p751) :args (@t57)) % 36.31/36.58 (step @p753 :rule eq_resolve :premises (@p6 @p752)) % 36.31/36.58 (step @p754 :rule instantiate :premises (@p753) :args ((@list tptp.v_a tptp.v_b tptp.v_a @t581 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.58 (step @p755 :rule cnf_and_pos :args (@t717 0)) % 36.31/36.58 (step @p756 :rule reordering :premises (@p755) :args ((or @t716 @t722))) % 36.31/36.58 (step @p757 :rule chain_m_resolution :premises (@p756 @p705) :args (@t716 @t684 @t723)) % 36.31/36.58 (step @p758 :rule cnf_or_pos :args (@t735)) % 36.31/36.58 (step @p759 :rule reordering :premises (@p758) :args ((or @t728 @t733 @t734 @t726 (not @t735)))) % 36.31/36.58 (step @p760 :rule chain_m_resolution :premises (@p759 @p521 @p757 @p712 @p754) :args (@t733 (@list false false true false) (@list @t583 @t716 @t726 @t735))) % 36.31/36.58 (step @p761 :rule cnf_or_pos :args (@t683)) % 36.31/36.58 (step @p762 :rule reordering :premises (@p761) :args ((or @t671 @t682 @t673 @t679 @t677 @t675 (not @t683)))) % 36.31/36.58 (step @p763 :rule chain_m_resolution :premises (@p762 @p760 @p738 @p666 @p662 @p658 @p655) :args (@t673 (@list true true false false false false) (@list @t671 @t682 @t678 @t676 @t674 @t683))) % 36.31/36.58 (step @p764 :rule cnf_or_pos :args (@t739)) % 36.31/36.58 (step @p765 :rule reordering :premises (@p764) :args ((or @t585 @t682 @t672 @t738 @t737 (not @t739)))) % 36.31/36.58 (step @p766 :rule chain_m_resolution :premises (@p765 @p522 @p738 @p763 @p589 @p574) :args (@t737 (@list true true true false false) (@list @t585 @t682 @t672 @t623 @t739))) % 36.31/36.58 (assume-push @p781 @t12) % 36.31/36.58 (step @p768 :rule instantiate :premises (@p2) :args ((@list tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 36.31/36.58 (step-pop @p782 :rule scope :premises (@p768)) % 36.31/36.58 (step @p769 :rule process_scope :premises (@p782) :args (@t736)) % 36.31/36.58 (step @p771 :rule implies_elim :premises (@p769)) % 36.31/36.58 (step @p772 false :rule chain_m_resolution :premises (@p771 @p766 @p2) :args (false (@list true false) (@list @t736 @t12))) % 36.31/36.58 ) % 36.31/36.58 % SZS output end Proof % 36.31/36.58 % cvc5 exiting %------------------------------------------------------------------------------