%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT123+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:20 AM UTC 2026 % Result : Theorem 1.01s 1.21s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT123+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 14:28:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.67 %----Proving TF0_NAR, FOF, or CNF % 1.01/1.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.01/1.21 % SZS status Theorem % 1.01/1.21 % SZS output start Proof % 1.01/1.21 ( % 1.01/1.21 (declare-sort $$unsorted 0) % 1.01/1.21 (declare-const tptp.v_L $$unsorted) % 1.01/1.21 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Predicate_Oinv__imagep (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.01/1.21 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.01/1.21 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_fequal $$unsorted) % 1.01/1.21 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.01/1.21 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_fNot $$unsorted) % 1.01/1.21 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.21 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.21 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.01/1.21 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.01/1.21 (define @t3 () (= @t2 @t1)) % 1.01/1.21 (define @t4 () (@var "B_x" $$unsorted)) % 1.01/1.21 (define @t5 () (tptp.hAPP @t1 @t4)) % 1.01/1.21 (define @t6 () (tptp.hAPP @t2 @t4)) % 1.01/1.21 (define @t7 () (= @t6 @t5)) % 1.01/1.21 (define @t8 () (@list @t4)) % 1.01/1.21 (define @t9 () (@var "V_y_2" $$unsorted)) % 1.01/1.21 (define @t10 () (@var "V_x_2" $$unsorted)) % 1.01/1.21 (define @t11 () (@var "V_La_2" $$unsorted)) % 1.01/1.21 (define @t12 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.01/1.21 (define @t13 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t14 () (tptp.c_member @t13)) % 1.01/1.21 (define @t15 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 @t11) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.01/1.21 (define @t16 () (= @t10 @t9)) % 1.01/1.21 (define @t17 () (not @t16)) % 1.01/1.21 (define @t18 () (@list @t11 @t9 @t10)) % 1.01/1.21 (define @t19 () (@list @t10 @t11)) % 1.01/1.21 (define @t20 () (@var "V_B_2" $$unsorted)) % 1.01/1.21 (define @t21 () (@var "V_c_2" $$unsorted)) % 1.01/1.21 (define @t22 () (@var "T_a" $$unsorted)) % 1.01/1.21 (define @t23 () (tptp.c_member @t22)) % 1.01/1.21 (define @t24 () (tptp.hAPP @t23 @t21)) % 1.01/1.21 (define @t25 () (tptp.hBOOL (tptp.hAPP @t24 @t20))) % 1.01/1.21 (define @t26 () (@var "V_A_2" $$unsorted)) % 1.01/1.21 (define @t27 () (tptp.hBOOL (tptp.hAPP @t24 @t26))) % 1.01/1.21 (define @t28 () (not @t25)) % 1.01/1.21 (define @t29 () (=> @t27 @t28)) % 1.01/1.21 (define @t30 () (= @t26 @t20)) % 1.01/1.21 (define @t31 () (@var "V_i_2" $$unsorted)) % 1.01/1.21 (define @t32 () (tptp.hAPP @t4 @t31)) % 1.01/1.21 (define @t33 () (@var "V_F_2" $$unsorted)) % 1.01/1.21 (define @t34 () (tptp.hAPP @t33 @t4)) % 1.01/1.21 (define @t35 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t13)) % 1.01/1.21 (define @t36 () (tptp.c_member @t35)) % 1.01/1.21 (define @t37 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.01/1.21 (define @t38 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t33 @t31)) % 1.01/1.21 (define @t39 () (@list @t31 @t33)) % 1.01/1.21 (define @t40 () (@var "V_S_2" $$unsorted)) % 1.01/1.21 (define @t41 () (@var "V_R_2" $$unsorted)) % 1.01/1.21 (define @t42 () (= @t41 @t40)) % 1.01/1.21 (define @t43 () (tptp.tc_fun @t22 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t44 () (tptp.hAPP (tptp.c_COMBC @t22 @t43 tptp.tc_HOL_Obool) @t23)) % 1.01/1.21 (define @t45 () (tptp.hAPP @t44 @t40)) % 1.01/1.21 (define @t46 () (tptp.hAPP @t44 @t41)) % 1.01/1.21 (define @t47 () (@list @t40 @t41 @t22)) % 1.01/1.21 (define @t48 () (@var "B_L" $$unsorted)) % 1.01/1.21 (define @t49 () (tptp.hAPP @t26 @t10)) % 1.01/1.21 (define @t50 () (tptp.hBOOL @t49)) % 1.01/1.21 (define @t51 () (tptp.hAPP @t23 @t10)) % 1.01/1.21 (define @t52 () (tptp.hBOOL (tptp.hAPP @t51 @t26))) % 1.01/1.21 (define @t53 () (@list @t26 @t10 @t22)) % 1.01/1.21 (define @t54 () (@var "V_a_2" $$unsorted)) % 1.01/1.21 (define @t55 () (tptp.hAPP @t23 @t54)) % 1.01/1.21 (define @t56 () (tptp.hBOOL (tptp.hAPP @t55 @t26))) % 1.01/1.21 (define @t57 () (@var "V_b_2" $$unsorted)) % 1.01/1.21 (define @t58 () (tptp.hAPP @t23 @t57)) % 1.01/1.21 (define @t59 () (tptp.hBOOL (tptp.hAPP @t58 @t26))) % 1.01/1.21 (define @t60 () (= @t54 @t57)) % 1.01/1.21 (define @t61 () (@list @t26 @t22 @t57 @t54)) % 1.01/1.21 (define @t62 () (tptp.hAPP @t23 @t9)) % 1.01/1.21 (define @t63 () (tptp.hBOOL (tptp.hAPP @t62 @t26))) % 1.01/1.21 (define @t64 () (tptp.hBOOL (tptp.hAPP @t51 @t20))) % 1.01/1.21 (define @t65 () (@list @t9 @t10 @t22)) % 1.01/1.21 (define @t66 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.01/1.21 (define @t67 () (tptp.hAPP @t66 @t10)) % 1.01/1.21 (define @t68 () (tptp.c_member @t12)) % 1.01/1.21 (define @t69 () (tptp.hAPP @t68 (tptp.hAPP @t67 @t9))) % 1.01/1.21 (define @t70 () (tptp.hBOOL (tptp.hAPP @t69 @t11))) % 1.01/1.21 (define @t71 () (= @t10 @t54)) % 1.01/1.21 (define @t72 () (not @t71)) % 1.01/1.21 (define @t73 () (tptp.hAPP @t66 @t57)) % 1.01/1.21 (define @t74 () (= @t9 @t57)) % 1.01/1.21 (define @t75 () (= @t9 @t54)) % 1.01/1.21 (define @t76 () (not @t60)) % 1.01/1.21 (define @t77 () (@list @t9 @t10 @t11 @t57 @t54)) % 1.01/1.21 (define @t78 () (= @t10 @t57)) % 1.01/1.21 (define @t79 () (tptp.hAPP @t66 @t54)) % 1.01/1.21 (define @t80 () (tptp.hAPP @t2 @t9)) % 1.01/1.21 (define @t81 () (tptp.hAPP @t2 @t10)) % 1.01/1.21 (define @t82 () (@var "V_r_2" $$unsorted)) % 1.01/1.21 (define @t83 () (@var "T_b" $$unsorted)) % 1.01/1.21 (define @t84 () (not @t56)) % 1.01/1.21 (define @t85 () (tptp.hAPP @t20 @t54)) % 1.01/1.21 (define @t86 () (tptp.hAPP @t85 @t57)) % 1.01/1.21 (define @t87 () (tptp.hBOOL (tptp.hAPP @t86 @t21))) % 1.01/1.21 (define @t88 () (@var "T_c" $$unsorted)) % 1.01/1.21 (define @t89 () (tptp.tc_fun @t88 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t90 () (tptp.tc_fun @t83 @t89)) % 1.01/1.21 (define @t91 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t22 @t90)) % 1.01/1.21 (define @t92 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t91 @t26) @t20) @t57) @t21))) % 1.01/1.21 (define @t93 () (@list @t54 @t21 @t57 @t20 @t26 @t88 @t83 @t22)) % 1.01/1.21 (define @t94 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t90)) % 1.01/1.21 (define @t95 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t94 @t26) @t20) @t57) @t21))) % 1.01/1.21 (define @t96 () (@var "V_z_2" $$unsorted)) % 1.01/1.21 (define @t97 () (= @t10 @t96)) % 1.01/1.21 (define @t98 () (not @t97)) % 1.01/1.21 (define @t99 () (= @t9 @t96)) % 1.01/1.21 (define @t100 () (not @t99)) % 1.01/1.21 (define @t101 () (@list @t96 @t11 @t9 @t10)) % 1.01/1.21 (define @t102 () (tptp.c_Product__Type_OPair @t22 @t83)) % 1.01/1.21 (define @t103 () (tptp.tc_prod @t22 @t83)) % 1.01/1.21 (define @t104 () (tptp.c_member @t103)) % 1.01/1.21 (define @t105 () (tptp.tc_fun @t103 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t106 () (tptp.tc_fun @t105 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t107 () (tptp.tc_fun @t83 @t106)) % 1.01/1.21 (define @t108 () (tptp.tc_fun @t83 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t109 () (tptp.hAPP (tptp.c_COMBC @t22 @t105 @t108) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t107 (tptp.tc_fun @t105 @t108) @t22) (tptp.c_COMBC @t83 @t105 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t83 @t103) @t107 @t22) (tptp.hAPP (tptp.c_COMBB @t103 @t106 @t83) @t104)) @t102)))) % 1.01/1.21 (define @t110 () (tptp.hAPP @t109 @t40)) % 1.01/1.21 (define @t111 () (tptp.hAPP @t109 @t41)) % 1.01/1.21 (define @t112 () (tptp.hAPP @t20 @t4)) % 1.01/1.21 (define @t113 () (tptp.hAPP @t112 @t57)) % 1.01/1.21 (define @t114 () (tptp.hBOOL (tptp.hAPP @t113 @t21))) % 1.01/1.21 (define @t115 () (tptp.hAPP @t23 @t4)) % 1.01/1.21 (define @t116 () (tptp.hBOOL (tptp.hAPP @t115 @t26))) % 1.01/1.21 (define @t117 () (@list @t21 @t57 @t20 @t26 @t88 @t83 @t22)) % 1.01/1.21 (define @t118 () (forall @t8 (=> @t116 @t114))) % 1.01/1.21 (define @t119 () (tptp.c_Product__Type_OPair @t83 @t22)) % 1.01/1.21 (define @t120 () (tptp.tc_prod @t83 @t22)) % 1.01/1.21 (define @t121 () (tptp.c_member @t120)) % 1.01/1.21 (define @t122 () (tptp.hAPP @t121 (tptp.hAPP (tptp.hAPP @t119 @t57) @t54))) % 1.01/1.21 (define @t123 () (tptp.hBOOL (tptp.hAPP @t122 @t82))) % 1.01/1.21 (define @t124 () (tptp.c_Relation_Oconverse @t83 @t22)) % 1.01/1.21 (define @t125 () (tptp.hAPP @t124 @t82)) % 1.01/1.21 (define @t126 () (tptp.hAPP @t102 @t54)) % 1.01/1.21 (define @t127 () (tptp.hAPP @t126 @t57)) % 1.01/1.21 (define @t128 () (tptp.hAPP @t104 @t127)) % 1.01/1.21 (define @t129 () (tptp.hBOOL (tptp.hAPP @t128 @t125))) % 1.01/1.21 (define @t130 () (@list @t82 @t57 @t54 @t83 @t22)) % 1.01/1.21 (define @t131 () (tptp.hAPP (tptp.c_Relation_Oconverse @t22 @t83) @t82)) % 1.01/1.21 (define @t132 () (tptp.hBOOL (tptp.hAPP @t128 @t82))) % 1.01/1.21 (define @t133 () (tptp.c_COMBC @t83 @t88 @t22)) % 1.01/1.21 (define @t134 () (tptp.hAPP @t133 @t2)) % 1.01/1.21 (define @t135 () (tptp.hAPP @t134 @t10)) % 1.01/1.21 (define @t136 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t83 @t22) @t26)) % 1.01/1.21 (define @t137 () (tptp.tc_fun @t88 @t22)) % 1.01/1.21 (define @t138 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t22)) % 1.01/1.21 (define @t139 () (@list @t10 @t2 @t26 @t88 @t83 @t22)) % 1.01/1.21 (define @t140 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t83 @t22) @t26)) % 1.01/1.21 (define @t141 () (tptp.hAPP @t102 @t10)) % 1.01/1.21 (define @t142 () (tptp.hAPP @t141 @t9)) % 1.01/1.21 (define @t143 () (tptp.hAPP @t104 @t142)) % 1.01/1.21 (define @t144 () (tptp.tc_fun @t83 @t22)) % 1.01/1.21 (define @t145 () (tptp.c_COMBB @t144 @t22 @t88)) % 1.01/1.21 (define @t146 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t22) @t20)) % 1.01/1.21 (define @t147 () (tptp.c_COMBB @t137 @t22 @t83)) % 1.01/1.21 (define @t148 () (@list @t2 @t20 @t88 @t26 @t83 @t22)) % 1.01/1.21 (define @t149 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t88 @t22) @t20)) % 1.01/1.21 (define @t150 () (@var "V_P_2" $$unsorted)) % 1.01/1.21 (define @t151 () (@var "V_y_H_2" $$unsorted)) % 1.01/1.21 (define @t152 () (tptp.c_Product__Type_OPair @t103 @t103)) % 1.01/1.21 (define @t153 () (tptp.c_member (tptp.tc_prod @t103 @t103))) % 1.01/1.21 (define @t154 () (tptp.c_Product__Type_OPair @t83 @t83)) % 1.01/1.21 (define @t155 () (tptp.tc_prod @t83 @t83)) % 1.01/1.21 (define @t156 () (tptp.c_member @t155)) % 1.01/1.21 (define @t157 () (tptp.hBOOL (tptp.hAPP @t150 @t10))) % 1.01/1.21 (define @t158 () (tptp.c_member @t83)) % 1.01/1.21 (define @t159 () (tptp.hAPP @t158 @t54)) % 1.01/1.21 (define @t160 () (tptp.hBOOL (tptp.hAPP @t159 @t26))) % 1.01/1.21 (define @t161 () (tptp.hBOOL (tptp.hAPP @t58 @t85))) % 1.01/1.21 (define @t162 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t83 @t43)) % 1.01/1.21 (define @t163 () (tptp.hAPP @t162 @t26)) % 1.01/1.21 (define @t164 () (tptp.hAPP @t163 @t20)) % 1.01/1.21 (define @t165 () (tptp.hBOOL (tptp.hAPP @t58 @t164))) % 1.01/1.21 (define @t166 () (@list @t54 @t20 @t26 @t83 @t57 @t22)) % 1.01/1.21 (define @t167 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t108)) % 1.01/1.21 (define @t168 () (tptp.hAPP @t167 @t26)) % 1.01/1.21 (define @t169 () (tptp.hAPP @t168 @t20)) % 1.01/1.21 (define @t170 () (tptp.hAPP @t158 @t57)) % 1.01/1.21 (define @t171 () (tptp.hBOOL @t86)) % 1.01/1.21 (define @t172 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t22 @t108)) % 1.01/1.21 (define @t173 () (tptp.hAPP @t172 @t26)) % 1.01/1.21 (define @t174 () (tptp.hAPP @t173 @t20)) % 1.01/1.21 (define @t175 () (tptp.hBOOL (tptp.hAPP @t174 @t57))) % 1.01/1.21 (define @t176 () (@list @t54 @t57 @t20 @t26 @t83 @t22)) % 1.01/1.21 (define @t177 () (tptp.hBOOL (tptp.hAPP @t169 @t57))) % 1.01/1.21 (define @t178 () (tptp.hBOOL (tptp.hAPP @t58 @t112))) % 1.01/1.21 (define @t179 () (tptp.hAPP @t158 @t4)) % 1.01/1.21 (define @t180 () (tptp.hBOOL (tptp.hAPP @t179 @t26))) % 1.01/1.21 (define @t181 () (@list @t20 @t26 @t83 @t57 @t22)) % 1.01/1.21 (define @t182 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t83 @t43)) % 1.01/1.21 (define @t183 () (tptp.hAPP @t182 @t26)) % 1.01/1.21 (define @t184 () (tptp.hAPP @t183 @t20)) % 1.01/1.21 (define @t185 () (tptp.hBOOL (tptp.hAPP @t58 @t184))) % 1.01/1.21 (define @t186 () (tptp.tc_fun @t120 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t187 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t186 @t105 @t88) @t124) @t82)) % 1.01/1.21 (define @t188 () (@list @t82 @t40 @t88 @t22 @t83)) % 1.01/1.21 (define @t189 () (@list @t82 @t22 @t83)) % 1.01/1.21 (define @t190 () (tptp.c_Product__Type_OPair @t22 @t22)) % 1.01/1.21 (define @t191 () (tptp.hAPP @t190 @t4)) % 1.01/1.21 (define @t192 () (tptp.hAPP @t191 @t4)) % 1.01/1.21 (define @t193 () (tptp.tc_prod @t22 @t22)) % 1.01/1.21 (define @t194 () (tptp.c_member @t193)) % 1.01/1.21 (define @t195 () (tptp.hAPP @t194 @t192)) % 1.01/1.21 (define @t196 () (tptp.hBOOL (tptp.hAPP @t195 @t82))) % 1.01/1.21 (define @t197 () (@list @t82 @t22)) % 1.01/1.21 (define @t198 () (@var "V_s_2" $$unsorted)) % 1.01/1.21 (define @t199 () (@var "V_b_H_2" $$unsorted)) % 1.01/1.21 (define @t200 () (@var "V_a_H_2" $$unsorted)) % 1.01/1.21 (define @t201 () (tptp.hAPP @t190 @t54)) % 1.01/1.21 (define @t202 () (@var "B_y" $$unsorted)) % 1.01/1.21 (define @t203 () (tptp.hAPP @t119 @t4)) % 1.01/1.21 (define @t204 () (@var "V_yx_2" $$unsorted)) % 1.01/1.21 (define @t205 () (@list @t4 @t202)) % 1.01/1.21 (define @t206 () (tptp.c_Relation_ORange @t22 @t83 @t82)) % 1.01/1.21 (define @t207 () (tptp.c_Relation_OId__on @t22 @t26)) % 1.01/1.21 (define @t208 () (tptp.hAPP @t194 (tptp.hAPP @t201 @t57))) % 1.01/1.21 (define @t209 () (tptp.hAPP @t190 @t10)) % 1.01/1.21 (define @t210 () (tptp.hAPP @t194 (tptp.hAPP @t209 @t9))) % 1.01/1.21 (define @t211 () (@list @t26 @t9 @t10 @t22)) % 1.01/1.21 (define @t212 () (tptp.c_Relation_ODomain @t22 @t83 @t82)) % 1.01/1.21 (define @t213 () (tptp.hBOOL (tptp.hAPP @t55 @t212))) % 1.01/1.21 (define @t214 () (tptp.hAPP @t109 @t82)) % 1.01/1.21 (define @t215 () (@var "V_C_2" $$unsorted)) % 1.01/1.21 (define @t216 () (tptp.tc_fun @t83 @t43)) % 1.01/1.21 (define @t217 () (tptp.c_COMBB @t108 (tptp.tc_fun @t216 @t43) @t88)) % 1.01/1.21 (define @t218 () (tptp.c_COMBC @t88 @t216 @t43)) % 1.01/1.21 (define @t219 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t88 @t43)) % 1.01/1.21 (define @t220 () (tptp.hAPP @t219 @t26)) % 1.01/1.21 (define @t221 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t88 @t108) @t26) @t20)) % 1.01/1.21 (define @t222 () (@list @t215 @t20 @t26 @t88 @t22 @t83)) % 1.01/1.21 (define @t223 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t43)) % 1.01/1.21 (define @t224 () (tptp.hAPP @t223 @t26)) % 1.01/1.21 (define @t225 () (@var "B_xa" $$unsorted)) % 1.01/1.21 (define @t226 () (tptp.hAPP @t23 @t225)) % 1.01/1.21 (define @t227 () (@list @t225)) % 1.01/1.21 (define @t228 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t83 @t89)) % 1.01/1.21 (define @t229 () (tptp.hAPP (tptp.hAPP @t228 @t26) @t20)) % 1.01/1.21 (define @t230 () (tptp.tc_fun @t88 @t43)) % 1.01/1.21 (define @t231 () (tptp.c_COMBB @t89 (tptp.tc_fun @t230 @t43) @t83)) % 1.01/1.21 (define @t232 () (tptp.c_COMBC @t83 @t230 @t43)) % 1.01/1.21 (define @t233 () (@list @t215 @t20 @t88 @t26 @t22 @t83)) % 1.01/1.21 (define @t234 () (tptp.hBOOL @t113)) % 1.01/1.21 (define @t235 () (forall @t8 (=> @t116 @t234))) % 1.01/1.21 (define @t236 () (@list @t57 @t20 @t26 @t83 @t22)) % 1.01/1.21 (define @t237 () (@list @t26 @t22)) % 1.01/1.21 (define @t238 () (@list @t22)) % 1.01/1.21 (define @t239 () (tptp.c_Predicate_Oconversep @t22 @t83 @t82)) % 1.01/1.21 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t57) @t54))) % 1.01/1.21 (define @t241 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t239 @t54) @t57))) % 1.01/1.21 (define @t242 () (@list @t57 @t54 @t82 @t83 @t22)) % 1.01/1.21 (define @t243 () (@var "V_a2_2" $$unsorted)) % 1.01/1.21 (define @t244 () (@var "V_a1_2" $$unsorted)) % 1.01/1.21 (define @t245 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t54) @t57))) % 1.01/1.21 (define @t246 () (@list @t83 @t22 @t57 @t54 @t82)) % 1.01/1.21 (define @t247 () (tptp.c_Relation_ORange @t83 @t22 @t82)) % 1.01/1.21 (define @t248 () (tptp.c_Relation_ODomain @t22 @t83 @t125)) % 1.01/1.21 (define @t249 () (@list @t82 @t83 @t22)) % 1.01/1.21 (define @t250 () (tptp.c_Relation_Oconverse @t22 @t22)) % 1.01/1.21 (define @t251 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 (tptp.hAPP @t126 @t202)) @t82))) % 1.01/1.21 (define @t252 () (@list @t202)) % 1.01/1.21 (define @t253 () (@list @t82 @t83 @t54 @t22)) % 1.01/1.21 (define @t254 () (tptp.hAPP @t158 @t10)) % 1.01/1.21 (define @t255 () (@list @t10 @t82 @t83 @t22)) % 1.01/1.21 (define @t256 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t121 (tptp.hAPP @t203 @t57)) @t82))) % 1.01/1.21 (define @t257 () (tptp.c_Orderings_Otop__class_Otop @t43)) % 1.01/1.21 (define @t258 () (tptp.tc_prod @t83 @t88)) % 1.01/1.21 (define @t259 () (tptp.tc_fun @t258 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t260 () (tptp.c_Product__Type_OPair @t83 @t88)) % 1.01/1.21 (define @t261 () (tptp.c_member @t258)) % 1.01/1.21 (define @t262 () (tptp.hAPP @t261 (tptp.hAPP (tptp.hAPP @t260 @t10) @t9))) % 1.01/1.21 (define @t263 () (tptp.tc_fun @t259 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t264 () (tptp.tc_fun @t88 @t263)) % 1.01/1.21 (define @t265 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t259 @t90 @t22) (tptp.hAPP (tptp.c_COMBC @t83 @t259 @t89) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t264 (tptp.tc_fun @t259 @t89) @t83) (tptp.c_COMBC @t88 @t259 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t88 @t258) @t264 @t83) (tptp.hAPP (tptp.c_COMBB @t258 @t263 @t88) @t261)) @t260)))) @t82)) % 1.01/1.21 (define @t266 () (@list @t9 @t10 @t82 @t88 @t83 @t22)) % 1.01/1.21 (define @t267 () (@var "B_b" $$unsorted)) % 1.01/1.21 (define @t268 () (@var "B_a" $$unsorted)) % 1.01/1.21 (define @t269 () (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t66 @t268) @t267))) % 1.01/1.21 (define @t270 () (tptp.hBOOL (tptp.hAPP @t269 @t34))) % 1.01/1.21 (define @t271 () (@list @t268 @t267)) % 1.01/1.21 (define @t272 () (tptp.tc_fun @t13 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t273 () (@var "B_i" $$unsorted)) % 1.01/1.21 (define @t274 () (tptp.hBOOL (tptp.hAPP @t269 (tptp.hAPP @t4 @t273)))) % 1.01/1.21 (define @t275 () (@list @t273)) % 1.01/1.21 (define @t276 () (@list @t33)) % 1.01/1.21 (define @t277 () (@list @t10 @t22)) % 1.01/1.21 (define @t278 () (forall @t8 (=> @t180 (= @t112 @t257)))) % 1.01/1.21 (define @t279 () (@list @t20 @t26 @t22 @t83)) % 1.01/1.21 (define @t280 () (@list @t20 @t26 @t83 @t22)) % 1.01/1.21 (define @t281 () (tptp.hAPP @t167 @t257)) % 1.01/1.21 (define @t282 () (tptp.c_COMBB @t108 @t108 @t22)) % 1.01/1.21 (define @t283 () (tptp.hAPP (tptp.hAPP @t282 (tptp.hAPP (tptp.c_COMBC @t83 @t108 tptp.tc_HOL_Obool) @t158)) @t82)) % 1.01/1.21 (define @t284 () (tptp.hAPP @t172 @t257)) % 1.01/1.21 (define @t285 () (not @t52)) % 1.01/1.21 (define @t286 () (tptp.hAPP @t20 @t10)) % 1.01/1.21 (define @t287 () (tptp.hAPP @t158 @t81)) % 1.01/1.21 (define @t288 () (tptp.hBOOL (tptp.hAPP @t287 @t286))) % 1.01/1.21 (define @t289 () (tptp.c_FuncSet_OPi @t22 @t83 @t26 @t20)) % 1.01/1.21 (define @t290 () (tptp.tc_fun @t22 @t83)) % 1.01/1.21 (define @t291 () (tptp.c_member @t290)) % 1.01/1.21 (define @t292 () (tptp.hAPP @t291 @t2)) % 1.01/1.21 (define @t293 () (tptp.hBOOL (tptp.hAPP @t292 @t289))) % 1.01/1.21 (define @t294 () (@list @t10 @t20 @t26 @t2 @t83 @t22)) % 1.01/1.21 (define @t295 () (tptp.c_FuncSet_OPi @t22 @t83 @t26 (tptp.c_COMBK @t108 @t22 @t20))) % 1.01/1.21 (define @t296 () (tptp.hBOOL (tptp.hAPP @t292 @t295))) % 1.01/1.21 (define @t297 () (tptp.c_COMBI @t22)) % 1.01/1.21 (define @t298 () (tptp.tc_fun @t22 @t22)) % 1.01/1.21 (define @t299 () (tptp.tc_fun @t290 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t300 () (tptp.c_Orderings_Otop__class_Otop @t299)) % 1.01/1.21 (define @t301 () (tptp.c_Orderings_Otop__class_Otop @t108)) % 1.01/1.21 (define @t302 () (tptp.c_Orderings_Otop__class_Otop @t22)) % 1.01/1.21 (define @t303 () (tptp.class_Orderings_Otop @t22)) % 1.01/1.21 (define @t304 () (@list @t10 @t83 @t22)) % 1.01/1.21 (define @t305 () (tptp.c_COMBK @t272 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.c_Arrow__Order__Mirabelle_OLin)) % 1.01/1.21 (define @t306 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_HOL_Obool))) % 1.01/1.21 (define @t307 () (tptp.c_FuncSet_OPi tptp.tc_Arrow__Order__Mirabelle_Oindi @t13 @t306 @t305)) % 1.01/1.21 (define @t308 () (tptp.hAPP @t158 @t6)) % 1.01/1.21 (define @t309 () (tptp.hBOOL (tptp.hAPP @t308 @t112))) % 1.01/1.21 (define @t310 () (forall @t8 (=> @t116 @t309))) % 1.01/1.21 (define @t311 () (=> @t310 @t293)) % 1.01/1.21 (define @t312 () (@list @t20 @t2 @t83 @t26 @t22)) % 1.01/1.21 (define @t313 () (forall @t312 @t311)) % 1.01/1.21 (define @t314 () (forall @t8 (=> @t116 (tptp.hBOOL (tptp.hAPP @t308 @t20))))) % 1.01/1.21 (define @t315 () (tptp.hAPP @t291 @t1)) % 1.01/1.21 (define @t316 () (@var "B_w" $$unsorted)) % 1.01/1.21 (define @t317 () (@var "V_h_2" $$unsorted)) % 1.01/1.21 (define @t318 () (@var "T_d" $$unsorted)) % 1.01/1.21 (define @t319 () (tptp.c_FuncSet_Ocompose @t22 @t83 @t88 @t26 @t1 @t2)) % 1.01/1.21 (define @t320 () (@var "V_D_2" $$unsorted)) % 1.01/1.21 (define @t321 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t83 @t88)) @t1) (tptp.c_FuncSet_OPi @t83 @t88 @t20 (tptp.c_COMBK @t89 @t83 @t215))))) % 1.01/1.21 (define @t322 () (tptp.c_FuncSet_Ocompose @t22 @t88 @t83 @t26 @t1 @t2)) % 1.01/1.21 (define @t323 () (tptp.c_FuncSet_Oextensional @t22 @t83 @t26)) % 1.01/1.21 (define @t324 () (tptp.c_Wellfounded_Oacc @t22 @t82)) % 1.01/1.21 (define @t325 () (tptp.hBOOL (tptp.hAPP @t55 @t324))) % 1.01/1.21 (define @t326 () (tptp.hBOOL (tptp.hAPP @t208 @t82))) % 1.01/1.21 (define @t327 () (tptp.hBOOL (tptp.hAPP @t58 @t324))) % 1.01/1.21 (define @t328 () (@list @t82 @t54 @t22)) % 1.01/1.21 (define @t329 () (not (= @t4 @t225))) % 1.01/1.21 (define @t330 () (tptp.c_Relation_Ototal__on @t22 @t26 @t82)) % 1.01/1.21 (define @t331 () (@list @t82 @t26 @t22)) % 1.01/1.21 (define @t332 () (tptp.hAPP @t250 @t82)) % 1.01/1.21 (define @t333 () (tptp.hBOOL (tptp.hAPP @t315 @t323))) % 1.01/1.21 (define @t334 () (tptp.hBOOL (tptp.hAPP @t292 @t323))) % 1.01/1.21 (define @t335 () (@list @t20 @t26 @t2 @t83 @t22)) % 1.01/1.21 (define @t336 () (tptp.hBOOL (tptp.hAPP @t51 @t324))) % 1.01/1.21 (define @t337 () (tptp.tc_fun @t193 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t338 () (tptp.tc_fun @t337 tptp.tc_HOL_Obool)) % 1.01/1.21 (define @t339 () (tptp.tc_fun @t22 @t338)) % 1.01/1.21 (define @t340 () (@list @t10 @t82 @t22)) % 1.01/1.21 (define @t341 () (tptp.hAPP @t190 @t202)) % 1.01/1.21 (define @t342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t341 @t10)) @t82))) % 1.01/1.21 (define @t343 () (tptp.c_Wellfounded_Oacc @t22 @t41)) % 1.01/1.21 (define @t344 () (@var "B_z" $$unsorted)) % 1.01/1.21 (define @t345 () (tptp.hAPP @t190 @t344)) % 1.01/1.21 (define @t346 () (@list @t344)) % 1.01/1.21 (define @t347 () (tptp.c_HOL_Oundefined @t83)) % 1.01/1.21 (define @t348 () (= @t81 @t347)) % 1.01/1.21 (define @t349 () (tptp.c_Wellfounded_Oaccp @t22 @t82 @t54)) % 1.01/1.21 (define @t350 () (tptp.hAPP @t82 @t4)) % 1.01/1.21 (define @t351 () (tptp.c_FuncSet_Orestrict @t22 @t83 @t2 @t26)) % 1.01/1.21 (define @t352 () (tptp.hAPP @t351 @t10)) % 1.01/1.21 (define @t353 () (@list @t26 @t2 @t83 @t22)) % 1.01/1.21 (define @t354 () (tptp.hAPP @t291 @t351)) % 1.01/1.21 (define @t355 () (tptp.c_Recdef_Ocut @t22 @t83)) % 1.01/1.21 (define @t356 () (tptp.hAPP (tptp.hAPP @t355 @t2) @t82)) % 1.01/1.21 (define @t357 () (tptp.hAPP @t356 @t10)) % 1.01/1.21 (define @t358 () (tptp.hAPP @t357 @t9)) % 1.01/1.21 (define @t359 () (tptp.hAPP @t190 @t9)) % 1.01/1.21 (define @t360 () (tptp.hAPP @t359 @t10)) % 1.01/1.21 (define @t361 () (tptp.hAPP @t194 @t360)) % 1.01/1.21 (define @t362 () (tptp.hBOOL (tptp.hAPP @t361 @t82))) % 1.01/1.21 (define @t363 () (tptp.hBOOL (tptp.hAPP @t51 @t40))) % 1.01/1.21 (define @t364 () (not @t363)) % 1.01/1.21 (define @t365 () (@var "V_T_2" $$unsorted)) % 1.01/1.21 (define @t366 () (tptp.c_FuncSet_Oextensional__funcset @t22 @t83 @t40 @t365)) % 1.01/1.21 (define @t367 () (tptp.hBOOL (tptp.hAPP @t292 @t366))) % 1.01/1.21 (define @t368 () (@list @t10 @t365 @t40 @t2 @t83 @t22)) % 1.01/1.21 (define @t369 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t82)) % 1.01/1.21 (define @t370 () (tptp.hAPP @t190 @t57)) % 1.01/1.21 (define @t371 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t370 @t54)) @t369))) % 1.01/1.21 (define @t372 () (@var "B_f" $$unsorted)) % 1.01/1.21 (define @t373 () (@var "B_R" $$unsorted)) % 1.01/1.21 (define @t374 () (tptp.hAPP @t194 (tptp.hAPP @t209 @t54))) % 1.01/1.21 (define @t375 () (tptp.hAPP @t194 (tptp.hAPP @t201 @t54))) % 1.01/1.21 (define @t376 () (@var "V_p_2" $$unsorted)) % 1.01/1.21 (define @t377 () (tptp.hAPP @t194 @t376)) % 1.01/1.21 (define @t378 () (tptp.hBOOL (tptp.hAPP @t377 @t82))) % 1.01/1.21 (define @t379 () (@list @t82 @t376 @t22)) % 1.01/1.21 (define @t380 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t41)) % 1.01/1.21 (define @t381 () (tptp.hBOOL (tptp.hAPP @t210 @t380))) % 1.01/1.21 (define @t382 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t332)) % 1.01/1.21 (define @t383 () (tptp.hBOOL (tptp.hAPP @t210 @t382))) % 1.01/1.21 (define @t384 () (tptp.hBOOL (tptp.hAPP @t361 @t369))) % 1.01/1.21 (define @t385 () (@list @t82 @t10 @t9 @t22)) % 1.01/1.21 (define @t386 () (@list @t82 @t9 @t10 @t22)) % 1.01/1.21 (define @t387 () (@list @t41 @t22)) % 1.01/1.21 (define @t388 () (tptp.hAPP @t194 (tptp.hAPP @t201 @t21))) % 1.01/1.21 (define @t389 () (tptp.hBOOL (tptp.hAPP @t388 @t369))) % 1.01/1.21 (define @t390 () (tptp.hAPP @t194 (tptp.hAPP @t370 @t21))) % 1.01/1.21 (define @t391 () (tptp.hBOOL (tptp.hAPP @t390 @t369))) % 1.01/1.21 (define @t392 () (=> @t391 @t389)) % 1.01/1.21 (define @t393 () (tptp.hBOOL (tptp.hAPP @t208 @t369))) % 1.01/1.21 (define @t394 () (@list @t21 @t82 @t57 @t54 @t22)) % 1.01/1.21 (define @t395 () (tptp.hBOOL (tptp.hAPP @t390 @t82))) % 1.01/1.21 (define @t396 () (tptp.tc_fun @t22 @t290)) % 1.01/1.21 (define @t397 () (@list @t33 @t41 @t83 @t22)) % 1.01/1.21 (define @t398 () (tptp.hAPP @t194 (tptp.hAPP @t359 @t96))) % 1.01/1.21 (define @t399 () (tptp.hAPP @t194 (tptp.hAPP @t209 @t96))) % 1.01/1.21 (define @t400 () (tptp.hBOOL (tptp.hAPP @t399 @t369))) % 1.01/1.21 (define @t401 () (tptp.hBOOL (tptp.hAPP @t210 @t369))) % 1.01/1.21 (define @t402 () (@var "V_by_2" $$unsorted)) % 1.01/1.21 (define @t403 () (@var "V_bx_2" $$unsorted)) % 1.01/1.21 (define @t404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t403) @t402))) % 1.01/1.21 (define @t405 () (@var "B_ba" $$unsorted)) % 1.01/1.21 (define @t406 () (@var "B_aa" $$unsorted)) % 1.01/1.21 (define @t407 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t406) @t405))) % 1.01/1.21 (define @t408 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t268) @t267))) % 1.01/1.21 (define @t409 () (tptp.hAPP (tptp.hAPP @t102 @t406) @t405)) % 1.01/1.21 (define @t410 () (tptp.hAPP (tptp.hAPP @t102 @t268) @t267)) % 1.01/1.21 (define @t411 () (tptp.hAPP @t152 @t410)) % 1.01/1.21 (define @t412 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP @t411 @t409)) @t82))) % 1.01/1.21 (define @t413 () (tptp.c_Transitive__Closure_Ortrancl @t103 @t82)) % 1.01/1.21 (define @t414 () (@var "V_ay_2" $$unsorted)) % 1.01/1.21 (define @t415 () (@var "V_ax_2" $$unsorted)) % 1.01/1.21 (define @t416 () (tptp.hAPP @t152 (tptp.hAPP (tptp.hAPP @t102 @t415) @t414))) % 1.01/1.21 (define @t417 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t415) @t414))) % 1.01/1.21 (define @t418 () (tptp.hAPP (tptp.hAPP @t102 @t403) @t402)) % 1.01/1.21 (define @t419 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP @t416 @t418)) @t413))) % 1.01/1.21 (define @t420 () (@list @t150 @t82 @t402 @t403 @t414 @t415 @t83 @t22)) % 1.01/1.21 (define @t421 () (@var "V_zb_2" $$unsorted)) % 1.01/1.21 (define @t422 () (@var "V_za_2" $$unsorted)) % 1.01/1.21 (define @t423 () (tptp.hAPP (tptp.hAPP @t102 @t422) @t421)) % 1.01/1.21 (define @t424 () (@var "V_xb_2" $$unsorted)) % 1.01/1.21 (define @t425 () (@var "V_xa_2" $$unsorted)) % 1.01/1.21 (define @t426 () (tptp.hAPP (tptp.hAPP @t102 @t425) @t424)) % 1.01/1.21 (define @t427 () (tptp.hAPP @t152 @t426)) % 1.01/1.21 (define @t428 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t43)) % 1.01/1.21 (define @t429 () (tptp.hAPP @t428 @t26)) % 1.01/1.21 (define @t430 () (tptp.hAPP @t429 @t20)) % 1.01/1.21 (define @t431 () (tptp.hBOOL (tptp.hAPP @t430 @t10))) % 1.01/1.21 (define @t432 () (tptp.hBOOL @t286)) % 1.01/1.21 (define @t433 () (@list @t10 @t20 @t26 @t22)) % 1.01/1.21 (define @t434 () (tptp.hBOOL (tptp.hAPP @t24 @t430))) % 1.01/1.21 (define @t435 () (@list @t20 @t26 @t21 @t22)) % 1.01/1.21 (define @t436 () (tptp.hAPP @t428 @t20)) % 1.01/1.21 (define @t437 () (@list @t20 @t26 @t22)) % 1.01/1.21 (define @t438 () (tptp.hAPP @t429 @t215)) % 1.01/1.21 (define @t439 () (tptp.hAPP @t436 @t215)) % 1.01/1.21 (define @t440 () (tptp.hAPP @t429 @t439)) % 1.01/1.21 (define @t441 () (@list @t215 @t20 @t26 @t22)) % 1.01/1.21 (define @t442 () (@list @t20 @t22)) % 1.01/1.21 (define @t443 () (tptp.hAPP @t182 @t215)) % 1.01/1.21 (define @t444 () (tptp.hAPP @t429 (tptp.hAPP @t443 @t20))) % 1.01/1.21 (define @t445 () (tptp.c_COMBB @t43 @t43 @t83)) % 1.01/1.21 (define @t446 () (tptp.hAPP @t443 (tptp.hAPP (tptp.hAPP @t445 @t429) @t20))) % 1.01/1.21 (define @t447 () (@list @t20 @t26 @t215 @t22 @t83)) % 1.01/1.21 (define @t448 () (tptp.hAPP @t443 @t26)) % 1.01/1.21 (define @t449 () (tptp.hAPP (tptp.hAPP @t428 @t448) @t20)) % 1.01/1.21 (define @t450 () (tptp.tc_fun @t43 @t43)) % 1.01/1.21 (define @t451 () (tptp.c_COMBB @t43 @t450 @t83)) % 1.01/1.21 (define @t452 () (tptp.hAPP (tptp.hAPP @t451 @t428) @t26)) % 1.01/1.21 (define @t453 () (tptp.c_COMBC @t83 @t43 @t43)) % 1.01/1.21 (define @t454 () (tptp.hAPP @t443 (tptp.hAPP (tptp.hAPP @t453 @t452) @t20))) % 1.01/1.21 (define @t455 () (@list @t20 @t215 @t83 @t26 @t22)) % 1.01/1.21 (define @t456 () (@var "V_I_2" $$unsorted)) % 1.01/1.21 (define @t457 () (tptp.hAPP @t182 @t456)) % 1.01/1.21 (define @t458 () (tptp.hAPP @t457 @t26)) % 1.01/1.21 (define @t459 () (@list @t26 @t456 @t83 @t20 @t22)) % 1.01/1.21 (define @t460 () (@list @t20 @t26 @t215 @t83 @t22)) % 1.01/1.21 (define @t461 () (@var "V_J_2" $$unsorted)) % 1.01/1.21 (define @t462 () (tptp.hAPP @t219 @t461)) % 1.01/1.21 (define @t463 () (tptp.hAPP @t162 @t456)) % 1.01/1.21 (define @t464 () (tptp.hAPP @t463 @t26)) % 1.01/1.21 (define @t465 () (tptp.hAPP (tptp.hAPP @t172 @t456) @t26)) % 1.01/1.21 (define @t466 () (@var "V_k_2" $$unsorted)) % 1.01/1.21 (define @t467 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t108)) % 1.01/1.21 (define @t468 () (tptp.hAPP @t102 @t4)) % 1.01/1.21 (define @t469 () (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 (tptp.hAPP @t468 @t202)) @t82)) (forall @t346 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 (tptp.hAPP @t468 @t344)) @t82)) (= @t202 @t344)))))) % 1.01/1.21 (define @t470 () (tptp.c_Relation_Osingle__valued @t22 @t83 @t82)) % 1.01/1.21 (define @t471 () (tptp.hAPP @t1 @t10)) % 1.01/1.21 (define @t472 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t22)) % 1.01/1.21 (define @t473 () (tptp.class_Lattices_Olattice @t22)) % 1.01/1.21 (define @t474 () (@var "V_x" $$unsorted)) % 1.01/1.21 (define @t475 () (tptp.class_Lattices_Obounded__lattice__top @t22)) % 1.01/1.21 (define @t476 () (@list @t474 @t22)) % 1.01/1.21 (define @t477 () (tptp.hAPP @t472 @t474)) % 1.01/1.21 (define @t478 () (tptp.hAPP (tptp.hAPP @t472 @t10) @t9)) % 1.01/1.21 (define @t479 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t105)) % 1.01/1.21 (define @t480 () (tptp.tc_fun @t22 @t108)) % 1.01/1.21 (define @t481 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t480)) % 1.01/1.21 (define @t482 () (@list @t198 @t82 @t22 @t83)) % 1.01/1.21 (define @t483 () (@var "V_a" $$unsorted)) % 1.01/1.21 (define @t484 () (tptp.hAPP @t472 @t483)) % 1.01/1.21 (define @t485 () (tptp.class_Lattices_Osemilattice__inf @t22)) % 1.01/1.21 (define @t486 () (@var "V_b" $$unsorted)) % 1.01/1.21 (define @t487 () (tptp.hAPP @t472 @t486)) % 1.01/1.21 (define @t488 () (tptp.hAPP @t484 @t486)) % 1.01/1.21 (define @t489 () (@list @t486 @t483 @t22)) % 1.01/1.21 (define @t490 () (@var "V_y" $$unsorted)) % 1.01/1.21 (define @t491 () (tptp.hAPP @t472 @t490)) % 1.01/1.21 (define @t492 () (tptp.hAPP @t477 @t490)) % 1.01/1.21 (define @t493 () (= @t492 (tptp.hAPP @t491 @t474))) % 1.01/1.21 (define @t494 () (@list @t490 @t474 @t22)) % 1.01/1.21 (define @t495 () (= (tptp.hAPP @t477 @t492) @t492)) % 1.01/1.21 (define @t496 () (@var "V_c" $$unsorted)) % 1.01/1.21 (define @t497 () (tptp.hAPP @t484 (tptp.hAPP @t487 @t496))) % 1.01/1.21 (define @t498 () (@list @t496 @t483 @t486 @t22)) % 1.01/1.21 (define @t499 () (@var "V_z" $$unsorted)) % 1.01/1.21 (define @t500 () (tptp.hAPP @t491 @t499)) % 1.01/1.21 (define @t501 () (tptp.hAPP @t477 @t500)) % 1.01/1.21 (define @t502 () (= @t501 (tptp.hAPP @t491 (tptp.hAPP @t477 @t499)))) % 1.01/1.21 (define @t503 () (@list @t499 @t490 @t474 @t22)) % 1.01/1.21 (define @t504 () (@list @t496 @t486 @t483 @t22)) % 1.01/1.21 (define @t505 () (= (tptp.hAPP (tptp.hAPP @t472 @t492) @t499) @t501)) % 1.01/1.21 (define @t506 () (@var "B_g" $$unsorted)) % 1.01/1.21 (define @t507 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t201 @t202)) @t369))) % 1.01/1.21 (define @t508 () (@list @t82 @t57 @t54 @t22)) % 1.01/1.21 (define @t509 () (tptp.hBOOL (tptp.hAPP @t150 @t54))) % 1.01/1.21 (define @t510 () (tptp.hBOOL (tptp.hAPP @t150 @t202))) % 1.01/1.21 (define @t511 () (tptp.hBOOL (tptp.hAPP @t150 @t344))) % 1.01/1.21 (define @t512 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t341 @t344)) @t82))) % 1.01/1.21 (define @t513 () (tptp.hBOOL (tptp.hAPP @t150 @t57))) % 1.01/1.21 (define @t514 () (@list @t150 @t82 @t57 @t54 @t22)) % 1.01/1.21 (define @t515 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t481 @t26) @t20) @t10) @t9))) % 1.01/1.21 (define @t516 () (tptp.hBOOL (tptp.hAPP @t286 @t9))) % 1.01/1.21 (define @t517 () (tptp.hBOOL (tptp.hAPP @t49 @t9))) % 1.01/1.21 (define @t518 () (@list @t9 @t10 @t20 @t26 @t83 @t22)) % 1.01/1.21 (define @t519 () (tptp.hAPP @t172 @t215)) % 1.01/1.21 (define @t520 () (tptp.hAPP @t467 @t26)) % 1.01/1.21 (define @t521 () (tptp.hAPP @t520 (tptp.hAPP @t519 @t20))) % 1.01/1.21 (define @t522 () (tptp.hAPP @t519 (tptp.hAPP (tptp.hAPP @t282 @t520) @t20))) % 1.01/1.21 (define @t523 () (tptp.c_Orderings_Obot__class_Obot @t43)) % 1.01/1.21 (define @t524 () (= @t215 @t523)) % 1.01/1.21 (define @t525 () (not @t524)) % 1.01/1.21 (define @t526 () (@list @t20 @t26 @t83 @t22 @t215)) % 1.01/1.21 (define @t527 () (tptp.hAPP @t519 @t26)) % 1.01/1.21 (define @t528 () (tptp.hAPP (tptp.hAPP @t467 @t527) @t20)) % 1.01/1.21 (define @t529 () (tptp.c_COMBB @t108 (tptp.tc_fun @t108 @t108) @t22)) % 1.01/1.21 (define @t530 () (tptp.c_COMBC @t22 @t108 @t108)) % 1.01/1.21 (define @t531 () (tptp.hAPP @t519 (tptp.hAPP (tptp.hAPP @t530 (tptp.hAPP (tptp.hAPP @t529 @t467) @t26)) @t20))) % 1.01/1.21 (define @t532 () (tptp.c_Relation_Orefl__on @t22 @t26 @t82)) % 1.01/1.21 (define @t533 () (@list @t54 @t82 @t26 @t22)) % 1.01/1.21 (define @t534 () (= @t430 @t523)) % 1.01/1.21 (define @t535 () (tptp.c_Orderings_Obot__class_Obot @t299)) % 1.01/1.21 (define @t536 () (tptp.c_Orderings_Obot__class_Obot @t108)) % 1.01/1.21 (define @t537 () (tptp.c_Orderings_Obot__class_Obot @t22)) % 1.01/1.21 (define @t538 () (tptp.class_Orderings_Obot @t22)) % 1.01/1.21 (define @t539 () (tptp.c_Orderings_Obot__class_Obot @t337)) % 1.01/1.21 (define @t540 () (tptp.c_Orderings_Obot__class_Obot @t186)) % 1.01/1.21 (define @t541 () (tptp.c_Orderings_Obot__class_Obot @t105)) % 1.01/1.21 (define @t542 () (@list @t83 @t22)) % 1.01/1.21 (define @t543 () (= @t26 @t523)) % 1.01/1.21 (define @t544 () (not @t116)) % 1.01/1.21 (define @t545 () (not @t543)) % 1.01/1.21 (define @t546 () (@var "V_M_2" $$unsorted)) % 1.01/1.21 (define @t547 () (tptp.c_COMBK @t83 @t22 @t546)) % 1.01/1.21 (define @t548 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t83)) % 1.01/1.21 (define @t549 () (tptp.hAPP @t548 @t26)) % 1.01/1.21 (define @t550 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t83)) % 1.01/1.21 (define @t551 () (@list @t546 @t22 @t26 @t83)) % 1.01/1.21 (define @t552 () (forall @t8 (=> @t180 (= @t112 @t523)))) % 1.01/1.21 (define @t553 () (tptp.c_COMBK @t108 @t22 @t21)) % 1.01/1.21 (define @t554 () (tptp.hAPP @t168 @t553)) % 1.01/1.21 (define @t555 () (@list @t21 @t83 @t22 @t26)) % 1.01/1.21 (define @t556 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t22 @t83)) % 1.01/1.21 (define @t557 () (tptp.hAPP @t556 @t26)) % 1.01/1.21 (define @t558 () (tptp.class_Lattices_Obounded__lattice__bot @t22)) % 1.01/1.21 (define @t559 () (tptp.hAPP @t173 @t553)) % 1.01/1.21 (define @t560 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t337)) % 1.01/1.21 (define @t561 () (tptp.hBOOL (tptp.hAPP @t210 @t82))) % 1.01/1.21 (define @t562 () (@list @t9 @t10 @t82 @t26 @t22)) % 1.01/1.21 (define @t563 () (tptp.c_Transitive__Closure_Otrancl @t22 @t82)) % 1.01/1.21 (define @t564 () (tptp.c_Relation_OImage @t83 @t22 @t82)) % 1.01/1.21 (define @t565 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t108 @t43 @t88) @t564) @t20)) % 1.01/1.21 (define @t566 () (tptp.hAPP @t224 @t565)) % 1.01/1.21 (define @t567 () (tptp.hAPP @t564 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t108) @t26) @t20))) % 1.01/1.21 (define @t568 () (tptp.hAPP @t26 @t4)) % 1.01/1.21 (define @t569 () (tptp.hBOOL (tptp.hAPP @t115 @t40))) % 1.01/1.21 (define @t570 () (tptp.hAPP @t167 @t215)) % 1.01/1.21 (define @t571 () (tptp.hAPP @t570 @t20)) % 1.01/1.21 (define @t572 () (tptp.c_Groups_Ominus__class_Ominus @t108)) % 1.01/1.21 (define @t573 () (tptp.hAPP @t572 @t26)) % 1.01/1.21 (define @t574 () (tptp.hAPP @t573 @t571)) % 1.01/1.21 (define @t575 () (tptp.hAPP @t519 (tptp.hAPP (tptp.hAPP @t282 @t573) @t20))) % 1.01/1.21 (define @t576 () (=> @t27 @t25)) % 1.01/1.21 (define @t577 () (tptp.c_Groups_Ominus__class_Ominus @t43)) % 1.01/1.21 (define @t578 () (tptp.hAPP @t577 @t26)) % 1.01/1.21 (define @t579 () (tptp.hAPP @t578 @t20)) % 1.01/1.21 (define @t580 () (tptp.hBOOL (tptp.hAPP @t24 @t579))) % 1.01/1.21 (define @t581 () (tptp.hBOOL (tptp.hAPP @t208 @t563))) % 1.01/1.21 (define @t582 () (tptp.c_Relation_OImage @t83 @t22 @t41)) % 1.01/1.21 (define @t583 () (tptp.c_Transitive__Closure_Otrancl @t22 @t41)) % 1.01/1.21 (define @t584 () (tptp.hAPP @t250 @t563)) % 1.01/1.21 (define @t585 () (tptp.c_Transitive__Closure_Otrancl @t22 @t332)) % 1.01/1.21 (define @t586 () (tptp.hAPP @t577 @t579)) % 1.01/1.21 (define @t587 () (tptp.hAPP @t428 @t215)) % 1.01/1.21 (define @t588 () (@list @t20 @t26 @t215 @t22)) % 1.01/1.21 (define @t589 () (tptp.hAPP @t577 @t20)) % 1.01/1.21 (define @t590 () (tptp.hAPP @t577 @t438)) % 1.01/1.21 (define @t591 () (tptp.hAPP @t590 @t439)) % 1.01/1.21 (define @t592 () (tptp.hAPP (tptp.hAPP @t577 @t448) @t20)) % 1.01/1.21 (define @t593 () (tptp.hAPP @t443 (tptp.hAPP (tptp.hAPP @t453 (tptp.hAPP (tptp.hAPP @t451 @t577) @t26)) @t20))) % 1.01/1.21 (define @t594 () (tptp.hBOOL (tptp.hAPP @t388 @t563))) % 1.01/1.21 (define @t595 () (=> (tptp.hBOOL (tptp.hAPP @t390 @t563)) @t594)) % 1.01/1.21 (define @t596 () (=> @t395 @t594)) % 1.01/1.21 (define @t597 () (tptp.hAPP @t162 @t215)) % 1.01/1.21 (define @t598 () (tptp.hAPP @t597 @t20)) % 1.01/1.21 (define @t599 () (tptp.hAPP @t578 @t598)) % 1.01/1.21 (define @t600 () (tptp.hAPP @t443 (tptp.hAPP (tptp.hAPP @t445 @t578) @t20))) % 1.01/1.21 (define @t601 () (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t564 @t26)))) % 1.01/1.21 (define @t602 () (@list @t26 @t82 @t83 @t57 @t22)) % 1.01/1.21 (define @t603 () (tptp.hAPP (tptp.c_Relation_OImage @t22 @t83 @t82) @t26)) % 1.01/1.21 (define @t604 () (tptp.hBOOL (tptp.hAPP @t210 @t583))) % 1.01/1.21 (define @t605 () (@list @t41 @t9 @t10 @t22)) % 1.01/1.21 (define @t606 () (=> @t391 @t594)) % 1.01/1.21 (define @t607 () (tptp.hBOOL (tptp.hAPP @t210 @t585))) % 1.01/1.21 (define @t608 () (tptp.hBOOL (tptp.hAPP @t210 @t584))) % 1.01/1.21 (define @t609 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t480) @t10) @t9))) % 1.01/1.21 (define @t610 () (@list @t9 @t10 @t83 @t22)) % 1.01/1.21 (define @t611 () (tptp.hAPP @t519 (tptp.hAPP (tptp.hAPP @t530 (tptp.hAPP (tptp.hAPP @t529 @t572) @t26)) @t20))) % 1.01/1.21 (define @t612 () (tptp.hAPP (tptp.hAPP @t572 @t527) @t20)) % 1.01/1.21 (define @t613 () (tptp.hAPP @t194 (tptp.hAPP @t345 @t9))) % 1.01/1.21 (define @t614 () (tptp.hAPP @t194 (tptp.hAPP @t209 @t344))) % 1.01/1.21 (define @t615 () (tptp.hAPP (tptp.hAPP @t119 @t54) @t57)) % 1.01/1.21 (define @t616 () (tptp.c_Set_Oinsert @t83)) % 1.01/1.21 (define @t617 () (tptp.hAPP @t616 @t54)) % 1.01/1.21 (define @t618 () (tptp.hAPP @t617 @t536)) % 1.01/1.21 (define @t619 () (tptp.c_Set_Oinsert @t193)) % 1.01/1.21 (define @t620 () (tptp.c_Wellfounded_Oacyclic @t22 @t82)) % 1.01/1.21 (define @t621 () (tptp.c_Set_Oinsert @t22)) % 1.01/1.21 (define @t622 () (tptp.hAPP @t621 @t57)) % 1.01/1.21 (define @t623 () (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t622 @t20)))) % 1.01/1.21 (define @t624 () (tptp.hBOOL (tptp.hAPP @t55 @t20))) % 1.01/1.21 (define @t625 () (@list @t57 @t20 @t54 @t22)) % 1.01/1.21 (define @t626 () (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t622 @t26)))) % 1.01/1.21 (define @t627 () (@list @t26 @t57 @t54 @t22)) % 1.01/1.21 (define @t628 () (tptp.hAPP @t622 @t523)) % 1.01/1.21 (define @t629 () (tptp.hAPP @t621 @t54)) % 1.01/1.21 (define @t630 () (tptp.hAPP @t629 @t523)) % 1.01/1.21 (define @t631 () (@var "V_d_2" $$unsorted)) % 1.01/1.21 (define @t632 () (= @t54 @t21)) % 1.01/1.21 (define @t633 () (tptp.hAPP @t629 @t26)) % 1.01/1.21 (define @t634 () (@list @t26 @t54 @t22)) % 1.01/1.21 (define @t635 () (= @t57 @t54)) % 1.01/1.21 (define @t636 () (tptp.hBOOL (tptp.hAPP @t58 @t630))) % 1.01/1.21 (define @t637 () (@list @t54 @t57 @t22)) % 1.01/1.21 (define @t638 () (tptp.hAPP @t629 @t20)) % 1.01/1.21 (define @t639 () (tptp.hAPP @t429 @t638)) % 1.01/1.21 (define @t640 () (=> @t84 (= @t639 @t430))) % 1.01/1.21 (define @t641 () (tptp.hAPP @t629 @t430)) % 1.01/1.21 (define @t642 () (=> @t56 (= @t639 @t641))) % 1.01/1.21 (define @t643 () (@list @t20 @t26 @t54 @t22)) % 1.01/1.21 (define @t644 () (tptp.hAPP (tptp.hAPP @t428 @t638) @t215)) % 1.01/1.21 (define @t645 () (tptp.hBOOL (tptp.hAPP @t55 @t215))) % 1.01/1.21 (define @t646 () (=> (not @t645) (= @t644 @t439))) % 1.01/1.21 (define @t647 () (=> @t645 (= @t644 (tptp.hAPP @t629 @t439)))) % 1.01/1.21 (define @t648 () (@list @t20 @t215 @t54 @t22)) % 1.01/1.21 (define @t649 () (tptp.hAPP @t621 @t10)) % 1.01/1.21 (define @t650 () (tptp.hAPP @t649 @t26)) % 1.01/1.21 (define @t651 () (tptp.hAPP @t577 @t650)) % 1.01/1.21 (define @t652 () (tptp.hAPP @t651 @t20)) % 1.01/1.21 (define @t653 () (not @t64)) % 1.01/1.21 (define @t654 () (=> @t64 (= @t652 @t579))) % 1.01/1.21 (define @t655 () (@list @t26 @t20 @t10 @t22)) % 1.01/1.21 (define @t656 () (@list @t20 @t26 @t10 @t22)) % 1.01/1.21 (define @t657 () (tptp.hAPP @t621 @t9)) % 1.01/1.21 (define @t658 () (tptp.hAPP @t657 @t26)) % 1.01/1.21 (define @t659 () (tptp.hAPP @t597 (tptp.hAPP (tptp.hAPP @t445 @t629) @t20))) % 1.01/1.21 (define @t660 () (tptp.hAPP @t629 @t598)) % 1.01/1.21 (define @t661 () (tptp.hAPP @t578 @t630)) % 1.01/1.21 (define @t662 () (tptp.hAPP @t629 @t661)) % 1.01/1.21 (define @t663 () (tptp.hAPP @t578 @t638)) % 1.01/1.21 (define @t664 () (@list @t20 @t54 @t26 @t22)) % 1.01/1.21 (define @t665 () (tptp.hAPP (tptp.hAPP @t282 @t617) @t20)) % 1.01/1.21 (define @t666 () (@var "V_u_2" $$unsorted)) % 1.01/1.21 (define @t667 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t666) @t26))) % 1.01/1.21 (define @t668 () (@list @t20 @t54 @t83 @t26 @t666 @t22)) % 1.01/1.21 (define @t669 () (tptp.hAPP @t617 @t571)) % 1.01/1.21 (define @t670 () (tptp.hAPP @t570 @t665)) % 1.01/1.21 (define @t671 () (@list @t20 @t54 @t83 @t22 @t215)) % 1.01/1.21 (define @t672 () (tptp.hAPP @t649 @t523)) % 1.01/1.21 (define @t673 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t290) (tptp.c_COMBK @t83 @t22 @t347)) @t535)) % 1.01/1.21 (define @t674 () (tptp.c_FuncSet_Oextensional__funcset @t83 @t22 (tptp.hAPP (tptp.hAPP @t616 @t10) @t40) @t365)) % 1.01/1.21 (define @t675 () (tptp.c_member @t144)) % 1.01/1.21 (define @t676 () (tptp.hAPP @t675 @t2)) % 1.01/1.21 (define @t677 () (tptp.c_Fun_Ofun__upd @t83 @t22 @t2 @t10 @t9)) % 1.01/1.21 (define @t678 () (tptp.hAPP @t291 (tptp.c_Fun_Ofun__upd @t22 @t83 @t2 @t10 @t347))) % 1.01/1.21 (define @t679 () (tptp.hBOOL (tptp.hAPP @t292 (tptp.c_FuncSet_Oextensional__funcset @t22 @t83 (tptp.hAPP @t649 @t40) @t365)))) % 1.01/1.21 (define @t680 () (= @t81 @t9)) % 1.01/1.21 (define @t681 () (tptp.hAPP @t2 @t96)) % 1.01/1.21 (define @t682 () (tptp.c_Fun_Ofun__upd @t22 @t83 @t2 @t10 @t9)) % 1.01/1.21 (define @t683 () (tptp.hAPP @t682 @t96)) % 1.01/1.21 (define @t684 () (= @t96 @t10)) % 1.01/1.21 (define @t685 () (=> (not @t684) (= @t683 @t681))) % 1.01/1.21 (define @t686 () (@list @t9 @t2 @t83 @t22 @t10 @t96)) % 1.01/1.21 (define @t687 () (@var "V_m_2" $$unsorted)) % 1.01/1.21 (define @t688 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t22 @t83 @t2 @t54 @t57) @t10)) % 1.01/1.21 (define @t689 () (@var "V_a4_2" $$unsorted)) % 1.01/1.21 (define @t690 () (@var "V_a3_2" $$unsorted)) % 1.01/1.21 (define @t691 () (@var "V_a5_2" $$unsorted)) % 1.01/1.21 (define @t692 () (tptp.hAPP (tptp.hAPP @t690 @t244) @t691)) % 1.01/1.21 (define @t693 () (tptp.c_Relation_OImage @t22 @t22 @t82)) % 1.01/1.21 (define @t694 () (tptp.hAPP @t693 @t628)) % 1.01/1.21 (define @t695 () (tptp.hAPP @t693 @t630)) % 1.01/1.21 (define @t696 () (tptp.c_Equiv__Relations_Oequiv @t22 @t26 @t82)) % 1.01/1.21 (define @t697 () (= @t695 @t694)) % 1.01/1.21 (define @t698 () (tptp.hAPP @t657 @t523)) % 1.01/1.21 (define @t699 () (= (tptp.hAPP @t693 @t672) (tptp.hAPP @t693 @t698))) % 1.01/1.21 (define @t700 () (=> @t59 @t326)) % 1.01/1.21 (define @t701 () (@var "V_r2_2" $$unsorted)) % 1.01/1.21 (define @t702 () (tptp.c_Relation_OImage @t83 @t83 @t701)) % 1.01/1.21 (define @t703 () (tptp.c_COMBB @t90 @t89 @t22)) % 1.01/1.21 (define @t704 () (@var "V_r1_2" $$unsorted)) % 1.01/1.21 (define @t705 () (@var "V_A2_2" $$unsorted)) % 1.01/1.21 (define @t706 () (@var "V_A1_2" $$unsorted)) % 1.01/1.21 (define @t707 () (tptp.c_Equiv__Relations_Ocongruent2 @t22 @t83 @t89 @t704 @t701 @t2)) % 1.01/1.21 (define @t708 () (tptp.c_Equiv__Relations_Oequiv @t83 @t705 @t701)) % 1.01/1.21 (define @t709 () (tptp.c_Equiv__Relations_Oequiv @t22 @t706 @t704)) % 1.01/1.21 (define @t710 () (tptp.hAPP @t2 @t54)) % 1.01/1.21 (define @t711 () (tptp.c_Equiv__Relations_Ocongruent2 @t22 @t83 @t88 @t704 @t701 @t2)) % 1.01/1.21 (define @t712 () (@var "V_z2_2" $$unsorted)) % 1.01/1.21 (define @t713 () (@var "V_z1_2" $$unsorted)) % 1.01/1.21 (define @t714 () (@var "V_y2_2" $$unsorted)) % 1.01/1.21 (define @t715 () (@var "V_y1_2" $$unsorted)) % 1.01/1.21 (define @t716 () (tptp.class_Orderings_Opreorder @t22)) % 1.01/1.21 (define @t717 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t20 @t26)) % 1.01/1.21 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t26 @t20)) % 1.01/1.21 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t82 @t198)) % 1.01/1.21 (define @t720 () (@var "V_A_H_2" $$unsorted)) % 1.01/1.21 (define @t721 () (@var "V_r_H_2" $$unsorted)) % 1.01/1.21 (define @t722 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t720 @t26)) % 1.01/1.21 (define @t723 () (tptp.c_Orderings_Oord__class_Oless__eq @t105 @t82 @t198)) % 1.01/1.21 (define @t724 () (@list @t198 @t82 @t83 @t22)) % 1.01/1.21 (define @t725 () (tptp.hAPP @t546 @t4)) % 1.01/1.21 (define @t726 () (tptp.hBOOL (tptp.hAPP @t179 @t456))) % 1.01/1.21 (define @t727 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t486)) % 1.01/1.21 (define @t728 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t483)) % 1.01/1.21 (define @t729 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t488)) % 1.01/1.21 (define @t730 () (@list @t486 @t483 @t474 @t22)) % 1.01/1.21 (define @t731 () (@var "V_d" $$unsorted)) % 1.01/1.21 (define @t732 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t483 @t496)) % 1.01/1.21 (define @t733 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t499)) % 1.01/1.21 (define @t734 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t490)) % 1.01/1.21 (define @t735 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t490 @t474)) % 1.01/1.21 (define @t736 () (@list @t474 @t490 @t22)) % 1.01/1.21 (define @t737 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t488 @t474)) % 1.01/1.21 (define @t738 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t10 @t9)) % 1.01/1.21 (define @t739 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t492 @t490)) % 1.01/1.21 (define @t740 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t492 @t474)) % 1.01/1.21 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t26 @t215)) % 1.01/1.21 (define @t742 () (tptp.c_Transitive__Closure_Ortrancl @t22 @t198)) % 1.01/1.21 (define @t743 () (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t369 @t742)) % 1.01/1.21 (define @t744 () (@list @t198 @t82 @t22)) % 1.01/1.21 (define @t745 () (@var "V_R1_2" $$unsorted)) % 1.01/1.21 (define @t746 () (@var "V_R2_2" $$unsorted)) % 1.01/1.21 (define @t747 () (tptp.class_Orderings_Olinorder @t22)) % 1.01/1.21 (define @t748 () (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t2 @t1)) % 1.01/1.21 (define @t749 () (tptp.class_Orderings_Oord @t83)) % 1.01/1.21 (define @t750 () (tptp.class_Orderings_Oorder @t22)) % 1.01/1.21 (define @t751 () (= @t474 @t490)) % 1.01/1.21 (define @t752 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t496 @t483)) % 1.01/1.21 (define @t753 () (= @t486 @t496)) % 1.01/1.21 (define @t754 () (tptp.class_Orderings_Oord @t22)) % 1.01/1.21 (define @t755 () (= @t483 @t486)) % 1.01/1.21 (define @t756 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t9 @t10)) % 1.01/1.21 (define @t757 () (@list @t2 @t20 @t26 @t22 @t83)) % 1.01/1.21 (define @t758 () (@list @t22 @t20 @t26)) % 1.01/1.21 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t20 @t215)) % 1.01/1.21 (define @t760 () (@var "V_Q_2" $$unsorted)) % 1.01/1.21 (define @t761 () (tptp.hBOOL (tptp.hAPP @t760 @t10))) % 1.01/1.21 (define @t762 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t150 @t760)) % 1.01/1.21 (define @t763 () (tptp.hAPP @t577 @t215)) % 1.01/1.21 (define @t764 () (@var "T_1" $$unsorted)) % 1.01/1.21 (define @t765 () (@var "T_2" $$unsorted)) % 1.01/1.21 (define @t766 () (tptp.tc_fun @t765 @t764)) % 1.01/1.21 (define @t767 () (tptp.class_Lattices_Obounded__lattice @t764)) % 1.01/1.21 (define @t768 () (@list @t765 @t764)) % 1.01/1.21 (define @t769 () (tptp.class_Lattices_Olattice @t764)) % 1.01/1.21 (define @t770 () (@var "V_P" $$unsorted)) % 1.01/1.21 (define @t771 () (@var "V_Q" $$unsorted)) % 1.01/1.21 (define @t772 () (tptp.hAPP (tptp.c_COMBK @t22 @t83 @t770) @t771)) % 1.01/1.21 (define @t773 () (forall (@list @t771 @t770 @t83 @t22) (= @t772 @t770))) % 1.01/1.21 (define @t774 () (tptp.hAPP @t760 @t41)) % 1.01/1.21 (define @t775 () (tptp.hAPP @t150 @t41)) % 1.01/1.21 (define @t776 () (@list @t41 @t760 @t150 @t22 @t88 @t83)) % 1.01/1.21 (define @t777 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t10) @t9))) % 1.01/1.21 (define @t778 () (@list @t9 @t10)) % 1.01/1.21 (define @t779 () (not (tptp.hBOOL @t150))) % 1.01/1.21 (define @t780 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t150))) % 1.01/1.21 (define @t781 () (@list @t150)) % 1.01/1.21 (define @t782 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 tptp.v_L) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.01/1.21 (define @t783 () (tptp.c_COMBK @t13 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.v_L)) % 1.01/1.21 (define @t784 () (tptp.hAPP @t36 @t783)) % 1.01/1.21 (define @t785 () (tptp.hBOOL (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_OLin tptp.v_L))) % 1.01/1.21 (define @t786 () (= @t782 @t785)) % 1.01/1.21 (define @t787 () (tptp.c_member tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 1.01/1.21 (define @t788 () (forall @t8 (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t787 @t4) @t306))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t783 @t4)) (tptp.hAPP @t305 @t4)))))) % 1.01/1.21 (define @t789 () (@quantifiers_skolemize @t788 0)) % 1.01/1.21 (define @t790 () (tptp.hAPP @t783 @t789)) % 1.01/1.21 (define @t791 () (tptp.hAPP @t305 @t789)) % 1.01/1.21 (define @t792 () (forall @t8 (or @t544 @t309))) % 1.01/1.21 (define @t793 () (tptp.hAPP @t784 @t307)) % 1.01/1.21 (define @t794 () (tptp.hBOOL @t793)) % 1.01/1.21 (define @t795 () (not @t788)) % 1.01/1.21 (define @t796 () (or @t795 @t794)) % 1.01/1.21 (define @t797 () (@list true false)) % 1.01/1.21 (define @t798 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 @t790) @t791))) % 1.01/1.21 (define @t799 () (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t787 @t789) @t306))) @t798)) % 1.01/1.21 (define @t800 () (tptp.hAPP @t791 @t790)) % 1.01/1.21 (define @t801 () (tptp.hBOOL @t800)) % 1.01/1.21 (define @t802 () (= @t798 @t801)) % 1.01/1.21 (define @t803 () (not @t801)) % 1.01/1.21 (define @t804 () (= tptp.c_Arrow__Order__Mirabelle_OLin @t791)) % 1.01/1.21 (define @t805 () (= tptp.v_L @t790)) % 1.01/1.21 (define @t806 () (and @t785 @t804 @t805)) % 1.01/1.21 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 1.01/1.21 (assume @p2 (forall @t18 (=> @t17 (=> @t15 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Arrow__Order__Mirabelle_Oabove @t11 @t10 @t9)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 1.01/1.21 (assume @p3 (forall @t18 (=> @t17 (=> @t15 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Arrow__Order__Mirabelle_Obelow @t11 @t10 @t9)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 1.01/1.21 (assume @p4 (forall @t19 (=> @t15 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t11 @t10)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.01/1.21 (assume @p5 (forall @t19 (=> @t15 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Arrow__Order__Mirabelle_Omktop @t11 @t10)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.01/1.21 (assume @p6 (forall (@list @t21 @t22 @t20 @t26) (=> @t30 (=> @t29 (not (=> (not @t27) @t25)))))) % 1.01/1.21 (assume @p7 (forall @t39 (= @t38 (forall @t8 (=> @t37 (= @t34 @t32)))))) % 1.01/1.21 (assume @p8 (forall @t47 (= (= @t46 @t45) @t42))) % 1.01/1.21 (assume @p9 (exists (@list @t48) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 @t48) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.01/1.21 (assume @p10 (forall @t53 (= @t52 @t50))) % 1.01/1.21 (assume @p11 (forall @t61 (=> @t60 (=> @t59 @t56)))) % 1.01/1.21 (assume @p12 (forall (@list @t26 @t22 @t9 @t10) (=> @t16 (= @t52 @t63)))) % 1.01/1.21 (assume @p13 (forall (@list @t10 @t22 @t20 @t26) (=> @t30 (= @t52 @t64)))) % 1.01/1.21 (assume @p14 (forall @t65 (= (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP tptp.c_fequal @t9))) @t16))) % 1.01/1.21 (assume @p15 (forall @t77 (=> @t76 (=> @t15 (= (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_Arrow__Order__Mirabelle_Obelow @t11 @t54 @t57))) (and @t17 (=> @t75 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t67 @t57)) @t11))) (=> (not @t75) (and (=> @t71 (or @t74 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t73 @t9)) @t11)))) (=> @t72 @t70))))))))) % 1.01/1.21 (assume @p16 (forall @t77 (=> @t76 (=> @t15 (= (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_Arrow__Order__Mirabelle_Oabove @t11 @t54 @t57))) (and @t17 (=> @t78 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t79 @t9)) @t11))) (=> (not @t78) (and (=> @t74 (or @t71 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t67 @t54)) @t11)))) (=> (not @t74) @t70))))))))) % 1.01/1.21 (assume @p17 (forall (@list @t11) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t11)) tptp.c_Arrow__Order__Mirabelle_OLin)) @t15))) % 1.01/1.21 (assume @p18 (forall (@list @t57 @t54 @t11) (=> @t15 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t79 @t57)) @t11)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t73 @t54)) @t11))))))) % 1.01/1.21 (assume @p19 (forall (@list @t9 @t10 @t11) (=> @t15 (=> @t17 (= (not @t70) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t66 @t9) @t10)) @t11))))))) % 1.01/1.21 (assume @p20 (forall (@list @t9 @t10 @t2 @t82 @t83 @t22) (= (tptp.c_Predicate_Oinv__imagep @t22 @t83 @t82 @t2 @t10 @t9) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t81) @t80))))) % 1.01/1.21 (assume @p21 (forall @t93 (=> @t92 (=> (not @t87) @t84)))) % 1.01/1.21 (assume @p22 (forall @t93 (=> @t92 (=> @t56 @t87)))) % 1.01/1.21 (assume @p23 (forall (@list @t88 @t83 @t21 @t57 @t20 @t26 @t54 @t22) (=> @t56 (=> @t87 @t95)))) % 1.01/1.21 (assume @p24 (forall @t101 (= (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t11 @t96))) (and @t100 (=> @t97 @t17) (=> @t98 @t70))))) % 1.01/1.21 (assume @p25 (forall @t101 (= (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_Arrow__Order__Mirabelle_Omktop @t11 @t96))) (and @t98 (=> @t99 @t17) (=> @t100 @t70))))) % 1.01/1.21 (assume @p26 (forall (@list @t40 @t41 @t83 @t22) (= (= @t111 @t110) @t42))) % 1.01/1.21 (assume @p27 (forall @t117 (= @t95 (exists @t8 (and @t116 @t114))))) % 1.01/1.21 (assume @p28 (forall @t117 (= @t92 @t118))) % 1.01/1.21 (assume @p29 (forall @t130 (= @t129 @t123))) % 1.01/1.21 (assume @p30 (forall @t130 (=> @t132 (tptp.hBOOL (tptp.hAPP @t122 @t131))))) % 1.01/1.21 (assume @p31 (forall @t130 (=> @t129 @t123))) % 1.01/1.21 (assume @p32 (forall @t139 (=> @t138 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t83 @t137) @t26) @t2) @t10) (tptp.hAPP @t136 @t135))))) % 1.01/1.21 (assume @p33 (forall @t139 (=> @t138 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t83 @t137) @t26) @t2) @t10) (tptp.hAPP @t140 @t135))))) % 1.01/1.21 (assume @p34 (forall (@list @t9 @t10 @t41 @t83 @t22) (= (tptp.c_FunDef_Oin__rel @t22 @t83 @t41 @t10 @t9) (tptp.hBOOL (tptp.hAPP @t143 @t41))))) % 1.01/1.21 (assume @p35 (forall @t148 (=> @t138 (= (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t147 @t146) @t2)) (tptp.hAPP @t146 (tptp.hAPP (tptp.hAPP @t145 @t136) @t134)))))) % 1.01/1.21 (assume @p36 (forall @t148 (=> @t138 (= (tptp.hAPP @t140 (tptp.hAPP (tptp.hAPP @t147 @t149) @t2)) (tptp.hAPP @t149 (tptp.hAPP (tptp.hAPP @t145 @t140) @t134)))))) % 1.01/1.21 (assume @p37 (forall (@list @t22 @t41 @t9 @t151 @t83 @t10 @t150) (=> @t157 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 (tptp.hAPP (tptp.hAPP @t154 @t151) @t9)) (tptp.hAPP @t41 @t10))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP @t141 @t151)) @t142)) (tptp.c_Recdef_Osame__fst @t22 @t83 @t150 @t41))))))) % 1.01/1.21 (assume @p38 (forall (@list @t88 @t83 @t21 @t57 @t20 @t26 @t22) (=> @t118 @t92))) % 1.01/1.21 (assume @p39 (forall @t166 (=> @t165 (=> (not @t161) (not @t160))))) % 1.01/1.21 (assume @p40 (forall @t166 (=> @t165 (=> @t160 @t161)))) % 1.01/1.21 (assume @p41 (forall (@list @t20 @t57 @t83 @t26 @t54 @t22) (=> @t56 (=> (tptp.hBOOL (tptp.hAPP @t170 @t85)) (tptp.hBOOL (tptp.hAPP @t170 @t169)))))) % 1.01/1.21 (assume @p42 (forall @t176 (=> @t175 (=> (not @t171) @t84)))) % 1.01/1.21 (assume @p43 (forall @t176 (=> @t175 (=> @t56 @t171)))) % 1.01/1.21 (assume @p44 (forall (@list @t83 @t57 @t20 @t26 @t54 @t22) (=> @t56 (=> @t171 @t177)))) % 1.01/1.21 (assume @p45 (forall @t181 (= @t165 (forall @t8 (=> @t180 @t178))))) % 1.01/1.21 (assume @p46 (forall @t181 (= @t185 (exists @t8 (and @t180 @t178))))) % 1.01/1.21 (assume @p47 (forall @t188 (= (tptp.hAPP @t124 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t186) @t40) @t82)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t105) @t40) @t187)))) % 1.01/1.21 (assume @p48 (forall @t188 (= (tptp.hAPP @t124 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t88 @t186) @t40) @t82)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t88 @t105) @t40) @t187)))) % 1.01/1.21 (assume @p49 (forall @t189 (= (tptp.hAPP @t124 @t131) @t82))) % 1.01/1.21 (assume @p50 (forall @t197 (= (tptp.c_Relation_Oirrefl @t22 @t82) (forall @t8 (not @t196))))) % 1.01/1.21 (assume @p51 (forall (@list @t198 @t82 @t199 @t200 @t57 @t54 @t83 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP (tptp.hAPP @t152 @t127) (tptp.hAPP (tptp.hAPP @t102 @t200) @t199))) (tptp.c_Wellfounded_Olex__prod @t22 @t83 @t82 @t198))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t201 @t200)) @t82)) (and (= @t54 @t200) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 (tptp.hAPP (tptp.hAPP @t154 @t57) @t199)) @t198))))))) % 1.01/1.21 (assume @p52 (forall (@list @t82 @t204 @t83 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 @t204) @t125)) (not (forall @t205 (=> (= @t204 (tptp.hAPP (tptp.hAPP @t102 @t202) @t4)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t121 (tptp.hAPP @t203 @t202)) @t82))))))))) % 1.01/1.21 (assume @p53 (forall @t117 (=> @t95 (not (forall @t8 (=> @t116 (not @t114))))))) % 1.01/1.21 (assume @p54 (forall @t130 (=> @t132 (tptp.hBOOL (tptp.hAPP @t170 @t206))))) % 1.01/1.21 (assume @p55 (forall @t61 (=> @t60 (=> @t56 (tptp.hBOOL (tptp.hAPP @t208 @t207)))))) % 1.01/1.21 (assume @p56 (forall @t211 (= (tptp.hBOOL (tptp.hAPP @t210 @t207)) (and @t16 @t52)))) % 1.01/1.21 (assume @p57 (forall @t130 (=> @t132 @t213))) % 1.01/1.21 (assume @p58 (forall (@list @t9 @t10 @t82 @t83 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t22 @t83 @t214) @t10) @t9)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t121 (tptp.hAPP (tptp.hAPP @t119 @t10) @t9)) @t131))))) % 1.01/1.21 (assume @p59 (forall @t197 (= (tptp.c_Nitpick_Orefl_H @t22 @t82) (forall @t8 @t196)))) % 1.01/1.21 (assume @p60 (forall @t222 (= (tptp.hAPP (tptp.hAPP @t182 @t221) @t215) (tptp.hAPP @t220 (tptp.hAPP (tptp.hAPP @t218 (tptp.hAPP (tptp.hAPP @t217 @t182) @t20)) @t215))))) % 1.01/1.21 (assume @p61 (forall @t222 (= (tptp.hAPP (tptp.hAPP @t162 @t221) @t215) (tptp.hAPP @t224 (tptp.hAPP (tptp.hAPP @t218 (tptp.hAPP (tptp.hAPP @t217 @t162) @t20)) @t215))))) % 1.01/1.21 (assume @p62 (forall (@list @t150 @t20 @t26 @t83 @t22) (= (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t115 @t184)) (tptp.hBOOL (tptp.hAPP @t150 @t4)))) (forall @t8 (=> @t180 (forall @t227 (=> (tptp.hBOOL (tptp.hAPP @t226 @t112)) (tptp.hBOOL (tptp.hAPP @t150 @t225))))))))) % 1.01/1.21 (assume @p63 (forall @t233 (= (tptp.hAPP @t183 (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t231 @t219) @t20)) @t215)) (tptp.hAPP (tptp.hAPP @t219 @t229) @t215)))) % 1.01/1.21 (assume @p64 (forall @t233 (= (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t232 (tptp.hAPP (tptp.hAPP @t231 @t223) @t20)) @t215)) (tptp.hAPP (tptp.hAPP @t223 @t229) @t215)))) % 1.01/1.21 (assume @p65 (forall @t236 (= @t175 @t235))) % 1.01/1.21 (assume @p66 (forall @t237 (= (tptp.c_Relation_ORange @t22 @t22 @t207) @t26))) % 1.01/1.21 (assume @p67 (forall @t237 (= (tptp.c_Relation_ODomain @t22 @t22 @t207) @t26))) % 1.01/1.21 (assume @p68 (forall @t236 (= @t177 (exists @t8 (and @t116 @t234))))) % 1.01/1.21 (assume @p69 (forall @t238 (= (tptp.c_Predicate_Oconversep @t22 @t22 tptp.c_fequal) tptp.c_fequal))) % 1.01/1.21 (assume @p70 (forall @t189 (= (tptp.c_Predicate_Oconversep @t83 @t22 @t239) @t82))) % 1.01/1.21 (assume @p71 (forall @t242 (= @t241 @t240))) % 1.01/1.21 (assume @p72 (forall (@list @t244 @t243 @t82 @t83 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t239 @t243) @t244)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t244) @t243))))) % 1.01/1.21 (assume @p73 (forall @t246 (=> @t245 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t239 @t57) @t54))))) % 1.01/1.21 (assume @p74 (forall @t242 (=> @t241 @t240))) % 1.01/1.21 (assume @p75 (forall @t189 (= (tptp.c_Relation_ORange @t83 @t22 @t131) @t212))) % 1.01/1.21 (assume @p76 (forall @t249 (= @t248 @t247))) % 1.01/1.21 (assume @p77 (forall @t189 (= @t247 @t248))) % 1.01/1.21 (assume @p78 (forall @t65 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t22 @t22 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t43 @t43 @t22) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t22) tptp.c_fNot)) tptp.c_fequal)) @t10) @t9)) @t17))) % 1.01/1.21 (assume @p79 (forall @t237 (= (tptp.hAPP @t250 @t207) @t207))) % 1.01/1.21 (assume @p80 (forall @t253 (= @t213 (exists @t252 @t251)))) % 1.01/1.21 (assume @p81 (forall @t253 (= (tptp.hBOOL (tptp.hAPP @t55 @t247)) (exists @t252 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t121 (tptp.hAPP (tptp.hAPP @t119 @t202) @t54)) @t82)))))) % 1.01/1.21 (assume @p82 (forall @t255 (= (tptp.c_Predicate_ORangeP @t22 @t83 @t214 @t10) (tptp.hBOOL (tptp.hAPP @t254 @t206))))) % 1.01/1.21 (assume @p83 (forall @t255 (= (tptp.c_Predicate_ODomainP @t22 @t83 @t214 @t10) (tptp.hBOOL (tptp.hAPP @t51 @t212))))) % 1.01/1.21 (assume @p84 (forall (@list @t26 @t21 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 @t21) @t207)) (not (forall @t8 (=> @t116 (not (= @t21 @t192)))))))) % 1.01/1.21 (assume @p85 (forall (@list @t82 @t83 @t57 @t22) (=> (tptp.hBOOL (tptp.hAPP @t58 @t247)) (not (forall @t8 (not @t256)))))) % 1.01/1.21 (assume @p86 (forall @t253 (=> @t213 (not (forall @t252 (not @t251)))))) % 1.01/1.21 (assume @p87 (forall @t266 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t91 @t257) @t265) @t10) @t9)) (tptp.hBOOL (tptp.hAPP @t262 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t22 @t259) @t257) @t82)))))) % 1.01/1.21 (assume @p88 (forall @t266 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t94 @t257) @t265) @t10) @t9)) (tptp.hBOOL (tptp.hAPP @t262 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t259) @t257) @t82)))))) % 1.01/1.21 (assume @p89 (forall @t39 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t35 @t13)) @t33) (tptp.c_FuncSet_OPi @t35 @t13 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK @t272 @t35 tptp.c_Arrow__Order__Mirabelle_OLin)))) (=> (forall @t8 (=> @t37 (forall @t271 (=> (not (= @t268 @t267)) (=> (tptp.hBOOL (tptp.hAPP @t269 @t32)) @t270))))) @t38)))) % 1.01/1.21 (assume @p90 (forall @t276 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t33) (forall @t8 (=> @t37 (forall @t271 (=> (forall @t275 @t274) @t270))))))) % 1.01/1.21 (assume @p91 (forall @t277 (tptp.hBOOL (tptp.hAPP @t257 @t10)))) % 1.01/1.21 (assume @p92 (forall @t246 (=> @t245 (tptp.c_Predicate_ORangeP @t22 @t83 @t82 @t57)))) % 1.01/1.21 (assume @p93 (forall @t246 (=> @t245 (tptp.c_Predicate_ODomainP @t22 @t83 @t82 @t54)))) % 1.01/1.21 (assume @p94 (forall @t277 (tptp.hBOOL (tptp.hAPP @t51 @t257)))) % 1.01/1.21 (assume @p95 (forall (@list @t243 @t82 @t83 @t22) (= (tptp.c_Predicate_ORangeP @t22 @t83 @t82 @t243) (exists (@list @t268) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t268) @t243)))))) % 1.01/1.21 (assume @p96 (forall @t279 (= (= @t164 @t257) @t278))) % 1.01/1.21 (assume @p97 (forall @t280 (= (= @t257 @t164) @t278))) % 1.01/1.21 (assume @p98 (forall @t255 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t281 @t283) @t10)) (tptp.hBOOL (tptp.hAPP @t254 (tptp.hAPP @t281 @t82)))))) % 1.01/1.21 (assume @p99 (forall @t255 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t284 @t283) @t10)) (tptp.hBOOL (tptp.hAPP @t254 (tptp.hAPP @t284 @t82)))))) % 1.01/1.21 (assume @p100 (forall @t294 (=> @t293 (=> (not @t288) @t285)))) % 1.01/1.21 (assume @p101 (forall @t294 (=> @t296 (=> @t52 (tptp.hBOOL (tptp.hAPP @t287 @t20)))))) % 1.01/1.21 (assume @p102 (forall @t294 (=> @t293 (=> @t52 @t288)))) % 1.01/1.21 (assume @p103 (forall @t237 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t298) @t297) (tptp.c_FuncSet_OPi @t22 @t22 @t26 (tptp.c_COMBK @t43 @t22 @t26)))))) % 1.01/1.21 (assume @p104 (forall (@list @t26 @t83 @t22) (= (tptp.c_FuncSet_OPi @t22 @t83 @t26 (tptp.c_COMBK @t108 @t22 @t301)) @t300))) % 1.01/1.21 (assume @p105 (forall @t304 (=> @t303 (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t144) @t10) @t302)))) % 1.01/1.21 (assume @p106 (forall @t276 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t33) (forall @t8 (=> @t37 (forall @t227 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t225) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t271 (=> (forall @t275 (= @t274 (tptp.hBOOL (tptp.hAPP @t269 (tptp.hAPP @t225 @t273))))) (= @t270 (tptp.hBOOL (tptp.hAPP @t269 (tptp.hAPP @t33 @t225))))))))))))) % 1.01/1.21 (assume @p107 (= tptp.c_Arrow__Order__Mirabelle_OProf @t307)) % 1.01/1.21 (assume @p108 @t313) % 1.01/1.21 (assume @p109 (forall @t312 (=> @t314 @t296))) % 1.01/1.21 (assume @p110 (forall (@list @t20 @t83 @t1 @t2 @t26 @t22) (=> (forall (@list @t316) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t316) @t26)) (= (tptp.hAPP @t2 @t316) (tptp.hAPP @t1 @t316)))) (= @t293 (tptp.hBOOL (tptp.hAPP @t315 @t289)))))) % 1.01/1.21 (assume @p111 (forall (@list @t83 @t57 @t20 @t26 @t22) (=> @t235 @t175))) % 1.01/1.21 (assume @p112 (forall (@list @t20 @t57 @t83 @t26 @t22) (=> (forall @t8 (=> @t116 (tptp.hBOOL (tptp.hAPP @t170 @t112)))) (tptp.hBOOL (tptp.hAPP @t170 @t174))))) % 1.01/1.21 (assume @p113 (forall (@list @t320 @t317 @t318 @t215 @t1 @t88 @t20 @t26 @t2 @t83 @t22) (=> @t296 (=> @t321 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t88 @t318)) @t317) (tptp.c_FuncSet_OPi @t88 @t318 @t215 (tptp.c_COMBK (tptp.tc_fun @t318 tptp.tc_HOL_Obool) @t88 @t320)))) (= (tptp.c_FuncSet_Ocompose @t22 @t88 @t318 @t26 @t317 @t319) (tptp.c_FuncSet_Ocompose @t22 @t83 @t318 @t26 (tptp.c_FuncSet_Ocompose @t83 @t88 @t318 @t20 @t317 @t1) @t2))))))) % 1.01/1.21 (assume @p114 (forall (@list @t2 @t1 @t83 @t88 @t26 @t10 @t22) (=> @t52 (= (tptp.hAPP @t322 @t10) (tptp.hAPP @t1 @t81))))) % 1.01/1.21 (assume @p115 (forall (@list @t215 @t1 @t88 @t20 @t26 @t2 @t83 @t22) (=> @t296 (=> @t321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t22 @t88)) @t319) (tptp.c_FuncSet_OPi @t22 @t88 @t26 (tptp.c_COMBK @t89 @t22 @t215)))))))) % 1.01/1.21 (assume @p116 (forall (@list @t1 @t2 @t26 @t88 @t83 @t22) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t291 (tptp.c_FuncSet_Ocompose @t22 @t88 @t83 @t26 @t2 @t1)) @t323)))) % 1.01/1.21 (assume @p117 (forall (@list @t54 @t82 @t57 @t22) (=> @t327 (=> @t326 @t325)))) % 1.01/1.21 (assume @p118 (forall @t328 (= @t325 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t191 @t54)) @t82)) (tptp.hBOOL (tptp.hAPP @t115 @t324))))))) % 1.01/1.21 (assume @p119 (forall @t181 (=> @t185 (not (forall @t8 (=> @t180 (not @t178))))))) % 1.01/1.21 (assume @p120 (forall @t236 (=> @t177 (not (forall @t8 (=> @t116 (not @t234))))))) % 1.01/1.21 (assume @p121 (forall @t331 (= @t330 (forall @t8 (=> @t116 (forall @t227 (=> (tptp.hBOOL (tptp.hAPP @t226 @t26)) (=> @t329 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t191 @t225)) @t82)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP (tptp.hAPP @t190 @t225) @t4)) @t82))))))))))) % 1.01/1.21 (assume @p122 (forall (@list @t2 @t82 @t83 @t9 @t10 @t22) (= (tptp.hBOOL (tptp.hAPP @t210 (tptp.c_Relation_Oinv__image @t83 @t22 @t82 @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 (tptp.hAPP (tptp.hAPP @t154 @t81) @t80)) @t82))))) % 1.01/1.21 (assume @p123 (forall (@list @t2 @t41 @t83 @t22) (= (tptp.hAPP @t250 (tptp.c_Relation_Oinv__image @t83 @t22 @t41 @t2)) (tptp.c_Relation_Oinv__image @t83 @t22 (tptp.hAPP (tptp.c_Relation_Oconverse @t83 @t83) @t41) @t2)))) % 1.01/1.21 (assume @p124 (forall @t331 (= (tptp.c_Relation_Ototal__on @t22 @t26 @t332) @t330))) % 1.01/1.21 (assume @p125 (forall (@list @t20 @t26 @t1 @t83 @t22) (=> (tptp.hBOOL (tptp.hAPP @t315 @t295)) (=> @t333 (= (tptp.c_FuncSet_Ocompose @t22 @t22 @t83 @t26 @t1 (tptp.c_FuncSet_Orestrict @t22 @t22 @t297 @t26)) @t1))))) % 1.01/1.21 (assume @p126 (forall @t335 (=> @t296 (=> @t334 (= (tptp.c_FuncSet_Ocompose @t22 @t83 @t83 @t26 (tptp.c_FuncSet_Orestrict @t83 @t83 (tptp.c_COMBI @t83) @t20) @t2) @t2))))) % 1.01/1.21 (assume @p127 (forall @t340 (= (tptp.c_Wellfounded_Oaccp @t22 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t22 @t337 @t43) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t339 (tptp.tc_fun @t337 @t43) @t22) (tptp.c_COMBC @t22 @t337 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t22 @t193) @t339 @t22) (tptp.hAPP (tptp.c_COMBB @t193 @t338 @t22) @t194)) @t190))) @t82) @t10) @t336))) % 1.01/1.21 (assume @p128 (forall (@list @t82 @t10 @t22) (=> (forall @t252 (=> @t342 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t202) @t324)))) @t336))) % 1.01/1.21 (assume @p129 (forall (@list @t41 @t10 @t22) (=> (not (tptp.hBOOL (tptp.hAPP @t51 @t343))) (not (forall @t346 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t345 @t10)) @t41)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t344) @t343)))))))) % 1.01/1.21 (assume @p130 (forall (@list @t10 @t26 @t2 @t83 @t22) (=> @t334 (=> @t285 @t348)))) % 1.01/1.21 (assume @p131 (forall (@list @t1 @t26 @t2 @t83 @t22) (=> @t334 (=> @t333 (=> (forall @t8 (=> @t116 @t7)) @t3))))) % 1.01/1.21 (assume @p132 (forall (@list @t54 @t57 @t82 @t22) (=> (tptp.c_Wellfounded_Oaccp @t22 @t82 @t57) (=> @t245 @t349)))) % 1.01/1.21 (assume @p133 (forall (@list @t54 @t82 @t22) (= @t349 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t350 @t54)) (tptp.c_Wellfounded_Oaccp @t22 @t82 @t4)))))) % 1.01/1.21 (assume @p134 (forall (@list @t2 @t83 @t26 @t10 @t22) (and (=> @t52 (= @t352 @t81)) (=> @t285 (= @t352 @t347))))) % 1.01/1.21 (assume @p135 (forall (@list @t2 @t1 @t26 @t83 @t88 @t22) (= @t322 (tptp.c_FuncSet_Orestrict @t22 @t83 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 @t83 @t22) @t1) @t2) @t26)))) % 1.01/1.21 (assume @p136 (forall @t353 (=> @t334 (= @t351 @t2)))) % 1.01/1.21 (assume @p137 (forall @t353 (tptp.hBOOL (tptp.hAPP @t354 @t323)))) % 1.01/1.21 (assume @p138 (forall @t312 (=> @t310 (tptp.hBOOL (tptp.hAPP @t354 @t289))))) % 1.01/1.21 (assume @p139 (forall @t312 (=> @t314 (tptp.hBOOL (tptp.hAPP @t354 @t295))))) % 1.01/1.21 (assume @p140 (forall (@list @t2 @t83 @t82 @t10 @t9 @t22) (and (=> @t362 (= @t358 @t80)) (=> (not @t362) (= @t358 @t347))))) % 1.01/1.21 (assume @p141 (forall @t368 (=> @t367 (=> @t364 @t348)))) % 1.01/1.21 (assume @p142 (forall (@list @t82 @t54 @t57 @t22) (=> @t371 (=> @t325 @t327)))) % 1.01/1.21 (assume @p143 (forall (@list @t57 @t82 @t54 @t22) (=> @t325 (=> @t371 @t327)))) % 1.01/1.21 (assume @p144 (forall @t368 (=> @t367 (=> @t363 (tptp.hBOOL (tptp.hAPP @t287 @t365)))))) % 1.01/1.21 (assume @p145 (forall (@list @t83 @t54 @t10 @t22 @t372 @t373) (=> (tptp.hBOOL (tptp.hAPP @t374 @t373)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t355 @t372) @t373) @t54) @t10) (tptp.hAPP @t372 @t10))))) % 1.01/1.21 (assume @p146 (forall (@list @t1 @t10 @t82 @t2 @t83 @t22) (= (= @t357 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t355 @t1) @t82) @t10)) (forall @t252 (=> @t342 (= (tptp.hAPP @t2 @t202) (tptp.hAPP @t1 @t202))))))) % 1.01/1.21 (assume @p147 (forall (@list @t2 @t83 @t82 @t54 @t10 @t22) (=> (tptp.hBOOL (tptp.hAPP @t374 @t82)) (= (tptp.hAPP (tptp.hAPP @t356 @t54) @t10) @t81)))) % 1.01/1.21 (assume @p148 (forall @t328 (tptp.hBOOL (tptp.hAPP @t375 @t369)))) % 1.01/1.21 (assume @p149 (forall @t379 (=> @t378 (tptp.hBOOL (tptp.hAPP @t377 @t369))))) % 1.01/1.21 (assume @p150 (forall (@list @t9 @t41 @t10 @t22) (=> (not (tptp.hBOOL (tptp.hAPP @t51 (tptp.c_Relation_ODomain @t22 @t22 @t41)))) (= @t381 @t16)))) % 1.01/1.21 (assume @p151 (forall @t385 (=> @t384 @t383))) % 1.01/1.21 (assume @p152 (forall @t386 (=> @t383 @t384))) % 1.01/1.21 (assume @p153 (forall @t387 (= (tptp.c_Relation_ORange @t22 @t22 @t380) @t257))) % 1.01/1.21 (assume @p154 (forall @t197 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t369) @t369))) % 1.01/1.21 (assume @p155 (forall @t197 (= @t382 (tptp.hAPP @t250 @t369)))) % 1.01/1.21 (assume @p156 (forall @t394 (=> @t393 @t392))) % 1.01/1.21 (assume @p157 (forall @t394 (=> @t393 (=> @t395 @t389)))) % 1.01/1.21 (assume @p158 (forall @t394 (=> @t326 @t392))) % 1.01/1.21 (assume @p159 (forall @t387 (= (tptp.c_Relation_ODomain @t22 @t22 @t380) @t257))) % 1.01/1.21 (assume @p160 (forall @t397 (tptp.c_Recdef_Oadm__wf @t22 @t83 @t41 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t290 @t298 @t290) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t396 (tptp.tc_fun @t298 @t290) @t290) (tptp.c_COMBS @t22 @t22 @t83)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t396 @t396 @t290) (tptp.hAPP (tptp.c_COMBB @t290 @t290 @t22) @t33)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t290 @t337 @t396) @t355) @t41)))) @t297)))) % 1.01/1.21 (assume @p161 (forall (@list @t96 @t9 @t10 @t82 @t22) (=> (tptp.c_Relation_Osingle__valued @t22 @t22 @t82) (=> @t401 (=> @t400 (or (tptp.hBOOL (tptp.hAPP @t398 @t369)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP (tptp.hAPP @t190 @t96) @t9)) @t369)))))))) % 1.01/1.21 (assume @p162 (forall @t420 (=> @t419 (=> @t417 (=> (forall @t271 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP @t416 @t410)) @t413)) (forall (@list @t406 @t405) (=> @t412 (=> @t408 @t407))))) @t404))))) % 1.01/1.21 (assume @p163 (forall @t420 (=> @t419 (=> @t404 (=> (forall (@list @t268 @t267 @t406 @t405) (=> @t412 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP (tptp.hAPP @t152 @t409) @t418)) @t413)) (=> @t407 @t408)))) @t417))))) % 1.01/1.21 (assume @p164 (forall (@list @t82 @t421 @t422 @t424 @t425 @t83 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP @t427 @t423)) @t413)) (=> (not (= @t426 @t423)) (not (forall @t271 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP @t427 @t410)) @t82)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.hAPP @t411 @t423)) @t413)))))))))) % 1.01/1.21 (assume @p165 (forall (@list @t365 @t40 @t83 @t22) (= @t366 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t299) (tptp.c_FuncSet_OPi @t22 @t83 @t40 (tptp.c_COMBK @t108 @t22 @t365))) (tptp.c_FuncSet_Oextensional @t22 @t83 @t40))))) % 1.01/1.21 (assume @p166 (forall (@list @t22 @t20 @t10 @t26) (=> @t50 (=> @t432 @t431)))) % 1.01/1.21 (assume @p167 (forall @t433 (=> @t431 (not (=> @t50 (not @t432)))))) % 1.01/1.21 (assume @p168 (forall @t435 (=> @t27 (=> @t25 @t434)))) % 1.01/1.21 (assume @p169 (forall @t435 (=> @t434 (not @t29)))) % 1.01/1.21 (assume @p170 (forall @t237 (= (tptp.hAPP @t429 @t26) @t26))) % 1.01/1.21 (assume @p171 (forall @t437 (= @t430 (tptp.hAPP @t436 @t26)))) % 1.01/1.21 (assume @p172 (forall @t437 (= (tptp.hAPP @t429 @t430) @t430))) % 1.01/1.21 (assume @p173 (forall @t441 (= @t440 (tptp.hAPP @t436 @t438)))) % 1.01/1.21 (assume @p174 (forall @t441 (= (tptp.hAPP (tptp.hAPP @t428 @t430) @t215) @t440))) % 1.01/1.21 (assume @p175 (forall @t433 (=> @t431 @t50))) % 1.01/1.21 (assume @p176 (forall @t433 (=> @t431 @t432))) % 1.01/1.21 (assume @p177 (forall @t435 (= @t434 (and @t27 @t25)))) % 1.01/1.21 (assume @p178 (forall @t435 (=> @t434 @t27))) % 1.01/1.21 (assume @p179 (forall @t435 (=> @t434 @t25))) % 1.01/1.21 (assume @p180 (forall @t442 (= (tptp.hAPP (tptp.hAPP @t428 @t257) @t20) @t20))) % 1.01/1.21 (assume @p181 (forall @t237 (= (tptp.hAPP @t429 @t257) @t26))) % 1.01/1.21 (assume @p182 (forall (@list @t10 @t40 @t41 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t428 @t46) @t45) @t10)) (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP @t428 @t41) @t40)))))) % 1.01/1.21 (assume @p183 (forall @t447 (= @t446 @t444))) % 1.01/1.21 (assume @p184 (forall @t447 (= @t454 @t449))) % 1.01/1.21 (assume @p185 (forall @t455 (= @t444 @t446))) % 1.01/1.21 (assume @p186 (forall @t459 (= (tptp.hAPP @t436 @t458) (tptp.hAPP @t457 (tptp.hAPP (tptp.hAPP @t445 @t436) @t26))))) % 1.01/1.21 (assume @p187 (forall @t460 (= @t449 @t454))) % 1.01/1.21 (assume @p188 (forall (@list @t20 @t461 @t88 @t26 @t456 @t83 @t22) (= (tptp.hAPP (tptp.hAPP @t428 @t458) (tptp.hAPP @t462 @t20)) (tptp.hAPP @t457 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t230 @t43 @t83) @t462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t83 @t230 @t230) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t450 (tptp.tc_fun @t230 @t230) @t83) (tptp.c_COMBB @t43 @t43 @t88)) @t452)) @t20)))))) % 1.01/1.21 (assume @p189 (forall (@list @t20 @t26 @t456 @t22 @t83) (= (tptp.hAPP @t463 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t83 @t43 @t43) @t452) @t20)) (tptp.hAPP (tptp.hAPP @t428 @t464) (tptp.hAPP @t463 @t20))))) % 1.01/1.21 (assume @p190 (forall @t237 (tptp.c_Relation_Osingle__valued @t22 @t22 @t207))) % 1.01/1.21 (assume @p191 (forall (@list @t26 @t83 @t456 @t466 @t22) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t466) @t456)) (= (tptp.hAPP (tptp.hAPP @t467 (tptp.hAPP @t26 @t466)) @t465) @t465)))) % 1.01/1.21 (assume @p192 (forall @t249 (= @t470 @t469))) % 1.01/1.21 (assume @p193 (forall (@list @t96 @t9 @t10 @t82 @t83 @t22) (=> @t470 (=> (tptp.hBOOL (tptp.hAPP @t143 @t82)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 (tptp.hAPP @t141 @t96)) @t82)) @t99))))) % 1.01/1.21 (assume @p194 (forall (@list @t10 @t1 @t2 @t83 @t22) (=> @t473 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t144) @t2) @t1) @t10) (tptp.hAPP (tptp.hAPP @t472 @t81) @t471))))) % 1.01/1.21 (assume @p195 (forall @t476 (=> @t475 (= (tptp.hAPP (tptp.hAPP @t472 @t302) @t474) @t474)))) % 1.01/1.21 (assume @p196 (forall @t476 (=> @t475 (= (tptp.hAPP @t477 @t302) @t474)))) % 1.01/1.21 (assume @p197 (forall @t65 (=> @t475 (= (= @t478 @t302) (and (= @t10 @t302) (= @t9 @t302)))))) % 1.01/1.21 (assume @p198 (forall (@list @t9 @t10 @t40 @t41 @t83 @t22) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t481 @t111) @t110) @t10) @t9)) (tptp.hBOOL (tptp.hAPP @t143 (tptp.hAPP (tptp.hAPP @t479 @t41) @t40)))))) % 1.01/1.21 (assume @p199 (forall @t482 (= (tptp.c_Predicate_Oconversep @t83 @t22 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t216) @t82) @t198)) (tptp.hAPP (tptp.hAPP @t481 (tptp.c_Predicate_Oconversep @t83 @t22 @t82)) (tptp.c_Predicate_Oconversep @t83 @t22 @t198))))) % 1.01/1.21 (assume @p200 (forall @t482 (= (tptp.hAPP @t124 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t186) @t82) @t198)) (tptp.hAPP (tptp.hAPP @t479 @t125) (tptp.hAPP @t124 @t198))))) % 1.01/1.21 (assume @p201 (forall (@list @t483 @t22) (=> @t485 (= (tptp.hAPP @t484 @t483) @t483)))) % 1.01/1.21 (assume @p202 (forall @t476 (=> @t485 (= (tptp.hAPP @t477 @t474) @t474)))) % 1.01/1.21 (assume @p203 (forall @t489 (=> @t485 (= @t488 (tptp.hAPP @t487 @t483))))) % 1.01/1.21 (assume @p204 (forall @t494 (=> @t473 @t493))) % 1.01/1.21 (assume @p205 (forall @t494 (=> @t485 @t493))) % 1.01/1.21 (assume @p206 (forall @t489 (=> @t485 (= (tptp.hAPP @t484 @t488) @t488)))) % 1.01/1.21 (assume @p207 (forall @t494 (=> @t473 @t495))) % 1.01/1.21 (assume @p208 (forall @t494 (=> @t485 @t495))) % 1.01/1.21 (assume @p209 (forall @t498 (=> @t485 (= (tptp.hAPP @t487 (tptp.hAPP @t484 @t496)) @t497)))) % 1.01/1.21 (assume @p210 (forall @t503 (=> @t473 @t502))) % 1.01/1.21 (assume @p211 (forall @t503 (=> @t485 @t502))) % 1.01/1.21 (assume @p212 (forall @t504 (=> @t485 (= (tptp.hAPP (tptp.hAPP @t472 @t488) @t496) @t497)))) % 1.01/1.21 (assume @p213 (forall @t503 (=> @t473 @t505))) % 1.01/1.21 (assume @p214 (forall @t503 (=> @t485 @t505))) % 1.01/1.21 (assume @p215 (forall @t397 (= (tptp.c_Recdef_Oadm__wf @t22 @t83 @t41 @t33) (forall (@list @t372 @t506 @t4) (=> (forall @t346 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t345 @t4)) @t41)) (= (tptp.hAPP @t372 @t344) (tptp.hAPP @t506 @t344)))) (= (tptp.hAPP (tptp.hAPP @t33 @t372) @t4) (tptp.hAPP (tptp.hAPP @t33 @t506) @t4))))))) % 1.01/1.21 (assume @p216 (forall @t249 (=> @t469 @t470))) % 1.01/1.21 (assume @p217 (forall @t508 (=> @t393 (=> @t76 (not (forall @t252 (=> @t507 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t341 @t57)) @t82)))))))))) % 1.01/1.21 (assume @p218 (forall (@list @t82 @t96 @t10 @t22) (=> @t400 (=> @t98 (not (forall @t252 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t209 @t202)) @t82)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t341 @t96)) @t369)))))))))) % 1.01/1.21 (assume @p219 (forall @t514 (=> @t393 (=> @t513 (=> (forall (@list @t202 @t344) (=> @t512 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t345 @t57)) @t369)) (=> @t511 @t510)))) @t509))))) % 1.01/1.21 (assume @p220 (forall (@list @t83 @t22 @t20 @t9 @t10 @t26) (=> @t517 (=> @t516 @t515)))) % 1.01/1.21 (assume @p221 (forall @t518 (=> @t515 (not (=> @t517 (not @t516)))))) % 1.01/1.21 (assume @p222 (forall @t518 (=> @t515 @t517))) % 1.01/1.21 (assume @p223 (forall @t518 (=> @t515 @t516))) % 1.01/1.21 (assume @p224 (forall @t514 (=> @t393 (=> @t509 (=> (forall @t252 (=> @t507 (forall @t346 (=> @t512 (=> @t510 @t511))))) @t513))))) % 1.01/1.21 (assume @p225 (forall @t526 (and (=> @t524 (= @t522 @t301)) (=> @t525 (= @t522 @t521))))) % 1.01/1.21 (assume @p226 (forall @t526 (and (=> @t524 (= @t531 @t301)) (=> @t525 (= @t531 @t528))))) % 1.01/1.21 (assume @p227 (forall @t533 (=> @t532 (=> @t56 (tptp.hBOOL (tptp.hAPP @t375 @t82)))))) % 1.01/1.21 (assume @p228 (forall (@list @t54 @t22) (not (tptp.hBOOL (tptp.hAPP @t55 @t523))))) % 1.01/1.21 (assume @p229 (forall @t437 (= @t534 (forall @t8 (=> @t116 (forall @t227 (=> (tptp.hBOOL (tptp.hAPP @t226 @t20)) @t329))))))) % 1.01/1.21 (assume @p230 (forall @t237 (= (tptp.hAPP @t429 @t523) @t523))) % 1.01/1.21 (assume @p231 (forall @t442 (= (tptp.hAPP (tptp.hAPP @t428 @t523) @t20) @t523))) % 1.01/1.21 (assume @p232 (forall (@list @t83 @t22 @t40) (=> (not (= @t40 @t523)) (= (tptp.c_FuncSet_Oextensional__funcset @t22 @t83 @t40 @t536) @t535)))) % 1.01/1.21 (assume @p233 (forall @t304 (=> @t538 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t144) @t10) @t537)))) % 1.01/1.21 (assume @p234 (forall @t238 (tptp.c_Relation_Orefl__on @t22 @t523 @t539))) % 1.01/1.21 (assume @p235 (forall @t238 (= (tptp.c_Relation_OId__on @t22 @t523) @t539))) % 1.01/1.21 (assume @p236 (forall (@list @t22 @t83) (= (tptp.c_Relation_ORange @t83 @t22 @t540) @t523))) % 1.01/1.21 (assume @p237 (forall @t189 (= (= @t247 @t523) (= @t82 @t540)))) % 1.01/1.21 (assume @p238 (forall @t542 (= (tptp.c_Relation_ODomain @t22 @t83 @t541) @t523))) % 1.01/1.21 (assume @p239 (forall @t249 (= (= @t212 @t523) (= @t82 @t541)))) % 1.01/1.21 (assume @p240 (forall @t280 (= (= @t289 @t535) (exists @t8 (and @t116 (= @t112 @t536)))))) % 1.01/1.21 (assume @p241 (forall @t238 (not (= @t257 @t523)))) % 1.01/1.21 (assume @p242 (forall @t237 (= (forall @t8 @t544) @t543))) % 1.01/1.21 (assume @p243 (forall @t237 (= (exists @t8 @t116) @t545))) % 1.01/1.21 (assume @p244 (forall (@list @t21 @t22) (not (tptp.hBOOL (tptp.hAPP @t24 @t523))))) % 1.01/1.21 (assume @p245 (forall (@list @t54 @t22 @t26) (=> @t543 @t84))) % 1.01/1.21 (assume @p246 (forall @t277 (= (tptp.hBOOL (tptp.hAPP @t523 @t10)) (tptp.hBOOL (tptp.hAPP @t51 @t523))))) % 1.01/1.21 (assume @p247 (forall @t331 (= (tptp.c_Relation_Orefl__on @t22 @t26 @t332) @t532))) % 1.01/1.21 (assume @p248 (forall @t197 (tptp.c_Relation_Ototal__on @t22 @t523 @t82))) % 1.01/1.21 (assume @p249 (forall @t551 (=> @t550 (=> @t545 (= (tptp.hAPP @t549 @t547) @t546))))) % 1.01/1.21 (assume @p250 (forall @t279 (= (= @t184 @t523) @t552))) % 1.01/1.21 (assume @p251 (forall @t555 (and (=> @t543 (= @t554 @t536)) (=> @t545 (= @t554 @t21))))) % 1.01/1.21 (assume @p252 (forall (@list @t26 @t22 @t83) (= (tptp.hAPP @t183 (tptp.c_COMBK @t43 @t83 @t523)) @t523))) % 1.01/1.21 (assume @p253 (forall @t280 (= (= @t523 @t184) @t552))) % 1.01/1.21 (assume @p254 (forall @t551 (=> @t550 (=> @t545 (= (tptp.hAPP @t557 @t547) @t546))))) % 1.01/1.21 (assume @p255 (forall @t476 (=> @t558 (= (tptp.hAPP @t477 @t537) @t537)))) % 1.01/1.21 (assume @p256 (forall @t476 (=> @t558 (= (tptp.hAPP (tptp.hAPP @t472 @t537) @t474) @t537)))) % 1.01/1.21 (assume @p257 (forall @t237 (tptp.c_Relation_Orefl__on @t22 @t26 @t207))) % 1.01/1.21 (assume @p258 (forall @t197 (tptp.c_Relation_Orefl__on @t22 @t257 @t369))) % 1.01/1.21 (assume @p259 (forall (@list @t20 @t22 @t83) (= (tptp.hAPP (tptp.hAPP @t162 @t536) @t20) @t257))) % 1.01/1.21 (assume @p260 (forall @t555 (and (=> @t543 (= @t559 @t301)) (=> @t545 (= @t559 @t21))))) % 1.01/1.21 (assume @p261 (forall @t526 (and (=> @t524 (= @t528 @t20)) (=> @t525 (= @t528 @t531))))) % 1.01/1.21 (assume @p262 (forall @t526 (and (=> @t524 (= @t521 @t26)) (=> @t525 (= @t521 @t522))))) % 1.01/1.21 (assume @p263 (forall (@list @t20 @t83 @t22) (= (tptp.c_FuncSet_OPi @t22 @t83 @t523 @t20) @t300))) % 1.01/1.21 (assume @p264 (forall (@list @t198 @t20 @t82 @t26 @t22) (=> @t532 (=> (tptp.c_Relation_Orefl__on @t22 @t20 @t198) (tptp.c_Relation_Orefl__on @t22 @t430 (tptp.hAPP (tptp.hAPP @t560 @t82) @t198)))))) % 1.01/1.21 (assume @p265 (forall @t562 (=> @t532 (=> @t561 @t63)))) % 1.01/1.21 (assume @p266 (forall @t562 (=> @t532 (=> @t561 @t52)))) % 1.01/1.21 (assume @p267 (forall @t340 (=> (= (tptp.hAPP (tptp.hAPP @t560 @t332) @t369) @t539) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP @t209 @t10)) @t563)))))) % 1.01/1.21 (assume @p268 (forall (@list @t20 @t88 @t26 @t82 @t83 @t22) (=> (tptp.c_Relation_Osingle__valued @t22 @t83 @t125) (=> (not (= @t26 (tptp.c_Orderings_Obot__class_Obot @t89))) (= @t567 @t566))))) % 1.01/1.21 (assume @p269 (forall (@list @t82 @t26 @t83 @t40 @t22) (=> (forall @t8 (=> @t569 (tptp.c_Relation_Orefl__on @t83 @t568 @t350))) (tptp.c_Relation_Orefl__on @t83 (tptp.hAPP (tptp.hAPP @t172 @t40) @t26) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t22 (tptp.tc_fun @t155 tptp.tc_HOL_Obool)) @t40) @t82))))) % 1.01/1.21 (assume @p270 (forall @t526 (and (=> @t524 (= @t575 @t301)) (=> @t525 (= @t575 @t574))))) % 1.01/1.21 (assume @p271 (forall @t435 (=> @t580 (not @t576)))) % 1.01/1.21 (assume @p272 (forall @t435 (=> @t27 (=> @t28 @t580)))) % 1.01/1.21 (assume @p273 (forall @t508 (=> @t326 @t581))) % 1.01/1.21 (assume @p274 (forall @t508 (=> @t581 @t393))) % 1.01/1.21 (assume @p275 (forall @t237 (= (tptp.hAPP @t578 @t26) @t523))) % 1.01/1.21 (assume @p276 (forall @t237 (= (tptp.hAPP @t578 @t523) @t26))) % 1.01/1.21 (assume @p277 (forall @t237 (= (tptp.hAPP (tptp.hAPP @t577 @t523) @t26) @t523))) % 1.01/1.21 (assume @p278 (forall (@list @t41 @t22 @t83) (= (tptp.hAPP @t582 @t536) @t523))) % 1.01/1.21 (assume @p279 (forall @t238 (= (tptp.c_Transitive__Closure_Otrancl @t22 @t539) @t539))) % 1.01/1.21 (assume @p280 (forall (@list @t10 @t20 @t26 @t83 @t22) (=> (tptp.class_Groups_Ominus @t22) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t144) @t26) @t20) @t10) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t22) @t49) @t286))))) % 1.01/1.21 (assume @p281 (forall @t435 (=> @t580 @t28))) % 1.01/1.21 (assume @p282 (forall @t435 (=> @t580 @t27))) % 1.01/1.21 (assume @p283 (forall @t435 (= @t580 (and @t27 @t28)))) % 1.01/1.21 (assume @p284 (forall @t379 (=> @t378 (tptp.hBOOL (tptp.hAPP @t377 @t563))))) % 1.01/1.21 (assume @p285 (forall @t387 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t583) @t380))) % 1.01/1.21 (assume @p286 (forall @t387 (= (tptp.c_Transitive__Closure_Otrancl @t22 @t380) @t380))) % 1.01/1.21 (assume @p287 (forall @t197 (= @t585 @t584))) % 1.01/1.21 (assume @p288 (forall @t437 (= (tptp.hAPP @t586 @t20) @t579))) % 1.01/1.21 (assume @p289 (forall @t197 (= (tptp.c_Relation_ORange @t22 @t22 @t563) (tptp.c_Relation_ORange @t22 @t22 @t82)))) % 1.01/1.21 (assume @p290 (forall @t197 (= (tptp.c_Relation_ODomain @t22 @t22 @t563) (tptp.c_Relation_ODomain @t22 @t22 @t82)))) % 1.01/1.21 (assume @p291 (forall @t588 (= (tptp.hAPP @t587 @t579) (tptp.hAPP (tptp.hAPP @t577 (tptp.hAPP @t587 @t26)) (tptp.hAPP @t587 @t20))))) % 1.01/1.21 (assume @p292 (forall @t441 (= (tptp.hAPP (tptp.hAPP @t577 @t430) @t215) (tptp.hAPP @t429 (tptp.hAPP @t589 @t215))))) % 1.01/1.21 (assume @p293 (forall @t441 (= (tptp.hAPP (tptp.hAPP @t428 @t579) @t215) @t591))) % 1.01/1.21 (assume @p294 (forall (@list @t20 @t215 @t26 @t22) (= @t591 (tptp.hAPP @t590 @t20)))) % 1.01/1.21 (assume @p295 (forall @t447 (= @t593 @t592))) % 1.01/1.21 (assume @p296 (forall @t460 (= @t592 @t593))) % 1.01/1.21 (assume @p297 (forall (@list @t20 @t26 @t88 @t82 @t22 @t83) (= (tptp.hAPP @t564 @t221) (tptp.hAPP @t220 @t565)))) % 1.01/1.21 (assume @p298 (forall (@list @t21 @t41 @t57 @t54 @t22) (=> (tptp.hBOOL (tptp.hAPP @t208 @t41)) (=> (tptp.hBOOL (tptp.hAPP @t390 @t41)) (tptp.hBOOL (tptp.hAPP @t388 @t583)))))) % 1.01/1.21 (assume @p299 (forall @t394 (=> @t326 @t595))) % 1.01/1.21 (assume @p300 (forall @t394 (=> @t581 @t596))) % 1.01/1.21 (assume @p301 (forall @t394 (=> @t581 @t595))) % 1.01/1.21 (assume @p302 (forall @t237 (= (tptp.hAPP @t578 @t257) @t523))) % 1.01/1.21 (assume @p303 (forall @t437 (=> @t534 (= @t579 @t26)))) % 1.01/1.21 (assume @p304 (forall @t437 (= (tptp.hAPP @t429 (tptp.hAPP @t589 @t26)) @t523))) % 1.01/1.21 (assume @p305 (forall @t437 (= (tptp.hAPP (tptp.c_Relation_OImage @t22 @t22 @t207) @t20) @t430))) % 1.01/1.21 (assume @p306 (forall @t447 (= @t600 @t599))) % 1.01/1.21 (assume @p307 (forall @t455 (= @t599 @t600))) % 1.01/1.21 (assume @p308 (forall @t602 (= @t601 (exists @t8 (and @t180 @t256))))) % 1.01/1.21 (assume @p309 (forall (@list @t82 @t57 @t83 @t26 @t54 @t22) (=> @t56 (=> @t132 (tptp.hBOOL (tptp.hAPP @t170 @t603)))))) % 1.01/1.21 (assume @p310 (forall @t605 (= @t381 (or @t16 (and @t17 @t604))))) % 1.01/1.21 (assume @p311 (forall @t394 (=> @t326 @t606))) % 1.01/1.21 (assume @p312 (forall (@list @t41 @t57 @t54 @t22) (=> (tptp.hBOOL (tptp.hAPP @t208 @t380)) (or @t60 (and @t76 (tptp.hBOOL (tptp.hAPP @t208 @t583))))))) % 1.01/1.21 (assume @p313 (forall @t394 (=> @t393 @t596))) % 1.01/1.21 (assume @p314 (forall @t394 (=> @t581 @t606))) % 1.01/1.21 (assume @p315 (forall (@list @t96 @t82 @t9 @t10 @t22) (=> @t401 (=> (tptp.hBOOL (tptp.hAPP @t398 @t563)) (tptp.hBOOL (tptp.hAPP @t399 @t563)))))) % 1.01/1.21 (assume @p316 (forall @t386 (=> @t608 @t607))) % 1.01/1.21 (assume @p317 (forall @t386 (=> @t607 @t608))) % 1.01/1.21 (assume @p318 (forall @t610 (= @t609 (tptp.hBOOL (tptp.hAPP @t143 @t541))))) % 1.01/1.21 (assume @p319 (forall @t526 (and (=> @t524 (= @t612 (tptp.hAPP (tptp.hAPP @t572 @t301) @t20))) (=> @t525 (= @t612 @t611))))) % 1.01/1.21 (assume @p320 (forall @t526 (and (=> @t524 (= @t611 @t301)) (=> @t525 (= @t611 @t612))))) % 1.01/1.21 (assume @p321 (forall @t526 (and (=> @t524 (= @t574 @t26)) (=> @t525 (= @t574 @t575))))) % 1.01/1.21 (assume @p322 (forall (@list @t20 @t26 @t41 @t83 @t22) (=> (tptp.c_Relation_Osingle__valued @t22 @t83 (tptp.hAPP @t124 @t41)) (= (tptp.hAPP @t582 (tptp.hAPP @t520 @t20)) (tptp.hAPP (tptp.hAPP @t428 (tptp.hAPP @t582 @t26)) (tptp.hAPP @t582 @t20)))))) % 1.01/1.21 (assume @p323 (forall @t602 (=> @t601 (not (forall @t8 (=> @t256 (not @t180))))))) % 1.01/1.21 (assume @p324 (forall @t605 (=> @t604 (exists @t346 (and (tptp.hBOOL (tptp.hAPP @t614 @t41)) (tptp.hBOOL (tptp.hAPP @t613 @t380))))))) % 1.01/1.21 (assume @p325 (forall @t605 (=> @t604 (exists @t346 (and (tptp.hBOOL (tptp.hAPP @t614 @t380)) (tptp.hBOOL (tptp.hAPP @t613 @t41))))))) % 1.01/1.21 (assume @p326 (forall @t610 (not @t609))) % 1.01/1.21 (assume @p327 (forall (@list @t54 @t82 @t83 @t57 @t22) (= (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t564 @t618))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t121 @t615) @t82))))) % 1.01/1.21 (assume @p328 (forall @t237 (= @t207 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t337) @t26) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t22 @t337 @t337) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t193 (tptp.tc_fun @t337 @t337) @t22) @t619) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t22 @t22 @t193) @t190) @t297))) @t539))))) % 1.01/1.21 (assume @p329 (forall @t197 (= @t620 (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t195 @t563))))))) % 1.01/1.21 (assume @p330 (forall @t625 (=> (=> (not @t624) @t60) @t623))) % 1.01/1.21 (assume @p331 (forall @t627 (=> @t626 (=> @t76 @t56)))) % 1.01/1.21 (assume @p332 (forall (@list @t57 @t54 @t22) (=> (= @t630 @t628) @t60))) % 1.01/1.21 (assume @p333 (forall (@list @t631 @t21 @t57 @t54 @t22) (= (= (tptp.hAPP @t629 @t628) (tptp.hAPP (tptp.hAPP @t621 @t21) (tptp.hAPP (tptp.hAPP @t621 @t631) @t523))) (or (and @t632 (= @t57 @t631)) (and (= @t54 @t631) (= @t57 @t21)))))) % 1.01/1.21 (assume @p334 (forall @t634 (not (= @t633 @t523)))) % 1.01/1.21 (assume @p335 (forall @t634 (not (= @t523 @t633)))) % 1.01/1.21 (assume @p336 (forall @t385 (= (tptp.c_Wellfounded_Oacyclic @t22 (tptp.hAPP (tptp.hAPP @t619 @t360) @t82)) (and @t620 (not @t401))))) % 1.01/1.21 (assume @p337 (forall @t197 (= (tptp.c_Wellfounded_Oacyclic @t22 @t332) @t620))) % 1.01/1.21 (assume @p338 (forall @t637 (=> @t636 @t635))) % 1.01/1.21 (assume @p339 (forall @t637 (= @t636 @t635))) % 1.01/1.21 (assume @p340 (forall @t643 (and @t642 @t640))) % 1.01/1.21 (assume @p341 (forall @t648 (and @t647 @t646))) % 1.01/1.21 (assume @p342 (forall @t643 @t640)) % 1.01/1.21 (assume @p343 (forall @t648 @t646)) % 1.01/1.21 (assume @p344 (forall @t643 @t642)) % 1.01/1.21 (assume @p345 (forall @t648 @t647)) % 1.01/1.21 (assume @p346 (forall @t655 (and @t654 (=> @t653 (= @t652 (tptp.hAPP @t649 @t579)))))) % 1.01/1.21 (assume @p347 (forall @t655 @t654)) % 1.01/1.21 (assume @p348 (forall @t634 (=> @t56 (= @t633 @t26)))) % 1.01/1.21 (assume @p349 (forall @t625 (=> @t624 @t623))) % 1.01/1.21 (assume @p350 (forall @t656 (=> @t285 (=> @t653 (= (= @t650 (tptp.hAPP @t649 @t20)) @t30))))) % 1.01/1.21 (assume @p351 (forall @t627 (= @t626 (or @t60 @t56)))) % 1.01/1.21 (assume @p352 (forall (@list @t20 @t54 @t22) (tptp.hBOOL (tptp.hAPP @t55 @t638)))) % 1.01/1.21 (assume @p353 (forall @t53 (= (tptp.hAPP @t649 @t650) @t650))) % 1.01/1.21 (assume @p354 (forall @t211 (= (tptp.hAPP @t649 @t658) (tptp.hAPP @t657 @t650)))) % 1.01/1.21 (assume @p355 (forall (@list @t10 @t26 @t9 @t22) (= (tptp.hBOOL (tptp.hAPP @t658 @t10)) (or (= @t9 @t10) @t50)))) % 1.01/1.21 (assume @p356 (forall (@list @t82 @t57 @t54 @t22 @t83) (= (tptp.c_Relation_ORange @t83 @t22 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t120) @t615) @t82)) (tptp.hAPP @t622 @t247)))) % 1.01/1.22 (assume @p357 (forall @t130 (= (tptp.c_Relation_ODomain @t22 @t83 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t103) @t127) @t82)) (tptp.hAPP @t629 @t212)))) % 1.01/1.22 (assume @p358 (forall @t643 (= (tptp.hAPP (tptp.hAPP @t428 @t633) @t638) @t641))) % 1.01/1.22 (assume @p359 (forall (@list @t20 @t215 @t83 @t54 @t22) (= @t660 @t659))) % 1.01/1.22 (assume @p360 (forall (@list @t20 @t54 @t215 @t22 @t83) (= @t659 @t660))) % 1.01/1.22 (assume @p361 (forall @t634 (= @t662 @t633))) % 1.01/1.22 (assume @p362 (forall @t664 (= @t663 (tptp.hAPP (tptp.hAPP @t577 @t661) @t20)))) % 1.01/1.22 (assume @p363 (forall @t664 (= @t663 (tptp.hAPP @t586 @t630)))) % 1.01/1.22 (assume @p364 (forall @t668 (=> @t667 (= (tptp.hAPP @t168 @t665) (tptp.hAPP @t617 @t169))))) % 1.01/1.22 (assume @p365 (forall @t671 (and (=> @t524 (= @t670 @t536)) (=> @t525 (= @t670 @t669))))) % 1.01/1.22 (assume @p366 (forall @t237 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t43) @t26) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t22 @t43 @t43) @t621) @t523)) @t26))) % 1.01/1.22 (assume @p367 (forall @t671 (and (=> @t524 (= @t669 @t618)) (=> @t525 (= @t669 @t670))))) % 1.01/1.22 (assume @p368 (forall @t668 (=> @t667 (= (tptp.hAPP @t173 @t665) (tptp.hAPP @t617 @t174))))) % 1.01/1.22 (assume @p369 (forall (@list @t20 @t26 @t54 @t22 @t83) (= (tptp.hAPP (tptp.hAPP @t162 (tptp.hAPP @t617 @t26)) @t20) (tptp.hAPP (tptp.hAPP @t428 @t85) @t164)))) % 1.01/1.22 (assume @p370 (forall @t634 (=> @t56 (= @t662 @t26)))) % 1.01/1.22 (assume @p371 (forall @t53 (=> @t285 (= (tptp.hAPP @t651 @t672) @t26)))) % 1.01/1.22 (assume @p372 (forall (@list @t20 @t82 @t22 @t83) (= (tptp.hAPP @t564 @t20) (tptp.hAPP (tptp.hAPP @t182 @t20) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t108 @t43 @t83) @t564) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t83 @t108 @t108) @t616) @t536)))))) % 1.01/1.22 (assume @p373 (forall (@list @t365 @t83 @t22) (= (tptp.c_FuncSet_Oextensional__funcset @t22 @t83 @t523 @t365) @t673))) % 1.01/1.22 (assume @p374 (forall @t542 (= (tptp.c_FuncSet_Oextensional @t22 @t83 @t523) @t673))) % 1.01/1.22 (assume @p375 (forall @t277 (= (tptp.c_Set_Othe__elem @t22 @t672) @t10))) % 1.01/1.22 (assume @p376 (forall (@list @t9 @t96 @t2 @t83 @t26 @t10 @t22) (=> @t52 (=> (tptp.c_Nitpick_Ofold__graph_H @t22 @t83 @t2 @t96 (tptp.hAPP @t578 @t672) @t9) (tptp.c_Nitpick_Ofold__graph_H @t22 @t83 @t2 @t96 @t26 (tptp.hAPP @t81 @t9)))))) % 1.01/1.22 (assume @p377 (forall (@list @t10 @t40 @t2 @t83 @t365 @t54 @t22) (=> (tptp.hBOOL (tptp.hAPP @t55 @t365)) (=> (tptp.hBOOL (tptp.hAPP @t676 (tptp.c_FuncSet_Oextensional__funcset @t83 @t22 @t40 (tptp.hAPP (tptp.hAPP @t577 @t365) @t630)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t675 (tptp.c_Fun_Ofun__upd @t83 @t22 @t2 @t10 @t54)) @t674)))))) % 1.01/1.22 (assume @p378 (forall (@list @t96 @t2 @t83 @t22) (tptp.c_Nitpick_Ofold__graph_H @t22 @t83 @t2 @t96 @t523 @t96))) % 1.01/1.22 (assume @p379 (forall (@list @t243 @t244 @t83 @t22) (tptp.c_Nitpick_Ofold__graph_H @t22 @t83 @t244 @t243 @t523 @t243))) % 1.01/1.22 (assume @p380 (forall (@list @t10 @t40 @t2 @t83 @t365 @t9 @t22) (=> (tptp.hBOOL (tptp.hAPP @t62 @t365)) (=> (tptp.hBOOL (tptp.hAPP @t676 (tptp.c_FuncSet_Oextensional__funcset @t83 @t22 @t40 @t365))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t675 @t677) @t674)))))) % 1.01/1.22 (assume @p381 (forall (@list @t365 @t2 @t83 @t40 @t10 @t22) (=> @t364 (=> @t679 (tptp.hBOOL (tptp.hAPP @t678 @t366)))))) % 1.01/1.22 (assume @p382 (forall (@list @t10 @t2 @t83 @t22) (= (tptp.c_Fun_Ofun__upd @t22 @t83 @t2 @t10 @t81) @t2))) % 1.01/1.22 (assume @p383 (forall (@list @t365 @t83 @t10 @t2 @t40 @t22) (=> (forall @t8 (=> @t569 (not (= @t81 @t6)))) (=> @t679 (tptp.hBOOL (tptp.hAPP @t678 (tptp.c_FuncSet_Oextensional__funcset @t22 @t83 @t40 (tptp.hAPP (tptp.hAPP @t572 @t365) (tptp.hAPP (tptp.hAPP @t616 @t81) @t536))))))))) % 1.01/1.22 (assume @p384 (forall (@list @t22 @t83 @t9 @t10 @t2) (=> @t680 (= @t677 @t2)))) % 1.01/1.22 (assume @p385 (forall @t686 @t685)) % 1.01/1.22 (assume @p386 (forall (@list @t631 @t57 @t687 @t83 @t22 @t21 @t54) (=> (not @t632) (= (tptp.c_Fun_Ofun__upd @t22 @t83 (tptp.c_Fun_Ofun__upd @t22 @t83 @t687 @t54 @t57) @t21 @t631) (tptp.c_Fun_Ofun__upd @t22 @t83 (tptp.c_Fun_Ofun__upd @t22 @t83 @t687 @t21 @t631) @t54 @t57))))) % 1.01/1.22 (assume @p387 (forall @t686 (and (=> @t684 (= @t683 @t9)) @t685))) % 1.01/1.22 (assume @p388 (forall (@list @t9 @t10 @t2 @t22 @t83) (= (tptp.hAPP @t677 @t10) @t9))) % 1.01/1.22 (assume @p389 (forall (@list @t96 @t9 @t10 @t2 @t83 @t22) (= (tptp.c_Fun_Ofun__upd @t22 @t83 @t682 @t10 @t96) (tptp.c_Fun_Ofun__upd @t22 @t83 @t2 @t10 @t96)))) % 1.01/1.22 (assume @p390 (forall (@list @t9 @t10 @t2 @t83 @t22) (= (= @t682 @t2) @t680))) % 1.01/1.22 (assume @p391 (forall (@list @t57 @t2 @t83 @t22 @t54 @t10) (and (=> @t71 (= @t688 @t57)) (=> @t72 (= @t688 @t81))))) % 1.01/1.22 (assume @p392 (forall (@list @t691 @t244 @t243 @t689 @t690 @t83 @t22) (= (tptp.c_Nitpick_Ofold__graph_H @t22 @t83 @t690 @t689 @t243 @t692) (or (and (= @t243 @t523) (= @t692 @t689)) (exists @t205 (and (= @t692 (tptp.hAPP (tptp.hAPP @t690 @t4) @t202)) (tptp.hBOOL (tptp.hAPP @t115 @t243)) (tptp.c_Nitpick_Ofold__graph_H @t22 @t83 @t690 @t689 (tptp.hAPP (tptp.hAPP @t577 @t243) (tptp.hAPP (tptp.hAPP @t621 @t4) @t523)) @t202))))))) % 1.01/1.22 (assume @p393 (forall (@list @t57 @t54 @t10 @t82 @t26 @t22) (=> @t696 (=> (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP @t428 @t695) @t694))) @t326)))) % 1.01/1.22 (assume @p394 (forall @t533 (=> @t696 (=> @t56 (tptp.hBOOL (tptp.hAPP @t55 @t695)))))) % 1.01/1.22 (assume @p395 (forall (@list @t57 @t54 @t82 @t26 @t22) (=> @t696 (=> @t326 @t697)))) % 1.01/1.22 (assume @p396 (forall @t562 (=> @t696 (= @t561 (and @t699 @t52 @t63))))) % 1.01/1.22 (assume @p397 (forall @t562 (=> @t696 (=> @t52 (=> @t63 (= @t699 @t561)))))) % 1.01/1.22 (assume @p398 (forall (@list @t26 @t57 @t54 @t82 @t22) (=> @t697 (=> @t696 @t700)))) % 1.01/1.22 (assume @p399 (forall (@list @t243 @t244 @t2 @t88 @t701 @t705 @t83 @t704 @t706 @t22) (=> @t709 (=> @t708 (=> @t707 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t244) @t706)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t243) @t705)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t89) (tptp.hAPP (tptp.c_Relation_OImage @t22 @t22 @t704) (tptp.hAPP (tptp.hAPP @t621 @t244) @t523))) (tptp.hAPP (tptp.hAPP @t703 (tptp.hAPP @t228 (tptp.hAPP @t702 (tptp.hAPP (tptp.hAPP @t616 @t243) @t536)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t244) @t243))))))))) % 1.01/1.22 (assume @p400 (forall (@list @t54 @t2 @t83 @t82 @t26 @t22) (=> @t696 (=> (tptp.c_Equiv__Relations_Ocongruent @t22 @t108 @t82 @t2) (=> @t56 (= (tptp.hAPP (tptp.hAPP @t167 @t695) @t2) @t710)))))) % 1.01/1.22 (assume @p401 (forall (@list @t54 @t2 @t701 @t88 @t83 @t704 @t26 @t22) (=> (tptp.c_Equiv__Relations_Oequiv @t22 @t26 @t704) (=> @t711 (=> @t56 (tptp.c_Equiv__Relations_Ocongruent @t83 @t88 @t701 @t710)))))) % 1.01/1.22 (assume @p402 (forall (@list @t712 @t714 @t713 @t715 @t2 @t701 @t704 @t88 @t83 @t22) (=> @t711 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.hAPP (tptp.hAPP @t190 @t715) @t713)) @t704)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 (tptp.hAPP (tptp.hAPP @t154 @t714) @t712)) @t701)) (= (tptp.hAPP (tptp.hAPP @t2 @t715) @t714) (tptp.hAPP (tptp.hAPP @t2 @t713) @t712))))))) % 1.01/1.22 (assume @p403 (forall (@list @t96 @t9 @t2 @t82 @t83 @t22) (=> (tptp.c_Equiv__Relations_Ocongruent @t22 @t83 @t82 @t2) (=> (tptp.hBOOL (tptp.hAPP @t398 @t82)) (= @t80 @t681))))) % 1.01/1.22 (assume @p404 (forall (@list @t54 @t2 @t88 @t701 @t705 @t83 @t704 @t706 @t22) (=> @t709 (=> @t708 (=> @t707 (=> (tptp.hBOOL (tptp.hAPP @t159 @t705)) (tptp.c_Equiv__Relations_Ocongruent @t22 @t89 @t704 (tptp.hAPP (tptp.hAPP @t703 (tptp.hAPP @t228 (tptp.hAPP @t702 @t618))) @t2)))))))) % 1.01/1.22 (assume @p405 (forall @t562 (=> @t696 (=> @t52 (=> @t63 (= (= (tptp.c_Equiv__Relations_Oquotient @t22 @t672 @t82) (tptp.c_Equiv__Relations_Oquotient @t22 @t698 @t82)) @t561)))))) % 1.01/1.22 (assume @p406 (forall (@list @t54 @t57 @t82 @t26 @t22) (=> @t696 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t694 @t695) @t700)))) % 1.01/1.22 (assume @p407 (forall @t476 (=> @t716 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t474)))) % 1.01/1.22 (assume @p408 (forall @t437 (=> @t718 (=> @t717 @t30)))) % 1.01/1.22 (assume @p409 (forall (@list @t21 @t20 @t26 @t22) (=> @t718 @t576))) % 1.01/1.22 (assume @p410 (forall @t237 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t523 @t26))) % 1.01/1.22 (assume @p411 (forall (@list @t20 @t26 @t88 @t82 @t83 @t22) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t567 @t566))) % 1.01/1.22 (assume @p412 (forall @t335 (=> @t334 (=> @t718 (tptp.hBOOL (tptp.hAPP @t292 (tptp.c_FuncSet_Oextensional @t22 @t83 @t20))))))) % 1.01/1.22 (assume @p413 (forall (@list @t546 @t26 @t31 @t22 @t83) (=> @t550 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t31) @t26)) (tptp.c_Orderings_Oord__class_Oless__eq @t83 (tptp.hAPP @t557 @t546) (tptp.hAPP @t546 @t31)))))) % 1.01/1.22 (assume @p414 (forall (@list @t20 @t83 @t26 @t54 @t22) (=> @t56 (tptp.c_Orderings_Oord__class_Oless__eq @t108 @t85 @t169)))) % 1.01/1.22 (assume @p415 (forall (@list @t82 @t198 @t22) (=> (tptp.c_Wellfounded_Oacyclic @t22 @t198) (=> @t719 @t620)))) % 1.01/1.22 (assume @p416 (forall (@list @t26 @t720 @t82 @t721 @t83 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t105 @t721 @t82) (=> @t722 (tptp.c_Orderings_Oord__class_Oless__eq @t108 (tptp.hAPP (tptp.c_Relation_OImage @t22 @t83 @t721) @t720) @t603))))) % 1.01/1.22 (assume @p417 (forall @t724 (=> @t723 (=> (tptp.c_Relation_Osingle__valued @t22 @t83 @t198) @t470)))) % 1.01/1.22 (assume @p418 (forall @t47 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t46 @t45) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t41 @t40)))) % 1.01/1.22 (assume @p419 (forall (@list @t666 @t546 @t26 @t83 @t22) (=> @t138 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.hAPP @t140 @t546) @t666) (forall @t8 (=> @t180 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t725 @t666))))))) % 1.01/1.22 (assume @p420 (forall (@list @t20 @t26 @t456 @t83 @t22) (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t458 @t20) (forall @t8 (=> @t726 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t568 @t20)))))) % 1.01/1.22 (assume @p421 (forall (@list @t546 @t26 @t83 @t666 @t22) (=> @t138 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t666 (tptp.hAPP @t136 @t546)) (forall @t8 (=> @t180 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t666 @t725))))))) % 1.01/1.22 (assume @p422 (forall @t459 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t20 @t464) (forall @t8 (=> @t726 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t20 @t568)))))) % 1.01/1.22 (assume @p423 (forall @t730 (=> @t485 (=> @t729 (not (=> @t728 (not @t727))))))) % 1.01/1.22 (assume @p424 (forall (@list @t731 @t486 @t496 @t483 @t22) (=> @t485 (=> @t732 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t486 @t731) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t488 (tptp.hAPP (tptp.hAPP @t472 @t496) @t731))))))) % 1.01/1.22 (assume @p425 (forall @t503 (=> @t485 (=> @t734 (=> @t733 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t500)))))) % 1.01/1.22 (assume @p426 (forall @t730 (=> @t485 (=> @t728 (=> @t727 @t729))))) % 1.01/1.22 (assume @p427 (forall @t736 (=> @t485 (=> @t735 (= @t492 @t490))))) % 1.01/1.22 (assume @p428 (forall @t494 (=> @t485 (=> @t734 (= @t492 @t474))))) % 1.01/1.22 (assume @p429 (forall (@list @t483 @t474 @t486 @t22) (=> @t485 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t486 @t474) @t737)))) % 1.01/1.22 (assume @p430 (forall (@list @t486 @t474 @t483 @t22) (=> @t485 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t483 @t474) @t737)))) % 1.01/1.22 (assume @p431 (forall (@list @t96 @t9 @t10 @t22) (=> @t485 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t10 (tptp.hAPP (tptp.hAPP @t472 @t9) @t96)) (and @t738 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t10 @t96)))))) % 1.01/1.22 (assume @p432 (forall @t65 (=> @t485 (= @t738 (= @t478 @t10))))) % 1.01/1.22 (assume @p433 (forall @t494 (=> @t485 @t739))) % 1.01/1.22 (assume @p434 (forall @t494 (=> @t473 @t739))) % 1.01/1.22 (assume @p435 (forall @t494 (=> @t485 @t740))) % 1.01/1.22 (assume @p436 (forall @t494 (=> @t473 @t740))) % 1.01/1.22 (assume @p437 (forall (@list @t320 @t20 @t215 @t26 @t22) (=> @t741 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t20 @t320) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t430 (tptp.hAPP @t587 @t320)))))) % 1.01/1.22 (assume @p438 (forall @t588 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t215 @t26) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t215 @t20) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t215 @t430))))) % 1.01/1.22 (assume @p439 (forall (@list @t26 @t20 @t22) (=> @t717 (= @t430 @t20)))) % 1.01/1.22 (assume @p440 (forall @t437 (=> @t718 (= @t430 @t26)))) % 1.01/1.22 (assume @p441 (forall @t437 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t430 @t20))) % 1.01/1.22 (assume @p442 (forall @t437 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t430 @t26))) % 1.01/1.22 (assume @p443 (forall @t744 (=> @t719 @t743))) % 1.01/1.22 (assume @p444 (forall @t47 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t41 @t40) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t40 @t380) (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t40) @t380))))) % 1.01/1.22 (assume @p445 (forall @t744 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t82 @t742) @t743))) % 1.01/1.22 (assume @p446 (forall (@list @t746 @t745 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t745 @t746) (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.c_Wellfounded_Oacc @t22 @t746) (tptp.c_Wellfounded_Oacc @t22 @t745))))) % 1.01/1.22 (assume @p447 (forall @t494 (=> @t747 (=> (not @t734) @t735)))) % 1.01/1.22 (assume @p448 (forall (@list @t10 @t1 @t2 @t22 @t83) (=> @t749 (=> @t748 (tptp.c_Orderings_Oord__class_Oless__eq @t83 @t81 @t471))))) % 1.01/1.22 (assume @p449 (forall (@list @t499 @t474 @t490 @t22) (=> @t750 (=> @t735 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t499 @t490) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t499 @t474)))))) % 1.01/1.22 (assume @p450 (forall @t736 (=> @t750 (=> @t735 (=> @t734 @t751))))) % 1.01/1.22 (assume @p451 (forall @t503 (=> @t716 (=> @t734 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t490 @t499) @t733))))) % 1.01/1.22 (assume @p452 (forall @t494 (=> @t750 (=> @t734 (=> @t735 @t751))))) % 1.01/1.22 (assume @p453 (forall @t498 (=> @t750 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t486 @t483) (=> @t753 @t752))))) % 1.01/1.22 (assume @p454 (forall @t504 (=> @t754 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t483 @t486) (=> @t753 @t732))))) % 1.01/1.22 (assume @p455 (forall @t504 (=> @t750 (=> @t755 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t496 @t486) @t752))))) % 1.01/1.22 (assume @p456 (forall @t504 (=> @t754 (=> @t755 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t486 @t496) @t732))))) % 1.01/1.22 (assume @p457 (forall (@list @t10 @t9 @t22) (=> @t750 (=> @t756 (= @t738 @t16))))) % 1.01/1.22 (assume @p458 (forall @t494 (=> @t716 (=> @t751 @t734)))) % 1.01/1.22 (assume @p459 (forall @t65 (=> @t750 (= @t16 (and @t738 @t756))))) % 1.01/1.22 (assume @p460 (forall @t494 (=> @t747 (or @t734 @t735)))) % 1.01/1.22 (assume @p461 (forall (@list @t1 @t2 @t22 @t83) (=> @t749 (= @t748 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t83 @t6 @t5)))))) % 1.01/1.22 (assume @p462 (forall @t757 (=> @t550 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t83 (tptp.hAPP @t549 @t2) (tptp.hAPP (tptp.hAPP @t548 @t20) @t2)))))) % 1.01/1.22 (assume @p463 (forall @t724 (=> @t723 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t212 (tptp.c_Relation_ODomain @t22 @t83 @t198))))) % 1.01/1.22 (assume @p464 (forall @t757 (=> @t550 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t83 (tptp.hAPP (tptp.hAPP @t556 @t20) @t2) (tptp.hAPP @t557 @t2)))))) % 1.01/1.22 (assume @p465 (forall @t758 (=> @t30 (not (=> @t718 (not @t717)))))) % 1.01/1.22 (assume @p466 (forall @t441 (=> @t718 (=> @t759 @t741)))) % 1.01/1.22 (assume @p467 (forall (@list @t10 @t760 @t150 @t22) (=> @t762 (=> @t157 @t761)))) % 1.01/1.22 (assume @p468 (forall @t758 (=> @t30 @t717))) % 1.01/1.22 (assume @p469 (forall @t758 (=> @t30 @t718))) % 1.01/1.22 (assume @p470 (forall (@list @t760 @t22 @t10 @t150) (=> @t157 (=> @t762 @t761)))) % 1.01/1.22 (assume @p471 (forall @t758 (= @t30 (and @t718 @t717)))) % 1.01/1.22 (assume @p472 (forall @t237 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t26 @t26))) % 1.01/1.22 (assume @p473 (forall (@list @t20 @t83 @t26 @t720 @t22) (=> @t722 (tptp.c_Orderings_Oord__class_Oless__eq @t299 @t289 (tptp.c_FuncSet_OPi @t22 @t83 @t720 @t20))))) % 1.01/1.22 (assume @p474 (forall @t237 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t26 @t257))) % 1.01/1.22 (assume @p475 (forall @t476 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t474 @t302)))) % 1.01/1.22 (assume @p476 (forall @t433 (=> @t718 (=> @t52 @t64)))) % 1.01/1.22 (assume @p477 (forall @t656 (=> @t52 (=> @t718 @t64)))) % 1.01/1.22 (assume @p478 (forall @t441 (=> @t718 (=> @t759 (= (tptp.hAPP @t589 (tptp.hAPP @t763 @t26)) @t26))))) % 1.01/1.22 (assume @p479 (forall (@list @t20 @t320 @t215 @t26 @t22) (=> @t741 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t320 @t20) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t579 (tptp.hAPP @t763 @t320)))))) % 1.01/1.22 (assume @p480 (forall @t437 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t579 @t26))) % 1.01/1.22 (assume @p481 (forall (@list @t20 @t22 @t26) (=> (= @t26 @t539) (tptp.c_Orderings_Oord__class_Oless__eq @t337 @t26 @t20)))) % 1.01/1.22 (assume @p482 (forall @t237 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t26 @t523) @t543))) % 1.01/1.22 (assume @p483 (forall @t476 (=> @t538 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t537 @t474)))) % 1.01/1.22 (assume @p484 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p485 (forall @t768 (=> @t767 (tptp.class_Lattices_Obounded__lattice @t766)))) % 1.01/1.22 (assume @p486 (forall @t768 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t764) (tptp.class_Complete__Lattice_Ocomplete__lattice @t766)))) % 1.01/1.22 (assume @p487 (forall @t768 (=> @t767 (tptp.class_Lattices_Obounded__lattice__top @t766)))) % 1.01/1.22 (assume @p488 (forall @t768 (=> @t767 (tptp.class_Lattices_Obounded__lattice__bot @t766)))) % 1.01/1.22 (assume @p489 (forall @t768 (=> @t769 (tptp.class_Lattices_Osemilattice__inf @t766)))) % 1.01/1.22 (assume @p490 (forall @t768 (=> (tptp.class_Orderings_Opreorder @t764) (tptp.class_Orderings_Opreorder @t766)))) % 1.01/1.22 (assume @p491 (forall @t768 (=> @t769 (tptp.class_Lattices_Olattice @t766)))) % 1.01/1.22 (assume @p492 (forall @t768 (=> (tptp.class_Orderings_Oorder @t764) (tptp.class_Orderings_Oorder @t766)))) % 1.01/1.22 (assume @p493 (forall @t768 (=> (tptp.class_Orderings_Otop @t764) (tptp.class_Orderings_Otop @t766)))) % 1.01/1.22 (assume @p494 (forall @t768 (=> (tptp.class_Orderings_Oord @t764) (tptp.class_Orderings_Oord @t766)))) % 1.01/1.22 (assume @p495 (forall @t768 (=> (tptp.class_Orderings_Obot @t764) (tptp.class_Orderings_Obot @t766)))) % 1.01/1.22 (assume @p496 (forall @t768 (=> (tptp.class_Groups_Ominus @t764) (tptp.class_Groups_Ominus @t766)))) % 1.01/1.22 (assume @p497 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p498 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p499 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p500 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p501 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p502 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p503 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p504 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p505 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p506 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p507 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.01/1.22 (assume @p508 (forall (@list @t770 @t22) (= (tptp.hAPP @t297 @t770) @t770))) % 1.01/1.22 (assume @p509 @t773) % 1.01/1.22 (assume @p510 (forall (@list @t41 @t760 @t150 @t88 @t22 @t83) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t83 @t22 @t88) @t150) @t760) @t41) (tptp.hAPP @t150 @t774)))) % 1.01/1.22 (assume @p511 (forall @t776 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t133 @t150) @t760) @t41) (tptp.hAPP @t775 @t760)))) % 1.01/1.22 (assume @p512 (forall @t776 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t83 @t88 @t22) @t150) @t760) @t41) (tptp.hAPP @t775 @t774)))) % 1.01/1.22 (assume @p513 (forall @t778 (or (not @t777) @t16))) % 1.01/1.22 (assume @p514 (forall @t778 (or @t17 @t777))) % 1.01/1.22 (assume @p515 (forall @t781 (or (not @t780) @t779))) % 1.01/1.22 (assume @p516 (forall @t781 (or (not @t779) @t780))) % 1.01/1.22 (assume @p517 @t782) % 1.01/1.22 (assume @p518 (not (tptp.hBOOL (tptp.hAPP @t784 tptp.c_Arrow__Order__Mirabelle_OProf)))) % 1.01/1.22 (assume @p519 true) % 1.01/1.22 (step @p520 :rule instantiate :premises (@p10) :args ((@list tptp.c_Arrow__Order__Mirabelle_OLin tptp.v_L @t13))) % 1.01/1.22 (step @p521 :rule cnf_equiv_pos1 :args (@t786)) % 1.01/1.22 (step @p522 :rule reordering :premises (@p521) :args ((or (not @t782) @t785 (not @t786)))) % 1.01/1.22 (step @p523 :rule chain_m_resolution :premises (@p522 @p517 @p520) :args (@t785 (@list false false) (@list @t782 @t786))) % 1.01/1.22 (step @p524 :rule eq-symm :args (@t772 @t770)) % 1.01/1.22 (step @p525 :rule cong :premises (@p524) :args (@t773)) % 1.01/1.22 (step @p526 :rule eq_resolve :premises (@p509 @p525)) % 1.01/1.22 (step @p527 :rule instantiate :premises (@p526) :args ((@list @t789 tptp.c_Arrow__Order__Mirabelle_OLin tptp.tc_Arrow__Order__Mirabelle_Oindi @t272))) % 1.01/1.22 (step @p528 :rule instantiate :premises (@p526) :args ((@list @t789 tptp.v_L tptp.tc_Arrow__Order__Mirabelle_Oindi @t13))) % 1.01/1.22 (step @p529 :rule instantiate :premises (@p10) :args ((@list @t791 @t790 @t13))) % 1.01/1.22 (step @p530 :rule bool-impl-elim :args (@t792 @t293)) % 1.01/1.22 (step @p531 :rule cong :premises (@p530) :args ((forall @t312 (=> @t792 @t293)))) % 1.01/1.22 (step @p532 :rule refl :args (@t293)) % 1.01/1.22 (step @p533 :rule bool-impl-elim :args (@t116 @t309)) % 1.01/1.22 (step @p534 :rule cong :premises (@p533) :args (@t310)) % 1.01/1.22 (step @p535 :rule cong :premises (@p534 @p532) :args (@t311)) % 1.01/1.22 (step @p536 :rule cong :premises (@p535) :args (@t313)) % 1.01/1.22 (step @p537 :rule trans :premises (@p536 @p531)) % 1.01/1.22 (step @p538 :rule eq_resolve :premises (@p108 @p537)) % 1.01/1.22 (step @p539 :rule instantiate :premises (@p538) :args ((@list @t305 @t783 @t13 @t306 tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 1.01/1.22 (step @p540 :rule false_intro :premises (@p518)) % 1.01/1.22 (step @p541 :rule symm :premises (@p107)) % 1.01/1.22 (step @p542 :rule refl :args (@t784)) % 1.01/1.22 (step @p543 :rule cong :premises (@p542 @p541) :args (@t793)) % 1.01/1.22 (step @p544 :rule cong :premises (@p543) :args (@t794)) % 1.01/1.22 (step @p545 :rule trans :premises (@p544 @p540)) % 1.01/1.22 (step @p546 :rule false_elim :premises (@p545)) % 1.01/1.22 (step @p547 :rule cnf_or_pos :args (@t796)) % 1.01/1.22 (step @p548 :rule reordering :premises (@p547) :args ((or @t795 @t794 (not @t796)))) % 1.01/1.22 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p539) :args (@t795 @t797 (@list @t794 @t796))) % 1.01/1.22 (step @p550 :rule skolemize :premises (@p549)) % 1.01/1.22 (step @p551 :rule cnf_or_neg :args (@t799 1)) % 1.01/1.22 (step @p552 :rule chain_m_resolution :premises (@p551 @p550) :args ((not @t798) (@list true) (@list @t799))) % 1.01/1.22 (step @p553 :rule cnf_equiv_pos2 :args (@t802)) % 1.01/1.22 (step @p554 :rule reordering :premises (@p553) :args ((or @t798 @t803 (not @t802)))) % 1.01/1.22 (step @p555 :rule chain_m_resolution :premises (@p554 @p552 @p529) :args (@t803 @t797 (@list @t798 @t802))) % 1.01/1.22 (assume-push @p575 @t785) % 1.01/1.22 (assume-push @p576 @t804) % 1.01/1.22 (assume-push @p577 @t805) % 1.01/1.22 (step @p559 :rule true_intro :premises (@p523)) % 1.01/1.22 (step @p560 :rule symm :premises (@p528)) % 1.01/1.22 (step @p561 :rule symm :premises (@p527)) % 1.01/1.22 (step @p562 :rule cong :premises (@p561 @p560) :args (@t800)) % 1.01/1.22 (step @p563 :rule cong :premises (@p562) :args (@t801)) % 1.01/1.22 (step @p564 :rule trans :premises (@p563 @p559)) % 1.01/1.22 (step @p565 :rule true_elim :premises (@p564)) % 1.01/1.22 (step-pop @p578 :rule scope :premises (@p565)) % 1.01/1.22 (step-pop @p579 :rule scope :premises (@p578)) % 1.01/1.22 (step-pop @p580 :rule scope :premises (@p579)) % 1.01/1.22 (step @p566 :rule process_scope :premises (@p580) :args (@t801)) % 1.01/1.22 (step @p570 :rule implies_elim :premises (@p566)) % 1.01/1.22 (step @p571 :rule cnf_and_neg :args (@t806)) % 1.01/1.22 (step @p572 :rule resolution :premises (@p571 @p570) :args (true @t806)) % 1.01/1.22 (step @p573 :rule reordering :premises (@p572) :args ((or (not @t785) @t801 (not @t804) (not @t805)))) % 1.01/1.22 (step @p574 false :rule chain_m_resolution :premises (@p573 @p555 @p528 @p527 @p523) :args (false (@list true false false false) (@list @t801 @t805 @t804 @t785))) % 1.01/1.22 ) % 1.01/1.22 % SZS output end Proof % 1.01/1.22 % cvc5 exiting %------------------------------------------------------------------------------