%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT083-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:46:16 AM UTC 2026 % Result : Unsatisfiable 1.12s 1.35s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT083-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 14:24:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.42/0.71 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.35 % SZS status Unsatisfiable % 1.12/1.35 % SZS output start Proof % 1.12/1.37 ( % 1.12/1.37 (declare-sort $$unsorted 0) % 1.12/1.37 (declare-const tptp.v_Lab____ $$unsorted) % 1.12/1.37 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 $$unsorted) % 1.12/1.37 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Record_Oiso__tuple__update__accessor__cong__assist (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.12/1.37 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.v_sko__local__X4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_F $$unsorted) % 1.12/1.37 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.12/1.37 (declare-const tptp.c_FuncSet_Osko__FuncSet__XrestrictI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.12/1.37 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_FuncSet_Osko__FuncSet__XextensionalityI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_sko__local__X3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.v_sko__local__Xpairwise__neutrality__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_sko__local__X2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_nat $$unsorted) % 1.12/1.37 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_bool $$unsorted) % 1.12/1.37 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (define @t1 () (@var "V_a" $$unsorted)) % 1.12/1.37 (define @t2 () (@var "V_x" $$unsorted)) % 1.12/1.37 (define @t3 () (@var "T_a" $$unsorted)) % 1.12/1.37 (define @t4 () (tptp.c_lessequals @t3)) % 1.12/1.37 (define @t5 () (tptp.hAPP @t4 @t2)) % 1.12/1.37 (define @t6 () (tptp.hBOOL (tptp.hAPP @t5 @t1))) % 1.12/1.37 (define @t7 () (not @t6)) % 1.12/1.37 (define @t8 () (@var "V_b" $$unsorted)) % 1.12/1.37 (define @t9 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3)) % 1.12/1.37 (define @t10 () (tptp.hAPP @t9 @t1)) % 1.12/1.37 (define @t11 () (tptp.hAPP @t10 @t8)) % 1.12/1.37 (define @t12 () (tptp.hBOOL (tptp.hAPP @t5 @t11))) % 1.12/1.37 (define @t13 () (not (tptp.class_Lattices_Oupper__semilattice @t3))) % 1.12/1.37 (define @t14 () (@list @t3 @t2 @t1 @t8)) % 1.12/1.37 (define @t15 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t11) @t2))) % 1.12/1.37 (define @t16 () (not @t15)) % 1.12/1.37 (define @t17 () (tptp.hAPP @t4 @t8)) % 1.12/1.37 (define @t18 () (tptp.hBOOL (tptp.hAPP @t17 @t2))) % 1.12/1.37 (define @t19 () (tptp.hAPP @t4 @t1)) % 1.12/1.37 (define @t20 () (tptp.hBOOL (tptp.hAPP @t19 @t2))) % 1.12/1.37 (define @t21 () (@var "V_C" $$unsorted)) % 1.12/1.37 (define @t22 () (@var "V_B" $$unsorted)) % 1.12/1.37 (define @t23 () (@var "V_A" $$unsorted)) % 1.12/1.37 (define @t24 () (tptp.tc_fun @t3 tptp.tc_bool)) % 1.12/1.37 (define @t25 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24)) % 1.12/1.37 (define @t26 () (tptp.hAPP @t25 @t23)) % 1.12/1.37 (define @t27 () (tptp.hAPP @t26 @t22)) % 1.12/1.37 (define @t28 () (tptp.c_lessequals @t24)) % 1.12/1.37 (define @t29 () (tptp.hAPP @t28 @t27)) % 1.12/1.37 (define @t30 () (tptp.hBOOL (tptp.hAPP @t29 @t21))) % 1.12/1.37 (define @t31 () (not @t30)) % 1.12/1.37 (define @t32 () (tptp.hAPP @t28 @t23)) % 1.12/1.37 (define @t33 () (tptp.hBOOL (tptp.hAPP @t32 @t21))) % 1.12/1.37 (define @t34 () (@list @t3 @t23 @t21 @t22)) % 1.12/1.37 (define @t35 () (tptp.hAPP @t28 @t22)) % 1.12/1.37 (define @t36 () (tptp.hBOOL (tptp.hAPP @t35 @t21))) % 1.12/1.37 (define @t37 () (@list @t3 @t22 @t21 @t23)) % 1.12/1.37 (define @t38 () (@var "V_y" $$unsorted)) % 1.12/1.37 (define @t39 () (tptp.hAPP @t4 @t38)) % 1.12/1.37 (define @t40 () (tptp.hBOOL (tptp.hAPP @t39 @t2))) % 1.12/1.37 (define @t41 () (not @t40)) % 1.12/1.37 (define @t42 () (@var "V_z" $$unsorted)) % 1.12/1.37 (define @t43 () (tptp.hAPP @t4 @t42)) % 1.12/1.37 (define @t44 () (not (tptp.hBOOL (tptp.hAPP @t43 @t38)))) % 1.12/1.37 (define @t45 () (tptp.hBOOL (tptp.hAPP @t43 @t2))) % 1.12/1.37 (define @t46 () (not (tptp.class_Orderings_Oorder @t3))) % 1.12/1.37 (define @t47 () (@list @t3 @t42 @t2 @t38)) % 1.12/1.37 (define @t48 () (tptp.c_HOL_Oord__class_Oless @t3)) % 1.12/1.37 (define @t49 () (tptp.hAPP @t48 @t38)) % 1.12/1.37 (define @t50 () (tptp.hBOOL (tptp.hAPP @t49 @t2))) % 1.12/1.37 (define @t51 () (not @t50)) % 1.12/1.37 (define @t52 () (tptp.hAPP @t48 @t42)) % 1.12/1.37 (define @t53 () (tptp.hBOOL (tptp.hAPP @t52 @t2))) % 1.12/1.37 (define @t54 () (not (tptp.hBOOL (tptp.hAPP @t52 @t38)))) % 1.12/1.37 (define @t55 () (tptp.hBOOL (tptp.hAPP @t5 @t38))) % 1.12/1.37 (define @t56 () (not @t55)) % 1.12/1.37 (define @t57 () (tptp.hBOOL (tptp.hAPP @t39 @t42))) % 1.12/1.37 (define @t58 () (not @t57)) % 1.12/1.37 (define @t59 () (tptp.hBOOL (tptp.hAPP @t5 @t42))) % 1.12/1.37 (define @t60 () (not (tptp.class_Orderings_Opreorder @t3))) % 1.12/1.37 (define @t61 () (@list @t3 @t2 @t42 @t38)) % 1.12/1.37 (define @t62 () (@list @t3 @t2)) % 1.12/1.37 (define @t63 () (@list @t3 @t23)) % 1.12/1.37 (define @t64 () (tptp.hBOOL (tptp.hAPP @t32 @t22))) % 1.12/1.37 (define @t65 () (not @t64)) % 1.12/1.37 (define @t66 () (not @t36)) % 1.12/1.37 (define @t67 () (@var "T_b" $$unsorted)) % 1.12/1.37 (define @t68 () (@var "V_f" $$unsorted)) % 1.12/1.37 (define @t69 () (tptp.c_Fun_Oinj__on @t68 @t22 @t3 @t67)) % 1.12/1.37 (define @t70 () (not @t69)) % 1.12/1.37 (define @t71 () (tptp.c_Fun_Oinj__on @t68 @t23 @t3 @t67)) % 1.12/1.37 (define @t72 () (@list @t68 @t23 @t3 @t67 @t22)) % 1.12/1.37 (define @t73 () (@var "V_Q" $$unsorted)) % 1.12/1.37 (define @t74 () (@var "V_P" $$unsorted)) % 1.12/1.37 (define @t75 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t74) @t73)))) % 1.12/1.37 (define @t76 () (tptp.hBOOL (tptp.hAPP @t74 @t2))) % 1.12/1.37 (define @t77 () (not @t76)) % 1.12/1.37 (define @t78 () (tptp.hBOOL (tptp.hAPP @t73 @t2))) % 1.12/1.37 (define @t79 () (tptp.hBOOL (tptp.hAPP @t5 @t8))) % 1.12/1.37 (define @t80 () (not @t79)) % 1.12/1.37 (define @t81 () (tptp.hAPP @t9 @t2)) % 1.12/1.37 (define @t82 () (tptp.hAPP @t81 @t38)) % 1.12/1.37 (define @t83 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t82) @t42))) % 1.12/1.37 (define @t84 () (not @t83)) % 1.12/1.37 (define @t85 () (@list @t3 @t38 @t42 @t2)) % 1.12/1.37 (define @t86 () (@var "T_c" $$unsorted)) % 1.12/1.37 (define @t87 () (@var "V_g" $$unsorted)) % 1.12/1.37 (define @t88 () (tptp.hAPP @t25 @t21)) % 1.12/1.37 (define @t89 () (tptp.hAPP @t88 @t23)) % 1.12/1.37 (define @t90 () (tptp.hAPP @t25 @t22)) % 1.12/1.37 (define @t91 () (tptp.hAPP @t90 @t23)) % 1.12/1.37 (define @t92 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24)) % 1.12/1.37 (define @t93 () (tptp.hAPP @t92 @t22)) % 1.12/1.37 (define @t94 () (tptp.hAPP @t93 @t21)) % 1.12/1.37 (define @t95 () (tptp.hAPP @t26 @t21)) % 1.12/1.37 (define @t96 () (tptp.hAPP @t92 @t27)) % 1.12/1.37 (define @t97 () (@list @t3 @t23 @t22 @t21)) % 1.12/1.37 (define @t98 () (tptp.hAPP @t81 @t42)) % 1.12/1.37 (define @t99 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3)) % 1.12/1.37 (define @t100 () (tptp.hAPP (tptp.hAPP @t99 @t82) @t98)) % 1.12/1.37 (define @t101 () (tptp.hAPP @t99 @t38)) % 1.12/1.37 (define @t102 () (tptp.hAPP @t101 @t42)) % 1.12/1.37 (define @t103 () (tptp.hAPP @t81 @t102)) % 1.12/1.37 (define @t104 () (not (tptp.class_Lattices_Odistrib__lattice @t3))) % 1.12/1.37 (define @t105 () (@list @t3 @t2 @t38 @t42)) % 1.12/1.37 (define @t106 () (tptp.hAPP @t9 @t38)) % 1.12/1.37 (define @t107 () (tptp.hAPP @t106 @t2)) % 1.12/1.37 (define @t108 () (tptp.c_Orderings_Otop__class_Otop @t3)) % 1.12/1.37 (define @t109 () (tptp.c_Orderings_Otop__class_Otop @t24)) % 1.12/1.37 (define @t110 () (tptp.hAPP @t28 @t21)) % 1.12/1.37 (define @t111 () (tptp.hBOOL (tptp.hAPP @t110 @t23))) % 1.12/1.37 (define @t112 () (not @t111)) % 1.12/1.37 (define @t113 () (tptp.hBOOL (tptp.hAPP @t110 @t22))) % 1.12/1.37 (define @t114 () (tptp.hAPP @t92 @t23)) % 1.12/1.37 (define @t115 () (tptp.hAPP @t114 @t22)) % 1.12/1.37 (define @t116 () (tptp.hBOOL (tptp.hAPP @t110 @t115))) % 1.12/1.37 (define @t117 () (@list @t3 @t21 @t23 @t22)) % 1.12/1.37 (define @t118 () (tptp.hAPP @t28 @t115)) % 1.12/1.37 (define @t119 () (@list @t3 @t23 @t22)) % 1.12/1.37 (define @t120 () (tptp.hAPP @t99 @t2)) % 1.12/1.37 (define @t121 () (tptp.hAPP @t120 @t38)) % 1.12/1.37 (define @t122 () (tptp.hAPP @t4 @t121)) % 1.12/1.37 (define @t123 () (tptp.hBOOL (tptp.hAPP @t122 @t2))) % 1.12/1.37 (define @t124 () (not (tptp.class_Lattices_Olower__semilattice @t3))) % 1.12/1.37 (define @t125 () (@list @t3 @t2 @t38)) % 1.12/1.37 (define @t126 () (tptp.hBOOL (tptp.hAPP @t122 @t38))) % 1.12/1.37 (define @t127 () (tptp.hAPP @t99 @t1)) % 1.12/1.37 (define @t128 () (tptp.hAPP @t127 @t8)) % 1.12/1.37 (define @t129 () (tptp.hBOOL (tptp.hAPP @t5 @t128))) % 1.12/1.37 (define @t130 () (not @t59)) % 1.12/1.37 (define @t131 () (tptp.hBOOL (tptp.hAPP @t5 @t102))) % 1.12/1.37 (define @t132 () (not (tptp.class_Lattices_Olattice @t3))) % 1.12/1.37 (define @t133 () (not @t33)) % 1.12/1.37 (define @t134 () (@var "V_D" $$unsorted)) % 1.12/1.37 (define @t135 () (not (tptp.hBOOL (tptp.hAPP @t35 @t134)))) % 1.12/1.37 (define @t136 () (@list @t3 @t23 @t22 @t21 @t134)) % 1.12/1.37 (define @t137 () (tptp.c_Orderings_Obot__class_Obot @t24)) % 1.12/1.37 (define @t138 () (tptp.hAPP @t28 @t137)) % 1.12/1.37 (define @t139 () (@list @t3)) % 1.12/1.37 (define @t140 () (= @t23 @t137)) % 1.12/1.37 (define @t141 () (@list @t23 @t3)) % 1.12/1.37 (define @t142 () (@var "T_aa" $$unsorted)) % 1.12/1.37 (define @t143 () (tptp.hAPP @t68 @t2)) % 1.12/1.37 (define @t144 () (tptp.c_Fun_Ofun__upd @t68 @t2 @t38 @t67 @t3)) % 1.12/1.37 (define @t145 () (tptp.c_HOL_Oord__class_Oless @t24)) % 1.12/1.37 (define @t146 () (tptp.hAPP @t145 @t23)) % 1.12/1.37 (define @t147 () (tptp.hBOOL (tptp.hAPP @t146 @t22))) % 1.12/1.37 (define @t148 () (not @t147)) % 1.12/1.37 (define @t149 () (tptp.c_in @t3)) % 1.12/1.37 (define @t150 () (tptp.hAPP @t149 @t2)) % 1.12/1.37 (define @t151 () (tptp.hBOOL (tptp.hAPP @t150 @t23))) % 1.12/1.37 (define @t152 () (tptp.c_Set_Oinsert @t2 @t22 @t3)) % 1.12/1.37 (define @t153 () (tptp.hBOOL (tptp.hAPP @t146 @t152))) % 1.12/1.37 (define @t154 () (@list @t3 @t23 @t2 @t22)) % 1.12/1.37 (define @t155 () (= @t27 @t22)) % 1.12/1.37 (define @t156 () (not (tptp.hBOOL (tptp.hAPP @t35 @t23)))) % 1.12/1.37 (define @t157 () (= @t82 @t38)) % 1.12/1.37 (define @t158 () (tptp.hAPP @t48 @t2)) % 1.12/1.37 (define @t159 () (tptp.hBOOL (tptp.hAPP @t158 @t38))) % 1.12/1.37 (define @t160 () (not @t159)) % 1.12/1.37 (define @t161 () (tptp.tc_fun @t3 @t67)) % 1.12/1.37 (define @t162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oord__class_Oless @t161) @t68) @t87))) % 1.12/1.37 (define @t163 () (not @t162)) % 1.12/1.37 (define @t164 () (tptp.c_lessequals @t161)) % 1.12/1.37 (define @t165 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t68) @t87))) % 1.12/1.37 (define @t166 () (not (tptp.class_HOL_Oord @t67))) % 1.12/1.37 (define @t167 () (@list @t67 @t3 @t68 @t87)) % 1.12/1.37 (define @t168 () (tptp.hAPP @t48 @t1)) % 1.12/1.37 (define @t169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t128) @t2))) % 1.12/1.37 (define @t170 () (@list @t3 @t1 @t8 @t2)) % 1.12/1.37 (define @t171 () (tptp.hAPP @t48 @t8)) % 1.12/1.37 (define @t172 () (= @t2 @t38)) % 1.12/1.37 (define @t173 () (not (tptp.class_Orderings_Olinorder @t3))) % 1.12/1.37 (define @t174 () (@list @t3 @t38 @t2)) % 1.12/1.37 (define @t175 () (= @t23 @t22)) % 1.12/1.37 (define @t176 () (@list @t23 @t22 @t3)) % 1.12/1.37 (define @t177 () (tptp.hBOOL (tptp.hAPP @t158 @t2))) % 1.12/1.37 (define @t178 () (not @t177)) % 1.12/1.37 (define @t179 () (not @t165)) % 1.12/1.37 (define @t180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t87) @t68))) % 1.12/1.37 (define @t181 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t22 @t24)) % 1.12/1.37 (define @t182 () (tptp.hAPP @t28 @t181)) % 1.12/1.37 (define @t183 () (tptp.c_Fun_Ofun__upd @t68 @t2 @t38 @t3 @t67)) % 1.12/1.37 (define @t184 () (@list @t68 @t2 @t38 @t3 @t67 @t42)) % 1.12/1.37 (define @t185 () (tptp.c_Set_Oimage @t68 @t23 @t67 @t3)) % 1.12/1.37 (define @t186 () (tptp.c_Hilbert__Choice_Oinv__into @t23 @t68 @t67 @t3)) % 1.12/1.37 (define @t187 () (tptp.hBOOL (tptp.hAPP @t150 @t22))) % 1.12/1.37 (define @t188 () (not @t153)) % 1.12/1.37 (define @t189 () (@list @t3 @t23 @t22 @t2)) % 1.12/1.37 (define @t190 () (tptp.hAPP @t25 @t137)) % 1.12/1.37 (define @t191 () (@list @t3 @t22)) % 1.12/1.37 (define @t192 () (tptp.c_Orderings_Obot__class_Obot @t3)) % 1.12/1.37 (define @t193 () (not (tptp.class_Lattices_Obounded__lattice @t3))) % 1.12/1.37 (define @t194 () (tptp.hAPP @t23 @t2)) % 1.12/1.37 (define @t195 () (tptp.hBOOL @t194)) % 1.12/1.37 (define @t196 () (not @t195)) % 1.12/1.37 (define @t197 () (tptp.hBOOL (tptp.hAPP @t27 @t2))) % 1.12/1.37 (define @t198 () (tptp.hAPP @t22 @t2)) % 1.12/1.37 (define @t199 () (tptp.hBOOL @t198)) % 1.12/1.37 (define @t200 () (not @t199)) % 1.12/1.37 (define @t201 () (@var "V_c" $$unsorted)) % 1.12/1.37 (define @t202 () (= @t1 @t201)) % 1.12/1.37 (define @t203 () (@var "V_d" $$unsorted)) % 1.12/1.37 (define @t204 () (@var "V_m" $$unsorted)) % 1.12/1.37 (define @t205 () (tptp.hAPP @t90 @t21)) % 1.12/1.37 (define @t206 () (tptp.hAPP @t114 @t205)) % 1.12/1.37 (define @t207 () (tptp.hAPP @t25 @t115)) % 1.12/1.37 (define @t208 () (= (tptp.hAPP @t207 @t21) @t206)) % 1.12/1.37 (define @t209 () (@var "V_R" $$unsorted)) % 1.12/1.37 (define @t210 () (tptp.c_Relation_OImage @t209 @t22 @t67 @t3)) % 1.12/1.37 (define @t211 () (tptp.c_Relation_OImage @t209 @t23 @t67 @t3)) % 1.12/1.37 (define @t212 () (tptp.tc_fun @t67 tptp.tc_bool)) % 1.12/1.37 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t212)) % 1.12/1.37 (define @t214 () (tptp.hAPP (tptp.hAPP @t213 @t23) @t22)) % 1.12/1.37 (define @t215 () (= @t2 @t42)) % 1.12/1.37 (define @t216 () (tptp.c_Set_Oinsert @t1 @t22 @t3)) % 1.12/1.37 (define @t217 () (tptp.c_Orderings_Obot__class_Obot @t212)) % 1.12/1.37 (define @t218 () (@list @t3 @t23 @t1 @t22)) % 1.12/1.37 (define @t219 () (@list @t3 @t1 @t22 @t21)) % 1.12/1.37 (define @t220 () (tptp.c_Set_Oinsert @t8 @t22 @t3)) % 1.12/1.37 (define @t221 () (tptp.c_Set_Oinsert @t2 @t23 @t3)) % 1.12/1.37 (define @t222 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t221) @t22))) % 1.12/1.37 (define @t223 () (not @t222)) % 1.12/1.37 (define @t224 () (tptp.hAPP @t92 @t21)) % 1.12/1.37 (define @t225 () (tptp.hAPP @t224 @t23)) % 1.12/1.37 (define @t226 () (tptp.hAPP @t93 @t23)) % 1.12/1.37 (define @t227 () (tptp.hAPP @t114 @t21)) % 1.12/1.37 (define @t228 () (tptp.hAPP @t120 @t42)) % 1.12/1.37 (define @t229 () (tptp.hAPP (tptp.hAPP @t9 @t121) @t228)) % 1.12/1.37 (define @t230 () (tptp.hAPP @t106 @t42)) % 1.12/1.37 (define @t231 () (tptp.hAPP @t120 @t230)) % 1.12/1.37 (define @t232 () (tptp.hAPP @t101 @t2)) % 1.12/1.37 (define @t233 () (not @t71)) % 1.12/1.37 (define @t234 () (@var "V_S" $$unsorted)) % 1.12/1.37 (define @t235 () (tptp.c_Hilbert__Choice_Oinv__into @t23 @t68 @t3 @t67)) % 1.12/1.37 (define @t236 () (not (tptp.hBOOL (tptp.hAPP @t49 @t42)))) % 1.12/1.37 (define @t237 () (tptp.hBOOL (tptp.hAPP @t158 @t42))) % 1.12/1.37 (define @t238 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t145 @t22) @t21)))) % 1.12/1.37 (define @t239 () (tptp.hBOOL (tptp.hAPP @t146 @t21))) % 1.12/1.37 (define @t240 () (tptp.hBOOL (tptp.hAPP @t5 @t2))) % 1.12/1.37 (define @t241 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t3))) % 1.12/1.37 (define @t242 () (@var "V_M" $$unsorted)) % 1.12/1.37 (define @t243 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t212)) % 1.12/1.37 (define @t244 () (tptp.hAPP (tptp.hAPP @t243 @t23) @t22)) % 1.12/1.37 (define @t245 () (not (tptp.c_Fun_Oinj__on @t68 @t109 @t3 @t67))) % 1.12/1.37 (define @t246 () (tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 @t74 @t68 @t3 @t67)) % 1.12/1.37 (define @t247 () (tptp.c_Hilbert__Choice_Oinv__into @t109 @t68 @t3 @t67)) % 1.12/1.37 (define @t248 () (= @t42 @t2)) % 1.12/1.37 (define @t249 () (tptp.hAPP @t68 @t42)) % 1.12/1.37 (define @t250 () (@var "V_x_H" $$unsorted)) % 1.12/1.37 (define @t251 () (@var "V_y_H" $$unsorted)) % 1.12/1.37 (define @t252 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t251) @t250))) % 1.12/1.37 (define @t253 () (tptp.c_HOL_Ominus__class_Ominus @t250 @t251 @t3)) % 1.12/1.37 (define @t254 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t38 @t3) @t253))) % 1.12/1.37 (define @t255 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t3))) % 1.12/1.37 (define @t256 () (@list @t3 @t2 @t38 @t250 @t251)) % 1.12/1.37 (define @t257 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t250) @t251))) % 1.12/1.37 (define @t258 () (tptp.c_Set_Oimage @t68 @t22 @t3 @t67)) % 1.12/1.37 (define @t259 () (tptp.c_Set_Oimage @t68 @t23 @t3 @t67)) % 1.12/1.37 (define @t260 () (tptp.c_lessequals @t212)) % 1.12/1.37 (define @t261 () (tptp.hAPP @t260 @t259)) % 1.12/1.37 (define @t262 () (tptp.hBOOL (tptp.hAPP @t261 @t258))) % 1.12/1.37 (define @t263 () (@list @t67 @t68 @t23 @t3 @t22)) % 1.12/1.37 (define @t264 () (@list @t67 @t2 @t23 @t3 @t68)) % 1.12/1.37 (define @t265 () (not (tptp.hBOOL (tptp.hAPP @t17 @t1)))) % 1.12/1.37 (define @t266 () (= @t1 @t8)) % 1.12/1.37 (define @t267 () (tptp.hBOOL (tptp.hAPP @t171 @t1))) % 1.12/1.37 (define @t268 () (@list @t3 @t8 @t1)) % 1.12/1.37 (define @t269 () (not (tptp.hBOOL (tptp.hAPP @t19 @t8)))) % 1.12/1.37 (define @t270 () (tptp.hBOOL (tptp.hAPP @t168 @t8))) % 1.12/1.37 (define @t271 () (@list @t3 @t1 @t8)) % 1.12/1.37 (define @t272 () (tptp.c_Set_Oimage @t68 @t22 @t67 @t3)) % 1.12/1.37 (define @t273 () (@list @t68 @t67 @t23 @t22 @t3)) % 1.12/1.37 (define @t274 () (not @t267)) % 1.12/1.37 (define @t275 () (not @t270)) % 1.12/1.37 (define @t276 () (@var "V_r" $$unsorted)) % 1.12/1.37 (define @t277 () (not (tptp.c_Equiv__Relations_Oequiv @t23 @t276 @t3))) % 1.12/1.37 (define @t278 () (tptp.hAPP @t149 @t1)) % 1.12/1.37 (define @t279 () (tptp.hBOOL (tptp.hAPP @t278 @t23))) % 1.12/1.37 (define @t280 () (not @t279)) % 1.12/1.37 (define @t281 () (tptp.c_Set_Oinsert @t1 @t137 @t3)) % 1.12/1.37 (define @t282 () (tptp.c_Relation_OImage @t276 @t281 @t3 @t3)) % 1.12/1.37 (define @t283 () (tptp.c_Set_Oinsert @t2 @t137 @t3)) % 1.12/1.37 (define @t284 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t283 @t24)) % 1.12/1.37 (define @t285 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t145 @t284) @t22))) % 1.12/1.37 (define @t286 () (not @t285)) % 1.12/1.37 (define @t287 () (tptp.c_Set_Oinsert @t8 @t137 @t3)) % 1.12/1.37 (define @t288 () (tptp.c_Relation_OImage @t276 @t287 @t3 @t3)) % 1.12/1.37 (define @t289 () (tptp.hAPP @t149 @t8)) % 1.12/1.37 (define @t290 () (not (tptp.hBOOL (tptp.hAPP @t289 @t23)))) % 1.12/1.37 (define @t291 () (tptp.c_in (tptp.tc_prod @t3 @t3))) % 1.12/1.37 (define @t292 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t291 (tptp.c_Pair @t1 @t8 @t3 @t3)) @t276))) % 1.12/1.37 (define @t293 () (tptp.hAPP @t143 @t38)) % 1.12/1.37 (define @t294 () (tptp.hBOOL (tptp.hAPP @t32 @t152))) % 1.12/1.37 (define @t295 () (not @t294)) % 1.12/1.37 (define @t296 () (@list @t3 @t2 @t22 @t23)) % 1.12/1.37 (define @t297 () (not @t187)) % 1.12/1.37 (define @t298 () (tptp.c_in @t67)) % 1.12/1.37 (define @t299 () (tptp.hAPP @t298 @t2)) % 1.12/1.37 (define @t300 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 @t38) @t259))) % 1.12/1.37 (define @t301 () (tptp.hBOOL (tptp.hAPP @t299 @t23))) % 1.12/1.37 (define @t302 () (not @t301)) % 1.12/1.37 (define @t303 () (tptp.hAPP @t149 @t143)) % 1.12/1.37 (define @t304 () (forall (@list @t3 @t68 @t2 @t22 @t67 @t23) (or (tptp.hBOOL (tptp.hAPP @t303 @t22)) @t302 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t185) @t22)))))) % 1.12/1.37 (define @t305 () (tptp.hAPP @t149 @t38)) % 1.12/1.37 (define @t306 () (tptp.c_Set_Oimage @t144 @t23 @t67 @t3)) % 1.12/1.37 (define @t307 () (@list @t68 @t2 @t38 @t67 @t3 @t23)) % 1.12/1.37 (define @t308 () (not @t292)) % 1.12/1.37 (define @t309 () (= @t282 @t288)) % 1.12/1.37 (define @t310 () (@list @t276 @t1 @t3 @t8 @t23)) % 1.12/1.37 (define @t311 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t291 (tptp.c_Pair @t2 @t38 @t3 @t3)) @t276))) % 1.12/1.37 (define @t312 () (not @t311)) % 1.12/1.37 (define @t313 () (tptp.c_Set_Oinsert @t38 @t137 @t3)) % 1.12/1.37 (define @t314 () (tptp.c_Relation_OImage @t276 @t283 @t3 @t3)) % 1.12/1.37 (define @t315 () (= @t314 (tptp.c_Relation_OImage @t276 @t313 @t3 @t3))) % 1.12/1.37 (define @t316 () (@list @t276 @t2 @t3 @t38 @t23)) % 1.12/1.37 (define @t317 () (@var "V_i" $$unsorted)) % 1.12/1.37 (define @t318 () (tptp.hAPP @t149 @t317)) % 1.12/1.37 (define @t319 () (tptp.c_lessequals @t67)) % 1.12/1.38 (define @t320 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t67))) % 1.12/1.38 (define @t321 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t22 @t3 @t212)) % 1.12/1.38 (define @t322 () (tptp.hAPP @t22 @t1)) % 1.12/1.38 (define @t323 () (@var "V_I" $$unsorted)) % 1.12/1.38 (define @t324 () (@var "V_k" $$unsorted)) % 1.12/1.38 (define @t325 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t323 @t23 @t3 @t212)) % 1.12/1.38 (define @t326 () (tptp.c_COMBC @t149 @t3 @t24 tptp.tc_bool)) % 1.12/1.38 (define @t327 () (tptp.hAPP @t326 @t234)) % 1.12/1.38 (define @t328 () (tptp.hAPP @t326 @t209)) % 1.12/1.38 (define @t329 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t328) @t327))) % 1.12/1.38 (define @t330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t209) @t234))) % 1.12/1.38 (define @t331 () (@list @t3 @t209 @t234)) % 1.12/1.38 (define @t332 () (not @t151)) % 1.12/1.38 (define @t333 () (tptp.c_in @t142)) % 1.12/1.38 (define @t334 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t333 @t2) @t23)))) % 1.12/1.38 (define @t335 () (tptp.c_Complete__Lattice_OSup__class_OSup @t3)) % 1.12/1.38 (define @t336 () (tptp.hAPP @t335 @t23)) % 1.12/1.38 (define @t337 () (@list @t3 @t2 @t23)) % 1.12/1.38 (define @t338 () (tptp.c_Set_Oinsert @t1 @t23 @t3)) % 1.12/1.38 (define @t339 () (@list @t1 @t23 @t3)) % 1.12/1.38 (define @t340 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t217 @t22 @t67 @t24)) % 1.12/1.38 (define @t341 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t22 @t67 @t24)) % 1.12/1.38 (define @t342 () (tptp.c_Orderings_Otop__class_Otop @t212)) % 1.12/1.38 (define @t343 () (@list @t3 @t1 @t23)) % 1.12/1.38 (define @t344 () (tptp.c_Fun_Oinj__on @t68 @t27 @t3 @t67)) % 1.12/1.38 (define @t345 () (not @t344)) % 1.12/1.38 (define @t346 () (not (= @t259 @t258))) % 1.12/1.38 (define @t347 () (tptp.c_in @t24)) % 1.12/1.38 (define @t348 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t22) @t23)))) % 1.12/1.38 (define @t349 () (tptp.c_Complete__Lattice_OSup__class_OSup @t24)) % 1.12/1.38 (define @t350 () (@list @t3 @t22 @t23)) % 1.12/1.38 (define @t351 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t22 @t212)) % 1.12/1.38 (define @t352 () (tptp.hAPP @t25 @t181)) % 1.12/1.38 (define @t353 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t21 @t24)) % 1.12/1.38 (define @t354 () (tptp.hAPP @t92 @t181)) % 1.12/1.38 (define @t355 () (@list @t23 @t3 @t22 @t21)) % 1.12/1.38 (define @t356 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t142 tptp.tc_bool))) % 1.12/1.38 (define @t357 () (not (tptp.c_Fun_Oinj__on @t68 @t356 @t142 @t3))) % 1.12/1.38 (define @t358 () (@list @t68 @t142 @t3 @t2)) % 1.12/1.38 (define @t359 () (tptp.c_Complete__Lattice_OInf__class_OInf @t3)) % 1.12/1.38 (define @t360 () (tptp.hAPP @t359 @t23)) % 1.12/1.38 (define @t361 () (tptp.c_Set_Ovimage @t68 @t23 @t67 @t3)) % 1.12/1.38 (define @t362 () (tptp.c_Set_Oimage @t68 @t361 @t67 @t3)) % 1.12/1.38 (define @t363 () (@list @t3 @t68 @t23 @t67)) % 1.12/1.38 (define @t364 () (tptp.c_Set_OPow @t22 @t3)) % 1.12/1.38 (define @t365 () (tptp.hAPP @t347 @t23)) % 1.12/1.38 (define @t366 () (tptp.hBOOL (tptp.hAPP @t365 @t364))) % 1.12/1.38 (define @t367 () (tptp.c_Equiv__Relations_Oquotient @t23 @t276 @t3)) % 1.12/1.38 (define @t368 () (tptp.c_Complete__Lattice_OInf__class_OInf @t24)) % 1.12/1.38 (define @t369 () (tptp.hBOOL (tptp.hAPP @t305 @t23))) % 1.12/1.38 (define @t370 () (not @t369)) % 1.12/1.38 (define @t371 () (not @t315)) % 1.12/1.38 (define @t372 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t284) @t22))) % 1.12/1.38 (define @t373 () (not @t372)) % 1.12/1.38 (define @t374 () (tptp.hAPP @t26 @t205)) % 1.12/1.38 (define @t375 () (tptp.hAPP @t81 @t230)) % 1.12/1.38 (define @t376 () (= (tptp.hAPP (tptp.hAPP @t9 @t82) @t42) @t375)) % 1.12/1.38 (define @t377 () (= @t375 (tptp.hAPP @t106 @t98))) % 1.12/1.38 (define @t378 () (= @t121 @t2)) % 1.12/1.38 (define @t379 () (not @t20)) % 1.12/1.38 (define @t380 () (not @t18)) % 1.12/1.38 (define @t381 () (tptp.hBOOL (tptp.hAPP @t5 @t82))) % 1.12/1.38 (define @t382 () (tptp.hBOOL (tptp.hAPP @t39 @t82))) % 1.12/1.38 (define @t383 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t23 @t24)) % 1.12/1.38 (define @t384 () (tptp.hAPP @t26 @t383)) % 1.12/1.38 (define @t385 () (tptp.c_Set_Ovimage @t68 @t22 @t67 @t3)) % 1.12/1.38 (define @t386 () (not (= @t27 @t137))) % 1.12/1.38 (define @t387 () (not (= (tptp.hAPP (tptp.hAPP @t9 @t23) @t22) @t192))) % 1.12/1.38 (define @t388 () (tptp.c_Fun_Obij__betw @t68 @t23 @t22 @t3 @t67)) % 1.12/1.38 (define @t389 () (not @t388)) % 1.12/1.38 (define @t390 () (@list @t23 @t68 @t3 @t67 @t22)) % 1.12/1.38 (define @t391 () (not @t116)) % 1.12/1.38 (define @t392 () (not @t129)) % 1.12/1.38 (define @t393 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t128) @t2))) % 1.12/1.38 (define @t394 () (not @t131)) % 1.12/1.38 (define @t395 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 @t24)) % 1.12/1.38 (define @t396 () (= @t82 @t107)) % 1.12/1.38 (define @t397 () (= (tptp.hAPP @t81 @t82) @t82)) % 1.12/1.38 (define @t398 () (tptp.c_Set_Ovimage @t68 @t22 @t3 @t67)) % 1.12/1.38 (define @t399 () (tptp.c_Set_Ovimage @t68 @t23 @t3 @t67)) % 1.12/1.38 (define @t400 () (@list @t68 @t2 @t38 @t3 @t67)) % 1.12/1.38 (define @t401 () (tptp.hBOOL (tptp.hAPP @t32 @t205))) % 1.12/1.38 (define @t402 () (tptp.hBOOL (tptp.hAPP @t182 @t21))) % 1.12/1.38 (define @t403 () (tptp.hBOOL (tptp.hAPP @t158 @t11))) % 1.12/1.38 (define @t404 () (@var "V_t" $$unsorted)) % 1.12/1.38 (define @t405 () (tptp.hAPP @t149 @t404)) % 1.12/1.38 (define @t406 () (tptp.hAPP @t149 @t201)) % 1.12/1.38 (define @t407 () (tptp.hBOOL (tptp.hAPP @t406 @t23))) % 1.12/1.38 (define @t408 () (not @t407)) % 1.12/1.38 (define @t409 () (tptp.hBOOL (tptp.hAPP @t406 @t22))) % 1.12/1.38 (define @t410 () (@list @t3 @t201 @t22 @t23)) % 1.12/1.38 (define @t411 () (tptp.hBOOL (tptp.hAPP @t406 @t27))) % 1.12/1.38 (define @t412 () (@list @t3 @t201 @t23 @t22)) % 1.12/1.38 (define @t413 () (not @t409)) % 1.12/1.38 (define @t414 () (tptp.c_FuncSet_Ocompose @t23 @t87 @t68 @t3 @t86 @t67)) % 1.12/1.38 (define @t415 () (tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 @t23 @t22 @t74 @t3)) % 1.12/1.38 (define @t416 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t415) @t27))) % 1.12/1.38 (define @t417 () (@var "V_xa" $$unsorted)) % 1.12/1.38 (define @t418 () (tptp.hAPP @t149 @t417)) % 1.12/1.38 (define @t419 () (not (tptp.hBOOL (tptp.hAPP @t418 @t23)))) % 1.12/1.38 (define @t420 () (not (tptp.hBOOL (tptp.hAPP @t74 @t417)))) % 1.12/1.38 (define @t421 () (tptp.c_Pair @t1 @t8 @t3 @t67)) % 1.12/1.38 (define @t422 () (tptp.hAPP (tptp.c_in (tptp.tc_prod @t3 @t67)) @t421)) % 1.12/1.38 (define @t423 () (not (tptp.hBOOL (tptp.hAPP @t422 @t276)))) % 1.12/1.38 (define @t424 () (tptp.hAPP @t298 @t8)) % 1.12/1.38 (define @t425 () (tptp.c_in (tptp.tc_prod @t67 @t3))) % 1.12/1.38 (define @t426 () (tptp.c_fequal @t3)) % 1.12/1.38 (define @t427 () (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC @t426 @t3 @t3 tptp.tc_bool) @t1) @t3)) % 1.12/1.38 (define @t428 () (tptp.c_Set_Oinsert @t1 @t287 @t3)) % 1.12/1.38 (define @t429 () (tptp.hAPP @t349 @t21)) % 1.12/1.38 (define @t430 () (= (tptp.hAPP (tptp.hAPP @t92 @t429) @t23) @t137)) % 1.12/1.38 (define @t431 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1 @t23 @t21 @t3)) % 1.12/1.38 (define @t432 () (@list @t3 @t23 @t21)) % 1.12/1.38 (define @t433 () (not (tptp.c_Fun_Oinj__on @t68 @t21 @t3 @t67))) % 1.12/1.38 (define @t434 () (= (tptp.c_Set_Oimage @t68 @t115 @t3 @t67) (tptp.hAPP (tptp.hAPP @t213 @t259) @t258))) % 1.12/1.38 (define @t435 () (@var "V_X" $$unsorted)) % 1.12/1.38 (define @t436 () (tptp.c_Set_Oimage @t68 @t181 @t3 @t67)) % 1.12/1.38 (define @t437 () (= @t436 (tptp.c_HOL_Ominus__class_Ominus @t259 @t258 @t212))) % 1.12/1.38 (define @t438 () (tptp.c_Set_Oinsert @t1 @t217 @t67)) % 1.12/1.38 (define @t439 () (tptp.c_Set_Oinsert @t1 @t22 @t67)) % 1.12/1.38 (define @t440 () (@list @t68 @t1 @t22 @t67 @t3)) % 1.12/1.38 (define @t441 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t281 @t24)) % 1.12/1.38 (define @t442 () (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 @t143 @t68 @t2 @t3 @t142)) % 1.12/1.38 (define @t443 () (tptp.c_Set_Oimage @t68 @t356 @t142 @t3)) % 1.12/1.38 (define @t444 () (tptp.hBOOL (tptp.hAPP @t303 @t443))) % 1.12/1.38 (define @t445 () (tptp.c_Set_Oimage @t68 @t109 @t3 @t67)) % 1.12/1.38 (define @t446 () (tptp.hAPP @t68 @t38)) % 1.12/1.38 (define @t447 () (tptp.hAPP @t347 @t435)) % 1.12/1.38 (define @t448 () (not (tptp.hBOOL (tptp.hAPP @t447 @t367)))) % 1.12/1.38 (define @t449 () (@var "V_Y" $$unsorted)) % 1.12/1.38 (define @t450 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t449) @t367)))) % 1.12/1.38 (define @t451 () (= @t435 @t449)) % 1.12/1.38 (define @t452 () (tptp.c_FuncSet_OPi @t23 (tptp.c_COMBK @t22 @t212 @t3) @t3 @t67)) % 1.12/1.38 (define @t453 () (tptp.c_in @t161)) % 1.12/1.38 (define @t454 () (tptp.hAPP @t453 @t68)) % 1.12/1.38 (define @t455 () (tptp.hBOOL (tptp.hAPP @t454 @t452))) % 1.12/1.38 (define @t456 () (not @t455)) % 1.12/1.38 (define @t457 () (tptp.c_FuncSet_Osko__FuncSet__XrestrictI__1__1 @t23 @t22 @t68 @t3 @t67)) % 1.12/1.38 (define @t458 () (tptp.c_FuncSet_OPi @t23 @t22 @t3 @t67)) % 1.12/1.38 (define @t459 () (tptp.c_FuncSet_Orestrict @t68 @t23 @t3 @t67)) % 1.12/1.38 (define @t460 () (tptp.hAPP @t453 @t459)) % 1.12/1.38 (define @t461 () (tptp.hBOOL (tptp.hAPP @t460 @t458))) % 1.12/1.38 (define @t462 () (@list @t3 @t67 @t68 @t23 @t22)) % 1.12/1.38 (define @t463 () (tptp.c_COMBI @t3)) % 1.12/1.38 (define @t464 () (tptp.c_FuncSet_Orestrict @t186 @t185 @t3 @t67)) % 1.12/1.38 (define @t465 () (@list @t68 @t23 @t67 @t3)) % 1.12/1.38 (define @t466 () (tptp.c_FuncSet_Orestrict @t463 @t23 @t3 @t3)) % 1.12/1.38 (define @t467 () (tptp.hBOOL (tptp.hAPP @t289 (tptp.c_Relation_OImage @t276 @t438 @t67 @t3)))) % 1.12/1.38 (define @t468 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 (tptp.c_Pair @t1 @t8 @t67 @t3)) @t276))) % 1.12/1.38 (define @t469 () (tptp.hAPP @t347 @t2)) % 1.12/1.38 (define @t470 () (not (tptp.hBOOL (tptp.hAPP @t469 @t367)))) % 1.12/1.38 (define @t471 () (= (tptp.hAPP (tptp.hAPP @t213 @t436) (tptp.c_Set_Oimage @t68 @t383 @t3 @t67)) @t217)) % 1.12/1.38 (define @t472 () (@list @t67 @t68 @t23 @t22 @t3)) % 1.12/1.38 (define @t473 () (@var "V_b_H" $$unsorted)) % 1.12/1.38 (define @t474 () (@var "V_a_H" $$unsorted)) % 1.12/1.38 (define @t475 () (= @t474 @t473)) % 1.12/1.38 (define @t476 () (= @t1 @t473)) % 1.12/1.38 (define @t477 () (= @t8 @t474)) % 1.12/1.38 (define @t478 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.12/1.38 (define @t479 () (tptp.tc_fun @t478 tptp.tc_bool)) % 1.12/1.38 (define @t480 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t479)) % 1.12/1.38 (define @t481 () (tptp.c_in @t480)) % 1.12/1.38 (define @t482 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t74) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 1.12/1.38 (define @t483 () (@var "V_P_H" $$unsorted)) % 1.12/1.38 (define @t484 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t483) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 1.12/1.38 (define @t485 () (tptp.v_sko__local__X2__1 @t74 @t483 @t1 @t474 @t8 @t473)) % 1.12/1.38 (define @t486 () (tptp.c_in @t478)) % 1.12/1.38 (define @t487 () (tptp.hAPP @t486 (tptp.c_Pair @t1 @t8 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t488 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t74 @t485)))) % 1.12/1.38 (define @t489 () (tptp.hAPP @t486 (tptp.c_Pair @t474 @t473 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t490 () (tptp.hBOOL (tptp.hAPP @t489 (tptp.hAPP @t483 @t485)))) % 1.12/1.38 (define @t491 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP tptp.v_F @t74)))) % 1.12/1.38 (define @t492 () (not @t491)) % 1.12/1.38 (define @t493 () (tptp.hAPP tptp.v_F @t483)) % 1.12/1.38 (define @t494 () (tptp.hBOOL (tptp.hAPP @t489 @t493))) % 1.12/1.38 (define @t495 () (@list @t474 @t473 @t483 @t1 @t8 @t74)) % 1.12/1.38 (define @t496 () (not @t494)) % 1.12/1.38 (define @t497 () (@list @t1 @t8 @t74 @t474 @t473 @t483)) % 1.12/1.38 (define @t498 () (not @t488)) % 1.12/1.38 (define @t499 () (not @t490)) % 1.12/1.38 (define @t500 () (tptp.v_sko__local__Xpairwise__neutrality__1 @t74 @t483 @t1 @t474 @t8 @t473)) % 1.12/1.38 (define @t501 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t74 @t500)))) % 1.12/1.38 (define @t502 () (tptp.hBOOL (tptp.hAPP @t489 (tptp.hAPP @t483 @t500)))) % 1.12/1.38 (define @t503 () (not @t501)) % 1.12/1.38 (define @t504 () (not @t502)) % 1.12/1.38 (define @t505 () (tptp.v_sko__local__X3__1 @t74 @t483 @t1 @t8)) % 1.12/1.38 (define @t506 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t74 @t505)))) % 1.12/1.38 (define @t507 () (tptp.hAPP @t486 (tptp.c_Pair @t8 @t1 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t508 () (tptp.hBOOL (tptp.hAPP @t507 (tptp.hAPP @t483 @t505)))) % 1.12/1.38 (define @t509 () (tptp.hBOOL (tptp.hAPP @t507 @t493))) % 1.12/1.38 (define @t510 () (@list @t8 @t1 @t483 @t74)) % 1.12/1.38 (define @t511 () (not @t509)) % 1.12/1.38 (define @t512 () (@list @t1 @t8 @t74 @t483)) % 1.12/1.38 (define @t513 () (not @t506)) % 1.12/1.38 (define @t514 () (not @t508)) % 1.12/1.38 (define @t515 () (= @t8 @t201)) % 1.12/1.38 (define @t516 () (tptp.v_sko__local__X4__1 @t74 @t483 @t1 @t8 @t201)) % 1.12/1.38 (define @t517 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t74 @t516)))) % 1.12/1.38 (define @t518 () (tptp.hAPP @t486 (tptp.c_Pair @t8 @t201 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t519 () (tptp.hBOOL (tptp.hAPP @t518 (tptp.hAPP @t483 @t516)))) % 1.12/1.38 (define @t520 () (tptp.hBOOL (tptp.hAPP @t518 @t493))) % 1.12/1.38 (define @t521 () (@list @t8 @t201 @t483 @t1 @t74)) % 1.12/1.38 (define @t522 () (not @t520)) % 1.12/1.38 (define @t523 () (@list @t1 @t8 @t74 @t201 @t483)) % 1.12/1.38 (define @t524 () (not @t517)) % 1.12/1.38 (define @t525 () (not @t519)) % 1.12/1.38 (define @t526 () (@var "V_F" $$unsorted)) % 1.12/1.38 (define @t527 () (not (tptp.c_Arrow__Order__Mirabelle_OIIA @t526))) % 1.12/1.38 (define @t528 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t2) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 1.12/1.38 (define @t529 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t417) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 1.12/1.38 (define @t530 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 @t1 @t8 @t2 @t417)) % 1.12/1.38 (define @t531 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t2 @t530)))) % 1.12/1.38 (define @t532 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t417 @t530)))) % 1.12/1.38 (define @t533 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t526 @t2)))) % 1.12/1.38 (define @t534 () (not @t533)) % 1.12/1.38 (define @t535 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t526 @t417)))) % 1.12/1.38 (define @t536 () (@list @t1 @t8 @t526 @t417 @t2)) % 1.12/1.38 (define @t537 () (not @t535)) % 1.12/1.38 (define @t538 () (@list @t1 @t8 @t526 @t2 @t417)) % 1.12/1.38 (define @t539 () (not @t531)) % 1.12/1.38 (define @t540 () (not @t532)) % 1.12/1.38 (define @t541 () (= (tptp.c_Equiv__Relations_Oquotient @t283 @t276 @t3) (tptp.c_Equiv__Relations_Oquotient @t313 @t276 @t3))) % 1.12/1.38 (define @t542 () (@list @t2 @t3 @t276 @t38 @t23)) % 1.12/1.38 (define @t543 () (tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 @t23 @t435 @t276 @t3)) % 1.12/1.38 (define @t544 () (tptp.c_Set_Oinsert @t38 @t23 @t3)) % 1.12/1.38 (define @t545 () (= @t38 @t42)) % 1.12/1.38 (define @t546 () (@var "V_L" $$unsorted)) % 1.12/1.38 (define @t547 () (tptp.hAPP @t486 (tptp.c_Pair @t2 @t38 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t548 () (tptp.hBOOL (tptp.hAPP @t547 @t546))) % 1.12/1.38 (define @t549 () (not @t548)) % 1.12/1.38 (define @t550 () (tptp.hBOOL (tptp.hAPP @t547 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t546 @t42)))) % 1.12/1.38 (define @t551 () (@list @t2 @t38 @t546 @t42)) % 1.12/1.38 (define @t552 () (tptp.hBOOL (tptp.hAPP @t422 (tptp.c_Product__Type_OSigma @t23 @t22 @t3 @t67)))) % 1.12/1.38 (define @t553 () (not @t552)) % 1.12/1.38 (define @t554 () (tptp.hBOOL (tptp.hAPP @t424 @t322))) % 1.12/1.38 (define @t555 () (tptp.hAPP @t149 @t23)) % 1.12/1.38 (define @t556 () (tptp.hBOOL (tptp.hAPP @t555 @t429))) % 1.12/1.38 (define @t557 () (not @t556)) % 1.12/1.38 (define @t558 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 @t23 @t21 @t3)) % 1.12/1.38 (define @t559 () (tptp.c_Fun_Obij__betw @t459 @t23 @t22 @t3 @t67)) % 1.12/1.38 (define @t560 () (@list @t68 @t23 @t22 @t3 @t67)) % 1.12/1.38 (define @t561 () (tptp.hAPP @t68 @t1)) % 1.12/1.38 (define @t562 () (tptp.hAPP @t298 @t561)) % 1.12/1.38 (define @t563 () (tptp.hBOOL (tptp.hAPP @t562 (tptp.c_Set_Oimage @t68 @t441 @t3 @t67)))) % 1.12/1.38 (define @t564 () (tptp.c_Fun_Oinj__on @t68 @t338 @t3 @t67)) % 1.12/1.38 (define @t565 () (tptp.c_FuncSet_Oextensional @t23 @t3 @t67)) % 1.12/1.38 (define @t566 () (not (tptp.hBOOL (tptp.hAPP @t454 @t565)))) % 1.12/1.38 (define @t567 () (tptp.hAPP @t453 @t87)) % 1.12/1.38 (define @t568 () (not (tptp.hBOOL (tptp.hAPP @t567 @t565)))) % 1.12/1.38 (define @t569 () (tptp.c_Collect @t74 @t3)) % 1.12/1.38 (define @t570 () (tptp.hBOOL (tptp.hAPP @t150 (tptp.hAPP @t114 @t569)))) % 1.12/1.38 (define @t571 () (not @t570)) % 1.12/1.38 (define @t572 () (not (= @t115 @t137))) % 1.12/1.38 (define @t573 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 @t23 @t21 @t3)) % 1.12/1.38 (define @t574 () (tptp.hBOOL (tptp.hAPP @t555 (tptp.hAPP @t368 @t21)))) % 1.12/1.38 (define @t575 () (tptp.c_COMBK @t201 @t67 @t3)) % 1.12/1.38 (define @t576 () (not @t564)) % 1.12/1.38 (define @t577 () (tptp.c_HOL_Ominus__class_Ominus @t221 @t22 @t24)) % 1.12/1.38 (define @t578 () (@list @t2 @t23 @t3 @t22)) % 1.12/1.38 (define @t579 () (@list @t3 @t449)) % 1.12/1.38 (define @t580 () (@var "V_top" $$unsorted)) % 1.12/1.38 (define @t581 () (@var "V_bot" $$unsorted)) % 1.12/1.38 (define @t582 () (@var "V_sup" $$unsorted)) % 1.12/1.38 (define @t583 () (@var "V_inf" $$unsorted)) % 1.12/1.38 (define @t584 () (@var "V_less" $$unsorted)) % 1.12/1.38 (define @t585 () (@var "V_less__eq" $$unsorted)) % 1.12/1.38 (define @t586 () (@var "V_Sup" $$unsorted)) % 1.12/1.38 (define @t587 () (@var "V_Inf" $$unsorted)) % 1.12/1.38 (define @t588 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t587 @t586 @t585 @t584 @t583 @t582 @t581 @t580 @t3))) % 1.12/1.38 (define @t589 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t546 @t2)) % 1.12/1.38 (define @t590 () (tptp.hAPP @t486 (tptp.c_Pair @t417 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t591 () (@list @t417 @t2 @t546)) % 1.12/1.38 (define @t592 () (tptp.hAPP @t486 (tptp.c_Pair @t2 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t593 () (@list @t2 @t546)) % 1.12/1.38 (define @t594 () (= @t23 @t217)) % 1.12/1.38 (define @t595 () (@list @t68 @t23 @t3 @t67)) % 1.12/1.38 (define @t596 () (@list @t68 @t67 @t3)) % 1.12/1.38 (define @t597 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t216 @t24)) % 1.12/1.38 (define @t598 () (@list @t23 @t1 @t22 @t3)) % 1.12/1.38 (define @t599 () (tptp.c_Set_Oinsert @t1 @t115 @t3)) % 1.12/1.38 (define @t600 () (@list @t2 @t23 @t3)) % 1.12/1.38 (define @t601 () (tptp.hBOOL (tptp.hAPP @t544 @t2))) % 1.12/1.38 (define @t602 () (= @t38 @t2)) % 1.12/1.38 (define @t603 () (= @t198 @t137)) % 1.12/1.38 (define @t604 () (tptp.hAPP @t582 @t1)) % 1.12/1.38 (define @t605 () (tptp.hAPP @t583 @t1)) % 1.12/1.38 (define @t606 () (tptp.c_Set_Oimage @t68 @t342 @t67 @t3)) % 1.12/1.38 (define @t607 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t3)) % 1.12/1.38 (define @t608 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 1.12/1.38 (define @t609 () (tptp.c_Set_Oimage @t68 @t217 @t67 @t3)) % 1.12/1.38 (define @t610 () (= @t121 @t232)) % 1.12/1.38 (define @t611 () (tptp.c_Set_Oinsert @t1 @t441 @t3)) % 1.12/1.38 (define @t612 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t546 @t2)) % 1.12/1.38 (define @t613 () (= @t417 @t2)) % 1.12/1.38 (define @t614 () (tptp.c_COMBK @t201 @t3 @t67)) % 1.12/1.38 (define @t615 () (tptp.c_COMBK @t201 @t24 @t67)) % 1.12/1.38 (define @t616 () (tptp.hAPP @t114 @t216)) % 1.12/1.38 (define @t617 () (tptp.hBOOL (tptp.hAPP @t278 @t21))) % 1.12/1.38 (define @t618 () (tptp.hAPP (tptp.hAPP @t92 @t216) @t21)) % 1.12/1.38 (define @t619 () (@list @t3 @t1)) % 1.12/1.38 (define @t620 () (@list @t3 @t2 @t23 @t74)) % 1.12/1.38 (define @t621 () (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t1 @t8)) % 1.12/1.38 (define @t622 () (@list @t1 @t8)) % 1.12/1.38 (define @t623 () (@list @t67 @t68 @t1 @t23 @t3)) % 1.12/1.38 (define @t624 () (tptp.hBOOL (tptp.hAPP @t115 @t2))) % 1.12/1.38 (define @t625 () (not @t624)) % 1.12/1.38 (define @t626 () (tptp.c_in @t479)) % 1.12/1.38 (define @t627 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 @t546) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (define @t628 () (not @t627)) % 1.12/1.38 (define @t629 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t546 @t1 @t8)) % 1.12/1.38 (define @t630 () (@list @t2 @t546 @t1 @t8)) % 1.12/1.38 (define @t631 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t546 @t1 @t2)) % 1.12/1.38 (define @t632 () (tptp.hBOOL (tptp.hAPP @t590 @t631))) % 1.12/1.38 (define @t633 () (= @t1 @t2)) % 1.12/1.38 (define @t634 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t417 @t1 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546))) % 1.12/1.38 (define @t635 () (not @t634)) % 1.12/1.38 (define @t636 () (@list @t417 @t1 @t546 @t2)) % 1.12/1.38 (define @t637 () (tptp.hBOOL (tptp.hAPP @t547 (tptp.c_Arrow__Order__Mirabelle_Oabove @t546 @t2 @t8)))) % 1.12/1.38 (define @t638 () (= @t2 @t8)) % 1.12/1.38 (define @t639 () (tptp.hBOOL (tptp.hAPP @t547 @t629))) % 1.12/1.38 (define @t640 () (= @t38 @t8)) % 1.12/1.38 (define @t641 () (@list @t417 @t2 @t546 @t1)) % 1.12/1.38 (define @t642 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t1 @t38 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546))) % 1.12/1.38 (define @t643 () (tptp.hBOOL (tptp.hAPP @t547 @t631))) % 1.12/1.38 (define @t644 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t546 @t2 @t8)) % 1.12/1.38 (define @t645 () (tptp.hBOOL (tptp.hAPP @t547 @t644))) % 1.12/1.38 (define @t646 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t2 @t8 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546)))) % 1.12/1.38 (define @t647 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t8 @t38 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546))) % 1.12/1.38 (define @t648 () (not @t647)) % 1.12/1.38 (define @t649 () (@list @t8 @t38 @t546 @t2)) % 1.12/1.38 (define @t650 () (not (tptp.hBOOL (tptp.hAPP @t590 @t546)))) % 1.12/1.38 (define @t651 () (tptp.hBOOL (tptp.hAPP @t590 (tptp.c_Arrow__Order__Mirabelle_Obelow @t546 @t1 @t2)))) % 1.12/1.38 (define @t652 () (= @t2 @t1)) % 1.12/1.38 (define @t653 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t546 @t1 @t8)) % 1.12/1.38 (define @t654 () (tptp.hBOOL (tptp.hAPP @t547 @t653))) % 1.12/1.38 (define @t655 () (@list @t2 @t38 @t546 @t1 @t8)) % 1.12/1.38 (define @t656 () (= @t38 @t1)) % 1.12/1.38 (define @t657 () (tptp.hAPP @t486 (tptp.c_Pair @t2 @t417 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.12/1.38 (define @t658 () (tptp.hBOOL (tptp.hAPP @t657 (tptp.c_Arrow__Order__Mirabelle_Obelow @t546 @t2 @t417)))) % 1.12/1.38 (define @t659 () (= @t2 @t417)) % 1.12/1.38 (define @t660 () (not @t642)) % 1.12/1.38 (define @t661 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t2 @t1 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546)))) % 1.12/1.38 (define @t662 () (tptp.hBOOL (tptp.hAPP @t590 (tptp.c_Arrow__Order__Mirabelle_Oabove @t546 @t417 @t2)))) % 1.12/1.38 (define @t663 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t417 @t8 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546))) % 1.12/1.38 (define @t664 () (tptp.hBOOL (tptp.hAPP @t590 @t644))) % 1.12/1.38 (define @t665 () (tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 @t23 @t74 @t3)) % 1.12/1.38 (define @t666 () (tptp.hBOOL (tptp.hAPP @t74 @t665))) % 1.12/1.38 (define @t667 () (tptp.hBOOL (tptp.hAPP @t406 @t115))) % 1.12/1.38 (define @t668 () (@var "V_l" $$unsorted)) % 1.12/1.38 (define @t669 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t585 @t668) @t317))) % 1.12/1.38 (define @t670 () (not @t669)) % 1.12/1.38 (define @t671 () (@var "V_u" $$unsorted)) % 1.12/1.38 (define @t672 () (tptp.hAPP @t584 @t317)) % 1.12/1.38 (define @t673 () (tptp.hBOOL (tptp.hAPP @t672 @t671))) % 1.12/1.38 (define @t674 () (not @t673)) % 1.12/1.38 (define @t675 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_SetInterval_Oord_OatLeastLessThan @t585 @t584 @t668 @t671 @t3)))) % 1.12/1.38 (define @t676 () (tptp.hBOOL (tptp.hAPP @t278 (tptp.c_Set_Oinsert @t8 @t23 @t3)))) % 1.12/1.38 (define @t677 () (tptp.c_FuncSet_Orestrict @t68 @t23 @t67 @t3)) % 1.12/1.38 (define @t678 () (tptp.hAPP @t677 @t2)) % 1.12/1.38 (define @t679 () (@list @t68 @t23 @t67 @t3 @t2)) % 1.12/1.38 (define @t680 () (tptp.hAPP @t585 @t317)) % 1.12/1.38 (define @t681 () (tptp.hBOOL (tptp.hAPP @t680 @t671))) % 1.12/1.38 (define @t682 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_SetInterval_Oord_OatLeastAtMost @t585 @t668 @t671 @t3)))) % 1.12/1.38 (define @t683 () (tptp.hBOOL (tptp.hAPP @t74 @t1))) % 1.12/1.38 (define @t684 () (not @t683)) % 1.12/1.38 (define @t685 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t665) @t23))) % 1.12/1.38 (define @t686 () (not (tptp.hBOOL (tptp.hAPP @t150 @t137)))) % 1.12/1.38 (define @t687 () (@list @t74 @t2 @t3)) % 1.12/1.38 (define @t688 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t668) @t317))) % 1.12/1.38 (define @t689 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t584 @t668 @t671 @t3)))) % 1.12/1.38 (define @t690 () (tptp.hBOOL (tptp.hAPP @t406 @t181))) % 1.12/1.38 (define @t691 () (not @t690)) % 1.12/1.38 (define @t692 () (tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 @t23 @t74 @t3)) % 1.12/1.38 (define @t693 () (@list @t74 @t23 @t3 @t2)) % 1.12/1.38 (define @t694 () (tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 @t23 @t74 @t3)) % 1.12/1.38 (define @t695 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 @t23 @t74 @t73 @t3)) % 1.12/1.38 (define @t696 () (not (tptp.hBOOL (tptp.hAPP @t74 @t695)))) % 1.12/1.38 (define @t697 () (not (tptp.hBOOL (tptp.hAPP @t73 @t695)))) % 1.12/1.38 (define @t698 () (@var "V_xf" $$unsorted)) % 1.12/1.38 (define @t699 () (@var "V_xg" $$unsorted)) % 1.12/1.38 (define @t700 () (tptp.hBOOL (tptp.hAPP @t562 @t259))) % 1.12/1.38 (define @t701 () (not (= @t143 @t446))) % 1.12/1.38 (define @t702 () (@list @t2 @t38 @t546)) % 1.12/1.38 (define @t703 () (tptp.c_Relation_Oconverse @t276 @t3 @t67)) % 1.12/1.38 (define @t704 () (tptp.hAPP @t120 @t102)) % 1.12/1.38 (define @t705 () (= (tptp.hAPP (tptp.hAPP @t99 @t121) @t42) @t704)) % 1.12/1.38 (define @t706 () (= @t704 (tptp.hAPP @t101 @t228))) % 1.12/1.38 (define @t707 () (tptp.hAPP @t114 @t94)) % 1.12/1.38 (define @t708 () (not (= (tptp.hAPP (tptp.hAPP @t99 @t23) @t22) @t108))) % 1.12/1.38 (define @t709 () (tptp.c_HOL_Ominus__class_Ominus @t227 @t94 @t24)) % 1.12/1.38 (define @t710 () (tptp.c_FuncSet_Ocompose @t23 @t87 @t68 @t3 @t67 @t86)) % 1.12/1.38 (define @t711 () (= @t68 @t87)) % 1.12/1.38 (define @t712 () (tptp.c_FuncSet_Osko__FuncSet__XextensionalityI__1__1 @t23 @t68 @t87 @t3 @t67)) % 1.12/1.38 (define @t713 () (tptp.hBOOL (tptp.hAPP @t547 (tptp.c_Arrow__Order__Mirabelle_Omktop @t546 @t42)))) % 1.12/1.38 (define @t714 () (= @t1 @t203)) % 1.12/1.38 (define @t715 () (not (= @t428 (tptp.c_Set_Oinsert @t201 (tptp.c_Set_Oinsert @t203 @t137 @t3) @t3)))) % 1.12/1.38 (define @t716 () (@list @t1 @t8 @t3 @t201 @t203)) % 1.12/1.38 (define @t717 () (= @t8 @t203)) % 1.12/1.38 (define @t718 () (tptp.hAPP @t586 @t23)) % 1.12/1.38 (define @t719 () (tptp.hAPP @t587 @t23)) % 1.12/1.38 (define @t720 () (not (tptp.hBOOL (tptp.hAPP @t418 @t198)))) % 1.12/1.38 (define @t721 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 @t23 @t22 @t74 @t67 @t3)) % 1.12/1.38 (define @t722 () (tptp.c_Fun_Oinj__on @t459 @t23 @t3 @t67)) % 1.12/1.38 (define @t723 () (@var "V_f_H" $$unsorted)) % 1.12/1.38 (define @t724 () (@var "V_upd" $$unsorted)) % 1.12/1.38 (define @t725 () (tptp.hAPP @t724 @t68)) % 1.12/1.38 (define @t726 () (tptp.hAPP @t725 @t2)) % 1.12/1.38 (define @t727 () (@var "V_acc" $$unsorted)) % 1.12/1.38 (define @t728 () (tptp.hAPP @t727 @t2)) % 1.12/1.38 (define @t729 () (tptp.hAPP @t68 @t728)) % 1.12/1.38 (define @t730 () (not (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t724 @t727 @t3 @t67))) % 1.12/1.38 (define @t731 () (= (tptp.hAPP @t120 @t121) @t121)) % 1.12/1.38 (define @t732 () (tptp.hBOOL (tptp.hAPP @t422 (tptp.c_Relation_Oconverse @t276 @t67 @t3)))) % 1.12/1.38 (define @t733 () (tptp.hAPP @t425 (tptp.c_Pair @t8 @t1 @t67 @t3))) % 1.12/1.38 (define @t734 () (tptp.hBOOL (tptp.hAPP @t733 @t276))) % 1.12/1.38 (define @t735 () (@list @t67 @t3 @t8 @t1 @t276)) % 1.12/1.38 (define @t736 () (not @t554)) % 1.12/1.38 (define @t737 () (not (= @t421 (tptp.c_Pair @t474 @t473 @t3 @t67)))) % 1.12/1.38 (define @t738 () (@list @t1 @t8 @t3 @t67 @t474 @t473)) % 1.12/1.38 (define @t739 () (tptp.c_Set_OPow @t23 @t3)) % 1.12/1.38 (define @t740 () (tptp.hBOOL (tptp.hAPP @t399 @t2))) % 1.12/1.38 (define @t741 () (tptp.hBOOL (tptp.hAPP @t23 @t143))) % 1.12/1.38 (define @t742 () (tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 @t23 @t74 @t3)) % 1.12/1.38 (define @t743 () (not @t689)) % 1.12/1.38 (define @t744 () (not @t667)) % 1.12/1.38 (define @t745 () (@list @t68 @t2 @t38 @t3 @t23 @t67)) % 1.12/1.38 (define @t746 () (tptp.hBOOL (tptp.hAPP @t278 @t569))) % 1.12/1.38 (define @t747 () (tptp.hBOOL (tptp.hAPP @t680 @t324))) % 1.12/1.38 (define @t748 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_SetInterval_Oord_OatMost @t585 @t324 @t3)))) % 1.12/1.38 (define @t749 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t695) @t23))) % 1.12/1.38 (define @t750 () (@var "V_xd" $$unsorted)) % 1.12/1.38 (define @t751 () (@var "V_xe" $$unsorted)) % 1.12/1.38 (define @t752 () (@list @t3 @t23 @t74 @t2)) % 1.12/1.38 (define @t753 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t324) @t317))) % 1.12/1.38 (define @t754 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_SetInterval_Oord_OgreaterThan @t584 @t324 @t3)))) % 1.12/1.38 (define @t755 () (@list @t3 @t317 @t584 @t324)) % 1.12/1.38 (define @t756 () (tptp.hBOOL (tptp.hAPP @t562 @t22))) % 1.12/1.38 (define @t757 () (tptp.hBOOL (tptp.hAPP @t278 @t398))) % 1.12/1.38 (define @t758 () (tptp.hAPP @t149 @t561)) % 1.12/1.38 (define @t759 () (tptp.hAPP @t298 @t1)) % 1.12/1.38 (define @t760 () (not @t682)) % 1.12/1.38 (define @t761 () (tptp.hBOOL (tptp.hAPP @t74 @t415))) % 1.12/1.38 (define @t762 () (tptp.hBOOL (tptp.hAPP @t672 @t324))) % 1.12/1.38 (define @t763 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_SetInterval_Oord_OlessThan @t584 @t324 @t3)))) % 1.12/1.38 (define @t764 () (tptp.hAPP @t198 @t8)) % 1.12/1.38 (define @t765 () (tptp.tc_fun @t86 tptp.tc_bool)) % 1.12/1.38 (define @t766 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t22 @t3 (tptp.tc_fun @t67 @t765)) @t8) @t201))) % 1.12/1.38 (define @t767 () (tptp.hBOOL (tptp.hAPP @t321 @t8))) % 1.12/1.38 (define @t768 () (tptp.hAPP @t322 @t8)) % 1.12/1.38 (define @t769 () (not @t675)) % 1.12/1.38 (define @t770 () (tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 @t23 @t74 @t3)) % 1.12/1.38 (define @t771 () (tptp.hBOOL (tptp.hAPP @t303 @t185))) % 1.12/1.38 (define @t772 () (tptp.hAPP @t298 @t143)) % 1.12/1.38 (define @t773 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 @t23 @t22 @t68 @t3 @t67)) % 1.12/1.38 (define @t774 () (tptp.hBOOL (tptp.hAPP @t454 @t458))) % 1.12/1.38 (define @t775 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 @t23 @t22 @t68 @t3 @t67)) % 1.12/1.38 (define @t776 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 @t201) @t23))) % 1.12/1.38 (define @t777 () (tptp.c_Set_Ovimage @t575 @t23 @t3 @t67)) % 1.12/1.38 (define @t778 () (@list @t201 @t67 @t3 @t23)) % 1.12/1.38 (define @t779 () (tptp.c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1 @t23 @t22 @t68 @t3 @t67)) % 1.12/1.38 (define @t780 () (tptp.hBOOL (tptp.hAPP @t460 @t452))) % 1.12/1.38 (define @t781 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t67 @t86)) @t87) (tptp.c_FuncSet_OPi @t22 (tptp.c_COMBK @t21 @t765 @t67) @t67 @t86))))) % 1.12/1.38 (define @t782 () (@var "T_d" $$unsorted)) % 1.12/1.38 (define @t783 () (@var "V_h" $$unsorted)) % 1.12/1.38 (define @t784 () (@var "V_va" $$unsorted)) % 1.12/1.38 (define @t785 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t38 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546))) % 1.12/1.38 (define @t786 () (tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 @t23 @t22 @t68 @t3 @t67)) % 1.12/1.38 (define @t787 () (not @t774)) % 1.12/1.38 (define @t788 () (tptp.hBOOL (tptp.hAPP @t772 @t198))) % 1.12/1.38 (define @t789 () (@list @t67 @t68 @t2 @t22 @t3 @t23)) % 1.12/1.38 (define @t790 () (not (tptp.hBOOL (tptp.hAPP @t447 @t21)))) % 1.12/1.38 (define @t791 () (tptp.hBOOL (tptp.hAPP @t555 @t435))) % 1.12/1.38 (define @t792 () (tptp.c_COMBK @t21 @t24 @t67)) % 1.12/1.38 (define @t793 () (@list @t546 @t2)) % 1.12/1.38 (define @t794 () (@list @t546 @t2 @t38)) % 1.12/1.38 (define @t795 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 (tptp.c_Relation_Oconverse @t546 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (define @t796 () (@list @t546)) % 1.12/1.38 (define @t797 () (tptp.hBOOL (tptp.hAPP @t234 @t2))) % 1.12/1.38 (define @t798 () (tptp.hBOOL (tptp.hAPP @t150 @t234))) % 1.12/1.38 (define @t799 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 tptp.v_Lab____) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (define @t800 () (tptp.tc_fun @t479 tptp.tc_bool)) % 1.12/1.38 (define @t801 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t480 @t479)) tptp.v_F) (tptp.c_FuncSet_OPi tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK tptp.c_Arrow__Order__Mirabelle_OLin @t800 @t480) @t480 @t479)))) % 1.12/1.38 (define @t802 () (tptp.c_COMBK tptp.v_Lab____ @t479 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 1.12/1.38 (define @t803 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP tptp.v_F @t802)) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (define @t804 () (@var "T_1" $$unsorted)) % 1.12/1.38 (define @t805 () (@var "T_2" $$unsorted)) % 1.12/1.38 (define @t806 () (tptp.tc_fun @t805 @t804)) % 1.12/1.38 (define @t807 () (@list @t805 @t804)) % 1.12/1.38 (define @t808 () (not (tptp.class_Lattices_Olattice @t804))) % 1.12/1.38 (define @t809 () (not @t799)) % 1.12/1.38 (define @t810 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t802) tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.12/1.38 (define @t811 () (or @t810 @t809)) % 1.12/1.38 (define @t812 () (@list false false)) % 1.12/1.38 (define @t813 () (not @t801)) % 1.12/1.38 (define @t814 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals @t800) (tptp.c_Set_Oimage tptp.v_F tptp.c_Arrow__Order__Mirabelle_OProf @t480 @t479)) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (define @t815 () (or @t814 @t813)) % 1.12/1.38 (define @t816 () (not @t814)) % 1.12/1.38 (define @t817 () (not @t810)) % 1.12/1.38 (define @t818 () (or @t803 @t817 @t816)) % 1.12/1.38 (define @t819 () (not @t818)) % 1.12/1.38 (assume @p1 (forall @t14 (or @t13 @t12 @t7))) % 1.12/1.38 (assume @p2 (forall (@list @t3 @t8 @t2 @t1) (or @t13 @t18 @t16))) % 1.12/1.38 (assume @p3 (forall (@list @t3 @t1 @t2 @t8) (or @t13 @t20 @t16))) % 1.12/1.38 (assume @p4 (forall @t34 (or @t33 @t31))) % 1.12/1.38 (assume @p5 (forall @t37 (or @t36 @t31))) % 1.12/1.38 (assume @p6 (forall @t47 (or @t46 @t45 @t44 @t41))) % 1.12/1.38 (assume @p7 (forall @t47 (or @t46 @t53 @t44 @t51))) % 1.12/1.38 (assume @p8 (forall @t47 (or @t46 @t53 @t54 @t41))) % 1.12/1.38 (assume @p9 (forall @t61 (or @t60 @t59 @t58 @t56))) % 1.12/1.38 (assume @p10 (forall @t62 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t2) @t2)))) % 1.12/1.38 (assume @p11 (forall @t63 (tptp.hBOOL (tptp.hAPP @t32 @t23)))) % 1.12/1.38 (assume @p12 (forall @t34 (or @t33 @t66 @t65))) % 1.12/1.38 (assume @p13 (forall @t72 (or @t71 @t65 @t70))) % 1.12/1.38 (assume @p14 (forall (@list @t73 @t2 @t74 @t3) (or @t78 @t77 @t75))) % 1.12/1.38 (assume @p15 (forall @t14 (or @t13 @t12 @t80))) % 1.12/1.38 (assume @p16 (forall @t61 (or @t13 @t59 @t84))) % 1.12/1.38 (assume @p17 (forall @t85 (or @t13 @t57 @t84))) % 1.12/1.38 (assume @p18 (forall (@list @t68 @t87 @t23 @t86 @t67 @t3) (= (tptp.c_Set_Oimage @t68 (tptp.c_Set_Oimage @t87 @t23 @t86 @t67) @t67 @t3) (tptp.c_Set_Oimage (tptp.c_COMBB @t68 @t87 @t67 @t3 @t86) @t23 @t86 @t3)))) % 1.12/1.38 (assume @p19 (forall @t37 (= (tptp.hAPP (tptp.hAPP @t25 @t94) @t23) (tptp.hAPP (tptp.hAPP @t92 @t91) @t89)))) % 1.12/1.38 (assume @p20 (forall @t97 (= (tptp.hAPP @t26 @t94) (tptp.hAPP @t96 @t95)))) % 1.12/1.38 (assume @p21 (forall @t105 (or @t104 (= @t103 @t100)))) % 1.12/1.38 (assume @p22 (forall @t85 (or @t104 (= (tptp.hAPP (tptp.hAPP @t9 @t102) @t2) (tptp.hAPP (tptp.hAPP @t99 @t107) (tptp.hAPP (tptp.hAPP @t9 @t42) @t2)))))) % 1.12/1.38 (assume @p23 (forall @t62 (or (not (tptp.class_Orderings_Otop @t3)) (tptp.hBOOL (tptp.hAPP @t5 @t108))))) % 1.12/1.38 (assume @p24 (forall @t63 (tptp.hBOOL (tptp.hAPP @t32 @t109)))) % 1.12/1.38 (assume @p25 (forall @t117 (or @t116 (not @t113) @t112))) % 1.12/1.38 (assume @p26 (forall @t119 (tptp.hBOOL (tptp.hAPP @t118 @t22)))) % 1.12/1.38 (assume @p27 (forall @t119 (tptp.hBOOL (tptp.hAPP @t118 @t23)))) % 1.12/1.38 (assume @p28 (forall @t125 (or @t124 @t123))) % 1.12/1.38 (assume @p29 (forall @t125 (or @t124 @t126))) % 1.12/1.38 (assume @p30 (forall @t14 (or @t124 @t129 @t80 @t7))) % 1.12/1.38 (assume @p31 (forall @t105 (or @t124 @t131 @t130 @t56))) % 1.12/1.38 (assume @p32 (forall @t125 (or @t132 @t126))) % 1.12/1.38 (assume @p33 (forall @t125 (or @t132 @t123))) % 1.12/1.38 (assume @p34 (forall @t136 (or (tptp.hBOOL (tptp.hAPP @t29 (tptp.hAPP @t88 @t134))) @t135 @t133))) % 1.12/1.38 (assume @p35 (forall @t139 (tptp.hBOOL (tptp.hAPP @t138 @t137)))) % 1.12/1.38 (assume @p36 (forall @t141 (or @t140 (not (tptp.hBOOL (tptp.hAPP @t32 @t137)))))) % 1.12/1.38 (assume @p37 (forall (@list @t68 @t2 @t142 @t3) (= (tptp.c_Fun_Ofun__upd @t68 @t2 @t143 @t142 @t3) @t68))) % 1.12/1.38 (assume @p38 (forall (@list @t68 @t2 @t38 @t3 @t142) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t68 @t2 @t38 @t3 @t142) @t2) @t38))) % 1.12/1.38 (assume @p39 (forall (@list @t68 @t2 @t3 @t67) (= (tptp.c_Fun_Ofun__upd @t68 @t2 @t143 @t3 @t67) @t68))) % 1.12/1.38 (assume @p40 (forall (@list @t68 @t2 @t38 @t67 @t3) (= (tptp.hAPP @t144 @t2) @t38))) % 1.12/1.38 (assume @p41 (forall (@list @t68 @t2 @t67 @t3) (= (tptp.c_Fun_Ofun__upd @t68 @t2 @t143 @t67 @t3) @t68))) % 1.12/1.38 (assume @p42 (forall @t154 (or @t153 @t65 @t151 @t148))) % 1.12/1.38 (assume @p43 (forall @t119 (or (not @t155) @t64))) % 1.12/1.38 (assume @p44 (forall @t119 (or (= @t27 @t23) @t156))) % 1.12/1.38 (assume @p45 (forall @t119 (or @t155 @t65))) % 1.12/1.38 (assume @p46 (forall @t125 (or @t13 @t157 @t56))) % 1.12/1.38 (assume @p47 (forall @t125 (or @t13 (not @t157) @t55))) % 1.12/1.38 (assume @p48 (forall @t125 (or @t13 (= @t82 @t2) @t41))) % 1.12/1.38 (assume @p49 (forall @t125 (or @t60 @t55 @t160))) % 1.12/1.38 (assume @p50 (forall @t125 (or @t46 @t55 @t160))) % 1.12/1.38 (assume @p51 (forall @t167 (or @t166 @t165 @t163))) % 1.12/1.38 (assume @p52 (forall @t119 (or @t64 @t148))) % 1.12/1.38 (assume @p53 (forall @t170 (or @t124 @t169 (not (tptp.hBOOL (tptp.hAPP @t168 @t2)))))) % 1.12/1.38 (assume @p54 (forall @t170 (or @t124 @t169 (not (tptp.hBOOL (tptp.hAPP @t171 @t2)))))) % 1.12/1.38 (assume @p55 (forall @t125 (or @t132 (= (tptp.hAPP @t120 @t82) @t2)))) % 1.12/1.38 (assume @p56 (forall @t125 (or @t173 @t172 @t159 @t50))) % 1.12/1.38 (assume @p57 (forall @t174 (or @t173 @t50 @t172 @t159))) % 1.12/1.38 (assume @p58 (forall @t125 (or @t46 @t172 @t56 @t41))) % 1.12/1.38 (assume @p59 (forall @t125 (or @t46 @t172 @t41 @t56))) % 1.12/1.38 (assume @p60 (forall @t174 (or @t173 @t50 @t159 @t172))) % 1.12/1.38 (assume @p61 (forall @t176 (or @t175 @t156 @t65))) % 1.12/1.38 (assume @p62 (forall @t125 (or @t173 @t172 @t50 @t159))) % 1.12/1.38 (assume @p63 (forall @t174 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t3)) @t50 @t159 @t172))) % 1.12/1.38 (assume @p64 (forall @t125 (or @t132 (= (tptp.hAPP @t81 @t121) @t2)))) % 1.12/1.38 (assume @p65 (forall @t62 (or @t60 @t178))) % 1.12/1.38 (assume @p66 (forall @t62 (or @t173 @t178))) % 1.12/1.38 (assume @p67 (forall @t62 (or @t46 @t178))) % 1.12/1.38 (assume @p68 (forall @t167 (or @t166 @t162 @t180 @t179))) % 1.12/1.38 (assume @p69 (forall @t62 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t145 @t2) @t2))))) % 1.12/1.38 (assume @p70 (forall @t125 (or @t60 @t159 @t40 @t56))) % 1.12/1.38 (assume @p71 (forall @t105 (or @t132 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t103) @t100))))) % 1.12/1.38 (assume @p72 (forall @t136 (or (tptp.hBOOL (tptp.hAPP @t182 (tptp.c_HOL_Ominus__class_Ominus @t21 @t134 @t24))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t134) @t22))) @t133))) % 1.12/1.38 (assume @p73 (forall @t184 (= (tptp.c_Fun_Ofun__upd @t183 @t2 @t42 @t3 @t67) (tptp.c_Fun_Ofun__upd @t68 @t2 @t42 @t3 @t67)))) % 1.12/1.38 (assume @p74 (forall (@list @t23 @t68 @t67 @t3 @t22) (or (tptp.c_Fun_Oinj__on @t186 @t22 @t3 @t67) (not (tptp.hBOOL (tptp.hAPP @t35 @t185)))))) % 1.12/1.38 (assume @p75 (forall @t154 (or @t153 @t65 @t151 @t187))) % 1.12/1.38 (assume @p76 (forall @t189 (or @t64 @t151 @t187 @t188))) % 1.12/1.38 (assume @p77 (forall @t63 (= (tptp.hAPP @t26 @t137) @t23))) % 1.12/1.38 (assume @p78 (forall @t191 (= (tptp.hAPP @t190 @t22) @t22))) % 1.12/1.38 (assume @p79 (forall @t62 (or @t193 (= (tptp.hAPP (tptp.hAPP @t9 @t192) @t2) @t2)))) % 1.12/1.38 (assume @p80 (forall @t62 (or @t193 (= (tptp.hAPP @t81 @t192) @t2)))) % 1.12/1.38 (assume @p81 (forall @t189 (or @t197 @t196))) % 1.12/1.38 (assume @p82 (forall @t189 (or @t197 @t200))) % 1.12/1.38 (assume @p83 (forall (@list @t22 @t2 @t23 @t3) (or @t199 @t195 (not @t197)))) % 1.12/1.38 (assume @p84 (forall @t63 (not (tptp.hBOOL (tptp.hAPP @t146 @t137))))) % 1.12/1.38 (assume @p85 (forall (@list @t204 @t1 @t8 @t3 @t67 @t201 @t203) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t204 @t1 @t8 @t3 @t67) @t201 @t203 @t3 @t67) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t204 @t201 @t203 @t3 @t67) @t1 @t8 @t3 @t67)) @t202))) % 1.12/1.38 (assume @p86 (forall @t97 (or @t208 @t112))) % 1.12/1.38 (assume @p87 (forall @t97 (or (not @t208) @t111))) % 1.12/1.38 (assume @p88 (forall (@list @t3 @t209 @t67 @t23 @t22) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Relation_OImage @t209 @t214 @t67 @t3)) (tptp.hAPP (tptp.hAPP @t92 @t211) @t210))))) % 1.12/1.38 (assume @p89 (forall (@list @t2 @t42 @t68 @t3 @t67) (or @t215 (not (tptp.c_Finite__Set_Ofold__graph @t68 @t42 @t137 @t2 @t3 @t67))))) % 1.12/1.38 (assume @p90 (forall (@list @t3 @t22 @t1) (tptp.hBOOL (tptp.hAPP @t35 @t216)))) % 1.12/1.38 (assume @p91 (forall (@list @t209 @t67 @t3) (= (tptp.c_Relation_OImage @t209 @t217 @t67 @t3) @t137))) % 1.12/1.38 (assume @p92 (forall @t63 (= (tptp.hAPP @t26 @t109) @t109))) % 1.12/1.38 (assume @p93 (forall @t191 (= (tptp.hAPP (tptp.hAPP @t25 @t109) @t22) @t109))) % 1.12/1.38 (assume @p94 (forall @t62 (or @t193 (= (tptp.hAPP (tptp.hAPP @t9 @t108) @t2) @t108)))) % 1.12/1.38 (assume @p95 (forall @t62 (or @t193 (= (tptp.hAPP @t81 @t108) @t108)))) % 1.12/1.38 (assume @p96 (forall @t62 (or (not (tptp.class_Orderings_Obot @t3)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t192) @t2))))) % 1.12/1.38 (assume @p97 (forall @t63 (tptp.hBOOL (tptp.hAPP @t138 @t23)))) % 1.12/1.38 (assume @p98 (forall @t218 (= (tptp.hAPP @t26 @t216) (tptp.c_Set_Oinsert @t1 @t27 @t3)))) % 1.12/1.38 (assume @p99 (forall @t219 (= (tptp.hAPP (tptp.hAPP @t25 @t216) @t21) (tptp.c_Set_Oinsert @t1 @t205 @t3)))) % 1.12/1.38 (assume @p100 (forall (@list @t3 @t23 @t8 @t22) (or (tptp.hBOOL (tptp.hAPP @t32 @t220)) @t65))) % 1.12/1.38 (assume @p101 (forall @t189 (or @t64 @t223))) % 1.12/1.38 (assume @p102 (forall @t37 (= (tptp.hAPP (tptp.hAPP @t92 @t205) @t23) (tptp.hAPP (tptp.hAPP @t25 @t226) @t225)))) % 1.12/1.38 (assume @p103 (forall @t97 (= @t206 (tptp.hAPP @t207 @t227)))) % 1.12/1.38 (assume @p104 (forall @t105 (or @t104 (= @t231 @t229)))) % 1.12/1.38 (assume @p105 (forall @t85 (or @t104 (= (tptp.hAPP (tptp.hAPP @t99 @t230) @t2) (tptp.hAPP (tptp.hAPP @t9 @t232) (tptp.hAPP (tptp.hAPP @t99 @t42) @t2)))))) % 1.12/1.38 (assume @p106 (forall (@list @t23 @t68 @t3 @t67 @t234) (or (= (tptp.c_Set_Oimage @t235 (tptp.c_Set_Oimage @t68 @t234 @t3 @t67) @t67 @t3) @t234) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t234) @t23))) @t233))) % 1.12/1.38 (assume @p107 (forall @t63 (= (tptp.hAPP @t26 @t23) @t23))) % 1.12/1.38 (assume @p108 (forall @t62 (or @t13 (= (tptp.hAPP @t81 @t2) @t2)))) % 1.12/1.38 (assume @p109 (forall @t61 (or @t60 @t237 @t236 @t160))) % 1.12/1.38 (assume @p110 (forall @t34 (or @t239 @t238 @t148))) % 1.12/1.38 (assume @p111 (forall @t62 (or @t46 @t240))) % 1.12/1.38 (assume @p112 (forall @t62 (or @t60 @t240))) % 1.12/1.38 (assume @p113 (forall @t34 (or @t239 @t66 @t148))) % 1.12/1.38 (assume @p114 (forall @t34 (or @t239 @t238 @t65))) % 1.12/1.38 (assume @p115 (forall (@list @t73 @t2 @t3 @t74) (or @t78 @t75 @t77))) % 1.12/1.38 (assume @p116 (forall @t61 (or @t60 @t237 @t236 @t56))) % 1.12/1.38 (assume @p117 (forall @t61 (or @t60 @t237 @t58 @t160))) % 1.12/1.38 (assume @p118 (forall @t136 (or (tptp.hBOOL (tptp.hAPP @t118 (tptp.hAPP @t224 @t134))) @t135 @t133))) % 1.12/1.38 (assume @p119 (forall (@list @t3 @t68 @t23) (or @t241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t68 @t3)) @t23)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 (tptp.hAPP @t68 @t23)) @t23)))))) % 1.12/1.38 (assume @p120 (forall (@list @t67 @t23 @t22 @t242 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t244 @t242 @t67 @t24) (tptp.hAPP (tptp.hAPP @t25 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t242 @t67 @t24)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t22 @t242 @t67 @t24))))) % 1.12/1.38 (assume @p121 (forall (@list @t74 @t2 @t3 @t68 @t67) (or @t76 (not (tptp.hBOOL (tptp.hAPP @t74 (tptp.hAPP @t247 @t246)))) @t245))) % 1.12/1.38 (assume @p122 (forall (@list @t68 @t2 @t38 @t67 @t3 @t42) (or (= (tptp.hAPP @t144 @t42) @t249) @t248))) % 1.12/1.38 (assume @p123 (forall @t184 (or (= (tptp.hAPP @t183 @t42) @t249) @t248))) % 1.12/1.38 (assume @p124 (forall (@list @t22 @t21 @t23 @t3) (or (= (tptp.c_HOL_Ominus__class_Ominus @t22 (tptp.c_HOL_Ominus__class_Ominus @t21 @t23 @t24) @t24) @t23) @t66 @t65))) % 1.12/1.38 (assume @p125 (forall @t256 (or @t255 @t254 @t252 @t41))) % 1.12/1.38 (assume @p126 (forall @t256 (or @t255 @t254 @t40 (not @t252)))) % 1.12/1.38 (assume @p127 (forall @t256 (or @t255 @t254 @t257 @t160))) % 1.12/1.38 (assume @p128 (forall @t256 (or @t255 @t254 @t159 (not @t257)))) % 1.12/1.38 (assume @p129 (forall @t263 (or @t262 @t65))) % 1.12/1.38 (assume @p130 (forall @t264 (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t260 @t2) @t23))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Set_Oimage @t68 @t2 @t67 @t3)) @t185))))) % 1.12/1.38 (assume @p131 (forall (@list @t3 @t1 @t21 @t134) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Set_Oinsert @t1 @t21 @t3)) (tptp.c_Set_Oinsert @t1 @t134 @t3))) (not (tptp.hBOOL (tptp.hAPP @t110 @t134)))))) % 1.12/1.38 (assume @p132 (forall @t139 (= (tptp.hAPP @t190 @t137) @t137))) % 1.12/1.38 (assume @p133 (forall @t268 (or @t46 @t267 @t266 @t265))) % 1.12/1.38 (assume @p134 (forall @t268 (or @t46 @t267 @t265 @t266))) % 1.12/1.38 (assume @p135 (forall @t119 (or @t147 @t175 @t65))) % 1.12/1.38 (assume @p136 (forall @t125 (or @t46 @t172 @t159 @t56))) % 1.12/1.38 (assume @p137 (forall @t125 (or @t46 @t159 @t172 @t56))) % 1.12/1.38 (assume @p138 (forall @t176 (or @t175 @t147 @t65))) % 1.12/1.38 (assume @p139 (forall @t271 (or @t46 @t270 @t266 @t269))) % 1.12/1.38 (assume @p140 (forall @t271 (or @t46 @t270 @t269 @t266))) % 1.12/1.38 (assume @p141 (forall @t125 (or @t173 @t172 @t56 @t159))) % 1.12/1.38 (assume @p142 (forall @t125 (or @t173 @t172 @t159 @t56))) % 1.12/1.38 (assume @p143 (forall @t273 (= (tptp.c_Set_Oimage @t68 @t244 @t67 @t3) (tptp.hAPP (tptp.hAPP @t25 @t185) @t272)))) % 1.12/1.38 (assume @p144 (forall @t271 (or @t46 @t275 @t274))) % 1.12/1.38 (assume @p145 (forall @t125 (or @t173 @t160 @t51))) % 1.12/1.38 (assume @p146 (forall @t174 (or @t173 @t40 @t55))) % 1.12/1.38 (assume @p147 (forall @t174 (or @t60 @t51 @t160))) % 1.12/1.38 (assume @p148 (forall @t268 (or @t60 @t274 @t275))) % 1.12/1.38 (assume @p149 (forall (@list @t3 @t1 @t276 @t23) (or (tptp.hBOOL (tptp.hAPP @t278 @t282)) @t280 @t277))) % 1.12/1.38 (assume @p150 (forall @t154 (or @t153 @t65 @t286 @t148))) % 1.12/1.38 (assume @p151 (forall (@list @t3 @t1 @t8 @t276 @t23) (or @t292 @t290 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t288) @t282))) @t277))) % 1.12/1.38 (assume @p152 (forall (@list @t68 @t42 @t2 @t23 @t3 @t38 @t67) (or (tptp.c_Finite__Set_Ofold__graph @t68 @t42 @t221 @t293 @t3 @t67) (not (tptp.c_Finite__Set_Ofold__graph @t68 @t42 @t23 @t38 @t3 @t67)) @t151))) % 1.12/1.38 (assume @p153 (forall @t189 (or @t64 @t295 @t151))) % 1.12/1.38 (assume @p154 (forall @t154 (or @t294 @t65 @t151))) % 1.12/1.38 (assume @p155 (forall @t189 (or @t64 @t151 @t295))) % 1.12/1.38 (assume @p156 (forall @t296 (or @t187 @t223))) % 1.12/1.38 (assume @p157 (forall @t189 (or @t147 @t297 @t188))) % 1.12/1.38 (assume @p158 (forall @t154 (or @t153 @t297 @t148))) % 1.12/1.38 (assume @p159 (forall (@list @t3 @t2 @t23 @t22) (or @t222 @t65 @t297))) % 1.12/1.38 (assume @p160 (forall (@list @t67 @t23 @t68 @t3 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 (tptp.hAPP @t186 @t2)) @t23)) (not (tptp.hBOOL (tptp.hAPP @t150 @t185)))))) % 1.12/1.38 (assume @p161 (forall (@list @t23 @t68 @t3 @t67 @t2 @t38) (or (not (= (tptp.hAPP @t235 @t2) (tptp.hAPP @t235 @t38))) @t172 (not @t300) (not (tptp.hBOOL (tptp.hAPP @t299 @t259)))))) % 1.12/1.38 (assume @p162 @t304) % 1.12/1.38 (assume @p163 (forall (@list @t68 @t23 @t67 @t3 @t38) (or (= (tptp.hAPP @t68 (tptp.hAPP @t186 @t38)) @t38) (not (tptp.hBOOL (tptp.hAPP @t305 @t185)))))) % 1.12/1.38 (assume @p164 (forall @t307 (or (= @t306 @t185) @t301))) % 1.12/1.38 (assume @p165 (forall @t310 (or @t309 @t308 @t277))) % 1.12/1.38 (assume @p166 (forall @t316 (or @t315 @t312 @t277))) % 1.12/1.38 (assume @p167 (forall (@list @t67 @t242 @t317 @t23 @t3) (or @t320 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t242 @t317)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t242 @t3 @t67))) (not (tptp.hBOOL (tptp.hAPP @t318 @t23)))))) % 1.12/1.38 (assume @p168 (forall (@list @t67 @t22 @t1 @t23 @t3) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t260 @t322) @t321)) @t280))) % 1.12/1.38 (assume @p169 (forall (@list @t3 @t23 @t2 @t22 @t67 @t323) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t194) @t22)) (not (tptp.hBOOL (tptp.hAPP @t299 @t323))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t323 @t23 @t67 @t24)) @t22)))))) % 1.12/1.38 (assume @p170 (forall (@list @t67 @t23 @t324 @t323 @t3) (or (= (tptp.hAPP (tptp.hAPP @t243 (tptp.hAPP @t23 @t324)) @t325) @t325) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t324) @t323)))))) % 1.12/1.38 (assume @p171 (forall @t331 (or @t330 (not @t329)))) % 1.12/1.38 (assume @p172 (forall @t331 (or @t329 (not @t330)))) % 1.12/1.38 (assume @p173 (forall (@list @t23 @t68 @t3 @t67 @t2) (or (= (tptp.hAPP @t235 @t143) @t2) @t332 @t233))) % 1.12/1.38 (assume @p174 (forall (@list @t142 @t2 @t23 @t68 @t3) (or @t334 (not (tptp.c_Fun_Oinj__on @t68 @t23 @t142 @t3)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t23 @t68 @t142 @t3) @t143) @t2)))) % 1.12/1.38 (assume @p175 (forall @t337 (or @t241 (tptp.hBOOL (tptp.hAPP @t5 @t336)) @t332))) % 1.12/1.38 (assume @p176 (forall @t154 (or @t153 @t65 @t286 @t187))) % 1.12/1.38 (assume @p177 (forall @t339 (= @t338 (tptp.hAPP (tptp.hAPP @t25 @t281) @t23)))) % 1.12/1.38 (assume @p178 (forall (@list @t23 @t2 @t3) (or (= @t23 @t283) @t140 (not (tptp.hBOOL (tptp.hAPP @t32 @t283)))))) % 1.12/1.38 (assume @p179 (forall (@list @t3 @t67 @t23 @t22) (= (tptp.hAPP (tptp.hAPP @t25 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t217 @t23 @t67 @t24)) @t22) @t22))) % 1.12/1.38 (assume @p180 (forall (@list @t3 @t23 @t67 @t22) (= (tptp.hAPP @t26 @t340) @t23))) % 1.12/1.38 (assume @p181 (forall (@list @t1 @t23 @t67 @t22 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t1 @t23 @t67) @t22 @t67 @t24) (tptp.hAPP (tptp.hAPP @t25 @t322) @t341)))) % 1.12/1.38 (assume @p182 (forall (@list @t3 @t68 @t67 @t23 @t22) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Set_Oimage @t68 @t214 @t67 @t3)) (tptp.hAPP (tptp.hAPP @t92 @t185) @t272))))) % 1.12/1.38 (assume @p183 (forall (@list @t68 @t87 @t86 @t3 @t67) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t68 @t87 @t86 @t3 @t67) @t342 @t67 @t3) (tptp.c_Set_Oimage @t68 (tptp.c_Set_Oimage @t87 @t342 @t67 @t86) @t86 @t3)))) % 1.12/1.38 (assume @p184 (forall (@list @t23 @t22 @t68 @t86 @t3 @t67) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 (tptp.c_COMBB @t22 @t68 @t86 @t24 @t67) @t67 @t24) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t68 @t23 @t67 @t86) @t22 @t86 @t24)))) % 1.12/1.38 (assume @p185 (forall (@list @t68 @t23 @t86 @t67 @t22 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t68 @t23 @t86 @t67) @t22 @t67 @t24) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 (tptp.c_COMBB @t22 @t68 @t67 @t24 @t86) @t86 @t24)))) % 1.12/1.38 (assume @p186 (forall @t343 (or @t241 (= (tptp.hAPP @t335 @t338) (tptp.hAPP @t10 @t336))))) % 1.12/1.38 (assume @p187 (forall @t72 (or @t346 @t345 @t175))) % 1.12/1.38 (assume @p188 (forall @t350 (or (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t349 @t23))) @t348))) % 1.12/1.38 (assume @p189 (forall (@list @t3 @t68 @t23 @t67 @t22) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Ominus__class_Ominus @t185 @t272 @t24)) (tptp.c_Set_Oimage @t68 @t351 @t67 @t3))))) % 1.12/1.38 (assume @p190 (forall @t119 (= (tptp.hAPP @t352 @t115) @t23))) % 1.12/1.38 (assume @p191 (forall @t355 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t205 @t24) (tptp.hAPP @t354 @t353)))) % 1.12/1.38 (assume @p192 (forall @t355 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t94 @t24) (tptp.hAPP @t352 @t353)))) % 1.12/1.38 (assume @p193 (forall (@list @t3 @t68 @t67 @t2) (or (= (tptp.hAPP @t247 @t143) @t2) @t245))) % 1.12/1.38 (assume @p194 (forall @t358 (or @t357 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t356 @t68 @t142 @t3) @t143) @t2)))) % 1.12/1.38 (assume @p195 (forall (@list @t3 @t23 @t2) (or @t241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t360) @t2)) @t332))) % 1.12/1.38 (assume @p196 (forall @t363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t362) @t23)))) % 1.12/1.38 (assume @p197 (forall @t119 (or @t64 (not @t366)))) % 1.12/1.38 (assume @p198 (forall @t119 (or @t366 @t65))) % 1.12/1.38 (assume @p199 (forall (@list @t3 @t23 @t276) (or (= (tptp.hAPP @t349 @t367) @t23) @t277))) % 1.12/1.38 (assume @p200 (forall @t119 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t368 @t23)) @t22)) @t348))) % 1.12/1.38 (assume @p201 (forall @t316 (or @t371 @t370 @t332 @t277 @t311))) % 1.12/1.38 (assume @p202 (forall @t316 (or @t315 @t312 @t370 @t332 @t277))) % 1.12/1.38 (assume @p203 (forall @t316 (or @t371 @t277 @t311 @t370 @t332))) % 1.12/1.38 (assume @p204 (forall @t310 (or (not @t309) @t292 @t290 @t277))) % 1.12/1.38 (assume @p205 (forall @t139 (or @t241 (tptp.c_Complete__Lattice_Ocomplete__lattice @t335 @t359 (tptp.c_COMBC @t4 @t3 @t3 tptp.tc_bool) (tptp.c_COMBC @t48 @t3 @t3 tptp.tc_bool) @t9 @t99 @t108 @t192 @t3)))) % 1.12/1.38 (assume @p206 (forall @t154 (or @t372 @t332 @t295))) % 1.12/1.38 (assume @p207 (forall @t154 (or @t294 @t332 @t373))) % 1.12/1.38 (assume @p208 (forall @t154 (or @t285 @t332 @t187 @t188))) % 1.12/1.38 (assume @p209 (forall @t47 (or @t46 @t53 @t54 @t51))) % 1.12/1.38 (assume @p210 (forall (@list @t209 @t67 @t23 @t22 @t3) (= (tptp.c_Relation_OImage @t209 @t244 @t67 @t3) (tptp.hAPP (tptp.hAPP @t25 @t211) @t210)))) % 1.12/1.38 (assume @p211 (forall (@list @t74 @t73 @t67 @t3 @t86 @t209) (= (tptp.hAPP (tptp.c_COMBB @t74 @t73 @t67 @t3 @t86) @t209) (tptp.hAPP @t74 (tptp.hAPP @t73 @t209))))) % 1.12/1.38 (assume @p212 (forall @t125 (or @t173 @t159 @t40))) % 1.12/1.38 (assume @p213 (forall @t62 (or @t173 (not @t240) @t178))) % 1.12/1.38 (assume @p214 (forall @t62 (or @t173 @t177 @t240))) % 1.12/1.38 (assume @p215 (forall @t125 (or @t173 @t160 @t41))) % 1.12/1.38 (assume @p216 (forall @t174 (or @t173 @t40 @t159))) % 1.12/1.38 (assume @p217 (forall @t125 (or @t173 @t56 @t51))) % 1.12/1.38 (assume @p218 (forall @t174 (or @t173 @t50 @t55))) % 1.12/1.38 (assume @p219 (forall (@list @t67 @t3 @t87 @t68) (or @t166 (not @t180) @t163))) % 1.12/1.38 (assume @p220 (forall @t174 (or @t60 @t41 @t160))) % 1.12/1.38 (assume @p221 (forall @t97 (= @t374 (tptp.hAPP @t90 @t95)))) % 1.12/1.38 (assume @p222 (forall @t97 (= (tptp.hAPP (tptp.hAPP @t25 @t27) @t21) @t374))) % 1.12/1.38 (assume @p223 (forall @t105 (or @t13 @t376))) % 1.12/1.38 (assume @p224 (forall @t105 (or @t13 @t377))) % 1.12/1.38 (assume @p225 (forall @t105 (or @t132 @t377))) % 1.12/1.38 (assume @p226 (forall @t105 (or @t132 @t376))) % 1.12/1.38 (assume @p227 (forall @t119 (or (= @t115 @t23) @t65))) % 1.12/1.38 (assume @p228 (forall @t119 (or (= @t115 @t22) @t156))) % 1.12/1.38 (assume @p229 (forall @t125 (or @t124 @t378 @t56))) % 1.12/1.38 (assume @p230 (forall @t125 (or @t124 (not @t378) @t55))) % 1.12/1.38 (assume @p231 (forall @t125 (or @t124 (= @t121 @t38) @t41))) % 1.12/1.38 (assume @p232 (forall @t97 (or @t30 @t66 @t133))) % 1.12/1.38 (assume @p233 (forall @t350 (tptp.hBOOL (tptp.hAPP @t35 @t27)))) % 1.12/1.38 (assume @p234 (forall @t119 (tptp.hBOOL (tptp.hAPP @t32 @t27)))) % 1.12/1.38 (assume @p235 (forall @t170 (or @t13 @t15 @t380 @t379))) % 1.12/1.38 (assume @p236 (forall @t125 (or @t13 @t381))) % 1.12/1.38 (assume @p237 (forall @t174 (or @t13 @t382))) % 1.12/1.38 (assume @p238 (forall @t85 (or @t13 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t230) @t2)) (not @t45) @t41))) % 1.12/1.38 (assume @p239 (forall @t105 (or @t13 @t83 @t58 @t130))) % 1.12/1.38 (assume @p240 (forall @t174 (or @t132 @t382))) % 1.12/1.38 (assume @p241 (forall @t125 (or @t132 @t381))) % 1.12/1.38 (assume @p242 (forall @t119 (or (= @t384 @t22) @t65))) % 1.12/1.38 (assume @p243 (forall (@list @t3 @t276 @t1 @t8 @t23) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t282) @t288)) @t308 @t277))) % 1.12/1.38 (assume @p244 (forall @t105 (or @t132 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t229) @t231))))) % 1.12/1.38 (assume @p245 (forall @t119 (tptp.hBOOL (tptp.hAPP @t182 @t23)))) % 1.12/1.38 (assume @p246 (forall @t97 (= (tptp.hAPP (tptp.hAPP @t25 (tptp.hAPP @t207 @t94)) @t225) (tptp.hAPP (tptp.hAPP @t92 (tptp.hAPP @t96 @t205)) @t89)))) % 1.12/1.38 (assume @p247 (forall (@list @t68 @t42 @t3 @t67) (tptp.c_Finite__Set_Ofold__graph @t68 @t42 @t137 @t42 @t3 @t67))) % 1.12/1.38 (assume @p248 (forall @t263 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t260 @t361) @t385)) @t65))) % 1.12/1.38 (assume @p249 (forall @t119 (or @t386 (= @t22 @t137)))) % 1.12/1.38 (assume @p250 (forall @t119 (or @t386 @t140))) % 1.12/1.38 (assume @p251 (forall @t119 (or @t193 @t387 (= @t23 @t192)))) % 1.12/1.38 (assume @p252 (forall @t119 (or @t193 @t387 (= @t22 @t192)))) % 1.12/1.38 (assume @p253 (forall @t350 (= (tptp.hAPP (tptp.hAPP @t25 @t383) @t23) @t91))) % 1.12/1.38 (assume @p254 (forall @t119 (= @t384 @t27))) % 1.12/1.38 (assume @p255 (forall @t390 (or (tptp.c_Fun_Obij__betw @t235 @t22 @t23 @t67 @t3) @t389))) % 1.12/1.38 (assume @p256 (forall (@list @t3 @t21 @t22 @t23) (or @t113 @t391))) % 1.12/1.38 (assume @p257 (forall @t117 (or @t111 @t391))) % 1.12/1.38 (assume @p258 (forall @t14 (or @t124 @t6 @t392))) % 1.12/1.38 (assume @p259 (forall (@list @t3 @t2 @t8 @t1) (or @t124 @t79 @t392))) % 1.12/1.38 (assume @p260 (forall @t170 (or @t124 @t393 @t379))) % 1.12/1.38 (assume @p261 (forall @t170 (or @t124 @t393 @t380))) % 1.12/1.38 (assume @p262 (forall @t105 (or @t124 @t55 @t394))) % 1.12/1.38 (assume @p263 (forall @t61 (or @t124 @t59 @t394))) % 1.12/1.38 (assume @p264 (forall @t97 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t21 @t24) (tptp.hAPP (tptp.hAPP @t25 @t353) @t395)))) % 1.12/1.38 (assume @p265 (forall @t119 (= @t27 @t91))) % 1.12/1.38 (assume @p266 (forall @t125 (or @t13 @t396))) % 1.12/1.38 (assume @p267 (forall @t125 (or @t132 @t396))) % 1.12/1.38 (assume @p268 (forall @t119 (= (tptp.hAPP @t26 @t27) @t27))) % 1.12/1.38 (assume @p269 (forall @t125 (or @t13 @t397))) % 1.12/1.38 (assume @p270 (forall @t125 (or @t132 @t397))) % 1.12/1.38 (assume @p271 (forall @t273 (= (tptp.c_Set_Ovimage @t68 @t244 @t3 @t67) (tptp.hAPP (tptp.hAPP @t25 @t399) @t398)))) % 1.12/1.38 (assume @p272 (forall @t400 (or (not (= @t183 @t68)) (= @t143 @t38)))) % 1.12/1.38 (assume @p273 (forall (@list @t68 @t22 @t3 @t67 @t23) (or @t69 @t345))) % 1.12/1.38 (assume @p274 (forall @t72 (or @t71 @t345))) % 1.12/1.38 (assume @p275 (forall @t97 (or @t402 (not @t401)))) % 1.12/1.38 (assume @p276 (forall @t97 (or @t401 (not @t402)))) % 1.12/1.38 (assume @p277 (forall @t14 (or @t13 @t403 (not (tptp.hBOOL (tptp.hAPP @t158 @t1)))))) % 1.12/1.38 (assume @p278 (forall @t14 (or @t13 @t403 (not (tptp.hBOOL (tptp.hAPP @t158 @t8)))))) % 1.12/1.38 (assume @p279 (forall (@list @t67 @t68 @t2 @t87 @t3) (or @t166 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t319 @t143) (tptp.hAPP @t87 @t2))) @t179))) % 1.12/1.38 (assume @p280 (forall (@list @t3 @t404 @t22 @t23) (or (tptp.hBOOL (tptp.hAPP @t405 @t22)) (not (tptp.hBOOL (tptp.hAPP @t405 @t23))) @t65))) % 1.12/1.38 (assume @p281 (forall @t296 (or @t187 @t65 @t332))) % 1.12/1.38 (assume @p282 (forall @t410 (or @t409 @t408 @t65))) % 1.12/1.38 (assume @p283 (forall @t296 (or @t187 @t332 @t65))) % 1.12/1.38 (assume @p284 (forall @t412 (or @t411 @t408))) % 1.12/1.38 (assume @p285 (forall @t412 (or @t411 @t413))) % 1.12/1.38 (assume @p286 (forall @t410 (or @t409 @t407 (not @t411)))) % 1.12/1.38 (assume @p287 (forall @t410 (or @t409 @t408 @t148))) % 1.12/1.38 (assume @p288 (forall (@list @t23 @t87 @t68 @t3 @t86 @t67) (= @t414 (tptp.c_FuncSet_Orestrict (tptp.c_COMBB @t87 @t68 @t86 @t67 @t3) @t23 @t3 @t67)))) % 1.12/1.38 (assume @p289 (forall (@list @t3 @t23 @t22 @t74 @t2) (or @t416 @t77 @t297))) % 1.12/1.38 (assume @p290 (forall (@list @t3 @t23 @t22 @t74 @t417) (or @t416 @t420 @t419))) % 1.12/1.38 (assume @p291 (forall (@list @t67 @t8 @t276 @t23 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t424 (tptp.c_Relation_OImage @t276 @t23 @t3 @t67))) @t423 @t280))) % 1.12/1.38 (assume @p292 (forall (@list @t3 @t8 @t276 @t23 @t67 @t2) (or (tptp.hBOOL (tptp.hAPP @t289 (tptp.c_Relation_OImage @t276 @t23 @t67 @t3))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 (tptp.c_Pair @t2 @t8 @t67 @t3)) @t276))) @t302))) % 1.12/1.38 (assume @p293 (forall (@list @t3 @t38 @t23 @t2 @t276) (or @t369 @t312 @t277))) % 1.12/1.38 (assume @p294 (forall (@list @t3 @t2 @t23 @t38 @t276) (or @t151 @t312 @t277))) % 1.12/1.38 (assume @p295 (forall (@list @t3 @t1 @t8 @t276 @t2 @t23) (or @t292 (not (tptp.hBOOL (tptp.hAPP @t150 (tptp.hAPP (tptp.hAPP @t92 @t282) @t288)))) @t277))) % 1.12/1.38 (assume @p296 (forall (@list @t68 @t2 @t38 @t3 @t67 @t23) (or (tptp.c_Fun_Oinj__on @t183 @t23 @t3 @t67) @t300 @t233))) % 1.12/1.38 (assume @p297 (forall (@list @t1 @t22 @t3) (= @t216 (tptp.hAPP (tptp.hAPP @t25 @t427) @t22)))) % 1.12/1.38 (assume @p298 (forall @t271 (or @t241 (= (tptp.hAPP @t335 @t428) @t11)))) % 1.12/1.38 (assume @p299 (forall @t154 (or @t294 @t65 @t373))) % 1.12/1.38 (assume @p300 (forall @t432 (or (not (= (tptp.hAPP (tptp.hAPP @t92 @t431) @t23) @t137)) @t430))) % 1.12/1.38 (assume @p301 (forall (@list @t68 @t3 @t23 @t22 @t67 @t21) (or @t434 @t66 @t133 @t433))) % 1.12/1.38 (assume @p302 (forall @t263 (or @t262 @t65 @t245))) % 1.12/1.38 (assume @p303 (forall (@list @t3 @t23 @t22 @t67 @t68) (or @t64 (not @t262) @t245))) % 1.12/1.38 (assume @p304 (forall (@list @t3 @t68 @t67 @t435) (or (= (tptp.c_Set_Oimage @t247 (tptp.c_Set_Oimage @t68 @t435 @t3 @t67) @t67 @t3) @t435) @t245))) % 1.12/1.38 (assume @p305 (forall (@list @t3 @t68 @t67 @t23) (or (= (tptp.c_Set_Oimage @t247 @t259 @t67 @t3) @t23) @t245))) % 1.12/1.38 (assume @p306 (forall (@list @t68 @t23 @t22 @t3 @t67 @t21) (or @t437 @t66 @t133 @t433))) % 1.12/1.38 (assume @p307 (forall @t440 (= (tptp.c_Set_Ovimage @t68 @t439 @t3 @t67) (tptp.hAPP (tptp.hAPP @t25 (tptp.c_Set_Ovimage @t68 @t438 @t3 @t67)) @t398)))) % 1.12/1.38 (assume @p308 (forall @t154 (or @t153 @t332 @t286 @t187))) % 1.12/1.38 (assume @p309 (forall @t154 (or @t153 @t332 @t286 @t148))) % 1.12/1.38 (assume @p310 (forall (@list @t68 @t23 @t1 @t3) (or (= (tptp.c_Finite__Set_Osetsum @t68 @t441 @t3 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t68 @t23 @t3 tptp.tc_nat)) @t279))) % 1.12/1.38 (assume @p311 (forall (@list @t68 @t42 @t23 @t2 @t38 @t3 @t67) (or (tptp.c_Finite__Set_Ofold__graph @t68 @t42 @t23 @t293 @t3 @t67) @t332 (not (tptp.c_Finite__Set_Ofold__graph @t68 @t42 @t284 @t38 @t3 @t67))))) % 1.12/1.38 (assume @p312 (forall @t358 (or @t357 @t444 (= @t143 (tptp.hAPP @t68 @t442))))) % 1.12/1.38 (assume @p313 (forall (@list @t74 @t2 @t67 @t68 @t3) (or @t76 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 @t246) @t445)) @t245))) % 1.12/1.38 (assume @p314 (forall (@list @t68 @t2 @t3 @t142) (or (not (= @t442 @t2)) @t357 @t444))) % 1.12/1.38 (assume @p315 (forall (@list @t8 @t68 @t67 @t3) (or (= @t8 (tptp.hAPP @t68 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t8 @t68 @t67 @t3))) (not (tptp.hBOOL (tptp.hAPP @t424 @t445))) @t245))) % 1.12/1.38 (assume @p316 (forall (@list @t3 @t68 @t38 @t142) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t446) @t443))) @t357 (= @t38 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t446 @t68 @t3 @t142))))) % 1.12/1.38 (assume @p317 (forall (@list @t3 @t21 @t23) (or @t430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t431) @t21))))) % 1.12/1.38 (assume @p318 (forall (@list @t68 @t22 @t3 @t67) (= @t398 (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t298 @t68 @t67 (tptp.tc_fun @t212 tptp.tc_bool) @t3) @t3 @t212 tptp.tc_bool) @t22) @t3)))) % 1.12/1.38 (assume @p319 (forall (@list @t3 @t435 @t449 @t23 @t276) (or (= (tptp.hAPP (tptp.hAPP @t92 @t435) @t449) @t137) @t451 @t450 @t448 @t277))) % 1.12/1.38 (assume @p320 (forall (@list @t3 @t68 @t22 @t67 @t23) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t398) @t23)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t260 @t22) @t259))) @t245))) % 1.12/1.38 (assume @p321 (forall @t263 (or (tptp.hBOOL (tptp.hAPP @t261 @t22)) @t456))) % 1.12/1.38 (assume @p322 (forall @t462 (or @t461 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 (tptp.hAPP @t68 @t457)) (tptp.hAPP @t22 @t457))))))) % 1.12/1.38 (assume @p323 (forall @t462 (or @t461 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t457) @t23))))) % 1.12/1.38 (assume @p324 (forall @t465 (= (tptp.c_FuncSet_Ocompose @t185 @t68 @t464 @t3 @t67 @t3) (tptp.c_FuncSet_Orestrict @t463 @t185 @t3 @t3)))) % 1.12/1.38 (assume @p325 (forall @t390 (or (= (tptp.c_FuncSet_Ocompose @t23 (tptp.c_FuncSet_Orestrict @t235 @t22 @t67 @t3) @t68 @t3 @t67 @t3) @t466) @t389))) % 1.12/1.38 (assume @p326 (forall (@list @t67 @t3 @t1 @t8 @t276) (or @t468 (not @t467)))) % 1.12/1.38 (assume @p327 (forall (@list @t3 @t8 @t276 @t1 @t67) (or @t467 (not @t468)))) % 1.12/1.38 (assume @p328 (forall @t307 (or (= @t306 (tptp.c_Set_Oinsert @t38 (tptp.c_Set_Oimage @t68 (tptp.c_HOL_Ominus__class_Ominus @t23 (tptp.c_Set_Oinsert @t2 @t217 @t67) @t212) @t67 @t3) @t3)) @t302))) % 1.12/1.38 (assume @p329 (forall (@list @t3 @t38 @t2 @t417 @t23 @t276) (or (not (tptp.hBOOL (tptp.hAPP @t305 @t2))) (not (tptp.hBOOL (tptp.hAPP @t418 @t2))) @t470 @t470 @t277 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t291 (tptp.c_Pair @t417 @t38 @t3 @t3)) @t276))))) % 1.12/1.38 (assume @p330 (forall (@list @t435 @t449 @t3 @t2 @t38 @t276 @t23) (or @t451 @t312 (not (tptp.hBOOL (tptp.hAPP @t305 @t449))) (not (tptp.hBOOL (tptp.hAPP @t150 @t435))) @t450 @t448 @t277))) % 1.12/1.38 (assume @p331 (forall (@list @t3 @t276 @t2 @t23) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t314) @t367)) @t332))) % 1.12/1.38 (assume @p332 (forall @t472 (or @t471 @t345))) % 1.12/1.38 (assume @p333 (forall @t472 (or (not @t471) @t70 @t233 @t344))) % 1.12/1.38 (assume @p334 (forall (@list @t3 @t67 @t23 @t68) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t453 @t464) (tptp.c_FuncSet_OPi @t185 (tptp.c_COMBK @t23 @t212 @t3) @t3 @t67))))) % 1.12/1.38 (assume @p335 (forall @t495 (or @t494 @t492 @t490 @t488 @t484 @t482 @t477 @t476 @t475 @t266))) % 1.12/1.38 (assume @p336 (forall @t497 (or @t491 @t496 @t490 @t488 @t484 @t482 @t477 @t476 @t475 @t266))) % 1.12/1.38 (assume @p337 (forall @t495 (or @t494 @t492 @t499 @t498 @t484 @t482 @t477 @t476 @t475 @t266))) % 1.12/1.38 (assume @p338 (forall @t497 (or @t491 @t496 @t499 @t498 @t484 @t482 @t477 @t476 @t475 @t266))) % 1.12/1.38 (assume @p339 (forall @t495 (or @t494 @t492 @t502 @t501 @t484 @t482 @t475 @t266))) % 1.12/1.38 (assume @p340 (forall @t497 (or @t491 @t496 @t502 @t501 @t484 @t482 @t475 @t266))) % 1.12/1.38 (assume @p341 (forall @t495 (or @t494 @t492 @t504 @t503 @t484 @t482 @t475 @t266))) % 1.12/1.38 (assume @p342 (forall @t497 (or @t491 @t496 @t504 @t503 @t484 @t482 @t475 @t266))) % 1.12/1.38 (assume @p343 (forall @t510 (or @t509 @t492 @t508 @t506 @t484 @t482 @t266))) % 1.12/1.38 (assume @p344 (forall @t512 (or @t491 @t511 @t508 @t506 @t484 @t482 @t266))) % 1.12/1.38 (assume @p345 (forall @t510 (or @t509 @t492 @t514 @t513 @t484 @t482 @t266))) % 1.12/1.38 (assume @p346 (forall @t512 (or @t491 @t511 @t514 @t513 @t484 @t482 @t266))) % 1.12/1.38 (assume @p347 (forall @t521 (or @t520 @t492 @t519 @t517 @t484 @t482 @t202 @t515 @t266))) % 1.12/1.38 (assume @p348 (forall @t523 (or @t491 @t522 @t519 @t517 @t484 @t482 @t202 @t515 @t266))) % 1.12/1.38 (assume @p349 (forall @t521 (or @t520 @t492 @t525 @t524 @t484 @t482 @t202 @t515 @t266))) % 1.12/1.38 (assume @p350 (forall @t523 (or @t491 @t522 @t525 @t524 @t484 @t482 @t202 @t515 @t266))) % 1.12/1.38 (assume @p351 (forall @t536 (or @t535 @t534 @t532 @t531 @t529 @t528 @t527))) % 1.12/1.38 (assume @p352 (forall @t538 (or @t533 @t537 @t532 @t531 @t529 @t528 @t527))) % 1.12/1.38 (assume @p353 (forall @t536 (or @t535 @t534 @t540 @t539 @t529 @t528 @t527))) % 1.12/1.38 (assume @p354 (forall @t538 (or @t533 @t537 @t540 @t539 @t529 @t528 @t527))) % 1.12/1.38 (assume @p355 (forall (@list @t1 @t8 @t526 @t2) (or @t533 (not (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP @t2 (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 @t1 @t8 @t2))))) @t528 (not (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t526))))) % 1.12/1.38 (assume @p356 (forall @t542 (or (not @t541) @t370 @t332 @t277 @t311))) % 1.12/1.38 (assume @p357 (forall @t542 (or @t541 @t312 @t370 @t332 @t277))) % 1.12/1.38 (assume @p358 (forall (@list @t435 @t276 @t23 @t3) (or (= @t435 (tptp.c_Relation_OImage @t276 (tptp.c_Set_Oinsert @t543 @t137 @t3) @t3 @t3)) @t448))) % 1.12/1.38 (assume @p359 (forall (@list @t2 @t38 @t23 @t3) (= (tptp.c_Set_Oinsert @t2 @t544 @t3) (tptp.c_Set_Oinsert @t38 @t221 @t3)))) % 1.12/1.38 (assume @p360 (forall @t551 (or @t550 @t549 @t215 @t545))) % 1.12/1.38 (assume @p361 (forall @t551 (or @t550 @t549 @t172 @t545))) % 1.12/1.38 (assume @p362 (forall (@list @t3 @t1 @t23 @t67 @t8 @t22) (or @t279 @t553))) % 1.12/1.38 (assume @p363 (forall (@list @t67 @t8 @t22 @t1 @t3 @t23) (or @t554 @t553))) % 1.12/1.38 (assume @p364 (forall @t432 (or (tptp.hBOOL (tptp.hAPP @t555 @t558)) @t557))) % 1.12/1.38 (assume @p365 (forall @t560 (or @t388 (not @t559)))) % 1.12/1.38 (assume @p366 (forall @t72 (or @t559 @t389))) % 1.12/1.38 (assume @p367 (forall (@list @t68 @t1 @t23 @t3 @t67) (or @t564 @t563 @t233))) % 1.12/1.38 (assume @p368 (forall (@list @t23 @t67 @t22 @t68 @t3) (or (= (tptp.c_FuncSet_Ocompose @t23 (tptp.c_FuncSet_Orestrict (tptp.c_COMBI @t67) @t22 @t67 @t67) @t68 @t3 @t67 @t67) @t68) @t566 @t456))) % 1.12/1.38 (assume @p369 (forall (@list @t23 @t87 @t3 @t67 @t22) (or (= (tptp.c_FuncSet_Ocompose @t23 @t87 @t466 @t3 @t3 @t67) @t87) @t568 (not (tptp.hBOOL (tptp.hAPP @t567 @t452)))))) % 1.12/1.38 (assume @p370 (forall (@list @t74 @t2 @t3 @t23) (or @t76 @t571))) % 1.12/1.38 (assume @p371 (forall @t119 (or @t572 (= @t181 @t23)))) % 1.12/1.38 (assume @p372 (forall (@list @t8 @t1 @t3) (or (= @t8 @t1) (not (tptp.hBOOL (tptp.hAPP @t289 @t281)))))) % 1.12/1.38 (assume @p373 (forall @t432 (or @t574 (not (tptp.hBOOL (tptp.hAPP @t555 @t573)))))) % 1.12/1.38 (assume @p374 (forall (@list @t201 @t67 @t3 @t23 @t2) (or (= (tptp.c_Set_Oimage @t575 @t23 @t3 @t67) (tptp.c_Set_Oinsert @t201 @t217 @t67)) @t332))) % 1.12/1.38 (assume @p375 (forall (@list @t68 @t23 @t3 @t67 @t1) (or @t71 @t576))) % 1.12/1.38 (assume @p376 (forall @t578 (or (= @t577 @t181) @t297))) % 1.12/1.38 (assume @p377 (forall @t579 (= (tptp.c_Set_Oimage @t463 @t449 @t3 @t3) @t449))) % 1.12/1.38 (assume @p378 (forall (@list @t586 @t3 @t580 @t587 @t585 @t584 @t583 @t582 @t581) (or (= (tptp.hAPP @t586 @t109) @t580) @t588))) % 1.12/1.38 (assume @p379 (forall (@list @t587 @t3 @t581 @t586 @t585 @t584 @t583 @t582 @t580) (or (= (tptp.hAPP @t587 @t109) @t581) @t588))) % 1.12/1.38 (assume @p380 (forall @t591 (not (tptp.hBOOL (tptp.hAPP @t590 @t589))))) % 1.12/1.38 (assume @p381 (forall @t593 (not (tptp.hBOOL (tptp.hAPP @t592 @t589))))) % 1.12/1.38 (assume @p382 (forall @t560 (or (tptp.c_Fun_Oinj__on @t68 @t181 @t3 @t67) @t233))) % 1.12/1.38 (assume @p383 (forall @t363 (or (not (= @t137 @t185)) @t594))) % 1.12/1.38 (assume @p384 (forall @t343 (or @t241 (= (tptp.hAPP @t359 @t338) (tptp.hAPP @t127 @t360))))) % 1.12/1.38 (assume @p385 (forall (@list @t68 @t23 @t22 @t67 @t3) (= (tptp.c_Set_Ovimage @t68 @t351 @t3 @t67) (tptp.c_HOL_Ominus__class_Ominus @t399 @t398 @t24)))) % 1.12/1.38 (assume @p386 (forall @t595 (or (= (tptp.c_Set_Ovimage @t68 @t259 @t3 @t67) @t23) @t245))) % 1.12/1.38 (assume @p387 (forall (@list @t74 @t3) (= @t569 @t74))) % 1.12/1.38 (assume @p388 (forall @t596 (= (tptp.c_Set_Ovimage @t68 @t342 @t3 @t67) @t109))) % 1.12/1.38 (assume @p389 (forall @t598 (= @t597 (tptp.c_HOL_Ominus__class_Ominus @t181 @t281 @t24)))) % 1.12/1.38 (assume @p390 (forall @t598 (= @t597 (tptp.c_HOL_Ominus__class_Ominus @t441 @t22 @t24)))) % 1.12/1.38 (assume @p391 (forall @t339 (not (= @t338 @t137)))) % 1.12/1.38 (assume @p392 (forall @t63 (tptp.c_Fun_Oinj__on @t463 @t23 @t3 @t3))) % 1.12/1.38 (assume @p393 (forall (@list @t142 @t1 @t68 @t3) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t333 @t1) (tptp.c_Set_Ovimage @t68 (tptp.c_Set_Oinsert @t561 @t137 @t3) @t142 @t3))))) % 1.12/1.38 (assume @p394 (forall (@list @t3 @t1 @t23 @t22) (= (tptp.hAPP (tptp.hAPP @t92 @t338) @t216) @t599))) % 1.12/1.38 (assume @p395 (forall @t600 (= (tptp.c_Set_Oinsert @t2 @t221 @t3) @t221))) % 1.12/1.38 (assume @p396 (forall (@list @t23 @t2 @t38 @t3) (or @t195 @t602 (not @t601)))) % 1.12/1.38 (assume @p397 (forall (@list @t23 @t22 @t67 @t3 @t2) (or (not (= @t341 @t137)) @t603 @t302))) % 1.12/1.38 (assume @p398 (forall @t62 (or @t193 (= (tptp.hAPP @t120 @t192) @t192)))) % 1.12/1.38 (assume @p399 (forall @t62 (or @t193 (= (tptp.hAPP (tptp.hAPP @t99 @t192) @t2) @t192)))) % 1.12/1.38 (assume @p400 (forall @t191 (= (tptp.hAPP (tptp.hAPP @t92 @t137) @t22) @t137))) % 1.12/1.38 (assume @p401 (forall @t63 (= (tptp.hAPP @t114 @t137) @t137))) % 1.12/1.38 (assume @p402 (forall (@list @t68 @t3 @t23 @t22 @t67) (or @t434 @t245))) % 1.12/1.38 (assume @p403 (forall (@list @t586 @t1 @t8 @t3 @t582 @t587 @t585 @t584 @t583 @t581 @t580) (or (= (tptp.hAPP @t586 @t428) (tptp.hAPP @t604 @t8)) @t588))) % 1.12/1.38 (assume @p404 (forall (@list @t587 @t1 @t8 @t3 @t583 @t586 @t585 @t584 @t582 @t581 @t580) (or (= (tptp.hAPP @t587 @t428) (tptp.hAPP @t605 @t8)) @t588))) % 1.12/1.38 (assume @p405 (forall @t139 (or @t241 (= (tptp.hAPP @t335 @t137) @t192)))) % 1.12/1.38 (assume @p406 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t137 @t24) @t23))) % 1.12/1.38 (assume @p407 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t23 @t24) @t137))) % 1.12/1.38 (assume @p408 (forall (@list @t23 @t67 @t22 @t3) (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t340 @t24) @t23))) % 1.12/1.38 (assume @p409 (forall (@list @t74 @t67 @t86 @t3 @t73 @t209) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t74 @t67 @t86 @t3) @t73) @t209) (tptp.hAPP (tptp.hAPP @t74 @t209) @t73)))) % 1.12/1.38 (assume @p410 (forall (@list @t3 @t74) (= (tptp.hAPP @t463 @t74) @t74))) % 1.12/1.38 (assume @p411 (forall @t176 (= (tptp.c_HOL_Ominus__class_Ominus @t181 @t22 @t24) @t181))) % 1.12/1.38 (assume @p412 (forall (@list @t3 @t68 @t2 @t67) (tptp.hBOOL (tptp.hAPP @t303 @t606)))) % 1.12/1.38 (assume @p413 (forall (@list @t417 @t2 @t3) (= (tptp.c_Set_Oinsert @t417 @t283 @t3) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t417 @t137 @t3) @t3)))) % 1.12/1.38 (assume @p414 (forall (@list @t3 @t417 @t38 @t2) (or @t608 (not (= (tptp.c_HOL_Ominus__class_Ominus @t417 @t38 @t3) @t607)) (= @t417 @t38)))) % 1.12/1.38 (assume @p415 (forall (@list @t3 @t2 @t250 @t251) (or @t608 (not (= @t607 @t253)) (= @t250 @t251)))) % 1.12/1.38 (assume @p416 (forall @t596 (= @t609 @t137))) % 1.12/1.38 (assume @p417 (forall (@list @t68 @t3 @t67) (tptp.c_Fun_Oinj__on @t68 @t137 @t3 @t67))) % 1.12/1.38 (assume @p418 (forall @t119 (= @t115 @t226))) % 1.12/1.38 (assume @p419 (forall @t125 (or @t124 @t610))) % 1.12/1.38 (assume @p420 (forall @t125 (or @t132 @t610))) % 1.12/1.38 (assume @p421 (forall (@list @t586 @t587 @t585 @t3 @t584 @t582 @t583 @t580 @t581) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t586 @t587 (tptp.c_COMBC @t585 @t3 @t3 tptp.tc_bool) (tptp.c_COMBC @t584 @t3 @t3 tptp.tc_bool) @t582 @t583 @t580 @t581 @t3) @t588))) % 1.12/1.38 (assume @p422 (forall @t339 (= @t611 @t338))) % 1.12/1.38 (assume @p423 (forall (@list @t1 @t3 @t8) (or (not (= @t281 @t287)) @t266))) % 1.12/1.38 (assume @p424 (forall @t591 (or @t613 @t613 (tptp.hBOOL (tptp.hAPP @t590 @t612))))) % 1.12/1.38 (assume @p425 (forall (@list @t201 @t3 @t67) (= (tptp.c_Set_Oimage @t614 @t217 @t67 @t3) @t137))) % 1.12/1.38 (assume @p426 (forall (@list @t2 @t417 @t3) (or (not (= (tptp.c_Set_Oinsert @t2 @t417 @t3) @t137)) (tptp.hBOOL (tptp.hAPP @t150 @t417))))) % 1.12/1.38 (assume @p427 (forall @t560 (or @t437 @t245))) % 1.12/1.38 (assume @p428 (forall (@list @t23 @t201 @t3 @t67) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t615 @t67 @t24) @t201) @t594))) % 1.12/1.38 (assume @p429 (forall (@list @t67 @t23 @t242 @t3) (or @t320 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 (tptp.c_COMBK @t242 @t67 @t3) @t3 @t67) @t242) @t140))) % 1.12/1.38 (assume @p430 (forall (@list @t38 @t23 @t3 @t2) (or @t601 @t196))) % 1.12/1.38 (assume @p431 (forall (@list @t68 @t2 @t23 @t3 @t67) (or (= (tptp.c_Set_Oinsert @t143 @t259 @t67) @t259) @t332))) % 1.12/1.38 (assume @p432 (forall @t218 (or (= @t616 @t115) @t279))) % 1.12/1.38 (assume @p433 (forall @t219 (or (= @t618 @t94) @t617))) % 1.12/1.38 (assume @p434 (forall (@list @t67 @t201 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t217 @t615 @t67 @t24) @t137))) % 1.12/1.38 (assume @p435 (forall @t551 (or @t548 @t215 (not @t550)))) % 1.12/1.38 (assume @p436 (forall (@list @t3 @t68 @t67) (= @t137 @t609))) % 1.12/1.38 (assume @p437 (forall @t119 (= (tptp.hAPP @t114 @t383) @t137))) % 1.12/1.38 (assume @p438 (forall @t619 (or @t241 (= (tptp.hAPP @t359 @t281) @t1)))) % 1.12/1.38 (assume @p439 (forall @t620 (or @t151 @t571))) % 1.12/1.38 (assume @p440 (forall @t622 (or (tptp.hBOOL (tptp.hAPP @t487 @t621)) @t266))) % 1.12/1.38 (assume @p441 (forall @t623 (or (not @t563) @t576))) % 1.12/1.38 (assume @p442 (forall (@list @t3 @t21 @t23 @t2) (or (not @t430) (= (tptp.hAPP (tptp.hAPP @t92 @t2) @t23) @t137) (not (tptp.hBOOL (tptp.hAPP @t469 @t21)))))) % 1.12/1.38 (assume @p443 (forall @t578 (or (= @t577 (tptp.c_Set_Oinsert @t2 @t181 @t3)) @t187))) % 1.12/1.38 (assume @p444 (forall (@list @t22 @t2 @t3 @t23) (or @t199 @t625))) % 1.12/1.38 (assume @p445 (forall (@list @t23 @t2 @t3 @t22) (or @t195 @t625))) % 1.12/1.38 (assume @p446 (forall @t139 (or @t241 (= (tptp.hAPP @t335 @t109) @t108)))) % 1.12/1.38 (assume @p447 (forall @t600 (or (= (tptp.c_HOL_Ominus__class_Ominus @t221 @t283 @t24) @t23) @t151))) % 1.12/1.38 (assume @p448 (forall @t72 (or @t71 @t389))) % 1.12/1.38 (assume @p449 (forall @t273 (= (tptp.c_Set_Ovimage @t68 @t214 @t3 @t67) (tptp.hAPP (tptp.hAPP @t92 @t399) @t398)))) % 1.12/1.38 (assume @p450 (forall @t271 (or @t241 (= (tptp.hAPP @t359 @t428) @t128)))) % 1.12/1.38 (assume @p451 (forall @t630 (or (not (tptp.hBOOL (tptp.hAPP @t592 @t629))) @t628 @t266))) % 1.12/1.38 (assume @p452 (forall @t636 (or @t635 @t613 @t613 @t628 @t633 @t632))) % 1.12/1.38 (assume @p453 (forall (@list @t2 @t8 @t38 @t546) (or @t638 @t172 @t628 @t638 @t637 @t549))) % 1.12/1.38 (assume @p454 (forall (@list @t2 @t38 @t546 @t8 @t1) (or @t548 @t640 @t638 (not @t639) @t628 @t266))) % 1.12/1.38 (assume @p455 (forall @t641 (or @t613 (not @t632) @t628 @t633 @t634 (= @t417 @t1)))) % 1.12/1.38 (assume @p456 (forall (@list @t2 @t38 @t546 @t1) (or (not @t643) @t628 @t633 @t642))) % 1.12/1.38 (assume @p457 (forall @t649 (or @t648 @t646 @t172 @t628 @t638 @t645))) % 1.12/1.38 (assume @p458 (forall @t641 (or @t650 @t613 @t628 @t633 @t651 @t650))) % 1.12/1.38 (assume @p459 (forall @t655 (or @t654 @t549 @t652 @t646 @t172 @t628 @t266))) % 1.12/1.38 (assume @p460 (forall @t655 (or @t654 @t549 @t648 @t656 @t172 @t628 @t266))) % 1.12/1.38 (assume @p461 (forall @t591 (or @t613 @t659 @t628 @t659 @t658))) % 1.12/1.38 (assume @p462 (forall @t655 (or @t639 @t549 @t661 @t660 @t172 @t628 @t266))) % 1.12/1.38 (assume @p463 (forall @t591 (or @t650 @t613 @t628 @t613 @t662))) % 1.12/1.38 (assume @p464 (forall (@list @t1 @t38 @t546 @t2) (or @t660 @t172 @t628 @t633 @t643))) % 1.12/1.38 (assume @p465 (forall @t655 (or @t639 @t549 @t640 @t638 @t172 @t628 @t266))) % 1.12/1.38 (assume @p466 (forall @t630 (or (not (tptp.hBOOL (tptp.hAPP @t592 @t653))) @t628 @t266))) % 1.12/1.38 (assume @p467 (forall @t649 (or @t648 @t602 @t172 @t628 @t638 @t645))) % 1.12/1.38 (assume @p468 (forall (@list @t2 @t1 @t417 @t546) (or @t652 @t613 @t628 @t633 @t651 @t650))) % 1.12/1.38 (assume @p469 (forall @t655 (or @t548 @t652 @t656 (not @t654) @t628 @t266))) % 1.12/1.38 (assume @p470 (forall (@list @t38 @t2 @t546 @t8) (or @t602 (not @t645) @t628 @t638 @t647 @t640))) % 1.12/1.38 (assume @p471 (forall (@list @t417 @t2 @t546 @t8) (or (not @t664) @t628 @t638 @t663))) % 1.12/1.38 (assume @p472 (forall @t636 (or @t635 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Pair @t1 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t546))) @t613 @t628 @t633 @t632))) % 1.12/1.38 (assume @p473 (forall (@list @t2 @t38 @t546 @t8) (or @t549 @t172 @t628 @t638 @t637 @t549))) % 1.12/1.38 (assume @p474 (forall @t655 (or @t639 @t549 @t640 @t660 @t172 @t628 @t266))) % 1.12/1.38 (assume @p475 (forall @t655 (or @t639 @t549 @t661 @t638 @t172 @t628 @t266))) % 1.12/1.38 (assume @p476 (forall @t591 (or @t613 @t613 @t628 @t613 @t662))) % 1.12/1.38 (assume @p477 (forall @t655 (or @t654 @t549 @t648 @t646 @t172 @t628 @t266))) % 1.12/1.38 (assume @p478 (forall (@list @t2 @t417 @t546) (or (not (tptp.hBOOL (tptp.hAPP @t657 @t546))) @t659 @t628 @t659 @t658))) % 1.12/1.38 (assume @p479 (forall (@list @t417 @t8 @t546 @t2) (or (not @t663) @t613 @t628 @t638 @t664))) % 1.12/1.38 (assume @p480 (forall @t655 (or @t654 @t549 @t652 @t656 @t172 @t628 @t266))) % 1.12/1.38 (assume @p481 (forall (@list @t74 @t23 @t3 @t1 @t2) (or @t666 @t280 @t77 @t332))) % 1.12/1.38 (assume @p482 (forall @t412 (or @t667 @t413 @t408))) % 1.12/1.38 (assume @p483 (forall (@list @t3 @t317 @t585 @t584 @t668 @t671) (or @t675 @t674 @t670))) % 1.12/1.38 (assume @p484 (forall (@list @t3 @t1 @t8 @t23) (or @t676 @t280))) % 1.12/1.38 (assume @p485 (forall (@list @t3 @t1 @t8 @t22) (or (tptp.hBOOL (tptp.hAPP @t278 @t220)) (not (tptp.hBOOL (tptp.hAPP @t278 @t22)))))) % 1.12/1.38 (assume @p486 (forall @t679 (or (= @t678 @t143) @t302))) % 1.12/1.38 (assume @p487 (forall (@list @t3 @t317 @t585 @t668 @t671) (or @t682 (not @t681) @t670))) % 1.12/1.38 (assume @p488 (forall (@list @t3 @t23 @t74 @t1) (or @t685 @t280 @t684))) % 1.12/1.38 (assume @p489 (forall @t62 @t686)) % 1.12/1.38 (assume @p490 (forall @t687 (or @t76 @t686))) % 1.12/1.38 (assume @p491 (forall (@list @t3 @t201) (not (tptp.hBOOL (tptp.hAPP @t406 @t137))))) % 1.12/1.38 (assume @p492 (forall @t619 (not (tptp.hBOOL (tptp.hAPP @t278 @t137))))) % 1.12/1.38 (assume @p493 (forall (@list @t3 @t317 @t584 @t668 @t671) (or @t689 @t674 (not @t688)))) % 1.12/1.38 (assume @p494 (forall (@list @t3 @t1 @t23 @t8) (or @t279 @t266 (not @t676)))) % 1.12/1.38 (assume @p495 (forall (@list @t23 @t87 @t68 @t3 @t86 @t67 @t2) (or (= (tptp.hAPP @t414 @t2) (tptp.hAPP @t87 @t143)) @t332))) % 1.12/1.38 (assume @p496 (forall @t62 (tptp.hBOOL (tptp.hAPP @t150 @t109)))) % 1.12/1.38 (assume @p497 (forall @t410 (or @t413 @t691))) % 1.12/1.38 (assume @p498 (forall @t412 (or @t407 @t691))) % 1.12/1.38 (assume @p499 (forall (@list @t3 @t23 @t74 @t1 @t2) (or @t685 @t280 @t77 @t332))) % 1.12/1.38 (assume @p500 (forall @t693 (or (tptp.hBOOL (tptp.hAPP @t74 @t692)) @t332 @t77))) % 1.12/1.38 (assume @p501 (forall @t693 (or (tptp.hBOOL (tptp.hAPP @t74 @t694)) @t77 @t332))) % 1.12/1.38 (assume @p502 (forall @t337 (tptp.hBOOL (tptp.hAPP @t150 @t221)))) % 1.12/1.38 (assume @p503 (forall (@list @t3 @t1 @t22) (tptp.hBOOL (tptp.hAPP @t278 @t216)))) % 1.12/1.38 (assume @p504 (forall (@list @t3 @t2 @t22) (tptp.hBOOL (tptp.hAPP @t150 @t152)))) % 1.12/1.38 (assume @p505 (forall (@list @t73 @t698 @t3 @t23 @t74) (or (tptp.hBOOL (tptp.hAPP @t73 @t698)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t698) @t23))) @t697 @t696))) % 1.12/1.38 (assume @p506 (forall (@list @t74 @t699 @t3 @t23 @t73) (or (tptp.hBOOL (tptp.hAPP @t74 @t699)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t699) @t23))) @t697 @t696))) % 1.12/1.38 (assume @p507 (forall (@list @t3 @t1 @t23 @t67 @t68) (or @t279 (not @t700) @t245))) % 1.12/1.38 (assume @p508 (forall @t623 (or @t700 @t280 @t245))) % 1.12/1.38 (assume @p509 (forall @t400 (or @t701 @t245 @t172))) % 1.12/1.38 (assume @p510 (forall @t702 (or @t172 @t602 (tptp.hBOOL (tptp.hAPP @t547 @t589))))) % 1.12/1.38 (assume @p511 (forall @t579 (= (tptp.c_Set_Ovimage @t463 @t449 @t3 @t3) @t449))) % 1.12/1.38 (assume @p512 (forall (@list @t276 @t3 @t67) (= (tptp.c_Relation_Oconverse @t703 @t67 @t3) @t276))) % 1.12/1.38 (assume @p513 (forall @t105 (or @t132 @t705))) % 1.12/1.38 (assume @p514 (forall @t105 (or @t132 @t706))) % 1.12/1.38 (assume @p515 (forall @t105 (or @t124 @t706))) % 1.12/1.38 (assume @p516 (forall @t105 (or @t124 @t705))) % 1.12/1.38 (assume @p517 (forall @t97 (= (tptp.hAPP (tptp.hAPP @t92 @t115) @t21) @t707))) % 1.12/1.38 (assume @p518 (forall @t97 (= @t707 (tptp.hAPP @t93 @t227)))) % 1.12/1.38 (assume @p519 (forall @t679 (or (= @t678 (tptp.c_HOL_Oundefined @t3)) @t301))) % 1.12/1.38 (assume @p520 (forall (@list @t3 @t23 @t22 @t67 @t2) (or (not (= @t137 @t341)) @t603 @t302))) % 1.12/1.38 (assume @p521 (forall @t63 (= (tptp.c_HOL_Ominus__class_Ominus @t137 @t23 @t24) @t137))) % 1.12/1.38 (assume @p522 (forall @t595 (or @t233 (tptp.c_Fun_Obij__betw @t68 @t23 @t259 @t3 @t67)))) % 1.12/1.38 (assume @p523 (forall @t72 (or @t346 @t245 @t175))) % 1.12/1.38 (assume @p524 (forall @t119 (or @t193 @t708 (= @t22 @t108)))) % 1.12/1.38 (assume @p525 (forall @t119 (or @t193 @t708 (= @t23 @t108)))) % 1.12/1.38 (assume @p526 (forall @t62 (not (tptp.hBOOL (tptp.hAPP @t137 @t2))))) % 1.12/1.38 (assume @p527 (forall @t117 (= (tptp.hAPP @t224 @t181) (tptp.c_HOL_Ominus__class_Ominus @t225 (tptp.hAPP @t224 @t22) @t24)))) % 1.12/1.38 (assume @p528 (forall @t97 (= (tptp.hAPP @t354 @t21) @t709))) % 1.12/1.38 (assume @p529 (forall (@list @t201 @t3 @t67 @t23) (or (= (tptp.c_Set_Oimage @t614 @t23 @t67 @t3) (tptp.c_Set_Oinsert @t201 @t137 @t3)) @t594))) % 1.12/1.38 (assume @p530 (forall @t139 (not (= @t109 @t137)))) % 1.12/1.38 (assume @p531 (forall @t296 (or @t297 @t332 @t572))) % 1.12/1.38 (assume @p532 (forall @t62 (or @t193 (= (tptp.hAPP @t120 @t108) @t2)))) % 1.12/1.38 (assume @p533 (forall @t62 (or @t193 (= (tptp.hAPP (tptp.hAPP @t99 @t108) @t2) @t2)))) % 1.12/1.38 (assume @p534 (forall @t191 (= (tptp.hAPP (tptp.hAPP @t92 @t109) @t22) @t22))) % 1.12/1.38 (assume @p535 (forall @t63 (= (tptp.hAPP @t114 @t109) @t23))) % 1.12/1.38 (assume @p536 (forall @t465 (= @t362 (tptp.hAPP @t114 @t606)))) % 1.12/1.38 (assume @p537 (forall @t465 (= (tptp.c_Set_Oimage @t677 @t23 @t67 @t3) @t185))) % 1.12/1.38 (assume @p538 (forall (@list @t23 @t87 @t68 @t3 @t67 @t86 @t21 @t22) (or (tptp.c_Fun_Obij__betw @t710 @t23 @t21 @t3 @t86) (not (tptp.c_Fun_Obij__betw @t87 @t22 @t21 @t67 @t86)) @t389))) % 1.12/1.38 (assume @p539 (forall @t191 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t137) @t364)))) % 1.12/1.38 (assume @p540 (forall @t34 (= @t709 (tptp.c_HOL_Ominus__class_Ominus @t227 @t22 @t24)))) % 1.12/1.38 (assume @p541 (forall @t139 (or @t241 (= (tptp.hAPP @t359 @t109) @t192)))) % 1.12/1.38 (assume @p542 (forall (@list @t3 @t67 @t68 @t23) (tptp.hBOOL (tptp.hAPP @t460 @t565)))) % 1.12/1.38 (assume @p543 (forall (@list @t68 @t23 @t87 @t3 @t67) (or (not (= (tptp.hAPP @t68 @t712) (tptp.hAPP @t87 @t712))) @t568 @t566 @t711))) % 1.12/1.38 (assume @p544 (forall @t62 (tptp.hBOOL (tptp.hAPP @t109 @t2)))) % 1.12/1.38 (assume @p545 (forall @t551 (or @t548 @t545 (not @t713)))) % 1.12/1.38 (assume @p546 (forall (@list @t74 @t3 @t2) (or (not (= @t569 @t137)) @t77))) % 1.12/1.38 (assume @p547 (forall @t716 (or @t715 @t714 @t202))) % 1.12/1.38 (assume @p548 (forall @t716 (or @t715 @t515 @t202))) % 1.12/1.38 (assume @p549 (forall @t716 (or @t715 @t714 @t717))) % 1.12/1.38 (assume @p550 (forall @t716 (or @t715 @t515 @t717))) % 1.12/1.38 (assume @p551 (forall (@list @t23 @t87 @t68 @t67 @t3 @t86) (= (tptp.c_Set_Oimage (tptp.c_FuncSet_Ocompose @t23 @t87 @t68 @t67 @t3 @t86) @t23 @t67 @t86) (tptp.c_Set_Oimage @t87 @t185 @t3 @t86)))) % 1.12/1.38 (assume @p552 (forall (@list @t586 @t1 @t23 @t3 @t582 @t587 @t585 @t584 @t583 @t581 @t580) (or (= (tptp.hAPP @t586 @t338) (tptp.hAPP @t604 @t718)) @t588))) % 1.12/1.38 (assume @p553 (forall (@list @t587 @t1 @t23 @t3 @t583 @t586 @t585 @t584 @t582 @t581 @t580) (or (= (tptp.hAPP @t587 @t338) (tptp.hAPP @t605 @t719)) @t588))) % 1.12/1.38 (assume @p554 (forall (@list @t3 @t23 @t22 @t74 @t67 @t417 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t721) @t341)) @t420 @t720 @t302))) % 1.12/1.38 (assume @p555 (forall @t595 (or @t71 (not @t722)))) % 1.12/1.38 (assume @p556 (forall @t595 (or @t722 @t233))) % 1.12/1.38 (assume @p557 (forall @t343 (not (= @t137 @t338)))) % 1.12/1.38 (assume @p558 (forall @t702 (not (tptp.hBOOL (tptp.hAPP @t547 @t612))))) % 1.12/1.38 (assume @p559 (forall @t593 (not (tptp.hBOOL (tptp.hAPP @t592 @t612))))) % 1.12/1.38 (assume @p560 (forall (@list @t68 @t727 @t2 @t723 @t724 @t3 @t142) (or (not (= @t729 (tptp.hAPP @t723 @t728))) (not (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t724 @t727 @t3 @t142)) (= @t726 (tptp.hAPP (tptp.hAPP @t724 @t723) @t2))))) % 1.12/1.38 (assume @p561 (forall (@list @t68 @t727 @t2 @t724 @t3 @t67) (or (not (= @t729 @t728)) @t730 (= @t726 @t2)))) % 1.12/1.38 (assume @p562 (forall @t219 (or (= @t618 (tptp.c_Set_Oinsert @t1 @t94 @t3)) (not @t617)))) % 1.12/1.38 (assume @p563 (forall @t218 (or (= @t616 @t599) @t280))) % 1.12/1.38 (assume @p564 (forall @t440 (= (tptp.c_Set_Oimage @t68 @t439 @t67 @t3) (tptp.c_Set_Oinsert @t561 @t272 @t3)))) % 1.12/1.38 (assume @p565 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t109 @t24) @t137))) % 1.12/1.38 (assume @p566 (forall (@list @t68 @t1 @t8 @t3 @t67) (or (= @t561 @t8) (not (tptp.hBOOL (tptp.hAPP @t278 (tptp.c_Set_Ovimage @t68 (tptp.c_Set_Oinsert @t8 @t217 @t67) @t3 @t67))))))) % 1.12/1.38 (assume @p567 (forall (@list @t3 @t67 @t23 @t68 @t87 @t86) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t453 (tptp.c_FuncSet_Ocompose @t23 @t68 @t87 @t3 @t86 @t67)) @t565)))) % 1.12/1.38 (assume @p568 (forall (@list @t1 @t67 @t22 @t3) (= (tptp.c_Set_Oinsert @t1 @t340 @t3) @t281))) % 1.12/1.38 (assume @p569 (forall (@list @t3 @t74 @t2) (or (not (= @t137 @t569)) @t77))) % 1.12/1.38 (assume @p570 (forall @t600 (tptp.hBOOL (tptp.hAPP @t221 @t2)))) % 1.12/1.38 (assume @p571 (forall @t125 (or @t132 @t731))) % 1.12/1.38 (assume @p572 (forall @t125 (or @t124 @t731))) % 1.12/1.38 (assume @p573 (forall @t119 (= (tptp.hAPP @t114 @t115) @t115))) % 1.12/1.38 (assume @p574 (forall @t139 (or @t241 (= (tptp.hAPP @t359 @t137) @t108)))) % 1.12/1.38 (assume @p575 (forall @t735 (or @t734 (not @t732)))) % 1.12/1.38 (assume @p576 (forall @t735 (or (tptp.hBOOL (tptp.hAPP @t733 @t703)) @t423))) % 1.12/1.38 (assume @p577 (forall (@list @t3 @t67 @t1 @t8 @t276) (or @t732 (not @t734)))) % 1.12/1.38 (assume @p578 (forall @t72 (or (= @t259 @t22) @t389))) % 1.12/1.38 (assume @p579 (forall (@list @t586 @t3 @t581 @t587 @t585 @t584 @t583 @t582 @t580) (or (= (tptp.hAPP @t586 @t137) @t581) @t588))) % 1.12/1.38 (assume @p580 (forall (@list @t587 @t3 @t580 @t586 @t585 @t584 @t583 @t582 @t581) (or (= (tptp.hAPP @t587 @t137) @t580) @t588))) % 1.12/1.38 (assume @p581 (forall (@list @t23 @t3 @t67) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 (tptp.c_COMBK @t137 @t24 @t67) @t67 @t24) @t137))) % 1.12/1.38 (assume @p582 (forall @t339 (or (= @t611 @t23) @t280))) % 1.12/1.38 (assume @p583 (forall @t62 (or @t124 (= (tptp.hAPP @t120 @t2) @t2)))) % 1.12/1.38 (assume @p584 (forall @t63 (= (tptp.hAPP @t114 @t23) @t23))) % 1.12/1.38 (assume @p585 (forall @t619 (or @t241 (= (tptp.hAPP @t335 @t281) @t1)))) % 1.12/1.38 (assume @p586 (forall (@list @t3 @t67 @t1 @t8 @t23 @t22) (or @t552 @t736 @t280))) % 1.12/1.38 (assume @p587 (forall @t465 (or (not (= @t185 @t137)) @t594))) % 1.12/1.38 (assume @p588 (forall @t619 (= @t427 @t281))) % 1.12/1.38 (assume @p589 (forall @t97 (= (tptp.c_HOL_Ominus__class_Ominus @t115 @t21 @t24) (tptp.hAPP @t114 @t395)))) % 1.12/1.38 (assume @p590 (forall (@list @t586 @t1 @t3 @t587 @t585 @t584 @t583 @t582 @t581 @t580) (or (= (tptp.hAPP @t586 @t281) @t1) @t588))) % 1.12/1.38 (assume @p591 (forall (@list @t587 @t1 @t3 @t586 @t585 @t584 @t583 @t582 @t581 @t580) (or (= (tptp.hAPP @t587 @t281) @t1) @t588))) % 1.12/1.38 (assume @p592 (forall @t738 (or @t737 (= @t1 @t474)))) % 1.12/1.38 (assume @p593 (forall @t738 (or @t737 (= @t8 @t473)))) % 1.12/1.38 (assume @p594 (forall @t62 (tptp.hBOOL (tptp.hAPP @t150 @t283)))) % 1.12/1.38 (assume @p595 (forall @t620 (or @t570 @t77 @t332))) % 1.12/1.38 (assume @p596 (forall @t63 (= (tptp.hAPP @t349 @t739) @t23))) % 1.12/1.38 (assume @p597 (forall (@list @t23 @t68 @t2 @t3 @t67) (or @t741 (not @t740)))) % 1.12/1.38 (assume @p598 (forall (@list @t68 @t23 @t3 @t67 @t2) (or @t740 (not @t741)))) % 1.12/1.38 (assume @p599 (forall (@list @t23 @t87 @t68 @t3 @t67 @t86 @t22) (or (tptp.c_Fun_Oinj__on @t710 @t23 @t3 @t86) (not (tptp.c_Fun_Oinj__on @t87 @t22 @t67 @t86)) @t389))) % 1.12/1.38 (assume @p600 (forall @t189 (or @t624 @t200 @t196))) % 1.12/1.38 (assume @p601 (forall @t619 (= (tptp.c_Collect (tptp.hAPP @t426 @t1) @t3) @t281))) % 1.12/1.38 (assume @p602 (forall @t596 (= (tptp.c_Set_Ovimage @t68 @t217 @t3 @t67) @t137))) % 1.12/1.38 (assume @p603 (forall @t63 (= (tptp.c_Collect (tptp.hAPP @t326 @t23) @t3) @t23))) % 1.12/1.38 (assume @p604 (forall @t551 (or @t713 @t549 @t545 @t215))) % 1.12/1.38 (assume @p605 (forall @t551 (or @t713 @t549 @t172 @t215))) % 1.12/1.38 (assume @p606 (forall @t620 (or @t332 @t76 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t742) @t23))))) % 1.12/1.38 (assume @p607 (forall (@list @t74 @t23 @t3 @t1) (or @t666 @t280 @t684))) % 1.12/1.38 (assume @p608 (forall (@list @t584 @t668 @t317 @t3 @t671) (or @t688 @t743))) % 1.12/1.38 (assume @p609 (forall (@list @t584 @t317 @t671 @t3 @t668) (or @t673 @t743))) % 1.12/1.38 (assume @p610 (forall @t410 (or @t409 @t744))) % 1.12/1.38 (assume @p611 (forall @t412 (or @t407 @t744))) % 1.12/1.38 (assume @p612 (forall @t745 (or @t701 @t370 @t332 @t172 @t233))) % 1.12/1.38 (assume @p613 (forall @t745 (or @t701 @t370 @t332 @t233 @t172))) % 1.12/1.38 (assume @p614 (forall (@list @t68 @t2 @t417 @t3 @t23 @t67) (or (not (= @t143 (tptp.hAPP @t68 @t417))) @t419 @t332 @t233 @t659))) % 1.12/1.38 (assume @p615 (forall (@list @t68 @t2 @t38 @t23 @t3 @t67) (or @t701 @t233 @t172 @t370 @t332))) % 1.12/1.38 (assume @p616 (forall @t687 (or @t77 @t686))) % 1.12/1.38 (assume @p617 (forall @t331 (or (not (= @t328 @t327)) (= @t209 @t234)))) % 1.12/1.38 (assume @p618 (forall (@list @t3 @t1 @t74) (or @t746 @t684))) % 1.12/1.38 (assume @p619 (forall (@list @t74 @t1 @t3) (or @t683 (not @t746)))) % 1.12/1.38 (assume @p620 (forall (@list @t3 @t317 @t585 @t324) (or @t748 (not @t747)))) % 1.12/1.38 (assume @p621 (forall (@list @t585 @t317 @t324 @t3) (or @t747 (not @t748)))) % 1.12/1.38 (assume @p622 (forall @t412 (or @t690 @t409 @t408))) % 1.12/1.38 (assume @p623 (forall (@list @t73 @t750 @t3 @t23 @t74) (or (tptp.hBOOL (tptp.hAPP @t73 @t750)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t750) @t23))) @t749))) % 1.12/1.38 (assume @p624 (forall (@list @t74 @t751 @t3 @t23 @t73) (or (tptp.hBOOL (tptp.hAPP @t74 @t751)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t751) @t23))) @t749))) % 1.12/1.38 (assume @p625 (forall @t620 (or @t332 @t76 (not (tptp.hBOOL (tptp.hAPP @t74 @t742)))))) % 1.12/1.38 (assume @p626 (forall @t578 (or (not (= @t221 @t152)) @t187 @t151 @t175))) % 1.12/1.38 (assume @p627 (forall @t752 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t692) @t23)) @t332 @t77))) % 1.12/1.38 (assume @p628 (forall (@list @t3 @t8 @t23 @t22 @t67 @t2) (or (tptp.hBOOL (tptp.hAPP @t289 @t341)) (not (tptp.hBOOL (tptp.hAPP @t289 @t198))) @t302))) % 1.12/1.38 (assume @p629 (forall (@list @t67 @t8 @t23 @t22 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t424 @t321)) @t736 @t280))) % 1.12/1.38 (assume @p630 (forall @t755 (or @t754 (not @t753)))) % 1.12/1.38 (assume @p631 (forall (@list @t584 @t324 @t317 @t3) (or @t753 (not @t754)))) % 1.12/1.38 (assume @p632 (forall (@list @t74 @t23 @t22 @t67 @t3 @t417 @t2) (or (tptp.hBOOL (tptp.hAPP @t74 @t721)) @t420 @t720 @t302))) % 1.12/1.38 (assume @p633 (forall (@list @t3 @t1 @t68 @t22 @t67) (or @t757 (not @t756)))) % 1.12/1.38 (assume @p634 (forall (@list @t67 @t1 @t68 @t23 @t3) (or (tptp.hBOOL (tptp.hAPP @t759 @t361)) (not (tptp.hBOOL (tptp.hAPP @t758 @t23)))))) % 1.12/1.38 (assume @p635 (forall (@list @t67 @t1 @t68 @t22 @t3) (or (tptp.hBOOL (tptp.hAPP @t759 @t385)) (not (tptp.hBOOL (tptp.hAPP @t758 @t22)))))) % 1.12/1.38 (assume @p636 (forall (@list @t67 @t68 @t1 @t22 @t3) (or @t756 (not @t757)))) % 1.12/1.38 (assume @p637 (forall @t623 (or (tptp.hBOOL (tptp.hAPP @t562 @t23)) (not (tptp.hBOOL (tptp.hAPP @t278 @t399)))))) % 1.12/1.38 (assume @p638 (forall (@list @t585 @t587 @t23 @t2 @t3 @t586 @t584 @t583 @t582 @t581 @t580) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t585 @t719) @t2)) @t332 @t588))) % 1.12/1.38 (assume @p639 (forall (@list @t585 @t2 @t586 @t23 @t3 @t587 @t584 @t583 @t582 @t581 @t580) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t585 @t2) @t718)) @t332 @t588))) % 1.12/1.38 (assume @p640 (forall (@list @t585 @t317 @t671 @t3 @t668) (or @t681 @t760))) % 1.12/1.38 (assume @p641 (forall (@list @t585 @t668 @t317 @t3 @t671) (or @t669 @t760))) % 1.12/1.38 (assume @p642 (forall (@list @t74 @t23 @t22 @t3 @t2) (or @t761 @t77 @t297))) % 1.12/1.38 (assume @p643 (forall (@list @t74 @t23 @t22 @t3 @t417) (or @t761 @t420 @t419))) % 1.12/1.38 (assume @p644 (forall @t752 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t694) @t23)) @t77 @t332))) % 1.12/1.38 (assume @p645 (forall @t339 (or (= @t338 @t23) @t280))) % 1.12/1.38 (assume @p646 (forall @t755 (or @t763 (not @t762)))) % 1.12/1.38 (assume @p647 (forall (@list @t584 @t317 @t324 @t3) (or @t762 (not @t763)))) % 1.12/1.38 (assume @p648 (forall (@list @t23 @t22 @t3 @t67 @t86 @t8 @t201 @t2) (or @t766 (not (tptp.hBOOL (tptp.hAPP @t764 @t201))) @t332))) % 1.12/1.38 (assume @p649 (forall (@list @t23 @t22 @t3 @t67 @t8 @t2) (or @t767 (not (tptp.hBOOL @t764)) @t332))) % 1.12/1.38 (assume @p650 (forall (@list @t23 @t22 @t3 @t67 @t86 @t8 @t201 @t1) (or @t766 (not (tptp.hBOOL (tptp.hAPP @t768 @t201))) @t280))) % 1.12/1.38 (assume @p651 (forall (@list @t23 @t22 @t3 @t67 @t8 @t1) (or @t767 (not (tptp.hBOOL @t768)) @t280))) % 1.12/1.38 (assume @p652 (forall (@list @t584 @t317 @t671 @t3 @t585 @t668) (or @t673 @t769))) % 1.12/1.38 (assume @p653 (forall (@list @t585 @t668 @t317 @t3 @t584 @t671) (or @t669 @t769))) % 1.12/1.38 (assume @p654 (forall @t752 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t770) @t23)) @t77 @t332))) % 1.12/1.38 (assume @p655 (forall @t693 (or (tptp.hBOOL (tptp.hAPP @t74 @t770)) @t77 @t332))) % 1.12/1.38 (assume @p656 (forall (@list @t142 @t2 @t23 @t3 @t68) (or @t334 (tptp.hBOOL (tptp.hAPP @t303 (tptp.c_Set_Oimage @t68 @t23 @t142 @t3)))))) % 1.12/1.38 (assume @p657 (forall @t264 (or @t302 @t771))) % 1.12/1.38 (assume @p658 (forall (@list @t3 @t68 @t2 @t23 @t67) (or @t771 @t302))) % 1.12/1.38 (assume @p659 (forall (@list @t67 @t68 @t2 @t23 @t3) (or (tptp.hBOOL (tptp.hAPP @t772 @t259)) @t332))) % 1.12/1.38 (assume @p660 (forall @t462 (or @t774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t773) @t23))))) % 1.12/1.38 (assume @p661 (forall @t462 (or @t774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t775) @t23))))) % 1.12/1.38 (assume @p662 (forall (@list @t68 @t2 @t67 @t3 @t23) (or (= @t143 (tptp.c_HOL_Oundefined @t67)) @t151 @t566))) % 1.12/1.38 (assume @p663 (forall @t462 (or @t774 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 (tptp.hAPP @t68 @t773)) (tptp.hAPP @t22 @t773))))))) % 1.12/1.38 (assume @p664 (forall (@list @t68 @t87 @t3 @t23 @t67) (or @t711 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t712) @t23)) @t568 @t566))) % 1.12/1.38 (assume @p665 (forall @t462 (or @t774 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 (tptp.hAPP @t68 @t775)) (tptp.hAPP @t22 @t775))))))) % 1.12/1.38 (assume @p666 (forall @t432 (or @t574 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t573) @t21))))) % 1.12/1.38 (assume @p667 (forall @t432 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t347 @t558) @t21)) @t557))) % 1.12/1.38 (assume @p668 (forall (@list @t3 @t23 @t435 @t276) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t543) @t23)) @t448))) % 1.12/1.38 (assume @p669 (forall @t778 (or (= @t777 @t109) (not @t776)))) % 1.12/1.38 (assume @p670 (forall @t778 (or (= @t777 @t137) @t776))) % 1.12/1.38 (assume @p671 (forall @t63 (tptp.hBOOL (tptp.hAPP @t365 @t739)))) % 1.12/1.38 (assume @p672 (forall @t462 (or @t780 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t779) @t23))))) % 1.12/1.38 (assume @p673 (forall @t462 (or @t780 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 (tptp.hAPP @t68 @t779)) @t22)))))) % 1.12/1.38 (assume @p674 (forall (@list @t23 @t783 @t87 @t68 @t3 @t67 @t86 @t782 @t22 @t21 @t134) (or (= (tptp.c_FuncSet_Ocompose @t23 @t783 @t710 @t3 @t86 @t782) (tptp.c_FuncSet_Ocompose @t23 (tptp.c_FuncSet_Ocompose @t22 @t783 @t87 @t67 @t86 @t782) @t68 @t3 @t67 @t782)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t86 @t782)) @t783) (tptp.c_FuncSet_OPi @t21 (tptp.c_COMBK @t134 (tptp.tc_fun @t782 tptp.tc_bool) @t86) @t86 @t782)))) @t781 @t456))) % 1.12/1.38 (assume @p675 (forall (@list @t3 @t86 @t23 @t87 @t68 @t67 @t21 @t22) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t3 @t86)) @t710) (tptp.c_FuncSet_OPi @t23 (tptp.c_COMBK @t21 @t765 @t3) @t3 @t86))) @t781 @t456))) % 1.12/1.38 (assume @p676 (forall @t63 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t3 @t3)) @t463) (tptp.c_FuncSet_OPi @t23 (tptp.c_COMBK @t23 @t24 @t3) @t3 @t3))))) % 1.12/1.38 (assume @p677 (forall @t462 (or @t455 @t389))) % 1.12/1.38 (assume @p678 (forall (@list @t3 @t404) (or @t241 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp (tptp.c_COMBK @t404 @t3 @t3) @t3) @t404)))) % 1.12/1.38 (assume @p679 (forall (@list @t724 @t68 @t727 @t784 @t3 @t67) (or (= (tptp.hAPP (tptp.hAPP @t724 (tptp.c_COMBK (tptp.hAPP @t68 (tptp.hAPP @t727 @t784)) @t3 @t3)) @t784) (tptp.hAPP @t725 @t784)) @t730))) % 1.12/1.38 (assume @p680 (forall @t702 (or @t549 (not @t785) @t172 @t628))) % 1.12/1.38 (assume @p681 (forall (@list @t38 @t2 @t546) (or @t785 @t548 @t172 @t628))) % 1.12/1.38 (assume @p682 (forall (@list @t8 @t1 @t546) (or (not (tptp.hBOOL (tptp.hAPP @t507 @t546))) (not (tptp.hBOOL (tptp.hAPP @t487 @t546))) @t628))) % 1.12/1.38 (assume @p683 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 1.12/1.38 (assume @p684 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 1.12/1.38 (assume @p685 (forall @t462 (or @t455 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t298 (tptp.hAPP @t68 @t786)) @t22)))))) % 1.12/1.38 (assume @p686 (forall @t462 (or @t455 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t149 @t786) @t23))))) % 1.12/1.38 (assume @p687 (forall @t789 (or @t788 @t332 @t787))) % 1.12/1.38 (assume @p688 (forall (@list @t3 @t2 @t23 @t67 @t68 @t22) (or @t332 @t788 @t787))) % 1.12/1.38 (assume @p689 (forall (@list @t3 @t23 @t435 @t21) (or @t791 @t790 (not @t574)))) % 1.12/1.38 (assume @p690 (forall (@list @t3 @t23 @t21 @t435) (or @t556 (not @t791) @t790))) % 1.12/1.38 (assume @p691 (forall (@list @t23 @t21 @t3 @t67 @t22 @t2) (or (not (= (tptp.c_Product__Type_OSigma @t23 @t792 @t67 @t3) (tptp.c_Product__Type_OSigma @t22 @t792 @t67 @t3))) (not (tptp.hBOOL (tptp.hAPP @t150 @t21))) @t175))) % 1.12/1.38 (assume @p692 (forall @t622 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 @t621) tptp.c_Arrow__Order__Mirabelle_OLin)) @t266))) % 1.12/1.38 (assume @p693 (forall @t793 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 @t612) tptp.c_Arrow__Order__Mirabelle_OLin)) @t628))) % 1.12/1.38 (assume @p694 (forall @t793 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 @t589) tptp.c_Arrow__Order__Mirabelle_OLin)) @t628))) % 1.12/1.38 (assume @p695 (forall @t794 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 (tptp.c_Arrow__Order__Mirabelle_Obelow @t546 @t2 @t38)) tptp.c_Arrow__Order__Mirabelle_OLin)) @t628 @t172))) % 1.12/1.38 (assume @p696 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1) tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (assume @p697 (forall @t796 (or @t627 (not @t795)))) % 1.12/1.38 (assume @p698 (forall @t796 (or @t795 @t628))) % 1.12/1.38 (assume @p699 (forall @t794 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t626 (tptp.c_Arrow__Order__Mirabelle_Oabove @t546 @t2 @t38)) tptp.c_Arrow__Order__Mirabelle_OLin)) @t628 @t172))) % 1.12/1.38 (assume @p700 (forall @t796 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 (tptp.c_COMBK @t546 @t479 tptp.tc_Arrow__Order__Mirabelle_Oindi)) tptp.c_Arrow__Order__Mirabelle_OProf)) @t628))) % 1.12/1.38 (assume @p701 (forall @t789 (or (tptp.hBOOL (tptp.hAPP @t772 @t22)) @t332 @t456))) % 1.12/1.38 (assume @p702 (forall (@list @t3 @t2 @t234) (or @t798 (not @t797)))) % 1.12/1.38 (assume @p703 (forall (@list @t234 @t2 @t3) (or @t797 (not @t798)))) % 1.12/1.38 (assume @p704 (forall (@list @t74 @t3 @t67 @t73) (= (tptp.hAPP (tptp.c_COMBK @t74 @t3 @t67) @t73) @t74))) % 1.12/1.38 (assume @p705 @t799) % 1.12/1.38 (assume @p706 @t801) % 1.12/1.38 (assume @p707 (not @t803)) % 1.12/1.38 (assume @p708 (forall @t807 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t806) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t804))))) % 1.12/1.38 (assume @p709 (forall @t807 (or (tptp.class_Lattices_Oupper__semilattice @t806) @t808))) % 1.12/1.38 (assume @p710 (forall @t807 (or (tptp.class_Lattices_Olower__semilattice @t806) @t808))) % 1.12/1.38 (assume @p711 (forall @t807 (or (tptp.class_Lattices_Odistrib__lattice @t806) (not (tptp.class_Lattices_Odistrib__lattice @t804))))) % 1.12/1.38 (assume @p712 (forall @t807 (or (tptp.class_Lattices_Obounded__lattice @t806) (not (tptp.class_Lattices_Obounded__lattice @t804))))) % 1.12/1.38 (assume @p713 (forall @t807 (or (tptp.class_Orderings_Opreorder @t806) (not (tptp.class_Orderings_Opreorder @t804))))) % 1.12/1.38 (assume @p714 (forall @t807 (or (tptp.class_Lattices_Olattice @t806) @t808))) % 1.12/1.38 (assume @p715 (forall @t807 (or (tptp.class_Orderings_Oorder @t806) (not (tptp.class_Orderings_Oorder @t804))))) % 1.12/1.38 (assume @p716 (forall @t807 (or (tptp.class_Orderings_Otop @t806) (not (tptp.class_Orderings_Otop @t804))))) % 1.12/1.38 (assume @p717 (forall @t807 (or (tptp.class_Orderings_Obot @t806) (not (tptp.class_Orderings_Obot @t804))))) % 1.12/1.38 (assume @p718 (forall @t807 (or (tptp.class_HOL_Oord @t806) (not (tptp.class_HOL_Oord @t804))))) % 1.12/1.38 (assume @p719 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 1.12/1.38 (assume @p720 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 1.12/1.38 (assume @p721 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 1.12/1.38 (assume @p722 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.12/1.38 (assume @p723 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.12/1.38 (assume @p724 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.12/1.38 (assume @p725 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.12/1.38 (assume @p726 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.12/1.38 (assume @p727 (tptp.class_HOL_Oord tptp.tc_nat)) % 1.12/1.38 (assume @p728 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.12/1.38 (assume @p729 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.12/1.38 (assume @p730 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.12/1.38 (assume @p731 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.12/1.38 (assume @p732 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.12/1.38 (assume @p733 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.12/1.38 (assume @p734 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.12/1.38 (assume @p735 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.12/1.38 (assume @p736 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.12/1.38 (assume @p737 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.12/1.38 (assume @p738 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.12/1.38 (assume @p739 (forall @t62 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t426 @t2) @t2)))) % 1.12/1.38 (assume @p740 (forall (@list @t435 @t449 @t3) (or @t451 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t426 @t435) @t449)))))) % 1.12/1.38 (step @p741 :rule instantiate :premises (@p700) :args ((@list tptp.v_Lab____))) % 1.12/1.38 (step @p742 :rule cnf_or_pos :args (@t811)) % 1.12/1.38 (step @p743 :rule reordering :premises (@p742) :args ((or @t809 @t810 (not @t811)))) % 1.12/1.38 (step @p744 :rule chain_m_resolution :premises (@p743 @p705 @p741) :args (@t810 @t812 (@list @t799 @t811))) % 1.12/1.38 (step @p745 :rule instantiate :premises (@p321) :args ((@list @t479 tptp.v_F tptp.c_Arrow__Order__Mirabelle_OProf @t480 tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.12/1.38 (step @p746 :rule cnf_or_pos :args (@t815)) % 1.12/1.38 (step @p747 :rule reordering :premises (@p746) :args ((or @t813 @t814 (not @t815)))) % 1.12/1.38 (step @p748 :rule chain_m_resolution :premises (@p747 @p706 @p745) :args (@t814 @t812 (@list @t801 @t815))) % 1.12/1.38 (step @p749 :rule cnf_or_pos :args (@t818)) % 1.12/1.38 (step @p750 :rule reordering :premises (@p749) :args ((or @t803 @t816 @t817 @t819))) % 1.12/1.38 (step @p751 :rule chain_m_resolution :premises (@p750 @p707 @p748 @p744) :args (@t819 (@list true false false) (@list @t803 @t814 @t810))) % 1.12/1.38 (assume-push @p758 @t304) % 1.12/1.38 (step @p753 :rule instantiate :premises (@p162) :args ((@list @t479 tptp.v_F @t802 tptp.c_Arrow__Order__Mirabelle_OLin @t480 tptp.c_Arrow__Order__Mirabelle_OProf))) % 1.12/1.38 (step-pop @p759 :rule scope :premises (@p753)) % 1.12/1.38 (step @p754 :rule process_scope :premises (@p759) :args (@t818)) % 1.12/1.38 (step @p756 :rule implies_elim :premises (@p754)) % 1.12/1.38 (step @p757 false :rule chain_m_resolution :premises (@p756 @p751 @p162) :args (false (@list true false) (@list @t818 @t304))) % 1.12/1.38 ) % 1.12/1.38 % SZS output end Proof % 1.12/1.38 % cvc5 exiting %------------------------------------------------------------------------------