%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT080-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 0.85s 1.11s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT080-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.33 % Computer : n022.cluster.edu % 0.18/0.33 % Model : x86_64 x86_64 % 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.33 % Memory : 8042.1875MB % 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.33 % CPULimit : 300 % 0.18/0.33 % WCLimit : 300 % 0.18/0.33 % DateTime : Tue Jun 2 14:24:08 EDT 2026 % 0.18/0.34 % CPUTime : % 0.46/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.54/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.11 % SZS status Unsatisfiable % 0.85/1.11 % SZS output start Proof % 0.96/1.13 ( % 0.96/1.13 (declare-sort $$unsorted 0) % 0.96/1.13 (declare-const tptp.v_Lba____ $$unsorted) % 0.96/1.13 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 $$unsorted) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Record_Oiso__tuple__update__accessor__cong__assist (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.96/1.13 (declare-const tptp.c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_sko__local__X4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_sko__local__Xpairwise__neutrality__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_sko__local__X2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 0.96/1.13 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_F $$unsorted) % 0.96/1.13 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_sko__local__X1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_sko__local__X3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.96/1.13 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Osko__FuncSet__XextensionalityI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.tc_bool $$unsorted) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.96/1.13 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.tc_nat $$unsorted) % 0.96/1.13 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.96/1.13 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (declare-const tptp.c_FuncSet_Osko__FuncSet__XrestrictI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.13 (define @t1 () (@var "T_a" $$unsorted)) % 0.96/1.13 (define @t2 () (@var "V_x" $$unsorted)) % 0.96/1.13 (define @t3 () (@var "V_y" $$unsorted)) % 0.96/1.13 (define @t4 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t3 @t1)) % 0.96/1.13 (define @t5 () (tptp.c_lessequals @t4 @t2 @t1)) % 0.96/1.13 (define @t6 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.96/1.13 (define @t7 () (@list @t1 @t2 @t3)) % 0.96/1.13 (define @t8 () (tptp.c_lessequals @t4 @t3 @t1)) % 0.96/1.13 (define @t9 () (@var "V_a" $$unsorted)) % 0.96/1.13 (define @t10 () (tptp.c_lessequals @t2 @t9 @t1)) % 0.96/1.13 (define @t11 () (not @t10)) % 0.96/1.13 (define @t12 () (@var "V_b" $$unsorted)) % 0.96/1.13 (define @t13 () (tptp.c_lessequals @t2 @t12 @t1)) % 0.96/1.13 (define @t14 () (not @t13)) % 0.96/1.13 (define @t15 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t12 @t1)) % 0.96/1.13 (define @t16 () (tptp.c_lessequals @t2 @t15 @t1)) % 0.96/1.13 (define @t17 () (@list @t1 @t2 @t9 @t12)) % 0.96/1.13 (define @t18 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.96/1.13 (define @t19 () (not @t18)) % 0.96/1.13 (define @t20 () (@var "V_z" $$unsorted)) % 0.96/1.13 (define @t21 () (tptp.c_lessequals @t2 @t20 @t1)) % 0.96/1.13 (define @t22 () (not @t21)) % 0.96/1.13 (define @t23 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t20 @t1)) % 0.96/1.13 (define @t24 () (tptp.c_lessequals @t2 @t23 @t1)) % 0.96/1.13 (define @t25 () (@list @t1 @t2 @t3 @t20)) % 0.96/1.13 (define @t26 () (not (tptp.class_Lattices_Olattice @t1))) % 0.96/1.13 (define @t27 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.96/1.13 (define @t28 () (@var "V_C" $$unsorted)) % 0.96/1.13 (define @t29 () (@var "V_A" $$unsorted)) % 0.96/1.13 (define @t30 () (tptp.c_lessequals @t29 @t28 @t27)) % 0.96/1.13 (define @t31 () (not @t30)) % 0.96/1.13 (define @t32 () (@var "V_D" $$unsorted)) % 0.96/1.13 (define @t33 () (@var "V_B" $$unsorted)) % 0.96/1.13 (define @t34 () (not (tptp.c_lessequals @t33 @t32 @t27))) % 0.96/1.13 (define @t35 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t33 @t27)) % 0.96/1.13 (define @t36 () (@list @t29 @t33 @t1 @t28 @t32)) % 0.96/1.13 (define @t37 () (tptp.c_Orderings_Obot__class_Obot @t27)) % 0.96/1.13 (define @t38 () (@list @t1)) % 0.96/1.13 (define @t39 () (= @t29 @t37)) % 0.96/1.13 (define @t40 () (@list @t29 @t1)) % 0.96/1.13 (define @t41 () (@var "V_f" $$unsorted)) % 0.96/1.13 (define @t42 () (@var "T_aa" $$unsorted)) % 0.96/1.13 (define @t43 () (tptp.hAPP @t41 @t2)) % 0.96/1.13 (define @t44 () (@var "T_b" $$unsorted)) % 0.96/1.13 (define @t45 () (tptp.c_Fun_Ofun__upd @t41 @t2 @t3 @t44 @t1)) % 0.96/1.13 (define @t46 () (tptp.c_lessequals @t29 @t33 @t27)) % 0.96/1.13 (define @t47 () (= @t35 @t33)) % 0.96/1.13 (define @t48 () (@list @t29 @t33 @t1)) % 0.96/1.13 (define @t49 () (not (tptp.c_lessequals @t33 @t29 @t27))) % 0.96/1.13 (define @t50 () (not @t46)) % 0.96/1.13 (define @t51 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t3 @t1)) % 0.96/1.13 (define @t52 () (= @t51 @t3)) % 0.96/1.13 (define @t53 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.96/1.13 (define @t54 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.96/1.13 (define @t55 () (not @t54)) % 0.96/1.13 (define @t56 () (= @t2 @t3)) % 0.96/1.13 (define @t57 () (not (tptp.class_Orderings_Oorder @t1))) % 0.96/1.13 (define @t58 () (= @t29 @t33)) % 0.96/1.13 (define @t59 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t20 @t1)) % 0.96/1.13 (define @t60 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t59 @t1)) % 0.96/1.13 (define @t61 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t23 @t1)) % 0.96/1.13 (define @t62 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t33 @t27)) % 0.96/1.13 (define @t63 () (tptp.c_Fun_Ofun__upd @t41 @t2 @t3 @t1 @t44)) % 0.96/1.13 (define @t64 () (@list @t41 @t2 @t3 @t1 @t44 @t20)) % 0.96/1.13 (define @t65 () (tptp.c_Set_Oimage @t41 @t29 @t44 @t1)) % 0.96/1.13 (define @t66 () (tptp.c_Hilbert__Choice_Oinv__into @t29 @t41 @t44 @t1)) % 0.96/1.13 (define @t67 () (@list @t1 @t33)) % 0.96/1.13 (define @t68 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.96/1.13 (define @t69 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.96/1.13 (define @t70 () (@list @t1 @t2)) % 0.96/1.13 (define @t71 () (tptp.hAPP @t29 @t2)) % 0.96/1.13 (define @t72 () (tptp.hBOOL @t71)) % 0.96/1.13 (define @t73 () (not @t72)) % 0.96/1.13 (define @t74 () (tptp.hBOOL (tptp.hAPP @t35 @t2))) % 0.96/1.13 (define @t75 () (@list @t29 @t33 @t1 @t2)) % 0.96/1.13 (define @t76 () (tptp.hAPP @t33 @t2)) % 0.96/1.13 (define @t77 () (tptp.hBOOL @t76)) % 0.96/1.13 (define @t78 () (not @t77)) % 0.96/1.13 (define @t79 () (@list @t33 @t2 @t29 @t1)) % 0.96/1.13 (define @t80 () (@var "V_c" $$unsorted)) % 0.96/1.13 (define @t81 () (= @t9 @t80)) % 0.96/1.13 (define @t82 () (@var "V_d" $$unsorted)) % 0.96/1.13 (define @t83 () (@var "V_m" $$unsorted)) % 0.96/1.13 (define @t84 () (tptp.c_lessequals @t28 @t29 @t27)) % 0.96/1.13 (define @t85 () (not @t84)) % 0.96/1.13 (define @t86 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t28 @t27)) % 0.96/1.13 (define @t87 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t86 @t27)) % 0.96/1.13 (define @t88 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t33 @t27)) % 0.96/1.13 (define @t89 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t28 @t27) @t87)) % 0.96/1.13 (define @t90 () (@list @t29 @t33 @t1 @t28)) % 0.96/1.13 (define @t91 () (@var "V_R" $$unsorted)) % 0.96/1.13 (define @t92 () (tptp.c_Relation_OImage @t91 @t33 @t44 @t1)) % 0.96/1.13 (define @t93 () (tptp.c_Relation_OImage @t91 @t29 @t44 @t1)) % 0.96/1.13 (define @t94 () (tptp.tc_fun @t44 tptp.tc_bool)) % 0.96/1.13 (define @t95 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t33 @t94)) % 0.96/1.13 (define @t96 () (@list @t91 @t29 @t33 @t44 @t1)) % 0.96/1.13 (define @t97 () (= @t2 @t20)) % 0.96/1.13 (define @t98 () (tptp.c_Set_Oinsert @t9 @t33 @t1)) % 0.96/1.13 (define @t99 () (tptp.c_Orderings_Obot__class_Obot @t94)) % 0.96/1.13 (define @t100 () (tptp.c_Orderings_Otop__class_Otop @t27)) % 0.96/1.13 (define @t101 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.96/1.13 (define @t102 () (tptp.c_lessequals @t28 @t33 @t27)) % 0.96/1.13 (define @t103 () (tptp.c_lessequals @t28 @t88 @t27)) % 0.96/1.13 (define @t104 () (@list @t28 @t29 @t33 @t1)) % 0.96/1.13 (define @t105 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 0.96/1.13 (define @t106 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.96/1.13 (define @t107 () (@list @t1 @t3 @t20 @t2)) % 0.96/1.13 (define @t108 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t28 @t27)) % 0.96/1.13 (define @t109 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t28 @t27)) % 0.96/1.13 (define @t110 () (@list @t29 @t33 @t28 @t1)) % 0.96/1.13 (define @t111 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t29 @t27)) % 0.96/1.13 (define @t112 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t29 @t27)) % 0.96/1.13 (define @t113 () (@list @t33 @t28 @t1 @t29)) % 0.96/1.13 (define @t114 () (@var "T_c" $$unsorted)) % 0.96/1.13 (define @t115 () (@var "V_g" $$unsorted)) % 0.96/1.13 (define @t116 () (tptp.c_lessequals @t51 @t20 @t1)) % 0.96/1.13 (define @t117 () (not @t116)) % 0.96/1.13 (define @t118 () (tptp.c_lessequals @t3 @t20 @t1)) % 0.96/1.13 (define @t119 () (@list @t1 @t2 @t20 @t3)) % 0.96/1.13 (define @t120 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t12 @t1)) % 0.96/1.13 (define @t121 () (tptp.c_lessequals @t2 @t120 @t1)) % 0.96/1.13 (define @t122 () (tptp.c_lessequals @t120 @t2 @t1)) % 0.96/1.13 (define @t123 () (not @t122)) % 0.96/1.13 (define @t124 () (tptp.c_lessequals @t12 @t2 @t1)) % 0.96/1.13 (define @t125 () (tptp.c_lessequals @t9 @t2 @t1)) % 0.96/1.13 (define @t126 () (tptp.c_lessequals @t35 @t28 @t27)) % 0.96/1.13 (define @t127 () (not @t126)) % 0.96/1.13 (define @t128 () (@list @t29 @t28 @t1 @t33)) % 0.96/1.13 (define @t129 () (tptp.c_lessequals @t33 @t28 @t27)) % 0.96/1.13 (define @t130 () (tptp.c_lessequals @t20 @t2 @t1)) % 0.96/1.13 (define @t131 () (not @t118)) % 0.96/1.13 (define @t132 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.96/1.13 (define @t133 () (not @t129)) % 0.96/1.13 (define @t134 () (tptp.c_Fun_Oinj__on @t41 @t33 @t1 @t44)) % 0.96/1.13 (define @t135 () (not @t134)) % 0.96/1.13 (define @t136 () (tptp.c_Fun_Oinj__on @t41 @t29 @t1 @t44)) % 0.96/1.13 (define @t137 () (@list @t41 @t29 @t1 @t44 @t33)) % 0.96/1.13 (define @t138 () (@var "V_Q" $$unsorted)) % 0.96/1.13 (define @t139 () (@var "V_P" $$unsorted)) % 0.96/1.13 (define @t140 () (not (tptp.c_lessequals @t139 @t138 @t27))) % 0.96/1.13 (define @t141 () (tptp.hBOOL (tptp.hAPP @t139 @t2))) % 0.96/1.13 (define @t142 () (not @t141)) % 0.96/1.13 (define @t143 () (tptp.hBOOL (tptp.hAPP @t138 @t2))) % 0.96/1.13 (define @t144 () (@list @t138 @t2 @t139 @t1)) % 0.96/1.13 (define @t145 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.96/1.13 (define @t146 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.96/1.13 (define @t147 () (@var "V_M" $$unsorted)) % 0.96/1.13 (define @t148 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t33 @t94)) % 0.96/1.13 (define @t149 () (not (tptp.c_Fun_Oinj__on @t41 @t100 @t1 @t44))) % 0.96/1.13 (define @t150 () (tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 @t139 @t41 @t1 @t44)) % 0.96/1.13 (define @t151 () (tptp.c_Hilbert__Choice_Oinv__into @t100 @t41 @t1 @t44)) % 0.96/1.13 (define @t152 () (= @t20 @t2)) % 0.96/1.13 (define @t153 () (tptp.hAPP @t41 @t20)) % 0.96/1.13 (define @t154 () (@var "V_x_H" $$unsorted)) % 0.96/1.13 (define @t155 () (@var "V_y_H" $$unsorted)) % 0.96/1.13 (define @t156 () (tptp.c_lessequals @t155 @t154 @t1)) % 0.96/1.13 (define @t157 () (tptp.c_HOL_Ominus__class_Ominus @t154 @t155 @t1)) % 0.96/1.13 (define @t158 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1) @t157))) % 0.96/1.13 (define @t159 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.96/1.13 (define @t160 () (@list @t1 @t2 @t3 @t154 @t155)) % 0.96/1.13 (define @t161 () (tptp.c_Set_Oimage @t41 @t33 @t1 @t44)) % 0.96/1.13 (define @t162 () (tptp.c_Set_Oimage @t41 @t29 @t1 @t44)) % 0.96/1.13 (define @t163 () (tptp.c_lessequals @t162 @t161 @t94)) % 0.96/1.13 (define @t164 () (tptp.c_Set_Oimage @t41 @t33 @t44 @t1)) % 0.96/1.13 (define @t165 () (@list @t41 @t29 @t33 @t44 @t1)) % 0.96/1.13 (define @t166 () (@list @t1 @t3 @t2)) % 0.96/1.13 (define @t167 () (@var "V_r" $$unsorted)) % 0.96/1.13 (define @t168 () (not (tptp.c_Equiv__Relations_Oequiv @t29 @t167 @t1))) % 0.96/1.13 (define @t169 () (tptp.c_in @t1)) % 0.96/1.13 (define @t170 () (tptp.hAPP @t169 @t9)) % 0.96/1.13 (define @t171 () (tptp.hBOOL (tptp.hAPP @t170 @t29))) % 0.96/1.13 (define @t172 () (not @t171)) % 0.96/1.13 (define @t173 () (tptp.c_Set_Oinsert @t9 @t37 @t1)) % 0.96/1.13 (define @t174 () (tptp.c_Relation_OImage @t167 @t173 @t1 @t1)) % 0.96/1.13 (define @t175 () (tptp.c_Set_Oinsert @t12 @t37 @t1)) % 0.96/1.13 (define @t176 () (tptp.c_Relation_OImage @t167 @t175 @t1 @t1)) % 0.96/1.13 (define @t177 () (tptp.hAPP @t169 @t12)) % 0.96/1.13 (define @t178 () (not (tptp.hBOOL (tptp.hAPP @t177 @t29)))) % 0.96/1.13 (define @t179 () (tptp.c_in (tptp.tc_prod @t1 @t1))) % 0.96/1.13 (define @t180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.c_Pair @t9 @t12 @t1 @t1)) @t167))) % 0.96/1.13 (define @t181 () (tptp.hAPP @t169 @t2)) % 0.96/1.13 (define @t182 () (tptp.hBOOL (tptp.hAPP @t181 @t29))) % 0.96/1.13 (define @t183 () (tptp.hAPP @t43 @t3)) % 0.96/1.13 (define @t184 () (tptp.c_Set_Oinsert @t2 @t29 @t1)) % 0.96/1.13 (define @t185 () (tptp.c_Set_Oinsert @t2 @t33 @t1)) % 0.96/1.13 (define @t186 () (tptp.c_lessequals @t29 @t185 @t27)) % 0.96/1.13 (define @t187 () (not @t186)) % 0.96/1.13 (define @t188 () (@list @t29 @t2 @t33 @t1)) % 0.96/1.13 (define @t189 () (tptp.c_lessequals @t184 @t33 @t27)) % 0.96/1.13 (define @t190 () (not @t189)) % 0.96/1.13 (define @t191 () (tptp.hBOOL (tptp.hAPP @t181 @t33))) % 0.96/1.13 (define @t192 () (@list @t1 @t2 @t33 @t29)) % 0.96/1.13 (define @t193 () (not @t191)) % 0.96/1.13 (define @t194 () (@list @t2 @t29 @t1 @t33)) % 0.96/1.13 (define @t195 () (tptp.c_in @t44)) % 0.96/1.13 (define @t196 () (tptp.hAPP @t195 @t2)) % 0.96/1.13 (define @t197 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 @t3) @t162))) % 0.96/1.13 (define @t198 () (tptp.c_Hilbert__Choice_Oinv__into @t29 @t41 @t1 @t44)) % 0.96/1.13 (define @t199 () (tptp.hBOOL (tptp.hAPP @t196 @t29))) % 0.96/1.13 (define @t200 () (not @t199)) % 0.96/1.13 (define @t201 () (tptp.hAPP @t169 @t43)) % 0.96/1.13 (define @t202 () (forall (@list @t1 @t41 @t2 @t33 @t44 @t29) (or (tptp.hBOOL (tptp.hAPP @t201 @t33)) @t200 (not (tptp.c_lessequals @t65 @t33 @t27))))) % 0.96/1.13 (define @t203 () (tptp.hAPP @t169 @t3)) % 0.96/1.13 (define @t204 () (tptp.c_Set_Oimage @t45 @t29 @t44 @t1)) % 0.96/1.13 (define @t205 () (@list @t41 @t2 @t3 @t44 @t1 @t29)) % 0.96/1.13 (define @t206 () (not @t180)) % 0.96/1.13 (define @t207 () (= @t174 @t176)) % 0.96/1.13 (define @t208 () (@list @t167 @t9 @t1 @t12 @t29)) % 0.96/1.13 (define @t209 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.c_Pair @t2 @t3 @t1 @t1)) @t167))) % 0.96/1.13 (define @t210 () (not @t209)) % 0.96/1.13 (define @t211 () (tptp.c_Set_Oinsert @t3 @t37 @t1)) % 0.96/1.13 (define @t212 () (tptp.c_Set_Oinsert @t2 @t37 @t1)) % 0.96/1.13 (define @t213 () (tptp.c_Relation_OImage @t167 @t212 @t1 @t1)) % 0.96/1.13 (define @t214 () (= @t213 (tptp.c_Relation_OImage @t167 @t211 @t1 @t1))) % 0.96/1.13 (define @t215 () (@list @t167 @t2 @t1 @t3 @t29)) % 0.96/1.13 (define @t216 () (@var "V_i" $$unsorted)) % 0.96/1.13 (define @t217 () (tptp.hAPP @t169 @t216)) % 0.96/1.13 (define @t218 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t44))) % 0.96/1.13 (define @t219 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t33 @t1 @t94)) % 0.96/1.13 (define @t220 () (tptp.hAPP @t33 @t9)) % 0.96/1.13 (define @t221 () (@var "V_I" $$unsorted)) % 0.96/1.13 (define @t222 () (@var "V_k" $$unsorted)) % 0.96/1.13 (define @t223 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t221 @t29 @t1 @t94)) % 0.96/1.13 (define @t224 () (@var "V_S" $$unsorted)) % 0.96/1.13 (define @t225 () (tptp.c_COMBC @t169 @t1 @t27 tptp.tc_bool)) % 0.96/1.13 (define @t226 () (tptp.hAPP @t225 @t224)) % 0.96/1.13 (define @t227 () (tptp.hAPP @t225 @t91)) % 0.96/1.13 (define @t228 () (tptp.c_lessequals @t227 @t226 @t27)) % 0.96/1.13 (define @t229 () (tptp.c_lessequals @t91 @t224 @t27)) % 0.96/1.13 (define @t230 () (@list @t1 @t91 @t224)) % 0.96/1.13 (define @t231 () (not @t136)) % 0.96/1.13 (define @t232 () (not @t182)) % 0.96/1.13 (define @t233 () (tptp.c_in @t42)) % 0.96/1.13 (define @t234 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t233 @t2) @t29)))) % 0.96/1.13 (define @t235 () (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t1)) % 0.96/1.13 (define @t236 () (@list @t1 @t2 @t29)) % 0.96/1.13 (define @t237 () (tptp.c_Set_Oinsert @t9 @t29 @t1)) % 0.96/1.13 (define @t238 () (@list @t9 @t29 @t1)) % 0.96/1.13 (define @t239 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t99 @t33 @t44 @t27)) % 0.96/1.13 (define @t240 () (@list @t29 @t44 @t33 @t1)) % 0.96/1.13 (define @t241 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t33 @t44 @t27)) % 0.96/1.13 (define @t242 () (tptp.c_Orderings_Otop__class_Otop @t94)) % 0.96/1.13 (define @t243 () (@list @t1 @t9 @t29)) % 0.96/1.13 (define @t244 () (tptp.c_Fun_Oinj__on @t41 @t35 @t1 @t44)) % 0.96/1.13 (define @t245 () (not @t244)) % 0.96/1.13 (define @t246 () (not (= @t162 @t161))) % 0.96/1.13 (define @t247 () (tptp.c_in @t27)) % 0.96/1.13 (define @t248 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t33) @t29)))) % 0.96/1.13 (define @t249 () (@list @t33 @t29 @t1)) % 0.96/1.13 (define @t250 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t33 @t94)) % 0.96/1.13 (define @t251 () (@list @t41 @t29 @t44 @t1 @t33)) % 0.96/1.13 (define @t252 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t28 @t27)) % 0.96/1.13 (define @t253 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t42 tptp.tc_bool))) % 0.96/1.13 (define @t254 () (not (tptp.c_Fun_Oinj__on @t41 @t253 @t42 @t1))) % 0.96/1.13 (define @t255 () (@list @t41 @t42 @t1 @t2)) % 0.96/1.13 (define @t256 () (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t1)) % 0.96/1.13 (define @t257 () (tptp.c_Set_Ovimage @t41 @t29 @t44 @t1)) % 0.96/1.13 (define @t258 () (tptp.c_Set_Oimage @t41 @t257 @t44 @t1)) % 0.96/1.13 (define @t259 () (@list @t41 @t29 @t44 @t1)) % 0.96/1.13 (define @t260 () (tptp.c_Set_OPow @t33 @t1)) % 0.96/1.13 (define @t261 () (tptp.hAPP @t247 @t29)) % 0.96/1.13 (define @t262 () (tptp.hBOOL (tptp.hAPP @t261 @t260))) % 0.96/1.13 (define @t263 () (@list @t1 @t29 @t33)) % 0.96/1.13 (define @t264 () (tptp.c_Equiv__Relations_Oquotient @t29 @t167 @t1)) % 0.96/1.13 (define @t265 () (tptp.hBOOL (tptp.hAPP @t203 @t29))) % 0.96/1.13 (define @t266 () (not @t265)) % 0.96/1.13 (define @t267 () (not @t214)) % 0.96/1.13 (define @t268 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t212 @t27)) % 0.96/1.13 (define @t269 () (tptp.c_lessequals @t268 @t33 @t27)) % 0.96/1.13 (define @t270 () (not @t269)) % 0.96/1.13 (define @t271 () (@list @t1 @t29)) % 0.96/1.13 (define @t272 () (@list @t29 @t9 @t33 @t1)) % 0.96/1.13 (define @t273 () (@list @t9 @t33 @t1 @t28)) % 0.96/1.13 (define @t274 () (tptp.c_Set_Oinsert @t12 @t33 @t1)) % 0.96/1.13 (define @t275 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t29 @t27)) % 0.96/1.13 (define @t276 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t29 @t27)) % 0.96/1.13 (define @t277 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t28 @t27)) % 0.96/1.13 (define @t278 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t20 @t1)) % 0.96/1.13 (define @t279 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t278 @t1)) % 0.96/1.13 (define @t280 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t20 @t1)) % 0.96/1.13 (define @t281 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t280 @t1)) % 0.96/1.13 (define @t282 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 0.96/1.13 (define @t283 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t86 @t27)) % 0.96/1.13 (define @t284 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t280 @t1)) % 0.96/1.13 (define @t285 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t20 @t1) @t284)) % 0.96/1.13 (define @t286 () (= @t284 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t59 @t1))) % 0.96/1.13 (define @t287 () (= @t4 @t2)) % 0.96/1.13 (define @t288 () (not @t125)) % 0.96/1.13 (define @t289 () (not @t124)) % 0.96/1.13 (define @t290 () (@list @t1 @t9 @t12 @t2)) % 0.96/1.13 (define @t291 () (tptp.c_lessequals @t2 @t51 @t1)) % 0.96/1.13 (define @t292 () (tptp.c_lessequals @t3 @t51 @t1)) % 0.96/1.13 (define @t293 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t29 @t27)) % 0.96/1.13 (define @t294 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t293 @t27)) % 0.96/1.13 (define @t295 () (tptp.c_Set_Ovimage @t41 @t33 @t44 @t1)) % 0.96/1.13 (define @t296 () (not (= @t35 @t37))) % 0.96/1.13 (define @t297 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t33 @t1) @t68))) % 0.96/1.13 (define @t298 () (tptp.c_Fun_Obij__betw @t41 @t29 @t33 @t1 @t44)) % 0.96/1.13 (define @t299 () (not @t298)) % 0.96/1.13 (define @t300 () (@list @t29 @t41 @t1 @t44 @t33)) % 0.96/1.13 (define @t301 () (not @t103)) % 0.96/1.13 (define @t302 () (not @t16)) % 0.96/1.13 (define @t303 () (tptp.c_lessequals @t15 @t2 @t1)) % 0.96/1.13 (define @t304 () (not @t24)) % 0.96/1.13 (define @t305 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t28 @t27)) % 0.96/1.13 (define @t306 () (= @t51 @t105)) % 0.96/1.13 (define @t307 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t51 @t1) @t51)) % 0.96/1.13 (define @t308 () (tptp.c_Set_Ovimage @t41 @t33 @t1 @t44)) % 0.96/1.13 (define @t309 () (tptp.c_Set_Ovimage @t41 @t29 @t1 @t44)) % 0.96/1.13 (define @t310 () (@list @t41 @t2 @t3 @t1 @t44)) % 0.96/1.13 (define @t311 () (@list @t41 @t33 @t1 @t44 @t29)) % 0.96/1.13 (define @t312 () (tptp.c_lessequals @t29 @t86 @t27)) % 0.96/1.13 (define @t313 () (tptp.c_lessequals @t62 @t28 @t27)) % 0.96/1.13 (define @t314 () (tptp.tc_fun @t1 @t44)) % 0.96/1.13 (define @t315 () (@var "V_t" $$unsorted)) % 0.96/1.13 (define @t316 () (tptp.hAPP @t169 @t315)) % 0.96/1.13 (define @t317 () (tptp.hAPP @t169 @t80)) % 0.96/1.13 (define @t318 () (tptp.hBOOL (tptp.hAPP @t317 @t29))) % 0.96/1.13 (define @t319 () (not @t318)) % 0.96/1.13 (define @t320 () (tptp.hBOOL (tptp.hAPP @t317 @t33))) % 0.96/1.13 (define @t321 () (@list @t1 @t80 @t33 @t29)) % 0.96/1.13 (define @t322 () (tptp.hBOOL (tptp.hAPP @t317 @t35))) % 0.96/1.13 (define @t323 () (@list @t1 @t80 @t29 @t33)) % 0.96/1.13 (define @t324 () (not @t320)) % 0.96/1.13 (define @t325 () (tptp.c_FuncSet_Ocompose @t29 @t115 @t41 @t1 @t114 @t44)) % 0.96/1.13 (define @t326 () (tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 @t29 @t33 @t139 @t1)) % 0.96/1.13 (define @t327 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t326) @t35))) % 0.96/1.13 (define @t328 () (@var "V_xa" $$unsorted)) % 0.96/1.13 (define @t329 () (tptp.hAPP @t169 @t328)) % 0.96/1.13 (define @t330 () (not (tptp.hBOOL (tptp.hAPP @t329 @t29)))) % 0.96/1.13 (define @t331 () (not (tptp.hBOOL (tptp.hAPP @t139 @t328)))) % 0.96/1.13 (define @t332 () (tptp.c_Pair @t9 @t12 @t1 @t44)) % 0.96/1.13 (define @t333 () (tptp.hAPP (tptp.c_in (tptp.tc_prod @t1 @t44)) @t332)) % 0.96/1.13 (define @t334 () (not (tptp.hBOOL (tptp.hAPP @t333 @t167)))) % 0.96/1.13 (define @t335 () (tptp.hAPP @t195 @t12)) % 0.96/1.13 (define @t336 () (tptp.c_in (tptp.tc_prod @t44 @t1))) % 0.96/1.13 (define @t337 () (tptp.c_fequal @t1)) % 0.96/1.13 (define @t338 () (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC @t337 @t1 @t1 tptp.tc_bool) @t9) @t1)) % 0.96/1.13 (define @t339 () (tptp.c_Set_Oinsert @t9 @t175 @t1)) % 0.96/1.13 (define @t340 () (@list @t1 @t9 @t12)) % 0.96/1.13 (define @t341 () (tptp.c_Complete__Lattice_OSup__class_OSup @t28 @t27)) % 0.96/1.13 (define @t342 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t29 @t27) @t37)) % 0.96/1.13 (define @t343 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1 @t29 @t28 @t1)) % 0.96/1.13 (define @t344 () (not (tptp.c_Fun_Oinj__on @t41 @t28 @t1 @t44))) % 0.96/1.13 (define @t345 () (= (tptp.c_Set_Oimage @t41 @t88 @t1 @t44) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t162 @t161 @t94))) % 0.96/1.13 (define @t346 () (@list @t41 @t29 @t33 @t1 @t44 @t28)) % 0.96/1.13 (define @t347 () (@var "V_X" $$unsorted)) % 0.96/1.13 (define @t348 () (tptp.c_Set_Oimage @t41 @t62 @t1 @t44)) % 0.96/1.13 (define @t349 () (= @t348 (tptp.c_HOL_Ominus__class_Ominus @t162 @t161 @t94))) % 0.96/1.13 (define @t350 () (tptp.c_Set_Oinsert @t9 @t99 @t44)) % 0.96/1.13 (define @t351 () (tptp.c_Set_Oinsert @t9 @t33 @t44)) % 0.96/1.13 (define @t352 () (@list @t41 @t9 @t33 @t44 @t1)) % 0.96/1.13 (define @t353 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t173 @t27)) % 0.96/1.13 (define @t354 () (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 @t43 @t41 @t2 @t1 @t42)) % 0.96/1.13 (define @t355 () (tptp.c_Set_Oimage @t41 @t253 @t42 @t1)) % 0.96/1.13 (define @t356 () (tptp.hBOOL (tptp.hAPP @t201 @t355))) % 0.96/1.13 (define @t357 () (tptp.c_Set_Oimage @t41 @t100 @t1 @t44)) % 0.96/1.13 (define @t358 () (tptp.hAPP @t41 @t3)) % 0.96/1.13 (define @t359 () (tptp.hAPP @t247 @t347)) % 0.96/1.13 (define @t360 () (not (tptp.hBOOL (tptp.hAPP @t359 @t264)))) % 0.96/1.13 (define @t361 () (@var "V_Y" $$unsorted)) % 0.96/1.13 (define @t362 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t361) @t264)))) % 0.96/1.13 (define @t363 () (= @t347 @t361)) % 0.96/1.13 (define @t364 () (tptp.c_FuncSet_OPi @t29 (tptp.c_COMBK @t33 @t94 @t1) @t1 @t44)) % 0.96/1.13 (define @t365 () (tptp.c_in @t314)) % 0.96/1.13 (define @t366 () (tptp.hAPP @t365 @t41)) % 0.96/1.13 (define @t367 () (tptp.hBOOL (tptp.hAPP @t366 @t364))) % 0.96/1.13 (define @t368 () (not @t367)) % 0.96/1.13 (define @t369 () (tptp.c_FuncSet_Osko__FuncSet__XrestrictI__1__1 @t29 @t33 @t41 @t1 @t44)) % 0.96/1.13 (define @t370 () (tptp.c_FuncSet_OPi @t29 @t33 @t1 @t44)) % 0.96/1.13 (define @t371 () (tptp.c_FuncSet_Orestrict @t41 @t29 @t1 @t44)) % 0.96/1.13 (define @t372 () (tptp.hAPP @t365 @t371)) % 0.96/1.13 (define @t373 () (tptp.hBOOL (tptp.hAPP @t372 @t370))) % 0.96/1.13 (define @t374 () (@list @t1 @t44 @t41 @t29 @t33)) % 0.96/1.13 (define @t375 () (tptp.c_COMBI @t1)) % 0.96/1.13 (define @t376 () (tptp.c_FuncSet_Orestrict @t66 @t65 @t1 @t44)) % 0.96/1.13 (define @t377 () (tptp.c_FuncSet_Orestrict @t375 @t29 @t1 @t1)) % 0.96/1.13 (define @t378 () (tptp.hBOOL (tptp.hAPP @t177 (tptp.c_Relation_OImage @t167 @t350 @t44 @t1)))) % 0.96/1.13 (define @t379 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t336 (tptp.c_Pair @t9 @t12 @t44 @t1)) @t167))) % 0.96/1.13 (define @t380 () (tptp.hAPP @t247 @t2)) % 0.96/1.13 (define @t381 () (not (tptp.hBOOL (tptp.hAPP @t380 @t264)))) % 0.96/1.13 (define @t382 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t348 (tptp.c_Set_Oimage @t41 @t293 @t1 @t44) @t94) @t99)) % 0.96/1.13 (define @t383 () (@list @t41 @t29 @t33 @t1 @t44)) % 0.96/1.13 (define @t384 () (= @t9 @t12)) % 0.96/1.13 (define @t385 () (@var "V_b_H" $$unsorted)) % 0.96/1.13 (define @t386 () (@var "V_a_H" $$unsorted)) % 0.96/1.13 (define @t387 () (= @t386 @t385)) % 0.96/1.13 (define @t388 () (= @t9 @t385)) % 0.96/1.13 (define @t389 () (= @t12 @t386)) % 0.96/1.13 (define @t390 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.96/1.13 (define @t391 () (tptp.tc_fun @t390 tptp.tc_bool)) % 0.96/1.13 (define @t392 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t391)) % 0.96/1.13 (define @t393 () (tptp.c_in @t392)) % 0.96/1.13 (define @t394 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t393 @t139) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 0.96/1.13 (define @t395 () (@var "V_P_H" $$unsorted)) % 0.96/1.13 (define @t396 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t393 @t395) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 0.96/1.13 (define @t397 () (tptp.v_sko__local__X1__1 @t139 @t395 @t9 @t386 @t12 @t385)) % 0.96/1.13 (define @t398 () (tptp.c_in @t390)) % 0.96/1.13 (define @t399 () (tptp.hAPP @t398 (tptp.c_Pair @t9 @t12 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t400 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t139 @t397)))) % 0.96/1.13 (define @t401 () (tptp.hAPP @t398 (tptp.c_Pair @t386 @t385 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t402 () (tptp.hBOOL (tptp.hAPP @t401 (tptp.hAPP @t395 @t397)))) % 0.96/1.13 (define @t403 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP tptp.v_F @t139)))) % 0.96/1.13 (define @t404 () (not @t403)) % 0.96/1.13 (define @t405 () (tptp.hAPP tptp.v_F @t395)) % 0.96/1.13 (define @t406 () (tptp.hBOOL (tptp.hAPP @t401 @t405))) % 0.96/1.13 (define @t407 () (@list @t386 @t385 @t395 @t9 @t12 @t139)) % 0.96/1.13 (define @t408 () (tptp.v_sko__local__X2__1 @t139 @t395 @t9 @t386 @t12 @t385)) % 0.96/1.13 (define @t409 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t139 @t408)))) % 0.96/1.13 (define @t410 () (tptp.hBOOL (tptp.hAPP @t401 (tptp.hAPP @t395 @t408)))) % 0.96/1.13 (define @t411 () (not @t406)) % 0.96/1.13 (define @t412 () (@list @t9 @t12 @t139 @t386 @t385 @t395)) % 0.96/1.13 (define @t413 () (not @t409)) % 0.96/1.13 (define @t414 () (not @t410)) % 0.96/1.13 (define @t415 () (tptp.v_sko__local__Xpairwise__neutrality__1 @t139 @t395 @t9 @t386 @t12 @t385)) % 0.96/1.13 (define @t416 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t139 @t415)))) % 0.96/1.13 (define @t417 () (tptp.hBOOL (tptp.hAPP @t401 (tptp.hAPP @t395 @t415)))) % 0.96/1.13 (define @t418 () (not @t416)) % 0.96/1.13 (define @t419 () (not @t417)) % 0.96/1.13 (define @t420 () (tptp.v_sko__local__X3__1 @t139 @t395 @t9 @t12)) % 0.96/1.13 (define @t421 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t139 @t420)))) % 0.96/1.13 (define @t422 () (tptp.hAPP @t398 (tptp.c_Pair @t12 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t423 () (tptp.hBOOL (tptp.hAPP @t422 (tptp.hAPP @t395 @t420)))) % 0.96/1.13 (define @t424 () (tptp.hBOOL (tptp.hAPP @t422 @t405))) % 0.96/1.13 (define @t425 () (@list @t12 @t9 @t395 @t139)) % 0.96/1.13 (define @t426 () (not @t424)) % 0.96/1.13 (define @t427 () (@list @t9 @t12 @t139 @t395)) % 0.96/1.13 (define @t428 () (not @t421)) % 0.96/1.13 (define @t429 () (not @t423)) % 0.96/1.13 (define @t430 () (= @t12 @t80)) % 0.96/1.13 (define @t431 () (tptp.v_sko__local__X4__1 @t139 @t395 @t9 @t12 @t80)) % 0.96/1.13 (define @t432 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t139 @t431)))) % 0.96/1.13 (define @t433 () (tptp.hAPP @t398 (tptp.c_Pair @t12 @t80 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t434 () (tptp.hBOOL (tptp.hAPP @t433 (tptp.hAPP @t395 @t431)))) % 0.96/1.13 (define @t435 () (tptp.hBOOL (tptp.hAPP @t433 @t405))) % 0.96/1.13 (define @t436 () (@list @t12 @t80 @t395 @t9 @t139)) % 0.96/1.13 (define @t437 () (not @t435)) % 0.96/1.13 (define @t438 () (@list @t9 @t12 @t139 @t80 @t395)) % 0.96/1.13 (define @t439 () (not @t432)) % 0.96/1.13 (define @t440 () (not @t434)) % 0.96/1.13 (define @t441 () (@var "V_F" $$unsorted)) % 0.96/1.13 (define @t442 () (not (tptp.c_Arrow__Order__Mirabelle_OIIA @t441))) % 0.96/1.13 (define @t443 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t393 @t2) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 0.96/1.13 (define @t444 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t393 @t328) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 0.96/1.13 (define @t445 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 @t9 @t12 @t2 @t328)) % 0.96/1.13 (define @t446 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t2 @t445)))) % 0.96/1.13 (define @t447 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t328 @t445)))) % 0.96/1.13 (define @t448 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t441 @t2)))) % 0.96/1.13 (define @t449 () (not @t448)) % 0.96/1.13 (define @t450 () (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t441 @t328)))) % 0.96/1.13 (define @t451 () (@list @t9 @t12 @t441 @t328 @t2)) % 0.96/1.13 (define @t452 () (not @t450)) % 0.96/1.13 (define @t453 () (@list @t9 @t12 @t441 @t2 @t328)) % 0.96/1.13 (define @t454 () (not @t446)) % 0.96/1.13 (define @t455 () (not @t447)) % 0.96/1.13 (define @t456 () (= (tptp.c_Equiv__Relations_Oquotient @t212 @t167 @t1) (tptp.c_Equiv__Relations_Oquotient @t211 @t167 @t1))) % 0.96/1.13 (define @t457 () (@list @t2 @t1 @t167 @t3 @t29)) % 0.96/1.13 (define @t458 () (tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 @t29 @t347 @t167 @t1)) % 0.96/1.13 (define @t459 () (tptp.c_Set_Oinsert @t3 @t29 @t1)) % 0.96/1.13 (define @t460 () (= @t3 @t20)) % 0.96/1.13 (define @t461 () (@var "V_L" $$unsorted)) % 0.96/1.13 (define @t462 () (tptp.hAPP @t398 (tptp.c_Pair @t2 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t463 () (tptp.hBOOL (tptp.hAPP @t462 @t461))) % 0.96/1.13 (define @t464 () (not @t463)) % 0.96/1.13 (define @t465 () (tptp.hBOOL (tptp.hAPP @t462 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t461 @t20)))) % 0.96/1.13 (define @t466 () (@list @t2 @t3 @t461 @t20)) % 0.96/1.13 (define @t467 () (tptp.hBOOL (tptp.hAPP @t333 (tptp.c_Product__Type_OSigma @t29 @t33 @t1 @t44)))) % 0.96/1.13 (define @t468 () (not @t467)) % 0.96/1.13 (define @t469 () (tptp.hBOOL (tptp.hAPP @t335 @t220))) % 0.96/1.13 (define @t470 () (tptp.hAPP @t169 @t29)) % 0.96/1.13 (define @t471 () (tptp.hBOOL (tptp.hAPP @t470 @t341))) % 0.96/1.13 (define @t472 () (not @t471)) % 0.96/1.13 (define @t473 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 @t29 @t28 @t1)) % 0.96/1.13 (define @t474 () (@list @t1 @t29 @t28)) % 0.96/1.13 (define @t475 () (tptp.c_Fun_Obij__betw @t371 @t29 @t33 @t1 @t44)) % 0.96/1.13 (define @t476 () (tptp.hAPP @t41 @t9)) % 0.96/1.13 (define @t477 () (tptp.hAPP @t195 @t476)) % 0.96/1.13 (define @t478 () (tptp.hBOOL (tptp.hAPP @t477 (tptp.c_Set_Oimage @t41 @t353 @t1 @t44)))) % 0.96/1.13 (define @t479 () (tptp.c_Fun_Oinj__on @t41 @t237 @t1 @t44)) % 0.96/1.13 (define @t480 () (tptp.c_FuncSet_Oextensional @t29 @t1 @t44)) % 0.96/1.13 (define @t481 () (not (tptp.hBOOL (tptp.hAPP @t366 @t480)))) % 0.96/1.13 (define @t482 () (tptp.hAPP @t365 @t115)) % 0.96/1.13 (define @t483 () (not (tptp.hBOOL (tptp.hAPP @t482 @t480)))) % 0.96/1.13 (define @t484 () (tptp.c_Collect @t139 @t1)) % 0.96/1.13 (define @t485 () (tptp.hBOOL (tptp.hAPP @t181 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t484 @t27)))) % 0.96/1.13 (define @t486 () (not @t485)) % 0.96/1.13 (define @t487 () (not (= @t88 @t37))) % 0.96/1.13 (define @t488 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 @t29 @t28 @t1)) % 0.96/1.13 (define @t489 () (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Complete__Lattice_OInf__class_OInf @t28 @t27)))) % 0.96/1.13 (define @t490 () (tptp.c_COMBK @t80 @t44 @t1)) % 0.96/1.13 (define @t491 () (not @t479)) % 0.96/1.13 (define @t492 () (tptp.c_HOL_Ominus__class_Ominus @t184 @t33 @t27)) % 0.96/1.13 (define @t493 () (@list @t1 @t361)) % 0.96/1.13 (define @t494 () (@var "V_top" $$unsorted)) % 0.96/1.13 (define @t495 () (@var "V_bot" $$unsorted)) % 0.96/1.13 (define @t496 () (@var "V_sup" $$unsorted)) % 0.96/1.13 (define @t497 () (@var "V_inf" $$unsorted)) % 0.96/1.13 (define @t498 () (@var "V_less" $$unsorted)) % 0.96/1.13 (define @t499 () (@var "V_less__eq" $$unsorted)) % 0.96/1.13 (define @t500 () (@var "V_Sup" $$unsorted)) % 0.96/1.13 (define @t501 () (@var "V_Inf" $$unsorted)) % 0.96/1.13 (define @t502 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t501 @t500 @t499 @t498 @t497 @t496 @t495 @t494 @t1))) % 0.96/1.13 (define @t503 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t461 @t2)) % 0.96/1.13 (define @t504 () (tptp.hAPP @t398 (tptp.c_Pair @t328 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t505 () (@list @t328 @t2 @t461)) % 0.96/1.13 (define @t506 () (tptp.hAPP @t398 (tptp.c_Pair @t2 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t507 () (@list @t2 @t461)) % 0.96/1.13 (define @t508 () (= @t29 @t99)) % 0.96/1.13 (define @t509 () (@list @t41 @t29 @t1 @t44)) % 0.96/1.13 (define @t510 () (@list @t41 @t44 @t1)) % 0.96/1.13 (define @t511 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t98 @t27)) % 0.96/1.13 (define @t512 () (tptp.c_Set_Oinsert @t9 @t88 @t1)) % 0.96/1.13 (define @t513 () (@list @t2 @t29 @t1)) % 0.96/1.13 (define @t514 () (tptp.hBOOL (tptp.hAPP @t459 @t2))) % 0.96/1.13 (define @t515 () (= @t3 @t2)) % 0.96/1.13 (define @t516 () (= @t76 @t37)) % 0.96/1.13 (define @t517 () (tptp.hAPP @t496 @t9)) % 0.96/1.13 (define @t518 () (tptp.hAPP @t497 @t9)) % 0.96/1.13 (define @t519 () (tptp.c_Set_Oimage @t41 @t242 @t44 @t1)) % 0.96/1.13 (define @t520 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.96/1.13 (define @t521 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.96/1.13 (define @t522 () (tptp.c_Set_Oimage @t41 @t99 @t44 @t1)) % 0.96/1.13 (define @t523 () (= @t4 @t282)) % 0.96/1.13 (define @t524 () (tptp.c_Set_Oinsert @t9 @t353 @t1)) % 0.96/1.13 (define @t525 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t461 @t2)) % 0.96/1.13 (define @t526 () (= @t328 @t2)) % 0.96/1.13 (define @t527 () (tptp.c_COMBK @t80 @t1 @t44)) % 0.96/1.13 (define @t528 () (tptp.c_COMBK @t80 @t27 @t44)) % 0.96/1.13 (define @t529 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t98 @t27)) % 0.96/1.13 (define @t530 () (tptp.hBOOL (tptp.hAPP @t170 @t28))) % 0.96/1.13 (define @t531 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t98 @t28 @t27)) % 0.96/1.13 (define @t532 () (@list @t1 @t9)) % 0.96/1.13 (define @t533 () (@list @t1 @t2 @t29 @t139)) % 0.96/1.13 (define @t534 () (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t9 @t12)) % 0.96/1.13 (define @t535 () (@list @t9 @t12)) % 0.96/1.13 (define @t536 () (@list @t44 @t41 @t9 @t29 @t1)) % 0.96/1.13 (define @t537 () (tptp.hBOOL (tptp.hAPP @t88 @t2))) % 0.96/1.13 (define @t538 () (not @t537)) % 0.96/1.13 (define @t539 () (tptp.c_in @t391)) % 0.96/1.13 (define @t540 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 @t461) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.96/1.13 (define @t541 () (not @t540)) % 0.96/1.13 (define @t542 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t461 @t9 @t12)) % 0.96/1.13 (define @t543 () (@list @t2 @t461 @t9 @t12)) % 0.96/1.13 (define @t544 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t461 @t9 @t2)) % 0.96/1.13 (define @t545 () (tptp.hBOOL (tptp.hAPP @t504 @t544))) % 0.96/1.13 (define @t546 () (= @t9 @t2)) % 0.96/1.13 (define @t547 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t328 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461))) % 0.96/1.13 (define @t548 () (not @t547)) % 0.96/1.13 (define @t549 () (@list @t328 @t9 @t461 @t2)) % 0.96/1.13 (define @t550 () (tptp.hBOOL (tptp.hAPP @t462 (tptp.c_Arrow__Order__Mirabelle_Oabove @t461 @t2 @t12)))) % 0.96/1.13 (define @t551 () (= @t2 @t12)) % 0.96/1.13 (define @t552 () (tptp.hBOOL (tptp.hAPP @t462 @t542))) % 0.96/1.13 (define @t553 () (= @t3 @t12)) % 0.96/1.13 (define @t554 () (@list @t328 @t2 @t461 @t9)) % 0.96/1.13 (define @t555 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t9 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461))) % 0.96/1.13 (define @t556 () (tptp.hBOOL (tptp.hAPP @t462 @t544))) % 0.96/1.13 (define @t557 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t461 @t2 @t12)) % 0.96/1.13 (define @t558 () (tptp.hBOOL (tptp.hAPP @t462 @t557))) % 0.96/1.13 (define @t559 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t2 @t12 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461)))) % 0.96/1.13 (define @t560 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t12 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461))) % 0.96/1.13 (define @t561 () (not @t560)) % 0.96/1.13 (define @t562 () (@list @t12 @t3 @t461 @t2)) % 0.96/1.13 (define @t563 () (not (tptp.hBOOL (tptp.hAPP @t504 @t461)))) % 0.96/1.13 (define @t564 () (tptp.hBOOL (tptp.hAPP @t504 (tptp.c_Arrow__Order__Mirabelle_Obelow @t461 @t9 @t2)))) % 0.96/1.13 (define @t565 () (= @t2 @t9)) % 0.96/1.13 (define @t566 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t461 @t9 @t12)) % 0.96/1.13 (define @t567 () (tptp.hBOOL (tptp.hAPP @t462 @t566))) % 0.96/1.13 (define @t568 () (@list @t2 @t3 @t461 @t9 @t12)) % 0.96/1.13 (define @t569 () (= @t3 @t9)) % 0.96/1.13 (define @t570 () (tptp.hAPP @t398 (tptp.c_Pair @t2 @t328 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.96/1.13 (define @t571 () (tptp.hBOOL (tptp.hAPP @t570 (tptp.c_Arrow__Order__Mirabelle_Obelow @t461 @t2 @t328)))) % 0.96/1.13 (define @t572 () (= @t2 @t328)) % 0.96/1.13 (define @t573 () (not @t555)) % 0.96/1.13 (define @t574 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t2 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461)))) % 0.96/1.13 (define @t575 () (tptp.hBOOL (tptp.hAPP @t504 (tptp.c_Arrow__Order__Mirabelle_Oabove @t461 @t328 @t2)))) % 0.96/1.13 (define @t576 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t328 @t12 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461))) % 0.96/1.13 (define @t577 () (tptp.hBOOL (tptp.hAPP @t504 @t557))) % 0.96/1.13 (define @t578 () (tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 @t29 @t139 @t1)) % 0.96/1.13 (define @t579 () (tptp.hBOOL (tptp.hAPP @t139 @t578))) % 0.96/1.13 (define @t580 () (tptp.hBOOL (tptp.hAPP @t317 @t88))) % 0.96/1.13 (define @t581 () (@var "V_l" $$unsorted)) % 0.96/1.13 (define @t582 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t499 @t581) @t216))) % 0.96/1.13 (define @t583 () (not @t582)) % 0.96/1.13 (define @t584 () (@var "V_u" $$unsorted)) % 0.96/1.13 (define @t585 () (tptp.hAPP @t498 @t216)) % 0.96/1.13 (define @t586 () (tptp.hBOOL (tptp.hAPP @t585 @t584))) % 0.96/1.13 (define @t587 () (not @t586)) % 0.96/1.13 (define @t588 () (tptp.hBOOL (tptp.hAPP @t217 (tptp.c_SetInterval_Oord_OatLeastLessThan @t499 @t498 @t581 @t584 @t1)))) % 0.96/1.13 (define @t589 () (tptp.hBOOL (tptp.hAPP @t170 (tptp.c_Set_Oinsert @t12 @t29 @t1)))) % 0.96/1.13 (define @t590 () (tptp.c_FuncSet_Orestrict @t41 @t29 @t44 @t1)) % 0.96/1.13 (define @t591 () (tptp.hAPP @t590 @t2)) % 0.96/1.13 (define @t592 () (@list @t41 @t29 @t44 @t1 @t2)) % 0.96/1.13 (define @t593 () (tptp.hAPP @t499 @t216)) % 0.96/1.13 (define @t594 () (tptp.hBOOL (tptp.hAPP @t593 @t584))) % 0.96/1.13 (define @t595 () (tptp.hBOOL (tptp.hAPP @t217 (tptp.c_SetInterval_Oord_OatLeastAtMost @t499 @t581 @t584 @t1)))) % 0.96/1.13 (define @t596 () (tptp.hBOOL (tptp.hAPP @t139 @t9))) % 0.96/1.13 (define @t597 () (not @t596)) % 0.96/1.13 (define @t598 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t578) @t29))) % 0.96/1.13 (define @t599 () (not (tptp.hBOOL (tptp.hAPP @t181 @t37)))) % 0.96/1.13 (define @t600 () (@list @t139 @t2 @t1)) % 0.96/1.13 (define @t601 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t581) @t216))) % 0.96/1.13 (define @t602 () (tptp.hBOOL (tptp.hAPP @t217 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t498 @t581 @t584 @t1)))) % 0.96/1.13 (define @t603 () (tptp.hBOOL (tptp.hAPP @t317 @t62))) % 0.96/1.13 (define @t604 () (not @t603)) % 0.96/1.13 (define @t605 () (tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 @t29 @t139 @t1)) % 0.96/1.13 (define @t606 () (@list @t139 @t29 @t1 @t2)) % 0.96/1.13 (define @t607 () (tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 @t29 @t139 @t1)) % 0.96/1.13 (define @t608 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 @t29 @t139 @t138 @t1)) % 0.96/1.13 (define @t609 () (not (tptp.hBOOL (tptp.hAPP @t139 @t608)))) % 0.96/1.13 (define @t610 () (not (tptp.hBOOL (tptp.hAPP @t138 @t608)))) % 0.96/1.13 (define @t611 () (@var "V_xf" $$unsorted)) % 0.96/1.13 (define @t612 () (@var "V_xg" $$unsorted)) % 0.96/1.13 (define @t613 () (tptp.hBOOL (tptp.hAPP @t477 @t162))) % 0.96/1.13 (define @t614 () (not (= @t43 @t358))) % 0.96/1.13 (define @t615 () (@list @t2 @t3 @t461)) % 0.96/1.13 (define @t616 () (tptp.c_Relation_Oconverse @t167 @t1 @t44)) % 0.96/1.13 (define @t617 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t23 @t1)) % 0.96/1.13 (define @t618 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t20 @t1) @t617)) % 0.96/1.13 (define @t619 () (= @t617 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t278 @t1))) % 0.96/1.13 (define @t620 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t109 @t27)) % 0.96/1.13 (define @t621 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t33 @t1) @t101))) % 0.96/1.13 (define @t622 () (tptp.c_HOL_Ominus__class_Ominus @t277 @t109 @t27)) % 0.96/1.13 (define @t623 () (tptp.c_FuncSet_Ocompose @t29 @t115 @t41 @t1 @t44 @t114)) % 0.96/1.13 (define @t624 () (= @t41 @t115)) % 0.96/1.13 (define @t625 () (tptp.c_FuncSet_Osko__FuncSet__XextensionalityI__1__1 @t29 @t41 @t115 @t1 @t44)) % 0.96/1.13 (define @t626 () (tptp.hBOOL (tptp.hAPP @t462 (tptp.c_Arrow__Order__Mirabelle_Omktop @t461 @t20)))) % 0.96/1.13 (define @t627 () (= @t9 @t82)) % 0.96/1.13 (define @t628 () (not (= @t339 (tptp.c_Set_Oinsert @t80 (tptp.c_Set_Oinsert @t82 @t37 @t1) @t1)))) % 0.96/1.13 (define @t629 () (@list @t9 @t12 @t1 @t80 @t82)) % 0.96/1.13 (define @t630 () (= @t12 @t82)) % 0.96/1.13 (define @t631 () (tptp.hAPP @t500 @t29)) % 0.96/1.13 (define @t632 () (tptp.hAPP @t501 @t29)) % 0.96/1.13 (define @t633 () (not (tptp.hBOOL (tptp.hAPP @t329 @t76)))) % 0.96/1.13 (define @t634 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 @t29 @t33 @t139 @t44 @t1)) % 0.96/1.13 (define @t635 () (tptp.c_Fun_Oinj__on @t371 @t29 @t1 @t44)) % 0.96/1.13 (define @t636 () (@var "V_f_H" $$unsorted)) % 0.96/1.13 (define @t637 () (@var "V_upd" $$unsorted)) % 0.96/1.13 (define @t638 () (tptp.hAPP @t637 @t41)) % 0.96/1.13 (define @t639 () (tptp.hAPP @t638 @t2)) % 0.96/1.13 (define @t640 () (@var "V_acc" $$unsorted)) % 0.96/1.13 (define @t641 () (tptp.hAPP @t640 @t2)) % 0.96/1.13 (define @t642 () (tptp.hAPP @t41 @t641)) % 0.96/1.13 (define @t643 () (not (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t637 @t640 @t1 @t44))) % 0.96/1.13 (define @t644 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t4 @t1) @t4)) % 0.96/1.13 (define @t645 () (tptp.hBOOL (tptp.hAPP @t333 (tptp.c_Relation_Oconverse @t167 @t44 @t1)))) % 0.96/1.13 (define @t646 () (tptp.hAPP @t336 (tptp.c_Pair @t12 @t9 @t44 @t1))) % 0.96/1.13 (define @t647 () (tptp.hBOOL (tptp.hAPP @t646 @t167))) % 0.96/1.13 (define @t648 () (@list @t44 @t1 @t12 @t9 @t167)) % 0.96/1.13 (define @t649 () (not @t469)) % 0.96/1.13 (define @t650 () (not (= @t332 (tptp.c_Pair @t386 @t385 @t1 @t44)))) % 0.96/1.13 (define @t651 () (@list @t9 @t12 @t1 @t44 @t386 @t385)) % 0.96/1.13 (define @t652 () (tptp.c_Set_OPow @t29 @t1)) % 0.96/1.13 (define @t653 () (tptp.hBOOL (tptp.hAPP @t309 @t2))) % 0.96/1.13 (define @t654 () (tptp.hBOOL (tptp.hAPP @t29 @t43))) % 0.96/1.13 (define @t655 () (tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 @t29 @t139 @t1)) % 0.96/1.13 (define @t656 () (not @t602)) % 0.96/1.13 (define @t657 () (not @t580)) % 0.96/1.13 (define @t658 () (@list @t41 @t2 @t3 @t1 @t29 @t44)) % 0.96/1.13 (define @t659 () (tptp.hBOOL (tptp.hAPP @t170 @t484))) % 0.96/1.13 (define @t660 () (tptp.hBOOL (tptp.hAPP @t593 @t222))) % 0.96/1.13 (define @t661 () (tptp.hBOOL (tptp.hAPP @t217 (tptp.c_SetInterval_Oord_OatMost @t499 @t222 @t1)))) % 0.96/1.13 (define @t662 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t608) @t29))) % 0.96/1.13 (define @t663 () (@var "V_xd" $$unsorted)) % 0.96/1.13 (define @t664 () (@var "V_xe" $$unsorted)) % 0.96/1.13 (define @t665 () (@list @t1 @t29 @t139 @t2)) % 0.96/1.13 (define @t666 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t498 @t222) @t216))) % 0.96/1.13 (define @t667 () (tptp.hBOOL (tptp.hAPP @t217 (tptp.c_SetInterval_Oord_OgreaterThan @t498 @t222 @t1)))) % 0.96/1.13 (define @t668 () (@list @t1 @t216 @t498 @t222)) % 0.96/1.13 (define @t669 () (tptp.hBOOL (tptp.hAPP @t477 @t33))) % 0.96/1.13 (define @t670 () (tptp.hBOOL (tptp.hAPP @t170 @t308))) % 0.96/1.13 (define @t671 () (tptp.hAPP @t169 @t476)) % 0.96/1.13 (define @t672 () (tptp.hAPP @t195 @t9)) % 0.96/1.13 (define @t673 () (not @t595)) % 0.96/1.13 (define @t674 () (tptp.hBOOL (tptp.hAPP @t139 @t326))) % 0.96/1.13 (define @t675 () (tptp.hBOOL (tptp.hAPP @t585 @t222))) % 0.96/1.13 (define @t676 () (tptp.hBOOL (tptp.hAPP @t217 (tptp.c_SetInterval_Oord_OlessThan @t498 @t222 @t1)))) % 0.96/1.13 (define @t677 () (tptp.hAPP @t76 @t12)) % 0.96/1.13 (define @t678 () (tptp.tc_fun @t114 tptp.tc_bool)) % 0.96/1.13 (define @t679 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t33 @t1 (tptp.tc_fun @t44 @t678)) @t12) @t80))) % 0.96/1.13 (define @t680 () (tptp.hBOOL (tptp.hAPP @t219 @t12))) % 0.96/1.13 (define @t681 () (tptp.hAPP @t220 @t12)) % 0.96/1.13 (define @t682 () (not @t588)) % 0.96/1.13 (define @t683 () (tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 @t29 @t139 @t1)) % 0.96/1.13 (define @t684 () (tptp.hBOOL (tptp.hAPP @t201 @t65))) % 0.96/1.13 (define @t685 () (tptp.hAPP @t195 @t43)) % 0.96/1.13 (define @t686 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 @t29 @t33 @t41 @t1 @t44)) % 0.96/1.13 (define @t687 () (tptp.hBOOL (tptp.hAPP @t366 @t370))) % 0.96/1.13 (define @t688 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 @t29 @t33 @t41 @t1 @t44)) % 0.96/1.13 (define @t689 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 @t80) @t29))) % 0.96/1.13 (define @t690 () (tptp.c_Set_Ovimage @t490 @t29 @t1 @t44)) % 0.96/1.13 (define @t691 () (@list @t80 @t44 @t1 @t29)) % 0.96/1.13 (define @t692 () (tptp.c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1 @t29 @t33 @t41 @t1 @t44)) % 0.96/1.13 (define @t693 () (tptp.hBOOL (tptp.hAPP @t372 @t364))) % 0.96/1.13 (define @t694 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t44 @t114)) @t115) (tptp.c_FuncSet_OPi @t33 (tptp.c_COMBK @t28 @t678 @t44) @t44 @t114))))) % 0.96/1.13 (define @t695 () (@var "T_d" $$unsorted)) % 0.96/1.13 (define @t696 () (@var "V_h" $$unsorted)) % 0.96/1.13 (define @t697 () (@var "V_va" $$unsorted)) % 0.96/1.13 (define @t698 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t3 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461))) % 0.96/1.13 (define @t699 () (tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 @t29 @t33 @t41 @t1 @t44)) % 0.96/1.13 (define @t700 () (not @t687)) % 0.96/1.13 (define @t701 () (tptp.hBOOL (tptp.hAPP @t685 @t76))) % 0.96/1.13 (define @t702 () (@list @t44 @t41 @t2 @t33 @t1 @t29)) % 0.96/1.13 (define @t703 () (not (tptp.hBOOL (tptp.hAPP @t359 @t28)))) % 0.96/1.13 (define @t704 () (tptp.hBOOL (tptp.hAPP @t470 @t347))) % 0.96/1.13 (define @t705 () (tptp.c_COMBK @t28 @t27 @t44)) % 0.96/1.13 (define @t706 () (@list @t461 @t2)) % 0.96/1.13 (define @t707 () (@list @t461 @t2 @t3)) % 0.96/1.13 (define @t708 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 (tptp.c_Relation_Oconverse @t461 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.96/1.13 (define @t709 () (@list @t461)) % 0.96/1.13 (define @t710 () (tptp.hBOOL (tptp.hAPP @t224 @t2))) % 0.96/1.13 (define @t711 () (tptp.hBOOL (tptp.hAPP @t181 @t224))) % 0.96/1.13 (define @t712 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 tptp.v_Lba____) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.96/1.13 (define @t713 () (tptp.tc_fun @t391 tptp.tc_bool)) % 0.96/1.13 (define @t714 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t392 @t391)) tptp.v_F) (tptp.c_FuncSet_OPi tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK tptp.c_Arrow__Order__Mirabelle_OLin @t713 @t392) @t392 @t391)))) % 0.96/1.13 (define @t715 () (tptp.c_COMBK tptp.v_Lba____ @t391 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 0.96/1.13 (define @t716 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 (tptp.hAPP tptp.v_F @t715)) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.96/1.13 (define @t717 () (@var "T_1" $$unsorted)) % 0.96/1.13 (define @t718 () (@var "T_2" $$unsorted)) % 0.96/1.13 (define @t719 () (tptp.tc_fun @t718 @t717)) % 0.96/1.13 (define @t720 () (@list @t718 @t717)) % 0.96/1.13 (define @t721 () (not (tptp.class_Lattices_Olattice @t717))) % 0.96/1.13 (define @t722 () (not @t712)) % 0.96/1.13 (define @t723 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t393 @t715) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.96/1.13 (define @t724 () (or @t723 @t722)) % 0.96/1.13 (define @t725 () (@list false false)) % 0.96/1.13 (define @t726 () (not @t714)) % 0.96/1.13 (define @t727 () (tptp.c_lessequals (tptp.c_Set_Oimage tptp.v_F tptp.c_Arrow__Order__Mirabelle_OProf @t392 @t391) tptp.c_Arrow__Order__Mirabelle_OLin @t713)) % 0.96/1.13 (define @t728 () (or @t727 @t726)) % 0.96/1.13 (define @t729 () (not @t727)) % 0.96/1.13 (define @t730 () (not @t723)) % 0.96/1.13 (define @t731 () (or @t716 @t730 @t729)) % 0.96/1.13 (define @t732 () (not @t731)) % 0.96/1.13 (assume @p1 (forall @t7 (or @t6 @t5))) % 0.96/1.13 (assume @p2 (forall @t7 (or @t6 @t8))) % 0.96/1.13 (assume @p3 (forall @t17 (or @t6 @t16 @t14 @t11))) % 0.96/1.13 (assume @p4 (forall @t25 (or @t6 @t24 @t22 @t19))) % 0.96/1.13 (assume @p5 (forall @t7 (or @t26 @t8))) % 0.96/1.13 (assume @p6 (forall @t7 (or @t26 @t5))) % 0.96/1.13 (assume @p7 (forall @t36 (or (tptp.c_lessequals @t35 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t32 @t27) @t27) @t34 @t31))) % 0.96/1.13 (assume @p8 (forall @t38 (tptp.c_lessequals @t37 @t37 @t27))) % 0.96/1.13 (assume @p9 (forall @t40 (or @t39 (not (tptp.c_lessequals @t29 @t37 @t27))))) % 0.96/1.13 (assume @p10 (forall (@list @t41 @t2 @t42 @t1) (= (tptp.c_Fun_Ofun__upd @t41 @t2 @t43 @t42 @t1) @t41))) % 0.96/1.13 (assume @p11 (forall (@list @t41 @t2 @t3 @t1 @t42) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t41 @t2 @t3 @t1 @t42) @t2) @t3))) % 0.96/1.13 (assume @p12 (forall (@list @t41 @t2 @t1 @t44) (= (tptp.c_Fun_Ofun__upd @t41 @t2 @t43 @t1 @t44) @t41))) % 0.96/1.13 (assume @p13 (forall (@list @t41 @t2 @t3 @t44 @t1) (= (tptp.hAPP @t45 @t2) @t3))) % 0.96/1.13 (assume @p14 (forall (@list @t41 @t2 @t44 @t1) (= (tptp.c_Fun_Ofun__upd @t41 @t2 @t43 @t44 @t1) @t41))) % 0.96/1.13 (assume @p15 (forall @t48 (or (not @t47) @t46))) % 0.96/1.13 (assume @p16 (forall @t48 (or (= @t35 @t29) @t49))) % 0.96/1.13 (assume @p17 (forall @t48 (or @t47 @t50))) % 0.96/1.13 (assume @p18 (forall @t7 (or @t53 @t52 @t19))) % 0.96/1.13 (assume @p19 (forall @t7 (or @t53 (not @t52) @t18))) % 0.96/1.13 (assume @p20 (forall @t7 (or @t53 (= @t51 @t2) @t55))) % 0.96/1.13 (assume @p21 (forall @t7 (or @t26 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t51 @t1) @t2)))) % 0.96/1.13 (assume @p22 (forall @t7 (or @t57 @t56 @t19 @t55))) % 0.96/1.13 (assume @p23 (forall @t7 (or @t57 @t56 @t55 @t19))) % 0.96/1.13 (assume @p24 (forall @t48 (or @t58 @t49 @t50))) % 0.96/1.13 (assume @p25 (forall @t7 (or @t26 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t4 @t1) @t2)))) % 0.96/1.13 (assume @p26 (forall @t25 (or @t26 (tptp.c_lessequals @t61 @t60 @t1)))) % 0.96/1.13 (assume @p27 (forall @t36 (or (tptp.c_lessequals @t62 (tptp.c_HOL_Ominus__class_Ominus @t28 @t32 @t27) @t27) (not (tptp.c_lessequals @t32 @t33 @t27)) @t31))) % 0.96/1.13 (assume @p28 (forall @t64 (= (tptp.c_Fun_Ofun__upd @t63 @t2 @t20 @t1 @t44) (tptp.c_Fun_Ofun__upd @t41 @t2 @t20 @t1 @t44)))) % 0.96/1.13 (assume @p29 (forall (@list @t29 @t41 @t44 @t1 @t33) (or (tptp.c_Fun_Oinj__on @t66 @t33 @t1 @t44) (not (tptp.c_lessequals @t33 @t65 @t27))))) % 0.96/1.13 (assume @p30 (forall @t40 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t37 @t27) @t29))) % 0.96/1.13 (assume @p31 (forall @t67 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t33 @t27) @t33))) % 0.96/1.13 (assume @p32 (forall @t70 (or @t69 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t2 @t1) @t2)))) % 0.96/1.13 (assume @p33 (forall @t70 (or @t69 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t68 @t1) @t2)))) % 0.96/1.13 (assume @p34 (forall @t75 (or @t74 @t73))) % 0.96/1.13 (assume @p35 (forall @t75 (or @t74 @t78))) % 0.96/1.13 (assume @p36 (forall @t79 (or @t77 @t72 (not @t74)))) % 0.96/1.13 (assume @p37 (forall (@list @t83 @t9 @t12 @t1 @t44 @t80 @t82) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t83 @t9 @t12 @t1 @t44) @t80 @t82 @t1 @t44) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t83 @t80 @t82 @t1 @t44) @t9 @t12 @t1 @t44)) @t81))) % 0.96/1.13 (assume @p38 (forall @t90 (or @t89 @t85))) % 0.96/1.13 (assume @p39 (forall @t90 (or (not @t89) @t84))) % 0.96/1.13 (assume @p40 (forall @t96 (tptp.c_lessequals (tptp.c_Relation_OImage @t91 @t95 @t44 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t93 @t92 @t27) @t27))) % 0.96/1.13 (assume @p41 (forall (@list @t2 @t20 @t41 @t1 @t44) (or @t97 (not (tptp.c_Finite__Set_Ofold__graph @t41 @t20 @t37 @t2 @t1 @t44))))) % 0.96/1.13 (assume @p42 (forall (@list @t33 @t9 @t1) (tptp.c_lessequals @t33 @t98 @t27))) % 0.96/1.13 (assume @p43 (forall (@list @t91 @t44 @t1) (= (tptp.c_Relation_OImage @t91 @t99 @t44 @t1) @t37))) % 0.96/1.13 (assume @p44 (forall @t40 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t100 @t27) @t100))) % 0.96/1.13 (assume @p45 (forall @t67 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t100 @t33 @t27) @t100))) % 0.96/1.13 (assume @p46 (forall @t70 (or @t69 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t101 @t2 @t1) @t101)))) % 0.96/1.13 (assume @p47 (forall @t70 (or @t69 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t101 @t1) @t101)))) % 0.96/1.13 (assume @p48 (forall @t48 (tptp.c_lessequals @t88 @t29 @t27))) % 0.96/1.13 (assume @p49 (forall @t48 (tptp.c_lessequals @t88 @t33 @t27))) % 0.96/1.13 (assume @p50 (forall @t104 (or @t103 (not @t102) @t85))) % 0.96/1.13 (assume @p51 (forall @t40 (tptp.c_lessequals @t29 @t100 @t27))) % 0.96/1.13 (assume @p52 (forall @t70 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t2 @t101 @t1)))) % 0.96/1.13 (assume @p53 (forall @t107 (or @t106 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t2 @t1) @t1))))) % 0.96/1.13 (assume @p54 (forall @t25 (or @t106 (= @t61 @t60)))) % 0.96/1.13 (assume @p55 (forall @t110 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t109 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t108 @t27)))) % 0.96/1.13 (assume @p56 (forall @t113 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t109 @t29 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t112 @t111 @t27)))) % 0.96/1.13 (assume @p57 (forall (@list @t41 @t115 @t29 @t114 @t44 @t1) (= (tptp.c_Set_Oimage @t41 (tptp.c_Set_Oimage @t115 @t29 @t114 @t44) @t44 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t41 @t115 @t44 @t1 @t114) @t29 @t114 @t1)))) % 0.96/1.13 (assume @p58 (forall @t107 (or @t53 @t118 @t117))) % 0.96/1.13 (assume @p59 (forall @t119 (or @t53 @t21 @t117))) % 0.96/1.13 (assume @p60 (forall @t17 (or @t53 @t121 @t14))) % 0.96/1.13 (assume @p61 (forall @t17 (or @t53 @t121 @t11))) % 0.96/1.13 (assume @p62 (forall (@list @t1 @t12 @t2 @t9) (or @t53 @t124 @t123))) % 0.96/1.13 (assume @p63 (forall (@list @t1 @t9 @t2 @t12) (or @t53 @t125 @t123))) % 0.96/1.13 (assume @p64 (forall @t128 (or @t30 @t127))) % 0.96/1.13 (assume @p65 (forall @t113 (or @t129 @t127))) % 0.96/1.13 (assume @p66 (forall (@list @t1 @t20 @t2 @t3) (or @t57 @t130 (not (tptp.c_lessequals @t20 @t3 @t1)) @t55))) % 0.96/1.13 (assume @p67 (forall @t119 (or @t132 @t21 @t131 @t19))) % 0.96/1.13 (assume @p68 (forall (@list @t2 @t1) (tptp.c_lessequals @t2 @t2 @t27))) % 0.96/1.13 (assume @p69 (forall @t40 (tptp.c_lessequals @t29 @t29 @t27))) % 0.96/1.13 (assume @p70 (forall @t128 (or @t30 @t133 @t50))) % 0.96/1.13 (assume @p71 (forall @t137 (or @t136 @t50 @t135))) % 0.96/1.13 (assume @p72 (forall @t144 (or @t143 @t142 @t140))) % 0.96/1.13 (assume @p73 (forall @t70 (or @t57 @t145))) % 0.96/1.13 (assume @p74 (forall @t70 (or @t132 @t145))) % 0.96/1.13 (assume @p75 (forall @t144 (or @t143 @t140 @t142))) % 0.96/1.13 (assume @p76 (forall @t36 (or (tptp.c_lessequals @t88 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t32 @t27) @t27) @t34 @t31))) % 0.96/1.13 (assume @p77 (forall (@list @t1 @t41 @t29) (or @t146 (tptp.c_lessequals (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t41 @t1) @t29 @t1) (not (tptp.c_lessequals (tptp.hAPP @t41 @t29) @t29 @t1))))) % 0.96/1.13 (assume @p78 (forall (@list @t29 @t33 @t44 @t147 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t148 @t147 @t44 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t147 @t44 @t27) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t147 @t44 @t27) @t27)))) % 0.96/1.13 (assume @p79 (forall (@list @t139 @t2 @t1 @t41 @t44) (or @t141 (not (tptp.hBOOL (tptp.hAPP @t139 (tptp.hAPP @t151 @t150)))) @t149))) % 0.96/1.13 (assume @p80 (forall (@list @t41 @t2 @t3 @t44 @t1 @t20) (or (= (tptp.hAPP @t45 @t20) @t153) @t152))) % 0.96/1.13 (assume @p81 (forall @t64 (or (= (tptp.hAPP @t63 @t20) @t153) @t152))) % 0.96/1.13 (assume @p82 (forall (@list @t33 @t28 @t29 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t33 (tptp.c_HOL_Ominus__class_Ominus @t28 @t29 @t27) @t27) @t29) @t133 @t50))) % 0.96/1.13 (assume @p83 (forall @t160 (or @t159 @t158 @t156 @t55))) % 0.96/1.13 (assume @p84 (forall @t160 (or @t159 @t158 @t54 (not @t156)))) % 0.96/1.13 (assume @p85 (forall @t137 (or @t163 @t50))) % 0.96/1.13 (assume @p86 (forall (@list @t2 @t29 @t44 @t41 @t1) (or (not (tptp.c_lessequals @t2 @t29 @t94)) (tptp.c_lessequals (tptp.c_Set_Oimage @t41 @t2 @t44 @t1) @t65 @t27)))) % 0.96/1.13 (assume @p87 (forall (@list @t9 @t28 @t1 @t32) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t9 @t28 @t1) (tptp.c_Set_Oinsert @t9 @t32 @t1) @t27) (not (tptp.c_lessequals @t28 @t32 @t27))))) % 0.96/1.13 (assume @p88 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t37 @t27) @t37))) % 0.96/1.13 (assume @p89 (forall @t165 (= (tptp.c_Set_Oimage @t41 @t148 @t44 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t164 @t27)))) % 0.96/1.13 (assume @p90 (forall @t166 (or (not (tptp.class_Orderings_Olinorder @t1)) @t54 @t18))) % 0.96/1.13 (assume @p91 (forall (@list @t1 @t9 @t167 @t29) (or (tptp.hBOOL (tptp.hAPP @t170 @t174)) @t172 @t168))) % 0.96/1.13 (assume @p92 (forall (@list @t1 @t9 @t12 @t167 @t29) (or @t180 @t178 (not (tptp.c_lessequals @t176 @t174 @t27)) @t168))) % 0.96/1.13 (assume @p93 (forall (@list @t41 @t20 @t2 @t29 @t1 @t3 @t44) (or (tptp.c_Finite__Set_Ofold__graph @t41 @t20 @t184 @t183 @t1 @t44) (not (tptp.c_Finite__Set_Ofold__graph @t41 @t20 @t29 @t3 @t1 @t44)) @t182))) % 0.96/1.13 (assume @p94 (forall @t75 (or @t46 @t187 @t182))) % 0.96/1.13 (assume @p95 (forall @t188 (or @t186 @t50 @t182))) % 0.96/1.13 (assume @p96 (forall @t75 (or @t46 @t182 @t187))) % 0.96/1.13 (assume @p97 (forall @t192 (or @t191 @t190))) % 0.96/1.13 (assume @p98 (forall @t194 (or @t189 @t50 @t193))) % 0.96/1.13 (assume @p99 (forall (@list @t44 @t29 @t41 @t1 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 (tptp.hAPP @t66 @t2)) @t29)) (not (tptp.hBOOL (tptp.hAPP @t181 @t65)))))) % 0.96/1.13 (assume @p100 (forall (@list @t29 @t41 @t1 @t44 @t2 @t3) (or (not (= (tptp.hAPP @t198 @t2) (tptp.hAPP @t198 @t3))) @t56 (not @t197) (not (tptp.hBOOL (tptp.hAPP @t196 @t162)))))) % 0.96/1.13 (assume @p101 @t202) % 0.96/1.13 (assume @p102 (forall (@list @t41 @t29 @t44 @t1 @t3) (or (= (tptp.hAPP @t41 (tptp.hAPP @t66 @t3)) @t3) (not (tptp.hBOOL (tptp.hAPP @t203 @t65)))))) % 0.96/1.13 (assume @p103 (forall @t205 (or (= @t204 @t65) @t199))) % 0.96/1.13 (assume @p104 (forall @t208 (or @t207 @t206 @t168))) % 0.96/1.13 (assume @p105 (forall @t215 (or @t214 @t210 @t168))) % 0.96/1.13 (assume @p106 (forall (@list @t44 @t147 @t216 @t29 @t1) (or @t218 (tptp.c_lessequals (tptp.hAPP @t147 @t216) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t147 @t1 @t44) @t44) (not (tptp.hBOOL (tptp.hAPP @t217 @t29)))))) % 0.96/1.13 (assume @p107 (forall (@list @t33 @t9 @t29 @t1 @t44) (or (tptp.c_lessequals @t220 @t219 @t94) @t172))) % 0.96/1.13 (assume @p108 (forall (@list @t29 @t2 @t33 @t1 @t44 @t221) (or (tptp.c_lessequals @t71 @t33 @t27) (not (tptp.hBOOL (tptp.hAPP @t196 @t221))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t221 @t29 @t44 @t27) @t33 @t27))))) % 0.96/1.13 (assume @p109 (forall (@list @t29 @t222 @t221 @t1 @t44) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t29 @t222) @t223 @t94) @t223) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t222) @t221)))))) % 0.96/1.13 (assume @p110 (forall (@list @t91 @t224 @t1) (or @t229 (not @t228)))) % 0.96/1.13 (assume @p111 (forall @t230 (or @t228 (not @t229)))) % 0.96/1.13 (assume @p112 (forall (@list @t29 @t41 @t1 @t44 @t2) (or (= (tptp.hAPP @t198 @t43) @t2) @t232 @t231))) % 0.96/1.13 (assume @p113 (forall (@list @t42 @t2 @t29 @t41 @t1) (or @t234 (not (tptp.c_Fun_Oinj__on @t41 @t29 @t42 @t1)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t29 @t41 @t42 @t1) @t43) @t2)))) % 0.96/1.13 (assume @p114 (forall @t236 (or @t146 (tptp.c_lessequals @t2 @t235 @t1) @t232))) % 0.96/1.13 (assume @p115 (forall @t238 (= @t237 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t173 @t29 @t27)))) % 0.96/1.13 (assume @p116 (forall (@list @t29 @t2 @t1) (or (= @t29 @t212) @t39 (not (tptp.c_lessequals @t29 @t212 @t27))))) % 0.96/1.13 (assume @p117 (forall (@list @t44 @t29 @t1 @t33) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t99 @t29 @t44 @t27) @t33 @t27) @t33))) % 0.96/1.13 (assume @p118 (forall @t240 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t239 @t27) @t29))) % 0.96/1.13 (assume @p119 (forall (@list @t9 @t29 @t44 @t33 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t9 @t29 @t44) @t33 @t44 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t220 @t241 @t27)))) % 0.96/1.13 (assume @p120 (forall @t165 (tptp.c_lessequals (tptp.c_Set_Oimage @t41 @t95 @t44 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65 @t164 @t27) @t27))) % 0.96/1.13 (assume @p121 (forall (@list @t41 @t115 @t114 @t1 @t44) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t41 @t115 @t114 @t1 @t44) @t242 @t44 @t1) (tptp.c_Set_Oimage @t41 (tptp.c_Set_Oimage @t115 @t242 @t44 @t114) @t114 @t1)))) % 0.96/1.13 (assume @p122 (forall (@list @t29 @t33 @t41 @t114 @t1 @t44) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBB @t33 @t41 @t114 @t27 @t44) @t44 @t27) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t41 @t29 @t44 @t114) @t33 @t114 @t27)))) % 0.96/1.13 (assume @p123 (forall (@list @t41 @t29 @t114 @t44 @t33 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t41 @t29 @t114 @t44) @t33 @t44 @t27) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBB @t33 @t41 @t44 @t27 @t114) @t114 @t27)))) % 0.96/1.13 (assume @p124 (forall @t243 (or @t146 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t237 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t235 @t1))))) % 0.96/1.13 (assume @p125 (forall @t137 (or @t246 @t245 @t58))) % 0.96/1.13 (assume @p126 (forall @t249 (or (tptp.c_lessequals @t33 (tptp.c_Complete__Lattice_OSup__class_OSup @t29 @t27) @t27) @t248))) % 0.96/1.13 (assume @p127 (forall @t251 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t65 @t164 @t27) (tptp.c_Set_Oimage @t41 @t250 @t44 @t1) @t27))) % 0.96/1.13 (assume @p128 (forall @t48 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t88 @t27) @t29))) % 0.96/1.13 (assume @p129 (forall @t110 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t86 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t252 @t27)))) % 0.96/1.13 (assume @p130 (forall @t110 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t109 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t252 @t27)))) % 0.96/1.13 (assume @p131 (forall (@list @t1 @t41 @t44 @t2) (or (= (tptp.hAPP @t151 @t43) @t2) @t149))) % 0.96/1.13 (assume @p132 (forall @t255 (or @t254 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t253 @t41 @t42 @t1) @t43) @t2)))) % 0.96/1.13 (assume @p133 (forall (@list @t1 @t29 @t2) (or @t146 (tptp.c_lessequals @t256 @t2 @t1) @t232))) % 0.96/1.13 (assume @p134 (forall @t259 (tptp.c_lessequals @t258 @t29 @t27))) % 0.96/1.13 (assume @p135 (forall @t48 (or @t46 (not @t262)))) % 0.96/1.13 (assume @p136 (forall @t263 (or @t262 @t50))) % 0.96/1.13 (assume @p137 (forall (@list @t29 @t167 @t1) (or (= (tptp.c_Complete__Lattice_OSup__class_OSup @t264 @t27) @t29) @t168))) % 0.96/1.13 (assume @p138 (forall (@list @t29 @t1 @t33) (or (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf @t29 @t27) @t33 @t27) @t248))) % 0.96/1.13 (assume @p139 (forall @t215 (or @t267 @t266 @t232 @t168 @t209))) % 0.96/1.13 (assume @p140 (forall @t215 (or @t214 @t210 @t266 @t232 @t168))) % 0.96/1.13 (assume @p141 (forall @t215 (or @t267 @t168 @t209 @t266 @t232))) % 0.96/1.13 (assume @p142 (forall @t208 (or (not @t207) @t180 @t178 @t168))) % 0.96/1.13 (assume @p143 (forall (@list @t29 @t2 @t1 @t33) (or @t269 @t232 @t187))) % 0.96/1.13 (assume @p144 (forall @t188 (or @t186 @t232 @t270))) % 0.96/1.13 (assume @p145 (forall @t70 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t68 @t2 @t1)))) % 0.96/1.13 (assume @p146 (forall @t271 (tptp.c_lessequals @t37 @t29 @t27))) % 0.96/1.13 (assume @p147 (forall @t272 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t98 @t27) (tptp.c_Set_Oinsert @t9 @t35 @t1)))) % 0.96/1.13 (assume @p148 (forall @t273 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t98 @t28 @t27) (tptp.c_Set_Oinsert @t9 @t86 @t1)))) % 0.96/1.13 (assume @p149 (forall (@list @t29 @t12 @t33 @t1) (or (tptp.c_lessequals @t29 @t274 @t27) @t50))) % 0.96/1.13 (assume @p150 (forall @t75 (or @t46 @t190))) % 0.96/1.13 (assume @p151 (forall @t113 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t86 @t29 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t276 @t275 @t27)))) % 0.96/1.13 (assume @p152 (forall @t110 (= @t87 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t277 @t27)))) % 0.96/1.13 (assume @p153 (forall @t25 (or @t106 (= @t281 @t279)))) % 0.96/1.13 (assume @p154 (forall @t107 (or @t106 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t280 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t282 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t2 @t1) @t1))))) % 0.96/1.13 (assume @p155 (forall (@list @t29 @t41 @t1 @t44 @t224) (or (= (tptp.c_Set_Oimage @t198 (tptp.c_Set_Oimage @t41 @t224 @t1 @t44) @t44 @t1) @t224) (not (tptp.c_lessequals @t224 @t29 @t27)) @t231))) % 0.96/1.13 (assume @p156 (forall @t40 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t29 @t27) @t29))) % 0.96/1.13 (assume @p157 (forall @t70 (or @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t2 @t1) @t2)))) % 0.96/1.13 (assume @p158 (forall @t96 (= (tptp.c_Relation_OImage @t91 @t148 @t44 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t93 @t92 @t27)))) % 0.96/1.13 (assume @p159 (forall (@list @t139 @t138 @t44 @t1 @t114 @t91) (= (tptp.hAPP (tptp.c_COMBB @t139 @t138 @t44 @t1 @t114) @t91) (tptp.hAPP @t139 (tptp.hAPP @t138 @t91))))) % 0.96/1.13 (assume @p160 (forall @t110 (= @t283 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t108 @t27)))) % 0.96/1.13 (assume @p161 (forall @t90 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t28 @t27) @t283))) % 0.96/1.13 (assume @p162 (forall @t25 (or @t53 @t285))) % 0.96/1.13 (assume @p163 (forall @t25 (or @t53 @t286))) % 0.96/1.13 (assume @p164 (forall @t25 (or @t26 @t286))) % 0.96/1.13 (assume @p165 (forall @t25 (or @t26 @t285))) % 0.96/1.13 (assume @p166 (forall @t48 (or (= @t88 @t29) @t50))) % 0.96/1.13 (assume @p167 (forall @t48 (or (= @t88 @t33) @t49))) % 0.96/1.13 (assume @p168 (forall @t7 (or @t6 @t287 @t19))) % 0.96/1.13 (assume @p169 (forall @t7 (or @t6 (not @t287) @t18))) % 0.96/1.13 (assume @p170 (forall @t7 (or @t6 (= @t4 @t3) @t55))) % 0.96/1.13 (assume @p171 (forall @t90 (or @t126 @t133 @t31))) % 0.96/1.13 (assume @p172 (forall @t249 (tptp.c_lessequals @t33 @t35 @t27))) % 0.96/1.13 (assume @p173 (forall @t48 (tptp.c_lessequals @t29 @t35 @t27))) % 0.96/1.13 (assume @p174 (forall @t290 (or @t53 @t122 @t289 @t288))) % 0.96/1.13 (assume @p175 (forall @t7 (or @t53 @t291))) % 0.96/1.13 (assume @p176 (forall @t166 (or @t53 @t292))) % 0.96/1.13 (assume @p177 (forall @t107 (or @t53 (tptp.c_lessequals @t280 @t2 @t1) (not @t130) @t55))) % 0.96/1.13 (assume @p178 (forall @t25 (or @t53 @t116 @t131 @t22))) % 0.96/1.13 (assume @p179 (forall @t166 (or @t26 @t292))) % 0.96/1.13 (assume @p180 (forall @t7 (or @t26 @t291))) % 0.96/1.13 (assume @p181 (forall @t48 (or (= @t294 @t33) @t50))) % 0.96/1.13 (assume @p182 (forall @t208 (or (tptp.c_lessequals @t174 @t176 @t27) @t206 @t168))) % 0.96/1.13 (assume @p183 (forall @t25 (or @t26 (tptp.c_lessequals @t279 @t281 @t1)))) % 0.96/1.13 (assume @p184 (forall @t48 (tptp.c_lessequals @t62 @t29 @t27))) % 0.96/1.13 (assume @p185 (forall @t90 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t109 @t27) @t275 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t86 @t27) @t111 @t27)))) % 0.96/1.13 (assume @p186 (forall (@list @t41 @t20 @t1 @t44) (tptp.c_Finite__Set_Ofold__graph @t41 @t20 @t37 @t20 @t1 @t44))) % 0.96/1.13 (assume @p187 (forall @t251 (or (tptp.c_lessequals @t257 @t295 @t94) @t50))) % 0.96/1.13 (assume @p188 (forall @t48 (or @t296 (= @t33 @t37)))) % 0.96/1.13 (assume @p189 (forall @t48 (or @t296 @t39))) % 0.96/1.13 (assume @p190 (forall @t263 (or @t69 @t297 (= @t29 @t68)))) % 0.96/1.13 (assume @p191 (forall @t263 (or @t69 @t297 (= @t33 @t68)))) % 0.96/1.13 (assume @p192 (forall @t249 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t293 @t29 @t27) @t112))) % 0.96/1.13 (assume @p193 (forall @t48 (= @t294 @t35))) % 0.96/1.13 (assume @p194 (forall @t300 (or (tptp.c_Fun_Obij__betw @t198 @t33 @t29 @t44 @t1) @t299))) % 0.96/1.13 (assume @p195 (forall (@list @t28 @t33 @t1 @t29) (or @t102 @t301))) % 0.96/1.13 (assume @p196 (forall (@list @t28 @t29 @t1 @t33) (or @t84 @t301))) % 0.96/1.13 (assume @p197 (forall @t17 (or @t6 @t10 @t302))) % 0.96/1.13 (assume @p198 (forall (@list @t1 @t2 @t12 @t9) (or @t6 @t13 @t302))) % 0.96/1.13 (assume @p199 (forall @t290 (or @t6 @t303 @t288))) % 0.96/1.13 (assume @p200 (forall @t290 (or @t6 @t303 @t289))) % 0.96/1.13 (assume @p201 (forall @t25 (or @t6 @t18 @t304))) % 0.96/1.13 (assume @p202 (forall @t119 (or @t6 @t21 @t304))) % 0.96/1.13 (assume @p203 (forall @t90 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t28 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t252 @t305 @t27)))) % 0.96/1.13 (assume @p204 (forall @t48 (= @t35 @t112))) % 0.96/1.13 (assume @p205 (forall @t7 (or @t53 @t306))) % 0.96/1.13 (assume @p206 (forall @t7 (or @t26 @t306))) % 0.96/1.13 (assume @p207 (forall @t48 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t35 @t27) @t35))) % 0.96/1.13 (assume @p208 (forall @t7 (or @t53 @t307))) % 0.96/1.13 (assume @p209 (forall @t7 (or @t26 @t307))) % 0.96/1.13 (assume @p210 (forall @t165 (= (tptp.c_Set_Ovimage @t41 @t148 @t1 @t44) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t309 @t308 @t27)))) % 0.96/1.13 (assume @p211 (forall @t310 (or (not (= @t63 @t41)) (= @t43 @t3)))) % 0.96/1.13 (assume @p212 (forall @t311 (or @t134 @t245))) % 0.96/1.13 (assume @p213 (forall @t137 (or @t136 @t245))) % 0.96/1.13 (assume @p214 (forall @t90 (or @t313 (not @t312)))) % 0.96/1.13 (assume @p215 (forall @t110 (or @t312 (not @t313)))) % 0.96/1.13 (assume @p216 (forall (@list @t44 @t41 @t2 @t115 @t1) (or (not (tptp.class_HOL_Oord @t44)) (tptp.c_lessequals @t43 (tptp.hAPP @t115 @t2) @t44) (not (tptp.c_lessequals @t41 @t115 @t314))))) % 0.96/1.13 (assume @p217 (forall (@list @t1 @t315 @t33 @t29) (or (tptp.hBOOL (tptp.hAPP @t316 @t33)) (not (tptp.hBOOL (tptp.hAPP @t316 @t29))) @t50))) % 0.96/1.13 (assume @p218 (forall @t192 (or @t191 @t50 @t232))) % 0.96/1.13 (assume @p219 (forall @t321 (or @t320 @t319 @t50))) % 0.96/1.13 (assume @p220 (forall @t192 (or @t191 @t232 @t50))) % 0.96/1.13 (assume @p221 (forall @t323 (or @t322 @t319))) % 0.96/1.13 (assume @p222 (forall @t323 (or @t322 @t324))) % 0.96/1.13 (assume @p223 (forall @t321 (or @t320 @t318 (not @t322)))) % 0.96/1.13 (assume @p224 (forall (@list @t29 @t115 @t41 @t1 @t114 @t44) (= @t325 (tptp.c_FuncSet_Orestrict (tptp.c_COMBB @t115 @t41 @t114 @t44 @t1) @t29 @t1 @t44)))) % 0.96/1.13 (assume @p225 (forall (@list @t1 @t29 @t33 @t139 @t2) (or @t327 @t142 @t193))) % 0.96/1.13 (assume @p226 (forall (@list @t1 @t29 @t33 @t139 @t328) (or @t327 @t331 @t330))) % 0.96/1.13 (assume @p227 (forall (@list @t44 @t12 @t167 @t29 @t1 @t9) (or (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Relation_OImage @t167 @t29 @t1 @t44))) @t334 @t172))) % 0.96/1.13 (assume @p228 (forall (@list @t1 @t12 @t167 @t29 @t44 @t2) (or (tptp.hBOOL (tptp.hAPP @t177 (tptp.c_Relation_OImage @t167 @t29 @t44 @t1))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t336 (tptp.c_Pair @t2 @t12 @t44 @t1)) @t167))) @t200))) % 0.96/1.13 (assume @p229 (forall (@list @t1 @t3 @t29 @t2 @t167) (or @t265 @t210 @t168))) % 0.96/1.13 (assume @p230 (forall (@list @t1 @t2 @t29 @t3 @t167) (or @t182 @t210 @t168))) % 0.96/1.13 (assume @p231 (forall (@list @t1 @t9 @t12 @t167 @t2 @t29) (or @t180 (not (tptp.hBOOL (tptp.hAPP @t181 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t174 @t176 @t27)))) @t168))) % 0.96/1.13 (assume @p232 (forall (@list @t41 @t2 @t3 @t1 @t44 @t29) (or (tptp.c_Fun_Oinj__on @t63 @t29 @t1 @t44) @t197 @t231))) % 0.96/1.13 (assume @p233 (forall (@list @t9 @t33 @t1) (= @t98 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t338 @t33 @t27)))) % 0.96/1.13 (assume @p234 (forall @t340 (or @t146 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t339 @t1) @t120)))) % 0.96/1.13 (assume @p235 (forall @t188 (or @t186 @t50 @t270))) % 0.96/1.13 (assume @p236 (forall (@list @t29 @t28 @t1) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t343 @t29 @t27) @t37)) @t342))) % 0.96/1.13 (assume @p237 (forall @t346 (or @t345 @t133 @t31 @t344))) % 0.96/1.13 (assume @p238 (forall @t137 (or @t163 @t50 @t149))) % 0.96/1.13 (assume @p239 (forall (@list @t29 @t33 @t1 @t41 @t44) (or @t46 (not @t163) @t149))) % 0.96/1.13 (assume @p240 (forall (@list @t1 @t41 @t44 @t347) (or (= (tptp.c_Set_Oimage @t151 (tptp.c_Set_Oimage @t41 @t347 @t1 @t44) @t44 @t1) @t347) @t149))) % 0.96/1.13 (assume @p241 (forall (@list @t1 @t41 @t44 @t29) (or (= (tptp.c_Set_Oimage @t151 @t162 @t44 @t1) @t29) @t149))) % 0.96/1.13 (assume @p242 (forall @t346 (or @t349 @t133 @t31 @t344))) % 0.96/1.13 (assume @p243 (forall @t352 (= (tptp.c_Set_Ovimage @t41 @t351 @t1 @t44) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t41 @t350 @t1 @t44) @t308 @t27)))) % 0.96/1.13 (assume @p244 (forall (@list @t41 @t29 @t9 @t1) (or (= (tptp.c_Finite__Set_Osetsum @t41 @t353 @t1 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t41 @t29 @t1 tptp.tc_nat)) @t171))) % 0.96/1.13 (assume @p245 (forall (@list @t41 @t20 @t29 @t2 @t3 @t1 @t44) (or (tptp.c_Finite__Set_Ofold__graph @t41 @t20 @t29 @t183 @t1 @t44) @t232 (not (tptp.c_Finite__Set_Ofold__graph @t41 @t20 @t268 @t3 @t1 @t44))))) % 0.96/1.13 (assume @p246 (forall @t255 (or @t254 @t356 (= @t43 (tptp.hAPP @t41 @t354))))) % 0.96/1.13 (assume @p247 (forall (@list @t139 @t2 @t44 @t41 @t1) (or @t141 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 @t150) @t357)) @t149))) % 0.96/1.13 (assume @p248 (forall (@list @t41 @t2 @t1 @t42) (or (not (= @t354 @t2)) @t254 @t356))) % 0.96/1.13 (assume @p249 (forall (@list @t12 @t41 @t44 @t1) (or (= @t12 (tptp.hAPP @t41 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t12 @t41 @t44 @t1))) (not (tptp.hBOOL (tptp.hAPP @t335 @t357))) @t149))) % 0.96/1.13 (assume @p250 (forall (@list @t1 @t41 @t3 @t42) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t358) @t355))) @t254 (= @t3 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t358 @t41 @t1 @t42))))) % 0.96/1.13 (assume @p251 (forall (@list @t28 @t1 @t29) (or @t342 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t343) @t28))))) % 0.96/1.13 (assume @p252 (forall (@list @t41 @t33 @t1 @t44) (= @t308 (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t195 @t41 @t44 (tptp.tc_fun @t94 tptp.tc_bool) @t1) @t1 @t94 tptp.tc_bool) @t33) @t1)))) % 0.96/1.13 (assume @p253 (forall (@list @t347 @t361 @t1 @t29 @t167) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t347 @t361 @t27) @t37) @t363 @t362 @t360 @t168))) % 0.96/1.13 (assume @p254 (forall @t311 (or (tptp.c_lessequals @t308 @t29 @t27) (not (tptp.c_lessequals @t33 @t162 @t94)) @t149))) % 0.96/1.13 (assume @p255 (forall @t137 (or (tptp.c_lessequals @t162 @t33 @t94) @t368))) % 0.96/1.13 (assume @p256 (forall @t374 (or @t373 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 (tptp.hAPP @t41 @t369)) (tptp.hAPP @t33 @t369))))))) % 0.96/1.13 (assume @p257 (forall @t374 (or @t373 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t369) @t29))))) % 0.96/1.13 (assume @p258 (forall @t259 (= (tptp.c_FuncSet_Ocompose @t65 @t41 @t376 @t1 @t44 @t1) (tptp.c_FuncSet_Orestrict @t375 @t65 @t1 @t1)))) % 0.96/1.13 (assume @p259 (forall @t300 (or (= (tptp.c_FuncSet_Ocompose @t29 (tptp.c_FuncSet_Orestrict @t198 @t33 @t44 @t1) @t41 @t1 @t44 @t1) @t377) @t299))) % 0.96/1.13 (assume @p260 (forall (@list @t44 @t1 @t9 @t12 @t167) (or @t379 (not @t378)))) % 0.96/1.13 (assume @p261 (forall (@list @t1 @t12 @t167 @t9 @t44) (or @t378 (not @t379)))) % 0.96/1.13 (assume @p262 (forall @t205 (or (= @t204 (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oimage @t41 (tptp.c_HOL_Ominus__class_Ominus @t29 (tptp.c_Set_Oinsert @t2 @t99 @t44) @t94) @t44 @t1) @t1)) @t200))) % 0.96/1.13 (assume @p263 (forall (@list @t1 @t3 @t2 @t328 @t29 @t167) (or (not (tptp.hBOOL (tptp.hAPP @t203 @t2))) (not (tptp.hBOOL (tptp.hAPP @t329 @t2))) @t381 @t381 @t168 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.c_Pair @t328 @t3 @t1 @t1)) @t167))))) % 0.96/1.13 (assume @p264 (forall (@list @t347 @t361 @t1 @t2 @t3 @t167 @t29) (or @t363 @t210 (not (tptp.hBOOL (tptp.hAPP @t203 @t361))) (not (tptp.hBOOL (tptp.hAPP @t181 @t347))) @t362 @t360 @t168))) % 0.96/1.13 (assume @p265 (forall (@list @t1 @t167 @t2 @t29) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t213) @t264)) @t232))) % 0.96/1.13 (assume @p266 (forall @t383 (or @t382 @t245))) % 0.96/1.13 (assume @p267 (forall @t383 (or (not @t382) @t135 @t231 @t244))) % 0.96/1.13 (assume @p268 (forall (@list @t1 @t44 @t29 @t41) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 @t376) (tptp.c_FuncSet_OPi @t65 (tptp.c_COMBK @t29 @t94 @t1) @t1 @t44))))) % 0.96/1.13 (assume @p269 (forall @t407 (or @t406 @t404 @t402 @t400 @t396 @t394 @t389 @t388 @t387 @t384))) % 0.96/1.13 (assume @p270 (forall @t407 (or @t406 @t404 (not @t402) (not @t400) @t396 @t394 @t389 @t388 @t387 @t384))) % 0.96/1.13 (assume @p271 (forall @t407 (or @t406 @t404 @t410 @t409 @t396 @t394 @t389 @t388 @t387 @t384))) % 0.96/1.13 (assume @p272 (forall @t412 (or @t403 @t411 @t410 @t409 @t396 @t394 @t389 @t388 @t387 @t384))) % 0.96/1.14 (assume @p273 (forall @t407 (or @t406 @t404 @t414 @t413 @t396 @t394 @t389 @t388 @t387 @t384))) % 0.96/1.14 (assume @p274 (forall @t412 (or @t403 @t411 @t414 @t413 @t396 @t394 @t389 @t388 @t387 @t384))) % 0.96/1.14 (assume @p275 (forall @t407 (or @t406 @t404 @t417 @t416 @t396 @t394 @t387 @t384))) % 0.96/1.14 (assume @p276 (forall @t412 (or @t403 @t411 @t417 @t416 @t396 @t394 @t387 @t384))) % 0.96/1.14 (assume @p277 (forall @t407 (or @t406 @t404 @t419 @t418 @t396 @t394 @t387 @t384))) % 0.96/1.14 (assume @p278 (forall @t412 (or @t403 @t411 @t419 @t418 @t396 @t394 @t387 @t384))) % 0.96/1.14 (assume @p279 (forall @t425 (or @t424 @t404 @t423 @t421 @t396 @t394 @t384))) % 0.96/1.14 (assume @p280 (forall @t427 (or @t403 @t426 @t423 @t421 @t396 @t394 @t384))) % 0.96/1.14 (assume @p281 (forall @t425 (or @t424 @t404 @t429 @t428 @t396 @t394 @t384))) % 0.96/1.14 (assume @p282 (forall @t427 (or @t403 @t426 @t429 @t428 @t396 @t394 @t384))) % 0.96/1.14 (assume @p283 (forall @t436 (or @t435 @t404 @t434 @t432 @t396 @t394 @t81 @t430 @t384))) % 0.96/1.14 (assume @p284 (forall @t438 (or @t403 @t437 @t434 @t432 @t396 @t394 @t81 @t430 @t384))) % 0.96/1.14 (assume @p285 (forall @t436 (or @t435 @t404 @t440 @t439 @t396 @t394 @t81 @t430 @t384))) % 0.96/1.14 (assume @p286 (forall @t438 (or @t403 @t437 @t440 @t439 @t396 @t394 @t81 @t430 @t384))) % 0.96/1.14 (assume @p287 (forall @t451 (or @t450 @t449 @t447 @t446 @t444 @t443 @t442))) % 0.96/1.14 (assume @p288 (forall @t453 (or @t448 @t452 @t447 @t446 @t444 @t443 @t442))) % 0.96/1.14 (assume @p289 (forall @t451 (or @t450 @t449 @t455 @t454 @t444 @t443 @t442))) % 0.96/1.14 (assume @p290 (forall @t453 (or @t448 @t452 @t455 @t454 @t444 @t443 @t442))) % 0.96/1.14 (assume @p291 (forall (@list @t9 @t12 @t441 @t2) (or @t448 (not (tptp.hBOOL (tptp.hAPP @t399 (tptp.hAPP @t2 (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 @t9 @t12 @t2))))) @t443 (not (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t441))))) % 0.96/1.14 (assume @p292 (forall @t457 (or (not @t456) @t266 @t232 @t168 @t209))) % 0.96/1.14 (assume @p293 (forall @t457 (or @t456 @t210 @t266 @t232 @t168))) % 0.96/1.14 (assume @p294 (forall (@list @t347 @t167 @t29 @t1) (or (= @t347 (tptp.c_Relation_OImage @t167 (tptp.c_Set_Oinsert @t458 @t37 @t1) @t1 @t1)) @t360))) % 0.96/1.14 (assume @p295 (forall (@list @t2 @t3 @t29 @t1) (= (tptp.c_Set_Oinsert @t2 @t459 @t1) (tptp.c_Set_Oinsert @t3 @t184 @t1)))) % 0.96/1.14 (assume @p296 (forall @t466 (or @t465 @t464 @t97 @t460))) % 0.96/1.14 (assume @p297 (forall @t466 (or @t465 @t464 @t56 @t460))) % 0.96/1.14 (assume @p298 (forall (@list @t1 @t9 @t29 @t44 @t12 @t33) (or @t171 @t468))) % 0.96/1.14 (assume @p299 (forall (@list @t44 @t12 @t33 @t9 @t1 @t29) (or @t469 @t468))) % 0.96/1.14 (assume @p300 (forall @t474 (or (tptp.hBOOL (tptp.hAPP @t470 @t473)) @t472))) % 0.96/1.14 (assume @p301 (forall @t383 (or @t298 (not @t475)))) % 0.96/1.14 (assume @p302 (forall @t137 (or @t475 @t299))) % 0.96/1.14 (assume @p303 (forall (@list @t41 @t9 @t29 @t1 @t44) (or @t479 @t478 @t231))) % 0.96/1.14 (assume @p304 (forall (@list @t29 @t44 @t33 @t41 @t1) (or (= (tptp.c_FuncSet_Ocompose @t29 (tptp.c_FuncSet_Orestrict (tptp.c_COMBI @t44) @t33 @t44 @t44) @t41 @t1 @t44 @t44) @t41) @t481 @t368))) % 0.96/1.14 (assume @p305 (forall (@list @t29 @t115 @t1 @t44 @t33) (or (= (tptp.c_FuncSet_Ocompose @t29 @t115 @t377 @t1 @t1 @t44) @t115) @t483 (not (tptp.hBOOL (tptp.hAPP @t482 @t364)))))) % 0.96/1.14 (assume @p306 (forall (@list @t139 @t2 @t1 @t29) (or @t141 @t486))) % 0.96/1.14 (assume @p307 (forall @t48 (or @t487 (= @t62 @t29)))) % 0.96/1.14 (assume @p308 (forall (@list @t12 @t9 @t1) (or (= @t12 @t9) (not (tptp.hBOOL (tptp.hAPP @t177 @t173)))))) % 0.96/1.14 (assume @p309 (forall @t474 (or @t489 (not (tptp.hBOOL (tptp.hAPP @t470 @t488)))))) % 0.96/1.14 (assume @p310 (forall (@list @t80 @t44 @t1 @t29 @t2) (or (= (tptp.c_Set_Oimage @t490 @t29 @t1 @t44) (tptp.c_Set_Oinsert @t80 @t99 @t44)) @t232))) % 0.96/1.14 (assume @p311 (forall (@list @t41 @t29 @t1 @t44 @t9) (or @t136 @t491))) % 0.96/1.14 (assume @p312 (forall @t194 (or (= @t492 @t62) @t193))) % 0.96/1.14 (assume @p313 (forall @t493 (= (tptp.c_Set_Oimage @t375 @t361 @t1 @t1) @t361))) % 0.96/1.14 (assume @p314 (forall (@list @t500 @t1 @t494 @t501 @t499 @t498 @t497 @t496 @t495) (or (= (tptp.hAPP @t500 @t100) @t494) @t502))) % 0.96/1.14 (assume @p315 (forall (@list @t501 @t1 @t495 @t500 @t499 @t498 @t497 @t496 @t494) (or (= (tptp.hAPP @t501 @t100) @t495) @t502))) % 0.96/1.14 (assume @p316 (forall @t505 (not (tptp.hBOOL (tptp.hAPP @t504 @t503))))) % 0.96/1.14 (assume @p317 (forall @t507 (not (tptp.hBOOL (tptp.hAPP @t506 @t503))))) % 0.96/1.14 (assume @p318 (forall @t383 (or (tptp.c_Fun_Oinj__on @t41 @t62 @t1 @t44) @t231))) % 0.96/1.14 (assume @p319 (forall (@list @t1 @t41 @t29 @t44) (or (not (= @t37 @t65)) @t508))) % 0.96/1.14 (assume @p320 (forall @t243 (or @t146 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t237 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t256 @t1))))) % 0.96/1.14 (assume @p321 (forall @t165 (= (tptp.c_Set_Ovimage @t41 @t250 @t1 @t44) (tptp.c_HOL_Ominus__class_Ominus @t309 @t308 @t27)))) % 0.96/1.14 (assume @p322 (forall @t509 (or (= (tptp.c_Set_Ovimage @t41 @t162 @t1 @t44) @t29) @t149))) % 0.96/1.14 (assume @p323 (forall (@list @t139 @t1) (= @t484 @t139))) % 0.96/1.14 (assume @p324 (forall @t510 (= (tptp.c_Set_Ovimage @t41 @t242 @t1 @t44) @t100))) % 0.96/1.14 (assume @p325 (forall @t272 (= @t511 (tptp.c_HOL_Ominus__class_Ominus @t62 @t173 @t27)))) % 0.96/1.14 (assume @p326 (forall @t272 (= @t511 (tptp.c_HOL_Ominus__class_Ominus @t353 @t33 @t27)))) % 0.96/1.14 (assume @p327 (forall @t238 (not (= @t237 @t37)))) % 0.96/1.14 (assume @p328 (forall @t271 (tptp.c_Fun_Oinj__on @t375 @t29 @t1 @t1))) % 0.96/1.14 (assume @p329 (forall (@list @t42 @t9 @t41 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t233 @t9) (tptp.c_Set_Ovimage @t41 (tptp.c_Set_Oinsert @t476 @t37 @t1) @t42 @t1))))) % 0.96/1.14 (assume @p330 (forall (@list @t9 @t29 @t1 @t33) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t237 @t98 @t27) @t512))) % 0.96/1.14 (assume @p331 (forall @t513 (= (tptp.c_Set_Oinsert @t2 @t184 @t1) @t184))) % 0.96/1.14 (assume @p332 (forall (@list @t29 @t2 @t3 @t1) (or @t72 @t515 (not @t514)))) % 0.96/1.14 (assume @p333 (forall (@list @t29 @t33 @t44 @t1 @t2) (or (not (= @t241 @t37)) @t516 @t200))) % 0.96/1.14 (assume @p334 (forall @t70 (or @t69 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t68 @t1) @t68)))) % 0.96/1.14 (assume @p335 (forall @t70 (or @t69 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t68 @t2 @t1) @t68)))) % 0.96/1.14 (assume @p336 (forall @t67 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t33 @t27) @t37))) % 0.96/1.14 (assume @p337 (forall @t40 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t37 @t27) @t37))) % 0.96/1.14 (assume @p338 (forall @t383 (or @t345 @t149))) % 0.96/1.14 (assume @p339 (forall (@list @t500 @t9 @t12 @t1 @t496 @t501 @t499 @t498 @t497 @t495 @t494) (or (= (tptp.hAPP @t500 @t339) (tptp.hAPP @t517 @t12)) @t502))) % 0.96/1.14 (assume @p340 (forall (@list @t501 @t9 @t12 @t1 @t497 @t500 @t499 @t498 @t496 @t495 @t494) (or (= (tptp.hAPP @t501 @t339) (tptp.hAPP @t518 @t12)) @t502))) % 0.96/1.14 (assume @p341 (forall @t38 (or @t146 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t37 @t1) @t68)))) % 0.96/1.14 (assume @p342 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t37 @t27) @t29))) % 0.96/1.14 (assume @p343 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t29 @t27) @t37))) % 0.96/1.14 (assume @p344 (forall @t240 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t239 @t27) @t29))) % 0.96/1.14 (assume @p345 (forall (@list @t139 @t44 @t114 @t1 @t138 @t91) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t139 @t44 @t114 @t1) @t138) @t91) (tptp.hAPP (tptp.hAPP @t139 @t91) @t138)))) % 0.96/1.14 (assume @p346 (forall (@list @t1 @t139) (= (tptp.hAPP @t375 @t139) @t139))) % 0.96/1.14 (assume @p347 (forall @t48 (= (tptp.c_HOL_Ominus__class_Ominus @t62 @t33 @t27) @t62))) % 0.96/1.14 (assume @p348 (forall (@list @t1 @t41 @t2 @t44) (tptp.hBOOL (tptp.hAPP @t201 @t519)))) % 0.96/1.14 (assume @p349 (forall (@list @t328 @t2 @t1) (= (tptp.c_Set_Oinsert @t328 @t212 @t1) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t328 @t37 @t1) @t1)))) % 0.96/1.14 (assume @p350 (forall (@list @t1 @t328 @t3 @t2) (or @t521 (not (= (tptp.c_HOL_Ominus__class_Ominus @t328 @t3 @t1) @t520)) (= @t328 @t3)))) % 0.96/1.14 (assume @p351 (forall (@list @t1 @t2 @t154 @t155) (or @t521 (not (= @t520 @t157)) (= @t154 @t155)))) % 0.96/1.14 (assume @p352 (forall @t510 (= @t522 @t37))) % 0.96/1.14 (assume @p353 (forall (@list @t41 @t1 @t44) (tptp.c_Fun_Oinj__on @t41 @t37 @t1 @t44))) % 0.96/1.14 (assume @p354 (forall @t48 (= @t88 @t276))) % 0.96/1.14 (assume @p355 (forall @t7 (or @t6 @t523))) % 0.96/1.14 (assume @p356 (forall @t7 (or @t26 @t523))) % 0.96/1.14 (assume @p357 (forall (@list @t500 @t501 @t499 @t1 @t498 @t496 @t497 @t494 @t495) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t500 @t501 (tptp.c_COMBC @t499 @t1 @t1 tptp.tc_bool) (tptp.c_COMBC @t498 @t1 @t1 tptp.tc_bool) @t496 @t497 @t494 @t495 @t1) @t502))) % 0.96/1.14 (assume @p358 (forall @t238 (= @t524 @t237))) % 0.96/1.14 (assume @p359 (forall (@list @t9 @t1 @t12) (or (not (= @t173 @t175)) @t384))) % 0.96/1.14 (assume @p360 (forall @t505 (or @t526 @t526 (tptp.hBOOL (tptp.hAPP @t504 @t525))))) % 0.96/1.14 (assume @p361 (forall (@list @t80 @t1 @t44) (= (tptp.c_Set_Oimage @t527 @t99 @t44 @t1) @t37))) % 0.96/1.14 (assume @p362 (forall (@list @t2 @t328 @t1) (or (not (= (tptp.c_Set_Oinsert @t2 @t328 @t1) @t37)) (tptp.hBOOL (tptp.hAPP @t181 @t328))))) % 0.96/1.14 (assume @p363 (forall @t383 (or @t349 @t149))) % 0.96/1.14 (assume @p364 (forall (@list @t29 @t80 @t1 @t44) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t528 @t44 @t27) @t80) @t508))) % 0.96/1.14 (assume @p365 (forall (@list @t44 @t29 @t147 @t1) (or @t218 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBK @t147 @t44 @t1) @t1 @t44) @t147) @t39))) % 0.96/1.14 (assume @p366 (forall (@list @t3 @t29 @t1 @t2) (or @t514 @t73))) % 0.96/1.14 (assume @p367 (forall (@list @t41 @t2 @t29 @t1 @t44) (or (= (tptp.c_Set_Oinsert @t43 @t162 @t44) @t162) @t232))) % 0.96/1.14 (assume @p368 (forall @t272 (or (= @t529 @t88) @t171))) % 0.96/1.14 (assume @p369 (forall @t273 (or (= @t531 @t109) @t530))) % 0.96/1.14 (assume @p370 (forall (@list @t44 @t80 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t99 @t528 @t44 @t27) @t37))) % 0.96/1.14 (assume @p371 (forall @t466 (or @t463 @t97 (not @t465)))) % 0.96/1.14 (assume @p372 (forall (@list @t1 @t41 @t44) (= @t37 @t522))) % 0.96/1.14 (assume @p373 (forall @t48 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t293 @t27) @t37))) % 0.96/1.14 (assume @p374 (forall @t532 (or @t146 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t173 @t1) @t9)))) % 0.96/1.14 (assume @p375 (forall @t533 (or @t182 @t486))) % 0.96/1.14 (assume @p376 (forall @t535 (or (tptp.hBOOL (tptp.hAPP @t399 @t534)) @t384))) % 0.96/1.14 (assume @p377 (forall @t536 (or (not @t478) @t491))) % 0.96/1.14 (assume @p378 (forall (@list @t28 @t1 @t29 @t2) (or (not @t342) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t29 @t27) @t37) (not (tptp.hBOOL (tptp.hAPP @t380 @t28)))))) % 0.96/1.14 (assume @p379 (forall @t194 (or (= @t492 (tptp.c_Set_Oinsert @t2 @t62 @t1)) @t191))) % 0.96/1.14 (assume @p380 (forall @t79 (or @t77 @t538))) % 0.96/1.14 (assume @p381 (forall @t188 (or @t72 @t538))) % 0.96/1.14 (assume @p382 (forall @t38 (or @t146 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t100 @t1) @t101)))) % 0.96/1.14 (assume @p383 (forall @t513 (or (= (tptp.c_HOL_Ominus__class_Ominus @t184 @t212 @t27) @t29) @t182))) % 0.96/1.14 (assume @p384 (forall @t137 (or @t136 @t299))) % 0.96/1.14 (assume @p385 (forall @t165 (= (tptp.c_Set_Ovimage @t41 @t95 @t1 @t44) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t309 @t308 @t27)))) % 0.96/1.14 (assume @p386 (forall @t340 (or @t146 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t339 @t1) @t15)))) % 0.96/1.14 (assume @p387 (forall @t543 (or (not (tptp.hBOOL (tptp.hAPP @t506 @t542))) @t541 @t384))) % 0.96/1.14 (assume @p388 (forall @t549 (or @t548 @t526 @t526 @t541 @t546 @t545))) % 0.96/1.14 (assume @p389 (forall (@list @t2 @t12 @t3 @t461) (or @t551 @t56 @t541 @t551 @t550 @t464))) % 0.96/1.14 (assume @p390 (forall (@list @t2 @t3 @t461 @t12 @t9) (or @t463 @t553 @t551 (not @t552) @t541 @t384))) % 0.96/1.14 (assume @p391 (forall @t554 (or @t526 (not @t545) @t541 @t546 @t547 (= @t328 @t9)))) % 0.96/1.14 (assume @p392 (forall (@list @t2 @t3 @t461 @t9) (or (not @t556) @t541 @t546 @t555))) % 0.96/1.14 (assume @p393 (forall @t562 (or @t561 @t559 @t56 @t541 @t551 @t558))) % 0.96/1.14 (assume @p394 (forall @t554 (or @t563 @t526 @t541 @t546 @t564 @t563))) % 0.96/1.14 (assume @p395 (forall @t568 (or @t567 @t464 @t565 @t559 @t56 @t541 @t384))) % 0.96/1.14 (assume @p396 (forall @t568 (or @t567 @t464 @t561 @t569 @t56 @t541 @t384))) % 0.96/1.14 (assume @p397 (forall @t505 (or @t526 @t572 @t541 @t572 @t571))) % 0.96/1.14 (assume @p398 (forall @t568 (or @t552 @t464 @t574 @t573 @t56 @t541 @t384))) % 0.96/1.14 (assume @p399 (forall @t505 (or @t563 @t526 @t541 @t526 @t575))) % 0.96/1.14 (assume @p400 (forall (@list @t9 @t3 @t461 @t2) (or @t573 @t56 @t541 @t546 @t556))) % 0.96/1.14 (assume @p401 (forall @t568 (or @t552 @t464 @t553 @t551 @t56 @t541 @t384))) % 0.96/1.14 (assume @p402 (forall @t543 (or (not (tptp.hBOOL (tptp.hAPP @t506 @t566))) @t541 @t384))) % 0.96/1.14 (assume @p403 (forall @t562 (or @t561 @t515 @t56 @t541 @t551 @t558))) % 0.96/1.14 (assume @p404 (forall (@list @t2 @t9 @t328 @t461) (or @t565 @t526 @t541 @t546 @t564 @t563))) % 0.96/1.14 (assume @p405 (forall @t568 (or @t463 @t565 @t569 (not @t567) @t541 @t384))) % 0.96/1.14 (assume @p406 (forall (@list @t3 @t2 @t461 @t12) (or @t515 (not @t558) @t541 @t551 @t560 @t553))) % 0.96/1.14 (assume @p407 (forall (@list @t328 @t2 @t461 @t12) (or (not @t577) @t541 @t551 @t576))) % 0.96/1.14 (assume @p408 (forall @t549 (or @t548 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Pair @t9 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t461))) @t526 @t541 @t546 @t545))) % 0.96/1.14 (assume @p409 (forall (@list @t2 @t3 @t461 @t12) (or @t464 @t56 @t541 @t551 @t550 @t464))) % 0.96/1.14 (assume @p410 (forall @t568 (or @t552 @t464 @t553 @t573 @t56 @t541 @t384))) % 0.96/1.14 (assume @p411 (forall @t568 (or @t552 @t464 @t574 @t551 @t56 @t541 @t384))) % 0.96/1.14 (assume @p412 (forall @t505 (or @t526 @t526 @t541 @t526 @t575))) % 0.96/1.14 (assume @p413 (forall @t568 (or @t567 @t464 @t561 @t559 @t56 @t541 @t384))) % 0.96/1.14 (assume @p414 (forall (@list @t2 @t328 @t461) (or (not (tptp.hBOOL (tptp.hAPP @t570 @t461))) @t572 @t541 @t572 @t571))) % 0.96/1.14 (assume @p415 (forall (@list @t328 @t12 @t461 @t2) (or (not @t576) @t526 @t541 @t551 @t577))) % 0.96/1.14 (assume @p416 (forall @t568 (or @t567 @t464 @t565 @t569 @t56 @t541 @t384))) % 0.96/1.14 (assume @p417 (forall (@list @t139 @t29 @t1 @t9 @t2) (or @t579 @t172 @t142 @t232))) % 0.96/1.14 (assume @p418 (forall @t323 (or @t580 @t324 @t319))) % 0.96/1.14 (assume @p419 (forall (@list @t1 @t216 @t499 @t498 @t581 @t584) (or @t588 @t587 @t583))) % 0.96/1.14 (assume @p420 (forall (@list @t1 @t9 @t12 @t29) (or @t589 @t172))) % 0.96/1.14 (assume @p421 (forall (@list @t1 @t9 @t12 @t33) (or (tptp.hBOOL (tptp.hAPP @t170 @t274)) (not (tptp.hBOOL (tptp.hAPP @t170 @t33)))))) % 0.96/1.14 (assume @p422 (forall @t592 (or (= @t591 @t43) @t200))) % 0.96/1.14 (assume @p423 (forall (@list @t1 @t216 @t499 @t581 @t584) (or @t595 (not @t594) @t583))) % 0.96/1.14 (assume @p424 (forall (@list @t1 @t29 @t139 @t9) (or @t598 @t172 @t597))) % 0.96/1.14 (assume @p425 (forall @t70 @t599)) % 0.96/1.14 (assume @p426 (forall @t600 (or @t141 @t599))) % 0.96/1.14 (assume @p427 (forall (@list @t1 @t80) (not (tptp.hBOOL (tptp.hAPP @t317 @t37))))) % 0.96/1.14 (assume @p428 (forall @t532 (not (tptp.hBOOL (tptp.hAPP @t170 @t37))))) % 0.96/1.14 (assume @p429 (forall (@list @t1 @t216 @t498 @t581 @t584) (or @t602 @t587 (not @t601)))) % 0.96/1.14 (assume @p430 (forall (@list @t1 @t9 @t29 @t12) (or @t171 @t384 (not @t589)))) % 0.96/1.14 (assume @p431 (forall (@list @t29 @t115 @t41 @t1 @t114 @t44 @t2) (or (= (tptp.hAPP @t325 @t2) (tptp.hAPP @t115 @t43)) @t232))) % 0.96/1.14 (assume @p432 (forall @t70 (tptp.hBOOL (tptp.hAPP @t181 @t100)))) % 0.96/1.14 (assume @p433 (forall @t321 (or @t324 @t604))) % 0.96/1.14 (assume @p434 (forall @t323 (or @t318 @t604))) % 0.96/1.14 (assume @p435 (forall (@list @t1 @t29 @t139 @t9 @t2) (or @t598 @t172 @t142 @t232))) % 0.96/1.14 (assume @p436 (forall @t606 (or (tptp.hBOOL (tptp.hAPP @t139 @t605)) @t232 @t142))) % 0.96/1.14 (assume @p437 (forall @t606 (or (tptp.hBOOL (tptp.hAPP @t139 @t607)) @t142 @t232))) % 0.96/1.14 (assume @p438 (forall @t236 (tptp.hBOOL (tptp.hAPP @t181 @t184)))) % 0.96/1.14 (assume @p439 (forall (@list @t1 @t9 @t33) (tptp.hBOOL (tptp.hAPP @t170 @t98)))) % 0.96/1.14 (assume @p440 (forall (@list @t1 @t2 @t33) (tptp.hBOOL (tptp.hAPP @t181 @t185)))) % 0.96/1.14 (assume @p441 (forall (@list @t138 @t611 @t1 @t29 @t139) (or (tptp.hBOOL (tptp.hAPP @t138 @t611)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t611) @t29))) @t610 @t609))) % 0.96/1.14 (assume @p442 (forall (@list @t139 @t612 @t1 @t29 @t138) (or (tptp.hBOOL (tptp.hAPP @t139 @t612)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t612) @t29))) @t610 @t609))) % 0.96/1.14 (assume @p443 (forall (@list @t1 @t9 @t29 @t44 @t41) (or @t171 (not @t613) @t149))) % 0.96/1.14 (assume @p444 (forall @t536 (or @t613 @t172 @t149))) % 0.96/1.14 (assume @p445 (forall @t310 (or @t614 @t149 @t56))) % 0.96/1.14 (assume @p446 (forall @t615 (or @t56 @t515 (tptp.hBOOL (tptp.hAPP @t462 @t503))))) % 0.96/1.14 (assume @p447 (forall @t493 (= (tptp.c_Set_Ovimage @t375 @t361 @t1 @t1) @t361))) % 0.96/1.14 (assume @p448 (forall (@list @t167 @t1 @t44) (= (tptp.c_Relation_Oconverse @t616 @t44 @t1) @t167))) % 0.96/1.14 (assume @p449 (forall @t25 (or @t26 @t618))) % 0.96/1.14 (assume @p450 (forall @t25 (or @t26 @t619))) % 0.96/1.14 (assume @p451 (forall @t25 (or @t6 @t619))) % 0.96/1.14 (assume @p452 (forall @t25 (or @t6 @t618))) % 0.96/1.14 (assume @p453 (forall @t90 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t88 @t28 @t27) @t620))) % 0.96/1.14 (assume @p454 (forall @t110 (= @t620 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t277 @t27)))) % 0.96/1.14 (assume @p455 (forall @t592 (or (= @t591 (tptp.c_HOL_Oundefined @t1)) @t199))) % 0.96/1.14 (assume @p456 (forall (@list @t1 @t29 @t33 @t44 @t2) (or (not (= @t37 @t241)) @t516 @t200))) % 0.96/1.14 (assume @p457 (forall @t271 (= (tptp.c_HOL_Ominus__class_Ominus @t37 @t29 @t27) @t37))) % 0.96/1.14 (assume @p458 (forall @t509 (or @t231 (tptp.c_Fun_Obij__betw @t41 @t29 @t162 @t1 @t44)))) % 0.96/1.14 (assume @p459 (forall @t137 (or @t246 @t149 @t58))) % 0.96/1.14 (assume @p460 (forall @t263 (or @t69 @t621 (= @t33 @t101)))) % 0.96/1.14 (assume @p461 (forall @t263 (or @t69 @t621 (= @t29 @t101)))) % 0.96/1.14 (assume @p462 (forall @t70 (not (tptp.hBOOL (tptp.hAPP @t37 @t2))))) % 0.96/1.14 (assume @p463 (forall @t104 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t62 @t27) (tptp.c_HOL_Ominus__class_Ominus @t275 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t33 @t27) @t27)))) % 0.96/1.14 (assume @p464 (forall @t90 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t28 @t27) @t622))) % 0.96/1.14 (assume @p465 (forall (@list @t80 @t1 @t44 @t29) (or (= (tptp.c_Set_Oimage @t527 @t29 @t44 @t1) (tptp.c_Set_Oinsert @t80 @t37 @t1)) @t508))) % 0.96/1.14 (assume @p466 (forall @t38 (not (= @t100 @t37)))) % 0.96/1.14 (assume @p467 (forall @t192 (or @t193 @t232 @t487))) % 0.96/1.14 (assume @p468 (forall @t70 (or @t69 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t101 @t1) @t2)))) % 0.96/1.14 (assume @p469 (forall @t70 (or @t69 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t101 @t2 @t1) @t2)))) % 0.96/1.14 (assume @p470 (forall @t67 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t100 @t33 @t27) @t33))) % 0.96/1.14 (assume @p471 (forall @t40 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t100 @t27) @t29))) % 0.96/1.14 (assume @p472 (forall @t259 (= @t258 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t519 @t27)))) % 0.96/1.14 (assume @p473 (forall @t259 (= (tptp.c_Set_Oimage @t590 @t29 @t44 @t1) @t65))) % 0.96/1.14 (assume @p474 (forall (@list @t29 @t115 @t41 @t1 @t44 @t114 @t28 @t33) (or (tptp.c_Fun_Obij__betw @t623 @t29 @t28 @t1 @t114) (not (tptp.c_Fun_Obij__betw @t115 @t33 @t28 @t44 @t114)) @t299))) % 0.96/1.14 (assume @p475 (forall @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t37) @t260)))) % 0.96/1.14 (assume @p476 (forall @t128 (= @t622 (tptp.c_HOL_Ominus__class_Ominus @t277 @t33 @t27)))) % 0.96/1.14 (assume @p477 (forall @t38 (or @t146 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t100 @t1) @t68)))) % 0.96/1.14 (assume @p478 (forall (@list @t1 @t44 @t41 @t29) (tptp.hBOOL (tptp.hAPP @t372 @t480)))) % 0.96/1.14 (assume @p479 (forall (@list @t41 @t29 @t115 @t1 @t44) (or (not (= (tptp.hAPP @t41 @t625) (tptp.hAPP @t115 @t625))) @t483 @t481 @t624))) % 0.96/1.14 (assume @p480 (forall @t70 (tptp.hBOOL (tptp.hAPP @t100 @t2)))) % 0.96/1.14 (assume @p481 (forall @t466 (or @t463 @t460 (not @t626)))) % 0.96/1.14 (assume @p482 (forall (@list @t139 @t1 @t2) (or (not (= @t484 @t37)) @t142))) % 0.96/1.14 (assume @p483 (forall @t629 (or @t628 @t627 @t81))) % 0.96/1.14 (assume @p484 (forall @t629 (or @t628 @t430 @t81))) % 0.96/1.14 (assume @p485 (forall @t629 (or @t628 @t627 @t630))) % 0.96/1.14 (assume @p486 (forall @t629 (or @t628 @t430 @t630))) % 0.96/1.14 (assume @p487 (forall (@list @t29 @t115 @t41 @t44 @t1 @t114) (= (tptp.c_Set_Oimage (tptp.c_FuncSet_Ocompose @t29 @t115 @t41 @t44 @t1 @t114) @t29 @t44 @t114) (tptp.c_Set_Oimage @t115 @t65 @t1 @t114)))) % 0.96/1.14 (assume @p488 (forall (@list @t500 @t9 @t29 @t1 @t496 @t501 @t499 @t498 @t497 @t495 @t494) (or (= (tptp.hAPP @t500 @t237) (tptp.hAPP @t517 @t631)) @t502))) % 0.96/1.14 (assume @p489 (forall (@list @t501 @t9 @t29 @t1 @t497 @t500 @t499 @t498 @t496 @t495 @t494) (or (= (tptp.hAPP @t501 @t237) (tptp.hAPP @t518 @t632)) @t502))) % 0.96/1.14 (assume @p490 (forall (@list @t1 @t29 @t33 @t139 @t44 @t328 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t634) @t241)) @t331 @t633 @t200))) % 0.96/1.14 (assume @p491 (forall @t509 (or @t136 (not @t635)))) % 0.96/1.14 (assume @p492 (forall @t509 (or @t635 @t231))) % 0.96/1.14 (assume @p493 (forall @t243 (not (= @t37 @t237)))) % 0.96/1.14 (assume @p494 (forall @t615 (not (tptp.hBOOL (tptp.hAPP @t462 @t525))))) % 0.96/1.14 (assume @p495 (forall @t507 (not (tptp.hBOOL (tptp.hAPP @t506 @t525))))) % 0.96/1.14 (assume @p496 (forall (@list @t41 @t640 @t2 @t636 @t637 @t1 @t42) (or (not (= @t642 (tptp.hAPP @t636 @t641))) (not (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t637 @t640 @t1 @t42)) (= @t639 (tptp.hAPP (tptp.hAPP @t637 @t636) @t2))))) % 0.96/1.14 (assume @p497 (forall (@list @t41 @t640 @t2 @t637 @t1 @t44) (or (not (= @t642 @t641)) @t643 (= @t639 @t2)))) % 0.96/1.14 (assume @p498 (forall @t273 (or (= @t531 (tptp.c_Set_Oinsert @t9 @t109 @t1)) (not @t530)))) % 0.96/1.14 (assume @p499 (forall @t272 (or (= @t529 @t512) @t172))) % 0.96/1.14 (assume @p500 (forall @t352 (= (tptp.c_Set_Oimage @t41 @t351 @t44 @t1) (tptp.c_Set_Oinsert @t476 @t164 @t1)))) % 0.96/1.14 (assume @p501 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t100 @t27) @t37))) % 0.96/1.14 (assume @p502 (forall (@list @t41 @t9 @t12 @t1 @t44) (or (= @t476 @t12) (not (tptp.hBOOL (tptp.hAPP @t170 (tptp.c_Set_Ovimage @t41 (tptp.c_Set_Oinsert @t12 @t99 @t44) @t1 @t44))))))) % 0.96/1.14 (assume @p503 (forall (@list @t1 @t44 @t29 @t41 @t115 @t114) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 (tptp.c_FuncSet_Ocompose @t29 @t41 @t115 @t1 @t114 @t44)) @t480)))) % 0.96/1.14 (assume @p504 (forall (@list @t9 @t44 @t33 @t1) (= (tptp.c_Set_Oinsert @t9 @t239 @t1) @t173))) % 0.96/1.14 (assume @p505 (forall (@list @t1 @t139 @t2) (or (not (= @t37 @t484)) @t142))) % 0.96/1.14 (assume @p506 (forall @t513 (tptp.hBOOL (tptp.hAPP @t184 @t2)))) % 0.96/1.14 (assume @p507 (forall @t7 (or @t26 @t644))) % 0.96/1.14 (assume @p508 (forall @t7 (or @t6 @t644))) % 0.96/1.14 (assume @p509 (forall @t48 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t88 @t27) @t88))) % 0.96/1.14 (assume @p510 (forall @t38 (or @t146 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t37 @t1) @t101)))) % 0.96/1.14 (assume @p511 (forall @t648 (or @t647 (not @t645)))) % 0.96/1.14 (assume @p512 (forall @t648 (or (tptp.hBOOL (tptp.hAPP @t646 @t616)) @t334))) % 0.96/1.14 (assume @p513 (forall (@list @t1 @t44 @t9 @t12 @t167) (or @t645 (not @t647)))) % 0.96/1.14 (assume @p514 (forall @t137 (or (= @t162 @t33) @t299))) % 0.96/1.14 (assume @p515 (forall (@list @t500 @t1 @t495 @t501 @t499 @t498 @t497 @t496 @t494) (or (= (tptp.hAPP @t500 @t37) @t495) @t502))) % 0.96/1.14 (assume @p516 (forall (@list @t501 @t1 @t494 @t500 @t499 @t498 @t497 @t496 @t495) (or (= (tptp.hAPP @t501 @t37) @t494) @t502))) % 0.96/1.14 (assume @p517 (forall (@list @t29 @t1 @t44) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBK @t37 @t27 @t44) @t44 @t27) @t37))) % 0.96/1.14 (assume @p518 (forall @t238 (or (= @t524 @t29) @t172))) % 0.96/1.14 (assume @p519 (forall @t70 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t2 @t1) @t2)))) % 0.96/1.14 (assume @p520 (forall @t40 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t29 @t27) @t29))) % 0.96/1.14 (assume @p521 (forall @t532 (or @t146 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t173 @t1) @t9)))) % 0.96/1.14 (assume @p522 (forall (@list @t1 @t44 @t9 @t12 @t29 @t33) (or @t467 @t649 @t172))) % 0.96/1.14 (assume @p523 (forall @t259 (or (not (= @t65 @t37)) @t508))) % 0.96/1.14 (assume @p524 (forall @t532 (= @t338 @t173))) % 0.96/1.14 (assume @p525 (forall @t90 (= (tptp.c_HOL_Ominus__class_Ominus @t88 @t28 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t305 @t27)))) % 0.96/1.14 (assume @p526 (forall (@list @t500 @t9 @t1 @t501 @t499 @t498 @t497 @t496 @t495 @t494) (or (= (tptp.hAPP @t500 @t173) @t9) @t502))) % 0.96/1.14 (assume @p527 (forall (@list @t501 @t9 @t1 @t500 @t499 @t498 @t497 @t496 @t495 @t494) (or (= (tptp.hAPP @t501 @t173) @t9) @t502))) % 0.96/1.14 (assume @p528 (forall @t651 (or @t650 (= @t9 @t386)))) % 0.96/1.14 (assume @p529 (forall @t651 (or @t650 (= @t12 @t385)))) % 0.96/1.14 (assume @p530 (forall @t70 (tptp.hBOOL (tptp.hAPP @t181 @t212)))) % 0.96/1.14 (assume @p531 (forall @t533 (or @t485 @t142 @t232))) % 0.96/1.14 (assume @p532 (forall @t40 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t652 @t27) @t29))) % 0.96/1.14 (assume @p533 (forall (@list @t29 @t41 @t2 @t1 @t44) (or @t654 (not @t653)))) % 0.96/1.14 (assume @p534 (forall (@list @t41 @t29 @t1 @t44 @t2) (or @t653 (not @t654)))) % 0.96/1.14 (assume @p535 (forall (@list @t29 @t115 @t41 @t1 @t44 @t114 @t33) (or (tptp.c_Fun_Oinj__on @t623 @t29 @t1 @t114) (not (tptp.c_Fun_Oinj__on @t115 @t33 @t44 @t114)) @t299))) % 0.96/1.14 (assume @p536 (forall @t75 (or @t537 @t78 @t73))) % 0.96/1.14 (assume @p537 (forall @t532 (= (tptp.c_Collect (tptp.hAPP @t337 @t9) @t1) @t173))) % 0.96/1.14 (assume @p538 (forall @t510 (= (tptp.c_Set_Ovimage @t41 @t99 @t1 @t44) @t37))) % 0.96/1.14 (assume @p539 (forall @t271 (= (tptp.c_Collect (tptp.hAPP @t225 @t29) @t1) @t29))) % 0.96/1.14 (assume @p540 (forall @t466 (or @t626 @t464 @t460 @t97))) % 0.96/1.14 (assume @p541 (forall @t466 (or @t626 @t464 @t56 @t97))) % 0.96/1.14 (assume @p542 (forall @t533 (or @t232 @t141 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t655) @t29))))) % 0.96/1.14 (assume @p543 (forall (@list @t139 @t29 @t1 @t9) (or @t579 @t172 @t597))) % 0.96/1.14 (assume @p544 (forall (@list @t498 @t581 @t216 @t1 @t584) (or @t601 @t656))) % 0.96/1.14 (assume @p545 (forall (@list @t498 @t216 @t584 @t1 @t581) (or @t586 @t656))) % 0.96/1.14 (assume @p546 (forall @t321 (or @t320 @t657))) % 0.96/1.14 (assume @p547 (forall @t323 (or @t318 @t657))) % 0.96/1.14 (assume @p548 (forall @t658 (or @t614 @t266 @t232 @t56 @t231))) % 0.96/1.14 (assume @p549 (forall @t658 (or @t614 @t266 @t232 @t231 @t56))) % 0.96/1.14 (assume @p550 (forall (@list @t41 @t2 @t328 @t1 @t29 @t44) (or (not (= @t43 (tptp.hAPP @t41 @t328))) @t330 @t232 @t231 @t572))) % 0.96/1.14 (assume @p551 (forall (@list @t41 @t2 @t3 @t29 @t1 @t44) (or @t614 @t231 @t56 @t266 @t232))) % 0.96/1.14 (assume @p552 (forall @t600 (or @t142 @t599))) % 0.96/1.14 (assume @p553 (forall @t230 (or (not (= @t227 @t226)) (= @t91 @t224)))) % 0.96/1.14 (assume @p554 (forall (@list @t1 @t9 @t139) (or @t659 @t597))) % 0.96/1.14 (assume @p555 (forall (@list @t139 @t9 @t1) (or @t596 (not @t659)))) % 0.96/1.14 (assume @p556 (forall (@list @t1 @t216 @t499 @t222) (or @t661 (not @t660)))) % 0.96/1.14 (assume @p557 (forall (@list @t499 @t216 @t222 @t1) (or @t660 (not @t661)))) % 0.96/1.14 (assume @p558 (forall @t323 (or @t603 @t320 @t319))) % 0.96/1.14 (assume @p559 (forall (@list @t138 @t663 @t1 @t29 @t139) (or (tptp.hBOOL (tptp.hAPP @t138 @t663)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t663) @t29))) @t662))) % 0.96/1.14 (assume @p560 (forall (@list @t139 @t664 @t1 @t29 @t138) (or (tptp.hBOOL (tptp.hAPP @t139 @t664)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t664) @t29))) @t662))) % 0.96/1.14 (assume @p561 (forall @t533 (or @t232 @t141 (not (tptp.hBOOL (tptp.hAPP @t139 @t655)))))) % 0.96/1.14 (assume @p562 (forall @t194 (or (not (= @t184 @t185)) @t191 @t182 @t58))) % 0.96/1.14 (assume @p563 (forall @t665 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t605) @t29)) @t232 @t142))) % 0.96/1.14 (assume @p564 (forall (@list @t1 @t12 @t29 @t33 @t44 @t2) (or (tptp.hBOOL (tptp.hAPP @t177 @t241)) (not (tptp.hBOOL (tptp.hAPP @t177 @t76))) @t200))) % 0.96/1.14 (assume @p565 (forall (@list @t44 @t12 @t29 @t33 @t1 @t9) (or (tptp.hBOOL (tptp.hAPP @t335 @t219)) @t649 @t172))) % 0.96/1.14 (assume @p566 (forall @t668 (or @t667 (not @t666)))) % 0.96/1.14 (assume @p567 (forall (@list @t498 @t222 @t216 @t1) (or @t666 (not @t667)))) % 0.96/1.14 (assume @p568 (forall (@list @t139 @t29 @t33 @t44 @t1 @t328 @t2) (or (tptp.hBOOL (tptp.hAPP @t139 @t634)) @t331 @t633 @t200))) % 0.96/1.14 (assume @p569 (forall (@list @t1 @t9 @t41 @t33 @t44) (or @t670 (not @t669)))) % 0.96/1.14 (assume @p570 (forall (@list @t44 @t9 @t41 @t29 @t1) (or (tptp.hBOOL (tptp.hAPP @t672 @t257)) (not (tptp.hBOOL (tptp.hAPP @t671 @t29)))))) % 0.96/1.14 (assume @p571 (forall (@list @t44 @t9 @t41 @t33 @t1) (or (tptp.hBOOL (tptp.hAPP @t672 @t295)) (not (tptp.hBOOL (tptp.hAPP @t671 @t33)))))) % 0.96/1.14 (assume @p572 (forall (@list @t44 @t41 @t9 @t33 @t1) (or @t669 (not @t670)))) % 0.96/1.14 (assume @p573 (forall @t536 (or (tptp.hBOOL (tptp.hAPP @t477 @t29)) (not (tptp.hBOOL (tptp.hAPP @t170 @t309)))))) % 0.96/1.14 (assume @p574 (forall (@list @t499 @t501 @t29 @t2 @t1 @t500 @t498 @t497 @t496 @t495 @t494) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t499 @t632) @t2)) @t232 @t502))) % 0.96/1.14 (assume @p575 (forall (@list @t499 @t2 @t500 @t29 @t1 @t501 @t498 @t497 @t496 @t495 @t494) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t499 @t2) @t631)) @t232 @t502))) % 0.96/1.14 (assume @p576 (forall (@list @t499 @t216 @t584 @t1 @t581) (or @t594 @t673))) % 0.96/1.14 (assume @p577 (forall (@list @t499 @t581 @t216 @t1 @t584) (or @t582 @t673))) % 0.96/1.14 (assume @p578 (forall (@list @t139 @t29 @t33 @t1 @t2) (or @t674 @t142 @t193))) % 0.96/1.14 (assume @p579 (forall (@list @t139 @t29 @t33 @t1 @t328) (or @t674 @t331 @t330))) % 0.96/1.14 (assume @p580 (forall @t665 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t607) @t29)) @t142 @t232))) % 0.96/1.14 (assume @p581 (forall @t238 (or (= @t237 @t29) @t172))) % 0.96/1.14 (assume @p582 (forall @t668 (or @t676 (not @t675)))) % 0.96/1.14 (assume @p583 (forall (@list @t498 @t216 @t222 @t1) (or @t675 (not @t676)))) % 0.96/1.14 (assume @p584 (forall (@list @t29 @t33 @t1 @t44 @t114 @t12 @t80 @t2) (or @t679 (not (tptp.hBOOL (tptp.hAPP @t677 @t80))) @t232))) % 0.96/1.14 (assume @p585 (forall (@list @t29 @t33 @t1 @t44 @t12 @t2) (or @t680 (not (tptp.hBOOL @t677)) @t232))) % 0.96/1.14 (assume @p586 (forall (@list @t29 @t33 @t1 @t44 @t114 @t12 @t80 @t9) (or @t679 (not (tptp.hBOOL (tptp.hAPP @t681 @t80))) @t172))) % 0.96/1.14 (assume @p587 (forall (@list @t29 @t33 @t1 @t44 @t12 @t9) (or @t680 (not (tptp.hBOOL @t681)) @t172))) % 0.96/1.14 (assume @p588 (forall (@list @t498 @t216 @t584 @t1 @t499 @t581) (or @t586 @t682))) % 0.96/1.14 (assume @p589 (forall (@list @t499 @t581 @t216 @t1 @t498 @t584) (or @t582 @t682))) % 0.96/1.14 (assume @p590 (forall @t665 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t683) @t29)) @t142 @t232))) % 0.96/1.14 (assume @p591 (forall @t606 (or (tptp.hBOOL (tptp.hAPP @t139 @t683)) @t142 @t232))) % 0.96/1.14 (assume @p592 (forall (@list @t42 @t2 @t29 @t1 @t41) (or @t234 (tptp.hBOOL (tptp.hAPP @t201 (tptp.c_Set_Oimage @t41 @t29 @t42 @t1)))))) % 0.96/1.14 (assume @p593 (forall (@list @t44 @t2 @t29 @t1 @t41) (or @t200 @t684))) % 0.96/1.14 (assume @p594 (forall (@list @t1 @t41 @t2 @t29 @t44) (or @t684 @t200))) % 0.96/1.14 (assume @p595 (forall (@list @t44 @t41 @t2 @t29 @t1) (or (tptp.hBOOL (tptp.hAPP @t685 @t162)) @t232))) % 0.96/1.14 (assume @p596 (forall @t374 (or @t687 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t686) @t29))))) % 0.96/1.14 (assume @p597 (forall @t374 (or @t687 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t688) @t29))))) % 0.96/1.14 (assume @p598 (forall (@list @t41 @t2 @t44 @t1 @t29) (or (= @t43 (tptp.c_HOL_Oundefined @t44)) @t182 @t481))) % 0.96/1.14 (assume @p599 (forall @t374 (or @t687 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 (tptp.hAPP @t41 @t686)) (tptp.hAPP @t33 @t686))))))) % 0.96/1.14 (assume @p600 (forall (@list @t41 @t115 @t1 @t29 @t44) (or @t624 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t625) @t29)) @t483 @t481))) % 0.96/1.14 (assume @p601 (forall @t374 (or @t687 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 (tptp.hAPP @t41 @t688)) (tptp.hAPP @t33 @t688))))))) % 0.96/1.14 (assume @p602 (forall @t474 (or @t489 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t488) @t28))))) % 0.96/1.14 (assume @p603 (forall @t474 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t247 @t473) @t28)) @t472))) % 0.96/1.14 (assume @p604 (forall (@list @t1 @t29 @t347 @t167) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t458) @t29)) @t360))) % 0.96/1.14 (assume @p605 (forall @t691 (or (= @t690 @t100) (not @t689)))) % 0.96/1.14 (assume @p606 (forall @t691 (or (= @t690 @t37) @t689))) % 0.96/1.14 (assume @p607 (forall @t271 (tptp.hBOOL (tptp.hAPP @t261 @t652)))) % 0.96/1.14 (assume @p608 (forall @t374 (or @t693 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t692) @t29))))) % 0.96/1.14 (assume @p609 (forall @t374 (or @t693 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 (tptp.hAPP @t41 @t692)) @t33)))))) % 0.96/1.14 (assume @p610 (forall (@list @t29 @t696 @t115 @t41 @t1 @t44 @t114 @t695 @t33 @t28 @t32) (or (= (tptp.c_FuncSet_Ocompose @t29 @t696 @t623 @t1 @t114 @t695) (tptp.c_FuncSet_Ocompose @t29 (tptp.c_FuncSet_Ocompose @t33 @t696 @t115 @t44 @t114 @t695) @t41 @t1 @t44 @t695)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t114 @t695)) @t696) (tptp.c_FuncSet_OPi @t28 (tptp.c_COMBK @t32 (tptp.tc_fun @t695 tptp.tc_bool) @t114) @t114 @t695)))) @t694 @t368))) % 0.96/1.14 (assume @p611 (forall (@list @t1 @t114 @t29 @t115 @t41 @t44 @t28 @t33) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t1 @t114)) @t623) (tptp.c_FuncSet_OPi @t29 (tptp.c_COMBK @t28 @t678 @t1) @t1 @t114))) @t694 @t368))) % 0.96/1.14 (assume @p612 (forall @t271 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun @t1 @t1)) @t375) (tptp.c_FuncSet_OPi @t29 (tptp.c_COMBK @t29 @t27 @t1) @t1 @t1))))) % 0.96/1.14 (assume @p613 (forall @t374 (or @t367 @t299))) % 0.96/1.14 (assume @p614 (forall (@list @t1 @t315) (or @t146 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp (tptp.c_COMBK @t315 @t1 @t1) @t1) @t315)))) % 0.96/1.14 (assume @p615 (forall (@list @t637 @t41 @t640 @t697 @t1 @t44) (or (= (tptp.hAPP (tptp.hAPP @t637 (tptp.c_COMBK (tptp.hAPP @t41 (tptp.hAPP @t640 @t697)) @t1 @t1)) @t697) (tptp.hAPP @t638 @t697)) @t643))) % 0.96/1.14 (assume @p616 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.96/1.14 (assume @p617 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.96/1.14 (assume @p618 (forall @t615 (or @t464 (not @t698) @t56 @t541))) % 0.96/1.14 (assume @p619 (forall (@list @t3 @t2 @t461) (or @t698 @t463 @t56 @t541))) % 0.96/1.14 (assume @p620 (forall (@list @t12 @t9 @t461) (or (not (tptp.hBOOL (tptp.hAPP @t422 @t461))) (not (tptp.hBOOL (tptp.hAPP @t399 @t461))) @t541))) % 0.96/1.14 (assume @p621 (forall @t374 (or @t367 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t195 (tptp.hAPP @t41 @t699)) @t33)))))) % 0.96/1.14 (assume @p622 (forall @t374 (or @t367 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t699) @t29))))) % 0.96/1.14 (assume @p623 (forall @t702 (or @t701 @t232 @t700))) % 0.96/1.14 (assume @p624 (forall (@list @t1 @t2 @t29 @t44 @t41 @t33) (or @t232 @t701 @t700))) % 0.96/1.14 (assume @p625 (forall (@list @t1 @t29 @t347 @t28) (or @t704 @t703 (not @t489)))) % 0.96/1.14 (assume @p626 (forall (@list @t1 @t29 @t28 @t347) (or @t471 (not @t704) @t703))) % 0.96/1.14 (assume @p627 (forall (@list @t29 @t28 @t1 @t44 @t33 @t2) (or (not (= (tptp.c_Product__Type_OSigma @t29 @t705 @t44 @t1) (tptp.c_Product__Type_OSigma @t33 @t705 @t44 @t1))) (not (tptp.hBOOL (tptp.hAPP @t181 @t28))) @t58))) % 0.96/1.14 (assume @p628 (forall @t535 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 @t534) tptp.c_Arrow__Order__Mirabelle_OLin)) @t384))) % 0.96/1.14 (assume @p629 (forall @t706 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 @t525) tptp.c_Arrow__Order__Mirabelle_OLin)) @t541))) % 0.96/1.14 (assume @p630 (forall @t706 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 @t503) tptp.c_Arrow__Order__Mirabelle_OLin)) @t541))) % 0.96/1.14 (assume @p631 (forall @t707 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 (tptp.c_Arrow__Order__Mirabelle_Obelow @t461 @t2 @t3)) tptp.c_Arrow__Order__Mirabelle_OLin)) @t541 @t56))) % 0.96/1.14 (assume @p632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.96/1.14 (assume @p633 (forall @t709 (or @t540 (not @t708)))) % 0.96/1.14 (assume @p634 (forall @t709 (or @t708 @t541))) % 0.96/1.14 (assume @p635 (forall @t707 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t539 (tptp.c_Arrow__Order__Mirabelle_Oabove @t461 @t2 @t3)) tptp.c_Arrow__Order__Mirabelle_OLin)) @t541 @t56))) % 0.96/1.14 (assume @p636 (forall @t709 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t393 (tptp.c_COMBK @t461 @t391 tptp.tc_Arrow__Order__Mirabelle_Oindi)) tptp.c_Arrow__Order__Mirabelle_OProf)) @t541))) % 0.96/1.14 (assume @p637 (forall @t702 (or (tptp.hBOOL (tptp.hAPP @t685 @t33)) @t232 @t368))) % 0.96/1.14 (assume @p638 (forall (@list @t1 @t2 @t224) (or @t711 (not @t710)))) % 0.96/1.14 (assume @p639 (forall (@list @t224 @t2 @t1) (or @t710 (not @t711)))) % 0.96/1.14 (assume @p640 (forall (@list @t139 @t1 @t44 @t138) (= (tptp.hAPP (tptp.c_COMBK @t139 @t1 @t44) @t138) @t139))) % 0.96/1.14 (assume @p641 @t712) % 0.96/1.14 (assume @p642 @t714) % 0.96/1.14 (assume @p643 (not @t716)) % 0.96/1.14 (assume @p644 (forall @t720 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t719) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t717))))) % 0.96/1.14 (assume @p645 (forall @t720 (or (tptp.class_Lattices_Oupper__semilattice @t719) @t721))) % 0.96/1.14 (assume @p646 (forall @t720 (or (tptp.class_Lattices_Olower__semilattice @t719) @t721))) % 0.96/1.14 (assume @p647 (forall @t720 (or (tptp.class_Lattices_Odistrib__lattice @t719) (not (tptp.class_Lattices_Odistrib__lattice @t717))))) % 0.96/1.14 (assume @p648 (forall @t720 (or (tptp.class_Lattices_Obounded__lattice @t719) (not (tptp.class_Lattices_Obounded__lattice @t717))))) % 0.96/1.14 (assume @p649 (forall @t720 (or (tptp.class_Orderings_Opreorder @t719) (not (tptp.class_Orderings_Opreorder @t717))))) % 0.96/1.14 (assume @p650 (forall @t720 (or (tptp.class_Lattices_Olattice @t719) @t721))) % 0.96/1.14 (assume @p651 (forall @t720 (or (tptp.class_Orderings_Oorder @t719) (not (tptp.class_Orderings_Oorder @t717))))) % 0.96/1.14 (assume @p652 (forall @t720 (or (tptp.class_Orderings_Otop @t719) (not (tptp.class_Orderings_Otop @t717))))) % 0.96/1.14 (assume @p653 (forall @t720 (or (tptp.class_Orderings_Obot @t719) (not (tptp.class_Orderings_Obot @t717))))) % 0.96/1.14 (assume @p654 (forall @t720 (or (tptp.class_HOL_Oord @t719) (not (tptp.class_HOL_Oord @t717))))) % 0.96/1.14 (assume @p655 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.96/1.14 (assume @p656 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.96/1.14 (assume @p657 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.96/1.14 (assume @p658 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.96/1.14 (assume @p659 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.96/1.14 (assume @p660 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.96/1.14 (assume @p661 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.96/1.14 (assume @p662 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.96/1.14 (assume @p663 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.96/1.14 (assume @p664 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.96/1.14 (assume @p665 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.96/1.14 (assume @p666 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.96/1.14 (assume @p667 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.96/1.14 (assume @p668 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.96/1.14 (assume @p669 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.96/1.14 (assume @p670 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.96/1.14 (assume @p671 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.96/1.14 (assume @p672 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.96/1.14 (assume @p673 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.96/1.14 (assume @p674 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.96/1.14 (assume @p675 (forall @t70 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t337 @t2) @t2)))) % 0.96/1.14 (assume @p676 (forall (@list @t347 @t361 @t1) (or @t363 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t337 @t347) @t361)))))) % 0.96/1.14 (step @p677 :rule instantiate :premises (@p636) :args ((@list tptp.v_Lba____))) % 0.96/1.14 (step @p678 :rule cnf_or_pos :args (@t724)) % 0.96/1.14 (step @p679 :rule reordering :premises (@p678) :args ((or @t722 @t723 (not @t724)))) % 0.96/1.14 (step @p680 :rule chain_m_resolution :premises (@p679 @p641 @p677) :args (@t723 @t725 (@list @t712 @t724))) % 0.96/1.14 (step @p681 :rule instantiate :premises (@p255) :args ((@list tptp.v_F tptp.c_Arrow__Order__Mirabelle_OProf @t392 @t391 tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.96/1.14 (step @p682 :rule cnf_or_pos :args (@t728)) % 0.96/1.14 (step @p683 :rule reordering :premises (@p682) :args ((or @t726 @t727 (not @t728)))) % 0.96/1.14 (step @p684 :rule chain_m_resolution :premises (@p683 @p642 @p681) :args (@t727 @t725 (@list @t714 @t728))) % 0.96/1.14 (step @p685 :rule cnf_or_pos :args (@t731)) % 0.96/1.14 (step @p686 :rule reordering :premises (@p685) :args ((or @t716 @t729 @t730 @t732))) % 0.96/1.14 (step @p687 :rule chain_m_resolution :premises (@p686 @p643 @p684 @p680) :args (@t732 (@list true false false) (@list @t716 @t727 @t723))) % 0.96/1.14 (assume-push @p694 @t202) % 0.96/1.14 (step @p689 :rule instantiate :premises (@p101) :args ((@list @t391 tptp.v_F @t715 tptp.c_Arrow__Order__Mirabelle_OLin @t392 tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.96/1.14 (step-pop @p695 :rule scope :premises (@p689)) % 0.96/1.14 (step @p690 :rule process_scope :premises (@p695) :args (@t731)) % 0.96/1.14 (step @p692 :rule implies_elim :premises (@p690)) % 0.96/1.14 (step @p693 false :rule chain_m_resolution :premises (@p692 @p687 @p101) :args (false (@list true false) (@list @t731 @t202))) % 0.96/1.14 ) % 0.96/1.14 % SZS output end Proof % 0.96/1.14 % cvc5 exiting %------------------------------------------------------------------------------