%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV898-1 : 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 : n004.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 09:02:34 AM UTC 2026 % Result : Unsatisfiable 0.50s 0.93s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV898-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:20:37 EDT 2026 % 0.17/0.34 % CPUTime : % 0.46/0.65 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.93 % SZS status Unsatisfiable % 0.50/0.93 % SZS output start Proof % 0.50/0.95 ( % 0.50/0.95 (declare-sort $$unsorted 0) % 0.50/0.95 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.tc_nat $$unsorted) % 0.50/0.95 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.50/0.95 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Fun_Obij (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.tc_bool $$unsorted) % 0.50/0.95 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.v_F $$unsorted) % 0.50/0.95 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Com_Obody $$unsorted) % 0.50/0.95 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.50/0.95 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Fun_Osurj (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 0.50/0.95 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.50/0.95 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.50/0.95 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.50/0.95 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 0.50/0.95 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.50/0.95 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.50/0.95 (define @t1 () (@var "T_a" $$unsorted)) % 0.50/0.95 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.50/0.95 (define @t3 () (@var "V_A" $$unsorted)) % 0.50/0.95 (define @t4 () (@var "V_C" $$unsorted)) % 0.50/0.95 (define @t5 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 0.50/0.95 (define @t6 () (@var "V_B" $$unsorted)) % 0.50/0.95 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t2)) % 0.50/0.95 (define @t8 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t2)) % 0.50/0.95 (define @t9 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 0.50/0.95 (define @t10 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t2)) % 0.50/0.95 (define @t11 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t2)) % 0.50/0.95 (define @t12 () (@list @t3 @t6 @t1 @t4)) % 0.50/0.95 (define @t13 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.50/0.95 (define @t14 () (@var "V_a" $$unsorted)) % 0.50/0.95 (define @t15 () (tptp.c_Set_Oinsert @t14 @t13 @t1)) % 0.50/0.95 (define @t16 () (not (tptp.class_Orderings_Oorder @t1))) % 0.50/0.95 (define @t17 () (@list @t1 @t14)) % 0.50/0.95 (define @t18 () (@var "V_b" $$unsorted)) % 0.50/0.95 (define @t19 () (= @t14 @t18)) % 0.50/0.95 (define @t20 () (tptp.c_Set_Oinsert @t18 @t13 @t1)) % 0.50/0.95 (define @t21 () (@var "V_y" $$unsorted)) % 0.50/0.95 (define @t22 () (@var "V_x" $$unsorted)) % 0.50/0.95 (define @t23 () (tptp.c_HOL_Ouminus__class_Ouminus @t22 @t1)) % 0.50/0.95 (define @t24 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.50/0.95 (define @t25 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t21 @t1)) % 0.50/0.95 (define @t26 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.50/0.95 (define @t27 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t21 @t1)) % 0.50/0.95 (define @t28 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.50/0.95 (define @t29 () (@list @t1 @t22 @t21)) % 0.50/0.95 (define @t30 () (tptp.c_Set_Oinsert @t14 @t3 @t1)) % 0.50/0.95 (define @t31 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t15 @t2)) % 0.50/0.95 (define @t32 () (tptp.c_Set_Oinsert @t14 @t31 @t1)) % 0.50/0.95 (define @t33 () (@list @t14 @t3 @t1)) % 0.50/0.95 (define @t34 () (@var "V_k" $$unsorted)) % 0.50/0.95 (define @t35 () (tptp.c_SetInterval_Oord__class_OatLeast @t34 @t1)) % 0.50/0.95 (define @t36 () (tptp.c_SetInterval_Oord__class_OlessThan @t34 @t1)) % 0.50/0.95 (define @t37 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.50/0.95 (define @t38 () (@list @t1 @t34)) % 0.50/0.95 (define @t39 () (@var "V_z" $$unsorted)) % 0.50/0.95 (define @t40 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t39 @t1)) % 0.50/0.95 (define @t41 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t40 @t1)) % 0.50/0.95 (define @t42 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t39 @t1)) % 0.50/0.95 (define @t43 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t42 @t1)) % 0.50/0.95 (define @t44 () (not (tptp.class_Lattices_Olattice @t1))) % 0.50/0.95 (define @t45 () (@list @t1 @t22 @t21 @t39)) % 0.50/0.95 (define @t46 () (= @t22 @t21)) % 0.50/0.95 (define @t47 () (tptp.c_SetInterval_Oord__class_OlessThan @t21 @t1)) % 0.50/0.95 (define @t48 () (tptp.c_SetInterval_Oord__class_OlessThan @t22 @t1)) % 0.50/0.95 (define @t49 () (tptp.c_lessequals @t3 @t6 @t2)) % 0.50/0.95 (define @t50 () (not @t49)) % 0.50/0.95 (define @t51 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t3 @t2)) % 0.50/0.95 (define @t52 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t51 @t2)) % 0.50/0.95 (define @t53 () (@list @t3 @t6 @t1)) % 0.50/0.95 (define @t54 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t22 @t1)) % 0.50/0.95 (define @t55 () (= @t25 @t54)) % 0.50/0.95 (define @t56 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.50/0.95 (define @t57 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t3 @t2)) % 0.50/0.95 (define @t58 () (@var "V_n" $$unsorted)) % 0.50/0.95 (define @t59 () (@var "T_b" $$unsorted)) % 0.50/0.95 (define @t60 () (@var "V_f" $$unsorted)) % 0.50/0.95 (define @t61 () (tptp.c_Map_Odom @t60 @t59 @t1)) % 0.50/0.95 (define @t62 () (tptp.hAPP @t60 @t22)) % 0.50/0.95 (define @t63 () (@list @t60 @t22 @t21 @t1 @t59)) % 0.50/0.95 (define @t64 () (tptp.c_in @t22 @t3 @t1)) % 0.50/0.95 (define @t65 () (not @t64)) % 0.50/0.95 (define @t66 () (not (tptp.c_in @t21 @t3 @t1))) % 0.50/0.95 (define @t67 () (tptp.c_Fun_Oinj__on @t60 @t3 @t1 @t59)) % 0.50/0.95 (define @t68 () (not @t67)) % 0.50/0.95 (define @t69 () (not (= @t62 (tptp.hAPP @t60 @t21)))) % 0.50/0.95 (define @t70 () (@list @t60 @t22 @t21 @t3 @t1 @t59)) % 0.50/0.95 (define @t71 () (@var "V_xa" $$unsorted)) % 0.50/0.95 (define @t72 () (= @t22 @t71)) % 0.50/0.95 (define @t73 () (@var "V_c" $$unsorted)) % 0.50/0.95 (define @t74 () (tptp.c_in @t73 @t11 @t1)) % 0.50/0.95 (define @t75 () (not @t74)) % 0.50/0.95 (define @t76 () (tptp.c_in @t73 @t3 @t1)) % 0.50/0.95 (define @t77 () (@list @t73 @t3 @t1 @t6)) % 0.50/0.95 (define @t78 () (tptp.c_in @t73 @t6 @t1)) % 0.50/0.95 (define @t79 () (@list @t73 @t6 @t1 @t3)) % 0.50/0.95 (define @t80 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t40 @t1)) % 0.50/0.95 (define @t81 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t39 @t1) @t80)) % 0.50/0.95 (define @t82 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t39 @t1)) % 0.50/0.95 (define @t83 () (= @t80 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t82 @t1))) % 0.50/0.95 (define @t84 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.50/0.95 (define @t85 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t7 @t2)) % 0.50/0.95 (define @t86 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t4 @t2)) % 0.50/0.95 (define @t87 () (@list @t3 @t6 @t4 @t1)) % 0.50/0.95 (define @t88 () (@list @t60 @t1 @t59)) % 0.50/0.95 (define @t89 () (tptp.c_HOL_Ouminus__class_Ouminus @t21 @t1)) % 0.50/0.95 (define @t90 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 @t1)) % 0.50/0.95 (define @t91 () (tptp.c_HOL_Ouminus__class_Ouminus @t6 @t2)) % 0.50/0.95 (define @t92 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t2)) % 0.50/0.95 (define @t93 () (@var "V_y_H" $$unsorted)) % 0.50/0.95 (define @t94 () (@var "V_x_H" $$unsorted)) % 0.50/0.95 (define @t95 () (tptp.c_HOL_Ominus__class_Ominus @t94 @t93 @t1)) % 0.50/0.95 (define @t96 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t22 @t1)) % 0.50/0.95 (define @t97 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.50/0.95 (define @t98 () (tptp.c_Set_Oinsert @t22 @t13 @t1)) % 0.50/0.95 (define @t99 () (tptp.tc_fun @t59 tptp.tc_bool)) % 0.50/0.95 (define @t100 () (tptp.c_Orderings_Otop__class_Otop @t99)) % 0.50/0.95 (define @t101 () (tptp.c_Set_Oimage @t60 @t100 @t59 @t1)) % 0.50/0.95 (define @t102 () (tptp.c_Fun_Oinj__on @t60 @t8 @t1 @t59)) % 0.50/0.95 (define @t103 () (not @t102)) % 0.50/0.95 (define @t104 () (tptp.c_Orderings_Obot__class_Obot @t99)) % 0.50/0.95 (define @t105 () (tptp.c_Set_Oimage @t60 @t92 @t1 @t59)) % 0.50/0.95 (define @t106 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 (tptp.c_Set_Oimage @t60 @t51 @t1 @t59) @t99) @t104)) % 0.50/0.95 (define @t107 () (@list @t60 @t3 @t6 @t1 @t59)) % 0.50/0.95 (define @t108 () (tptp.c_Fun_Oinj__on @t60 @t6 @t1 @t59)) % 0.50/0.95 (define @t109 () (not @t108)) % 0.50/0.95 (define @t110 () (@var "V_P" $$unsorted)) % 0.50/0.95 (define @t111 () (tptp.c_COMBI @t1)) % 0.50/0.95 (define @t112 () (@var "V_S" $$unsorted)) % 0.50/0.95 (define @t113 () (tptp.c_in @t22 @t112 @t1)) % 0.50/0.95 (define @t114 () (tptp.hBOOL (tptp.hAPP @t112 @t22))) % 0.50/0.95 (define @t115 () (tptp.c_Set_Oinsert @t22 @t3 @t1)) % 0.50/0.95 (define @t116 () (tptp.c_Set_Oinsert @t21 @t3 @t1)) % 0.50/0.95 (define @t117 () (@var "V_u" $$unsorted)) % 0.50/0.95 (define @t118 () (@var "V_l" $$unsorted)) % 0.50/0.95 (define @t119 () (not (tptp.c_lessequals @t118 @t117 @t1))) % 0.50/0.95 (define @t120 () (tptp.c_SetInterval_Oord__class_OatLeast @t118 @t1)) % 0.50/0.95 (define @t121 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t117 @t1)) % 0.50/0.95 (define @t122 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t118 @t117 @t1)) % 0.50/0.95 (define @t123 () (@list @t1 @t118 @t117)) % 0.50/0.95 (define @t124 () (tptp.c_Set_Oimage @t60 @t3 @t59 @t1)) % 0.50/0.95 (define @t125 () (tptp.c_Hilbert__Choice_Oinv__into @t3 @t60 @t59 @t1)) % 0.50/0.95 (define @t126 () (tptp.c_Fun_Oid @t1)) % 0.50/0.95 (define @t127 () (@list @t1 @t3)) % 0.50/0.95 (define @t128 () (tptp.c_Set_Oimage @t60 @t3 @t1 @t59)) % 0.50/0.95 (define @t129 () (tptp.c_Hilbert__Choice_Oinv__into @t3 @t60 @t1 @t59)) % 0.50/0.95 (define @t130 () (tptp.c_Set_Oinsert @t22 @t6 @t1)) % 0.50/0.95 (define @t131 () (tptp.c_Set_Oinsert @t14 @t6 @t1)) % 0.50/0.95 (define @t132 () (@list @t22 @t3 @t1)) % 0.50/0.95 (define @t133 () (tptp.hAPP @t60 @t14)) % 0.50/0.95 (define @t134 () (tptp.c_in @t133 (tptp.c_Set_Oimage @t60 @t31 @t1 @t59) @t59)) % 0.50/0.95 (define @t135 () (tptp.c_Fun_Oinj__on @t60 @t30 @t1 @t59)) % 0.50/0.95 (define @t136 () (@list @t60 @t14 @t3 @t1 @t59)) % 0.50/0.95 (define @t137 () (tptp.c_Orderings_Otop__class_Otop @t2)) % 0.50/0.95 (define @t138 () (@list @t1)) % 0.50/0.95 (define @t139 () (@list @t1 @t22)) % 0.50/0.95 (define @t140 () (@list @t3 @t1)) % 0.50/0.95 (define @t141 () (@var "V_F" $$unsorted)) % 0.50/0.95 (define @t142 () (tptp.c_Finite__Set_Ofinite @t141 @t1)) % 0.50/0.95 (define @t143 () (not @t142)) % 0.50/0.95 (define @t144 () (@var "V_h" $$unsorted)) % 0.50/0.95 (define @t145 () (@var "V_g" $$unsorted)) % 0.50/0.95 (define @t146 () (tptp.c_Fun_Oid @t59)) % 0.50/0.95 (define @t147 () (tptp.c_Fun_Osurj @t60 @t1 @t59)) % 0.50/0.95 (define @t148 () (not @t147)) % 0.50/0.95 (define @t149 () (tptp.c_Hilbert__Choice_Oinv__into @t137 @t60 @t1 @t59)) % 0.50/0.95 (define @t150 () (= (tptp.c_Fun_Ocomp @t60 @t149 @t1 @t59 @t59) @t146)) % 0.50/0.95 (define @t151 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.50/0.95 (define @t152 () (@list @t1 @t21 @t39 @t22)) % 0.50/0.95 (define @t153 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t4 @t2)) % 0.50/0.95 (define @t154 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t7 @t2)) % 0.50/0.95 (define @t155 () (@list @t6 @t4 @t1 @t3)) % 0.50/0.95 (define @t156 () (@var "T_c" $$unsorted)) % 0.50/0.95 (define @t157 () (tptp.c_Fun_Ocomp @t145 @t60 @t156 @t59 @t1)) % 0.50/0.95 (define @t158 () (= @t11 @t13)) % 0.50/0.95 (define @t159 () (not @t158)) % 0.50/0.95 (define @t160 () (tptp.c_Set_Oinsert @t117 @t13 @t1)) % 0.50/0.95 (define @t161 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t118 @t117 @t1)) % 0.50/0.95 (define @t162 () (tptp.c_lessequals @t3 @t130 @t2)) % 0.50/0.95 (define @t163 () (not @t162)) % 0.50/0.95 (define @t164 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t98 @t2)) % 0.50/0.95 (define @t165 () (tptp.c_lessequals @t164 @t6 @t2)) % 0.50/0.95 (define @t166 () (not @t165)) % 0.50/0.95 (define @t167 () (@list @t3 @t22 @t6 @t1)) % 0.50/0.95 (define @t168 () (not @t135)) % 0.50/0.95 (define @t169 () (tptp.c_in @t22 @t6 @t1)) % 0.50/0.95 (define @t170 () (not @t169)) % 0.50/0.95 (define @t171 () (tptp.c_HOL_Ominus__class_Ominus @t115 @t6 @t2)) % 0.50/0.95 (define @t172 () (@list @t22 @t3 @t1 @t6)) % 0.50/0.95 (define @t173 () (@var "V_m" $$unsorted)) % 0.50/0.95 (define @t174 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t173 @t117 @t1)) % 0.50/0.95 (define @t175 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t118 @t173 @t1)) % 0.50/0.95 (define @t176 () (@list @t1 @t118 @t173 @t117)) % 0.50/0.95 (define @t177 () (tptp.c_SetInterval_Oord__class_OatLeast @t117 @t1)) % 0.50/0.95 (define @t178 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t2)) % 0.50/0.95 (define @t179 () (tptp.c_in @t73 @t178 @t1)) % 0.50/0.95 (define @t180 () (not @t76)) % 0.50/0.95 (define @t181 () (@list @t73 @t3 @t1)) % 0.50/0.95 (define @t182 () (tptp.c_Set_Oimage @t145 @t3 @t156 @t1)) % 0.50/0.95 (define @t183 () (tptp.c_Fun_Ocomp @t60 @t145 @t1 @t59 @t156)) % 0.50/0.95 (define @t184 () (tptp.c_Fun_Obij @t60 @t1 @t59)) % 0.50/0.95 (define @t185 () (not @t184)) % 0.50/0.95 (define @t186 () (tptp.c_HOL_Ouminus__class_Ouminus @t128 @t99)) % 0.50/0.95 (define @t187 () (tptp.c_Set_Oimage @t60 @t178 @t1 @t59)) % 0.50/0.95 (define @t188 () (@list @t60 @t3 @t1 @t59)) % 0.50/0.95 (define @t189 () (not (tptp.c_in @t22 @t13 @t1))) % 0.50/0.95 (define @t190 () (tptp.hBOOL (tptp.hAPP @t110 @t22))) % 0.50/0.95 (define @t191 () (not @t190)) % 0.50/0.95 (define @t192 () (@list @t110 @t22 @t1)) % 0.50/0.95 (define @t193 () (@var "V_X" $$unsorted)) % 0.50/0.95 (define @t194 () (not (tptp.c_in @t14 @t193 @t1))) % 0.50/0.95 (define @t195 () (tptp.hAPP @t60 @t193)) % 0.50/0.95 (define @t196 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.50/0.95 (define @t197 () (@var "V_ts" $$unsorted)) % 0.50/0.95 (define @t198 () (@var "V_t" $$unsorted)) % 0.50/0.95 (define @t199 () (@var "V_G" $$unsorted)) % 0.50/0.95 (define @t200 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 (tptp.c_Set_Oinsert @t198 @t197 @t196) @t1)) % 0.50/0.95 (define @t201 () (not @t200)) % 0.50/0.95 (define @t202 () (tptp.tc_fun @t196 tptp.tc_bool)) % 0.50/0.95 (define @t203 () (tptp.c_Orderings_Obot__class_Obot @t202)) % 0.50/0.95 (define @t204 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 (tptp.c_Set_Oinsert @t198 @t203 @t196) @t1)) % 0.50/0.95 (define @t205 () (tptp.c_in @t73 @t92 @t1)) % 0.50/0.95 (define @t206 () (@list @t73 @t3 @t6 @t1)) % 0.50/0.95 (define @t207 () (tptp.c_Set_Ovimage @t60 @t3 @t1 @t59)) % 0.50/0.95 (define @t208 () (@list @t60 @t3 @t59 @t1)) % 0.50/0.95 (define @t209 () (tptp.c_Fun_Oinj__on @t60 @t137 @t1 @t59)) % 0.50/0.95 (define @t210 () (not @t209)) % 0.50/0.95 (define @t211 () (tptp.c_Set_Oimage @t60 @t6 @t1 @t59)) % 0.50/0.95 (define @t212 () (= @t105 (tptp.c_HOL_Ominus__class_Ominus @t128 @t211 @t99))) % 0.50/0.95 (define @t213 () (tptp.c_lessequals @t115 @t6 @t2)) % 0.50/0.95 (define @t214 () (not @t213)) % 0.50/0.95 (define @t215 () (@list @t22 @t6 @t1 @t3)) % 0.50/0.95 (define @t216 () (tptp.hBOOL (tptp.hAPP @t3 @t22))) % 0.50/0.95 (define @t217 () (not @t216)) % 0.50/0.95 (define @t218 () (tptp.hBOOL (tptp.hAPP @t116 @t22))) % 0.50/0.95 (define @t219 () (@list @t60 @t22 @t3 @t1 @t59)) % 0.50/0.95 (define @t220 () (@list @t3 @t6 @t1 @t22)) % 0.50/0.95 (define @t221 () (= @t3 @t6)) % 0.50/0.95 (define @t222 () (tptp.c_in @t14 @t3 @t1)) % 0.50/0.95 (define @t223 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t131 @t2)) % 0.50/0.95 (define @t224 () (@list @t3 @t14 @t6 @t1)) % 0.50/0.95 (define @t225 () (tptp.c_in @t14 @t4 @t1)) % 0.50/0.95 (define @t226 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t131 @t4 @t2)) % 0.50/0.95 (define @t227 () (@list @t14 @t6 @t1 @t4)) % 0.50/0.95 (define @t228 () (not (= @t8 @t13))) % 0.50/0.95 (define @t229 () (= @t3 @t13)) % 0.50/0.95 (define @t230 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t1) @t24))) % 0.50/0.95 (define @t231 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.50/0.95 (define @t232 () (@list @t1 @t3 @t6)) % 0.50/0.95 (define @t233 () (@var "V_v" $$unsorted)) % 0.50/0.95 (define @t234 () (tptp.hAPP @t14 (tptp.hAPP @t18 @t233))) % 0.50/0.95 (define @t235 () (tptp.c_Fun_Ocomp @t14 @t18 @t156 @t59 @t1)) % 0.50/0.95 (define @t236 () (tptp.c_Finite__Set_Ofinite @t137 @t1)) % 0.50/0.95 (define @t237 () (not @t236)) % 0.50/0.95 (define @t238 () (tptp.c_Finite__Set_Ocard @t3 @t1)) % 0.50/0.95 (define @t239 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t3 @t2)) % 0.50/0.95 (define @t240 () (@list @t6 @t3 @t1)) % 0.50/0.95 (define @t241 () (tptp.c_Set_Oimage @t149 @t3 @t59 @t1)) % 0.50/0.95 (define @t242 () (not (tptp.c_Fun_Obij__betw @t60 @t3 @t6 @t1 @t59))) % 0.50/0.95 (define @t243 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t4 @t2)) % 0.50/0.95 (define @t244 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t4 @t2)) % 0.50/0.95 (define @t245 () (not (tptp.c_Fun_Obij @t144 @t1 @t59))) % 0.50/0.95 (define @t246 () (tptp.c_Finite__Set_Ofinite @t141 @t59)) % 0.50/0.95 (define @t247 () (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t144 @t141 @t1 @t59) @t1)) % 0.50/0.95 (define @t248 () (@list @t144 @t141 @t1 @t59)) % 0.50/0.95 (define @t249 () (not @t247)) % 0.50/0.95 (define @t250 () (@list @t141 @t59 @t144 @t1)) % 0.50/0.95 (define @t251 () (tptp.c_in @t133 @t6 @t59)) % 0.50/0.95 (define @t252 () (tptp.c_Set_Ovimage @t60 @t6 @t1 @t59)) % 0.50/0.95 (define @t253 () (tptp.c_in @t14 @t252 @t1)) % 0.50/0.95 (define @t254 () (tptp.c_Set_Ovimage @t60 @t3 @t59 @t1)) % 0.50/0.95 (define @t255 () (tptp.c_Set_Ovimage @t60 @t6 @t59 @t1)) % 0.50/0.95 (define @t256 () (@list @t60 @t14 @t6 @t59 @t1)) % 0.50/0.95 (define @t257 () (tptp.c_HOL_Ouminus__class_Ouminus @t18 @t1)) % 0.50/0.95 (define @t258 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1)) % 0.50/0.95 (define @t259 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t258 @t257 @t1)) % 0.50/0.95 (define @t260 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t18 @t1)) % 0.50/0.95 (define @t261 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.50/0.95 (define @t262 () (@list @t1 @t14 @t18)) % 0.50/0.95 (define @t263 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t22 @t1)) % 0.50/0.95 (define @t264 () (= @t27 @t263)) % 0.50/0.95 (define @t265 () (@var "V_pname_H" $$unsorted)) % 0.50/0.95 (define @t266 () (@var "V_pname" $$unsorted)) % 0.50/0.95 (define @t267 () (not @t222)) % 0.50/0.95 (define @t268 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t27 @t1) @t27)) % 0.50/0.95 (define @t269 () (tptp.c_Fun_Ocomp @t145 @t60 @t59 @t156 @t1)) % 0.50/0.95 (define @t270 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t258 @t257 @t1)) % 0.50/0.95 (define @t271 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t18 @t1)) % 0.50/0.95 (define @t272 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t99)) % 0.50/0.95 (define @t273 () (@list @t60 @t3 @t6 @t59 @t1)) % 0.50/0.95 (define @t274 () (tptp.c_Set_Oinsert @t34 @t13 @t1)) % 0.50/0.95 (define @t275 () (tptp.hBOOL (tptp.hAPP @t11 @t22))) % 0.50/0.95 (define @t276 () (not @t275)) % 0.50/0.95 (define @t277 () (tptp.hBOOL (tptp.hAPP @t6 @t22))) % 0.50/0.95 (define @t278 () (@list @t6 @t22 @t3 @t1)) % 0.50/0.95 (define @t279 () (tptp.c_Fun_Osurj @t60 @t1 @t1)) % 0.50/0.95 (define @t280 () (tptp.c_Fun_Oinj__on @t60 @t137 @t1 @t1)) % 0.50/0.95 (define @t281 () (@list @t60 @t1)) % 0.50/0.95 (define @t282 () (@list @t60 @t6 @t1 @t59 @t3)) % 0.50/0.95 (define @t283 () (@list @t60 @t3 @t1 @t59 @t6)) % 0.50/0.95 (define @t284 () (tptp.c_lessequals @t3 @t91 @t2)) % 0.50/0.95 (define @t285 () (tptp.c_lessequals @t6 @t128 @t99)) % 0.50/0.95 (define @t286 () (not @t285)) % 0.50/0.95 (define @t287 () (tptp.c_lessequals @t252 @t3 @t2)) % 0.50/0.95 (define @t288 () (@list @t1 @t60 @t59)) % 0.50/0.95 (define @t289 () (tptp.c_lessequals @t3 @t7 @t2)) % 0.50/0.95 (define @t290 () (tptp.c_lessequals @t92 @t4 @t2)) % 0.50/0.95 (define @t291 () (tptp.c_HOL_Ouminus__class_Ouminus @t258 @t1)) % 0.50/0.95 (define @t292 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.50/0.95 (define @t293 () (tptp.c_HOL_Ouminus__class_Ouminus @t257 @t1)) % 0.50/0.95 (define @t294 () (@list @t1 @t18)) % 0.50/0.95 (define @t295 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t99)) % 0.50/0.95 (define @t296 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.50/0.95 (define @t297 () (tptp.tc_fun @t296 tptp.tc_bool)) % 0.50/0.95 (define @t298 () (tptp.c_Orderings_Obot__class_Obot @t297)) % 0.50/0.95 (define @t299 () (@var "V_pn" $$unsorted)) % 0.50/0.95 (define @t300 () (tptp.hAPP tptp.c_Com_Obody @t299)) % 0.50/0.95 (define @t301 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 0.50/0.95 (define @t302 () (tptp.hAPP @t301 @t300)) % 0.50/0.95 (define @t303 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t299)) % 0.50/0.95 (define @t304 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t303)) % 0.50/0.95 (define @t305 () (tptp.c_lessequals @t93 @t94 @t1)) % 0.50/0.95 (define @t306 () (tptp.c_lessequals @t21 @t22 @t1)) % 0.50/0.95 (define @t307 () (not (= @t90 @t95))) % 0.50/0.95 (define @t308 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.50/0.95 (define @t309 () (@list @t1 @t22 @t21 @t94 @t93)) % 0.50/0.95 (define @t310 () (not @t306)) % 0.50/0.95 (define @t311 () (@list @t145 @t60 @t59 @t156 @t1)) % 0.50/0.95 (define @t312 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t99)) % 0.50/0.95 (define @t313 () (@list @t60 @t59 @t1)) % 0.50/0.95 (define @t314 () (@list @t1 @t6)) % 0.50/0.95 (define @t315 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t131 @t2)) % 0.50/0.95 (define @t316 () (@var "T_aa" $$unsorted)) % 0.50/0.95 (define @t317 () (tptp.c_Set_Oinsert @t14 @t11 @t1)) % 0.50/0.95 (define @t318 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t21 @t1)) % 0.50/0.95 (define @t319 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t22 @t1)) % 0.50/0.95 (define @t320 () (@var "V_m2" $$unsorted)) % 0.50/0.95 (define @t321 () (@var "V_m1" $$unsorted)) % 0.50/0.95 (define @t322 () (@var "V_m3" $$unsorted)) % 0.50/0.95 (define @t323 () (tptp.c_HOL_Ouminus__class_Ouminus @t13 @t2)) % 0.50/0.95 (define @t324 () (not @t205)) % 0.50/0.95 (define @t325 () (not (= @t128 @t211))) % 0.50/0.95 (define @t326 () (not (tptp.c_in @t22 @t3 @t316))) % 0.50/0.95 (define @t327 () (@list @t22 @t3 @t316 @t60 @t1)) % 0.50/0.95 (define @t328 () (not @t78)) % 0.50/0.95 (define @t329 () (@var "V_i" $$unsorted)) % 0.50/0.95 (define @t330 () (tptp.c_in @t329 @t35 @t1)) % 0.50/0.95 (define @t331 () (tptp.c_lessequals @t34 @t329 @t1)) % 0.50/0.95 (define @t332 () (not (tptp.class_HOL_Oord @t1))) % 0.50/0.95 (define @t333 () (@list @t1 @t329 @t34)) % 0.50/0.95 (define @t334 () (= @t238 (tptp.c_Finite__Set_Ocard @t6 @t59))) % 0.50/0.95 (define @t335 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.50/0.95 (define @t336 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t199)) % 0.50/0.95 (define @t337 () (not (tptp.c_Com_OWT @t73))) % 0.50/0.95 (define @t338 () (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t73) @t298 @t296)) % 0.50/0.95 (define @t339 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 @t338 tptp.tc_Com_Ostate)) % 0.50/0.95 (define @t340 () (@list @t199 @t73)) % 0.50/0.95 (define @t341 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 0.50/0.95 (define @t342 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 0.50/0.95 (define @t343 () (= (tptp.c_Fun_Ocomp @t149 @t60 @t59 @t1 @t1) @t126)) % 0.50/0.95 (define @t344 () (= (tptp.c_Set_Oimage @t60 @t11 @t1 @t59) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t128 @t211 @t99))) % 0.50/0.95 (define @t345 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.50/0.95 (define @t346 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t4 @t2) @t154)) % 0.50/0.95 (define @t347 () (not @t345)) % 0.50/0.95 (define @t348 () (@list @t22 @t1)) % 0.50/0.95 (define @t349 () (@var "V_a_H" $$unsorted)) % 0.50/0.95 (define @t350 () (tptp.hAPP @t145 @t22)) % 0.50/0.95 (define @t351 () (tptp.hAPP @t60 @t350)) % 0.50/0.95 (define @t352 () (tptp.hAPP (tptp.c_Fun_Ocomp @t60 @t145 @t59 @t1 @t156) @t22)) % 0.50/0.95 (define @t353 () (tptp.c_in @t133 @t128 @t59)) % 0.50/0.95 (define @t354 () (tptp.hBOOL (tptp.hAPP @t8 @t22))) % 0.50/0.95 (define @t355 () (not @t277)) % 0.50/0.95 (define @t356 () (tptp.c_in @t73 @t8 @t1)) % 0.50/0.95 (define @t357 () (@var "V_Y" $$unsorted)) % 0.50/0.95 (define @t358 () (@list @t1 @t357)) % 0.50/0.95 (define @t359 () (tptp.c_Finite__Set_Ofinite @t3 @t1)) % 0.50/0.95 (define @t360 () (not @t359)) % 0.50/0.95 (define @t361 () (@list @t3 @t22 @t1)) % 0.50/0.95 (define @t362 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t39 @t1)) % 0.50/0.95 (define @t363 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t362 @t1)) % 0.50/0.95 (define @t364 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t25 @t39 @t1) @t363)) % 0.50/0.95 (define @t365 () (= @t363 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t42 @t1))) % 0.50/0.95 (define @t366 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t10 @t2)) % 0.50/0.95 (define @t367 () (not (tptp.c_lessequals @t118 @t173 @t1))) % 0.50/0.95 (define @t368 () (not (tptp.c_lessequals @t173 @t117 @t1))) % 0.50/0.95 (define @t369 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t34 @t1)) % 0.50/0.95 (define @t370 () (tptp.c_SetInterval_Oord__class_OatMost @t34 @t1)) % 0.50/0.95 (define @t371 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t1) @t26))) % 0.50/0.95 (define @t372 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t156 tptp.tc_bool))) % 0.50/0.95 (define @t373 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t173 @t117 @t1)) % 0.50/0.95 (define @t374 () (tptp.c_in @t329 @t370 @t1)) % 0.50/0.95 (define @t375 () (tptp.c_lessequals @t329 @t34 @t1)) % 0.50/0.95 (define @t376 () (@list @t4 @t3 @t6 @t1)) % 0.50/0.95 (define @t377 () (tptp.c_HOL_Ominus__class_Ominus @t153 @t10 @t2)) % 0.50/0.95 (define @t378 () (tptp.c_lessequals @t271 @t22 @t1)) % 0.50/0.95 (define @t379 () (not @t378)) % 0.50/0.95 (define @t380 () (tptp.c_lessequals @t14 @t22 @t1)) % 0.50/0.95 (define @t381 () (tptp.c_lessequals @t18 @t22 @t1)) % 0.50/0.95 (define @t382 () (tptp.c_lessequals @t22 @t14 @t1)) % 0.50/0.95 (define @t383 () (not @t382)) % 0.50/0.95 (define @t384 () (tptp.c_lessequals @t22 @t271 @t1)) % 0.50/0.95 (define @t385 () (@list @t1 @t22 @t14 @t18)) % 0.50/0.95 (define @t386 () (tptp.c_lessequals @t22 @t18 @t1)) % 0.50/0.95 (define @t387 () (not @t386)) % 0.50/0.95 (define @t388 () (tptp.c_lessequals @t27 @t39 @t1)) % 0.50/0.95 (define @t389 () (not @t388)) % 0.50/0.95 (define @t390 () (tptp.c_lessequals @t22 @t39 @t1)) % 0.50/0.95 (define @t391 () (@list @t1 @t22 @t39 @t21)) % 0.50/0.95 (define @t392 () (tptp.c_lessequals @t21 @t39 @t1)) % 0.50/0.95 (define @t393 () (tptp.c_lessequals @t25 @t22 @t1)) % 0.50/0.95 (define @t394 () (tptp.c_lessequals @t25 @t21 @t1)) % 0.50/0.95 (define @t395 () (tptp.c_lessequals @t22 @t260 @t1)) % 0.50/0.95 (define @t396 () (tptp.c_lessequals @t22 @t21 @t1)) % 0.50/0.95 (define @t397 () (not @t396)) % 0.50/0.95 (define @t398 () (not @t390)) % 0.50/0.95 (define @t399 () (tptp.c_lessequals @t22 @t362 @t1)) % 0.50/0.95 (define @t400 () (= @t27 @t21)) % 0.50/0.95 (define @t401 () (tptp.c_lessequals @t14 @t18 @t1)) % 0.50/0.95 (define @t402 () (not @t401)) % 0.50/0.95 (define @t403 () (tptp.c_lessequals @t257 @t258 @t1)) % 0.50/0.95 (define @t404 () (@list @t1 @t18 @t14)) % 0.50/0.95 (define @t405 () (= @t25 @t22)) % 0.50/0.95 (define @t406 () (not @t380)) % 0.50/0.95 (define @t407 () (not @t381)) % 0.50/0.95 (define @t408 () (@list @t1 @t14 @t18 @t22)) % 0.50/0.95 (define @t409 () (tptp.c_lessequals @t22 @t27 @t1)) % 0.50/0.95 (define @t410 () (tptp.c_lessequals @t21 @t27 @t1)) % 0.50/0.95 (define @t411 () (@list @t1 @t21 @t22)) % 0.50/0.95 (define @t412 () (tptp.c_lessequals @t39 @t22 @t1)) % 0.50/0.95 (define @t413 () (not @t392)) % 0.50/0.95 (define @t414 () (not @t395)) % 0.50/0.95 (define @t415 () (tptp.c_lessequals @t260 @t22 @t1)) % 0.50/0.95 (define @t416 () (not @t399)) % 0.50/0.95 (define @t417 () (tptp.c_lessequals @t14 @t257 @t1)) % 0.50/0.95 (define @t418 () (tptp.c_lessequals @t18 @t258 @t1)) % 0.50/0.95 (define @t419 () (tptp.c_lessequals @t258 @t18 @t1)) % 0.50/0.95 (define @t420 () (tptp.c_lessequals @t257 @t14 @t1)) % 0.50/0.95 (define @t421 () (tptp.c_Finite__Set_Olinorder__class_OMax @t3 @t1)) % 0.50/0.95 (define @t422 () (tptp.c_Finite__Set_Olinorder__class_OMin @t3 @t1)) % 0.50/0.95 (define @t423 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 0.50/0.95 (define @t424 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t141 @t199 @t2) @t1)) % 0.50/0.95 (define @t425 () (not @t424)) % 0.50/0.95 (define @t426 () (tptp.c_Finite__Set_Ofinite @t199 @t1)) % 0.50/0.95 (define @t427 () (not @t426)) % 0.50/0.95 (define @t428 () (@list @t141 @t199 @t1)) % 0.50/0.95 (define @t429 () (tptp.c_Finite__Set_Ofinite @t30 @t1)) % 0.50/0.95 (define @t430 () (not (tptp.c_Finite__Set_Ofinite @t6 @t1))) % 0.50/0.95 (define @t431 () (tptp.c_Finite__Set_Ofinite @t92 @t1)) % 0.50/0.95 (define @t432 () (not @t431)) % 0.50/0.95 (define @t433 () (@list @t3 @t1 @t6)) % 0.50/0.95 (define @t434 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t141 @t199 @t2) @t1)) % 0.50/0.95 (define @t435 () (= (tptp.c_Finite__Set_Ocard @t128 @t59) @t238)) % 0.50/0.95 (define @t436 () (@var "V_D" $$unsorted)) % 0.50/0.95 (define @t437 () (tptp.c_lessequals @t6 @t4 @t2)) % 0.50/0.95 (define @t438 () (not @t437)) % 0.50/0.95 (define @t439 () (tptp.c_lessequals @t3 @t4 @t2)) % 0.50/0.95 (define @t440 () (not @t439)) % 0.50/0.95 (define @t441 () (not (tptp.c_lessequals @t6 @t436 @t2))) % 0.50/0.95 (define @t442 () (@list @t3 @t6 @t1 @t4 @t436)) % 0.50/0.95 (define @t443 () (tptp.c_lessequals @t8 @t4 @t2)) % 0.50/0.95 (define @t444 () (not @t443)) % 0.50/0.95 (define @t445 () (@list @t3 @t4 @t1 @t6)) % 0.50/0.95 (define @t446 () (tptp.c_lessequals @t4 @t6 @t2)) % 0.50/0.95 (define @t447 () (tptp.c_lessequals @t4 @t11 @t2)) % 0.50/0.95 (define @t448 () (= @t8 @t6)) % 0.50/0.95 (define @t449 () (tptp.c_lessequals @t6 @t3 @t2)) % 0.50/0.95 (define @t450 () (not @t449)) % 0.50/0.95 (define @t451 () (tptp.c_lessequals @t178 @t91 @t2)) % 0.50/0.95 (define @t452 () (tptp.c_Set_Oinsert @t18 @t6 @t1)) % 0.50/0.95 (define @t453 () (@list @t60 @t3 @t59 @t1 @t6)) % 0.50/0.95 (define @t454 () (not @t447)) % 0.50/0.95 (define @t455 () (not (tptp.c_Fun_Oinj__on @t60 @t4 @t1 @t59))) % 0.50/0.95 (define @t456 () (@list @t60 @t3 @t6 @t1 @t59 @t4)) % 0.50/0.95 (define @t457 () (not @t287)) % 0.50/0.95 (define @t458 () (@list @t6 @t60 @t3 @t1 @t59)) % 0.50/0.95 (define @t459 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t3 @t6 @t60 @t1 @t59)) % 0.50/0.95 (define @t460 () (tptp.c_lessequals @t128 @t6 @t99)) % 0.50/0.95 (define @t461 () (tptp.c_Set_Oimage @t60 @t254 @t59 @t1)) % 0.50/0.95 (define @t462 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t82 @t1)) % 0.50/0.95 (define @t463 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t362 @t1)) % 0.50/0.95 (define @t464 () (tptp.c_lessequals @t18 @t14 @t1)) % 0.50/0.95 (define @t465 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t18 @t1)) % 0.50/0.95 (define @t466 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 @t22 @t60 @t145 @t1 @t59)) % 0.50/0.95 (define @t467 () (= (tptp.c_Set_Oimage @t60 @t22 @t1 @t59) (tptp.c_Set_Oimage @t145 @t22 @t1 @t59))) % 0.50/0.95 (define @t468 () (tptp.c_in @t14 (tptp.c_Set_Oinsert @t18 @t3 @t1) @t1)) % 0.50/0.95 (define @t469 () (tptp.c_SetInterval_Oord__class_OatMost @t117 @t1)) % 0.50/0.95 (define @t470 () (tptp.c_SetInterval_Oord__class_OlessThan @t117 @t1)) % 0.50/0.95 (define @t471 () (@var "V_s" $$unsorted)) % 0.50/0.95 (define @t472 () (not (tptp.c_Map_Omap__le @t60 @t145 @t1 @t59))) % 0.50/0.95 (define @t473 () (= @t14 @t73)) % 0.50/0.95 (define @t474 () (@var "V_d" $$unsorted)) % 0.50/0.95 (define @t475 () (= @t14 @t474)) % 0.50/0.95 (define @t476 () (not (= (tptp.c_Set_Oinsert @t14 @t20 @t1) (tptp.c_Set_Oinsert @t73 (tptp.c_Set_Oinsert @t474 @t13 @t1) @t1)))) % 0.50/0.95 (define @t477 () (@list @t14 @t18 @t1 @t73 @t474)) % 0.50/0.95 (define @t478 () (= @t18 @t73)) % 0.50/0.95 (define @t479 () (= @t18 @t474)) % 0.50/0.95 (define @t480 () (tptp.c_SetInterval_Oord__class_OlessThan @t118 @t1)) % 0.50/0.95 (define @t481 () (tptp.c_SetInterval_Oord__class_OatLeast @t21 @t1)) % 0.50/0.95 (define @t482 () (tptp.c_SetInterval_Oord__class_OatLeast @t22 @t1)) % 0.50/0.95 (define @t483 () (tptp.c_Finite__Set_Ofinite @t178 @t1)) % 0.50/0.95 (define @t484 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t18 @t1)) % 0.50/0.95 (define @t485 () (= @t13 @t484)) % 0.50/0.95 (define @t486 () (@var "V_G_H" $$unsorted)) % 0.50/0.95 (define @t487 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t486 @t197 @t1))) % 0.50/0.95 (define @t488 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 @t197 @t1)) % 0.50/0.95 (define @t489 () (@list @t199 @t197 @t1 @t486)) % 0.50/0.95 (define @t490 () (@var "T_d" $$unsorted)) % 0.50/0.95 (define @t491 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t25 @t1) @t25)) % 0.50/0.95 (define @t492 () (tptp.c_Finite__Set_Ofinite @t315 @t1)) % 0.50/0.95 (define @t493 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t316 tptp.tc_bool))) % 0.50/0.95 (define @t494 () (= @t484 @t13)) % 0.50/0.95 (define @t495 () (tptp.c_SetInterval_Oord__class_OatMost @t21 @t1)) % 0.50/0.95 (define @t496 () (tptp.c_SetInterval_Oord__class_OatMost @t22 @t1)) % 0.50/0.95 (define @t497 () (@var "T_e" $$unsorted)) % 0.50/0.95 (define @t498 () (@var "V_g_H" $$unsorted)) % 0.50/0.95 (define @t499 () (@var "V_f_H" $$unsorted)) % 0.50/0.95 (define @t500 () (tptp.c_Set_Oinsert @t14 @t6 @t59)) % 0.50/0.95 (define @t501 () (tptp.hBOOL (tptp.hAPP @t207 @t22))) % 0.50/0.95 (define @t502 () (tptp.hBOOL (tptp.hAPP @t3 @t62))) % 0.50/0.95 (define @t503 () (tptp.c_Set_Oimage @t145 @t193 @t1 @t59)) % 0.50/0.95 (define @t504 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t3 @t6 @t60 @t59 @t1)) % 0.50/0.95 (define @t505 () (tptp.c_lessequals @t124 @t6 @t2)) % 0.50/0.95 (define @t506 () (not (tptp.c_lessequals @t6 @t124 @t2))) % 0.50/0.95 (define @t507 () (tptp.c_lessequals @t128 @t211 @t99)) % 0.50/0.95 (define @t508 () (tptp.c_Set_Oimage @t60 @t6 @t59 @t1)) % 0.50/0.95 (define @t509 () (= @t3 @t104)) % 0.50/0.95 (define @t510 () (@var "V_r" $$unsorted)) % 0.50/0.95 (define @t511 () (tptp.c_Set_Oimage @t60 @t104 @t59 @t1)) % 0.50/0.95 (define @t512 () (tptp.c_in @t62 @t124 @t1)) % 0.50/0.95 (define @t513 () (not (tptp.c_in @t22 @t3 @t59))) % 0.50/0.95 (define @t514 () (@list @t22 @t3 @t59 @t60 @t1)) % 0.50/0.95 (define @t515 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.50/0.95 (define @t516 () (not tptp.c_Com_OWT__bodies)) % 0.50/0.95 (define @t517 () (@var "V_s1" $$unsorted)) % 0.50/0.95 (define @t518 () (@var "V_s0" $$unsorted)) % 0.50/0.95 (define @t519 () (@var "V_N" $$unsorted)) % 0.50/0.95 (define @t520 () (@var "V_M" $$unsorted)) % 0.50/0.95 (define @t521 () (not (tptp.c_lessequals @t520 @t519 @t2))) % 0.50/0.95 (define @t522 () (= @t520 @t13)) % 0.50/0.95 (define @t523 () (not (tptp.c_Finite__Set_Ofinite @t519 @t1))) % 0.50/0.95 (define @t524 () (tptp.c_Finite__Set_Ofinite @t6 @t59)) % 0.50/0.95 (define @t525 () (@var "V_ts_H" $$unsorted)) % 0.50/0.95 (define @t526 () (tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 @t60 @t145 @t1 @t59)) % 0.50/0.95 (define @t527 () (tptp.c_lessequals @t60 @t145 (tptp.tc_fun @t1 @t59))) % 0.50/0.95 (define @t528 () (not (tptp.class_HOL_Oord @t59))) % 0.50/0.95 (define @t529 () (@list @t59 @t60 @t145 @t1)) % 0.50/0.95 (define @t530 () (tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 @t60 @t145 @t1 @t59)) % 0.50/0.95 (define @t531 () (tptp.c_lessequals @t482 @t481 @t2)) % 0.50/0.95 (define @t532 () (tptp.c_lessequals @t484 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t73 @t474 @t1) @t2)) % 0.50/0.95 (define @t533 () (@list @t1 @t14 @t18 @t73 @t474)) % 0.50/0.95 (define @t534 () (not @t532)) % 0.50/0.95 (define @t535 () (tptp.c_lessequals @t73 @t14 @t1)) % 0.50/0.95 (define @t536 () (@list @t1 @t73 @t14 @t18 @t474)) % 0.50/0.95 (define @t537 () (tptp.c_lessequals @t18 @t474 @t1)) % 0.50/0.95 (define @t538 () (@list @t1 @t18 @t474 @t14 @t73)) % 0.50/0.95 (define @t539 () (tptp.c_lessequals @t496 @t495 @t2)) % 0.50/0.95 (define @t540 () (tptp.c_lessequals @t319 @t318 @t2)) % 0.50/0.95 (define @t541 () (tptp.c_lessequals @t48 @t47 @t2)) % 0.50/0.95 (define @t542 () (not (tptp.c_lessequals @t465 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t73 @t474 @t1) @t2))) % 0.50/0.95 (define @t543 () (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 @t3 @t6 @t60 @t59 @t1)) % 0.50/0.95 (define @t544 () (@list @t3 @t6 @t60 @t59 @t1)) % 0.50/0.95 (define @t545 () (@list @t6 @t60 @t3 @t59 @t1)) % 0.50/0.95 (define @t546 () (@var "V_Procs" $$unsorted)) % 0.50/0.95 (define @t547 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB @t301 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom @t296 tptp.tc_Com_Opname)) % 0.50/0.95 (define @t548 () (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t296 tptp.tc_Com_Opname) @t546 tptp.tc_Com_Opname @t296)) % 0.50/0.95 (define @t549 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t3 @t6 @t60 @t59 @t1)) % 0.50/0.95 (define @t550 () (tptp.c_Set_Oimage @t60 @t3 @t1 @t1)) % 0.50/0.95 (define @t551 () (tptp.c_Fun_Oinj__on @t60 @t3 @t1 @t1)) % 0.50/0.95 (define @t552 () (@list @t60 @t3 @t1)) % 0.50/0.95 (define @t553 () (tptp.c_Finite__Set_Ofinite @t515 tptp.tc_Com_Opname)) % 0.50/0.95 (define @t554 () (@var "V_Q" $$unsorted)) % 0.50/0.95 (define @t555 () (not (tptp.c_lessequals @t110 @t554 @t2))) % 0.50/0.95 (define @t556 () (tptp.hBOOL (tptp.hAPP @t554 @t22))) % 0.50/0.95 (define @t557 () (@list @t554 @t22 @t110 @t1)) % 0.50/0.95 (define @t558 () (tptp.c_lessequals @t22 @t22 @t1)) % 0.50/0.95 (define @t559 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.50/0.95 (define @t560 () (forall @t248 (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t144 @t141 @t1 @t59) @t59) @t143))) % 0.50/0.95 (define @t561 () (@var "V_R" $$unsorted)) % 0.50/0.95 (define @t562 () (tptp.c_Set_Oimage @t547 @t515 tptp.tc_Com_Opname @t296)) % 0.50/0.95 (define @t563 () (tptp.c_Finite__Set_Ofinite @t562 @t296)) % 0.50/0.95 (define @t564 () (@var "T_1" $$unsorted)) % 0.50/0.95 (define @t565 () (@var "T_2" $$unsorted)) % 0.50/0.95 (define @t566 () (tptp.tc_fun @t565 @t564)) % 0.50/0.95 (define @t567 () (@list @t565 @t564)) % 0.50/0.95 (define @t568 () (not (tptp.class_Lattices_Olattice @t564))) % 0.50/0.95 (define @t569 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t564))) % 0.50/0.95 (define @t570 () (not @t553)) % 0.50/0.95 (define @t571 () (or @t563 @t570)) % 0.50/0.95 (define @t572 () (not @t571)) % 0.50/0.95 (define @t573 () (@list true false)) % 0.50/0.95 (assume @p1 (forall @t12 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t10 @t2) @t9 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t7 @t2) @t5 @t2)))) % 0.50/0.95 (assume @p2 (forall @t17 (or @t16 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t14 @t1) @t15)))) % 0.50/0.95 (assume @p3 (forall (@list @t14 @t1 @t18) (or (not (= @t15 @t20)) @t19))) % 0.50/0.95 (assume @p4 (forall @t29 (or @t28 (not (= @t27 @t26)) (not (= @t25 @t24)) (= @t23 @t21)))) % 0.50/0.95 (assume @p5 (forall @t33 (= @t32 @t30))) % 0.50/0.95 (assume @p6 (forall @t38 (or @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t36 @t2) @t35)))) % 0.50/0.95 (assume @p7 (forall @t45 (or @t44 (tptp.c_lessequals @t43 @t41 @t1)))) % 0.50/0.95 (assume @p8 (forall @t29 (or @t37 (not (= @t48 @t47)) @t46))) % 0.50/0.95 (assume @p9 (forall @t53 (or (= @t52 @t6) @t50))) % 0.50/0.95 (assume @p10 (forall @t29 (or @t44 @t55))) % 0.50/0.95 (assume @p11 (forall @t29 (or @t56 @t55))) % 0.50/0.95 (assume @p12 (forall @t53 (= @t11 @t57))) % 0.50/0.95 (assume @p13 (forall (@list @t1 @t58) (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatMost @t58 @t1) (tptp.c_SetInterval_Oord__class_OatLeast @t58 @t1) @t2) (tptp.c_Set_Oinsert @t58 @t13 @t1))))) % 0.50/0.95 (assume @p14 (forall @t63 (or (not (= @t62 (tptp.c_Option_Ooption_OSome @t21 @t1))) (= (tptp.c_Set_Oinsert @t22 @t61 @t59) @t61)))) % 0.50/0.95 (assume @p15 (forall @t70 (or @t69 @t68 @t46 @t66 @t65))) % 0.50/0.95 (assume @p16 (forall (@list @t60 @t22 @t71 @t3 @t1 @t59) (or (not (= @t62 (tptp.hAPP @t60 @t71))) (not (tptp.c_in @t71 @t3 @t1)) @t65 @t68 @t72))) % 0.50/0.95 (assume @p17 (forall @t70 (or @t69 @t66 @t65 @t68 @t46))) % 0.50/0.95 (assume @p18 (forall @t70 (or @t69 @t66 @t65 @t46 @t68))) % 0.50/0.95 (assume @p19 (forall @t77 (or @t76 @t75))) % 0.50/0.95 (assume @p20 (forall @t79 (or @t78 @t75))) % 0.50/0.95 (assume @p21 (forall @t45 (or @t44 @t81))) % 0.50/0.95 (assume @p22 (forall @t45 (or @t44 @t83))) % 0.50/0.95 (assume @p23 (forall @t45 (or @t84 @t83))) % 0.50/0.95 (assume @p24 (forall @t45 (or @t84 @t81))) % 0.50/0.95 (assume @p25 (forall @t12 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t4 @t2) @t85))) % 0.50/0.95 (assume @p26 (forall @t87 (= @t85 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t86 @t2)))) % 0.50/0.95 (assume @p27 (forall @t88 (tptp.c_Fun_Oinj__on @t60 @t13 @t1 @t59))) % 0.50/0.95 (assume @p28 (forall @t29 (or @t28 (= @t90 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t89 @t1))))) % 0.50/0.95 (assume @p29 (forall @t53 (= @t92 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t91 @t2)))) % 0.50/0.95 (assume @p30 (forall @t17 (or @t37 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t15 @t1) @t14)))) % 0.50/0.95 (assume @p31 (forall (@list @t1 @t22 @t94 @t93) (or @t97 (not (= @t96 @t95)) (= @t94 @t93)))) % 0.50/0.95 (assume @p32 (forall (@list @t1 @t71 @t21 @t22) (or @t97 (not (= (tptp.c_HOL_Ominus__class_Ominus @t71 @t21 @t1) @t96)) (= @t71 @t21)))) % 0.50/0.95 (assume @p33 (forall (@list @t71 @t22 @t1) (= (tptp.c_Set_Oinsert @t71 @t98 @t1) (tptp.c_Set_Oinsert @t22 (tptp.c_Set_Oinsert @t71 @t13 @t1) @t1)))) % 0.50/0.95 (assume @p34 (forall (@list @t60 @t22 @t59 @t1) (tptp.c_in @t62 @t101 @t1))) % 0.50/0.95 (assume @p35 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t92 @t6 @t2) @t92))) % 0.50/0.95 (assume @p36 (forall @t107 (or @t106 @t103))) % 0.50/0.95 (assume @p37 (forall @t107 (or (not @t106) @t109 @t68 @t102))) % 0.50/0.95 (assume @p38 (forall (@list @t1 @t110) (= (tptp.hAPP @t111 @t110) @t110))) % 0.50/0.95 (assume @p39 (forall (@list @t112 @t22 @t1) (or @t114 (not @t113)))) % 0.50/0.95 (assume @p40 (forall (@list @t22 @t112 @t1) (or @t113 (not @t114)))) % 0.50/0.95 (assume @p41 (forall (@list @t22 @t21 @t3 @t1) (= (tptp.c_Set_Oinsert @t22 @t116 @t1) (tptp.c_Set_Oinsert @t21 @t115 @t1)))) % 0.50/0.95 (assume @p42 (forall @t123 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t121 @t2) @t120) @t119))) % 0.50/0.95 (assume @p43 (forall (@list @t3 @t60 @t59 @t1 @t22) (or (tptp.c_in (tptp.hAPP @t125 @t22) @t3 @t59) (not (tptp.c_in @t22 @t124 @t1))))) % 0.50/0.95 (assume @p44 (forall @t127 (tptp.c_Fun_Oinj__on @t126 @t3 @t1 @t1))) % 0.50/0.95 (assume @p45 (forall (@list @t3 @t60 @t1 @t59 @t22 @t21) (or (not (= (tptp.hAPP @t129 @t22) (tptp.hAPP @t129 @t21))) @t46 (not (tptp.c_in @t21 @t128 @t59)) (not (tptp.c_in @t22 @t128 @t59))))) % 0.50/0.95 (assume @p46 (forall (@list @t22 @t6 @t1) (tptp.c_in @t22 @t130 @t1))) % 0.50/0.95 (assume @p47 (forall (@list @t14 @t6 @t1) (tptp.c_in @t14 @t131 @t1))) % 0.50/0.95 (assume @p48 (forall @t132 (tptp.c_in @t22 @t115 @t1))) % 0.50/0.95 (assume @p49 (forall @t136 (or @t135 @t134 @t68))) % 0.50/0.95 (assume @p50 (forall @t138 (= (tptp.c_Hilbert__Choice_Oinv__into @t137 @t126 @t1 @t1) @t126))) % 0.50/0.95 (assume @p51 (forall @t139 (or @t84 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t22 @t1) @t22)))) % 0.50/0.95 (assume @p52 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t2) @t3))) % 0.50/0.95 (assume @p53 (forall (@list @t144 @t141 @t59 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t144 @t141 @t59 @t1) @t59) (not (tptp.c_Fun_Oinj__on @t144 @t100 @t59 @t1)) @t143))) % 0.50/0.95 (assume @p54 (forall (@list @t59 @t145 @t1) (= (tptp.c_Fun_Ocomp @t146 @t145 @t59 @t59 @t1) @t145))) % 0.50/0.95 (assume @p55 (forall @t88 (= (tptp.c_Fun_Ocomp @t60 @t126 @t1 @t59 @t1) @t60))) % 0.50/0.95 (assume @p56 (forall @t88 (or @t150 @t148))) % 0.50/0.95 (assume @p57 (forall @t88 (or (not @t150) @t147))) % 0.50/0.95 (assume @p58 (forall @t152 (or @t151 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t22 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t22 @t1) @t1))))) % 0.50/0.95 (assume @p59 (forall @t45 (or @t151 (= @t41 @t43)))) % 0.50/0.95 (assume @p60 (forall @t87 (= @t154 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t153 @t2)))) % 0.50/0.95 (assume @p61 (forall @t155 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t3 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t9 @t2)))) % 0.50/0.95 (assume @p62 (forall (@list @t145 @t60 @t3 @t1 @t156 @t59) (or (tptp.c_Fun_Oinj__on @t145 (tptp.c_Set_Oimage @t60 @t3 @t1 @t156) @t156 @t59) (not (tptp.c_Fun_Oinj__on @t157 @t3 @t1 @t59))))) % 0.50/0.95 (assume @p63 (forall @t53 (or @t159 (= @t92 @t3)))) % 0.50/0.95 (assume @p64 (forall (@list @t18 @t14 @t1) (or (= @t18 @t14) (not (tptp.c_in @t18 @t15 @t1))))) % 0.50/0.95 (assume @p65 (forall @t123 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t161 @t160 @t2) @t122) @t119))) % 0.50/0.95 (assume @p66 (forall (@list @t3 @t22 @t1 @t6) (or @t165 @t65 @t163))) % 0.50/0.95 (assume @p67 (forall @t167 (or @t162 @t65 @t166))) % 0.50/0.95 (assume @p68 (forall (@list @t60 @t3 @t1 @t59 @t14) (or @t67 @t168))) % 0.50/0.95 (assume @p69 (forall @t172 (or (= @t171 @t92) @t170))) % 0.50/0.95 (assume @p70 (forall @t176 (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t175 @t174 @t2) @t13)))) % 0.50/0.95 (assume @p71 (forall @t38 (or @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t35 @t2) @t36)))) % 0.50/0.95 (assume @p72 (forall @t123 (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t161 @t177 @t2) @t13)))) % 0.50/0.95 (assume @p73 (forall @t181 (or @t180 (not @t179)))) % 0.50/0.95 (assume @p74 (forall @t181 (or @t179 @t76))) % 0.50/0.95 (assume @p75 (forall @t139 (or @t28 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t23 @t1) @t24)))) % 0.50/0.95 (assume @p76 (forall @t139 (or @t28 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23 @t22 @t1) @t24)))) % 0.50/0.95 (assume @p77 (forall @t140 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t178 @t2) @t13))) % 0.50/0.95 (assume @p78 (forall @t140 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t178 @t3 @t2) @t13))) % 0.50/0.95 (assume @p79 (forall @t107 (or (tptp.c_Fun_Oinj__on @t60 @t92 @t1 @t59) @t68))) % 0.50/0.95 (assume @p80 (forall (@list @t3 @t60 @t145 @t1 @t59 @t156 @t22) (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t3 @t183 @t156 @t59) @t22) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_Hilbert__Choice_Oinv__into @t3 @t145 @t156 @t1) (tptp.c_Hilbert__Choice_Oinv__into @t182 @t60 @t1 @t59) @t1 @t156 @t59) @t22)) (not (tptp.c_in @t22 (tptp.c_Set_Oimage @t60 @t182 @t1 @t59) @t59)) (not (tptp.c_Fun_Oinj__on @t145 @t3 @t156 @t1)) (not (tptp.c_Fun_Oinj__on @t60 @t182 @t1 @t59))))) % 0.50/0.95 (assume @p81 (forall @t188 (or (= @t187 @t186) @t185))) % 0.50/0.95 (assume @p82 (forall @t192 (or @t191 @t189))) % 0.50/0.95 (assume @p83 (forall @t138 (tptp.c_Fun_Obij @t126 @t1 @t1))) % 0.50/0.95 (assume @p84 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t178 @t3 @t2) @t137))) % 0.50/0.95 (assume @p85 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t178 @t2) @t137))) % 0.50/0.95 (assume @p86 (forall @t139 (or @t28 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t22 @t1) @t26)))) % 0.50/0.95 (assume @p87 (forall @t139 (or @t28 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t23 @t1) @t26)))) % 0.50/0.95 (assume @p88 (forall (@list @t14 @t60 @t1 @t193) (or (tptp.c_in @t14 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t60 @t2) @t1) (not (tptp.c_lessequals @t193 @t195 @t2)) @t194))) % 0.50/0.95 (assume @p89 (forall (@list @t22 @t71 @t1) (or (not (= (tptp.c_Set_Oinsert @t22 @t71 @t1) @t13)) (tptp.c_in @t22 @t71 @t1)))) % 0.50/0.95 (assume @p90 (forall (@list @t199 @t198 @t1 @t197) (or @t204 @t201))) % 0.50/0.95 (assume @p91 (forall @t206 (or @t205 @t78 @t180))) % 0.50/0.95 (assume @p92 (forall @t208 (= (tptp.c_Set_Ovimage @t60 (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t99) @t1 @t59) (tptp.c_HOL_Ouminus__class_Ouminus @t207 @t2)))) % 0.50/0.95 (assume @p93 (forall (@list @t60 @t1 @t59 @t21) (or (= (tptp.hAPP @t60 (tptp.hAPP @t149 @t21)) @t21) @t148))) % 0.50/0.95 (assume @p94 (forall @t88 (or @t184 @t148 @t210))) % 0.50/0.95 (assume @p95 (forall @t107 (or @t212 @t210))) % 0.50/0.95 (assume @p96 (forall @t215 (or @t169 @t214))) % 0.50/0.95 (assume @p97 (forall (@list @t21 @t3 @t1 @t22) (or @t218 @t217))) % 0.50/0.95 (assume @p98 (forall @t219 (or (= (tptp.c_Set_Oinsert @t62 @t128 @t59) @t128) @t65))) % 0.50/0.95 (assume @p99 (forall @t167 (or @t162 @t50 @t64))) % 0.50/0.95 (assume @p100 (forall @t220 (or @t49 @t64 @t163))) % 0.50/0.95 (assume @p101 (forall @t220 (or @t49 @t163 @t64))) % 0.50/0.95 (assume @p102 (forall @t172 (or (not (= @t115 @t130)) @t169 @t64 @t221))) % 0.50/0.95 (assume @p103 (forall @t224 (or (= @t223 @t11) @t222))) % 0.50/0.95 (assume @p104 (forall @t227 (or (= @t226 @t10) @t225))) % 0.50/0.95 (assume @p105 (forall @t53 (or @t228 (= @t6 @t13)))) % 0.50/0.95 (assume @p106 (forall @t53 (or @t228 @t229))) % 0.50/0.95 (assume @p107 (forall @t232 (or @t231 @t230 (= @t3 @t24)))) % 0.50/0.95 (assume @p108 (forall @t232 (or @t231 @t230 (= @t6 @t24)))) % 0.50/0.95 (assume @p109 (forall (@list @t14 @t18 @t156 @t59 @t1 @t73 @t233) (or (not (= @t235 (tptp.c_Fun_Ocomp @t146 @t73 @t59 @t59 @t1))) (= @t234 (tptp.hAPP @t73 @t233))))) % 0.50/0.95 (assume @p110 (forall @t140 (or (not (= @t238 (tptp.c_Finite__Set_Ocard @t137 @t1))) @t237 (= @t3 @t137)))) % 0.50/0.95 (assume @p111 (forall @t240 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t3 @t2) @t239))) % 0.50/0.95 (assume @p112 (forall @t53 (= @t52 @t8))) % 0.50/0.95 (assume @p113 (forall @t188 (or (= @t207 @t241) @t185))) % 0.50/0.95 (assume @p114 (forall (@list @t3 @t60 @t1 @t59 @t6) (or (tptp.c_Fun_Obij__betw @t129 @t6 @t3 @t59 @t1) @t242))) % 0.50/0.95 (assume @p115 (forall @t127 (= (tptp.c_Set_Ovimage @t126 @t3 @t1 @t1) @t3))) % 0.50/0.95 (assume @p116 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t244 @t243 @t2)))) % 0.50/0.95 (assume @p117 (forall @t248 (or @t247 (not @t246) @t245))) % 0.50/0.95 (assume @p118 (forall @t250 (or @t246 @t249 @t245))) % 0.50/0.95 (assume @p119 (forall (@list @t145 @t60 @t156 @t59 @t1 @t22) (= (tptp.c_Set_Ovimage @t157 @t22 @t1 @t59) (tptp.c_Set_Ovimage @t60 (tptp.c_Set_Ovimage @t145 @t22 @t156 @t59) @t1 @t156)))) % 0.50/0.95 (assume @p120 (forall (@list @t14 @t60 @t6 @t1 @t59) (or @t253 (not @t251)))) % 0.50/0.95 (assume @p121 (forall (@list @t14 @t60 @t3 @t59 @t1) (or (tptp.c_in @t14 @t254 @t59) (not (tptp.c_in @t133 @t3 @t1))))) % 0.50/0.95 (assume @p122 (forall (@list @t14 @t60 @t6 @t59 @t1) (or (tptp.c_in @t14 @t255 @t59) (not (tptp.c_in @t133 @t6 @t1))))) % 0.50/0.95 (assume @p123 (forall @t256 (or @t251 (not @t253)))) % 0.50/0.95 (assume @p124 (forall (@list @t60 @t14 @t3 @t59 @t1) (or (tptp.c_in @t133 @t3 @t59) (not (tptp.c_in @t14 @t207 @t1))))) % 0.50/0.95 (assume @p125 (forall @t262 (or @t261 (= @t260 (tptp.c_HOL_Ouminus__class_Ouminus @t259 @t1))))) % 0.50/0.95 (assume @p126 (forall @t53 (= @t8 @t239))) % 0.50/0.95 (assume @p127 (forall @t29 (or @t84 @t264))) % 0.50/0.95 (assume @p128 (forall @t29 (or @t44 @t264))) % 0.50/0.95 (assume @p129 (forall (@list @t266 @t265) (or (not (= (tptp.hAPP tptp.c_Com_Ocom_OBODY @t266) (tptp.hAPP tptp.c_Com_Ocom_OBODY @t265))) (= @t266 @t265)))) % 0.50/0.95 (assume @p130 (forall @t53 (= (tptp.c_HOL_Ouminus__class_Ouminus @t11 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t178 @t91 @t2)))) % 0.50/0.95 (assume @p131 (forall @t29 (or @t28 (= (tptp.c_HOL_Ouminus__class_Ouminus @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t89 @t1))))) % 0.50/0.95 (assume @p132 (forall @t262 (or @t261 (= (tptp.c_HOL_Ouminus__class_Ouminus @t260 @t1) @t259)))) % 0.50/0.95 (assume @p133 (forall @t33 (or (= @t30 @t3) @t267))) % 0.50/0.95 (assume @p134 (forall @t33 (= @t30 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t3 @t2)))) % 0.50/0.95 (assume @p135 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t8 @t2) @t8))) % 0.50/0.95 (assume @p136 (forall @t29 (or @t84 @t268))) % 0.50/0.95 (assume @p137 (forall @t29 (or @t44 @t268))) % 0.50/0.95 (assume @p138 (forall (@list @t1 @t60 @t59 @t193) (or (= (tptp.c_Set_Oimage @t149 (tptp.c_Set_Oimage @t60 @t193 @t1 @t59) @t59 @t1) @t193) @t210))) % 0.50/0.95 (assume @p139 (forall (@list @t1 @t60 @t59 @t3) (or (= (tptp.c_Set_Oimage @t149 @t128 @t59 @t1) @t3) @t210))) % 0.50/0.95 (assume @p140 (forall @t138 (tptp.c_Fun_Osurj @t126 @t1 @t1))) % 0.50/0.95 (assume @p141 (forall (@list @t145 @t60 @t59 @t156 @t1 @t3) (or (tptp.c_Fun_Oinj__on @t269 @t3 @t1 @t156) (not (tptp.c_Fun_Oinj__on @t145 @t128 @t59 @t156)) @t68))) % 0.50/0.95 (assume @p142 (forall @t53 (= (tptp.c_HOL_Ouminus__class_Ouminus @t8 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t178 @t91 @t2)))) % 0.50/0.95 (assume @p143 (forall @t29 (or @t28 (= (tptp.c_HOL_Ouminus__class_Ouminus @t27 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23 @t89 @t1))))) % 0.50/0.95 (assume @p144 (forall @t262 (or @t261 (= (tptp.c_HOL_Ouminus__class_Ouminus @t271 @t1) @t270)))) % 0.50/0.95 (assume @p145 (forall @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t51 @t2) @t13))) % 0.50/0.95 (assume @p146 (forall @t273 (= (tptp.c_Set_Ovimage @t60 @t272 @t1 @t59) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t207 @t252 @t2)))) % 0.50/0.95 (assume @p147 (forall @t123 (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t121 @t2) @t13)))) % 0.50/0.95 (assume @p148 (forall @t136 (or (not @t134) @t168))) % 0.50/0.95 (assume @p149 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t91 @t2) @t11))) % 0.50/0.95 (assume @p150 (forall @t38 (or @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t274 @t36 @t2) @t274)))) % 0.50/0.95 (assume @p151 (forall @t172 (or (= @t171 (tptp.c_Set_Oinsert @t22 @t92 @t1)) @t169))) % 0.50/0.95 (assume @p152 (forall @t167 (or @t162 @t50 @t166))) % 0.50/0.95 (assume @p153 (forall @t278 (or @t277 @t276))) % 0.50/0.95 (assume @p154 (forall @t167 (or @t216 @t276))) % 0.50/0.95 (assume @p155 (forall @t281 (or @t280 (not @t279) @t237))) % 0.50/0.95 (assume @p156 (forall @t281 (or @t279 (not @t280) @t237))) % 0.50/0.95 (assume @p157 (forall @t282 (or @t108 @t103))) % 0.50/0.95 (assume @p158 (forall @t283 (or @t67 @t103))) % 0.50/0.95 (assume @p159 (forall @t53 (or @t158 (not @t284)))) % 0.50/0.95 (assume @p160 (forall @t53 (or @t159 @t284))) % 0.50/0.95 (assume @p161 (forall @t282 (or @t287 @t286 @t210))) % 0.50/0.95 (assume @p162 (forall @t288 (or (tptp.c_Fun_Oinj__on @t149 @t100 @t59 @t1) @t148))) % 0.50/0.95 (assume @p163 (forall @t132 (or (= (tptp.c_HOL_Ominus__class_Ominus @t115 @t98 @t2) @t3) @t64))) % 0.50/0.95 (assume @p164 (forall @t139 (= (tptp.hAPP @t126 @t22) @t22))) % 0.50/0.95 (assume @p165 (forall @t12 (or @t290 (not @t289)))) % 0.50/0.95 (assume @p166 (forall @t87 (or @t289 (not @t290)))) % 0.50/0.95 (assume @p167 (forall @t283 (or @t67 @t242))) % 0.50/0.95 (assume @p168 (forall @t140 (= (tptp.c_HOL_Ouminus__class_Ouminus @t178 @t2) @t3))) % 0.50/0.95 (assume @p169 (forall @t17 (or @t292 (= @t291 @t14)))) % 0.50/0.95 (assume @p170 (forall @t139 (or @t28 (= (tptp.c_HOL_Ouminus__class_Ouminus @t23 @t1) @t22)))) % 0.50/0.95 (assume @p171 (forall @t294 (or @t292 (= @t18 @t293)))) % 0.50/0.95 (assume @p172 (forall @t17 (or @t292 (= @t14 @t291)))) % 0.50/0.95 (assume @p173 (forall @t294 (or @t292 (= @t293 @t18)))) % 0.50/0.95 (assume @p174 (forall @t262 (or @t97 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t14 @t18 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t18 @t14 @t1))))) % 0.50/0.95 (assume @p175 (forall @t273 (= (tptp.c_Set_Ovimage @t60 @t295 @t1 @t59) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t207 @t252 @t2)))) % 0.50/0.95 (assume @p176 (forall (@list @t199 @t299) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 (tptp.c_Set_Oinsert @t304 @t298 @t296) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t304 @t199 @t296) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t302) @t298 @t296) tptp.tc_Com_Ostate))))) % 0.50/0.95 (assume @p177 (forall @t309 (or @t308 @t307 @t306 (not @t305)))) % 0.50/0.95 (assume @p178 (forall @t309 (or @t308 @t307 @t305 @t310))) % 0.50/0.95 (assume @p179 (forall @t227 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t131 @t4 @t2) (tptp.c_Set_Oinsert @t14 @t7 @t1)))) % 0.50/0.95 (assume @p180 (forall @t224 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t131 @t2) (tptp.c_Set_Oinsert @t14 @t8 @t1)))) % 0.50/0.95 (assume @p181 (forall @t311 (or (tptp.c_Fun_Obij @t269 @t1 @t156) (not (tptp.c_Fun_Obij @t145 @t59 @t156)) @t185))) % 0.50/0.95 (assume @p182 (forall @t273 (= (tptp.c_Set_Ovimage @t60 @t312 @t1 @t59) (tptp.c_HOL_Ominus__class_Ominus @t207 @t252 @t2)))) % 0.50/0.95 (assume @p183 (forall @t188 (or (= (tptp.c_Set_Ovimage @t60 @t128 @t1 @t59) @t3) @t210))) % 0.50/0.95 (assume @p184 (forall @t313 (= (tptp.c_Set_Ovimage @t60 @t100 @t1 @t59) @t137))) % 0.50/0.95 (assume @p185 (forall @t88 (or @t209 @t185))) % 0.50/0.95 (assume @p186 (forall @t139 (or @t231 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t26 @t1) @t26)))) % 0.50/0.95 (assume @p187 (forall @t139 (or @t231 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t22 @t1) @t26)))) % 0.50/0.95 (assume @p188 (forall @t314 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t6 @t2) @t137))) % 0.50/0.95 (assume @p189 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t137 @t2) @t137))) % 0.50/0.95 (assume @p190 (forall @t53 (= (tptp.c_HOL_Ouminus__class_Ouminus @t92 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t178 @t6 @t2)))) % 0.50/0.95 (assume @p191 (forall @t224 (= @t315 (tptp.c_HOL_Ominus__class_Ominus @t92 @t15 @t2)))) % 0.50/0.95 (assume @p192 (forall @t224 (= @t315 (tptp.c_HOL_Ominus__class_Ominus @t31 @t6 @t2)))) % 0.50/0.95 (assume @p193 (forall @t33 (not (= @t30 @t13)))) % 0.50/0.95 (assume @p194 (forall @t127 (tptp.c_Fun_Oinj__on @t111 @t3 @t1 @t1))) % 0.50/0.95 (assume @p195 (forall (@list @t14 @t60 @t1 @t316) (tptp.c_in @t14 (tptp.c_Set_Ovimage @t60 (tptp.c_Set_Oinsert @t133 @t13 @t1) @t316 @t1) @t316))) % 0.50/0.95 (assume @p196 (forall (@list @t14 @t3 @t1 @t6) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t131 @t2) @t317))) % 0.50/0.95 (assume @p197 (forall @t311 (or (tptp.c_Fun_Osurj @t269 @t1 @t156) (not (tptp.c_Fun_Osurj @t145 @t59 @t156)) @t148))) % 0.50/0.95 (assume @p198 (forall @t29 (or @t37 (not (= @t319 @t318)) @t46))) % 0.50/0.95 (assume @p199 (forall @t132 (= (tptp.c_Set_Oinsert @t22 @t115 @t1) @t115))) % 0.50/0.95 (assume @p200 (forall @t88 (tptp.c_Map_Omap__le @t60 @t60 @t1 @t59))) % 0.50/0.95 (assume @p201 (forall (@list @t321 @t322 @t1 @t59 @t320) (or (tptp.c_Map_Omap__le @t321 @t322 @t1 @t59) (not (tptp.c_Map_Omap__le @t320 @t322 @t1 @t59)) (not (tptp.c_Map_Omap__le @t321 @t320 @t1 @t59))))) % 0.50/0.95 (assume @p202 (forall (@list @t3 @t22 @t21 @t1) (or @t216 (= @t21 @t22) (not @t218)))) % 0.50/0.95 (assume @p203 (forall @t138 (tptp.c_lessequals @t13 @t323 @t2))) % 0.50/0.95 (assume @p204 (forall @t77 (or @t76 @t324))) % 0.50/0.95 (assume @p205 (forall @t283 (or @t325 @t103 @t221))) % 0.50/0.95 (assume @p206 (forall (@list @t3 @t60 @t1 @t59 @t22) (or (= (tptp.hAPP @t129 @t62) @t22) @t65 @t68))) % 0.50/0.95 (assume @p207 (forall @t327 (or @t326 (not (tptp.c_Fun_Oinj__on @t60 @t3 @t316 @t1)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t3 @t60 @t316 @t1) @t62) @t22)))) % 0.50/0.95 (assume @p208 (forall @t79 (or @t328 @t324))) % 0.50/0.95 (assume @p209 (forall @t139 (or @t231 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t24 @t1) @t24)))) % 0.50/0.95 (assume @p210 (forall @t139 (or @t231 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t22 @t1) @t24)))) % 0.50/0.95 (assume @p211 (forall @t314 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t6 @t2) @t13))) % 0.50/0.95 (assume @p212 (forall @t140 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t13 @t2) @t13))) % 0.50/0.95 (assume @p213 (forall @t250 (or @t246 (not (tptp.c_Fun_Osurj @t144 @t1 @t59)) @t249))) % 0.50/0.95 (assume @p214 (forall (@list @t1 @t34 @t329) (or @t332 @t331 (not @t330)))) % 0.50/0.95 (assume @p215 (forall @t333 (or @t332 @t330 (not @t331)))) % 0.50/0.95 (assume @p216 (forall @t88 (or (= (tptp.c_Set_Oimage @t60 @t137 @t1 @t59) @t100) @t148))) % 0.50/0.95 (assume @p217 (forall (@list @t3 @t1 @t6 @t59 @t60) (or @t334 @t242))) % 0.50/0.95 (assume @p218 (forall @t340 (or @t339 @t337 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t336)) @t298 @t296) tptp.tc_Com_Ostate)) @t335))) % 0.50/0.95 (assume @p219 (forall (@list @t60 @t1 @t59 @t3) (or (= (tptp.c_Set_Oimage @t60 @t241 @t1 @t59) @t3) @t148))) % 0.50/0.95 (assume @p220 (forall (@list @t342 @t22 @t341 @t1 @t59) (or (= (tptp.hAPP @t342 @t22) (tptp.hAPP @t341 @t22)) (not (tptp.c_in @t22 (tptp.c_Map_Odom @t342 @t1 @t59) @t1)) (not (tptp.c_Map_Omap__le @t342 @t341 @t1 @t59))))) % 0.50/0.95 (assume @p221 (forall @t288 (or @t343 @t210))) % 0.50/0.95 (assume @p222 (forall @t288 (or (not @t343) @t209))) % 0.50/0.95 (assume @p223 (forall @t107 (or @t344 @t210))) % 0.50/0.95 (assume @p224 (forall @t12 (or (not @t346) @t345))) % 0.50/0.95 (assume @p225 (forall @t12 (or @t346 @t347))) % 0.50/0.95 (assume @p226 (forall @t348 (tptp.c_in @t22 @t137 @t1))) % 0.50/0.95 (assume @p227 (forall (@list @t14 @t1 @t349) (or (not (= (tptp.c_Option_Ooption_OSome @t14 @t1) (tptp.c_Option_Ooption_OSome @t349 @t1))) (= @t14 @t349)))) % 0.50/0.95 (assume @p228 (forall @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t13 @t2) @t3))) % 0.50/0.95 (assume @p229 (forall @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t2) @t13))) % 0.50/0.95 (assume @p230 (forall (@list @t60 @t145 @t59 @t1 @t156 @t22) (= @t352 @t351))) % 0.50/0.95 (assume @p231 (forall (@list @t14 @t18 @t233 @t156 @t59 @t1) (= @t234 (tptp.hAPP @t235 @t233)))) % 0.50/0.95 (assume @p232 (forall (@list @t173 @t14 @t18 @t1 @t59) (or (not (= (tptp.hAPP @t173 @t14) (tptp.c_Option_Ooption_OSome @t18 @t1))) (tptp.c_in @t14 (tptp.c_Map_Odom @t173 @t59 @t1) @t59)))) % 0.50/0.95 (assume @p233 (forall @t140 (= @t178 (tptp.c_HOL_Ominus__class_Ominus @t137 @t3 @t2)))) % 0.50/0.95 (assume @p234 (forall (@list @t14 @t3 @t1 @t60 @t59) (or @t222 (not @t353) @t210))) % 0.50/0.95 (assume @p235 (forall @t136 (or @t353 @t267 @t210))) % 0.50/0.95 (assume @p236 (forall @t188 (or (= (tptp.c_Set_Oimage @t60 @t207 @t1 @t59) @t3) @t148))) % 0.50/0.95 (assume @p237 (forall @t63 (or @t69 @t210 @t46))) % 0.50/0.95 (assume @p238 (forall @t278 (or @t277 @t216 (not @t354)))) % 0.50/0.95 (assume @p239 (forall @t220 (or @t354 @t355))) % 0.50/0.95 (assume @p240 (forall @t220 (or @t354 @t217))) % 0.50/0.95 (assume @p241 (forall @t79 (or @t78 @t76 (not @t356)))) % 0.50/0.95 (assume @p242 (forall @t358 (= (tptp.c_Set_Ovimage @t111 @t357 @t1 @t1) @t357))) % 0.50/0.95 (assume @p243 (forall @t361 (or (= (tptp.c_Finite__Set_Ocard @t164 @t1) @t238) @t64 @t360))) % 0.50/0.95 (assume @p244 (forall @t45 (or @t44 @t364))) % 0.50/0.95 (assume @p245 (forall @t45 (or @t44 @t365))) % 0.50/0.95 (assume @p246 (forall @t45 (or @t56 @t365))) % 0.50/0.95 (assume @p247 (forall @t45 (or @t56 @t364))) % 0.50/0.95 (assume @p248 (forall @t12 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t4 @t2) @t366))) % 0.50/0.95 (assume @p249 (forall @t87 (= @t366 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t153 @t2)))) % 0.50/0.95 (assume @p250 (forall @t176 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t175 @t174 @t2) @t161) @t368 @t367))) % 0.50/0.95 (assume @p251 (forall @t17 (or @t37 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t15 @t1) @t14)))) % 0.50/0.95 (assume @p252 (forall @t139 (or @t231 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t24 @t1) @t22)))) % 0.50/0.95 (assume @p253 (forall @t139 (or @t231 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t22 @t1) @t22)))) % 0.50/0.95 (assume @p254 (forall @t314 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t6 @t2) @t6))) % 0.50/0.95 (assume @p255 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t13 @t2) @t3))) % 0.50/0.95 (assume @p256 (forall @t127 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t3 @t2) @t13))) % 0.50/0.95 (assume @p257 (forall @t188 (or @t68 (tptp.c_Fun_Obij__betw @t60 @t3 @t128 @t1 @t59)))) % 0.50/0.95 (assume @p258 (forall @t283 (or @t325 @t210 @t221))) % 0.50/0.95 (assume @p259 (forall @t38 (or @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t370 @t2) @t369)))) % 0.50/0.95 (assume @p260 (forall @t232 (or @t231 @t371 (= @t6 @t26)))) % 0.50/0.95 (assume @p261 (forall @t232 (or @t231 @t371 (= @t3 @t26)))) % 0.50/0.95 (assume @p262 (forall (@list @t156 @t60 @t145 @t1 @t59) (or (= (tptp.c_Hilbert__Choice_Oinv__into @t372 @t183 @t156 @t59) (tptp.c_Fun_Ocomp (tptp.c_Hilbert__Choice_Oinv__into @t372 @t145 @t156 @t1) @t149 @t1 @t156 @t59)) (not (tptp.c_Fun_Obij @t145 @t156 @t1)) @t185))) % 0.50/0.95 (assume @p263 (forall @t176 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t175 @t373 @t2) @t122) @t368 @t367))) % 0.50/0.95 (assume @p264 (forall (@list @t199 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 @t203 @t1))) % 0.50/0.95 (assume @p265 (forall @t138 (or @t28 (= (tptp.c_HOL_Ouminus__class_Ouminus @t26 @t1) @t24)))) % 0.50/0.95 (assume @p266 (forall @t138 (= (tptp.c_HOL_Ouminus__class_Ouminus @t137 @t2) @t13))) % 0.50/0.95 (assume @p267 (forall @t333 (or @t332 @t375 (not @t374)))) % 0.50/0.95 (assume @p268 (forall @t333 (or @t332 @t374 (not @t375)))) % 0.50/0.95 (assume @p269 (forall @t139 (not (tptp.hBOOL (tptp.hAPP @t13 @t22))))) % 0.50/0.95 (assume @p270 (forall @t376 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t92 @t2) (tptp.c_HOL_Ominus__class_Ominus @t9 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t6 @t2) @t2)))) % 0.50/0.95 (assume @p271 (forall @t12 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t92 @t4 @t2) @t377))) % 0.50/0.95 (assume @p272 (forall @t138 (not (= @t137 @t13)))) % 0.50/0.95 (assume @p273 (forall @t88 (or @t147 @t185))) % 0.50/0.95 (assume @p274 (forall @t215 (or @t170 @t65 @t159))) % 0.50/0.95 (assume @p275 (forall @t139 (or @t231 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t26 @t1) @t22)))) % 0.50/0.95 (assume @p276 (forall @t139 (or @t231 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t22 @t1) @t22)))) % 0.50/0.95 (assume @p277 (forall @t314 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t6 @t2) @t6))) % 0.50/0.95 (assume @p278 (forall @t140 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t137 @t2) @t3))) % 0.50/0.95 (assume @p279 (forall (@list @t1 @t14 @t22 @t18) (or @t84 @t380 @t379))) % 0.50/0.95 (assume @p280 (forall (@list @t1 @t18 @t22 @t14) (or @t84 @t381 @t379))) % 0.50/0.95 (assume @p281 (forall @t385 (or @t84 @t384 @t383))) % 0.50/0.95 (assume @p282 (forall @t385 (or @t84 @t384 @t387))) % 0.50/0.95 (assume @p283 (forall @t391 (or @t84 @t390 @t389))) % 0.50/0.95 (assume @p284 (forall @t152 (or @t84 @t392 @t389))) % 0.50/0.95 (assume @p285 (forall (@list @t1 @t193 @t60) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1)) (tptp.c_lessequals @t193 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t60 @t1) @t1) (not (tptp.c_lessequals @t193 @t195 @t1))))) % 0.50/0.95 (assume @p286 (forall @t139 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t22 @t26 @t1)))) % 0.50/0.95 (assume @p287 (forall @t29 (or @t56 @t393))) % 0.50/0.95 (assume @p288 (forall @t29 (or @t56 @t394))) % 0.50/0.95 (assume @p289 (forall @t385 (or @t56 @t395 @t387 @t383))) % 0.50/0.95 (assume @p290 (forall @t45 (or @t56 @t399 @t398 @t397))) % 0.50/0.95 (assume @p291 (forall @t29 (or @t44 @t394))) % 0.50/0.95 (assume @p292 (forall @t29 (or @t44 @t393))) % 0.50/0.95 (assume @p293 (forall @t29 (or @t84 @t400 @t397))) % 0.50/0.95 (assume @p294 (forall @t29 (or @t84 (not @t400) @t396))) % 0.50/0.95 (assume @p295 (forall @t29 (or @t84 (= @t27 @t22) @t310))) % 0.50/0.95 (assume @p296 (forall @t139 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t24 @t22 @t1)))) % 0.50/0.95 (assume @p297 (forall @t404 (or @t308 @t403 @t402))) % 0.50/0.95 (assume @p298 (forall @t262 (or @t308 @t401 (not @t403)))) % 0.50/0.95 (assume @p299 (forall @t29 (or @t56 @t405 @t397))) % 0.50/0.95 (assume @p300 (forall @t29 (or @t56 (not @t405) @t396))) % 0.50/0.95 (assume @p301 (forall @t29 (or @t56 (= @t25 @t21) @t310))) % 0.50/0.95 (assume @p302 (forall @t408 (or @t84 @t378 @t407 @t406))) % 0.50/0.95 (assume @p303 (forall @t29 (or @t84 @t409))) % 0.50/0.95 (assume @p304 (forall @t411 (or @t84 @t410))) % 0.50/0.95 (assume @p305 (forall @t152 (or @t84 (tptp.c_lessequals @t40 @t22 @t1) (not @t412) @t310))) % 0.50/0.95 (assume @p306 (forall @t45 (or @t84 @t388 @t413 @t398))) % 0.50/0.95 (assume @p307 (forall @t411 (or @t44 @t410))) % 0.50/0.95 (assume @p308 (forall @t29 (or @t44 @t409))) % 0.50/0.95 (assume @p309 (forall @t385 (or @t56 @t382 @t414))) % 0.50/0.95 (assume @p310 (forall (@list @t1 @t22 @t18 @t14) (or @t56 @t386 @t414))) % 0.50/0.95 (assume @p311 (forall @t408 (or @t56 @t415 @t406))) % 0.50/0.95 (assume @p312 (forall @t408 (or @t56 @t415 @t407))) % 0.50/0.95 (assume @p313 (forall @t45 (or @t56 @t396 @t416))) % 0.50/0.95 (assume @p314 (forall @t391 (or @t56 @t390 @t416))) % 0.50/0.95 (assume @p315 (forall @t404 (or @t308 @t418 (not @t417)))) % 0.50/0.95 (assume @p316 (forall @t262 (or @t308 @t417 (not @t418)))) % 0.50/0.95 (assume @p317 (forall @t404 (or @t308 @t420 (not @t419)))) % 0.50/0.95 (assume @p318 (forall @t262 (or @t308 @t419 (not @t420)))) % 0.50/0.95 (assume @p319 (forall (@list @t1 @t22 @t3) (or @t37 (tptp.c_lessequals @t22 @t421 @t1) @t65 @t360))) % 0.50/0.95 (assume @p320 (forall (@list @t1 @t3 @t22) (or @t37 (tptp.c_lessequals @t422 @t22 @t1) @t65 @t360))) % 0.50/0.95 (assume @p321 (forall @t138 (or @t423 @t236))) % 0.50/0.95 (assume @p322 (forall (@list @t199 @t1 @t141) (or @t426 @t425))) % 0.50/0.95 (assume @p323 (forall (@list @t141 @t1 @t199) (or @t142 @t425))) % 0.50/0.95 (assume @p324 (forall @t428 (or @t424 @t427 @t143))) % 0.50/0.95 (assume @p325 (forall @t138 (tptp.c_Finite__Set_Ofinite @t13 @t1))) % 0.50/0.95 (assume @p326 (forall @t33 (or @t429 @t360))) % 0.50/0.95 (assume @p327 (forall (@list @t3 @t1 @t14) (or @t359 (not @t429)))) % 0.50/0.95 (assume @p328 (forall @t53 (or @t431 @t360 @t430))) % 0.50/0.95 (assume @p329 (forall @t433 (or @t359 @t432 @t430))) % 0.50/0.95 (assume @p330 (forall @t53 (or @t431 @t360))) % 0.50/0.95 (assume @p331 (forall @t428 (or @t434 @t427))) % 0.50/0.95 (assume @p332 (forall @t428 (or @t434 @t143))) % 0.50/0.95 (assume @p333 (forall @t188 (or @t435 @t68 @t360))) % 0.50/0.95 (assume @p334 (forall @t188 (or (not @t435) @t360 @t67))) % 0.50/0.95 (assume @p335 (forall (@list @t14 @t4 @t1 @t436) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t14 @t4 @t1) (tptp.c_Set_Oinsert @t14 @t436 @t1) @t2) (not (tptp.c_lessequals @t4 @t436 @t2))))) % 0.50/0.95 (assume @p336 (forall (@list @t6 @t4 @t3 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t6 (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t2) @t2) @t3) @t438 @t50))) % 0.50/0.95 (assume @p337 (forall @t442 (or (tptp.c_lessequals @t11 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t436 @t2) @t2) @t441 @t440))) % 0.50/0.95 (assume @p338 (forall @t283 (or @t67 @t50 @t109))) % 0.50/0.95 (assume @p339 (forall (@list @t198 @t6 @t1 @t3) (or (tptp.c_in @t198 @t6 @t1) (not (tptp.c_in @t198 @t3 @t1)) @t50))) % 0.50/0.95 (assume @p340 (forall @t215 (or @t169 @t50 @t65))) % 0.50/0.95 (assume @p341 (forall @t79 (or @t78 @t180 @t50))) % 0.50/0.95 (assume @p342 (forall @t215 (or @t169 @t65 @t50))) % 0.50/0.95 (assume @p343 (forall @t155 (or @t437 @t444))) % 0.50/0.95 (assume @p344 (forall @t445 (or @t439 @t444))) % 0.50/0.95 (assume @p345 (forall @t140 (tptp.c_lessequals @t3 @t137 @t2))) % 0.50/0.95 (assume @p346 (forall @t376 (or @t447 (not @t446) @t347))) % 0.50/0.95 (assume @p347 (forall @t53 (tptp.c_lessequals @t11 @t6 @t2))) % 0.50/0.95 (assume @p348 (forall @t53 (tptp.c_lessequals @t11 @t3 @t2))) % 0.50/0.95 (assume @p349 (forall @t442 (or (tptp.c_lessequals @t8 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t436 @t2) @t2) @t441 @t440))) % 0.50/0.95 (assume @p350 (forall @t138 (tptp.c_lessequals @t13 @t13 @t2))) % 0.50/0.95 (assume @p351 (forall @t140 (or @t229 (not (tptp.c_lessequals @t3 @t13 @t2))))) % 0.50/0.95 (assume @p352 (forall @t53 (or (not @t448) @t49))) % 0.50/0.95 (assume @p353 (forall @t53 (or (= @t8 @t3) @t450))) % 0.50/0.95 (assume @p354 (forall @t53 (or @t448 @t50))) % 0.50/0.95 (assume @p355 (forall @t442 (or (tptp.c_lessequals @t92 (tptp.c_HOL_Ominus__class_Ominus @t4 @t436 @t2) @t2) (not (tptp.c_lessequals @t436 @t6 @t2)) @t440))) % 0.50/0.95 (assume @p356 (forall (@list @t6 @t14 @t1) (tptp.c_lessequals @t6 @t131 @t2))) % 0.50/0.95 (assume @p357 (forall @t127 (tptp.c_lessequals @t13 @t3 @t2))) % 0.50/0.95 (assume @p358 (forall @t433 (or @t451 @t450))) % 0.50/0.95 (assume @p359 (forall @t240 (or @t449 (not @t451)))) % 0.50/0.95 (assume @p360 (forall (@list @t6 @t1 @t3) (or (tptp.c_lessequals @t91 @t178 @t2) @t50))) % 0.50/0.95 (assume @p361 (forall (@list @t3 @t18 @t6 @t1) (or (tptp.c_lessequals @t3 @t452 @t2) @t50))) % 0.50/0.95 (assume @p362 (forall @t220 (or @t49 @t214))) % 0.50/0.95 (assume @p363 (forall @t53 (or (= @t11 @t3) @t50))) % 0.50/0.95 (assume @p364 (forall @t53 (or (= @t11 @t6) @t450))) % 0.50/0.95 (assume @p365 (forall @t12 (or @t443 @t438 @t440))) % 0.50/0.95 (assume @p366 (forall @t240 (tptp.c_lessequals @t6 @t8 @t2))) % 0.50/0.95 (assume @p367 (forall @t53 (tptp.c_lessequals @t3 @t8 @t2))) % 0.50/0.95 (assume @p368 (forall @t53 (tptp.c_lessequals @t92 @t3 @t2))) % 0.50/0.95 (assume @p369 (forall @t453 (or (tptp.c_lessequals @t254 @t255 @t99) @t50))) % 0.50/0.95 (assume @p370 (forall (@list @t4 @t6 @t1 @t3) (or @t446 @t454))) % 0.50/0.95 (assume @p371 (forall (@list @t4 @t3 @t1 @t6) (or @t345 @t454))) % 0.50/0.95 (assume @p372 (forall @t456 (or @t212 @t438 @t440 @t455))) % 0.50/0.95 (assume @p373 (forall @t458 (or @t285 @t457 @t148))) % 0.50/0.95 (assume @p374 (forall @t283 (or @t460 (not (tptp.c_in (tptp.hAPP @t60 @t459) @t6 @t59))))) % 0.50/0.95 (assume @p375 (forall @t208 (= @t461 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t101 @t2)))) % 0.50/0.95 (assume @p376 (forall @t45 (or @t44 (tptp.c_lessequals @t463 @t462 @t1)))) % 0.50/0.95 (assume @p377 (forall (@list @t1 @t118) (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert @t118 @t13 @t1) (tptp.c_SetInterval_Oord__class_OgreaterThan @t118 @t1) @t2) @t120)))) % 0.50/0.95 (assume @p378 (forall @t445 (= @t377 (tptp.c_HOL_Ominus__class_Ominus @t153 @t6 @t2)))) % 0.50/0.95 (assume @p379 (forall @t176 (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t175 @t373 @t2) @t13)))) % 0.50/0.95 (assume @p380 (forall @t262 (or @t16 (= @t465 @t13) (not @t464)))) % 0.50/0.95 (assume @p381 (forall @t29 (or @t44 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t25 @t1) @t22)))) % 0.50/0.95 (assume @p382 (forall @t139 (tptp.hBOOL (tptp.hAPP @t137 @t22)))) % 0.50/0.95 (assume @p383 (forall (@list @t60 @t22 @t1 @t59 @t145) (or @t467 (tptp.c_in @t466 @t22 @t1)))) % 0.50/0.95 (assume @p384 (forall (@list @t14 @t3 @t1 @t18) (or @t222 @t19 (not @t468)))) % 0.50/0.95 (assume @p385 (forall @t29 (or @t28 (not (= @t23 @t89)) @t46))) % 0.50/0.95 (assume @p386 (forall @t262 (or @t292 (not (= @t258 @t257)) @t19))) % 0.50/0.95 (assume @p387 (forall @t433 (or (not (= @t178 @t91)) @t221))) % 0.50/0.95 (assume @p388 (forall (@list @t1 @t117) (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t470 @t160 @t2) @t469)))) % 0.50/0.95 (assume @p389 (forall (@list @t117 @t198 @t73 @t471) (or (= @t117 @t198) (not (tptp.c_Natural_Oevalc @t73 @t471 @t117)) (not (tptp.c_Natural_Oevalc @t73 @t471 @t198))))) % 0.50/0.95 (assume @p390 (forall (@list @t60 @t145 @t1 @t59) (or (= @t60 @t145) (not (tptp.c_Map_Omap__le @t145 @t60 @t1 @t59)) @t472))) % 0.50/0.95 (assume @p391 (forall @t29 (or @t44 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t27 @t1) @t22)))) % 0.50/0.95 (assume @p392 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t92 @t11 @t2) @t3))) % 0.50/0.95 (assume @p393 (forall @t477 (or @t476 @t475 @t473))) % 0.50/0.95 (assume @p394 (forall @t477 (or @t476 @t478 @t473))) % 0.50/0.95 (assume @p395 (forall @t477 (or @t476 @t475 @t479))) % 0.50/0.95 (assume @p396 (forall @t477 (or @t476 @t478 @t479))) % 0.50/0.95 (assume @p397 (forall @t123 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t480 @t161 @t2) @t470) @t119))) % 0.50/0.95 (assume @p398 (forall (@list @t145 @t60 @t59 @t156 @t1 @t3 @t4 @t6) (or (tptp.c_Fun_Obij__betw @t269 @t3 @t4 @t1 @t156) (not (tptp.c_Fun_Obij__betw @t145 @t6 @t4 @t59 @t156)) @t242))) % 0.50/0.95 (assume @p399 (forall @t132 (or (= (tptp.c_Finite__Set_Ocard @t115 @t1) @t238) @t65 @t360))) % 0.50/0.95 (assume @p400 (forall @t29 (or @t37 (not (= @t482 @t481)) @t46))) % 0.50/0.95 (assume @p401 (forall @t127 (or @t236 (not @t483) @t360))) % 0.50/0.95 (assume @p402 (forall @t140 (or @t483 @t237 @t360))) % 0.50/0.95 (assume @p403 (forall @t262 (or @t16 @t485 @t401))) % 0.50/0.95 (assume @p404 (forall @t262 (or @t16 (not @t485) @t402))) % 0.50/0.95 (assume @p405 (forall (@list @t1 @t14 @t3) (not (= @t13 @t30)))) % 0.50/0.95 (assume @p406 (forall (@list @t60 @t3 @t59 @t1 @t21) (or (= (tptp.hAPP @t60 (tptp.hAPP @t125 @t21)) @t21) (not (tptp.c_in @t21 @t124 @t1))))) % 0.50/0.95 (assume @p407 (forall (@list @t14 @t1) (not (tptp.c_in @t14 @t13 @t1)))) % 0.50/0.95 (assume @p408 (forall (@list @t73 @t1) (not (tptp.c_in @t73 @t13 @t1)))) % 0.50/0.95 (assume @p409 (forall @t192 (or @t190 @t189))) % 0.50/0.95 (assume @p410 (forall @t348 @t189)) % 0.50/0.95 (assume @p411 (forall @t489 (or @t488 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 @t486 @t1)) @t487))) % 0.50/0.95 (assume @p412 (forall @t227 (or (= @t226 (tptp.c_Set_Oinsert @t14 @t10 @t1)) (not @t225)))) % 0.50/0.95 (assume @p413 (forall @t224 (or (= @t223 @t317) @t267))) % 0.50/0.95 (assume @p414 (forall @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t137 @t2) @t13))) % 0.50/0.95 (assume @p415 (forall (@list @t60 @t14 @t18 @t59 @t1) (or (= @t133 @t18) (not (tptp.c_in @t14 (tptp.c_Set_Ovimage @t60 (tptp.c_Set_Oinsert @t18 @t104 @t59) @t1 @t59) @t1))))) % 0.50/0.95 (assume @p416 (forall (@list @t59 @t1 @t60) (or (= (tptp.c_Hilbert__Choice_Oinv__into @t100 @t149 @t59 @t1) @t60) @t185))) % 0.50/0.95 (assume @p417 (forall (@list @t60 @t145 @t144 @t490 @t156 @t1 @t59) (= (tptp.c_Fun_Ocomp @t60 (tptp.c_Fun_Ocomp @t145 @t144 @t490 @t156 @t1) @t156 @t59 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t60 @t145 @t156 @t59 @t490) @t144 @t490 @t59 @t1)))) % 0.50/0.95 (assume @p418 (forall @t152 (or @t151 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t362 @t22 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t263 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t22 @t1) @t1))))) % 0.50/0.95 (assume @p419 (forall @t45 (or @t151 (= @t463 @t462)))) % 0.50/0.95 (assume @p420 (forall @t87 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t10 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t86 @t2)))) % 0.50/0.95 (assume @p421 (forall @t155 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t3 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t239 @t5 @t2)))) % 0.50/0.95 (assume @p422 (forall @t132 (tptp.hBOOL (tptp.hAPP @t115 @t22)))) % 0.50/0.95 (assume @p423 (forall @t172 (or @t213 @t50 @t170))) % 0.50/0.95 (assume @p424 (forall @t138 (or @t28 (= (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t1) @t26)))) % 0.50/0.95 (assume @p425 (forall @t138 (= @t323 @t137))) % 0.50/0.95 (assume @p426 (forall @t288 (or (tptp.c_Fun_Osurj @t149 @t59 @t1) @t210))) % 0.50/0.95 (assume @p427 (forall @t29 (or @t44 @t491))) % 0.50/0.95 (assume @p428 (forall @t29 (or @t56 @t491))) % 0.50/0.95 (assume @p429 (forall @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t11 @t2) @t11))) % 0.50/0.95 (assume @p430 (forall @t123 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t480 @t122 @t2) @t469) @t119))) % 0.50/0.95 (assume @p431 (forall (@list @t3 @t6 @t1 @t14) (or @t431 (not @t492)))) % 0.50/0.95 (assume @p432 (forall @t224 (or @t492 @t432))) % 0.50/0.95 (assume @p433 (forall @t206 (or @t356 @t328))) % 0.50/0.95 (assume @p434 (forall @t206 (or @t356 @t180))) % 0.50/0.95 (assume @p435 (forall @t33 (or (= @t32 @t3) @t267))) % 0.50/0.95 (assume @p436 (forall @t139 (or @t56 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t22 @t1) @t22)))) % 0.50/0.95 (assume @p437 (forall @t140 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t2) @t3))) % 0.50/0.95 (assume @p438 (forall @t127 (or @t37 (tptp.c_in @t421 @t3 @t1) @t229 @t360))) % 0.50/0.95 (assume @p439 (forall (@list @t1 @t60 @t59 @t22) (or (= (tptp.hAPP @t149 @t62) @t22) @t210))) % 0.50/0.95 (assume @p440 (forall (@list @t60 @t316 @t1 @t22) (or (not (tptp.c_Fun_Oinj__on @t60 @t493 @t316 @t1)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t493 @t60 @t316 @t1) @t62) @t22)))) % 0.50/0.95 (assume @p441 (forall (@list @t14 @t18 @t6 @t1) (or (tptp.c_in @t14 @t452 @t1) (not (tptp.c_in @t14 @t6 @t1))))) % 0.50/0.95 (assume @p442 (forall (@list @t14 @t18 @t3 @t1) (or @t468 @t267))) % 0.50/0.95 (assume @p443 (forall @t87 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t7 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t92 @t244 @t2)))) % 0.50/0.95 (assume @p444 (forall @t262 (or @t16 @t494 @t401))) % 0.50/0.95 (assume @p445 (forall @t262 (or @t16 (not @t494) @t402))) % 0.50/0.95 (assume @p446 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t4 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t243 @t2)))) % 0.50/0.95 (assume @p447 (forall (@list @t1 @t329 @t173 @t58) (or @t37 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t329 @t173 @t1) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t329 @t58 @t1) @t2) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t58 @t173 @t1)) (not (tptp.c_lessequals @t329 @t58 @t1))))) % 0.50/0.95 (assume @p448 (forall @t29 (or @t37 (not (= @t496 @t495)) @t46))) % 0.50/0.95 (assume @p449 (forall @t127 (or @t37 (tptp.c_in @t422 @t3 @t1) @t229 @t360))) % 0.50/0.95 (assume @p450 (forall @t188 (or (tptp.c_lessequals @t187 @t186 @t99) @t210))) % 0.50/0.95 (assume @p451 (forall @t348 (tptp.c_in @t22 @t98 @t1))) % 0.50/0.95 (assume @p452 (forall @t140 (or @t229 (not (tptp.c_lessequals @t3 @t178 @t2))))) % 0.50/0.95 (assume @p453 (forall (@list @t14 @t18 @t156 @t59 @t1 @t73 @t474 @t490 @t233) (or (not (= @t235 (tptp.c_Fun_Ocomp @t73 @t474 @t490 @t59 @t1))) (= @t234 (tptp.hAPP @t73 (tptp.hAPP @t474 @t233)))))) % 0.50/0.95 (assume @p454 (forall (@list @t60 @t145 @t22 @t499 @t498 @t94 @t59 @t1 @t156 @t490 @t497) (or (not (= @t351 (tptp.hAPP @t499 (tptp.hAPP @t498 @t94)))) (= @t352 (tptp.hAPP (tptp.c_Fun_Ocomp @t499 @t498 @t490 @t1 @t497) @t94))))) % 0.50/0.95 (assume @p455 (forall @t361 (or (= @t3 @t98) @t229 (not (tptp.c_lessequals @t3 @t98 @t2))))) % 0.50/0.95 (assume @p456 (forall @t256 (= (tptp.c_Set_Ovimage @t60 @t500 @t1 @t59) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t60 (tptp.c_Set_Oinsert @t14 @t104 @t59) @t1 @t59) @t252 @t2)))) % 0.50/0.95 (assume @p457 (forall @t87 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t10 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t92 @t244 @t2)))) % 0.50/0.95 (assume @p458 (forall @t38 (or @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t369 @t2) @t370)))) % 0.50/0.95 (assume @p459 (forall (@list @t3 @t60 @t22 @t1 @t59) (or @t502 (not @t501)))) % 0.50/0.95 (assume @p460 (forall (@list @t60 @t3 @t1 @t59 @t22) (or @t501 (not @t502)))) % 0.50/0.95 (assume @p461 (forall (@list @t199 @t197 @t1 @t198) (or @t488 @t201))) % 0.50/0.95 (assume @p462 (forall (@list @t199 @t198 @t197 @t1) (or @t200 (not @t488) (not @t204)))) % 0.50/0.95 (assume @p463 (forall @t206 (or @t74 @t328 @t180))) % 0.50/0.95 (assume @p464 (forall @t188 (or @t435 @t68))) % 0.50/0.95 (assume @p465 (forall @t220 (or @t275 @t355 @t217))) % 0.50/0.95 (assume @p466 (forall @t262 (or @t261 (= @t271 (tptp.c_HOL_Ouminus__class_Ouminus @t270 @t1))))) % 0.50/0.95 (assume @p467 (forall @t123 (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t480 @t122 @t2) @t13)))) % 0.50/0.95 (assume @p468 (forall @t138 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t13 @t2) @t13))) % 0.50/0.95 (assume @p469 (forall @t123 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t161 @t177 @t2) @t120) @t119))) % 0.50/0.95 (assume @p470 (forall @t123 (or @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t480 @t161 @t2) @t13)))) % 0.50/0.95 (assume @p471 (forall @t288 (or (tptp.c_Fun_Obij @t149 @t59 @t1) @t185))) % 0.50/0.95 (assume @p472 (forall @t313 (= (tptp.c_Set_Ovimage @t60 @t104 @t1 @t59) @t13))) % 0.50/0.95 (assume @p473 (forall (@list @t145 @t1 @t60 @t59 @t156) (or (= (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t145 @t149 @t1 @t156 @t59) @t60 @t59 @t156 @t1) @t145) @t210))) % 0.50/0.95 (assume @p474 (forall (@list @t145 @t14 @t60 @t59 @t193 @t1) (or (tptp.c_in (tptp.hAPP @t145 @t14) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t60 @t99) @t59) (not (tptp.c_lessequals @t503 (tptp.hAPP @t60 @t503) @t99)) @t194))) % 0.50/0.95 (assume @p475 (forall @t453 (or @t505 (tptp.c_in @t504 @t3 @t59)))) % 0.50/0.95 (assume @p476 (forall (@list @t3 @t60 @t59 @t1 @t6) (or (tptp.c_Fun_Oinj__on @t125 @t6 @t1 @t59) @t506))) % 0.50/0.95 (assume @p477 (forall @t282 (or @t287 @t286 @t185))) % 0.50/0.95 (assume @p478 (forall @t458 (or @t285 @t457 @t185))) % 0.50/0.95 (assume @p479 (forall @t188 (or (tptp.c_lessequals @t186 @t187 @t99) @t148))) % 0.50/0.95 (assume @p480 (forall @t283 (or @t507 @t50 @t210))) % 0.50/0.95 (assume @p481 (forall (@list @t3 @t6 @t1 @t60 @t59) (or @t49 (not @t507) @t210))) % 0.50/0.95 (assume @p482 (forall @t456 (or @t344 @t438 @t440 @t455))) % 0.50/0.95 (assume @p483 (forall (@list @t3 @t60 @t1 @t59 @t112) (or (= (tptp.c_Set_Oimage @t129 (tptp.c_Set_Oimage @t60 @t112 @t1 @t59) @t59 @t1) @t112) (not (tptp.c_lessequals @t112 @t3 @t2)) @t68))) % 0.50/0.95 (assume @p484 (forall @t453 (or @t505 (not (tptp.c_in (tptp.hAPP @t60 @t504) @t6 @t1))))) % 0.50/0.95 (assume @p485 (forall @t283 (or @t460 (tptp.c_in @t459 @t3 @t1)))) % 0.50/0.95 (assume @p486 (forall @t273 (= (tptp.c_Set_Oimage @t60 @t272 @t59 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t508 @t2)))) % 0.50/0.95 (assume @p487 (forall (@list @t60 @t22 @t145 @t1 @t59) (or (not (= (tptp.hAPP @t60 @t466) (tptp.hAPP @t145 @t466))) @t467))) % 0.50/0.95 (assume @p488 (forall @t208 (or (not (= @t124 @t13)) @t509))) % 0.50/0.95 (assume @p489 (forall (@list @t60 @t145 @t156 @t1 @t59 @t510) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t60 @t145 @t156 @t1 @t59) @t510 @t59 @t1) (tptp.c_Set_Oimage @t60 (tptp.c_Set_Oimage @t145 @t510 @t59 @t156) @t156 @t1)))) % 0.50/0.95 (assume @p490 (forall @t283 (or (= @t128 @t6) @t242))) % 0.50/0.95 (assume @p491 (forall @t256 (= (tptp.c_Set_Oimage @t60 @t500 @t59 @t1) (tptp.c_Set_Oinsert @t133 @t508 @t1)))) % 0.50/0.95 (assume @p492 (forall (@list @t1 @t60 @t3 @t59) (or (not (= @t13 @t124)) @t509))) % 0.50/0.95 (assume @p493 (forall @t358 (= (tptp.c_Set_Oimage @t111 @t357 @t1 @t1) @t357))) % 0.50/0.95 (assume @p494 (forall @t313 (= @t511 @t13))) % 0.50/0.95 (assume @p495 (forall @t358 (= (tptp.c_Set_Oimage @t126 @t357 @t1 @t1) @t357))) % 0.50/0.95 (assume @p496 (forall @t288 (= @t13 @t511))) % 0.50/0.95 (assume @p497 (forall @t327 (or @t326 (tptp.c_in @t62 (tptp.c_Set_Oimage @t60 @t3 @t316 @t1) @t1)))) % 0.50/0.95 (assume @p498 (forall @t514 (or @t513 @t512))) % 0.50/0.95 (assume @p499 (forall (@list @t60 @t22 @t3 @t59 @t1) (or @t512 @t513))) % 0.50/0.95 (assume @p500 (forall @t219 (or (tptp.c_in @t62 @t128 @t59) @t65))) % 0.50/0.95 (assume @p501 (forall @t340 (or @t339 @t337 (tptp.c_in @t336 @t515 tptp.tc_Com_Opname) @t335))) % 0.50/0.95 (assume @p502 (forall (@list @t73) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t298 @t338 tptp.tc_Com_Ostate) @t337 @t516 @t335))) % 0.50/0.95 (assume @p503 (forall (@list @t299 @t518 @t517) (or (tptp.c_Natural_Oevalc @t303 @t518 @t517) (not (tptp.c_Natural_Oevalc @t302 @t518 @t517))))) % 0.50/0.95 (assume @p504 (forall (@list @t110 @t471 @t517) (or (tptp.c_Natural_Oevalc (tptp.hAPP @t301 (tptp.hAPP tptp.c_Com_Obody @t110)) @t471 @t517) (not (tptp.c_Natural_Oevalc (tptp.hAPP tptp.c_Com_Ocom_OBODY @t110) @t471 @t517))))) % 0.50/0.96 (assume @p505 (forall @t139 (= (tptp.hAPP (tptp.c_Option_Othe @t1) (tptp.c_Option_Ooption_OSome @t22 @t1)) @t22))) % 0.50/0.96 (assume @p506 (forall (@list @t299 @t18) (or (not (= @t300 (tptp.c_Option_Ooption_OSome @t18 tptp.tc_Com_Ocom))) @t516 (tptp.c_Com_OWT @t18)))) % 0.50/0.96 (assume @p507 (forall (@list @t198) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t198) @t198)) @t335))) % 0.50/0.96 (assume @p508 (forall (@list @t1 @t519 @t520) (or @t37 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t519 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t520 @t1) @t1) @t523 @t522 @t521))) % 0.50/0.96 (assume @p509 (forall (@list @t1 @t520 @t519) (or @t37 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t520 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t519 @t1) @t1) @t523 @t522 @t521))) % 0.50/0.96 (assume @p510 (forall (@list @t3 @t1 @t6 @t59 @t145 @t60) (or @t334 (not @t524) @t360 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t145 @t6 @t59 @t1) @t3 @t2)) (not (tptp.c_Fun_Oinj__on @t145 @t6 @t59 @t1)) (not @t460) @t68))) % 0.50/0.96 (assume @p511 (forall (@list @t199 @t197 @t1 @t525) (or @t488 (not (tptp.c_lessequals @t197 @t525 @t202)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 @t525 @t1))))) % 0.50/0.96 (assume @p512 (forall @t489 (or @t488 (not (tptp.c_lessequals @t486 @t199 @t202)) @t487))) % 0.50/0.96 (assume @p513 (forall (@list @t199 @t197 @t1) (or @t488 (not (tptp.c_lessequals @t197 @t199 @t202))))) % 0.50/0.96 (assume @p514 (forall @t529 (or @t528 @t527 (not (tptp.c_lessequals (tptp.hAPP @t60 @t526) (tptp.hAPP @t145 @t526) @t59))))) % 0.50/0.96 (assume @p515 (forall @t529 (or @t528 @t527 (not (tptp.c_lessequals (tptp.hAPP @t60 @t530) (tptp.hAPP @t145 @t530) @t59))))) % 0.50/0.96 (assume @p516 (forall @t29 (or @t16 @t531 @t310))) % 0.50/0.96 (assume @p517 (forall @t411 (or @t16 @t306 (not @t531)))) % 0.50/0.96 (assume @p518 (forall @t533 (or @t16 @t532 @t401))) % 0.50/0.96 (assume @p519 (forall @t536 (or @t16 @t535 @t402 @t534))) % 0.50/0.96 (assume @p520 (forall @t538 (or @t16 @t537 @t402 @t534))) % 0.50/0.96 (assume @p521 (forall @t533 (or @t16 @t532 (not @t537) (not @t535)))) % 0.50/0.96 (assume @p522 (forall @t29 (or @t16 @t539 @t397))) % 0.50/0.96 (assume @p523 (forall @t29 (or @t16 @t396 (not @t539)))) % 0.50/0.96 (assume @p524 (forall @t29 (or @t37 @t540 @t310))) % 0.50/0.96 (assume @p525 (forall @t411 (or @t37 @t306 (not @t540)))) % 0.50/0.96 (assume @p526 (forall @t29 (or @t37 @t541 @t397))) % 0.50/0.96 (assume @p527 (forall @t29 (or @t37 @t396 (not @t541)))) % 0.50/0.96 (assume @p528 (forall @t536 (or @t37 @t535 @t464 @t542))) % 0.50/0.96 (assume @p529 (forall @t538 (or @t37 @t537 @t464 @t542))) % 0.50/0.96 (assume @p530 (forall (@list @t60 @t145 @t156 @t1 @t59) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t60 @t145 @t156 @t1 @t59) @t100 @t59 @t1) (tptp.c_Set_Oimage @t60 (tptp.c_Set_Oimage @t145 @t100 @t59 @t156) @t156 @t1)))) % 0.50/0.96 (assume @p531 (forall (@list @t3 @t59 @t60 @t1) (or (tptp.c_Finite__Set_Ofinite @t3 @t59) (not (tptp.c_Fun_Oinj__on @t60 @t3 @t59 @t1)) (not (tptp.c_Finite__Set_Ofinite @t124 @t1))))) % 0.50/0.96 (assume @p532 (forall @t273 (tptp.c_lessequals (tptp.c_Set_Oimage @t60 @t295 @t59 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t508 @t2) @t2))) % 0.50/0.96 (assume @p533 (forall @t208 (tptp.c_lessequals @t461 @t3 @t2))) % 0.50/0.96 (assume @p534 (forall @t544 (or (tptp.c_lessequals @t543 @t3 @t99) @t506))) % 0.50/0.96 (assume @p535 (forall (@list @t60 @t22 @t6 @t1 @t3 @t59) (or (tptp.c_in @t62 @t6 @t1) @t513 (not @t505)))) % 0.50/0.96 (assume @p536 (forall @t453 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t124 @t508 @t2) (tptp.c_Set_Oimage @t60 @t312 @t59 @t1) @t2))) % 0.50/0.96 (assume @p537 (forall @t545 (or (= @t6 (tptp.c_Set_Oimage @t60 @t543 @t59 @t1)) @t506))) % 0.50/0.96 (assume @p538 (forall (@list @t118 @t1 @t59) (tptp.c_Finite__Set_Ofinite (tptp.c_Map_Odom (tptp.c_Map_Omap__of @t118 @t1 @t59) @t1 @t59) @t1))) % 0.50/0.96 (assume @p539 (forall (@list @t60 @t1 @t59 @t145) (or (tptp.c_lessequals (tptp.c_Map_Odom @t60 @t1 @t59) (tptp.c_Map_Odom @t145 @t1 @t59) @t2) @t472))) % 0.50/0.96 (assume @p540 (forall (@list @t199 @t546) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t199 @t548 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t546 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t199 @t548 @t297) (tptp.c_Set_Oimage @t547 @t546 tptp.tc_Com_Opname @t296) tptp.tc_Com_Ostate))))) % 0.50/0.96 (assume @p541 (forall (@list @t60 @t145 @t1 @t156 @t59) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t60 @t145 @t1 @t156 @t59) @t100 @t59 @t156) @t156) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t145 @t100 @t59 @t1) @t1))))) % 0.50/0.96 (assume @p542 (forall @t544 (or (tptp.c_lessequals @t549 @t3 @t99) @t506 @t430))) % 0.50/0.96 (assume @p543 (forall @t552 (or (= @t550 @t3) (not @t551) (not (tptp.c_lessequals @t550 @t3 @t2)) @t360))) % 0.50/0.96 (assume @p544 (forall @t544 (or (tptp.c_Finite__Set_Ofinite @t549 @t59) @t506 @t430))) % 0.50/0.96 (assume @p545 (forall @t545 (or (= @t6 (tptp.c_Set_Oimage @t60 @t549 @t59 @t1)) @t506 @t430))) % 0.50/0.96 (assume @p546 (forall @t552 (or @t551 (not (tptp.c_lessequals @t3 @t550 @t2)) @t360))) % 0.50/0.96 (assume @p547 @t553) % 0.50/0.96 (assume @p548 (forall @t411 (or @t37 @t306 @t396))) % 0.50/0.96 (assume @p549 (forall @t514 (or (not (tptp.c_lessequals @t22 @t3 @t99)) (tptp.c_lessequals (tptp.c_Set_Oimage @t60 @t22 @t59 @t1) @t124 @t2)))) % 0.50/0.96 (assume @p550 (forall @t283 (or @t507 @t50))) % 0.50/0.96 (assume @p551 (forall @t433 (or @t359 @t50 @t430))) % 0.50/0.96 (assume @p552 (forall @t557 (or @t556 @t555 @t191))) % 0.50/0.96 (assume @p553 (forall @t433 (or @t359 @t430 @t50))) % 0.50/0.96 (assume @p554 (forall @t139 (or @t559 @t558))) % 0.50/0.96 (assume @p555 (forall @t139 (or @t16 @t558))) % 0.50/0.96 (assume @p556 (forall @t557 (or @t556 @t191 @t555))) % 0.50/0.96 (assume @p557 (forall @t445 (or @t439 @t438 @t50))) % 0.50/0.96 (assume @p558 (forall @t140 (tptp.c_lessequals @t3 @t3 @t2))) % 0.50/0.96 (assume @p559 (forall @t348 (tptp.c_lessequals @t22 @t22 @t2))) % 0.50/0.96 (assume @p560 (forall @t391 (or @t559 @t390 @t413 @t397))) % 0.50/0.96 (assume @p561 (forall (@list @t1 @t39 @t22 @t21) (or @t16 @t412 (not (tptp.c_lessequals @t39 @t21 @t1)) @t310))) % 0.50/0.96 (assume @p562 (forall (@list @t60 @t145 @t3 @t156 @t59 @t1) (= (tptp.c_Set_Oimage @t60 (tptp.c_Set_Oimage @t145 @t3 @t156 @t59) @t59 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t60 @t145 @t59 @t1 @t156) @t3 @t156 @t1)))) % 0.50/0.96 (assume @p563 @t560) % 0.50/0.96 (assume @p564 (forall @t29 (or @t16 @t46 @t397 @t310))) % 0.50/0.96 (assume @p565 (forall @t29 (or @t16 @t46 @t310 @t397))) % 0.50/0.96 (assume @p566 (forall @t53 (or @t221 @t450 @t50))) % 0.50/0.96 (assume @p567 (forall (@list @t22 @t71) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t72))) % 0.50/0.96 (assume @p568 (forall (@list @t6 @t59 @t60 @t3 @t1) (or @t524 @t286 @t360))) % 0.50/0.96 (assume @p569 (forall (@list @t110 @t554 @t59 @t1 @t156 @t561) (= (tptp.hAPP (tptp.c_COMBB @t110 @t554 @t59 @t1 @t156) @t561) (tptp.hAPP @t110 (tptp.hAPP @t554 @t561))))) % 0.50/0.96 (assume @p570 (forall @t127 (or @t423 @t359))) % 0.50/0.96 (assume @p571 (forall (@list @t59 @t60 @t22 @t145 @t1) (or @t528 (tptp.c_lessequals @t62 @t350 @t59) (not @t527)))) % 0.50/0.96 (assume @p572 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 0.50/0.96 (assume @p573 tptp.c_Com_OWT__bodies) % 0.50/0.96 (assume @p574 (tptp.c_lessequals tptp.v_F @t562 @t297)) % 0.50/0.96 (assume @p575 (not @t563)) % 0.50/0.96 (assume @p576 (forall @t567 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t566) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t564))))) % 0.50/0.96 (assume @p577 (forall @t567 (or (tptp.class_Lattices_Oupper__semilattice @t566) @t568))) % 0.50/0.96 (assume @p578 (forall @t567 (or (tptp.class_Lattices_Olower__semilattice @t566) @t568))) % 0.50/0.96 (assume @p579 (forall @t567 (or (tptp.class_Lattices_Odistrib__lattice @t566) (not (tptp.class_Lattices_Odistrib__lattice @t564))))) % 0.50/0.96 (assume @p580 (forall @t567 (or (tptp.class_Lattices_Obounded__lattice @t566) (not (tptp.class_Lattices_Obounded__lattice @t564))))) % 0.50/0.96 (assume @p581 (forall @t567 (or (tptp.class_Lattices_Oboolean__algebra @t566) (not (tptp.class_Lattices_Oboolean__algebra @t564))))) % 0.50/0.96 (assume @p582 (forall @t567 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t566) @t569 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t565))))) % 0.50/0.96 (assume @p583 (forall @t567 (or (tptp.class_Orderings_Opreorder @t566) (not (tptp.class_Orderings_Opreorder @t564))))) % 0.50/0.96 (assume @p584 (forall @t567 (or (tptp.class_Lattices_Olattice @t566) @t568))) % 0.50/0.96 (assume @p585 (forall @t567 (or (tptp.class_Orderings_Oorder @t566) (not (tptp.class_Orderings_Oorder @t564))))) % 0.50/0.96 (assume @p586 (forall @t567 (or (tptp.class_Orderings_Otop @t566) (not (tptp.class_Orderings_Otop @t564))))) % 0.50/0.96 (assume @p587 (forall @t567 (or (tptp.class_Orderings_Obot @t566) (not (tptp.class_Orderings_Obot @t564))))) % 0.50/0.96 (assume @p588 (forall @t567 (or (tptp.class_HOL_Oord @t566) (not (tptp.class_HOL_Oord @t564))))) % 0.50/0.96 (assume @p589 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.50/0.96 (assume @p590 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.50/0.96 (assume @p591 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.50/0.96 (assume @p592 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.50/0.96 (assume @p593 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.50/0.96 (assume @p594 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.50/0.96 (assume @p595 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.50/0.96 (assume @p596 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.50/0.96 (assume @p597 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.50/0.96 (assume @p598 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.50/0.96 (assume @p599 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.50/0.96 (assume @p600 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.50/0.96 (assume @p601 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.50/0.96 (assume @p602 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.50/0.96 (assume @p603 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.50/0.96 (assume @p604 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.50/0.96 (assume @p605 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.50/0.96 (assume @p606 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.50/0.96 (assume @p607 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.50/0.96 (assume @p608 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.50/0.96 (assume @p609 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.50/0.96 (assume @p610 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.50/0.96 (assume @p611 (forall (@list @t564) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t564)) @t569))) % 0.50/0.96 (assume @p612 (forall (@list @t110 @t554 @t561 @t59 @t156 @t1) (= (tptp.c_COMBC @t110 @t554 @t561 @t59 @t156 @t1) (tptp.hAPP (tptp.hAPP @t110 @t561) @t554)))) % 0.50/0.96 (assume @p613 (forall @t348 (tptp.c_fequal @t22 @t22 @t1))) % 0.50/0.96 (assume @p614 (forall (@list @t193 @t357 @t1) (or (= @t193 @t357) (not (tptp.c_fequal @t193 @t357 @t1))))) % 0.50/0.96 (step @p615 :rule cnf_or_pos :args (@t571)) % 0.50/0.96 (step @p616 :rule reordering :premises (@p615) :args ((or @t563 @t570 @t572))) % 0.50/0.96 (step @p617 :rule chain_m_resolution :premises (@p616 @p575 @p547) :args (@t572 @t573 (@list @t563 @t553))) % 0.50/0.96 (assume-push @p624 @t560) % 0.50/0.96 (step @p619 :rule instantiate :premises (@p563) :args ((@list @t547 @t515 tptp.tc_Com_Opname @t296))) % 0.50/0.96 (step-pop @p625 :rule scope :premises (@p619)) % 0.50/0.96 (step @p620 :rule process_scope :premises (@p625) :args (@t571)) % 0.50/0.96 (step @p622 :rule implies_elim :premises (@p620)) % 0.50/0.96 (step @p623 false :rule chain_m_resolution :premises (@p622 @p617 @p563) :args (false @t573 (@list @t571 @t560))) % 0.50/0.96 ) % 0.50/0.96 % SZS output end Proof % 0.50/0.96 % cvc5 exiting %------------------------------------------------------------------------------