%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV909-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 09:02:36 AM UTC 2026 % Result : Unsatisfiable 2.12s 2.34s % Output : Proof 2.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.12 % Problem : SWV909-1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n004.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 21:21:23 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.12/2.34 % SZS status Unsatisfiable % 2.12/2.34 % SZS output start Proof % 2.12/2.36 ( % 2.12/2.36 (declare-sort $$unsorted 0) % 2.12/2.36 (declare-const tptp.v_P $$unsorted) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1 (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_False $$unsorted) % 2.12/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1 (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.t_b $$unsorted) % 2.12/2.36 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.c_Not $$unsorted) % 2.12/2.36 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.v_G $$unsorted) % 2.12/2.36 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.tc_Com_Ostate $$unsorted) % 2.12/2.36 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_c $$unsorted) % 2.12/2.36 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.v_Q $$unsorted) % 2.12/2.36 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.12/2.36 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.36 (declare-const tptp.v_x $$unsorted) % 2.12/2.36 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.tc_nat $$unsorted) % 2.12/2.37 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.tc_Com_Ocom $$unsorted) % 2.12/2.37 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Record_Oiso__tuple__update__accessor__cong__assist (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Product__Type_Obool_Obool__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.tc_bool $$unsorted) % 2.12/2.37 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Product__Type_Obool_Obool__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 2.12/2.37 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.t_a $$unsorted) % 2.12/2.37 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 2.12/2.37 (define @t1 () (@var "V_x" $$unsorted)) % 2.12/2.37 (define @t2 () (@var "V_a" $$unsorted)) % 2.12/2.37 (define @t3 () (@var "T_a" $$unsorted)) % 2.12/2.37 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3)) % 2.12/2.37 (define @t5 () (tptp.hAPP @t4 @t2)) % 2.12/2.37 (define @t6 () (@var "V_b" $$unsorted)) % 2.12/2.37 (define @t7 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3)) % 2.12/2.37 (define @t8 () (tptp.hAPP @t7 @t2)) % 2.12/2.37 (define @t9 () (tptp.hAPP @t8 @t6)) % 2.12/2.37 (define @t10 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t9) @t1))) % 2.12/2.37 (define @t11 () (not (tptp.class_Lattices_Olower__semilattice @t3))) % 2.12/2.37 (define @t12 () (@list @t3 @t2 @t6 @t1)) % 2.12/2.37 (define @t13 () (tptp.hAPP @t4 @t6)) % 2.12/2.37 (define @t14 () (@var "V_y" $$unsorted)) % 2.12/2.37 (define @t15 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3)) % 2.12/2.37 (define @t16 () (tptp.hAPP @t15 @t1)) % 2.12/2.37 (define @t17 () (tptp.hAPP @t16 @t14)) % 2.12/2.37 (define @t18 () (tptp.hAPP @t7 @t1)) % 2.12/2.37 (define @t19 () (not (tptp.class_Lattices_Olattice @t3))) % 2.12/2.37 (define @t20 () (@list @t3 @t1 @t14)) % 2.12/2.37 (define @t21 () (tptp.hAPP @t4 @t14)) % 2.12/2.37 (define @t22 () (tptp.hBOOL (tptp.hAPP @t21 @t1))) % 2.12/2.37 (define @t23 () (tptp.hAPP @t4 @t1)) % 2.12/2.37 (define @t24 () (tptp.hBOOL (tptp.hAPP @t23 @t14))) % 2.12/2.37 (define @t25 () (= @t1 @t14)) % 2.12/2.37 (define @t26 () (not (tptp.class_Orderings_Olinorder @t3))) % 2.12/2.37 (define @t27 () (@list @t3 @t14 @t1)) % 2.12/2.37 (define @t28 () (@var "V_c" $$unsorted)) % 2.12/2.37 (define @t29 () (tptp.c_lessequals @t3)) % 2.12/2.37 (define @t30 () (tptp.hAPP @t29 @t28)) % 2.12/2.37 (define @t31 () (tptp.hBOOL (tptp.hAPP @t30 @t2))) % 2.12/2.37 (define @t32 () (not @t31)) % 2.12/2.37 (define @t33 () (@var "V_d" $$unsorted)) % 2.12/2.37 (define @t34 () (tptp.hAPP @t29 @t6)) % 2.12/2.37 (define @t35 () (tptp.hBOOL (tptp.hAPP @t34 @t33))) % 2.12/2.37 (define @t36 () (not @t35)) % 2.12/2.37 (define @t37 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t28) @t2))) % 2.12/2.37 (define @t38 () (tptp.hBOOL (tptp.hAPP @t30 @t33))) % 2.12/2.37 (define @t39 () (not @t38)) % 2.12/2.37 (define @t40 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t28 @t33 @t3)) % 2.12/2.37 (define @t41 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t2 @t6 @t3)) % 2.12/2.37 (define @t42 () (tptp.tc_fun @t3 tptp.tc_bool)) % 2.12/2.37 (define @t43 () (tptp.c_HOL_Oord__class_Oless @t42)) % 2.12/2.37 (define @t44 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t43 @t41) @t40))) % 2.12/2.37 (define @t45 () (not (tptp.class_Orderings_Oorder @t3))) % 2.12/2.37 (define @t46 () (@list @t3 @t2 @t6 @t28 @t33)) % 2.12/2.37 (define @t47 () (tptp.hBOOL (tptp.hAPP @t13 @t33))) % 2.12/2.37 (define @t48 () (tptp.hAPP @t18 @t14)) % 2.12/2.37 (define @t49 () (tptp.hBOOL (tptp.hAPP @t23 @t1))) % 2.12/2.37 (define @t50 () (not @t49)) % 2.12/2.37 (define @t51 () (not (tptp.class_Orderings_Opreorder @t3))) % 2.12/2.37 (define @t52 () (@list @t3 @t1)) % 2.12/2.37 (define @t53 () (@var "V_g" $$unsorted)) % 2.12/2.37 (define @t54 () (@var "V_f" $$unsorted)) % 2.12/2.37 (define @t55 () (@var "T_b" $$unsorted)) % 2.12/2.37 (define @t56 () (tptp.tc_fun @t3 @t55)) % 2.12/2.37 (define @t57 () (tptp.c_lessequals @t56)) % 2.12/2.37 (define @t58 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t54) @t53))) % 2.12/2.37 (define @t59 () (not @t58)) % 2.12/2.37 (define @t60 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t53) @t54))) % 2.12/2.37 (define @t61 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oord__class_Oless @t56) @t54) @t53))) % 2.12/2.37 (define @t62 () (not (tptp.class_HOL_Oord @t55))) % 2.12/2.37 (define @t63 () (@list @t55 @t3 @t54 @t53)) % 2.12/2.37 (define @t64 () (tptp.hAPP @t29 @t1)) % 2.12/2.37 (define @t65 () (tptp.hBOOL (tptp.hAPP @t64 @t14))) % 2.12/2.37 (define @t66 () (not @t65)) % 2.12/2.37 (define @t67 () (tptp.hAPP @t29 @t14)) % 2.12/2.37 (define @t68 () (tptp.hBOOL (tptp.hAPP @t67 @t1))) % 2.12/2.37 (define @t69 () (tptp.c_Orderings_Otop__class_Otop @t3)) % 2.12/2.37 (define @t70 () (not (tptp.class_Lattices_Obounded__lattice @t3))) % 2.12/2.37 (define @t71 () (@var "V_z" $$unsorted)) % 2.12/2.37 (define @t72 () (tptp.c_Fun_Ofun__upd @t54 @t1 @t14 @t3 @t55)) % 2.12/2.37 (define @t73 () (@list @t54 @t1 @t14 @t3 @t55 @t71)) % 2.12/2.37 (define @t74 () (@var "V_A" $$unsorted)) % 2.12/2.37 (define @t75 () (@var "V_B" $$unsorted)) % 2.12/2.37 (define @t76 () (not (= (tptp.hAPP (tptp.hAPP @t7 @t74) @t75) @t69))) % 2.12/2.37 (define @t77 () (@list @t3 @t74 @t75)) % 2.12/2.37 (define @t78 () (@var "V_G" $$unsorted)) % 2.12/2.37 (define @t79 () (@var "V_F" $$unsorted)) % 2.12/2.37 (define @t80 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42)) % 2.12/2.37 (define @t81 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t80 @t79) @t78) @t3)) % 2.12/2.37 (define @t82 () (not @t81)) % 2.12/2.37 (define @t83 () (tptp.c_Finite__Set_Ofinite @t78 @t3)) % 2.12/2.37 (define @t84 () (tptp.c_Finite__Set_Ofinite @t79 @t3)) % 2.12/2.37 (define @t85 () (tptp.hAPP @t7 @t14)) % 2.12/2.37 (define @t86 () (tptp.hAPP @t85 @t71)) % 2.12/2.37 (define @t87 () (tptp.hAPP @t18 @t86)) % 2.12/2.37 (define @t88 () (= (tptp.hAPP (tptp.hAPP @t7 @t48) @t71) @t87)) % 2.12/2.37 (define @t89 () (@list @t3 @t1 @t14 @t71)) % 2.12/2.37 (define @t90 () (tptp.hAPP @t43 @t74)) % 2.12/2.37 (define @t91 () (tptp.hBOOL (tptp.hAPP @t90 @t75))) % 2.12/2.37 (define @t92 () (not @t91)) % 2.12/2.37 (define @t93 () (tptp.c_lessequals @t42)) % 2.12/2.37 (define @t94 () (tptp.hAPP @t93 @t74)) % 2.12/2.37 (define @t95 () (tptp.hBOOL (tptp.hAPP @t94 @t75))) % 2.12/2.37 (define @t96 () (not @t61)) % 2.12/2.37 (define @t97 () (not @t24)) % 2.12/2.37 (define @t98 () (not @t84)) % 2.12/2.37 (define @t99 () (@var "V_h" $$unsorted)) % 2.12/2.37 (define @t100 () (tptp.hAPP @t54 @t1)) % 2.12/2.37 (define @t101 () (@list @t54 @t1 @t55 @t3)) % 2.12/2.37 (define @t102 () (tptp.c_Fun_Ofun__upd @t54 @t1 @t14 @t55 @t3)) % 2.12/2.37 (define @t103 () (@var "T_aa" $$unsorted)) % 2.12/2.37 (define @t104 () (tptp.hAPP @t29 @t48)) % 2.12/2.37 (define @t105 () (tptp.hBOOL (tptp.hAPP @t104 @t1))) % 2.12/2.37 (define @t106 () (tptp.hBOOL (tptp.hAPP @t104 @t14))) % 2.12/2.37 (define @t107 () (tptp.hBOOL (tptp.hAPP @t64 @t71))) % 2.12/2.37 (define @t108 () (not @t107)) % 2.12/2.37 (define @t109 () (tptp.hBOOL (tptp.hAPP @t64 @t86))) % 2.12/2.37 (define @t110 () (tptp.hBOOL (tptp.hAPP @t64 @t2))) % 2.12/2.37 (define @t111 () (not @t110)) % 2.12/2.37 (define @t112 () (tptp.hBOOL (tptp.hAPP @t64 @t6))) % 2.12/2.37 (define @t113 () (not @t112)) % 2.12/2.37 (define @t114 () (tptp.hBOOL (tptp.hAPP @t64 @t9))) % 2.12/2.37 (define @t115 () (@list @t3 @t1 @t2 @t6)) % 2.12/2.37 (define @t116 () (tptp.c_Fun_Oinj__on @t54 @t74 @t3 @t55)) % 2.12/2.37 (define @t117 () (not @t116)) % 2.12/2.37 (define @t118 () (tptp.c_Set_Oimage @t54 @t3 @t55)) % 2.12/2.37 (define @t119 () (tptp.hAPP @t118 @t74)) % 2.12/2.37 (define @t120 () (tptp.hAPP @t15 @t14)) % 2.12/2.37 (define @t121 () (tptp.hAPP @t120 @t1)) % 2.12/2.37 (define @t122 () (not (tptp.class_Lattices_Odistrib__lattice @t3))) % 2.12/2.37 (define @t123 () (@list @t3 @t14 @t71 @t1)) % 2.12/2.37 (define @t124 () (tptp.hAPP @t16 @t71)) % 2.12/2.37 (define @t125 () (tptp.hAPP (tptp.hAPP @t7 @t17) @t124)) % 2.12/2.37 (define @t126 () (tptp.hAPP @t16 @t86)) % 2.12/2.37 (define @t127 () (@var "T_c" $$unsorted)) % 2.12/2.37 (define @t128 () (tptp.c_Set_Oimage @t54 @t55 @t3)) % 2.12/2.37 (define @t129 () (= (tptp.hAPP @t18 @t48) @t48)) % 2.12/2.37 (define @t130 () (tptp.c_Orderings_Otop__class_Otop @t42)) % 2.12/2.37 (define @t131 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t3))) % 2.12/2.37 (define @t132 () (@list @t3)) % 2.12/2.37 (define @t133 () (not @t22)) % 2.12/2.37 (define @t134 () (tptp.hAPP @t29 @t71)) % 2.12/2.37 (define @t135 () (not (tptp.hBOOL (tptp.hAPP @t134 @t14)))) % 2.12/2.37 (define @t136 () (tptp.hAPP @t4 @t71)) % 2.12/2.37 (define @t137 () (tptp.hBOOL (tptp.hAPP @t136 @t1))) % 2.12/2.37 (define @t138 () (@list @t3 @t71 @t1 @t14)) % 2.12/2.37 (define @t139 () (not @t68)) % 2.12/2.37 (define @t140 () (not (tptp.hBOOL (tptp.hAPP @t136 @t14)))) % 2.12/2.37 (define @t141 () (tptp.c_Fun_Oinj__on @t54 @t75 @t3 @t55)) % 2.12/2.37 (define @t142 () (not @t141)) % 2.12/2.37 (define @t143 () (not @t95)) % 2.12/2.37 (define @t144 () (@list @t54 @t74 @t3 @t55 @t75)) % 2.12/2.37 (define @t145 () (not (tptp.c_Finite__Set_Ofinite @t75 @t3))) % 2.12/2.37 (define @t146 () (tptp.c_Finite__Set_Ofinite @t74 @t3)) % 2.12/2.37 (define @t147 () (@list @t74 @t3 @t75)) % 2.12/2.37 (define @t148 () (@var "V_C" $$unsorted)) % 2.12/2.37 (define @t149 () (tptp.hAPP @t93 @t75)) % 2.12/2.37 (define @t150 () (tptp.hBOOL (tptp.hAPP @t149 @t148))) % 2.12/2.37 (define @t151 () (not @t150)) % 2.12/2.37 (define @t152 () (tptp.hBOOL (tptp.hAPP @t90 @t148))) % 2.12/2.37 (define @t153 () (@list @t3 @t74 @t148 @t75)) % 2.12/2.37 (define @t154 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t43 @t75) @t148)))) % 2.12/2.37 (define @t155 () (not (tptp.hBOOL (tptp.hAPP @t21 @t71)))) % 2.12/2.37 (define @t156 () (tptp.hBOOL (tptp.hAPP @t23 @t71))) % 2.12/2.37 (define @t157 () (@list @t3 @t1 @t71 @t14)) % 2.12/2.37 (define @t158 () (tptp.hBOOL (tptp.hAPP @t67 @t71))) % 2.12/2.37 (define @t159 () (not @t158)) % 2.12/2.37 (define @t160 () (tptp.hBOOL (tptp.hAPP @t5 @t6))) % 2.12/2.37 (define @t161 () (tptp.c_Orderings_Obot__class_Obot @t42)) % 2.12/2.37 (define @t162 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t6 @t3)) % 2.12/2.37 (define @t163 () (= @t162 @t161)) % 2.12/2.37 (define @t164 () (@list @t3 @t2 @t6)) % 2.12/2.37 (define @t165 () (not @t160)) % 2.12/2.37 (define @t166 () (@var "V_l" $$unsorted)) % 2.12/2.37 (define @t167 () (@var "V_k" $$unsorted)) % 2.12/2.37 (define @t168 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t167) @t166))) % 2.12/2.37 (define @t169 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t167 @t166 @t3)) % 2.12/2.37 (define @t170 () (= @t161 @t169)) % 2.12/2.37 (define @t171 () (@list @t3 @t167 @t166)) % 2.12/2.37 (define @t172 () (not @t168)) % 2.12/2.37 (define @t173 () (= @t71 @t1)) % 2.12/2.37 (define @t174 () (tptp.hAPP @t54 @t71)) % 2.12/2.37 (define @t175 () (@var "V_y_H" $$unsorted)) % 2.12/2.37 (define @t176 () (@var "V_x_H" $$unsorted)) % 2.12/2.37 (define @t177 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t176) @t175))) % 2.12/2.37 (define @t178 () (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t176 @t3) @t175)) % 2.12/2.37 (define @t179 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t3)) % 2.12/2.37 (define @t180 () (not (= (tptp.hAPP @t179 @t14) @t178))) % 2.12/2.37 (define @t181 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t3))) % 2.12/2.37 (define @t182 () (@list @t3 @t1 @t14 @t176 @t175)) % 2.12/2.37 (define @t183 () (tptp.hAPP @t128 @t74)) % 2.12/2.37 (define @t184 () (tptp.hBOOL (tptp.hAPP @t34 @t2))) % 2.12/2.37 (define @t185 () (not @t184)) % 2.12/2.37 (define @t186 () (= @t2 @t6)) % 2.12/2.37 (define @t187 () (tptp.hBOOL (tptp.hAPP @t13 @t2))) % 2.12/2.37 (define @t188 () (@list @t3 @t6 @t2)) % 2.12/2.37 (define @t189 () (= @t74 @t75)) % 2.12/2.37 (define @t190 () (@list @t74 @t75 @t3)) % 2.12/2.37 (define @t191 () (tptp.hAPP @t29 @t2)) % 2.12/2.37 (define @t192 () (tptp.hBOOL (tptp.hAPP @t191 @t6))) % 2.12/2.37 (define @t193 () (not @t192)) % 2.12/2.37 (define @t194 () (not @t187)) % 2.12/2.37 (define @t195 () (not @t146)) % 2.12/2.37 (define @t196 () (tptp.hBOOL (tptp.c_in @t2 @t74 @t3))) % 2.12/2.37 (define @t197 () (not @t196)) % 2.12/2.37 (define @t198 () (tptp.c_Finite__Set_Ofold1 @t7 @t74 @t3)) % 2.12/2.37 (define @t199 () (not (tptp.hBOOL (tptp.hAPP @t149 @t74)))) % 2.12/2.37 (define @t200 () (tptp.c_Finite__Set_Osetsum @t54 @t74 @t3 @t55)) % 2.12/2.37 (define @t201 () (tptp.c_HOL_Ominus__class_Ominus @t200 @t55)) % 2.12/2.37 (define @t202 () (tptp.c_HOL_Ominus__class_Ominus @t74 @t42)) % 2.12/2.37 (define @t203 () (tptp.hAPP @t202 @t75)) % 2.12/2.37 (define @t204 () (not (tptp.class_OrderedGroup_Oab__group__add @t55))) % 2.12/2.37 (define @t205 () (tptp.hAPP @t29 @t166)) % 2.12/2.37 (define @t206 () (= @t169 @t161)) % 2.12/2.37 (define @t207 () (tptp.hBOOL (tptp.c_in @t1 @t74 @t3))) % 2.12/2.37 (define @t208 () (tptp.hAPP @t100 @t14)) % 2.12/2.37 (define @t209 () (tptp.c_Set_Oinsert @t1 @t3)) % 2.12/2.37 (define @t210 () (tptp.hAPP @t209 @t74)) % 2.12/2.37 (define @t211 () (tptp.hAPP @t209 @t75)) % 2.12/2.37 (define @t212 () (tptp.hBOOL (tptp.hAPP @t90 @t211))) % 2.12/2.37 (define @t213 () (not @t212)) % 2.12/2.37 (define @t214 () (tptp.hBOOL (tptp.c_in @t1 @t75 @t3))) % 2.12/2.37 (define @t215 () (not @t214)) % 2.12/2.37 (define @t216 () (@list @t3 @t74 @t75 @t1)) % 2.12/2.37 (define @t217 () (@list @t3 @t74 @t1 @t75)) % 2.12/2.37 (define @t218 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t162) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t28 @t33 @t3))))) % 2.12/2.37 (define @t219 () (@list @t3 @t6 @t33 @t2 @t28)) % 2.12/2.37 (define @t220 () (@list @t3 @t28 @t2 @t6 @t33)) % 2.12/2.37 (define @t221 () (tptp.hAPP @t120 @t71)) % 2.12/2.37 (define @t222 () (tptp.hAPP @t18 @t221)) % 2.12/2.37 (define @t223 () (tptp.hAPP @t18 @t71)) % 2.12/2.37 (define @t224 () (tptp.hAPP (tptp.hAPP @t15 @t48) @t223)) % 2.12/2.37 (define @t225 () (tptp.hBOOL (tptp.c_in @t1 @t74 @t55))) % 2.12/2.37 (define @t226 () (tptp.hAPP (tptp.c_Set_Oimage @t102 @t55 @t3) @t74)) % 2.12/2.37 (define @t227 () (@list @t54 @t1 @t14 @t55 @t3 @t74)) % 2.12/2.37 (define @t228 () (not @t44)) % 2.12/2.37 (define @t229 () (@var "V_m" $$unsorted)) % 2.12/2.37 (define @t230 () (not (tptp.hBOOL (tptp.hAPP @t205 @t229)))) % 2.12/2.37 (define @t231 () (@var "V_u" $$unsorted)) % 2.12/2.37 (define @t232 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t229) @t231)))) % 2.12/2.37 (define @t233 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t166 @t231 @t3)) % 2.12/2.37 (define @t234 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t229 @t231 @t3)) % 2.12/2.37 (define @t235 () (@list @t3 @t166 @t229 @t231)) % 2.12/2.37 (define @t236 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t166 @t231 @t3)) % 2.12/2.37 (define @t237 () (tptp.hAPP @t80 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t166 @t229 @t3))) % 2.12/2.37 (define @t238 () (tptp.tc_fun @t55 tptp.tc_bool)) % 2.12/2.37 (define @t239 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t75 @t3 @t238)) % 2.12/2.37 (define @t240 () (not @t207)) % 2.12/2.37 (define @t241 () (tptp.hAPP @t75 @t1)) % 2.12/2.37 (define @t242 () (tptp.c_Set_Oinsert @t2 @t3)) % 2.12/2.37 (define @t243 () (tptp.hAPP @t242 @t161)) % 2.12/2.37 (define @t244 () (tptp.hAPP @t202 @t243)) % 2.12/2.37 (define @t245 () (tptp.c_Finite__Set_Osetsum @t54 @t244 @t3 @t55)) % 2.12/2.37 (define @t246 () (@list @t55 @t54 @t74 @t3 @t2)) % 2.12/2.37 (define @t247 () (= @t74 @t161)) % 2.12/2.37 (define @t248 () (@var "V_xa" $$unsorted)) % 2.12/2.37 (define @t249 () (not (tptp.hBOOL (tptp.c_in @t248 @t74 @t3)))) % 2.12/2.37 (define @t250 () (@var "V_n" $$unsorted)) % 2.12/2.37 (define @t251 () (@var "V_i" $$unsorted)) % 2.12/2.37 (define @t252 () (= @t41 @t161)) % 2.12/2.37 (define @t253 () (@var "V_I" $$unsorted)) % 2.12/2.37 (define @t254 () (tptp.hAPP @t74 @t1)) % 2.12/2.37 (define @t255 () (tptp.c_lessequals @t238)) % 2.12/2.37 (define @t256 () (tptp.hAPP @t80 @t74)) % 2.12/2.37 (define @t257 () (tptp.hAPP @t256 @t75)) % 2.12/2.37 (define @t258 () (not (tptp.c_Fun_Oinj__on @t54 @t257 @t3 @t55))) % 2.12/2.37 (define @t259 () (tptp.hAPP @t118 @t75)) % 2.12/2.37 (define @t260 () (not (= @t119 @t259))) % 2.12/2.37 (define @t261 () (@list @t54 @t3 @t55 @t74 @t75)) % 2.12/2.37 (define @t262 () (tptp.hAPP (tptp.c_Set_Oimage @t54 @t55 @t127) @t74)) % 2.12/2.37 (define @t263 () (tptp.c_COMBB @t75 @t54 @t127 @t42 @t55)) % 2.12/2.37 (define @t264 () (@list @t74 @t75 @t54 @t127 @t3 @t55)) % 2.12/2.37 (define @t265 () (tptp.c_COMBB @t75 @t54 @t55 @t42 @t127)) % 2.12/2.37 (define @t266 () (tptp.hAPP (tptp.c_Set_Oimage @t54 @t127 @t55) @t74)) % 2.12/2.37 (define @t267 () (@list @t54 @t127 @t55 @t74 @t75 @t3)) % 2.12/2.37 (define @t268 () (tptp.c_Orderings_Otop__class_Otop @t238)) % 2.12/2.37 (define @t269 () (tptp.c_Set_Oimage @t53 @t55 @t127)) % 2.12/2.37 (define @t270 () (tptp.c_Set_Oimage @t54 @t127 @t3)) % 2.12/2.37 (define @t271 () (not (tptp.c_Fun_Oinj__on @t54 @t130 @t3 @t55))) % 2.12/2.37 (define @t272 () (tptp.hAPP @t242 @t75)) % 2.12/2.37 (define @t273 () (tptp.hAPP @t202 @t272)) % 2.12/2.37 (define @t274 () (tptp.c_Finite__Set_Ofinite @t273 @t3)) % 2.12/2.37 (define @t275 () (tptp.c_Finite__Set_Ofinite @t203 @t3)) % 2.12/2.37 (define @t276 () (not @t275)) % 2.12/2.37 (define @t277 () (@list @t74 @t3 @t2 @t75)) % 2.12/2.37 (define @t278 () (tptp.c_COMBB @t242 @t75 @t42 @t42 @t55)) % 2.12/2.37 (define @t279 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t148 @t278 @t55 @t42)) % 2.12/2.37 (define @t280 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t148 @t75 @t55 @t42)) % 2.12/2.37 (define @t281 () (tptp.hAPP @t242 @t280)) % 2.12/2.37 (define @t282 () (@list @t2 @t3 @t148 @t75 @t55)) % 2.12/2.37 (define @t283 () (@list @t148 @t2 @t3 @t75 @t55)) % 2.12/2.37 (define @t284 () (tptp.c_COMBB @t256 @t75 @t42 @t42 @t55)) % 2.12/2.37 (define @t285 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t148 @t284 @t55 @t42)) % 2.12/2.37 (define @t286 () (tptp.hAPP @t256 @t280)) % 2.12/2.37 (define @t287 () (@list @t3 @t74 @t148 @t75 @t55)) % 2.12/2.37 (define @t288 () (@list @t148 @t3 @t74 @t75 @t55)) % 2.12/2.37 (define @t289 () (tptp.hAPP @t80 @t75)) % 2.12/2.37 (define @t290 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t253 @t74 @t55 @t42)) % 2.12/2.37 (define @t291 () (tptp.c_Complete__Lattice_OInf__class_OInf @t3)) % 2.12/2.37 (define @t292 () (tptp.hAPP @t291 @t74)) % 2.12/2.37 (define @t293 () (tptp.hAPP @t242 @t74)) % 2.12/2.37 (define @t294 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t3))) % 2.12/2.37 (define @t295 () (@list @t3 @t2 @t74)) % 2.12/2.37 (define @t296 () (= @t87 (tptp.hAPP @t85 @t223))) % 2.12/2.37 (define @t297 () (tptp.hAPP (tptp.c_Set_Oimage @t54 @t3 @t3) @t74)) % 2.12/2.37 (define @t298 () (tptp.c_Fun_Oinj__on @t54 @t74 @t3 @t3)) % 2.12/2.37 (define @t299 () (tptp.hAPP @t54 @t14)) % 2.12/2.37 (define @t300 () (not (= @t100 @t299))) % 2.12/2.37 (define @t301 () (@list @t54 @t1 @t14 @t3 @t55)) % 2.12/2.37 (define @t302 () (= @t2 @t28)) % 2.12/2.37 (define @t303 () (tptp.tc_fun (tptp.tc_prod @t3 @t3) tptp.tc_bool)) % 2.12/2.37 (define @t304 () (@list @t3 @t75)) % 2.12/2.37 (define @t305 () (tptp.hAPP @t85 @t1)) % 2.12/2.37 (define @t306 () (tptp.hBOOL (tptp.c_in @t28 @t74 @t3))) % 2.12/2.37 (define @t307 () (not @t306)) % 2.12/2.37 (define @t308 () (tptp.hBOOL (tptp.c_in @t28 @t75 @t3))) % 2.12/2.37 (define @t309 () (@list @t28 @t75 @t3 @t74)) % 2.12/2.37 (define @t310 () (@var "V_R" $$unsorted)) % 2.12/2.37 (define @t311 () (@var "V_Q" $$unsorted)) % 2.12/2.37 (define @t312 () (@var "V_P" $$unsorted)) % 2.12/2.37 (define @t313 () (tptp.hBOOL (tptp.hAPP @t64 @t1))) % 2.12/2.37 (define @t314 () (not (tptp.hBOOL (tptp.c_in @t14 @t74 @t3)))) % 2.12/2.37 (define @t315 () (@list @t54 @t1 @t14 @t74 @t3 @t55)) % 2.12/2.37 (define @t316 () (= @t48 @t1)) % 2.12/2.37 (define @t317 () (= @t48 @t305)) % 2.12/2.37 (define @t318 () (not @t114)) % 2.12/2.37 (define @t319 () (tptp.hBOOL (tptp.hAPP @t191 @t1))) % 2.12/2.37 (define @t320 () (not @t319)) % 2.12/2.37 (define @t321 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t9) @t1))) % 2.12/2.37 (define @t322 () (tptp.hBOOL (tptp.hAPP @t34 @t1))) % 2.12/2.37 (define @t323 () (not @t322)) % 2.12/2.37 (define @t324 () (not @t109)) % 2.12/2.37 (define @t325 () (= @t161 @t162)) % 2.12/2.37 (define @t326 () (@list @t3 @t74)) % 2.12/2.37 (define @t327 () (@list @t54 @t74 @t3)) % 2.12/2.37 (define @t328 () (tptp.hAPP @t15 @t2)) % 2.12/2.37 (define @t329 () (tptp.hAPP @t328 @t6)) % 2.12/2.37 (define @t330 () (tptp.hBOOL (tptp.hAPP @t23 @t329))) % 2.12/2.37 (define @t331 () (not (tptp.class_Lattices_Oupper__semilattice @t3))) % 2.12/2.37 (define @t332 () (tptp.c_Orderings_Obot__class_Obot @t3)) % 2.12/2.37 (define @t333 () (@list @t54 @t71 @t3 @t55)) % 2.12/2.37 (define @t334 () (tptp.c_Finite__Set_Ofinite @t293 @t3)) % 2.12/2.37 (define @t335 () (@list @t2 @t3 @t74)) % 2.12/2.37 (define @t336 () (tptp.c_Fun_Oinj__on @t54 @t293 @t3 @t55)) % 2.12/2.37 (define @t337 () (not @t336)) % 2.12/2.37 (define @t338 () (tptp.hAPP @t54 @t2)) % 2.12/2.37 (define @t339 () (= @t245 (tptp.hAPP @t201 @t338))) % 2.12/2.37 (define @t340 () (not (tptp.hBOOL (tptp.c_in @t231 @t74 @t3)))) % 2.12/2.37 (define @t341 () (tptp.c_Set_Oinsert @t2 @t55)) % 2.12/2.37 (define @t342 () (tptp.c_COMBB @t341 @t75 @t238 @t238 @t3)) % 2.12/2.37 (define @t343 () (@list @t74 @t2 @t55 @t75 @t3 @t231)) % 2.12/2.37 (define @t344 () (tptp.hBOOL (tptp.c_in @t338 @t119 @t55))) % 2.12/2.37 (define @t345 () (@list @t54 @t2 @t3 @t55 @t74)) % 2.12/2.37 (define @t346 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t166 @t231 @t3)) % 2.12/2.37 (define @t347 () (tptp.c_Orderings_Obot__class_Obot @t238)) % 2.12/2.37 (define @t348 () (= @t148 @t347)) % 2.12/2.37 (define @t349 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t148 @t75 @t55 @t42)) % 2.12/2.37 (define @t350 () (tptp.hAPP @t242 @t349)) % 2.12/2.37 (define @t351 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t148 @t278 @t55 @t42)) % 2.12/2.37 (define @t352 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t75 @t3 @t238)) % 2.12/2.37 (define @t353 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t148 @t284 @t55 @t42)) % 2.12/2.37 (define @t354 () (tptp.hAPP @t256 @t349)) % 2.12/2.37 (define @t355 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t119) @t259))) % 2.12/2.37 (define @t356 () (@list @t55 @t54 @t3 @t74 @t75)) % 2.12/2.37 (define @t357 () (tptp.hBOOL (tptp.hAPP @t94 @t148))) % 2.12/2.37 (define @t358 () (not @t357)) % 2.12/2.37 (define @t359 () (= (tptp.hAPP @t118 @t203) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t119 @t238) @t259))) % 2.12/2.37 (define @t360 () (tptp.c_Set_Oinsert @t6 @t3)) % 2.12/2.37 (define @t361 () (tptp.hAPP @t360 @t161)) % 2.12/2.37 (define @t362 () (tptp.hAPP @t242 @t361)) % 2.12/2.37 (define @t363 () (tptp.c_COMBB @t202 @t75 @t42 @t42 @t55)) % 2.12/2.37 (define @t364 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t148 @t363 @t55 @t42)) % 2.12/2.37 (define @t365 () (tptp.hAPP @t202 @t280)) % 2.12/2.37 (define @t366 () (@list @t74 @t3 @t148 @t75 @t55)) % 2.12/2.37 (define @t367 () (@list @t148 @t74 @t3 @t75 @t55)) % 2.12/2.37 (define @t368 () (tptp.c_Finite__Set_Olinorder__class_OMax @t74 @t3)) % 2.12/2.37 (define @t369 () (@list @t3 @t1 @t74)) % 2.12/2.37 (define @t370 () (tptp.c_Finite__Set_Olinorder__class_OMin @t74 @t3)) % 2.12/2.37 (define @t371 () (@list @t3 @t74 @t1)) % 2.12/2.37 (define @t372 () (tptp.c_HOL_Ominus__class_Ominus @t75 @t42)) % 2.12/2.37 (define @t373 () (tptp.hAPP @t372 @t74)) % 2.12/2.37 (define @t374 () (tptp.hAPP @t256 @t373)) % 2.12/2.37 (define @t375 () (@var "V_top" $$unsorted)) % 2.12/2.37 (define @t376 () (@var "V_bot" $$unsorted)) % 2.12/2.37 (define @t377 () (@var "V_sup" $$unsorted)) % 2.12/2.37 (define @t378 () (@var "V_inf" $$unsorted)) % 2.12/2.37 (define @t379 () (@var "V_less" $$unsorted)) % 2.12/2.37 (define @t380 () (@var "V_less__eq" $$unsorted)) % 2.12/2.37 (define @t381 () (@var "V_Sup" $$unsorted)) % 2.12/2.37 (define @t382 () (@var "V_Inf" $$unsorted)) % 2.12/2.37 (define @t383 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t382 @t381 @t380 @t379 @t378 @t377 @t376 @t375 @t3))) % 2.12/2.37 (define @t384 () (tptp.hBOOL (tptp.hAPP @t64 @t17))) % 2.12/2.37 (define @t385 () (tptp.hBOOL (tptp.hAPP @t67 @t17))) % 2.12/2.37 (define @t386 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t17) @t71))) % 2.12/2.37 (define @t387 () (tptp.hBOOL (tptp.hAPP @t134 @t1))) % 2.12/2.37 (define @t388 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t329) @t1))) % 2.12/2.37 (define @t389 () (tptp.hAPP @t93 @t257)) % 2.12/2.37 (define @t390 () (tptp.hBOOL (tptp.hAPP @t389 @t148))) % 2.12/2.37 (define @t391 () (@list @t3 @t74 @t75 @t148)) % 2.12/2.37 (define @t392 () (@list @t3 @t75 @t74)) % 2.12/2.37 (define @t393 () (tptp.hAPP @t16 @t221)) % 2.12/2.37 (define @t394 () (= (tptp.hAPP (tptp.hAPP @t15 @t17) @t71) @t393)) % 2.12/2.37 (define @t395 () (= @t393 (tptp.hAPP @t120 @t124))) % 2.12/2.37 (define @t396 () (tptp.hAPP @t289 @t148)) % 2.12/2.37 (define @t397 () (tptp.hAPP @t256 @t396)) % 2.12/2.37 (define @t398 () (tptp.c_HOL_Ominus__class_Ominus @t74 @t238)) % 2.12/2.37 (define @t399 () (tptp.hAPP @t128 @t75)) % 2.12/2.37 (define @t400 () (tptp.hAPP @t179 @t1)) % 2.12/2.37 (define @t401 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 2.12/2.37 (define @t402 () (tptp.c_HOL_Ominus__class_Ominus @t203 @t42)) % 2.12/2.37 (define @t403 () (@var "V_pname_H" $$unsorted)) % 2.12/2.37 (define @t404 () (tptp.c_Com_Ocom_OBODY @t403)) % 2.12/2.37 (define @t405 () (@var "V_com2" $$unsorted)) % 2.12/2.37 (define @t406 () (@var "V_com1" $$unsorted)) % 2.12/2.37 (define @t407 () (tptp.c_Com_Ocom_OSemi @t406 @t405)) % 2.12/2.37 (define @t408 () (@var "V_S" $$unsorted)) % 2.12/2.37 (define @t409 () (tptp.hBOOL (tptp.c_in @t1 @t408 @t3))) % 2.12/2.37 (define @t410 () (tptp.hBOOL (tptp.hAPP @t408 @t1))) % 2.12/2.37 (define @t411 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t347 @t75 @t55 @t42)) % 2.12/2.37 (define @t412 () (tptp.hAPP @t53 tptp.v_x)) % 2.12/2.37 (define @t413 () (tptp.tc_fun tptp.t_a @t55)) % 2.12/2.37 (define @t414 () (not @t225)) % 2.12/2.37 (define @t415 () (tptp.hBOOL (tptp.hAPP @t94 @t211))) % 2.12/2.37 (define @t416 () (not @t415)) % 2.12/2.37 (define @t417 () (tptp.hAPP @t209 @t161)) % 2.12/2.37 (define @t418 () (tptp.hAPP @t202 @t417)) % 2.12/2.37 (define @t419 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t418) @t75))) % 2.12/2.37 (define @t420 () (not @t419)) % 2.12/2.37 (define @t421 () (not (tptp.hBOOL (tptp.c_in @t251 @t74 @t3)))) % 2.12/2.37 (define @t422 () (@var "V_M" $$unsorted)) % 2.12/2.37 (define @t423 () (tptp.hAPP @t422 @t251)) % 2.12/2.37 (define @t424 () (tptp.c_lessequals @t55)) % 2.12/2.37 (define @t425 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t55))) % 2.12/2.37 (define @t426 () (tptp.hAPP @t75 @t2)) % 2.12/2.37 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t210 @t42)) % 2.12/2.37 (define @t428 () (tptp.hAPP @t427 @t75)) % 2.12/2.37 (define @t429 () (@list @t1 @t3 @t74 @t75)) % 2.12/2.37 (define @t430 () (not (tptp.hBOOL (tptp.c_in @t1 @t148 @t3)))) % 2.12/2.37 (define @t431 () (tptp.c_COMBK @t148 @t42 @t55)) % 2.12/2.37 (define @t432 () (tptp.c_Product__Type_OSigma @t75 @t431 @t55 @t3)) % 2.12/2.37 (define @t433 () (tptp.c_Product__Type_OSigma @t74 @t431 @t55 @t3)) % 2.12/2.37 (define @t434 () (@var "V_com_H" $$unsorted)) % 2.12/2.37 (define @t435 () (@var "V_fun_H" $$unsorted)) % 2.12/2.37 (define @t436 () (tptp.c_Com_Ocom_OWhile @t435 @t434)) % 2.12/2.37 (define @t437 () (@list @t435 @t434)) % 2.12/2.37 (define @t438 () (@var "V_com" $$unsorted)) % 2.12/2.37 (define @t439 () (@var "V_fun" $$unsorted)) % 2.12/2.37 (define @t440 () (tptp.c_Com_Ocom_OWhile @t439 @t438)) % 2.12/2.37 (define @t441 () (tptp.c_Collect @t312 @t3)) % 2.12/2.37 (define @t442 () (@list @t312 @t3)) % 2.12/2.37 (define @t443 () (forall @t442 (= @t441 @t312))) % 2.12/2.37 (define @t444 () (@var "V_com2_H" $$unsorted)) % 2.12/2.37 (define @t445 () (= @t405 @t444)) % 2.12/2.37 (define @t446 () (@var "V_com1_H" $$unsorted)) % 2.12/2.37 (define @t447 () (tptp.c_Com_Ocom_OSemi @t446 @t444)) % 2.12/2.37 (define @t448 () (not (= @t407 @t447))) % 2.12/2.37 (define @t449 () (@list @t406 @t405 @t446 @t444)) % 2.12/2.37 (define @t450 () (= @t406 @t446)) % 2.12/2.37 (define @t451 () (tptp.c_Complete__Lattice_OSup__class_OSup @t3)) % 2.12/2.37 (define @t452 () (tptp.hAPP @t451 @t74)) % 2.12/2.37 (define @t453 () (tptp.c_Com_Ocom_OCond @t435 @t446 @t444)) % 2.12/2.37 (define @t454 () (= @t241 @t161)) % 2.12/2.37 (define @t455 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t75 @t55 @t42)) % 2.12/2.37 (define @t456 () (@list @t74 @t75 @t55 @t3 @t1)) % 2.12/2.37 (define @t457 () (tptp.c_Com_Ocom_OCond @t439 @t406 @t405)) % 2.12/2.37 (define @t458 () (tptp.hBOOL (tptp.c_in @t28 @t203 @t3))) % 2.12/2.37 (define @t459 () (not @t458)) % 2.12/2.37 (define @t460 () (@list @t28 @t74 @t3 @t75)) % 2.12/2.37 (define @t461 () (not @t308)) % 2.12/2.37 (define @t462 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t75 @t55 @t42)) % 2.12/2.37 (define @t463 () (not (tptp.hBOOL (tptp.c_in @t6 @t462 @t3)))) % 2.12/2.37 (define @t464 () (not (tptp.hBOOL (tptp.c_in @t2 @t74 @t55)))) % 2.12/2.37 (define @t465 () (tptp.hBOOL (tptp.c_in @t6 @t426 @t3))) % 2.12/2.37 (define @t466 () (tptp.hBOOL (tptp.c_in @t6 @t241 @t3))) % 2.12/2.37 (define @t467 () (tptp.c_fequal @t3)) % 2.12/2.37 (define @t468 () (tptp.hAPP (tptp.c_COMBC @t467 @t3 @t3 tptp.tc_bool) @t2)) % 2.12/2.37 (define @t469 () (@list @t3 @t2)) % 2.12/2.37 (define @t470 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t253 @t74 @t3 @t238)) % 2.12/2.37 (define @t471 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t238)) % 2.12/2.37 (define @t472 () (not (= @t457 @t453))) % 2.12/2.37 (define @t473 () (@list @t439 @t406 @t405 @t435 @t446 @t444)) % 2.12/2.37 (define @t474 () (= @t439 @t435)) % 2.12/2.37 (define @t475 () (tptp.hBOOL (tptp.c_in @t338 (tptp.hAPP @t118 @t244) @t55))) % 2.12/2.37 (define @t476 () (tptp.c_Set_Oinsert @t14 @t3)) % 2.12/2.37 (define @t477 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t43 @t418) @t75))) % 2.12/2.37 (define @t478 () (not @t477)) % 2.12/2.37 (define @t479 () (not (tptp.hBOOL (tptp.hAPP @t205 @t231)))) % 2.12/2.37 (define @t480 () (@list @t3 @t166 @t231)) % 2.12/2.37 (define @t481 () (@var "V_N" $$unsorted)) % 2.12/2.37 (define @t482 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t422) @t481)))) % 2.12/2.37 (define @t483 () (= @t422 @t161)) % 2.12/2.37 (define @t484 () (not (tptp.c_Finite__Set_Ofinite @t481 @t3))) % 2.12/2.37 (define @t485 () (@list @t55 @t74 @t3 @t75)) % 2.12/2.37 (define @t486 () (tptp.hAPP @t202 @t349)) % 2.12/2.37 (define @t487 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t148 @t363 @t55 @t42)) % 2.12/2.37 (define @t488 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun (tptp.tc_prod @t55 @t3) tptp.tc_bool)) @t433) @t432))) % 2.12/2.37 (define @t489 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t74) @t75))) % 2.12/2.37 (define @t490 () (@list @t54 @t71 @t74 @t1 @t14 @t3 @t55)) % 2.12/2.37 (define @t491 () (@list @t435 @t446 @t444)) % 2.12/2.37 (define @t492 () (tptp.hAPP @t93 @t203)) % 2.12/2.37 (define @t493 () (tptp.hBOOL (tptp.hAPP @t312 @t2))) % 2.12/2.37 (define @t494 () (tptp.hBOOL (tptp.c_in @t2 @t441 @t3))) % 2.12/2.37 (define @t495 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t210) @t75))) % 2.12/2.37 (define @t496 () (not @t495)) % 2.12/2.37 (define @t497 () (@list @t1 @t75 @t3 @t74)) % 2.12/2.37 (define @t498 () (@list @t54 @t1 @t55 @t3 @t74)) % 2.12/2.37 (define @t499 () (tptp.hAPP @t289 @t74)) % 2.12/2.37 (define @t500 () (tptp.c_Collect @t468 @t3)) % 2.12/2.37 (define @t501 () (@list @t2 @t3 @t75)) % 2.12/2.37 (define @t502 () (= @t241 @t130)) % 2.12/2.37 (define @t503 () (tptp.hAPP @t382 @t74)) % 2.12/2.37 (define @t504 () (tptp.hAPP @t381 @t74)) % 2.12/2.37 (define @t505 () (= @t17 @t121)) % 2.12/2.37 (define @t506 () (@var "V_pname" $$unsorted)) % 2.12/2.37 (define @t507 () (not (= @t440 @t436))) % 2.12/2.37 (define @t508 () (@list @t439 @t438 @t435 @t434)) % 2.12/2.37 (define @t509 () (= @t438 @t434)) % 2.12/2.37 (define @t510 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod @t3 @t55) tptp.tc_bool))) % 2.12/2.37 (define @t511 () (= (tptp.hAPP @t16 @t17) @t17)) % 2.12/2.37 (define @t512 () (tptp.hBOOL (tptp.hAPP @t241 @t6))) % 2.12/2.37 (define @t513 () (tptp.hBOOL (tptp.hAPP @t239 @t6))) % 2.12/2.37 (define @t514 () (tptp.hBOOL (tptp.hAPP @t426 @t6))) % 2.12/2.37 (define @t515 () (@list @t403)) % 2.12/2.37 (define @t516 () (tptp.hBOOL (tptp.c_in @t100 @t183 @t3))) % 2.12/2.37 (define @t517 () (tptp.hBOOL (tptp.hAPP @t94 @t396))) % 2.12/2.37 (define @t518 () (tptp.hBOOL (tptp.hAPP @t492 @t148))) % 2.12/2.37 (define @t519 () (tptp.hAPP @t53 @t1)) % 2.12/2.37 (define @t520 () (tptp.tc_Hoare__Mirabelle_Otriple @t3)) % 2.12/2.37 (define @t521 () (tptp.tc_fun @t520 tptp.tc_bool)) % 2.12/2.37 (define @t522 () (tptp.c_Orderings_Obot__class_Obot @t521)) % 2.12/2.37 (define @t523 () (tptp.c_Hoare__Mirabelle_Opeek__and @t312 @t6 @t3)) % 2.12/2.37 (define @t524 () (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t523 @t28 @t312 @t3) @t520) @t522)) % 2.12/2.37 (define @t525 () (tptp.c_Hoare__Mirabelle_Opeek__and @t312 (tptp.c_Fun_Ocomp tptp.c_Not @t6 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t3)) % 2.12/2.37 (define @t526 () (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 (tptp.c_Com_Ocom_OWhile @t6 @t28) @t525 @t3) @t520) @t522)) % 2.12/2.37 (define @t527 () (@list @t78 @t312 @t6 @t28 @t3)) % 2.12/2.37 (define @t528 () (not (= (tptp.hAPP (tptp.hAPP @t15 @t74) @t75) @t332))) % 2.12/2.37 (define @t529 () (tptp.hAPP @t80 @t161)) % 2.12/2.37 (define @t530 () (= @t74 @t347)) % 2.12/2.37 (define @t531 () (tptp.hBOOL (tptp.hAPP @t312 @t1))) % 2.12/2.37 (define @t532 () (not @t531)) % 2.12/2.37 (define @t533 () (not (tptp.hBOOL (tptp.c_in @t1 @t161 @t3)))) % 2.12/2.37 (define @t534 () (@list @t1 @t3)) % 2.12/2.37 (define @t535 () (@list @t312 @t1 @t3)) % 2.12/2.37 (define @t536 () (tptp.hAPP @t93 @t161)) % 2.12/2.37 (define @t537 () (@list @t74 @t3)) % 2.12/2.37 (define @t538 () (tptp.hAPP @t128 @t347)) % 2.12/2.37 (define @t539 () (not (= @t257 @t161))) % 2.12/2.37 (define @t540 () (tptp.hAPP @t242 @t244)) % 2.12/2.37 (define @t541 () (@list @t1 @t3 @t74)) % 2.12/2.37 (define @t542 () (@var "V_D" $$unsorted)) % 2.12/2.37 (define @t543 () (tptp.hBOOL (tptp.c_in @t2 (tptp.hAPP @t360 @t74) @t3))) % 2.12/2.37 (define @t544 () (tptp.hAPP @t360 @t75)) % 2.12/2.37 (define @t545 () (tptp.hAPP @t378 @t2)) % 2.12/2.37 (define @t546 () (tptp.hAPP @t377 @t2)) % 2.12/2.37 (define @t547 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t41) @t40))) % 2.12/2.37 (define @t548 () (not @t547)) % 2.12/2.37 (define @t549 () (tptp.hAPP @t54 @t519)) % 2.12/2.37 (define @t550 () (tptp.hAPP (tptp.c_Fun_Ocomp @t54 @t53 @t55 @t3 @t127) @t1)) % 2.12/2.37 (define @t551 () (@var "V_v" $$unsorted)) % 2.12/2.37 (define @t552 () (tptp.c_Fun_Ocomp @t2 @t6 @t127 @t55 @t3)) % 2.12/2.37 (define @t553 () (tptp.hAPP @t2 (tptp.hAPP @t6 @t551))) % 2.12/2.37 (define @t554 () (tptp.hBOOL (tptp.hAPP @t257 @t1))) % 2.12/2.37 (define @t555 () (tptp.hBOOL @t254)) % 2.12/2.37 (define @t556 () (tptp.hBOOL @t241)) % 2.12/2.37 (define @t557 () (not @t555)) % 2.12/2.37 (define @t558 () (tptp.hBOOL (tptp.c_in @t28 @t257 @t3))) % 2.12/2.37 (define @t559 () (@list @t3 @t74 @t75 @t55 @t1)) % 2.12/2.37 (define @t560 () (tptp.c_HOL_Ominus__class_Ominus @t148 @t42)) % 2.12/2.37 (define @t561 () (@list @t3 @t74 @t75 @t148 @t542)) % 2.12/2.37 (define @t562 () (@list @t55)) % 2.12/2.37 (define @t563 () (= @t17 @t14)) % 2.12/2.37 (define @t564 () (= @t257 @t75)) % 2.12/2.37 (define @t565 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 2.12/2.37 (define @t566 () (= @t161 @t41)) % 2.12/2.37 (define @t567 () (@var "V_f_H" $$unsorted)) % 2.12/2.37 (define @t568 () (@var "V_upd" $$unsorted)) % 2.12/2.37 (define @t569 () (tptp.hAPP @t568 @t54)) % 2.12/2.37 (define @t570 () (tptp.hAPP @t569 @t1)) % 2.12/2.37 (define @t571 () (@var "V_acc" $$unsorted)) % 2.12/2.37 (define @t572 () (tptp.hAPP @t571 @t1)) % 2.12/2.37 (define @t573 () (tptp.hAPP @t54 @t572)) % 2.12/2.37 (define @t574 () (not (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t568 @t571 @t3 @t55))) % 2.12/2.37 (define @t575 () (not (= @t573 @t572))) % 2.12/2.37 (define @t576 () (@var "T_d" $$unsorted)) % 2.12/2.37 (define @t577 () (@list @t446 @t444)) % 2.12/2.37 (define @t578 () (@var "V_r" $$unsorted)) % 2.12/2.37 (define @t579 () (@list @t28 @t3 @t74 @t75)) % 2.12/2.37 (define @t580 () (not @t386)) % 2.12/2.37 (define @t581 () (tptp.hBOOL (tptp.hAPP @t64 @t329))) % 2.12/2.37 (define @t582 () (not @t388)) % 2.12/2.37 (define @t583 () (not @t390)) % 2.12/2.37 (define @t584 () (@var "V_t" $$unsorted)) % 2.12/2.37 (define @t585 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t312) @t311)))) % 2.12/2.37 (define @t586 () (tptp.hBOOL (tptp.hAPP @t311 @t1))) % 2.12/2.37 (define @t587 () (not (tptp.hBOOL (tptp.hAPP @t352 @t6)))) % 2.12/2.37 (define @t588 () (@var "T_e" $$unsorted)) % 2.12/2.37 (define @t589 () (@var "V_g_H" $$unsorted)) % 2.12/2.37 (define @t590 () (tptp.hAPP (tptp.hAPP @t471 @t74) @t75)) % 2.12/2.37 (define @t591 () (tptp.hAPP @t467 @t1)) % 2.12/2.37 (define @t592 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t175) @t176))) % 2.12/2.37 (define @t593 () (tptp.c_COMBK @t28 @t42 @t55)) % 2.12/2.37 (define @t594 () (@list @t55 @t28 @t3)) % 2.12/2.37 (define @t595 () (@var "V_va" $$unsorted)) % 2.12/2.37 (define @t596 () (@var "V_xc" $$unsorted)) % 2.12/2.37 (define @t597 () (@var "V_xb" $$unsorted)) % 2.12/2.37 (define @t598 () (@var "V_f1" $$unsorted)) % 2.12/2.37 (define @t599 () (@var "V_fun2" $$unsorted)) % 2.12/2.37 (define @t600 () (@var "V_fun1" $$unsorted)) % 2.12/2.37 (define @t601 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t598 @t600) @t438) @t599)) % 2.12/2.37 (define @t602 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t600 @t438 @t599 @t55)) % 2.12/2.37 (define @t603 () (@list @t598 @t600 @t438 @t599 @t55 @t3)) % 2.12/2.37 (define @t604 () (@var "V_ts_H" $$unsorted)) % 2.12/2.37 (define @t605 () (@var "V_ts" $$unsorted)) % 2.12/2.37 (define @t606 () (tptp.c_lessequals @t521)) % 2.12/2.37 (define @t607 () (tptp.hAPP @t606 @t605)) % 2.12/2.37 (define @t608 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t605 @t3)) % 2.12/2.37 (define @t609 () (@var "V_G_H" $$unsorted)) % 2.12/2.37 (define @t610 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t609 @t605 @t3))) % 2.12/2.37 (define @t611 () (@list @t78 @t605 @t3 @t609)) % 2.12/2.37 (define @t612 () (not @t608)) % 2.12/2.37 (define @t613 () (@list @t78 @t605 @t3)) % 2.12/2.37 (define @t614 () (tptp.hBOOL (tptp.hAPP @t312 tptp.c_False))) % 2.12/2.37 (define @t615 () (@list @t312)) % 2.12/2.37 (define @t616 () (@var "V_f2" $$unsorted)) % 2.12/2.37 (define @t617 () (@list @t598 @t616 @t3)) % 2.12/2.37 (define @t618 () (@var "V_pn" $$unsorted)) % 2.12/2.37 (define @t619 () (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 (tptp.c_Option_Othe (tptp.c_Com_Obody @t618) tptp.tc_Com_Ocom) @t311 @t3) @t520) @t522)) % 2.12/2.37 (define @t620 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 (tptp.c_Com_Ocom_OBODY @t618) @t311 @t3) @t520)) % 2.12/2.37 (define @t621 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP @t620 @t522) @t3)) % 2.12/2.37 (define @t622 () (@list @t78 @t312 @t618 @t311 @t3)) % 2.12/2.37 (define @t623 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t417 @t3)) % 2.12/2.37 (define @t624 () (tptp.c_COMBK @t422 @t55 @t3)) % 2.12/2.37 (define @t625 () (@list @t55 @t74 @t422 @t3)) % 2.12/2.37 (define @t626 () (tptp.c_Set_Oimage (tptp.c_COMBK @t28 @t3 @t55) @t55 @t3)) % 2.12/2.37 (define @t627 () (@list @t74 @t28 @t3 @t55)) % 2.12/2.37 (define @t628 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 2.12/2.37 (define @t629 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t628 tptp.tc_bool))) % 2.12/2.37 (define @t630 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 2.12/2.37 (define @t631 () (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t78 @t312 @t311 @t28)) % 2.12/2.37 (define @t632 () (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t78 @t312 @t311 @t28)) % 2.12/2.37 (define @t633 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 @t28 @t311 tptp.t_a) @t628) @t629) tptp.t_a)) % 2.12/2.37 (define @t634 () (@list @t78 @t312 @t28 @t311)) % 2.12/2.37 (define @t635 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t1 @t28 @t248 tptp.t_a) @t628) @t629) tptp.t_a))) % 2.12/2.37 (define @t636 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t78 @t312 @t311 @t28)) % 2.12/2.37 (define @t637 () (@var "V_Z_H" $$unsorted)) % 2.12/2.37 (define @t638 () (tptp.hAPP @t1 @t637)) % 2.12/2.37 (define @t639 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t78 @t312 @t311 @t28 @t1 @t248)) % 2.12/2.37 (define @t640 () (tptp.hAPP @t248 @t637)) % 2.12/2.37 (define @t641 () (@list @t78 @t312 @t28 @t311 @t248 @t637 @t1)) % 2.12/2.37 (define @t642 () (@var "V_Q_H" $$unsorted)) % 2.12/2.37 (define @t643 () (@var "V_P_H" $$unsorted)) % 2.12/2.37 (define @t644 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t643 @t28 @t642 tptp.t_a) @t628) @t629) tptp.t_a))) % 2.12/2.37 (define @t645 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t312 @t643 @t311 @t642)) % 2.12/2.37 (define @t646 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t312 @t643 @t311 @t642)) % 2.12/2.37 (define @t647 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t78 @t312 @t311 @t28)) % 2.12/2.37 (define @t648 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t78 @t312 @t311 @t28 @t1 @t248)) % 2.12/2.37 (define @t649 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t78 @t312 @t311 @t28)) % 2.12/2.37 (define @t650 () (@list @t78 @t312 @t28 @t311 @t1 @t248)) % 2.12/2.37 (define @t651 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t78 @t312 @t311 @t28)) % 2.12/2.37 (define @t652 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 @t28 @t642 tptp.t_a) @t628) @t629) tptp.t_a))) % 2.12/2.37 (define @t653 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 @t311 @t642)) % 2.12/2.37 (define @t654 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 @t311 @t642)) % 2.12/2.37 (define @t655 () (@list @t78 @t312 @t28 @t311 @t642)) % 2.12/2.37 (define @t656 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t312 @t643 @t311 @t642)) % 2.12/2.37 (define @t657 () (@list @t78 @t312 @t28 @t311 @t643 @t642)) % 2.12/2.37 (define @t658 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t643 @t28 @t311 tptp.t_a) @t628) @t629) tptp.t_a))) % 2.12/2.37 (define @t659 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t312 @t643)) % 2.12/2.37 (define @t660 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t312 @t643)) % 2.12/2.37 (define @t661 () (@list @t78 @t312 @t28 @t311 @t643)) % 2.12/2.37 (define @t662 () (tptp.c_Set_Oinsert @t28 @t3)) % 2.12/2.37 (define @t663 () (tptp.c_COMBK tptp.c_False tptp.tc_bool @t3)) % 2.12/2.37 (define @t664 () (tptp.c_Set_Oinsert @t584 @t520)) % 2.12/2.37 (define @t665 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP @t664 @t522) @t3)) % 2.12/2.37 (define @t666 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP @t664 @t605) @t3)) % 2.12/2.37 (define @t667 () (@list @t78 @t584 @t3 @t605)) % 2.12/2.37 (define @t668 () (not @t666)) % 2.12/2.37 (define @t669 () (@var "V_fun2_H" $$unsorted)) % 2.12/2.37 (define @t670 () (@var "V_fun1_H" $$unsorted)) % 2.12/2.37 (define @t671 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t600 @t438 @t599 @t3) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t670 @t434 @t669 @t3)))) % 2.12/2.37 (define @t672 () (@list @t600 @t438 @t599 @t3 @t670 @t434 @t669)) % 2.12/2.37 (define @t673 () (= @t6 @t33)) % 2.12/2.37 (define @t674 () (= @t6 @t28)) % 2.12/2.37 (define @t675 () (not (= @t362 (tptp.hAPP @t662 (tptp.hAPP (tptp.c_Set_Oinsert @t33 @t3) @t161))))) % 2.12/2.37 (define @t676 () (@list @t2 @t3 @t6 @t28 @t33)) % 2.12/2.37 (define @t677 () (= @t2 @t33)) % 2.12/2.37 (define @t678 () (tptp.hAPP @t476 @t74)) % 2.12/2.37 (define @t679 () (tptp.hBOOL (tptp.hAPP @t678 @t1))) % 2.12/2.37 (define @t680 () (tptp.hAPP (tptp.c_COMBK @t312 @t3 @t55) @t311)) % 2.12/2.37 (define @t681 () (forall (@list @t312 @t3 @t55 @t311) (= @t680 @t312))) % 2.12/2.37 (define @t682 () (tptp.c_Set_Oinsert @t248 @t3)) % 2.12/2.37 (define @t683 () (tptp.c_COMBK tptp.c_False tptp.tc_bool tptp.tc_Com_Ostate)) % 2.12/2.37 (define @t684 () (tptp.c_COMBK @t683 @t630 tptp.t_a)) % 2.12/2.37 (define @t685 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t684 tptp.v_c tptp.v_Q tptp.t_a) @t628) @t629) tptp.t_a)) % 2.12/2.37 (define @t686 () (@var "T_2" $$unsorted)) % 2.12/2.37 (define @t687 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t686))) % 2.12/2.37 (define @t688 () (@var "T_1" $$unsorted)) % 2.12/2.37 (define @t689 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t688))) % 2.12/2.37 (define @t690 () (@list @t686 @t688)) % 2.12/2.37 (define @t691 () (tptp.tc_fun @t686 @t688)) % 2.12/2.37 (define @t692 () (not (tptp.class_Lattices_Olattice @t688))) % 2.12/2.37 (define @t693 () (@var "V_Y" $$unsorted)) % 2.12/2.37 (define @t694 () (@var "V_X" $$unsorted)) % 2.12/2.37 (define @t695 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G @t684 tptp.v_Q tptp.v_c)) % 2.12/2.37 (define @t696 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G @t684 tptp.v_Q tptp.v_c)) % 2.12/2.37 (define @t697 () (tptp.hAPP (tptp.hAPP @t684 @t696) @t695)) % 2.12/2.37 (define @t698 () (tptp.hBOOL @t697)) % 2.12/2.37 (define @t699 () (or @t685 @t698)) % 2.12/2.37 (assume @p1 (forall @t12 (or @t11 @t10 (not (tptp.hBOOL (tptp.hAPP @t5 @t1)))))) % 2.12/2.37 (assume @p2 (forall @t12 (or @t11 @t10 (not (tptp.hBOOL (tptp.hAPP @t13 @t1)))))) % 2.12/2.37 (assume @p3 (forall @t20 (or @t19 (= (tptp.hAPP @t18 @t17) @t1)))) % 2.12/2.37 (assume @p4 (forall @t20 (or @t26 @t25 @t24 @t22))) % 2.12/2.37 (assume @p5 (forall @t27 (or @t26 @t22 @t25 @t24))) % 2.12/2.37 (assume @p6 (forall @t27 (or @t26 @t22 @t24 @t25))) % 2.12/2.37 (assume @p7 (forall @t20 (or @t26 @t25 @t22 @t24))) % 2.12/2.37 (assume @p8 (forall @t27 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t3)) @t22 @t24 @t25))) % 2.12/2.37 (assume @p9 (forall @t46 (or @t45 @t44 @t39 (not @t37) @t36 @t32))) % 2.12/2.37 (assume @p10 (forall @t46 (or @t45 @t44 @t39 (not @t47) @t36 @t32))) % 2.12/2.37 (assume @p11 (forall @t20 (or @t19 (= (tptp.hAPP @t16 @t48) @t1)))) % 2.12/2.37 (assume @p12 (forall @t52 (or @t51 @t50))) % 2.12/2.37 (assume @p13 (forall @t52 (or @t26 @t50))) % 2.12/2.37 (assume @p14 (forall @t52 (or @t45 @t50))) % 2.12/2.37 (assume @p15 (forall @t63 (or @t62 @t61 @t60 @t59))) % 2.12/2.37 (assume @p16 (forall @t52 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t43 @t1) @t1))))) % 2.12/2.37 (assume @p17 (forall @t20 (or @t51 @t24 @t68 @t66))) % 2.12/2.37 (assume @p18 (forall @t52 (or @t70 (= (tptp.hAPP (tptp.hAPP @t7 @t69) @t1) @t1)))) % 2.12/2.37 (assume @p19 (forall @t52 (or @t70 (= (tptp.hAPP @t18 @t69) @t1)))) % 2.12/2.37 (assume @p20 (forall @t73 (= (tptp.c_Fun_Ofun__upd @t72 @t1 @t71 @t3 @t55) (tptp.c_Fun_Ofun__upd @t54 @t1 @t71 @t3 @t55)))) % 2.12/2.37 (assume @p21 (forall @t77 (or @t70 @t76 (= @t74 @t69)))) % 2.12/2.37 (assume @p22 (forall @t77 (or @t70 @t76 (= @t75 @t69)))) % 2.12/2.37 (assume @p23 (forall (@list @t78 @t3 @t79) (or @t83 @t82))) % 2.12/2.37 (assume @p24 (forall (@list @t79 @t3 @t78) (or @t84 @t82))) % 2.12/2.37 (assume @p25 (forall @t89 (or @t11 @t88))) % 2.12/2.37 (assume @p26 (forall @t77 (or @t95 @t92))) % 2.12/2.37 (assume @p27 (forall @t63 (or @t62 @t58 @t96))) % 2.12/2.37 (assume @p28 (forall @t20 (or @t45 @t65 @t97))) % 2.12/2.37 (assume @p29 (forall @t20 (or @t51 @t65 @t97))) % 2.12/2.37 (assume @p30 (forall (@list @t99 @t3 @t55 @t79) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.c_Set_Oimage @t99 @t3 @t55) @t79) @t55) @t98))) % 2.12/2.37 (assume @p31 (forall @t101 (= (tptp.c_Fun_Ofun__upd @t54 @t1 @t100 @t55 @t3) @t54))) % 2.12/2.37 (assume @p32 (forall (@list @t54 @t1 @t14 @t55 @t3) (= (tptp.hAPP @t102 @t1) @t14))) % 2.12/2.37 (assume @p33 (forall (@list @t54 @t1 @t3 @t55) (= (tptp.c_Fun_Ofun__upd @t54 @t1 @t100 @t3 @t55) @t54))) % 2.12/2.37 (assume @p34 (forall (@list @t54 @t1 @t14 @t3 @t103) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t54 @t1 @t14 @t3 @t103) @t1) @t14))) % 2.12/2.37 (assume @p35 (forall (@list @t54 @t1 @t103 @t3) (= (tptp.c_Fun_Ofun__upd @t54 @t1 @t100 @t103 @t3) @t54))) % 2.12/2.37 (assume @p36 (forall @t20 (or @t19 @t105))) % 2.12/2.37 (assume @p37 (forall @t20 (or @t19 @t106))) % 2.12/2.37 (assume @p38 (forall @t89 (or @t11 @t109 @t108 @t66))) % 2.12/2.37 (assume @p39 (forall @t115 (or @t11 @t114 @t113 @t111))) % 2.12/2.37 (assume @p40 (forall @t20 (or @t11 @t106))) % 2.12/2.37 (assume @p41 (forall @t20 (or @t11 @t105))) % 2.12/2.37 (assume @p42 (forall (@list @t54 @t1 @t14 @t3 @t55 @t74) (or (tptp.c_Fun_Oinj__on @t72 @t74 @t3 @t55) (tptp.hBOOL (tptp.c_in @t14 @t119 @t55)) @t117))) % 2.12/2.37 (assume @p43 (forall @t123 (or @t122 (= (tptp.hAPP (tptp.hAPP @t15 @t86) @t1) (tptp.hAPP (tptp.hAPP @t7 @t121) (tptp.hAPP (tptp.hAPP @t15 @t71) @t1)))))) % 2.12/2.37 (assume @p44 (forall @t89 (or @t122 (= @t126 @t125)))) % 2.12/2.37 (assume @p45 (forall (@list @t54 @t55 @t3 @t53 @t127 @t74) (= (tptp.hAPP @t128 (tptp.hAPP (tptp.c_Set_Oimage @t53 @t127 @t55) @t74)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_COMBB @t54 @t53 @t55 @t3 @t127) @t127 @t3) @t74)))) % 2.12/2.37 (assume @p46 (forall @t20 (or @t19 @t129))) % 2.12/2.37 (assume @p47 (forall @t20 (or @t11 @t129))) % 2.12/2.37 (assume @p48 (forall @t132 (or @t131 (tptp.c_Finite__Set_Ofinite @t130 @t3)))) % 2.12/2.37 (assume @p49 (forall @t52 (or @t11 (= (tptp.hAPP @t18 @t1) @t1)))) % 2.12/2.37 (assume @p50 (forall @t138 (or @t45 @t137 @t135 @t133))) % 2.12/2.37 (assume @p51 (forall @t138 (or @t45 @t137 @t140 @t139))) % 2.12/2.37 (assume @p52 (forall @t144 (or @t116 @t143 @t142))) % 2.12/2.37 (assume @p53 (forall @t147 (or @t146 @t145 @t143))) % 2.12/2.37 (assume @p54 (forall @t153 (or @t152 @t151 @t92))) % 2.12/2.37 (assume @p55 (forall @t153 (or @t152 @t154 @t143))) % 2.12/2.37 (assume @p56 (forall @t147 (or @t146 @t143 @t145))) % 2.12/2.37 (assume @p57 (forall @t157 (or @t51 @t156 @t155 @t66))) % 2.12/2.37 (assume @p58 (forall @t157 (or @t51 @t156 @t159 @t97))) % 2.12/2.37 (assume @p59 (forall @t164 (or @t45 @t163 @t160))) % 2.12/2.37 (assume @p60 (forall @t164 (or @t45 (not @t163) @t165))) % 2.12/2.37 (assume @p61 (forall @t171 (or @t45 @t170 @t168))) % 2.12/2.37 (assume @p62 (forall @t171 (or @t45 (not @t170) @t172))) % 2.12/2.37 (assume @p63 (forall (@list @t54 @t1 @t14 @t55 @t3 @t71) (or (= (tptp.hAPP @t102 @t71) @t174) @t173))) % 2.12/2.37 (assume @p64 (forall @t73 (or (= (tptp.hAPP @t72 @t71) @t174) @t173))) % 2.12/2.37 (assume @p65 (forall @t182 (or @t181 @t180 @t177 @t97))) % 2.12/2.37 (assume @p66 (forall @t182 (or @t181 @t180 @t24 (not @t177)))) % 2.12/2.37 (assume @p67 (forall (@list @t74 @t55 @t54 @t3) (or (tptp.c_Finite__Set_Ofinite @t74 @t55) (not (tptp.c_Fun_Oinj__on @t54 @t74 @t55 @t3)) (not (tptp.c_Finite__Set_Ofinite @t183 @t3))))) % 2.12/2.37 (assume @p68 (forall @t188 (or @t45 @t187 @t186 @t185))) % 2.12/2.37 (assume @p69 (forall @t188 (or @t45 @t187 @t185 @t186))) % 2.12/2.37 (assume @p70 (forall @t77 (or @t91 @t189 @t143))) % 2.12/2.37 (assume @p71 (forall @t20 (or @t45 @t25 @t24 @t66))) % 2.12/2.37 (assume @p72 (forall @t20 (or @t45 @t24 @t25 @t66))) % 2.12/2.37 (assume @p73 (forall @t190 (or @t189 @t91 @t143))) % 2.12/2.37 (assume @p74 (forall @t164 (or @t45 @t160 @t186 @t193))) % 2.12/2.37 (assume @p75 (forall @t164 (or @t45 @t160 @t193 @t186))) % 2.12/2.37 (assume @p76 (forall @t20 (or @t26 @t25 @t66 @t24))) % 2.12/2.37 (assume @p77 (forall @t20 (or @t26 @t25 @t24 @t66))) % 2.12/2.37 (assume @p78 (forall @t164 (or @t45 @t165 @t194))) % 2.12/2.37 (assume @p79 (forall @t20 (or @t26 @t97 @t133))) % 2.12/2.37 (assume @p80 (forall @t27 (or @t51 @t133 @t97))) % 2.12/2.37 (assume @p81 (forall @t188 (or @t51 @t194 @t165))) % 2.12/2.37 (assume @p82 (forall (@list @t3 @t74 @t2) (or @t11 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t198) @t2)) @t197 @t195))) % 2.12/2.37 (assume @p83 (forall (@list @t55 @t54 @t74 @t3 @t75) (or @t204 (= (tptp.c_Finite__Set_Osetsum @t54 @t203 @t3 @t55) (tptp.hAPP @t201 (tptp.c_Finite__Set_Osetsum @t54 @t75 @t3 @t55))) @t199 @t195))) % 2.12/2.37 (assume @p84 (forall @t171 (or @t45 @t206 (not (tptp.hBOOL (tptp.hAPP @t205 @t167)))))) % 2.12/2.37 (assume @p85 (forall @t164 (or @t45 @t163 @t185))) % 2.12/2.37 (assume @p86 (forall (@list @t54 @t71 @t1 @t3 @t74 @t14 @t55) (or (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t210 @t208 @t3 @t55) (not (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t74 @t14 @t3 @t55)) @t207))) % 2.12/2.37 (assume @p87 (forall @t216 (or @t91 @t215 @t213))) % 2.12/2.37 (assume @p88 (forall @t217 (or @t212 @t215 @t92))) % 2.12/2.37 (assume @p89 (forall @t219 (or @t26 @t35 @t184 @t218))) % 2.12/2.37 (assume @p90 (forall @t220 (or @t26 @t31 @t184 @t218))) % 2.12/2.37 (assume @p91 (forall @t89 (or @t19 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t224) @t222))))) % 2.12/2.37 (assume @p92 (forall @t89 (or @t19 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t126) @t125))))) % 2.12/2.37 (assume @p93 (forall @t227 (or (= @t226 @t183) @t225))) % 2.12/2.37 (assume @p94 (forall @t219 (or @t45 @t35 @t193 @t228))) % 2.12/2.37 (assume @p95 (forall @t220 (or @t45 @t31 @t193 @t228))) % 2.12/2.37 (assume @p96 (forall (@list @t3 @t28 @t33 @t2 @t6) (or @t45 @t38 @t228))) % 2.12/2.37 (assume @p97 (forall @t46 (or @t45 @t44 @t39 @t192))) % 2.12/2.37 (assume @p98 (forall @t235 (or @t26 (= (tptp.hAPP (tptp.hAPP @t80 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t166 @t229 @t3)) @t234) @t233) @t232 @t230))) % 2.12/2.37 (assume @p99 (forall @t235 (or @t26 (= (tptp.hAPP @t237 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t229 @t231 @t3)) @t236) @t232 @t230))) % 2.12/2.37 (assume @p100 (forall (@list @t75 @t1 @t55 @t74 @t3) (or (tptp.c_Finite__Set_Ofinite @t241 @t55) @t240 (not (tptp.c_Finite__Set_Ofinite @t239 @t55)) @t195))) % 2.12/2.37 (assume @p101 (forall @t246 (or @t204 (= @t245 @t200) @t196 @t195))) % 2.12/2.37 (assume @p102 (forall (@list @t3 @t1 @t248 @t74) (or @t11 (tptp.hBOOL (tptp.hAPP @t64 @t248)) @t249 (not (tptp.hBOOL (tptp.hAPP @t64 @t198))) @t247 @t195))) % 2.12/2.37 (assume @p103 (forall (@list @t3 @t251 @t229 @t250) (or @t26 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t251 @t229 @t3) @t42) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t251 @t250 @t3)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t250 @t229 @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t251) @t250)))))) % 2.12/2.37 (assume @p104 (forall @t164 (or @t45 @t252 @t194))) % 2.12/2.37 (assume @p105 (forall (@list @t253 @t74 @t3 @t55 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t253 @t74 @t3 @t238) @t55) (not (tptp.c_Finite__Set_Ofinite @t254 @t55)) (not (tptp.hBOOL (tptp.c_in @t1 @t253 @t3)))))) % 2.12/2.37 (assume @p106 (forall (@list @t75 @t55 @t54 @t3 @t74) (or (tptp.c_Finite__Set_Ofinite @t75 @t55) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t75) @t119))) @t195))) % 2.12/2.37 (assume @p107 (forall @t261 (or @t260 @t258 @t189))) % 2.12/2.37 (assume @p108 (forall @t264 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t263 @t55 @t42) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t262 @t75 @t127 @t42)))) % 2.12/2.37 (assume @p109 (forall (@list @t54 @t55 @t3 @t74 @t75 @t127) (= (tptp.hAPP @t128 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t75 @t127 @t238)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 (tptp.c_COMBB @t128 @t75 @t238 @t42 @t127) @t127 @t42)))) % 2.12/2.37 (assume @p110 (forall @t267 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t266 @t75 @t55 @t42) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t265 @t127 @t42)))) % 2.12/2.37 (assume @p111 (forall (@list @t54 @t53 @t127 @t3 @t55) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_COMBB @t54 @t53 @t127 @t3 @t55) @t55 @t3) @t268) (tptp.hAPP @t270 (tptp.hAPP @t269 @t268))))) % 2.12/2.37 (assume @p112 (forall @t261 (or @t260 @t271 @t189))) % 2.12/2.37 (assume @p113 (forall (@list @t74 @t3 @t75 @t2) (or @t275 (not @t274)))) % 2.12/2.37 (assume @p114 (forall @t277 (or @t274 @t276))) % 2.12/2.37 (assume @p115 (forall (@list @t53 @t54 @t55 @t127 @t3 @t74) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t53 @t54 @t55 @t127 @t3) @t74 @t3 @t127) (not (tptp.c_Fun_Oinj__on @t53 @t119 @t55 @t127)) @t117))) % 2.12/2.37 (assume @p116 (forall (@list @t53 @t54 @t3 @t127 @t74 @t55) (or (tptp.c_Fun_Oinj__on @t53 (tptp.hAPP (tptp.c_Set_Oimage @t54 @t3 @t127) @t74) @t127 @t55) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t53 @t54 @t127 @t55 @t3) @t74 @t3 @t55))))) % 2.12/2.37 (assume @p117 (forall @t282 (= @t281 @t279))) % 2.12/2.37 (assume @p118 (forall @t283 (= @t279 @t281))) % 2.12/2.37 (assume @p119 (forall @t267 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t266 @t75 @t55 @t42) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t265 @t127 @t42)))) % 2.12/2.37 (assume @p120 (forall @t264 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t263 @t55 @t42) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t262 @t75 @t127 @t42)))) % 2.12/2.37 (assume @p121 (forall @t287 (= @t286 @t285))) % 2.12/2.37 (assume @p122 (forall @t288 (= @t285 @t286))) % 2.12/2.37 (assume @p123 (forall (@list @t3 @t75 @t253 @t74 @t55) (= (tptp.hAPP @t289 @t290) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t253 (tptp.c_COMBB @t289 @t74 @t42 @t42 @t55) @t55 @t42)))) % 2.12/2.37 (assume @p124 (forall @t295 (or @t294 (= (tptp.hAPP @t291 @t293) (tptp.hAPP @t8 @t292))))) % 2.12/2.37 (assume @p125 (forall @t89 (or @t11 @t296))) % 2.12/2.37 (assume @p126 (forall @t89 (or @t19 @t296))) % 2.12/2.37 (assume @p127 (forall @t89 (or @t19 @t88))) % 2.12/2.37 (assume @p128 (forall (@list @t54 @t3 @t74) (or (= @t297 @t74) (not @t298) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t297) @t74))) @t195))) % 2.12/2.37 (assume @p129 (forall @t301 (or @t300 @t271 @t25))) % 2.12/2.37 (assume @p130 (forall (@list @t229 @t2 @t6 @t3 @t55 @t28 @t33) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t229 @t2 @t6 @t3 @t55) @t28 @t33 @t3 @t55) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t229 @t28 @t33 @t3 @t55) @t2 @t6 @t3 @t55)) @t302))) % 2.12/2.37 (assume @p131 (forall (@list @t3 @t79 @t78) (or @t81 (not @t83) @t98))) % 2.12/2.37 (assume @p132 (forall @t147 (or @t275 @t195 @t145))) % 2.12/2.37 (assume @p133 (forall @t147 (or @t146 @t276 @t145))) % 2.12/2.37 (assume @p134 (forall @t304 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals @t303) (tptp.c_Orderings_Obot__class_Obot @t303)) @t75)))) % 2.12/2.37 (assume @p135 (forall (@list @t54 @t74 @t3 @t75 @t55) (or (tptp.c_Fun_Oinj__on @t54 @t203 @t3 @t55) @t117))) % 2.12/2.37 (assume @p136 (forall @t147 (or @t275 @t195))) % 2.12/2.37 (assume @p137 (forall @t171 (or @t45 (not @t206) @t172))) % 2.12/2.37 (assume @p138 (forall @t171 (or @t45 @t206 @t168))) % 2.12/2.37 (assume @p139 (forall (@list @t54 @t53 @t3 @t127 @t55) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_COMBB @t54 @t53 @t3 @t127 @t55) @t55 @t127) @t268) @t127) (not (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.c_Set_Oimage @t53 @t55 @t3) @t268) @t3))))) % 2.12/2.37 (assume @p140 (forall (@list @t74 @t3 @t54 @t71 @t1 @t55) (or @t146 (not (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t74 @t1 @t3 @t55))))) % 2.12/2.37 (assume @p141 (forall @t89 (or @t122 (= @t222 @t224)))) % 2.12/2.37 (assume @p142 (forall @t123 (or @t122 (= (tptp.hAPP (tptp.hAPP @t7 @t221) @t1) (tptp.hAPP (tptp.hAPP @t15 @t305) (tptp.hAPP (tptp.hAPP @t7 @t71) @t1)))))) % 2.12/2.37 (assume @p143 (forall @t157 (or @t51 @t156 @t155 @t97))) % 2.12/2.37 (assume @p144 (forall @t153 (or @t152 @t154 @t92))) % 2.12/2.37 (assume @p145 (forall @t309 (or @t308 @t307 @t92))) % 2.12/2.37 (assume @p146 (forall @t138 (or @t45 @t137 @t140 @t133))) % 2.12/2.37 (assume @p147 (forall (@list @t312 @t311 @t55 @t3 @t127 @t310) (= (tptp.hAPP (tptp.c_COMBB @t312 @t311 @t55 @t3 @t127) @t310) (tptp.hAPP @t312 (tptp.hAPP @t311 @t310))))) % 2.12/2.37 (assume @p148 (forall @t20 (or @t26 @t24 @t68))) % 2.12/2.37 (assume @p149 (forall @t52 (or @t26 (not @t313) @t50))) % 2.12/2.37 (assume @p150 (forall @t52 (or @t26 @t49 @t313))) % 2.12/2.37 (assume @p151 (forall @t20 (or @t26 @t97 @t139))) % 2.12/2.37 (assume @p152 (forall @t27 (or @t26 @t68 @t24))) % 2.12/2.37 (assume @p153 (forall @t20 (or @t26 @t66 @t133))) % 2.12/2.37 (assume @p154 (forall @t27 (or @t26 @t22 @t65))) % 2.12/2.37 (assume @p155 (forall (@list @t55 @t3 @t53 @t54) (or @t62 (not @t60) @t96))) % 2.12/2.37 (assume @p156 (forall @t27 (or @t51 @t139 @t97))) % 2.12/2.37 (assume @p157 (forall (@list @t54 @t53 @t1 @t14 @t3 @t127 @t55) (= (tptp.c_Fun_Ocomp @t54 (tptp.c_Fun_Ofun__upd @t53 @t1 @t14 @t3 @t127) @t127 @t55 @t3) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ocomp @t54 @t53 @t127 @t55 @t3) @t1 @t299 @t3 @t55)))) % 2.12/2.37 (assume @p158 (forall @t315 (or @t300 @t314 @t240 @t25 @t117))) % 2.12/2.37 (assume @p159 (forall @t315 (or @t300 @t314 @t240 @t117 @t25))) % 2.12/2.37 (assume @p160 (forall (@list @t54 @t1 @t248 @t74 @t3 @t55) (or (not (= @t100 (tptp.hAPP @t54 @t248))) @t249 @t240 @t117 (= @t1 @t248)))) % 2.12/2.37 (assume @p161 (forall @t315 (or @t300 @t117 @t25 @t314 @t240))) % 2.12/2.37 (assume @p162 (forall @t20 (or @t11 @t316 @t66))) % 2.12/2.37 (assume @p163 (forall @t20 (or @t11 (not @t316) @t65))) % 2.12/2.37 (assume @p164 (forall @t20 (or @t11 (= @t48 @t14) @t139))) % 2.12/2.37 (assume @p165 (forall @t20 (or @t11 @t317))) % 2.12/2.37 (assume @p166 (forall @t20 (or @t19 @t317))) % 2.12/2.37 (assume @p167 (forall @t115 (or @t11 @t110 @t318))) % 2.12/2.37 (assume @p168 (forall (@list @t3 @t1 @t6 @t2) (or @t11 @t112 @t318))) % 2.12/2.37 (assume @p169 (forall @t12 (or @t11 @t321 @t320))) % 2.12/2.37 (assume @p170 (forall @t12 (or @t11 @t321 @t323))) % 2.12/2.37 (assume @p171 (forall @t89 (or @t11 @t65 @t324))) % 2.12/2.37 (assume @p172 (forall @t157 (or @t11 @t107 @t324))) % 2.12/2.37 (assume @p173 (forall @t164 (or @t45 (not @t325) @t165))) % 2.12/2.37 (assume @p174 (forall @t164 (or @t45 @t325 @t160))) % 2.12/2.37 (assume @p175 (forall (@list @t3 @t6 @t33 @t28 @t2) (or @t45 @t47 @t37 @t193 @t228))) % 2.12/2.37 (assume @p176 (forall @t326 (or @t131 @t146))) % 2.12/2.37 (assume @p177 (forall @t301 (or (not (= @t72 @t54)) (= @t100 @t14)))) % 2.12/2.37 (assume @p178 (forall (@list @t127 @t99 @t54 @t3 @t55 @t75) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t127)) (= (tptp.c_Finite__Set_Osetsum @t99 @t259 @t55 @t127) (tptp.c_Finite__Set_Osetsum (tptp.c_Fun_Ocomp @t99 @t54 @t55 @t127 @t3) @t75 @t3 @t127)) @t142))) % 2.12/2.37 (assume @p179 (forall @t327 (or @t298 (not (tptp.hBOOL (tptp.hAPP @t94 @t297))) @t195))) % 2.12/2.37 (assume @p180 (forall (@list @t54 @t75 @t3 @t55 @t74) (or @t141 @t258))) % 2.12/2.37 (assume @p181 (forall @t144 (or @t116 @t258))) % 2.12/2.37 (assume @p182 (forall @t115 (or @t331 @t330 (not (tptp.hBOOL (tptp.hAPP @t23 @t2)))))) % 2.12/2.37 (assume @p183 (forall @t115 (or @t331 @t330 (not (tptp.hBOOL (tptp.hAPP @t23 @t6)))))) % 2.12/2.37 (assume @p184 (forall @t52 (or @t70 (= (tptp.hAPP (tptp.hAPP @t7 @t332) @t1) @t332)))) % 2.12/2.37 (assume @p185 (forall @t52 (or @t70 (= (tptp.hAPP @t18 @t332) @t332)))) % 2.12/2.37 (assume @p186 (forall @t326 (not (tptp.hBOOL (tptp.hAPP @t90 @t161))))) % 2.12/2.37 (assume @p187 (forall @t132 (tptp.c_Finite__Set_Ofinite @t161 @t3))) % 2.12/2.37 (assume @p188 (forall (@list @t1 @t71 @t54 @t3 @t55) (or (= @t1 @t71) (not (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t161 @t1 @t3 @t55))))) % 2.12/2.37 (assume @p189 (forall (@list @t54 @t3 @t55) (tptp.c_Fun_Oinj__on @t54 @t161 @t3 @t55))) % 2.12/2.37 (assume @p190 (forall @t333 (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t161 @t71 @t3 @t55))) % 2.12/2.37 (assume @p191 (forall @t333 (tptp.c_Nitpick_Ofold__graph_H @t54 @t71 @t161 @t71 @t3 @t55))) % 2.12/2.37 (assume @p192 (forall @t335 (or @t334 @t195))) % 2.12/2.37 (assume @p193 (forall (@list @t74 @t3 @t2) (or @t146 (not @t334)))) % 2.12/2.37 (assume @p194 (forall (@list @t54 @t74 @t3 @t55 @t2) (or @t116 @t337))) % 2.12/2.37 (assume @p195 (forall @t246 (or (not (tptp.class_Ring__and__Field_Oring @t55)) @t339 @t197 @t195))) % 2.12/2.37 (assume @p196 (forall @t246 (or @t204 @t339 @t197 @t195))) % 2.12/2.37 (assume @p197 (forall @t217 (or @t212 @t143 @t207 @t92))) % 2.12/2.37 (assume @p198 (forall @t217 (or @t212 @t143 @t207 @t214))) % 2.12/2.37 (assume @p199 (forall @t216 (or @t95 @t207 @t214 @t213))) % 2.12/2.37 (assume @p200 (forall @t343 (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t342 @t3 @t238) (tptp.hAPP @t341 @t239)) @t340))) % 2.12/2.37 (assume @p201 (forall @t345 (or @t344 @t197 @t271))) % 2.12/2.37 (assume @p202 (forall (@list @t2 @t74 @t3 @t54 @t55) (or @t196 (not @t344) @t271))) % 2.12/2.37 (assume @p203 (forall @t235 (or @t26 (= (tptp.hAPP @t237 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t229 @t231 @t3)) @t346) @t232 @t230))) % 2.12/2.37 (assume @p204 (forall @t235 (or @t26 (= (tptp.hAPP (tptp.hAPP @t80 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t166 @t229 @t3)) @t234) @t346) @t232 @t230))) % 2.12/2.37 (assume @p205 (forall (@list @t55 @t2 @t3 @t75) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t347 @t278 @t55 @t42) @t161))) % 2.12/2.37 (assume @p206 (forall @t283 (or (= @t351 @t350) @t348))) % 2.12/2.37 (assume @p207 (forall @t282 (or (= @t350 @t351) @t348))) % 2.12/2.37 (assume @p208 (forall @t343 (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t342 @t3 @t238) (tptp.hAPP @t341 @t352)) @t340))) % 2.12/2.37 (assume @p209 (forall @t287 (or (= @t354 @t353) @t348))) % 2.12/2.37 (assume @p210 (forall @t288 (or (= @t353 @t354) @t348))) % 2.12/2.37 (assume @p211 (forall (@list @t55 @t3 @t74 @t75) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t347 @t284 @t55 @t42) @t161))) % 2.12/2.37 (assume @p212 (forall @t356 (or @t355 @t143 @t271))) % 2.12/2.37 (assume @p213 (forall (@list @t3 @t74 @t75 @t55 @t54) (or @t95 (not @t355) @t271))) % 2.12/2.37 (assume @p214 (forall (@list @t54 @t3 @t55 @t74 @t75 @t148) (or @t359 @t151 @t358 (not (tptp.c_Fun_Oinj__on @t54 @t148 @t3 @t55))))) % 2.12/2.37 (assume @p215 (forall @t261 (or @t359 @t271))) % 2.12/2.37 (assume @p216 (forall @t164 (or @t294 (= (tptp.hAPP @t291 @t362) @t9)))) % 2.12/2.37 (assume @p217 (forall @t366 (= @t365 @t364))) % 2.12/2.37 (assume @p218 (forall @t367 (= @t364 @t365))) % 2.12/2.37 (assume @p219 (forall @t369 (or @t26 (tptp.hBOOL (tptp.hAPP @t64 @t368)) @t240 @t195))) % 2.12/2.37 (assume @p220 (forall @t371 (or @t26 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t370) @t1)) @t240 @t195))) % 2.12/2.37 (assume @p221 (forall @t326 (or @t26 (tptp.hBOOL (tptp.c_in @t370 @t74 @t3)) @t247 @t195))) % 2.12/2.37 (assume @p222 (forall @t326 (or @t26 (tptp.hBOOL (tptp.c_in @t368 @t74 @t3)) @t247 @t195))) % 2.12/2.37 (assume @p223 (forall (@list @t54 @t2 @t3 @t74 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t54 @t293 @t3) @t1)) @t196 (not (tptp.c_Finite__Set_Ofold__graph @t54 @t2 @t74 @t1 @t3 @t3))))) % 2.12/2.37 (assume @p224 (forall @t77 (or (= @t374 @t75) @t143))) % 2.12/2.37 (assume @p225 (forall (@list @t381 @t382 @t380 @t3 @t379 @t377 @t378 @t375 @t376) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t381 @t382 (tptp.c_COMBC @t380 @t3 @t3 tptp.tc_bool) (tptp.c_COMBC @t379 @t3 @t3 tptp.tc_bool) @t377 @t378 @t375 @t376 @t3) @t383))) % 2.12/2.37 (assume @p226 (forall @t20 (or @t19 @t384))) % 2.12/2.37 (assume @p227 (forall @t27 (or @t19 @t385))) % 2.12/2.37 (assume @p228 (forall @t89 (or @t331 @t386 @t159 @t108))) % 2.12/2.37 (assume @p229 (forall @t123 (or @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t221) @t1)) (not @t387) @t139))) % 2.12/2.37 (assume @p230 (forall @t27 (or @t331 @t385))) % 2.12/2.37 (assume @p231 (forall @t20 (or @t331 @t384))) % 2.12/2.37 (assume @p232 (forall @t12 (or @t331 @t388 @t323 @t320))) % 2.12/2.37 (assume @p233 (forall @t391 (or @t390 @t151 @t358))) % 2.12/2.37 (assume @p234 (forall @t77 (tptp.hBOOL (tptp.hAPP @t94 @t257)))) % 2.12/2.37 (assume @p235 (forall @t392 (tptp.hBOOL (tptp.hAPP @t149 @t257)))) % 2.12/2.37 (assume @p236 (forall @t89 (or @t19 @t394))) % 2.12/2.37 (assume @p237 (forall @t89 (or @t19 @t395))) % 2.12/2.37 (assume @p238 (forall @t89 (or @t331 @t395))) % 2.12/2.37 (assume @p239 (forall @t89 (or @t331 @t394))) % 2.12/2.37 (assume @p240 (forall @t391 (= (tptp.hAPP (tptp.hAPP @t80 @t257) @t148) @t397))) % 2.12/2.37 (assume @p241 (forall @t391 (= @t397 (tptp.hAPP @t289 (tptp.hAPP @t256 @t148))))) % 2.12/2.37 (assume @p242 (forall (@list @t3 @t54 @t55 @t74 @t75) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t183 @t42) @t399)) (tptp.hAPP @t128 (tptp.hAPP @t398 @t75)))))) % 2.12/2.37 (assume @p243 (forall (@list @t3 @t1 @t176 @t175) (or @t401 (not (= @t400 @t178)) (= @t176 @t175)))) % 2.12/2.37 (assume @p244 (forall (@list @t3 @t248 @t14 @t1) (or @t401 (not (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t248 @t3) @t14) @t400)) (= @t248 @t14)))) % 2.12/2.37 (assume @p245 (forall @t101 (tptp.hBOOL (tptp.c_in @t100 (tptp.hAPP @t128 @t268) @t3)))) % 2.12/2.37 (assume @p246 (forall @t147 (= (tptp.hAPP @t402 @t75) @t203))) % 2.12/2.37 (assume @p247 (forall (@list @t406 @t405 @t403) (not (= @t407 @t404)))) % 2.12/2.37 (assume @p248 (forall (@list @t312 @t55 @t127 @t3 @t311 @t310) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t312 @t55 @t127 @t3) @t311) @t310) (tptp.hAPP (tptp.hAPP @t312 @t310) @t311)))) % 2.12/2.37 (assume @p249 (forall (@list @t408 @t1 @t3) (or @t410 (not @t409)))) % 2.12/2.37 (assume @p250 (forall (@list @t1 @t408 @t3) (or @t409 (not @t410)))) % 2.12/2.37 (assume @p251 (forall (@list @t74 @t3 @t55 @t75) (= (tptp.hAPP @t202 @t411) @t74))) % 2.12/2.37 (assume @p252 (forall @t52 (or @t331 (= (tptp.hAPP @t16 @t1) @t1)))) % 2.12/2.37 (assume @p253 (forall @t326 (= (tptp.hAPP @t256 @t74) @t74))) % 2.12/2.37 (assume @p254 (forall (@list @t55 @t54 @t53) (or (not (tptp.class_Lattices_Olattice @t55)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t413) @t54) @t53) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55) (tptp.hAPP @t54 tptp.v_x)) @t412))))) % 2.12/2.37 (assume @p255 (forall (@list @t403 @t406 @t405) (not (= @t404 @t407)))) % 2.12/2.37 (assume @p256 (forall (@list @t54 @t1 @t75 @t3 @t74 @t55) (or (tptp.hBOOL (tptp.c_in @t100 @t75 @t3)) @t414 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t183) @t75)))))) % 2.12/2.37 (assume @p257 (forall @t217 (or @t419 @t240 @t416))) % 2.12/2.37 (assume @p258 (forall @t217 (or @t415 @t240 @t420))) % 2.12/2.37 (assume @p259 (forall @t327 (= (tptp.c_Finite__Set_Ofold1 @t54 @t74 @t3) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t54 @t74 @t3) @t3)))) % 2.12/2.37 (assume @p260 (forall (@list @t55 @t422 @t251 @t74 @t3) (or @t425 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t423) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t422 @t3 @t55))) @t421))) % 2.12/2.37 (assume @p261 (forall (@list @t55 @t75 @t2 @t74 @t3) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t426) @t239)) @t197))) % 2.12/2.37 (assume @p262 (forall @t429 (or (= @t428 @t203) @t215))) % 2.12/2.37 (assume @p263 (forall (@list @t381 @t3 @t375 @t382 @t380 @t379 @t378 @t377 @t376) (or (= (tptp.hAPP @t381 @t130) @t375) @t383))) % 2.12/2.37 (assume @p264 (forall (@list @t382 @t3 @t376 @t381 @t380 @t379 @t378 @t377 @t375) (or (= (tptp.hAPP @t382 @t130) @t376) @t383))) % 2.12/2.37 (assume @p265 (forall (@list @t74 @t148 @t3 @t55 @t75 @t1) (or (not (= @t433 @t432)) @t430 @t189))) % 2.12/2.37 (assume @p266 (forall @t437 (not (= @t436 tptp.c_Com_Ocom_OSKIP)))) % 2.12/2.37 (assume @p267 (forall (@list @t403 @t439 @t438) (not (= @t404 @t440)))) % 2.12/2.37 (assume @p268 @t443) % 2.12/2.37 (assume @p269 (forall @t449 (or @t448 @t445))) % 2.12/2.37 (assume @p270 (forall @t449 (or @t448 @t450))) % 2.12/2.37 (assume @p271 (forall (@list @t406 @t405 @t435 @t434) (not (= @t407 @t436)))) % 2.12/2.37 (assume @p272 (forall @t295 (or @t294 (= (tptp.hAPP @t451 @t293) (tptp.hAPP @t328 @t452))))) % 2.12/2.37 (assume @p273 (forall @t52 (or @t70 (= (tptp.hAPP @t16 @t69) @t69)))) % 2.12/2.37 (assume @p274 (forall @t52 (or @t70 (= (tptp.hAPP (tptp.hAPP @t15 @t69) @t1) @t69)))) % 2.12/2.37 (assume @p275 (forall @t304 (= (tptp.hAPP (tptp.hAPP @t80 @t130) @t75) @t130))) % 2.12/2.37 (assume @p276 (forall @t326 (= (tptp.hAPP @t256 @t130) @t130))) % 2.12/2.37 (assume @p277 (forall (@list @t406 @t405 @t435 @t446 @t444) (not (= @t407 @t453)))) % 2.12/2.37 (assume @p278 (forall @t456 (or (not (= @t455 @t161)) @t454 @t414))) % 2.12/2.37 (assume @p279 (forall (@list @t439 @t406 @t405 @t435 @t434) (not (= @t457 @t436)))) % 2.12/2.37 (assume @p280 (forall @t460 (or @t306 @t459))) % 2.12/2.37 (assume @p281 (forall (@list @t3 @t75 @t74 @t251 @t253 @t55) (or (tptp.hBOOL (tptp.hAPP @t149 (tptp.hAPP @t74 @t251))) (not (tptp.hBOOL (tptp.c_in @t251 @t253 @t55))) (not (tptp.hBOOL (tptp.hAPP @t149 @t290)))))) % 2.12/2.37 (assume @p282 (forall @t309 (or @t461 @t459))) % 2.12/2.37 (assume @p283 (forall (@list @t3 @t74 @t1 @t75 @t253 @t55) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t254) @t75)) (not (tptp.hBOOL (tptp.c_in @t1 @t253 @t55))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t253 @t74 @t55 @t42)) @t75)))))) % 2.12/2.37 (assume @p284 (forall (@list @t28 @t55 @t127 @t54) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t28 @t55 @t127) @t54 @t127 @t55 tptp.t_a) tptp.v_x) @t28))) % 2.12/2.37 (assume @p285 (forall (@list @t6 @t75 @t2 @t3 @t74 @t55) (or @t465 @t464 @t463))) % 2.12/2.37 (assume @p286 (forall (@list @t2 @t74 @t55 @t6 @t75 @t3) (or @t464 @t465 @t463))) % 2.12/2.37 (assume @p287 (forall (@list @t6 @t75 @t1 @t3 @t74 @t55) (or @t466 @t414 @t463))) % 2.12/2.37 (assume @p288 (forall @t469 (= (tptp.c_The @t468 @t3) @t2))) % 2.12/2.37 (assume @p289 (forall (@list @t435 @t446 @t444 @t406 @t405) (not (= @t453 @t407)))) % 2.12/2.37 (assume @p290 (forall (@list @t55 @t74 @t167 @t253 @t3) (or (= (tptp.hAPP (tptp.hAPP @t471 (tptp.hAPP @t74 @t167)) @t470) @t470) (not (tptp.hBOOL (tptp.c_in @t167 @t253 @t3)))))) % 2.12/2.37 (assume @p291 (forall @t473 (or @t472 @t445))) % 2.12/2.37 (assume @p292 (forall @t473 (or @t472 @t450))) % 2.12/2.37 (assume @p293 (forall @t473 (or @t472 @t474))) % 2.12/2.37 (assume @p294 (forall @t345 (or (not @t475) @t337))) % 2.12/2.37 (assume @p295 (forall (@list @t54 @t2 @t3 @t74 @t55) (or @t336 @t475 @t117))) % 2.12/2.37 (assume @p296 (forall @t227 (or (= @t226 (tptp.hAPP @t476 (tptp.hAPP @t128 (tptp.hAPP @t398 (tptp.hAPP (tptp.c_Set_Oinsert @t1 @t55) @t347))))) @t414))) % 2.12/2.37 (assume @p297 (forall @t217 (or @t212 @t143 @t478 @t214))) % 2.12/2.37 (assume @p298 (forall @t480 (or @t26 (= (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.c_Set_Oinsert @t166 @t3) @t161)) @t233) @t346) @t479))) % 2.12/2.37 (assume @p299 (forall @t480 (or @t26 (= (tptp.hAPP (tptp.hAPP @t80 @t236) (tptp.hAPP (tptp.c_Set_Oinsert @t231 @t3) @t161)) @t346) @t479))) % 2.12/2.37 (assume @p300 (forall (@list @t3 @t422 @t481) (or @t26 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Finite__Set_Olinorder__class_OMax @t422 @t3)) (tptp.c_Finite__Set_Olinorder__class_OMax @t481 @t3))) @t484 @t483 @t482))) % 2.12/2.37 (assume @p301 (forall (@list @t3 @t481 @t422) (or @t26 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Finite__Set_Olinorder__class_OMin @t481 @t3)) (tptp.c_Finite__Set_Olinorder__class_OMin @t422 @t3))) @t484 @t483 @t482))) % 2.12/2.37 (assume @p302 (forall @t132 (or @t294 (tptp.c_Complete__Lattice_Ocomplete__lattice @t451 @t291 (tptp.c_COMBC @t29 @t3 @t3 tptp.tc_bool) (tptp.c_COMBC @t4 @t3 @t3 tptp.tc_bool) @t15 @t7 @t69 @t332 @t3)))) % 2.12/2.37 (assume @p303 (forall @t485 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t347 @t363 @t55 @t42) @t130))) % 2.12/2.37 (assume @p304 (forall @t367 (or (= @t487 @t486) @t348))) % 2.12/2.37 (assume @p305 (forall @t366 (or (= @t486 @t487) @t348))) % 2.12/2.37 (assume @p306 (forall (@list @t55 @t74 @t75 @t3 @t148 @t1) (or @t489 (not @t488) @t430))) % 2.12/2.37 (assume @p307 (forall (@list @t55 @t3 @t74 @t148 @t75 @t1) (or @t488 (not @t489) @t430))) % 2.12/2.37 (assume @p308 (forall @t217 (or @t212 @t143 @t478 @t92))) % 2.12/2.37 (assume @p309 (forall @t490 (or (tptp.c_Nitpick_Ofold__graph_H @t54 @t71 @t74 @t208 @t3 @t55) (not (tptp.c_Nitpick_Ofold__graph_H @t54 @t71 @t418 @t14 @t3 @t55)) @t240))) % 2.12/2.37 (assume @p310 (forall @t217 (or @t477 @t240 @t214 @t213))) % 2.12/2.37 (assume @p311 (forall @t217 (or @t212 @t240 @t478 @t214))) % 2.12/2.37 (assume @p312 (forall @t217 (or @t212 @t240 @t478 @t92))) % 2.12/2.37 (assume @p313 (forall (@list @t54 @t74 @t3 @t2) (or (= (tptp.c_Finite__Set_Osetsum @t54 @t244 @t3 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t54 @t74 @t3 tptp.tc_nat)) @t196))) % 2.12/2.37 (assume @p314 (forall @t490 (or (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t74 @t208 @t3 @t55) @t240 (not (tptp.c_Finite__Set_Ofold__graph @t54 @t71 @t418 @t14 @t3 @t55))))) % 2.12/2.37 (assume @p315 (forall @t491 (not (= tptp.c_Com_Ocom_OSKIP @t453)))) % 2.12/2.37 (assume @p316 (forall @t77 (tptp.hBOOL (tptp.hAPP @t492 @t74)))) % 2.12/2.37 (assume @p317 (forall (@list @t2 @t312 @t3) (or @t494 (not @t493)))) % 2.12/2.37 (assume @p318 (forall (@list @t312 @t2 @t3) (or @t493 (not @t494)))) % 2.12/2.37 (assume @p319 (forall @t460 (or @t458 @t308 @t307))) % 2.12/2.37 (assume @p320 (forall @t497 (or @t214 @t496))) % 2.12/2.37 (assume @p321 (forall @t498 (or (= (tptp.hAPP (tptp.c_Set_Oinsert @t100 @t55) @t119) @t119) @t240))) % 2.12/2.37 (assume @p322 (forall @t217 (or @t415 @t143 @t207))) % 2.12/2.37 (assume @p323 (forall @t216 (or @t95 @t207 @t416))) % 2.12/2.37 (assume @p324 (forall @t216 (or @t95 @t416 @t207))) % 2.12/2.37 (assume @p325 (forall (@list @t6 @t74 @t75 @t55 @t3 @t1) (or (tptp.hBOOL (tptp.c_in @t6 @t455 @t3)) (not @t466) @t414))) % 2.12/2.37 (assume @p326 (forall (@list @t6 @t74 @t75 @t3 @t55 @t2) (or (tptp.hBOOL (tptp.c_in @t6 @t239 @t55)) (not (tptp.hBOOL (tptp.c_in @t6 @t426 @t55))) @t197))) % 2.12/2.37 (assume @p327 (forall @t392 (= (tptp.hAPP (tptp.hAPP @t80 @t373) @t74) @t499))) % 2.12/2.37 (assume @p328 (forall @t77 (= @t374 @t257))) % 2.12/2.37 (assume @p329 (forall (@list @t55 @t74 @t75) (or (not (tptp.class_HOL_Ominus @t55)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t74 @t413) @t75) tptp.v_x) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t74 tptp.v_x) @t55) (tptp.hAPP @t75 tptp.v_x)))))) % 2.12/2.37 (assume @p330 (forall @t391 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t257 @t42) @t148) (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP @t202 @t148)) (tptp.hAPP @t372 @t148))))) % 2.12/2.37 (assume @p331 (forall @t501 (= @t272 (tptp.hAPP (tptp.hAPP @t80 @t500) @t75)))) % 2.12/2.37 (assume @p332 (forall @t456 (or (not (= @t462 @t130)) @t502 @t414))) % 2.12/2.37 (assume @p333 (forall (@list @t380 @t382 @t74 @t1 @t3 @t381 @t379 @t378 @t377 @t376 @t375) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t503) @t1)) @t240 @t383))) % 2.12/2.37 (assume @p334 (forall (@list @t380 @t1 @t381 @t74 @t3 @t382 @t379 @t378 @t377 @t376 @t375) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t380 @t1) @t504)) @t240 @t383))) % 2.12/2.37 (assume @p335 (forall @t77 (= @t257 @t499))) % 2.12/2.37 (assume @p336 (forall @t20 (or @t331 @t505))) % 2.12/2.37 (assume @p337 (forall @t20 (or @t19 @t505))) % 2.12/2.37 (assume @p338 (forall (@list @t506 @t403) (or (not (= (tptp.c_Com_Ocom_OBODY @t506) @t404)) (= @t506 @t403)))) % 2.12/2.37 (assume @p339 (forall @t508 (or @t507 @t474))) % 2.12/2.37 (assume @p340 (forall @t508 (or @t507 @t509))) % 2.12/2.37 (assume @p341 (forall (@list @t3 @t75 @t55) (= (tptp.c_Product__Type_OSigma @t161 @t75 @t3 @t55) @t510))) % 2.12/2.37 (assume @p342 (forall @t77 (= (tptp.hAPP @t256 @t257) @t257))) % 2.12/2.37 (assume @p343 (forall @t20 (or @t331 @t511))) % 2.12/2.37 (assume @p344 (forall @t20 (or @t19 @t511))) % 2.12/2.37 (assume @p345 (forall @t491 (not (= @t453 tptp.c_Com_Ocom_OSKIP)))) % 2.12/2.37 (assume @p346 (forall (@list @t74 @t75 @t3 @t55 @t6 @t1) (or @t513 (not @t512) @t240))) % 2.12/2.37 (assume @p347 (forall (@list @t74 @t75 @t3 @t55 @t6 @t2) (or @t513 (not @t514) @t197))) % 2.12/2.37 (assume @p348 (forall (@list @t435 @t434 @t439 @t406 @t405) (not (= @t436 @t457)))) % 2.12/2.37 (assume @p349 (forall @t515 (not (= tptp.c_Com_Ocom_OSKIP @t404)))) % 2.12/2.37 (assume @p350 (forall @t429 (or (= @t428 (tptp.hAPP @t209 @t203)) @t214))) % 2.12/2.37 (assume @p351 (forall @t132 (or @t294 (= (tptp.hAPP @t451 @t130) @t69)))) % 2.12/2.37 (assume @p352 (forall (@list @t1 @t74 @t103 @t54 @t3) (or (not (tptp.hBOOL (tptp.c_in @t1 @t74 @t103))) (tptp.hBOOL (tptp.c_in @t100 (tptp.hAPP (tptp.c_Set_Oimage @t54 @t103 @t3) @t74) @t3))))) % 2.12/2.37 (assume @p353 (forall (@list @t1 @t74 @t55 @t54 @t3) (or @t414 @t516))) % 2.12/2.37 (assume @p354 (forall @t498 (or @t516 @t414))) % 2.12/2.37 (assume @p355 (forall (@list @t54 @t1 @t3 @t55 @t74) (or (tptp.hBOOL (tptp.c_in @t100 @t119 @t55)) @t240))) % 2.12/2.37 (assume @p356 (forall @t391 (or @t518 (not @t517)))) % 2.12/2.37 (assume @p357 (forall @t391 (or @t517 (not @t518)))) % 2.12/2.37 (assume @p358 (forall (@list @t55 @t54 @t1 @t53 @t3) (or @t62 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 @t100) @t519)) @t59))) % 2.12/2.37 (assume @p359 (forall @t527 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t78 @t526 @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t78 @t524 @t3))))) % 2.12/2.37 (assume @p360 (forall @t52 (or @t70 (= (tptp.hAPP (tptp.hAPP @t15 @t332) @t1) @t1)))) % 2.12/2.37 (assume @p361 (forall @t52 (or @t70 (= (tptp.hAPP @t16 @t332) @t1)))) % 2.12/2.37 (assume @p362 (forall @t52 (or (not (tptp.class_Orderings_Obot @t3)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t332) @t1))))) % 2.12/2.37 (assume @p363 (forall @t77 (or @t70 @t528 (= @t74 @t332)))) % 2.12/2.37 (assume @p364 (forall @t77 (or @t70 @t528 (= @t75 @t332)))) % 2.12/2.37 (assume @p365 (forall @t132 (= (tptp.hAPP @t529 @t161) @t161))) % 2.12/2.37 (assume @p366 (forall (@list @t54 @t55 @t3 @t74) (or (not (= @t183 @t161)) @t530))) % 2.12/2.37 (assume @p367 (forall (@list @t382 @t3 @t375 @t381 @t380 @t379 @t378 @t377 @t376) (or (= (tptp.hAPP @t382 @t161) @t375) @t383))) % 2.12/2.37 (assume @p368 (forall (@list @t381 @t3 @t376 @t382 @t380 @t379 @t378 @t377 @t375) (or (= (tptp.hAPP @t381 @t161) @t376) @t383))) % 2.12/2.37 (assume @p369 (forall (@list @t3 @t312 @t1) (or (not (= @t161 @t441)) @t532))) % 2.12/2.37 (assume @p370 (forall @t534 @t533)) % 2.12/2.37 (assume @p371 (forall @t535 (or @t531 @t533))) % 2.12/2.37 (assume @p372 (forall (@list @t28 @t3) (not (tptp.hBOOL (tptp.c_in @t28 @t161 @t3))))) % 2.12/2.37 (assume @p373 (forall (@list @t2 @t3) (not (tptp.hBOOL (tptp.c_in @t2 @t161 @t3))))) % 2.12/2.37 (assume @p374 (forall @t132 (tptp.hBOOL (tptp.hAPP @t536 @t161)))) % 2.12/2.37 (assume @p375 (forall @t537 (or @t247 (not (tptp.hBOOL (tptp.hAPP @t94 @t161)))))) % 2.12/2.37 (assume @p376 (forall (@list @t312 @t3 @t1) (or (not (= @t441 @t161)) @t532))) % 2.12/2.37 (assume @p377 (forall (@list @t54 @t3 @t1) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t54 @t161 @t3) @t1))))) % 2.12/2.37 (assume @p378 (forall @t132 (not (= @t130 @t161)))) % 2.12/2.37 (assume @p379 (forall @t326 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t161 @t42) @t74) @t161))) % 2.12/2.37 (assume @p380 (forall @t326 (= (tptp.hAPP @t256 @t161) @t74))) % 2.12/2.37 (assume @p381 (forall @t304 (= (tptp.hAPP @t529 @t75) @t75))) % 2.12/2.37 (assume @p382 (forall @t537 (= (tptp.hAPP @t202 @t74) @t161))) % 2.12/2.37 (assume @p383 (forall @t537 (= (tptp.hAPP @t202 @t161) @t74))) % 2.12/2.37 (assume @p384 (forall @t326 (tptp.hBOOL (tptp.hAPP @t536 @t74)))) % 2.12/2.37 (assume @p385 (forall (@list @t3 @t54 @t55 @t74) (or (not (= @t161 @t183)) @t530))) % 2.12/2.37 (assume @p386 (forall (@list @t54 @t55 @t3) (= @t538 @t161))) % 2.12/2.37 (assume @p387 (forall @t535 (or @t532 @t533))) % 2.12/2.37 (assume @p388 (forall @t77 (or @t539 (= @t75 @t161)))) % 2.12/2.37 (assume @p389 (forall @t77 (or @t539 @t247))) % 2.12/2.37 (assume @p390 (forall (@list @t3 @t54 @t55) (= @t161 @t538))) % 2.12/2.37 (assume @p391 (forall @t469 (= @t500 @t243))) % 2.12/2.37 (assume @p392 (forall @t335 (or (= @t540 @t74) @t197))) % 2.12/2.37 (assume @p393 (forall @t164 (or @t294 (= (tptp.hAPP @t451 @t362) @t329)))) % 2.12/2.37 (assume @p394 (forall @t217 (or @t415 @t143 @t420))) % 2.12/2.37 (assume @p395 (forall @t541 (or (= (tptp.hAPP @t427 @t417) @t74) @t207))) % 2.12/2.37 (assume @p396 (forall (@list @t3 @t2 @t148 @t542) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 (tptp.hAPP @t242 @t148)) (tptp.hAPP @t242 @t542))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t148) @t542)))))) % 2.12/2.37 (assume @p397 (forall (@list @t2 @t6 @t3 @t74) (or @t543 @t197))) % 2.12/2.37 (assume @p398 (forall (@list @t2 @t6 @t3 @t75) (or (tptp.hBOOL (tptp.c_in @t2 @t544 @t3)) (not (tptp.hBOOL (tptp.c_in @t2 @t75 @t3)))))) % 2.12/2.37 (assume @p399 (forall (@list @t54 @t55 @t3 @t2 @t75) (= (tptp.hAPP @t128 (tptp.hAPP @t341 @t75)) (tptp.hAPP (tptp.c_Set_Oinsert @t338 @t3) @t399)))) % 2.12/2.37 (assume @p400 (forall (@list @t382 @t2 @t3 @t74 @t378 @t381 @t380 @t379 @t377 @t376 @t375) (or (= (tptp.hAPP @t382 @t293) (tptp.hAPP @t545 @t503)) @t383))) % 2.12/2.37 (assume @p401 (forall (@list @t381 @t2 @t3 @t74 @t377 @t382 @t380 @t379 @t378 @t376 @t375) (or (= (tptp.hAPP @t381 @t293) (tptp.hAPP @t546 @t504)) @t383))) % 2.12/2.37 (assume @p402 (forall (@list @t2 @t74 @t3 @t6) (or @t196 @t186 (not @t543)))) % 2.12/2.37 (assume @p403 (forall (@list @t3 @t75 @t2) (tptp.hBOOL (tptp.hAPP @t149 @t272)))) % 2.12/2.37 (assume @p404 (forall (@list @t3 @t74 @t2 @t75) (= (tptp.hAPP @t256 @t272) (tptp.hAPP @t242 @t257)))) % 2.12/2.37 (assume @p405 (forall (@list @t3 @t2 @t75 @t148) (= (tptp.hAPP (tptp.hAPP @t80 @t272) @t148) (tptp.hAPP @t242 @t396)))) % 2.12/2.37 (assume @p406 (forall (@list @t3 @t74 @t6 @t75) (or (tptp.hBOOL (tptp.hAPP @t94 @t544)) @t143))) % 2.12/2.37 (assume @p407 (forall @t216 (or @t95 @t496))) % 2.12/2.37 (assume @p408 (forall @t541 (tptp.hBOOL (tptp.c_in @t1 @t210 @t3)))) % 2.12/2.37 (assume @p409 (forall @t501 (tptp.hBOOL (tptp.c_in @t2 @t272 @t3)))) % 2.12/2.37 (assume @p410 (forall (@list @t1 @t3 @t75) (tptp.hBOOL (tptp.c_in @t1 @t211 @t3)))) % 2.12/2.37 (assume @p411 (forall @t429 (or (not (= @t210 @t211)) @t214 @t207 @t189))) % 2.12/2.37 (assume @p412 (forall @t335 (or (= @t293 @t74) @t197))) % 2.12/2.37 (assume @p413 (forall @t46 (or @t45 @t547 @t36 @t32))) % 2.12/2.37 (assume @p414 (forall @t219 (or @t45 @t35 @t193 @t548))) % 2.12/2.37 (assume @p415 (forall @t220 (or @t45 @t31 @t193 @t548))) % 2.12/2.37 (assume @p416 (forall @t534 (tptp.hBOOL (tptp.c_in @t1 @t130 @t3)))) % 2.12/2.37 (assume @p417 (forall (@list @t54 @t53 @t55 @t3 @t127 @t1) (= @t550 @t549))) % 2.12/2.37 (assume @p418 (forall (@list @t2 @t6 @t551 @t127 @t55 @t3) (= @t553 (tptp.hAPP @t552 @t551)))) % 2.12/2.37 (assume @p419 (forall @t46 (or @t45 @t547 @t192))) % 2.12/2.37 (assume @p420 (forall @t485 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t347 @t74 @t55 @t42) @t42) @t75) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t130 @t42) @t75)))) % 2.12/2.37 (assume @p421 (forall (@list @t75 @t1 @t74 @t3) (or @t556 @t555 (not @t554)))) % 2.12/2.37 (assume @p422 (forall @t216 (or @t554 (not @t556)))) % 2.12/2.37 (assume @p423 (forall @t216 (or @t554 @t557))) % 2.12/2.37 (assume @p424 (forall @t309 (or @t308 @t306 (not @t558)))) % 2.12/2.37 (assume @p425 (forall (@list @t439 @t406 @t405 @t403) (not (= @t457 @t404)))) % 2.12/2.37 (assume @p426 (forall (@list @t403 @t439 @t406 @t405) (not (= @t404 @t457)))) % 2.12/2.37 (assume @p427 (forall @t559 (or (not (= @t161 @t455)) @t454 @t414))) % 2.12/2.37 (assume @p428 (forall (@list @t55 @t74 @t422 @t3 @t251) (or @t425 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t424 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t422 @t3 @t55)) @t423)) @t421))) % 2.12/2.37 (assume @p429 (forall (@list @t55 @t74 @t75 @t3 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t352) @t426)) @t197))) % 2.12/2.37 (assume @p430 (forall (@list @t3 @t55 @t74 @t75) (= (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t347 @t74 @t55 @t42)) @t75) @t75))) % 2.12/2.37 (assume @p431 (forall (@list @t3 @t74 @t55 @t75) (= (tptp.hAPP @t256 @t411) @t74))) % 2.12/2.37 (assume @p432 (forall @t559 (or (not (= @t130 @t462)) @t502 @t414))) % 2.12/2.37 (assume @p433 (forall @t437 (not (= tptp.c_Com_Ocom_OSKIP @t436)))) % 2.12/2.37 (assume @p434 (forall @t561 (or (tptp.hBOOL (tptp.hAPP @t492 (tptp.hAPP @t560 @t542))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t542) @t75))) @t358))) % 2.12/2.37 (assume @p435 (forall @t132 (or @t294 (= (tptp.hAPP @t291 @t130) @t332)))) % 2.12/2.37 (assume @p436 (forall @t52 (tptp.hBOOL (tptp.hAPP @t130 @t1)))) % 2.12/2.37 (assume @p437 (forall @t562 (or (not (tptp.class_Orderings_Otop @t55)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t413) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t55))))) % 2.12/2.37 (assume @p438 (forall @t190 (or @t189 @t199 @t143))) % 2.12/2.37 (assume @p439 (forall @t20 (or @t45 @t25 @t139 @t66))) % 2.12/2.37 (assume @p440 (forall @t20 (or @t45 @t25 @t66 @t139))) % 2.12/2.37 (assume @p441 (forall @t20 (or @t331 (= @t17 @t1) @t139))) % 2.12/2.37 (assume @p442 (forall @t20 (or @t331 (not @t563) @t65))) % 2.12/2.37 (assume @p443 (forall @t20 (or @t331 @t563 @t66))) % 2.12/2.37 (assume @p444 (forall @t77 (or @t564 @t143))) % 2.12/2.37 (assume @p445 (forall @t77 (or (= @t257 @t74) @t199))) % 2.12/2.37 (assume @p446 (forall @t77 (or (not @t564) @t95))) % 2.12/2.37 (assume @p447 (= (tptp.hAPP @t565 tptp.v_x) (tptp.c_in tptp.v_x @t565 tptp.t_a))) % 2.12/2.37 (assume @p448 (forall (@list @t2 @t55 @t74 @t75 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP @t341 @t74) @t75 @t55 @t42) (tptp.hAPP (tptp.hAPP @t80 @t426) @t455)))) % 2.12/2.37 (assume @p449 (forall @t371 (or @t294 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t292) @t1)) @t240))) % 2.12/2.37 (assume @p450 (forall @t164 (or @t45 @t566 @t192))) % 2.12/2.37 (assume @p451 (forall @t164 (or @t45 (not @t566) @t193))) % 2.12/2.37 (assume @p452 (forall (@list @t54 @t571 @t1 @t567 @t568 @t3 @t103) (or (not (= @t573 (tptp.hAPP @t567 @t572))) (not (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t568 @t571 @t3 @t103)) (= @t570 (tptp.hAPP (tptp.hAPP @t568 @t567) @t1))))) % 2.12/2.37 (assume @p453 (forall (@list @t54 @t571 @t1 @t568 @t3 @t55) (or @t575 @t574 (= @t570 @t1)))) % 2.12/2.37 (assume @p454 (forall @t537 (= (tptp.hAPP @t202 @t130) @t161))) % 2.12/2.37 (assume @p455 (forall @t561 (or (tptp.hBOOL (tptp.hAPP @t389 (tptp.hAPP (tptp.hAPP @t80 @t148) @t542))) (not (tptp.hBOOL (tptp.hAPP @t149 @t542))) @t358))) % 2.12/2.37 (assume @p456 (forall @t326 (tptp.hBOOL (tptp.hAPP @t94 @t130)))) % 2.12/2.37 (assume @p457 (forall @t52 (or (not (tptp.class_Orderings_Otop @t3)) (tptp.hBOOL (tptp.hAPP @t64 @t69))))) % 2.12/2.37 (assume @p458 (forall (@list @t54 @t53 @t99 @t576 @t127 @t3 @t55) (= (tptp.c_Fun_Ocomp @t54 (tptp.c_Fun_Ocomp @t53 @t99 @t576 @t127 @t3) @t127 @t55 @t3) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t54 @t53 @t127 @t55 @t576) @t99 @t576 @t55 @t3)))) % 2.12/2.37 (assume @p459 (forall @t577 (not (= @t447 tptp.c_Com_Ocom_OSKIP)))) % 2.12/2.37 (assume @p460 (forall (@list @t55 @t75 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t347 @t75 @t55 @t42) @t130))) % 2.12/2.37 (assume @p461 (forall (@list @t54 @t53 @t127 @t55) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t54 @t53 @t127 @t55 tptp.t_a) tptp.v_x) (tptp.hAPP @t54 @t412)))) % 2.12/2.37 (assume @p462 (forall (@list @t3 @t1 @t74 @t75) (or @t495 @t143 @t215))) % 2.12/2.37 (assume @p463 (forall @t132 (or @t294 (= (tptp.hAPP @t291 @t161) @t69)))) % 2.12/2.37 (assume @p464 (forall (@list @t54 @t53 @t127 @t3 @t55 @t578) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t54 @t53 @t127 @t3 @t55) @t55 @t3) @t578) (tptp.hAPP @t270 (tptp.hAPP @t269 @t578))))) % 2.12/2.37 (assume @p465 (forall (@list @t435 @t434 @t406 @t405) (not (= @t436 @t407)))) % 2.12/2.37 (assume @p466 (forall @t579 (or @t558 @t461))) % 2.12/2.37 (assume @p467 (forall @t579 (or @t558 @t307))) % 2.12/2.37 (assume @p468 (forall @t123 (or @t331 @t158 @t580))) % 2.12/2.37 (assume @p469 (forall @t157 (or @t331 @t107 @t580))) % 2.12/2.37 (assume @p470 (forall @t115 (or @t331 @t581 @t113))) % 2.12/2.37 (assume @p471 (forall @t115 (or @t331 @t581 @t111))) % 2.12/2.37 (assume @p472 (forall (@list @t3 @t6 @t1 @t2) (or @t331 @t322 @t582))) % 2.12/2.37 (assume @p473 (forall (@list @t3 @t2 @t1 @t6) (or @t331 @t319 @t582))) % 2.12/2.37 (assume @p474 (forall @t153 (or @t357 @t583))) % 2.12/2.37 (assume @p475 (forall (@list @t3 @t75 @t148 @t74) (or @t150 @t583))) % 2.12/2.37 (assume @p476 (forall @t138 (or @t45 @t387 @t135 @t139))) % 2.12/2.37 (assume @p477 (forall @t157 (or @t51 @t107 @t159 @t66))) % 2.12/2.37 (assume @p478 (forall @t497 (or @t214 @t240 @t143))) % 2.12/2.37 (assume @p479 (forall @t309 (or @t308 @t307 @t143))) % 2.12/2.37 (assume @p480 (forall @t52 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t1) @t1)))) % 2.12/2.37 (assume @p481 (forall @t497 (or @t214 @t143 @t240))) % 2.12/2.37 (assume @p482 (forall (@list @t584 @t75 @t3 @t74) (or (tptp.hBOOL (tptp.c_in @t584 @t75 @t3)) (not (tptp.hBOOL (tptp.c_in @t584 @t74 @t3))) @t143))) % 2.12/2.37 (assume @p483 (forall @t326 (tptp.hBOOL (tptp.hAPP @t94 @t74)))) % 2.12/2.37 (assume @p484 (forall @t153 (or @t357 @t151 @t143))) % 2.12/2.37 (assume @p485 (forall (@list @t311 @t1 @t312 @t3) (or @t586 @t532 @t585))) % 2.12/2.37 (assume @p486 (forall @t52 (or @t45 @t313))) % 2.12/2.37 (assume @p487 (forall @t52 (or @t51 @t313))) % 2.12/2.37 (assume @p488 (forall (@list @t311 @t1 @t3 @t312) (or @t586 @t585 @t532))) % 2.12/2.37 (assume @p489 (forall (@list @t75 @t2 @t6 @t74 @t3 @t55) (or @t514 @t197 @t587))) % 2.12/2.37 (assume @p490 (forall (@list @t2 @t74 @t3 @t75 @t6 @t55) (or @t197 @t514 @t587))) % 2.12/2.37 (assume @p491 (forall (@list @t75 @t1 @t6 @t74 @t3 @t55) (or @t512 @t240 @t587))) % 2.12/2.37 (assume @p492 (forall @t164 (or @t45 @t252 @t192))) % 2.12/2.37 (assume @p493 (forall @t164 (or @t45 (not @t252) @t193))) % 2.12/2.37 (assume @p494 (forall (@list @t54 @t571 @t1 @t568 @t3 @t55 @t53) (or @t575 @t574 (= (tptp.hAPP (tptp.hAPP @t568 (tptp.c_Fun_Ocomp @t53 @t54 @t3 @t3 @t3)) @t1) (tptp.hAPP (tptp.hAPP @t568 @t53) @t1))))) % 2.12/2.37 (assume @p495 (forall (@list @t3 @t54 @t74) (or @t294 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t54 @t3)) @t74)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t54 @t74)) @t74)))))) % 2.12/2.37 (assume @p496 (forall (@list @t439 @t438 @t403) (not (= @t440 @t404)))) % 2.12/2.37 (assume @p497 (forall @t515 (not (= @t404 tptp.c_Com_Ocom_OSKIP)))) % 2.12/2.37 (assume @p498 (forall (@list @t2 @t6 @t127 @t55 @t3 @t28 @t33 @t576 @t551) (or (not (= @t552 (tptp.c_Fun_Ocomp @t28 @t33 @t576 @t55 @t3))) (= @t553 (tptp.hAPP @t28 (tptp.hAPP @t33 @t551)))))) % 2.12/2.37 (assume @p499 (forall (@list @t54 @t53 @t1 @t567 @t589 @t176 @t55 @t3 @t127 @t576 @t588) (or (not (= @t549 (tptp.hAPP @t567 (tptp.hAPP @t589 @t176)))) (= @t550 (tptp.hAPP (tptp.c_Fun_Ocomp @t567 @t589 @t576 @t3 @t588) @t176))))) % 2.12/2.37 (assume @p500 (forall (@list @t55 @t74 @t75 @t422 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t590 @t422 @t55 @t42) (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t422 @t55 @t42)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t75 @t422 @t55 @t42))))) % 2.12/2.37 (assume @p501 (forall @t52 (= (tptp.c_The @t591 @t3) @t1))) % 2.12/2.37 (assume @p502 (forall (@list @t75 @t3 @t148 @t74) (or (= (tptp.hAPP @t372 (tptp.hAPP @t560 @t74)) @t74) @t151 @t143))) % 2.12/2.37 (assume @p503 (forall @t182 (or @t181 @t180 @t592 @t139))) % 2.12/2.37 (assume @p504 (forall @t182 (or @t181 @t180 @t68 (not @t592)))) % 2.12/2.37 (assume @p505 (forall @t356 (or @t355 @t143))) % 2.12/2.37 (assume @p506 (forall (@list @t55 @t1 @t74 @t3 @t54) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t1) @t74))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 (tptp.hAPP @t128 @t1)) @t183))))) % 2.12/2.37 (assume @p507 (forall (@list @t54 @t55 @t3 @t74 @t75) (= (tptp.hAPP @t128 @t590) (tptp.hAPP (tptp.hAPP @t80 @t183) @t399)))) % 2.12/2.37 (assume @p508 (forall @t369 (or @t294 (tptp.hBOOL (tptp.hAPP @t64 @t452)) @t240))) % 2.12/2.37 (assume @p509 (forall @t577 (not (= tptp.c_Com_Ocom_OSKIP @t447)))) % 2.12/2.37 (assume @p510 (forall @t27 (or @t26 @t68 @t65))) % 2.12/2.37 (assume @p511 (forall (@list @t74 @t55 @t3) (= (tptp.c_Product__Type_OSigma @t74 (tptp.c_COMBK @t347 @t238 @t3) @t3 @t55) @t510))) % 2.12/2.37 (assume @p512 (forall @t594 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t347 @t593 @t55 @t42) @t130))) % 2.12/2.37 (assume @p513 (forall (@list @t3 @t584) (or @t294 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp (tptp.c_COMBK @t584 @t3 @t3) @t3) @t584)))) % 2.12/2.37 (assume @p514 (forall (@list @t568 @t54 @t571 @t595 @t3 @t55) (or (= (tptp.hAPP (tptp.hAPP @t568 (tptp.c_COMBK (tptp.hAPP @t54 (tptp.hAPP @t571 @t595)) @t3 @t3)) @t595) (tptp.hAPP @t569 @t595)) @t574))) % 2.12/2.37 (assume @p515 (forall (@list @t312 @t598 @t248 @t597 @t596) (or (not (tptp.hBOOL (tptp.hAPP @t312 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t598 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t248 @t597 @t596 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t312 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t598 @t248) @t597) @t596)))))) % 2.12/2.37 (assume @p516 (forall (@list @t312 @t598 @t600 @t438 @t599) (or (not (tptp.hBOOL (tptp.hAPP @t312 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t598 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t600 @t438 @t599 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t312 @t601))))) % 2.12/2.37 (assume @p517 (forall @t603 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t598 @t602 @t55 @t3) @t601))) % 2.12/2.37 (assume @p518 (forall @t603 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t598 @t602 @t55 @t3) @t601))) % 2.12/2.37 (assume @p519 (forall (@list @t78 @t605 @t3 @t604) (or @t608 (not (tptp.hBOOL (tptp.hAPP @t607 @t604))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t604 @t3))))) % 2.12/2.37 (assume @p520 (forall @t611 (or @t608 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t606 @t609) @t78))) @t610))) % 2.12/2.37 (assume @p521 (forall @t613 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t78 @t605 @t3) @t612))) % 2.12/2.37 (assume @p522 (forall @t613 (or @t608 (not (tptp.hBOOL (tptp.hAPP @t607 @t78)))))) % 2.12/2.37 (assume @p523 (forall @t615 (or @t614 (not (tptp.hBOOL (tptp.hAPP @t312 (tptp.c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1 @t312))))))) % 2.12/2.37 (assume @p524 (forall @t617 (= (tptp.c_Product__Type_Obool_Obool__case @t598 @t616 tptp.c_False @t3) @t616))) % 2.12/2.37 (assume @p525 (forall @t615 (or (tptp.hBOOL (tptp.hAPP @t312 (tptp.c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1 @t312))) (not @t614)))) % 2.12/2.37 (assume @p526 (forall @t617 (= (tptp.c_Product__Type_Obool_Obool__rec @t598 @t616 tptp.c_False @t3) @t616))) % 2.12/2.37 (assume @p527 (forall @t527 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t526 @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t524 @t3))))) % 2.12/2.37 (assume @p528 (forall @t622 (or @t621 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.hAPP @t620 @t78) @t619 @t3))))) % 2.12/2.37 (assume @p529 (forall @t622 (or @t621 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t619 @t3))))) % 2.12/2.37 (assume @p530 (forall (@list @t78 @t312 @t6 @t28 @t33 @t311 @t3) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 (tptp.c_Com_Ocom_OCond @t6 @t28 @t33) @t311 @t3) @t520) @t522) @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t525 @t33 @t311 @t3) @t520) @t522) @t3)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t523 @t28 @t311 @t3) @t520) @t522) @t3))))) % 2.12/2.37 (assume @p531 (forall (@list @t28 @t55 @t3 @t74 @t1) (or (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_COMBK @t28 @t55 @t3) @t3 @t55) @t74) (tptp.hAPP (tptp.c_Set_Oinsert @t28 @t55) @t347)) @t240))) % 2.12/2.37 (assume @p532 (forall @t562 (or (not (tptp.class_Orderings_Obot @t55)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t413) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t55))))) % 2.12/2.37 (assume @p533 (forall @t132 (or @t294 (= (tptp.hAPP @t451 @t161) @t332)))) % 2.12/2.37 (assume @p534 (forall @t469 (= (tptp.c_Collect (tptp.hAPP @t467 @t2) @t3) @t243))) % 2.12/2.37 (assume @p535 (forall (@list @t74 @t1 @t3) (or (= @t74 @t417) @t247 (not (tptp.hBOOL (tptp.hAPP @t94 @t417)))))) % 2.12/2.37 (assume @p536 (forall @t534 (tptp.hBOOL (tptp.c_in @t1 @t417 @t3)))) % 2.12/2.37 (assume @p537 (forall (@list @t382 @t2 @t3 @t381 @t380 @t379 @t378 @t377 @t376 @t375) (or (= (tptp.hAPP @t382 @t243) @t2) @t383))) % 2.12/2.37 (assume @p538 (forall (@list @t381 @t2 @t3 @t382 @t380 @t379 @t378 @t377 @t376 @t375) (or (= (tptp.hAPP @t381 @t243) @t2) @t383))) % 2.12/2.37 (assume @p539 (forall @t469 (or @t294 (= (tptp.hAPP @t451 @t243) @t2)))) % 2.12/2.37 (assume @p540 (forall @t534 (tptp.hBOOL (tptp.hAPP @t417 @t623)))) % 2.12/2.37 (assume @p541 (forall (@list @t2 @t3 @t55 @t75) (= (tptp.hAPP @t242 @t411) @t243))) % 2.12/2.37 (assume @p542 (forall (@list @t54 @t1 @t3) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t54 @t417 @t3) @t1)))) % 2.12/2.37 (assume @p543 (forall @t469 (or @t26 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t243 @t3) @t2)))) % 2.12/2.37 (assume @p544 (forall @t534 (= (tptp.c_The @t417 @t3) @t1))) % 2.12/2.37 (assume @p545 (forall (@list @t382 @t2 @t3 @t6 @t378 @t381 @t380 @t379 @t377 @t376 @t375) (or (= (tptp.hAPP @t382 @t362) (tptp.hAPP @t545 @t6)) @t383))) % 2.12/2.37 (assume @p546 (forall (@list @t381 @t2 @t3 @t6 @t377 @t382 @t380 @t379 @t378 @t376 @t375) (or (= (tptp.hAPP @t381 @t362) (tptp.hAPP @t546 @t6)) @t383))) % 2.12/2.37 (assume @p547 (forall @t277 (= @t273 (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t244 @t42) @t75)))) % 2.12/2.37 (assume @p548 (forall @t277 (= @t273 (tptp.hAPP @t402 @t243)))) % 2.12/2.37 (assume @p549 (forall (@list @t2 @t6 @t54 @t3) (or @t186 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t54 @t243 @t3) @t6)))))) % 2.12/2.37 (assume @p550 (forall @t534 (= (tptp.c_Set_Ocontents @t417 @t3) @t1))) % 2.12/2.37 (assume @p551 (forall (@list @t14 @t1 @t3) (or (= @t14 @t623) (not (tptp.hBOOL (tptp.hAPP @t417 @t14)))))) % 2.12/2.37 (assume @p552 (forall (@list @t6 @t2 @t3) (or (= @t6 @t2) (not (tptp.hBOOL (tptp.c_in @t6 @t243 @t3)))))) % 2.12/2.37 (assume @p553 (forall (@list @t54 @t2 @t3) (= (tptp.c_Finite__Set_Ofold1 @t54 @t243 @t3) @t2))) % 2.12/2.37 (assume @p554 (forall @t469 (or @t26 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t243 @t3) @t2)))) % 2.12/2.37 (assume @p555 (forall @t335 (= @t540 @t293))) % 2.12/2.37 (assume @p556 (forall @t469 (or @t45 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t2 @t2 @t3) @t243)))) % 2.12/2.37 (assume @p557 (forall (@list @t1 @t3 @t248) (or (not (= (tptp.hAPP @t209 @t248) @t161)) (tptp.hBOOL (tptp.c_in @t1 @t248 @t3))))) % 2.12/2.37 (assume @p558 (forall @t335 (= @t293 (tptp.hAPP (tptp.hAPP @t80 @t243) @t74)))) % 2.12/2.37 (assume @p559 (forall @t469 (or @t294 (= (tptp.hAPP @t291 @t243) @t2)))) % 2.12/2.37 (assume @p560 (forall @t625 (or @t425 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t624 @t3 @t55) @t422) @t247))) % 2.12/2.37 (assume @p561 (forall (@list @t28 @t3 @t55) (= (tptp.hAPP @t626 @t347) @t161))) % 2.12/2.37 (assume @p562 (forall @t625 (or @t425 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t624 @t3 @t55) @t422) @t247))) % 2.12/2.37 (assume @p563 (forall (@list @t74 @t3 @t55) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 (tptp.c_COMBK @t161 @t42 @t55) @t55 @t42) @t161))) % 2.12/2.37 (assume @p564 (forall @t627 (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t74 @t593 @t55 @t42) @t28) @t530))) % 2.12/2.37 (assume @p565 (forall @t627 (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t74 @t593 @t55 @t42) @t28) @t530))) % 2.12/2.37 (assume @p566 (forall @t594 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t347 @t593 @t55 @t42) @t161))) % 2.12/2.37 (assume @p567 (forall @t634 (or @t633 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_COMBK (tptp.hAPP (tptp.c_COMBC (tptp.c_fequal tptp.tc_Com_Ostate) tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_bool) @t632) @t630 tptp.t_a) @t28 (tptp.c_COMBK (tptp.hAPP @t311 @t631) @t630 tptp.t_a) tptp.t_a) @t628) @t629) tptp.t_a))))) % 2.12/2.37 (assume @p568 (forall @t641 (or @t633 (tptp.hBOOL (tptp.hAPP @t640 @t639)) (not (tptp.hBOOL (tptp.hAPP @t638 @t636))) @t635))) % 2.12/2.37 (assume @p569 (forall (@list @t78 @t312 @t28 @t311 @t642 @t637 @t643) (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t642 @t637) @t646)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t643 @t637) @t645))) @t644))) % 2.12/2.37 (assume @p570 (forall @t641 (or @t633 (tptp.hBOOL (tptp.hAPP @t640 @t648)) (not (tptp.hBOOL (tptp.hAPP @t638 @t647))) @t635))) % 2.12/2.37 (assume @p571 (forall @t634 (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t312 @t649) @t647))))) % 2.12/2.37 (assume @p572 (forall @t650 (or @t633 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t649) @t648))) @t635))) % 2.12/2.37 (assume @p573 (forall @t634 (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t312 @t651) @t636))))) % 2.12/2.37 (assume @p574 (forall @t655 (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t642 @t654) @t653)) @t652))) % 2.12/2.37 (assume @p575 (forall @t657 (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t312 @t656) @t645)) @t644))) % 2.12/2.37 (assume @p576 (forall @t661 (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t312 @t660) @t659)) @t658))) % 2.12/2.37 (assume @p577 (forall @t650 (or @t633 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t651) @t639))) @t635))) % 2.12/2.37 (assume @p578 (forall @t661 (or @t633 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t643 @t660) @t659))) @t658))) % 2.12/2.37 (assume @p579 (forall @t657 (or @t633 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t656) @t646))) @t644))) % 2.12/2.37 (assume @p580 (forall @t655 (or @t633 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t654) @t653))) @t652))) % 2.12/2.37 (assume @p581 (forall @t634 (or @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t312 @t631) @t632))))) % 2.12/2.37 (assume @p582 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 2.12/2.37 (assume @p583 (forall (@list @t28 @t3 @t55 @t74) (or (= (tptp.hAPP @t626 @t74) (tptp.hAPP @t662 @t161)) @t530))) % 2.12/2.37 (assume @p584 (forall @t132 (= @t161 (tptp.c_Collect @t663 @t3)))) % 2.12/2.37 (assume @p585 (forall @t132 (tptp.c_Wellfounded_OwfP (tptp.c_COMBK @t663 @t42 @t3) @t3))) % 2.12/2.37 (assume @p586 (forall (@list @t78 @t312 @t3) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 tptp.c_Com_Ocom_OSKIP @t312 @t3) @t520) @t522) @t3))) % 2.12/2.37 (assume @p587 (forall (@list @t78 @t312 @t28 @t33 @t310 @t3 @t311) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 (tptp.c_Com_Ocom_OSemi @t28 @t33) @t310 @t3) @t520) @t522) @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t311 @t33 @t310 @t3) @t520) @t522) @t3)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 (tptp.hAPP (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t312 @t28 @t311 @t3) @t520) @t522) @t3))))) % 2.12/2.37 (assume @p588 (forall @t667 (or @t666 @t612 (not @t665)))) % 2.12/2.37 (assume @p589 (forall (@list @t78 @t605 @t3 @t584) (or @t608 @t668))) % 2.12/2.37 (assume @p590 (forall @t541 (tptp.hBOOL (tptp.hAPP @t210 @t1)))) % 2.12/2.37 (assume @p591 (forall @t611 (or @t608 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t609 @t3)) @t610))) % 2.12/2.37 (assume @p592 (forall @t295 (not (= @t161 @t293)))) % 2.12/2.37 (assume @p593 (forall @t672 (or @t671 (= @t599 @t669)))) % 2.12/2.37 (assume @p594 (forall @t672 (or @t671 @t509))) % 2.12/2.37 (assume @p595 (forall @t672 (or @t671 (= @t600 @t670)))) % 2.12/2.37 (assume @p596 (forall @t676 (or @t675 @t674 @t673))) % 2.12/2.37 (assume @p597 (forall @t676 (or @t675 @t677 @t673))) % 2.12/2.37 (assume @p598 (forall @t676 (or @t675 @t674 @t302))) % 2.12/2.37 (assume @p599 (forall @t676 (or @t675 @t677 @t302))) % 2.12/2.37 (assume @p600 (forall @t52 (not (tptp.hBOOL (tptp.hAPP @t161 @t1))))) % 2.12/2.37 (assume @p601 (forall (@list @t78 @t3) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t78 @t522 @t3))) % 2.12/2.37 (assume @p602 (forall (@list @t74 @t1 @t14 @t3) (or @t555 (= @t14 @t1) (not @t679)))) % 2.12/2.37 (assume @p603 (forall @t541 (= (tptp.hAPP @t209 @t210) @t210))) % 2.12/2.37 (assume @p604 (forall @t335 (not (= @t293 @t161)))) % 2.12/2.37 (assume @p605 (forall (@list @t1 @t3 @t14 @t74) (= (tptp.hAPP @t209 @t678) (tptp.hAPP @t476 @t210)))) % 2.12/2.37 (assume @p606 @t681) % 2.12/2.37 (assume @p607 (forall (@list @t248 @t3 @t1) (= (tptp.hAPP @t682 @t417) (tptp.hAPP @t209 (tptp.hAPP @t682 @t161))))) % 2.12/2.37 (assume @p608 (forall (@list @t2 @t3 @t6) (or (not (= @t243 @t361)) @t186))) % 2.12/2.37 (assume @p609 (forall @t667 (or @t665 @t668))) % 2.12/2.37 (assume @p610 (forall (@list @t14 @t3 @t74 @t1) (or @t679 @t557))) % 2.12/2.37 (assume @p611 (not @t685)) % 2.12/2.37 (assume @p612 (forall @t690 (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_prod @t686 @t688)) @t689 @t687))) % 2.12/2.37 (assume @p613 (forall @t690 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t691) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t688))))) % 2.12/2.37 (assume @p614 (forall @t690 (or (tptp.class_Lattices_Oupper__semilattice @t691) @t692))) % 2.12/2.37 (assume @p615 (forall @t690 (or (tptp.class_Lattices_Olower__semilattice @t691) @t692))) % 2.12/2.37 (assume @p616 (forall @t690 (or (tptp.class_Lattices_Odistrib__lattice @t691) (not (tptp.class_Lattices_Odistrib__lattice @t688))))) % 2.12/2.37 (assume @p617 (forall @t690 (or (tptp.class_Lattices_Obounded__lattice @t691) (not (tptp.class_Lattices_Obounded__lattice @t688))))) % 2.12/2.37 (assume @p618 (forall @t690 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t691) @t689 @t687))) % 2.12/2.37 (assume @p619 (forall @t690 (or (tptp.class_Orderings_Opreorder @t691) (not (tptp.class_Orderings_Opreorder @t688))))) % 2.12/2.37 (assume @p620 (forall @t690 (or (tptp.class_Lattices_Olattice @t691) @t692))) % 2.12/2.37 (assume @p621 (forall @t690 (or (tptp.class_Orderings_Oorder @t691) (not (tptp.class_Orderings_Oorder @t688))))) % 2.12/2.37 (assume @p622 (forall @t690 (or (tptp.class_Orderings_Otop @t691) (not (tptp.class_Orderings_Otop @t688))))) % 2.12/2.37 (assume @p623 (forall @t690 (or (tptp.class_Orderings_Obot @t691) (not (tptp.class_Orderings_Obot @t688))))) % 2.12/2.37 (assume @p624 (forall @t690 (or (tptp.class_HOL_Ominus @t691) (not (tptp.class_HOL_Ominus @t688))))) % 2.12/2.37 (assume @p625 (forall @t690 (or (tptp.class_HOL_Oord @t691) (not (tptp.class_HOL_Oord @t688))))) % 2.12/2.37 (assume @p626 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 2.12/2.37 (assume @p627 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 2.12/2.37 (assume @p628 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 2.12/2.37 (assume @p629 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 2.12/2.37 (assume @p630 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 2.12/2.37 (assume @p631 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 2.12/2.37 (assume @p632 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 2.12/2.37 (assume @p633 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 2.12/2.37 (assume @p634 (tptp.class_Orderings_Obot tptp.tc_nat)) % 2.12/2.37 (assume @p635 (tptp.class_HOL_Ominus tptp.tc_nat)) % 2.12/2.37 (assume @p636 (tptp.class_HOL_Oord tptp.tc_nat)) % 2.12/2.37 (assume @p637 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 2.12/2.37 (assume @p638 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 2.12/2.37 (assume @p639 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 2.12/2.37 (assume @p640 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 2.12/2.37 (assume @p641 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 2.12/2.37 (assume @p642 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 2.12/2.37 (assume @p643 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 2.12/2.37 (assume @p644 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 2.12/2.37 (assume @p645 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 2.12/2.37 (assume @p646 (tptp.class_Orderings_Otop tptp.tc_bool)) % 2.12/2.37 (assume @p647 (tptp.class_Orderings_Obot tptp.tc_bool)) % 2.12/2.37 (assume @p648 (tptp.class_HOL_Ominus tptp.tc_bool)) % 2.12/2.37 (assume @p649 (tptp.class_HOL_Oord tptp.tc_bool)) % 2.12/2.37 (assume @p650 (forall @t442 (= (tptp.c_COMBI @t312 @t3) @t312))) % 2.12/2.37 (assume @p651 (forall @t52 (tptp.hBOOL (tptp.hAPP @t591 @t1)))) % 2.12/2.37 (assume @p652 (forall (@list @t694 @t693 @t3) (or (= @t694 @t693) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t467 @t694) @t693)))))) % 2.12/2.37 (step @p653 :rule evaluate :args ((= true false))) % 2.12/2.37 (step @p654 :rule instantiate :premises (@p600) :args ((@list tptp.tc_Com_Ostate @t695))) % 2.12/2.37 (step @p655 :rule false_intro :premises (@p654)) % 2.12/2.37 (step @p656 :rule refl :args (@t695)) % 2.12/2.37 (step @p657 :rule instantiate :premises (@p584) :args ((@list tptp.tc_Com_Ostate))) % 2.12/2.37 (step @p658 :rule symm :premises (@p657)) % 2.12/2.37 (step @p659 :rule eq-symm :args (@t441 @t312)) % 2.12/2.37 (step @p660 :rule cong :premises (@p659) :args (@t443)) % 2.12/2.37 (step @p661 :rule eq_resolve :premises (@p268 @p660)) % 2.12/2.37 (step @p662 :rule instantiate :premises (@p661) :args ((@list @t683 tptp.tc_Com_Ostate))) % 2.12/2.37 (step @p663 :rule eq-symm :args (@t680 @t312)) % 2.12/2.37 (step @p664 :rule cong :premises (@p663) :args (@t681)) % 2.12/2.37 (step @p665 :rule eq_resolve :premises (@p606 @p664)) % 2.12/2.37 (step @p666 :rule instantiate :premises (@p665) :args ((@list @t683 @t630 tptp.t_a @t696))) % 2.12/2.37 (step @p667 :rule symm :premises (@p666)) % 2.12/2.37 (step @p668 :rule trans :premises (@p667 @p662 @p658)) % 2.12/2.37 (step @p669 :rule cong :premises (@p668 @p656) :args (@t697)) % 2.12/2.37 (step @p670 :rule cong :premises (@p669) :args (@t698)) % 2.12/2.37 (step @p671 :rule instantiate :premises (@p571) :args ((@list tptp.v_G @t684 tptp.v_c tptp.v_Q))) % 2.12/2.37 (step @p672 :rule cnf_or_pos :args (@t699)) % 2.12/2.37 (step @p673 :rule reordering :premises (@p672) :args ((or @t685 @t698 (not @t699)))) % 2.12/2.37 (step @p674 :rule chain_m_resolution :premises (@p673 @p611 @p671) :args (@t698 (@list true false) (@list @t685 @t699))) % 2.12/2.37 (step @p675 :rule true_intro :premises (@p674)) % 2.12/2.37 (step @p676 :rule symm :premises (@p675)) % 2.12/2.37 (step @p677 :rule trans :premises (@p676 @p670 @p655)) % 2.12/2.37 (step @p678 false :rule eq_resolve :premises (@p677 @p653)) % 2.12/2.37 ) % 2.12/2.37 % SZS output end Proof % 2.12/2.37 % cvc5 exiting %------------------------------------------------------------------------------