%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV911-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:36 AM UTC 2026 % Result : Unsatisfiable 1.11s 1.39s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV911-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:21:22 EDT 2026 % 0.17/0.35 % 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... % 1.11/1.39 % SZS status Unsatisfiable % 1.11/1.39 % SZS output start Proof % 1.21/1.41 ( % 1.21/1.41 (declare-sort $$unsorted 0) % 1.21/1.41 (declare-const tptp.v_xb (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_P_H $$unsorted) % 1.21/1.41 (declare-const tptp.v_Q_H $$unsorted) % 1.21/1.41 (declare-const tptp.v_G $$unsorted) % 1.21/1.41 (declare-const tptp.v_c $$unsorted) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.tc_Com_Ocom $$unsorted) % 1.21/1.41 (declare-const tptp.t_c $$unsorted) % 1.21/1.41 (declare-const tptp.v_Q $$unsorted) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_P $$unsorted) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_False $$unsorted) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Not $$unsorted) % 1.21/1.41 (declare-const tptp.tc_Com_Ostate $$unsorted) % 1.21/1.41 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_xa $$unsorted) % 1.21/1.41 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_True $$unsorted) % 1.21/1.41 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.tc_nat $$unsorted) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.t_b $$unsorted) % 1.21/1.41 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.t_a $$unsorted) % 1.21/1.41 (declare-const tptp.v_x $$unsorted) % 1.21/1.41 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_R $$unsorted) % 1.21/1.41 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.tc_bool $$unsorted) % 1.21/1.41 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_HOL_OIf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.21/1.41 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.41 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 1.21/1.41 (define @t1 () (@var "T_a" $$unsorted)) % 1.21/1.41 (define @t2 () (@var "V_x" $$unsorted)) % 1.21/1.41 (define @t3 () (@var "V_y" $$unsorted)) % 1.21/1.41 (define @t4 () (tptp.c_lessequals @t3 @t2 @t1)) % 1.21/1.41 (define @t5 () (not @t4)) % 1.21/1.41 (define @t6 () (@var "V_z" $$unsorted)) % 1.21/1.41 (define @t7 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t3 @t1))) % 1.21/1.41 (define @t8 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 1.21/1.41 (define @t9 () (not (tptp.class_Orderings_Oorder @t1))) % 1.21/1.41 (define @t10 () (@list @t1 @t6 @t2 @t3)) % 1.21/1.41 (define @t11 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.21/1.41 (define @t12 () (@var "V_B" $$unsorted)) % 1.21/1.41 (define @t13 () (@var "V_A" $$unsorted)) % 1.21/1.41 (define @t14 () (tptp.c_lessequals @t13 @t12 @t11)) % 1.21/1.41 (define @t15 () (not @t14)) % 1.21/1.41 (define @t16 () (not (tptp.c_Finite__Set_Ofinite @t12 @t1))) % 1.21/1.41 (define @t17 () (tptp.c_Finite__Set_Ofinite @t13 @t1)) % 1.21/1.41 (define @t18 () (@list @t13 @t1 @t12)) % 1.21/1.41 (define @t19 () (tptp.c_HOL_Oord__class_Oless @t13 @t12 @t11)) % 1.21/1.41 (define @t20 () (not @t19)) % 1.21/1.41 (define @t21 () (@var "V_C" $$unsorted)) % 1.21/1.41 (define @t22 () (tptp.c_lessequals @t12 @t21 @t11)) % 1.21/1.41 (define @t23 () (not @t22)) % 1.21/1.41 (define @t24 () (tptp.c_HOL_Oord__class_Oless @t13 @t21 @t11)) % 1.21/1.41 (define @t25 () (@list @t13 @t21 @t1 @t12)) % 1.21/1.41 (define @t26 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t21 @t11))) % 1.21/1.41 (define @t27 () (tptp.c_lessequals @t2 @t3 @t1)) % 1.21/1.41 (define @t28 () (not @t27)) % 1.21/1.41 (define @t29 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t6 @t1))) % 1.21/1.41 (define @t30 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 1.21/1.41 (define @t31 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.21/1.41 (define @t32 () (@list @t1 @t2 @t6 @t3)) % 1.21/1.41 (define @t33 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 1.21/1.41 (define @t34 () (not @t33)) % 1.21/1.41 (define @t35 () (tptp.c_lessequals @t3 @t6 @t1)) % 1.21/1.41 (define @t36 () (not @t35)) % 1.21/1.41 (define @t37 () (@var "V_b" $$unsorted)) % 1.21/1.41 (define @t38 () (@var "V_a" $$unsorted)) % 1.21/1.41 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t38 @t37 @t1)) % 1.21/1.41 (define @t40 () (tptp.c_Orderings_Obot__class_Obot @t11)) % 1.21/1.41 (define @t41 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t38 @t37 @t1)) % 1.21/1.41 (define @t42 () (= @t41 @t40)) % 1.21/1.41 (define @t43 () (@list @t1 @t38 @t37)) % 1.21/1.41 (define @t44 () (not @t39)) % 1.21/1.41 (define @t45 () (@var "V_l" $$unsorted)) % 1.21/1.41 (define @t46 () (@var "V_k" $$unsorted)) % 1.21/1.41 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t46 @t45 @t1)) % 1.21/1.41 (define @t48 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t46 @t45 @t1)) % 1.21/1.41 (define @t49 () (= @t40 @t48)) % 1.21/1.41 (define @t50 () (@list @t1 @t46 @t45)) % 1.21/1.41 (define @t51 () (not @t47)) % 1.21/1.41 (define @t52 () (= @t6 @t2)) % 1.21/1.41 (define @t53 () (@var "V_f" $$unsorted)) % 1.21/1.41 (define @t54 () (tptp.hAPP @t53 @t6)) % 1.21/1.41 (define @t55 () (@var "T_b" $$unsorted)) % 1.21/1.41 (define @t56 () (tptp.c_Fun_Ofun__upd @t53 @t2 @t3 @t55 @t1)) % 1.21/1.41 (define @t57 () (tptp.c_Fun_Ofun__upd @t53 @t2 @t3 @t1 @t55)) % 1.21/1.41 (define @t58 () (@list @t53 @t2 @t3 @t1 @t55 @t6)) % 1.21/1.41 (define @t59 () (@var "V_y_H" $$unsorted)) % 1.21/1.41 (define @t60 () (@var "V_x_H" $$unsorted)) % 1.21/1.41 (define @t61 () (tptp.c_HOL_Oord__class_Oless @t60 @t59 @t1)) % 1.21/1.41 (define @t62 () (tptp.c_HOL_Ominus__class_Ominus @t60 @t59 @t1)) % 1.21/1.41 (define @t63 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1) @t62))) % 1.21/1.41 (define @t64 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.21/1.41 (define @t65 () (@list @t1 @t2 @t3 @t60 @t59)) % 1.21/1.41 (define @t66 () (tptp.tc_fun @t55 tptp.tc_bool)) % 1.21/1.41 (define @t67 () (tptp.c_Set_Oimage @t53 @t12 @t1 @t55)) % 1.21/1.41 (define @t68 () (tptp.c_Set_Oimage @t53 @t13 @t1 @t55)) % 1.21/1.41 (define @t69 () (@list @t53 @t13 @t1 @t55 @t12)) % 1.21/1.41 (define @t70 () (tptp.c_Set_Oimage @t53 @t13 @t55 @t1)) % 1.21/1.41 (define @t71 () (@list @t2 @t13 @t55 @t53 @t1)) % 1.21/1.41 (define @t72 () (tptp.c_lessequals @t37 @t38 @t1)) % 1.21/1.41 (define @t73 () (not @t72)) % 1.21/1.41 (define @t74 () (= @t38 @t37)) % 1.21/1.41 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t37 @t38 @t1)) % 1.21/1.41 (define @t76 () (@list @t1 @t37 @t38)) % 1.21/1.41 (define @t77 () (= @t13 @t12)) % 1.21/1.41 (define @t78 () (@list @t13 @t12 @t1)) % 1.21/1.41 (define @t79 () (= @t2 @t3)) % 1.21/1.41 (define @t80 () (@list @t1 @t2 @t3)) % 1.21/1.41 (define @t81 () (tptp.c_lessequals @t38 @t37 @t1)) % 1.21/1.41 (define @t82 () (not @t81)) % 1.21/1.41 (define @t83 () (not (tptp.class_Orderings_Olinorder @t1))) % 1.21/1.41 (define @t84 () (tptp.c_Set_Oimage @t53 @t12 @t55 @t1)) % 1.21/1.41 (define @t85 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11)) % 1.21/1.41 (define @t86 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66)) % 1.21/1.41 (define @t87 () (tptp.hAPP (tptp.hAPP @t86 @t13) @t12)) % 1.21/1.41 (define @t88 () (not @t75)) % 1.21/1.41 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 1.21/1.41 (define @t90 () (not @t89)) % 1.21/1.41 (define @t91 () (@list @t1 @t3 @t2)) % 1.21/1.41 (define @t92 () (not @t17)) % 1.21/1.41 (define @t93 () (not (tptp.c_lessequals @t12 @t13 @t11))) % 1.21/1.41 (define @t94 () (tptp.c_Finite__Set_Osetsum @t53 @t12 @t1 @t55)) % 1.21/1.41 (define @t95 () (tptp.c_Finite__Set_Osetsum @t53 @t13 @t1 @t55)) % 1.21/1.41 (define @t96 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t12 @t11)) % 1.21/1.41 (define @t97 () (not (tptp.class_OrderedGroup_Oab__group__add @t55))) % 1.21/1.41 (define @t98 () (= @t48 @t40)) % 1.21/1.41 (define @t99 () (tptp.hBOOL (tptp.c_in @t2 @t13 @t1))) % 1.21/1.41 (define @t100 () (tptp.hAPP @t53 @t2)) % 1.21/1.41 (define @t101 () (tptp.hAPP @t100 @t3)) % 1.21/1.41 (define @t102 () (tptp.c_Set_Oinsert @t1)) % 1.21/1.41 (define @t103 () (tptp.hAPP @t102 @t2)) % 1.21/1.41 (define @t104 () (tptp.hAPP @t103 @t13)) % 1.21/1.41 (define @t105 () (not @t99)) % 1.21/1.41 (define @t106 () (tptp.c_Set_Oinsert @t55)) % 1.21/1.41 (define @t107 () (tptp.hAPP @t103 @t12)) % 1.21/1.41 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t13 @t107 @t11)) % 1.21/1.41 (define @t109 () (not @t108)) % 1.21/1.41 (define @t110 () (tptp.hBOOL (tptp.c_in @t2 @t12 @t1))) % 1.21/1.41 (define @t111 () (not @t110)) % 1.21/1.41 (define @t112 () (@list @t13 @t12 @t1 @t2)) % 1.21/1.41 (define @t113 () (@list @t13 @t1 @t2 @t12)) % 1.21/1.41 (define @t114 () (tptp.hBOOL (tptp.c_in @t2 @t13 @t55))) % 1.21/1.41 (define @t115 () (not @t114)) % 1.21/1.41 (define @t116 () (@var "V_d" $$unsorted)) % 1.21/1.41 (define @t117 () (@var "V_c" $$unsorted)) % 1.21/1.41 (define @t118 () (not (tptp.c_lessequals @t41 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t117 @t116 @t1) @t11))) % 1.21/1.41 (define @t119 () (tptp.c_lessequals @t37 @t116 @t1)) % 1.21/1.41 (define @t120 () (@list @t1 @t37 @t116 @t38 @t117)) % 1.21/1.41 (define @t121 () (tptp.c_lessequals @t117 @t38 @t1)) % 1.21/1.41 (define @t122 () (@list @t1 @t117 @t38 @t37 @t116)) % 1.21/1.41 (define @t123 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t117 @t116 @t1)) % 1.21/1.41 (define @t124 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t38 @t37 @t1)) % 1.21/1.41 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t124 @t123 @t11)) % 1.21/1.41 (define @t126 () (not @t125)) % 1.21/1.41 (define @t127 () (tptp.c_lessequals @t117 @t116 @t1)) % 1.21/1.41 (define @t128 () (not @t127)) % 1.21/1.41 (define @t129 () (@list @t1 @t38 @t37 @t117 @t116)) % 1.21/1.41 (define @t130 () (@var "V_m" $$unsorted)) % 1.21/1.41 (define @t131 () (not (tptp.c_lessequals @t45 @t130 @t1))) % 1.21/1.41 (define @t132 () (@var "V_u" $$unsorted)) % 1.21/1.41 (define @t133 () (not (tptp.c_lessequals @t130 @t132 @t1))) % 1.21/1.41 (define @t134 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t45 @t132 @t1)) % 1.21/1.41 (define @t135 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t130 @t132 @t1)) % 1.21/1.41 (define @t136 () (@list @t1 @t45 @t130 @t132)) % 1.21/1.41 (define @t137 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t45 @t132 @t1)) % 1.21/1.41 (define @t138 () (tptp.hAPP @t85 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t45 @t130 @t1))) % 1.21/1.41 (define @t139 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t12 @t1 @t66)) % 1.21/1.41 (define @t140 () (tptp.hAPP @t12 @t2)) % 1.21/1.41 (define @t141 () (tptp.hBOOL (tptp.c_in @t38 @t13 @t1))) % 1.21/1.41 (define @t142 () (tptp.hAPP @t102 @t38)) % 1.21/1.41 (define @t143 () (tptp.hAPP @t142 @t40)) % 1.21/1.41 (define @t144 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t143 @t11)) % 1.21/1.41 (define @t145 () (tptp.c_Finite__Set_Osetsum @t53 @t144 @t1 @t55)) % 1.21/1.41 (define @t146 () (@list @t55 @t53 @t13 @t1 @t38)) % 1.21/1.41 (define @t147 () (tptp.c_Orderings_Obot__class_Obot @t66)) % 1.21/1.41 (define @t148 () (tptp.hAPP @t102 @t3)) % 1.21/1.41 (define @t149 () (tptp.c_Set_Oimage @t56 @t13 @t55 @t1)) % 1.21/1.41 (define @t150 () (@list @t53 @t2 @t3 @t55 @t1 @t13)) % 1.21/1.41 (define @t151 () (@var "V_n" $$unsorted)) % 1.21/1.41 (define @t152 () (@var "V_i" $$unsorted)) % 1.21/1.41 (define @t153 () (= @t124 @t40)) % 1.21/1.41 (define @t154 () (tptp.c_COMBK @t117 @t1 @t55)) % 1.21/1.41 (define @t155 () (tptp.hAPP @t142 @t12)) % 1.21/1.41 (define @t156 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t155 @t11)) % 1.21/1.41 (define @t157 () (tptp.c_Finite__Set_Ofinite @t156 @t1)) % 1.21/1.41 (define @t158 () (tptp.c_Finite__Set_Ofinite @t96 @t1)) % 1.21/1.41 (define @t159 () (not @t158)) % 1.21/1.41 (define @t160 () (@list @t13 @t1 @t38 @t12)) % 1.21/1.41 (define @t161 () (tptp.hAPP @t85 @t13)) % 1.21/1.41 (define @t162 () (tptp.hAPP @t161 @t12)) % 1.21/1.41 (define @t163 () (not (tptp.c_Fun_Oinj__on @t53 @t162 @t1 @t55))) % 1.21/1.41 (define @t164 () (tptp.c_Fun_Oinj__on @t53 @t13 @t1 @t55)) % 1.21/1.41 (define @t165 () (not @t164)) % 1.21/1.41 (define @t166 () (@var "T_c" $$unsorted)) % 1.21/1.41 (define @t167 () (@var "V_g" $$unsorted)) % 1.21/1.41 (define @t168 () (@var "V_D" $$unsorted)) % 1.21/1.41 (define @t169 () (tptp.hBOOL (tptp.c_in @t2 @t168 @t1))) % 1.21/1.41 (define @t170 () (tptp.c_Map_Orestrict__map @t130 @t168 @t1 @t55)) % 1.21/1.41 (define @t171 () (tptp.tc_Option_Ooption @t55)) % 1.21/1.41 (define @t172 () (tptp.c_Map_Orestrict__map (tptp.c_Fun_Ofun__upd @t130 @t2 @t3 @t1 @t171) @t168 @t1 @t55)) % 1.21/1.41 (define @t173 () (@list @t130 @t2 @t3 @t1 @t55 @t168)) % 1.21/1.41 (define @t174 () (tptp.hAPP @t53 @t38)) % 1.21/1.41 (define @t175 () (tptp.hAPP @t142 @t13)) % 1.21/1.41 (define @t176 () (@list @t53 @t1 @t38 @t13 @t55)) % 1.21/1.41 (define @t177 () (not (tptp.c_lessequals @t6 @t3 @t1))) % 1.21/1.41 (define @t178 () (@var "V_r" $$unsorted)) % 1.21/1.41 (define @t179 () (tptp.hAPP @t53 tptp.v_x)) % 1.21/1.41 (define @t180 () (@var "T_aa" $$unsorted)) % 1.21/1.41 (define @t181 () (@list @t53 @t2 @t55 @t1)) % 1.21/1.41 (define @t182 () (@var "V_F" $$unsorted)) % 1.21/1.41 (define @t183 () (tptp.c_Finite__Set_Ofinite @t182 @t1)) % 1.21/1.41 (define @t184 () (not @t183)) % 1.21/1.41 (define @t185 () (@var "V_h" $$unsorted)) % 1.21/1.41 (define @t186 () (tptp.tc_fun @t1 @t55)) % 1.21/1.41 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t53 @t167 @t186)) % 1.21/1.41 (define @t188 () (not @t187)) % 1.21/1.41 (define @t189 () (tptp.c_lessequals @t53 @t167 @t186)) % 1.21/1.41 (define @t190 () (not (tptp.class_HOL_Oord @t55))) % 1.21/1.41 (define @t191 () (@list @t55 @t53 @t167 @t1)) % 1.21/1.41 (define @t192 () (not @t121)) % 1.21/1.41 (define @t193 () (not @t119)) % 1.21/1.41 (define @t194 () (tptp.c_HOL_Oord__class_Oless @t117 @t38 @t1)) % 1.21/1.41 (define @t195 () (tptp.c_HOL_Oord__class_Oless @t37 @t116 @t1)) % 1.21/1.41 (define @t196 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t1)) % 1.21/1.41 (define @t197 () (not @t196)) % 1.21/1.41 (define @t198 () (@list @t1 @t2)) % 1.21/1.41 (define @t199 () (not @t189)) % 1.21/1.41 (define @t200 () (tptp.c_lessequals @t167 @t53 @t186)) % 1.21/1.41 (define @t201 () (@list @t2 @t1)) % 1.21/1.41 (define @t202 () (tptp.c_Fun_Oinj__on @t53 @t12 @t1 @t55)) % 1.21/1.41 (define @t203 () (not @t202)) % 1.21/1.41 (define @t204 () (tptp.c_Fun_Oid @t55)) % 1.21/1.41 (define @t205 () (@var "V_G" $$unsorted)) % 1.21/1.41 (define @t206 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t85 @t182) @t205) @t1)) % 1.21/1.41 (define @t207 () (not @t206)) % 1.21/1.41 (define @t208 () (tptp.c_Finite__Set_Ofinite @t205 @t1)) % 1.21/1.41 (define @t209 () (tptp.c_Set_Oimage @t53 @t13 @t1 @t1)) % 1.21/1.41 (define @t210 () (tptp.c_Fun_Oinj__on @t53 @t13 @t1 @t1)) % 1.21/1.41 (define @t211 () (@list @t53 @t13 @t1)) % 1.21/1.41 (define @t212 () (= @t38 @t117)) % 1.21/1.41 (define @t213 () (@var "V_Y" $$unsorted)) % 1.21/1.41 (define @t214 () (tptp.c_COMBI @t1)) % 1.21/1.41 (define @t215 () (@list @t1 @t213)) % 1.21/1.41 (define @t216 () (tptp.hBOOL (tptp.c_in @t117 @t13 @t1))) % 1.21/1.41 (define @t217 () (not @t216)) % 1.21/1.41 (define @t218 () (tptp.hBOOL (tptp.c_in @t117 @t12 @t1))) % 1.21/1.41 (define @t219 () (@list @t117 @t12 @t1 @t13)) % 1.21/1.41 (define @t220 () (tptp.c_lessequals @t2 @t2 @t1)) % 1.21/1.41 (define @t221 () (tptp.hAPP @t53 @t3)) % 1.21/1.41 (define @t222 () (tptp.c_Fun_Oid @t1)) % 1.21/1.41 (define @t223 () (= @t40 @t41)) % 1.21/1.41 (define @t224 () (@list @t1 @t13)) % 1.21/1.41 (define @t225 () (tptp.hBOOL (tptp.c_in @t100 @t70 @t1))) % 1.21/1.41 (define @t226 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t1)) % 1.21/1.41 (define @t227 () (tptp.hAPP @t226 @t38)) % 1.21/1.41 (define @t228 () (tptp.hAPP @t227 @t37)) % 1.21/1.41 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t2 @t228 @t1)) % 1.21/1.41 (define @t230 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 1.21/1.41 (define @t231 () (@list @t1 @t2 @t38 @t37)) % 1.21/1.41 (define @t232 () (= @t13 @t147)) % 1.21/1.41 (define @t233 () (@list @t13 @t1)) % 1.21/1.41 (define @t234 () (@list @t1)) % 1.21/1.41 (define @t235 () (tptp.c_Set_Oimage @t53 @t147 @t55 @t1)) % 1.21/1.41 (define @t236 () (@list @t53 @t55 @t1)) % 1.21/1.41 (define @t237 () (@list @t53 @t6 @t1 @t55)) % 1.21/1.41 (define @t238 () (tptp.hAPP @t106 @t38)) % 1.21/1.41 (define @t239 () (tptp.c_Finite__Set_Ofinite @t175 @t1)) % 1.21/1.41 (define @t240 () (@list @t1 @t38 @t13)) % 1.21/1.41 (define @t241 () (not @t141)) % 1.21/1.41 (define @t242 () (= @t145 (tptp.c_HOL_Ominus__class_Ominus @t95 @t174 @t55))) % 1.21/1.41 (define @t243 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t45 @t132 @t1)) % 1.21/1.41 (define @t244 () (tptp.hAPP @t102 @t117)) % 1.21/1.41 (define @t245 () (tptp.c_lessequals @t13 @t21 @t11)) % 1.21/1.41 (define @t246 () (not @t245)) % 1.21/1.41 (define @t247 () (tptp.c_Finite__Set_Olinorder__class_OMax @t13 @t1)) % 1.21/1.41 (define @t248 () (@list @t1 @t2 @t13)) % 1.21/1.41 (define @t249 () (tptp.c_Finite__Set_Olinorder__class_OMin @t13 @t1)) % 1.21/1.41 (define @t250 () (@list @t1 @t13 @t2)) % 1.21/1.41 (define @t251 () (= @t13 @t40)) % 1.21/1.41 (define @t252 () (tptp.c_Option_Ooption_ONone @t55)) % 1.21/1.41 (define @t253 () (tptp.c_Fun_Ofun__upd @t170 @t2 @t252 @t1 @t171)) % 1.21/1.41 (define @t254 () (@list @t130 @t168 @t1 @t55 @t2)) % 1.21/1.41 (define @t255 () (not (tptp.hBOOL (tptp.c_in @t3 @t13 @t1)))) % 1.21/1.41 (define @t256 () (not (= @t100 @t221))) % 1.21/1.41 (define @t257 () (@list @t53 @t2 @t3 @t13 @t1 @t55)) % 1.21/1.41 (define @t258 () (@var "V_xa" $$unsorted)) % 1.21/1.41 (define @t259 () (tptp.hAPP @t226 @t3)) % 1.21/1.41 (define @t260 () (tptp.hAPP @t259 @t6)) % 1.21/1.41 (define @t261 () (tptp.hAPP @t226 @t2)) % 1.21/1.41 (define @t262 () (tptp.hAPP @t261 @t260)) % 1.21/1.41 (define @t263 () (tptp.hAPP @t261 @t3)) % 1.21/1.41 (define @t264 () (= (tptp.hAPP (tptp.hAPP @t226 @t263) @t6) @t262)) % 1.21/1.41 (define @t265 () (not (tptp.class_Lattices_Olattice @t1))) % 1.21/1.41 (define @t266 () (@list @t1 @t2 @t3 @t6)) % 1.21/1.41 (define @t267 () (= @t262 (tptp.hAPP @t259 (tptp.hAPP @t261 @t6)))) % 1.21/1.41 (define @t268 () (tptp.hAPP @t85 @t12)) % 1.21/1.41 (define @t269 () (tptp.hAPP @t268 @t21)) % 1.21/1.41 (define @t270 () (tptp.hAPP @t161 @t269)) % 1.21/1.41 (define @t271 () (@list @t1 @t13 @t12 @t21)) % 1.21/1.41 (define @t272 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 1.21/1.41 (define @t273 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.21/1.41 (define @t274 () (@var "V_pname_H" $$unsorted)) % 1.21/1.41 (define @t275 () (tptp.c_Com_Ocom_OBODY @t274)) % 1.21/1.41 (define @t276 () (@var "V_com2" $$unsorted)) % 1.21/1.41 (define @t277 () (@var "V_com1" $$unsorted)) % 1.21/1.41 (define @t278 () (tptp.c_Com_Ocom_OSemi @t277 @t276)) % 1.21/1.41 (define @t279 () (@var "V_R" $$unsorted)) % 1.21/1.41 (define @t280 () (@var "V_Q" $$unsorted)) % 1.21/1.41 (define @t281 () (tptp.hAPP @t280 @t279)) % 1.21/1.41 (define @t282 () (@var "V_P" $$unsorted)) % 1.21/1.41 (define @t283 () (tptp.hAPP @t282 @t279)) % 1.21/1.41 (define @t284 () (@var "V_S" $$unsorted)) % 1.21/1.41 (define @t285 () (tptp.hBOOL (tptp.c_in @t2 @t284 @t1))) % 1.21/1.41 (define @t286 () (tptp.hBOOL (tptp.hAPP @t284 @t2))) % 1.21/1.41 (define @t287 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t147 @t12 @t55 @t11)) % 1.21/1.41 (define @t288 () (@list @t53 @t1 @t55)) % 1.21/1.41 (define @t289 () (tptp.hAPP @t167 tptp.v_x)) % 1.21/1.41 (define @t290 () (tptp.tc_fun tptp.t_a @t55)) % 1.21/1.41 (define @t291 () (tptp.c_lessequals @t13 @t107 @t11)) % 1.21/1.41 (define @t292 () (not @t291)) % 1.21/1.41 (define @t293 () (tptp.hAPP @t103 @t40)) % 1.21/1.41 (define @t294 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t293 @t11)) % 1.21/1.41 (define @t295 () (tptp.c_lessequals @t294 @t12 @t11)) % 1.21/1.41 (define @t296 () (not @t295)) % 1.21/1.41 (define @t297 () (@var "V_M" $$unsorted)) % 1.21/1.41 (define @t298 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t55))) % 1.21/1.41 (define @t299 () (tptp.hAPP @t12 @t38)) % 1.21/1.41 (define @t300 () (tptp.c_HOL_Ominus__class_Ominus @t104 @t12 @t11)) % 1.21/1.41 (define @t301 () (@list @t1 @t2 @t13 @t12)) % 1.21/1.41 (define @t302 () (@var "V_com_H" $$unsorted)) % 1.21/1.41 (define @t303 () (@var "V_fun_H" $$unsorted)) % 1.21/1.41 (define @t304 () (tptp.c_Com_Ocom_OWhile @t303 @t302)) % 1.21/1.41 (define @t305 () (@list @t303 @t302)) % 1.21/1.41 (define @t306 () (@var "V_com" $$unsorted)) % 1.21/1.41 (define @t307 () (@var "V_fun" $$unsorted)) % 1.21/1.41 (define @t308 () (tptp.c_Com_Ocom_OWhile @t307 @t306)) % 1.21/1.41 (define @t309 () (tptp.c_Collect @t282 @t1)) % 1.21/1.41 (define @t310 () (@var "V_com2_H" $$unsorted)) % 1.21/1.41 (define @t311 () (= @t276 @t310)) % 1.21/1.41 (define @t312 () (@var "V_com1_H" $$unsorted)) % 1.21/1.41 (define @t313 () (tptp.c_Com_Ocom_OSemi @t312 @t310)) % 1.21/1.41 (define @t314 () (not (= @t278 @t313))) % 1.21/1.41 (define @t315 () (@list @t277 @t276 @t312 @t310)) % 1.21/1.41 (define @t316 () (= @t277 @t312)) % 1.21/1.41 (define @t317 () (not @t169)) % 1.21/1.41 (define @t318 () (tptp.c_Map_Orestrict__map @t130 (tptp.c_HOL_Ominus__class_Ominus @t168 @t293 @t11) @t1 @t55)) % 1.21/1.41 (define @t319 () (tptp.c_Fun_Ofun__upd @t318 @t2 @t3 @t1 @t171)) % 1.21/1.41 (define @t320 () (= (tptp.c_Fun_Ofun__upd @t170 @t2 @t3 @t1 @t171) @t319)) % 1.21/1.41 (define @t321 () (@list @t130 @t168 @t1 @t55 @t2 @t3)) % 1.21/1.41 (define @t322 () (tptp.c_Fun_Oinj__on @t53 @t175 @t1 @t55)) % 1.21/1.41 (define @t323 () (not @t322)) % 1.21/1.41 (define @t324 () (tptp.hBOOL (tptp.c_in @t174 (tptp.c_Set_Oimage @t53 @t144 @t1 @t55) @t55))) % 1.21/1.41 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t294 @t12 @t11)) % 1.21/1.41 (define @t326 () (not @t325)) % 1.21/1.41 (define @t327 () (not (tptp.c_lessequals @t45 @t132 @t1))) % 1.21/1.41 (define @t328 () (@list @t1 @t45 @t132)) % 1.21/1.41 (define @t329 () (@var "V_N" $$unsorted)) % 1.21/1.41 (define @t330 () (not (tptp.c_lessequals @t297 @t329 @t11))) % 1.21/1.41 (define @t331 () (= @t297 @t40)) % 1.21/1.41 (define @t332 () (not (tptp.c_Finite__Set_Ofinite @t329 @t1))) % 1.21/1.41 (define @t333 () (@list @t53 @t6 @t13 @t2 @t3 @t1 @t55)) % 1.21/1.41 (define @t334 () (tptp.c_lessequals @t162 @t21 @t11)) % 1.21/1.41 (define @t335 () (tptp.c_lessequals @t38 @t2 @t1)) % 1.21/1.41 (define @t336 () (tptp.c_lessequals @t37 @t2 @t1)) % 1.21/1.41 (define @t337 () (tptp.c_lessequals @t228 @t2 @t1)) % 1.21/1.41 (define @t338 () (tptp.c_lessequals @t2 @t263 @t1)) % 1.21/1.41 (define @t339 () (tptp.c_lessequals @t3 @t263 @t1)) % 1.21/1.41 (define @t340 () (tptp.c_lessequals @t6 @t2 @t1)) % 1.21/1.41 (define @t341 () (@list @t1 @t3 @t6 @t2)) % 1.21/1.41 (define @t342 () (tptp.c_lessequals @t2 @t6 @t1)) % 1.21/1.41 (define @t343 () (tptp.c_lessequals @t263 @t6 @t1)) % 1.21/1.41 (define @t344 () (@var "V_top" $$unsorted)) % 1.21/1.41 (define @t345 () (@var "V_bot" $$unsorted)) % 1.21/1.41 (define @t346 () (@var "V_sup" $$unsorted)) % 1.21/1.41 (define @t347 () (@var "V_inf" $$unsorted)) % 1.21/1.41 (define @t348 () (@var "V_less" $$unsorted)) % 1.21/1.41 (define @t349 () (@var "V_less__eq" $$unsorted)) % 1.21/1.41 (define @t350 () (@var "V_Sup" $$unsorted)) % 1.21/1.41 (define @t351 () (@var "V_Inf" $$unsorted)) % 1.21/1.41 (define @t352 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t351 @t350 @t349 @t348 @t347 @t346 @t345 @t344 @t1))) % 1.21/1.41 (define @t353 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t13 @t11)) % 1.21/1.41 (define @t354 () (tptp.hAPP @t161 @t353)) % 1.21/1.41 (define @t355 () (@list @t1 @t13 @t12)) % 1.21/1.41 (define @t356 () (tptp.c_Com_Ocom_OCond @t303 @t312 @t310)) % 1.21/1.41 (define @t357 () (@list @t303 @t312 @t310)) % 1.21/1.41 (define @t358 () (tptp.hBOOL (tptp.hAPP @t282 @t38))) % 1.21/1.41 (define @t359 () (tptp.hBOOL (tptp.c_in @t38 @t309 @t1))) % 1.21/1.41 (define @t360 () (tptp.hBOOL (tptp.c_in @t117 @t96 @t1))) % 1.21/1.41 (define @t361 () (tptp.c_lessequals @t104 @t12 @t11)) % 1.21/1.41 (define @t362 () (not @t361)) % 1.21/1.41 (define @t363 () (@list @t2 @t12 @t1 @t13)) % 1.21/1.41 (define @t364 () (tptp.c_COMBK @t117 @t11 @t55)) % 1.21/1.41 (define @t365 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t12 @t55 @t11)) % 1.21/1.41 (define @t366 () (@var "V_v" $$unsorted)) % 1.21/1.41 (define @t367 () (tptp.hAPP @t38 (tptp.hAPP @t37 @t366))) % 1.21/1.41 (define @t368 () (tptp.c_Fun_Ocomp @t38 @t37 @t166 @t55 @t1)) % 1.21/1.41 (define @t369 () (tptp.hAPP @t268 @t13)) % 1.21/1.41 (define @t370 () (tptp.c_fequal @t1)) % 1.21/1.41 (define @t371 () (tptp.hAPP (tptp.c_COMBC @t370 @t1 @t1 tptp.tc_bool) @t38)) % 1.21/1.41 (define @t372 () (tptp.c_Collect @t371 @t1)) % 1.21/1.41 (define @t373 () (tptp.hAPP @t351 @t13)) % 1.21/1.41 (define @t374 () (tptp.hAPP @t350 @t13)) % 1.21/1.41 (define @t375 () (= @t263 (tptp.hAPP @t259 @t2))) % 1.21/1.41 (define @t376 () (@var "V_pname" $$unsorted)) % 1.21/1.41 (define @t377 () (= @t307 @t303)) % 1.21/1.41 (define @t378 () (not (= @t308 @t304))) % 1.21/1.41 (define @t379 () (@list @t307 @t306 @t303 @t302)) % 1.21/1.41 (define @t380 () (= @t306 @t302)) % 1.21/1.41 (define @t381 () (= (tptp.hAPP @t261 @t263) @t263)) % 1.21/1.41 (define @t382 () (tptp.hBOOL (tptp.hAPP @t139 @t37))) % 1.21/1.41 (define @t383 () (tptp.c_Com_Ocom_OCond @t307 @t277 @t276)) % 1.21/1.41 (define @t384 () (@list @t274)) % 1.21/1.41 (define @t385 () (tptp.c_lessequals @t13 @t269 @t11)) % 1.21/1.41 (define @t386 () (tptp.c_lessequals @t96 @t21 @t11)) % 1.21/1.41 (define @t387 () (tptp.hAPP @t167 @t2)) % 1.21/1.41 (define @t388 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 1.21/1.41 (define @t389 () (tptp.tc_fun @t388 tptp.tc_bool)) % 1.21/1.41 (define @t390 () (tptp.c_Orderings_Obot__class_Obot @t389)) % 1.21/1.41 (define @t391 () (tptp.c_Hoare__Mirabelle_Opeek__and @t282 @t37 @t1)) % 1.21/1.41 (define @t392 () (tptp.c_Set_Oinsert @t388)) % 1.21/1.41 (define @t393 () (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t391 @t117 @t282 @t1)) @t390)) % 1.21/1.41 (define @t394 () (tptp.c_Hoare__Mirabelle_Opeek__and @t282 (tptp.c_Fun_Ocomp tptp.c_Not @t37 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t1)) % 1.21/1.41 (define @t395 () (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 (tptp.c_Com_Ocom_OWhile @t37 @t117) @t394 @t1)) @t390)) % 1.21/1.41 (define @t396 () (@list @t205 @t1 @t282 @t37 @t117)) % 1.21/1.41 (define @t397 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.21/1.41 (define @t398 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 1.21/1.41 (define @t399 () (not (= (tptp.hAPP (tptp.hAPP @t226 @t13) @t12) @t397))) % 1.21/1.41 (define @t400 () (tptp.hAPP @t85 @t40)) % 1.21/1.41 (define @t401 () (tptp.hBOOL (tptp.hAPP @t282 @t2))) % 1.21/1.41 (define @t402 () (not @t401)) % 1.21/1.41 (define @t403 () (not (tptp.hBOOL (tptp.c_in @t2 @t40 @t1)))) % 1.21/1.41 (define @t404 () (@list @t282 @t2 @t1)) % 1.21/1.41 (define @t405 () (@list @t53 @t1 @t2)) % 1.21/1.41 (define @t406 () (not (= @t162 @t40))) % 1.21/1.41 (define @t407 () (@list @t1 @t38)) % 1.21/1.41 (define @t408 () (tptp.hAPP @t142 @t144)) % 1.21/1.41 (define @t409 () (tptp.hAPP @t102 @t37)) % 1.21/1.41 (define @t410 () (tptp.hAPP @t409 @t40)) % 1.21/1.41 (define @t411 () (tptp.hAPP @t142 @t410)) % 1.21/1.41 (define @t412 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 1.21/1.41 (define @t413 () (tptp.hBOOL (tptp.c_in @t38 (tptp.hAPP @t409 @t13) @t1))) % 1.21/1.41 (define @t414 () (tptp.hAPP @t409 @t12)) % 1.21/1.41 (define @t415 () (tptp.hAPP @t347 @t38)) % 1.21/1.41 (define @t416 () (tptp.hAPP @t346 @t38)) % 1.21/1.41 (define @t417 () (tptp.c_Complete__Lattice_OSup__class_OSup @t13 @t1)) % 1.21/1.41 (define @t418 () (= @t140 @t40)) % 1.21/1.41 (define @t419 () (not @t360)) % 1.21/1.41 (define @t420 () (not @t218)) % 1.21/1.41 (define @t421 () (@var "V_I" $$unsorted)) % 1.21/1.41 (define @t422 () (tptp.hAPP @t13 @t2)) % 1.21/1.41 (define @t423 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t421 @t13 @t1 @t66)) % 1.21/1.41 (define @t424 () (not (= @t383 @t356))) % 1.21/1.41 (define @t425 () (@list @t307 @t277 @t276 @t303 @t312 @t310)) % 1.21/1.41 (define @t426 () (tptp.c_lessequals @t124 @t123 @t11)) % 1.21/1.41 (define @t427 () (not @t426)) % 1.21/1.41 (define @t428 () (tptp.hAPP (tptp.c_Map_Orestrict__map @t130 @t13 @t1 @t55) @t2)) % 1.21/1.41 (define @t429 () (@list @t130 @t13 @t1 @t55 @t2)) % 1.21/1.41 (define @t430 () (tptp.hAPP @t53 @t387)) % 1.21/1.41 (define @t431 () (tptp.hAPP (tptp.c_Fun_Ocomp @t53 @t167 @t55 @t1 @t166) @t2)) % 1.21/1.41 (define @t432 () (tptp.hBOOL (tptp.hAPP @t162 @t2))) % 1.21/1.41 (define @t433 () (tptp.hBOOL @t422)) % 1.21/1.41 (define @t434 () (tptp.hBOOL @t140)) % 1.21/1.41 (define @t435 () (@list @t1 @t13 @t12 @t2)) % 1.21/1.41 (define @t436 () (not @t433)) % 1.21/1.41 (define @t437 () (tptp.hBOOL (tptp.c_in @t117 @t162 @t1))) % 1.21/1.41 (define @t438 () (= @t263 @t3)) % 1.21/1.41 (define @t439 () (= @t162 @t12)) % 1.21/1.41 (define @t440 () (= @t40 @t124)) % 1.21/1.41 (define @t441 () (@var "T_d" $$unsorted)) % 1.21/1.41 (define @t442 () (@list @t312 @t310)) % 1.21/1.41 (define @t443 () (not (tptp.c_Finite__Set_Ofun__left__comm__idem @t53 @t1 @t55))) % 1.21/1.41 (define @t444 () (tptp.hAPP @t100 @t6)) % 1.21/1.41 (define @t445 () (@list @t117 @t1 @t13 @t12)) % 1.21/1.41 (define @t446 () (not @t343)) % 1.21/1.41 (define @t447 () (tptp.c_lessequals @t2 @t228 @t1)) % 1.21/1.41 (define @t448 () (not @t337)) % 1.21/1.41 (define @t449 () (not @t334)) % 1.21/1.41 (define @t450 () (@var "V_t" $$unsorted)) % 1.21/1.41 (define @t451 () (not (tptp.c_lessequals @t282 @t280 @t11))) % 1.21/1.41 (define @t452 () (tptp.hBOOL (tptp.hAPP @t280 @t2))) % 1.21/1.41 (define @t453 () (@list @t280 @t2 @t282 @t1)) % 1.21/1.41 (define @t454 () (@var "T_e" $$unsorted)) % 1.21/1.41 (define @t455 () (@var "V_g_H" $$unsorted)) % 1.21/1.41 (define @t456 () (@var "V_f_H" $$unsorted)) % 1.21/1.41 (define @t457 () (tptp.hAPP @t370 @t2)) % 1.21/1.41 (define @t458 () (tptp.c_lessequals @t59 @t60 @t1)) % 1.21/1.41 (define @t459 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 1.21/1.41 (define @t460 () (@list @t53 @t167 @t166 @t55)) % 1.21/1.41 (define @t461 () (@var "V_xc" $$unsorted)) % 1.21/1.41 (define @t462 () (@var "V_xb" $$unsorted)) % 1.21/1.41 (define @t463 () (@var "V_f1" $$unsorted)) % 1.21/1.41 (define @t464 () (@var "V_fun2" $$unsorted)) % 1.21/1.41 (define @t465 () (@var "V_fun1" $$unsorted)) % 1.21/1.41 (define @t466 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t463 @t465) @t306) @t464)) % 1.21/1.41 (define @t467 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t465 @t306 @t464 @t55)) % 1.21/1.41 (define @t468 () (@list @t463 @t465 @t306 @t464 @t55 @t1)) % 1.21/1.41 (define @t469 () (@var "V_ts_H" $$unsorted)) % 1.21/1.41 (define @t470 () (@var "V_ts" $$unsorted)) % 1.21/1.41 (define @t471 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t470 @t1)) % 1.21/1.41 (define @t472 () (@var "V_G_H" $$unsorted)) % 1.21/1.41 (define @t473 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t472 @t470 @t1))) % 1.21/1.41 (define @t474 () (@list @t205 @t470 @t1 @t472)) % 1.21/1.41 (define @t475 () (not @t471)) % 1.21/1.41 (define @t476 () (@list @t205 @t470 @t1)) % 1.21/1.41 (define @t477 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 1.21/1.41 (define @t478 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t477 tptp.tc_bool))) % 1.21/1.41 (define @t479 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 1.21/1.41 (define @t480 () (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t205 @t282 @t280 @t117)) % 1.21/1.41 (define @t481 () (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t205 @t282 @t280 @t117)) % 1.21/1.41 (define @t482 () (tptp.c_Set_Oinsert @t477)) % 1.21/1.41 (define @t483 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 @t117 @t280 tptp.t_a)) @t478) tptp.t_a)) % 1.21/1.41 (define @t484 () (@list @t205 @t282 @t117 @t280)) % 1.21/1.41 (define @t485 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 1.21/1.41 (define @t486 () (tptp.hAPP tptp.v_P tptp.v_R)) % 1.21/1.41 (define @t487 () (@var "V_pn" $$unsorted)) % 1.21/1.41 (define @t488 () (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 (tptp.c_Option_Othe (tptp.c_Com_Obody @t487) tptp.tc_Com_Ocom) @t280 @t1)) @t390)) % 1.21/1.41 (define @t489 () (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 (tptp.c_Com_Ocom_OBODY @t487) @t280 @t1))) % 1.21/1.41 (define @t490 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP @t489 @t390) @t1)) % 1.21/1.41 (define @t491 () (@list @t205 @t1 @t282 @t487 @t280)) % 1.21/1.41 (define @t492 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t293 @t1)) % 1.21/1.41 (define @t493 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t2 @t117 @t258 tptp.t_a)) @t478) tptp.t_a))) % 1.21/1.41 (define @t494 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t205 @t282 @t280 @t117)) % 1.21/1.41 (define @t495 () (@var "V_Z_H" $$unsorted)) % 1.21/1.41 (define @t496 () (tptp.hAPP @t2 @t495)) % 1.21/1.41 (define @t497 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t205 @t282 @t280 @t117 @t2 @t258)) % 1.21/1.41 (define @t498 () (tptp.hAPP @t258 @t495)) % 1.21/1.41 (define @t499 () (@list @t205 @t282 @t117 @t280 @t258 @t495 @t2)) % 1.21/1.41 (define @t500 () (@var "V_Q_H" $$unsorted)) % 1.21/1.41 (define @t501 () (@var "V_P_H" $$unsorted)) % 1.21/1.41 (define @t502 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t501 @t117 @t500 tptp.t_a)) @t478) tptp.t_a))) % 1.21/1.41 (define @t503 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t282 @t501 @t280 @t500)) % 1.21/1.41 (define @t504 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t282 @t501 @t280 @t500)) % 1.21/1.41 (define @t505 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t205 @t282 @t280 @t117)) % 1.21/1.41 (define @t506 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t205 @t282 @t280 @t117 @t2 @t258)) % 1.21/1.41 (define @t507 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t205 @t282 @t280 @t117)) % 1.21/1.41 (define @t508 () (@list @t205 @t282 @t117 @t280 @t2 @t258)) % 1.21/1.41 (define @t509 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t205 @t282 @t280 @t117)) % 1.21/1.41 (define @t510 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 @t117 @t500 tptp.t_a)) @t478) tptp.t_a))) % 1.21/1.41 (define @t511 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 @t280 @t500)) % 1.21/1.41 (define @t512 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 @t280 @t500)) % 1.21/1.41 (define @t513 () (@list @t205 @t282 @t117 @t280 @t500)) % 1.21/1.41 (define @t514 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t282 @t501 @t280 @t500)) % 1.21/1.41 (define @t515 () (@list @t205 @t282 @t117 @t280 @t501 @t500)) % 1.21/1.41 (define @t516 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t501 @t117 @t280 tptp.t_a)) @t478) tptp.t_a))) % 1.21/1.41 (define @t517 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t282 @t501)) % 1.21/1.41 (define @t518 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t282 @t501)) % 1.21/1.41 (define @t519 () (@list @t205 @t282 @t117 @t280 @t501)) % 1.21/1.41 (define @t520 () (tptp.hAPP @t392 @t450)) % 1.21/1.41 (define @t521 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP @t520 @t390) @t1)) % 1.21/1.41 (define @t522 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP @t520 @t470) @t1)) % 1.21/1.41 (define @t523 () (@list @t205 @t1 @t450 @t470)) % 1.21/1.41 (define @t524 () (not @t522)) % 1.21/1.41 (define @t525 () (@var "V_fun2_H" $$unsorted)) % 1.21/1.41 (define @t526 () (@var "V_fun1_H" $$unsorted)) % 1.21/1.41 (define @t527 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t465 @t306 @t464 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t526 @t302 @t525 @t1)))) % 1.21/1.41 (define @t528 () (@list @t465 @t306 @t464 @t1 @t526 @t302 @t525)) % 1.21/1.41 (define @t529 () (= @t37 @t116)) % 1.21/1.41 (define @t530 () (= @t37 @t117)) % 1.21/1.41 (define @t531 () (not (= @t411 (tptp.hAPP @t244 (tptp.hAPP (tptp.hAPP @t102 @t116) @t40))))) % 1.21/1.41 (define @t532 () (= @t38 @t116)) % 1.21/1.41 (define @t533 () (tptp.hAPP @t148 @t13)) % 1.21/1.41 (define @t534 () (tptp.hBOOL (tptp.hAPP @t533 @t2))) % 1.21/1.41 (define @t535 () (tptp.hAPP @t102 @t258)) % 1.21/1.41 (define @t536 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) @t478) tptp.t_a)) % 1.21/1.41 (define @t537 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q_H tptp.t_a)) @t478) tptp.t_a)) % 1.21/1.41 (define @t538 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_x) tptp.v_xa))) % 1.21/1.41 (define @t539 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H tptp.v_x) tptp.v_xa))) % 1.21/1.41 (define @t540 () (@var "V_xd" $$unsorted)) % 1.21/1.41 (define @t541 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t482 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t461 tptp.v_c @t540 tptp.t_a)) @t478) tptp.t_a))) % 1.21/1.41 (define @t542 () (tptp.v_xb @t461 @t540)) % 1.21/1.41 (define @t543 () (tptp.hAPP tptp.v_Q tptp.v_x)) % 1.21/1.41 (define @t544 () (@list @t461 @t540)) % 1.21/1.41 (define @t545 () (tptp.hAPP tptp.v_Q_H tptp.v_x)) % 1.21/1.41 (define @t546 () (forall (@list @t540 @t495 @t461) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t495) @t542)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t461 @t495) tptp.v_xa))) @t541))) % 1.21/1.41 (define @t547 () (@var "T_1" $$unsorted)) % 1.21/1.41 (define @t548 () (@var "T_2" $$unsorted)) % 1.21/1.41 (define @t549 () (tptp.tc_fun @t548 @t547)) % 1.21/1.41 (define @t550 () (@list @t548 @t547)) % 1.21/1.41 (define @t551 () (not (tptp.class_Lattices_Olattice @t547))) % 1.21/1.41 (define @t552 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t547))) % 1.21/1.41 (define @t553 () (@var "V_X" $$unsorted)) % 1.21/1.41 (define @t554 () (not @t537)) % 1.21/1.41 (define @t555 () (tptp.hBOOL (tptp.hAPP @t545 (tptp.v_xb tptp.v_P_H tptp.v_Q_H)))) % 1.21/1.41 (define @t556 () (not @t555)) % 1.21/1.41 (define @t557 () (or @t556 @t554)) % 1.21/1.41 (define @t558 () (@list false false)) % 1.21/1.41 (define @t559 () (not @t536)) % 1.21/1.41 (define @t560 () (tptp.hBOOL (tptp.hAPP @t543 (tptp.v_xb tptp.v_P tptp.v_Q)))) % 1.21/1.41 (define @t561 () (not @t560)) % 1.21/1.41 (define @t562 () (or @t561 @t559)) % 1.21/1.41 (define @t563 () (not @t538)) % 1.21/1.41 (define @t564 () (or @t560 @t563 @t559)) % 1.21/1.41 (define @t565 () (not @t539)) % 1.21/1.41 (define @t566 () (or @t555 @t565 @t554)) % 1.21/1.41 (define @t567 () (not @t566)) % 1.21/1.41 (assume @p1 (forall @t10 (or @t9 @t8 @t7 @t5))) % 1.21/1.41 (assume @p2 (forall @t18 (or @t17 @t16 @t15))) % 1.21/1.41 (assume @p3 (forall @t25 (or @t24 @t23 @t20))) % 1.21/1.41 (assume @p4 (forall @t25 (or @t24 @t26 @t15))) % 1.21/1.41 (assume @p5 (forall @t18 (or @t17 @t15 @t16))) % 1.21/1.41 (assume @p6 (forall @t32 (or @t31 @t30 @t29 @t28))) % 1.21/1.41 (assume @p7 (forall @t32 (or @t31 @t30 @t36 @t34))) % 1.21/1.41 (assume @p8 (forall @t43 (or @t9 @t42 @t39))) % 1.21/1.41 (assume @p9 (forall @t43 (or @t9 (not @t42) @t44))) % 1.21/1.41 (assume @p10 (forall @t50 (or @t9 @t49 @t47))) % 1.21/1.41 (assume @p11 (forall @t50 (or @t9 (not @t49) @t51))) % 1.21/1.41 (assume @p12 (forall (@list @t53 @t2 @t3 @t55 @t1 @t6) (or (= (tptp.hAPP @t56 @t6) @t54) @t52))) % 1.21/1.41 (assume @p13 (forall @t58 (or (= (tptp.hAPP @t57 @t6) @t54) @t52))) % 1.21/1.41 (assume @p14 (forall @t65 (or @t64 @t63 @t61 @t34))) % 1.21/1.41 (assume @p15 (forall @t65 (or @t64 @t63 @t33 (not @t61)))) % 1.21/1.41 (assume @p16 (forall @t69 (or (tptp.c_lessequals @t68 @t67 @t66) @t15))) % 1.21/1.41 (assume @p17 (forall @t71 (or (not (tptp.c_lessequals @t2 @t13 @t66)) (tptp.c_lessequals (tptp.c_Set_Oimage @t53 @t2 @t55 @t1) @t70 @t11)))) % 1.21/1.41 (assume @p18 (forall (@list @t13 @t55 @t53 @t1) (or (tptp.c_Finite__Set_Ofinite @t13 @t55) (not (tptp.c_Fun_Oinj__on @t53 @t13 @t55 @t1)) (not (tptp.c_Finite__Set_Ofinite @t70 @t1))))) % 1.21/1.41 (assume @p19 (forall @t76 (or @t9 @t75 @t74 @t73))) % 1.21/1.41 (assume @p20 (forall @t76 (or @t9 @t75 @t73 @t74))) % 1.21/1.41 (assume @p21 (forall @t78 (or @t19 @t77 @t15))) % 1.21/1.41 (assume @p22 (forall @t80 (or @t9 @t79 @t33 @t28))) % 1.21/1.41 (assume @p23 (forall @t80 (or @t9 @t33 @t79 @t28))) % 1.21/1.41 (assume @p24 (forall @t78 (or @t77 @t19 @t15))) % 1.21/1.41 (assume @p25 (forall @t43 (or @t9 @t39 @t74 @t82))) % 1.21/1.41 (assume @p26 (forall @t43 (or @t9 @t39 @t82 @t74))) % 1.21/1.41 (assume @p27 (forall @t80 (or @t83 @t79 @t28 @t33))) % 1.21/1.41 (assume @p28 (forall @t80 (or @t83 @t79 @t33 @t28))) % 1.21/1.41 (assume @p29 (forall (@list @t53 @t55 @t13 @t12 @t1) (= (tptp.c_Set_Oimage @t53 @t87 @t55 @t1) (tptp.hAPP (tptp.hAPP @t85 @t70) @t84)))) % 1.21/1.41 (assume @p30 (forall @t43 (or @t9 @t44 @t88))) % 1.21/1.41 (assume @p31 (forall @t80 (or @t83 @t34 @t90))) % 1.21/1.41 (assume @p32 (forall @t91 (or @t31 @t90 @t34))) % 1.21/1.41 (assume @p33 (forall @t76 (or @t31 @t88 @t44))) % 1.21/1.41 (assume @p34 (forall (@list @t55 @t53 @t13 @t12 @t1) (or @t97 (= (tptp.c_Finite__Set_Osetsum @t53 @t96 @t1 @t55) (tptp.c_HOL_Ominus__class_Ominus @t95 @t94 @t55)) @t93 @t92))) % 1.21/1.41 (assume @p35 (forall @t50 (or @t9 @t98 (not (tptp.c_lessequals @t45 @t46 @t1))))) % 1.21/1.41 (assume @p36 (forall @t43 (or @t9 @t42 @t73))) % 1.21/1.41 (assume @p37 (forall (@list @t53 @t6 @t1 @t2 @t13 @t3 @t55) (or (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t104 @t101 @t1 @t55) (not (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t13 @t3 @t1 @t55)) @t99))) % 1.21/1.41 (assume @p38 (forall (@list @t55 @t53 @t2 @t13 @t1) (or (= (tptp.hAPP (tptp.hAPP @t106 @t100) @t68) @t68) @t105))) % 1.21/1.41 (assume @p39 (forall @t112 (or @t19 @t111 @t109))) % 1.21/1.41 (assume @p40 (forall @t113 (or @t108 @t111 @t20))) % 1.21/1.41 (assume @p41 (forall (@list @t53 @t2 @t12 @t1 @t13 @t55) (or (tptp.hBOOL (tptp.c_in @t100 @t12 @t1)) @t115 (not (tptp.c_lessequals @t70 @t12 @t11))))) % 1.21/1.41 (assume @p42 (forall @t120 (or @t83 @t119 @t72 @t118))) % 1.21/1.41 (assume @p43 (forall @t122 (or @t83 @t121 @t72 @t118))) % 1.21/1.41 (assume @p44 (forall @t120 (or @t9 @t119 @t82 @t126))) % 1.21/1.41 (assume @p45 (forall @t122 (or @t9 @t121 @t82 @t126))) % 1.21/1.41 (assume @p46 (forall (@list @t1 @t117 @t116 @t38 @t37) (or @t9 @t127 @t126))) % 1.21/1.41 (assume @p47 (forall @t129 (or @t9 @t125 @t128 @t81))) % 1.21/1.41 (assume @p48 (forall @t136 (or @t83 (= (tptp.hAPP (tptp.hAPP @t85 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t45 @t130 @t1)) @t135) @t134) @t133 @t131))) % 1.21/1.41 (assume @p49 (forall @t136 (or @t83 (= (tptp.hAPP @t138 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t130 @t132 @t1)) @t137) @t133 @t131))) % 1.21/1.41 (assume @p50 (forall (@list @t12 @t2 @t55 @t13 @t1) (or (tptp.c_Finite__Set_Ofinite @t140 @t55) @t105 (not (tptp.c_Finite__Set_Ofinite @t139 @t55)) @t92))) % 1.21/1.41 (assume @p51 (forall @t146 (or @t97 (= @t145 @t95) @t141 @t92))) % 1.21/1.41 (assume @p52 (forall @t150 (or (= @t149 (tptp.hAPP @t148 (tptp.c_Set_Oimage @t53 (tptp.c_HOL_Ominus__class_Ominus @t13 (tptp.hAPP (tptp.hAPP @t106 @t2) @t147) @t66) @t55 @t1))) @t115))) % 1.21/1.41 (assume @p53 (forall (@list @t1 @t152 @t130 @t151) (or @t83 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t152 @t130 @t1) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t152 @t151 @t1) @t11) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t151 @t130 @t1)) (not (tptp.c_lessequals @t152 @t151 @t1))))) % 1.21/1.41 (assume @p54 (forall @t43 (or @t9 @t153 @t88))) % 1.21/1.41 (assume @p55 (forall (@list @t117 @t1 @t55) (= (tptp.c_Set_Oimage @t154 @t147 @t55 @t1) @t40))) % 1.21/1.41 (assume @p56 (forall (@list @t13 @t12 @t1 @t38) (or @t158 (not @t157)))) % 1.21/1.41 (assume @p57 (forall @t160 (or @t157 @t159))) % 1.21/1.41 (assume @p58 (forall (@list @t53 @t13 @t55 @t1 @t12) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t70 @t84 @t11) (tptp.c_Set_Oimage @t53 (tptp.c_HOL_Ominus__class_Ominus @t13 @t12 @t66) @t55 @t1) @t11))) % 1.21/1.41 (assume @p59 (forall @t69 (or (not (= @t68 @t67)) @t163 @t77))) % 1.21/1.41 (assume @p60 (forall (@list @t167 @t53 @t55 @t166 @t1 @t13) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t167 @t53 @t55 @t166 @t1) @t13 @t1 @t166) (not (tptp.c_Fun_Oinj__on @t167 @t68 @t55 @t166)) @t165))) % 1.21/1.41 (assume @p61 (forall (@list @t167 @t53 @t13 @t1 @t166 @t55) (or (tptp.c_Fun_Oinj__on @t167 (tptp.c_Set_Oimage @t53 @t13 @t1 @t166) @t166 @t55) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t167 @t53 @t166 @t55 @t1) @t13 @t1 @t55))))) % 1.21/1.41 (assume @p62 (forall @t173 (or (= @t172 @t170) @t169))) % 1.21/1.41 (assume @p63 (forall @t176 (= (tptp.c_Map_Orestrict__map @t53 @t175 @t1 @t55) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Orestrict__map @t53 @t13 @t1 @t55) @t38 @t174 @t1 @t171)))) % 1.21/1.41 (assume @p64 (forall @t10 (or @t9 @t8 @t177 @t90))) % 1.21/1.41 (assume @p65 (forall (@list @t53 @t167 @t166 @t1 @t55 @t178) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t53 @t167 @t166 @t1 @t55) @t178 @t55 @t1) (tptp.c_Set_Oimage @t53 (tptp.c_Set_Oimage @t167 @t178 @t55 @t166) @t166 @t1)))) % 1.21/1.41 (assume @p66 (forall (@list @t53 @t167 @t13 @t166 @t55 @t1) (= (tptp.c_Set_Oimage @t53 (tptp.c_Set_Oimage @t167 @t13 @t166 @t55) @t55 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t53 @t167 @t55 @t1 @t166) @t13 @t166 @t1)))) % 1.21/1.41 (assume @p67 (forall (@list @t53 @t38 @t37 @t55) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t53 @t38 @t37 tptp.t_a @t55) tptp.v_x) (tptp.c_HOL_OIf (tptp.hAPP (tptp.hAPP (tptp.c_fequal tptp.t_a) tptp.v_x) @t38) @t37 @t179 @t55)))) % 1.21/1.41 (assume @p68 (forall @t150 (or (= @t149 @t70) @t114))) % 1.21/1.41 (assume @p69 (forall (@list @t53 @t2 @t3 @t1 @t55 @t13) (or (tptp.c_Fun_Oinj__on @t57 @t13 @t1 @t55) (tptp.hBOOL (tptp.c_in @t3 @t68 @t55)) @t165))) % 1.21/1.41 (assume @p70 (forall (@list @t53 @t2 @t180 @t1) (= (tptp.c_Fun_Ofun__upd @t53 @t2 @t100 @t180 @t1) @t53))) % 1.21/1.41 (assume @p71 (forall (@list @t53 @t2 @t3 @t1 @t180) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t53 @t2 @t3 @t1 @t180) @t2) @t3))) % 1.21/1.41 (assume @p72 (forall (@list @t53 @t2 @t1 @t55) (= (tptp.c_Fun_Ofun__upd @t53 @t2 @t100 @t1 @t55) @t53))) % 1.21/1.41 (assume @p73 (forall (@list @t53 @t2 @t3 @t55 @t1) (= (tptp.hAPP @t56 @t2) @t3))) % 1.21/1.41 (assume @p74 (forall @t181 (= (tptp.c_Fun_Ofun__upd @t53 @t2 @t100 @t55 @t1) @t53))) % 1.21/1.41 (assume @p75 (forall (@list @t185 @t182 @t1 @t55) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t185 @t182 @t1 @t55) @t55) @t184))) % 1.21/1.41 (assume @p76 (forall @t80 (or @t31 @t27 @t34))) % 1.21/1.41 (assume @p77 (forall @t80 (or @t9 @t27 @t34))) % 1.21/1.41 (assume @p78 (forall @t191 (or @t190 @t189 @t188))) % 1.21/1.41 (assume @p79 (forall @t78 (or @t14 @t20))) % 1.21/1.41 (assume @p80 (forall @t80 (or @t83 @t79 @t33 @t89))) % 1.21/1.41 (assume @p81 (forall @t91 (or @t83 @t89 @t79 @t33))) % 1.21/1.41 (assume @p82 (forall @t91 (or @t83 @t89 @t33 @t79))) % 1.21/1.41 (assume @p83 (forall @t80 (or @t83 @t79 @t89 @t33))) % 1.21/1.41 (assume @p84 (forall @t91 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t89 @t33 @t79))) % 1.21/1.41 (assume @p85 (forall @t129 (or @t9 @t125 @t128 (not @t194) @t193 @t192))) % 1.21/1.41 (assume @p86 (forall @t129 (or @t9 @t125 @t128 (not @t195) @t193 @t192))) % 1.21/1.41 (assume @p87 (forall @t198 (or @t31 @t197))) % 1.21/1.41 (assume @p88 (forall @t198 (or @t83 @t197))) % 1.21/1.41 (assume @p89 (forall @t198 (or @t9 @t197))) % 1.21/1.41 (assume @p90 (forall @t191 (or @t190 @t187 @t200 @t199))) % 1.21/1.41 (assume @p91 (forall @t201 (not (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t11)))) % 1.21/1.41 (assume @p92 (forall @t80 (or @t31 @t33 @t4 @t28))) % 1.21/1.41 (assume @p93 (forall @t58 (= (tptp.c_Fun_Ofun__upd @t57 @t2 @t6 @t1 @t55) (tptp.c_Fun_Ofun__upd @t53 @t2 @t6 @t1 @t55)))) % 1.21/1.41 (assume @p94 (forall (@list @t55 @t53 @t12 @t1) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t55)) (= @t94 (tptp.c_Finite__Set_Osetsum @t204 @t67 @t55 @t55)) @t203))) % 1.21/1.41 (assume @p95 (forall (@list @t205 @t1 @t182) (or @t208 @t207))) % 1.21/1.41 (assume @p96 (forall (@list @t182 @t1 @t205) (or @t183 @t207))) % 1.21/1.41 (assume @p97 (forall @t211 (or (= @t209 @t13) (not @t210) (not (tptp.c_lessequals @t209 @t13 @t11)) @t92))) % 1.21/1.41 (assume @p98 (forall (@list @t130 @t38 @t37 @t1 @t55 @t117 @t116) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t130 @t38 @t37 @t1 @t55) @t117 @t116 @t1 @t55) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t130 @t117 @t116 @t1 @t55) @t38 @t37 @t1 @t55)) @t212))) % 1.21/1.41 (assume @p99 (forall (@list @t1 @t182 @t205) (or @t206 (not @t208) @t184))) % 1.21/1.41 (assume @p100 (forall @t78 (or @t158 @t92 @t16))) % 1.21/1.41 (assume @p101 (forall @t18 (or @t17 @t159 @t16))) % 1.21/1.41 (assume @p102 (forall @t78 (or @t158 @t92))) % 1.21/1.41 (assume @p103 (forall @t50 (or @t9 (not @t98) @t51))) % 1.21/1.41 (assume @p104 (forall @t50 (or @t9 @t98 @t47))) % 1.21/1.41 (assume @p105 (forall @t215 (= (tptp.c_Set_Oimage @t214 @t213 @t1 @t1) @t213))) % 1.21/1.41 (assume @p106 (forall (@list @t12 @t55 @t53 @t13 @t1) (or (tptp.c_Finite__Set_Ofinite @t12 @t55) (not (tptp.c_lessequals @t12 @t68 @t66)) @t92))) % 1.21/1.41 (assume @p107 (forall (@list @t13 @t1 @t53 @t6 @t2 @t55) (or @t17 (not (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t13 @t2 @t1 @t55))))) % 1.21/1.41 (assume @p108 (forall @t32 (or @t31 @t30 @t29 @t34))) % 1.21/1.41 (assume @p109 (forall @t25 (or @t24 @t26 @t20))) % 1.21/1.41 (assume @p110 (forall @t219 (or @t218 @t217 @t20))) % 1.21/1.41 (assume @p111 (forall @t10 (or @t9 @t8 @t7 @t90))) % 1.21/1.41 (assume @p112 (forall @t80 (or @t83 @t33 @t4))) % 1.21/1.41 (assume @p113 (forall @t198 (or @t83 (not @t220) @t197))) % 1.21/1.41 (assume @p114 (forall @t198 (or @t83 @t196 @t220))) % 1.21/1.41 (assume @p115 (forall @t80 (or @t83 @t34 @t5))) % 1.21/1.41 (assume @p116 (forall @t91 (or @t83 @t4 @t33))) % 1.21/1.41 (assume @p117 (forall @t80 (or @t83 @t28 @t90))) % 1.21/1.41 (assume @p118 (forall @t91 (or @t83 @t89 @t27))) % 1.21/1.41 (assume @p119 (forall (@list @t55 @t167 @t53 @t1) (or @t190 (not @t200) @t188))) % 1.21/1.41 (assume @p120 (forall @t91 (or @t31 @t5 @t34))) % 1.21/1.41 (assume @p121 (forall (@list @t53 @t167 @t2 @t3 @t1 @t166 @t55) (= (tptp.c_Fun_Ocomp @t53 (tptp.c_Fun_Ofun__upd @t167 @t2 @t3 @t1 @t166) @t166 @t55 @t1) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ocomp @t53 @t167 @t166 @t55 @t1) @t2 @t221 @t1 @t55)))) % 1.21/1.42 (assume @p122 (forall @t215 (= (tptp.c_Set_Oimage @t222 @t213 @t1 @t1) @t213))) % 1.21/1.42 (assume @p123 (forall @t43 (or @t9 (not @t223) @t44))) % 1.21/1.42 (assume @p124 (forall @t43 (or @t9 @t223 @t39))) % 1.21/1.42 (assume @p125 (forall (@list @t1 @t37 @t116 @t117 @t38) (or @t9 @t195 @t194 @t82 @t126))) % 1.21/1.42 (assume @p126 (forall @t224 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t17))) % 1.21/1.42 (assume @p127 (forall (@list @t53 @t2 @t3 @t1 @t55) (or (not (= @t57 @t53)) (= @t100 @t3)))) % 1.21/1.42 (assume @p128 (forall (@list @t166 @t185 @t53 @t12 @t1 @t55) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t166)) (= (tptp.c_Finite__Set_Osetsum @t185 @t67 @t55 @t166) (tptp.c_Finite__Set_Osetsum (tptp.c_Fun_Ocomp @t185 @t53 @t55 @t166 @t1) @t12 @t1 @t166)) @t203))) % 1.21/1.42 (assume @p129 (forall @t211 (or @t210 (not (tptp.c_lessequals @t13 @t209 @t11)) @t92))) % 1.21/1.42 (assume @p130 (forall (@list @t2 @t13 @t180 @t53 @t1) (or (not (tptp.hBOOL (tptp.c_in @t2 @t13 @t180))) (tptp.hBOOL (tptp.c_in @t100 (tptp.c_Set_Oimage @t53 @t13 @t180 @t1) @t1))))) % 1.21/1.42 (assume @p131 (forall @t71 (or @t115 @t225))) % 1.21/1.42 (assume @p132 (forall (@list @t53 @t2 @t13 @t55 @t1) (or @t225 @t115))) % 1.21/1.42 (assume @p133 (forall (@list @t53 @t2 @t13 @t1 @t55) (or (tptp.hBOOL (tptp.c_in @t100 @t68 @t55)) @t105))) % 1.21/1.42 (assume @p134 (forall @t231 (or @t230 @t229 (not (tptp.c_HOL_Oord__class_Oless @t2 @t38 @t1))))) % 1.21/1.42 (assume @p135 (forall @t231 (or @t230 @t229 (not (tptp.c_HOL_Oord__class_Oless @t2 @t37 @t1))))) % 1.21/1.42 (assume @p136 (forall (@list @t53 @t13 @t55 @t1) (or (not (= @t70 @t40)) @t232))) % 1.21/1.42 (assume @p137 (forall @t233 (not (tptp.c_HOL_Oord__class_Oless @t13 @t40 @t11)))) % 1.21/1.42 (assume @p138 (forall @t234 (tptp.c_Finite__Set_Ofinite @t40 @t1))) % 1.21/1.42 (assume @p139 (forall (@list @t2 @t6 @t53 @t1 @t55) (or (= @t2 @t6) (not (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t40 @t2 @t1 @t55))))) % 1.21/1.42 (assume @p140 (forall (@list @t1 @t53 @t13 @t55) (or (not (= @t40 @t70)) @t232))) % 1.21/1.42 (assume @p141 (forall @t236 (= @t235 @t40))) % 1.21/1.42 (assume @p142 (forall @t237 (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t40 @t6 @t1 @t55))) % 1.21/1.42 (assume @p143 (forall @t237 (tptp.c_Nitpick_Ofold__graph_H @t53 @t6 @t40 @t6 @t1 @t55))) % 1.21/1.42 (assume @p144 (forall (@list @t1 @t53 @t55) (= @t40 @t235))) % 1.21/1.42 (assume @p145 (forall (@list @t53 @t55 @t38 @t12 @t1) (= (tptp.c_Set_Oimage @t53 (tptp.hAPP @t238 @t12) @t55 @t1) (tptp.hAPP (tptp.hAPP @t102 @t174) @t84)))) % 1.21/1.42 (assume @p146 (forall @t240 (or @t239 @t92))) % 1.21/1.42 (assume @p147 (forall (@list @t13 @t1 @t38) (or @t17 (not @t239)))) % 1.21/1.42 (assume @p148 (forall @t146 (or (not (tptp.class_Ring__and__Field_Oring @t55)) @t242 @t241 @t92))) % 1.21/1.42 (assume @p149 (forall @t146 (or @t97 @t242 @t241 @t92))) % 1.21/1.42 (assume @p150 (forall @t113 (or @t108 @t15 @t99 @t20))) % 1.21/1.42 (assume @p151 (forall @t113 (or @t108 @t15 @t99 @t110))) % 1.21/1.42 (assume @p152 (forall @t112 (or @t14 @t99 @t110 @t109))) % 1.21/1.42 (assume @p153 (forall @t136 (or @t83 (= (tptp.hAPP @t138 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t130 @t132 @t1)) @t243) @t133 @t131))) % 1.21/1.42 (assume @p154 (forall @t136 (or @t83 (= (tptp.hAPP (tptp.hAPP @t85 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t45 @t130 @t1)) @t135) @t243) @t133 @t131))) % 1.21/1.42 (assume @p155 (forall (@list @t117 @t1 @t55 @t13) (or (= (tptp.c_Set_Oimage @t154 @t13 @t55 @t1) (tptp.hAPP @t244 @t40)) @t232))) % 1.21/1.42 (assume @p156 (forall (@list @t53 @t13 @t12 @t1 @t55 @t21) (or (= (tptp.c_Set_Oimage @t53 @t96 @t1 @t55) (tptp.c_HOL_Ominus__class_Ominus @t68 @t67 @t66)) @t23 @t246 (not (tptp.c_Fun_Oinj__on @t53 @t21 @t1 @t55))))) % 1.21/1.42 (assume @p157 (forall @t248 (or @t83 (tptp.c_lessequals @t2 @t247 @t1) @t105 @t92))) % 1.21/1.42 (assume @p158 (forall @t250 (or @t83 (tptp.c_lessequals @t249 @t2 @t1) @t105 @t92))) % 1.21/1.42 (assume @p159 (forall @t224 (or @t83 (tptp.hBOOL (tptp.c_in @t249 @t13 @t1)) @t251 @t92))) % 1.21/1.42 (assume @p160 (forall @t224 (or @t83 (tptp.hBOOL (tptp.c_in @t247 @t13 @t1)) @t251 @t92))) % 1.21/1.42 (assume @p161 (forall (@list @t53 @t1 @t38 @t13 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t53 @t175 @t1) @t2)) @t141 (not (tptp.c_Finite__Set_Ofold__graph @t53 @t38 @t13 @t2 @t1 @t1))))) % 1.21/1.42 (assume @p162 (forall @t254 (or (= @t253 @t170) @t169))) % 1.21/1.42 (assume @p163 (forall @t257 (or @t256 @t165 @t79 @t255 @t105))) % 1.21/1.42 (assume @p164 (forall (@list @t53 @t2 @t258 @t13 @t1 @t55) (or (not (= @t100 (tptp.hAPP @t53 @t258))) (not (tptp.hBOOL (tptp.c_in @t258 @t13 @t1))) @t105 @t165 (= @t2 @t258)))) % 1.21/1.42 (assume @p165 (forall @t257 (or @t256 @t255 @t105 @t165 @t79))) % 1.21/1.42 (assume @p166 (forall @t257 (or @t256 @t255 @t105 @t79 @t165))) % 1.21/1.42 (assume @p167 (forall @t266 (or @t265 @t264))) % 1.21/1.42 (assume @p168 (forall @t266 (or @t265 @t267))) % 1.21/1.42 (assume @p169 (forall @t266 (or @t230 @t267))) % 1.21/1.42 (assume @p170 (forall @t266 (or @t230 @t264))) % 1.21/1.42 (assume @p171 (forall @t271 (= (tptp.hAPP (tptp.hAPP @t85 @t162) @t21) @t270))) % 1.21/1.42 (assume @p172 (forall @t271 (= @t270 (tptp.hAPP @t268 (tptp.hAPP @t161 @t21))))) % 1.21/1.42 (assume @p173 (forall (@list @t1 @t2 @t60 @t59) (or @t273 (not (= @t272 @t62)) (= @t60 @t59)))) % 1.21/1.42 (assume @p174 (forall (@list @t1 @t258 @t3 @t2) (or @t273 (not (= (tptp.c_HOL_Ominus__class_Ominus @t258 @t3 @t1) @t272)) (= @t258 @t3)))) % 1.21/1.42 (assume @p175 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t96 @t12 @t11) @t96))) % 1.21/1.42 (assume @p176 (forall (@list @t277 @t276 @t274) (not (= @t278 @t275)))) % 1.21/1.42 (assume @p177 (forall (@list @t282 @t280 @t279 @t55 @t166 @t1) (= (tptp.c_COMBS @t282 @t280 @t279 @t55 @t166 @t1) (tptp.hAPP @t283 @t281)))) % 1.21/1.42 (assume @p178 (forall (@list @t282 @t1 @t55 @t280) (= (tptp.hAPP (tptp.c_COMBK @t282 @t1 @t55) @t280) @t282))) % 1.21/1.42 (assume @p179 (forall (@list @t1 @t282) (= (tptp.hAPP @t214 @t282) @t282))) % 1.21/1.42 (assume @p180 (forall (@list @t282 @t55 @t166 @t1 @t280 @t279) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t282 @t55 @t166 @t1) @t280) @t279) (tptp.hAPP @t283 @t280)))) % 1.21/1.42 (assume @p181 (forall (@list @t282 @t280 @t55 @t1 @t166 @t279) (= (tptp.hAPP (tptp.c_COMBB @t282 @t280 @t55 @t1 @t166) @t279) (tptp.hAPP @t282 @t281)))) % 1.21/1.42 (assume @p182 (forall (@list @t284 @t2 @t1) (or @t286 (not @t285)))) % 1.21/1.42 (assume @p183 (forall (@list @t2 @t284 @t1) (or @t285 (not @t286)))) % 1.21/1.42 (assume @p184 (forall (@list @t13 @t55 @t12 @t1) (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t287 @t11) @t13))) % 1.21/1.42 (assume @p185 (forall @t224 (tptp.c_Fun_Oinj__on @t222 @t13 @t1 @t1))) % 1.21/1.42 (assume @p186 (forall @t198 (or @t230 (= (tptp.hAPP @t261 @t2) @t2)))) % 1.21/1.42 (assume @p187 (forall @t224 (= (tptp.hAPP @t161 @t13) @t13))) % 1.21/1.42 (assume @p188 (forall (@list @t55 @t167 @t1) (= (tptp.c_Fun_Ocomp @t204 @t167 @t55 @t55 @t1) @t167))) % 1.21/1.42 (assume @p189 (forall @t288 (= (tptp.c_Fun_Ocomp @t53 @t222 @t1 @t55 @t1) @t53))) % 1.21/1.42 (assume @p190 (forall (@list @t55 @t53 @t167) (or (not (tptp.class_Lattices_Olattice @t55)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t290) @t53) @t167) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55) @t179) @t289))))) % 1.21/1.42 (assume @p191 (forall (@list @t274 @t277 @t276) (not (= @t275 @t278)))) % 1.21/1.42 (assume @p192 (forall @t113 (or @t295 @t105 @t292))) % 1.21/1.42 (assume @p193 (forall @t113 (or @t291 @t105 @t296))) % 1.21/1.42 (assume @p194 (forall @t211 (= (tptp.c_Finite__Set_Ofold1 @t53 @t13 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t53 @t13 @t1) @t1)))) % 1.21/1.42 (assume @p195 (forall (@list @t55 @t297 @t152 @t13 @t1) (or @t298 (tptp.c_lessequals (tptp.hAPP @t297 @t152) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t297 @t1 @t55) @t55) (not (tptp.hBOOL (tptp.c_in @t152 @t13 @t1)))))) % 1.21/1.42 (assume @p196 (forall (@list @t12 @t38 @t13 @t1 @t55) (or (tptp.c_lessequals @t299 @t139 @t66) @t241))) % 1.21/1.42 (assume @p197 (forall @t301 (or (= @t300 @t96) @t111))) % 1.21/1.42 (assume @p198 (forall @t305 (not (= @t304 tptp.c_Com_Ocom_OSKIP)))) % 1.21/1.42 (assume @p199 (forall (@list @t274 @t307 @t306) (not (= @t275 @t308)))) % 1.21/1.42 (assume @p200 (forall (@list @t53 @t13 @t12 @t1 @t55) (or (tptp.c_Fun_Oinj__on @t53 @t96 @t1 @t55) @t165))) % 1.21/1.42 (assume @p201 (forall (@list @t282 @t1) (= @t309 @t282))) % 1.21/1.42 (assume @p202 (forall @t234 (or @t230 (tptp.c_Finite__Set_Ofun__left__comm__idem @t226 @t1 @t1)))) % 1.21/1.42 (assume @p203 (forall @t315 (or @t314 @t311))) % 1.21/1.42 (assume @p204 (forall @t315 (or @t314 @t316))) % 1.21/1.42 (assume @p205 (forall (@list @t277 @t276 @t303 @t302) (not (= @t278 @t304)))) % 1.21/1.42 (assume @p206 (forall @t254 (or (= @t253 @t318) @t317))) % 1.21/1.42 (assume @p207 (forall @t321 (or @t320 @t317))) % 1.21/1.42 (assume @p208 (forall @t173 (or (= @t172 @t319) @t317))) % 1.21/1.42 (assume @p209 (forall (@list @t53 @t38 @t13 @t1 @t55) (or (not @t324) @t323))) % 1.21/1.42 (assume @p210 (forall @t176 (or @t322 @t324 @t165))) % 1.21/1.42 (assume @p211 (forall @t113 (or @t108 @t15 @t326 @t110))) % 1.21/1.42 (assume @p212 (forall @t328 (or @t83 (= (tptp.hAPP (tptp.hAPP @t85 (tptp.hAPP (tptp.hAPP @t102 @t45) @t40)) @t134) @t243) @t327))) % 1.21/1.42 (assume @p213 (forall @t328 (or @t83 (= (tptp.hAPP (tptp.hAPP @t85 @t137) (tptp.hAPP (tptp.hAPP @t102 @t132) @t40)) @t243) @t327))) % 1.21/1.42 (assume @p214 (forall (@list @t130 @t13 @t55) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t130 @t13 tptp.t_a @t55) tptp.v_x) (tptp.c_HOL_OIf (tptp.c_in tptp.v_x @t13 tptp.t_a) (tptp.hAPP @t130 tptp.v_x) @t252 @t171)))) % 1.21/1.42 (assume @p215 (forall @t321 @t320)) % 1.21/1.42 (assume @p216 (forall (@list @t1 @t297 @t329) (or @t83 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t297 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t329 @t1) @t1) @t332 @t331 @t330))) % 1.21/1.42 (assume @p217 (forall (@list @t1 @t329 @t297) (or @t83 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t329 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t297 @t1) @t1) @t332 @t331 @t330))) % 1.21/1.42 (assume @p218 (forall @t113 (or @t108 @t15 @t326 @t20))) % 1.21/1.42 (assume @p219 (forall (@list @t117 @t55 @t1 @t13 @t2) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t117 @t55 @t1) @t13 @t1 @t55) (tptp.hAPP (tptp.hAPP @t106 @t117) @t147)) @t105))) % 1.21/1.42 (assume @p220 (forall @t333 (or (tptp.c_Nitpick_Ofold__graph_H @t53 @t6 @t13 @t101 @t1 @t55) (not (tptp.c_Nitpick_Ofold__graph_H @t53 @t6 @t294 @t3 @t1 @t55)) @t105))) % 1.21/1.42 (assume @p221 (forall @t113 (or @t325 @t105 @t110 @t109))) % 1.21/1.42 (assume @p222 (forall @t113 (or @t108 @t105 @t326 @t110))) % 1.21/1.42 (assume @p223 (forall @t113 (or @t108 @t105 @t326 @t20))) % 1.21/1.42 (assume @p224 (forall (@list @t53 @t13 @t1 @t38) (or (= (tptp.c_Finite__Set_Osetsum @t53 @t144 @t1 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t53 @t13 @t1 tptp.tc_nat)) @t141))) % 1.21/1.42 (assume @p225 (forall @t333 (or (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t13 @t101 @t1 @t55) @t105 (not (tptp.c_Finite__Set_Ofold__graph @t53 @t6 @t294 @t3 @t1 @t55))))) % 1.21/1.42 (assume @p226 (forall @t271 (or @t334 @t23 @t246))) % 1.21/1.42 (assume @p227 (forall (@list @t12 @t1 @t13) (tptp.c_lessequals @t12 @t162 @t11))) % 1.21/1.42 (assume @p228 (forall @t18 (tptp.c_lessequals @t13 @t162 @t11))) % 1.21/1.42 (assume @p229 (forall (@list @t1 @t38 @t37 @t2) (or @t230 @t337 (not @t336) (not @t335)))) % 1.21/1.42 (assume @p230 (forall @t80 (or @t230 @t338))) % 1.21/1.42 (assume @p231 (forall @t91 (or @t230 @t339))) % 1.21/1.42 (assume @p232 (forall @t341 (or @t230 (tptp.c_lessequals @t260 @t2 @t1) (not @t340) @t5))) % 1.21/1.42 (assume @p233 (forall @t266 (or @t230 @t343 @t36 (not @t342)))) % 1.21/1.42 (assume @p234 (forall @t91 (or @t265 @t339))) % 1.21/1.42 (assume @p235 (forall @t80 (or @t265 @t338))) % 1.21/1.42 (assume @p236 (forall (@list @t350 @t351 @t349 @t1 @t348 @t346 @t347 @t344 @t345) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t350 @t351 (tptp.c_COMBC @t349 @t1 @t1 tptp.tc_bool) (tptp.c_COMBC @t348 @t1 @t1 tptp.tc_bool) @t346 @t347 @t344 @t345 @t1) @t352))) % 1.21/1.42 (assume @p237 (forall @t355 (or (= @t354 @t12) @t15))) % 1.21/1.42 (assume @p238 (forall @t357 (not (= tptp.c_Com_Ocom_OSKIP @t356)))) % 1.21/1.42 (assume @p239 (forall @t78 (tptp.c_lessequals @t96 @t13 @t11))) % 1.21/1.42 (assume @p240 (forall (@list @t38 @t282 @t1) (or @t359 (not @t358)))) % 1.21/1.42 (assume @p241 (forall (@list @t282 @t38 @t1) (or @t358 (not @t359)))) % 1.21/1.42 (assume @p242 (forall (@list @t117 @t13 @t12 @t1) (or @t360 @t218 @t217))) % 1.21/1.42 (assume @p243 (forall @t363 (or @t110 @t362))) % 1.21/1.42 (assume @p244 (forall (@list @t13 @t117 @t1 @t55) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t364 @t55 @t11) @t117) @t232))) % 1.21/1.42 (assume @p245 (forall (@list @t55 @t13 @t297 @t1) (or @t298 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 (tptp.c_COMBK @t297 @t55 @t1) @t1 @t55) @t297) @t251))) % 1.21/1.42 (assume @p246 (forall @t113 (or @t291 @t15 @t99))) % 1.21/1.42 (assume @p247 (forall @t112 (or @t14 @t99 @t292))) % 1.21/1.42 (assume @p248 (forall @t112 (or @t14 @t292 @t99))) % 1.21/1.42 (assume @p249 (forall (@list @t37 @t13 @t12 @t55 @t1 @t2) (or (tptp.hBOOL (tptp.c_in @t37 @t365 @t1)) (not (tptp.hBOOL (tptp.c_in @t37 @t140 @t1))) @t115))) % 1.21/1.42 (assume @p250 (forall (@list @t37 @t13 @t12 @t1 @t55 @t38) (or (tptp.hBOOL (tptp.c_in @t37 @t139 @t55)) (not (tptp.hBOOL (tptp.c_in @t37 @t299 @t55))) @t241))) % 1.21/1.42 (assume @p251 (forall (@list @t38 @t37 @t166 @t55 @t1 @t117 @t366) (or (not (= @t368 (tptp.c_Fun_Ocomp @t204 @t117 @t55 @t55 @t1))) (= @t367 (tptp.hAPP @t117 @t366))))) % 1.21/1.42 (assume @p252 (forall (@list @t1 @t12 @t13) (= (tptp.hAPP (tptp.hAPP @t85 @t353) @t13) @t369))) % 1.21/1.42 (assume @p253 (forall @t355 (= @t354 @t162))) % 1.21/1.42 (assume @p254 (forall (@list @t55 @t117 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t147 @t364 @t55 @t11) @t40))) % 1.21/1.42 (assume @p255 (forall (@list @t55 @t13 @t12) (or (not (tptp.class_HOL_Ominus @t55)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t13 @t12 @t290) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t13 tptp.v_x) (tptp.hAPP @t12 tptp.v_x) @t55))))) % 1.21/1.42 (assume @p256 (forall @t271 (= (tptp.c_HOL_Ominus__class_Ominus @t162 @t21 @t11) (tptp.hAPP (tptp.hAPP @t85 (tptp.c_HOL_Ominus__class_Ominus @t13 @t21 @t11)) (tptp.c_HOL_Ominus__class_Ominus @t12 @t21 @t11))))) % 1.21/1.42 (assume @p257 (forall (@list @t1 @t38 @t12) (= @t155 (tptp.hAPP (tptp.hAPP @t85 @t372) @t12)))) % 1.21/1.42 (assume @p258 (forall (@list @t349 @t351 @t13 @t2 @t1 @t350 @t348 @t347 @t346 @t345 @t344) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t349 @t373) @t2)) @t105 @t352))) % 1.21/1.42 (assume @p259 (forall (@list @t349 @t2 @t350 @t13 @t1 @t351 @t348 @t347 @t346 @t345 @t344) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t349 @t2) @t374)) @t105 @t352))) % 1.21/1.42 (assume @p260 (forall @t355 (= @t162 @t369))) % 1.21/1.42 (assume @p261 (forall @t80 (or @t230 @t375))) % 1.21/1.42 (assume @p262 (forall @t80 (or @t265 @t375))) % 1.21/1.42 (assume @p263 (forall (@list @t376 @t274) (or (not (= (tptp.c_Com_Ocom_OBODY @t376) @t275)) (= @t376 @t274)))) % 1.21/1.42 (assume @p264 (forall @t379 (or @t378 @t377))) % 1.21/1.42 (assume @p265 (forall @t379 (or @t378 @t380))) % 1.21/1.42 (assume @p266 (forall @t355 (= (tptp.hAPP @t161 @t162) @t162))) % 1.21/1.42 (assume @p267 (forall @t80 (or @t230 @t381))) % 1.21/1.42 (assume @p268 (forall @t80 (or @t265 @t381))) % 1.21/1.42 (assume @p269 (forall @t357 (not (= @t356 tptp.c_Com_Ocom_OSKIP)))) % 1.21/1.42 (assume @p270 (forall (@list @t13 @t12 @t1 @t55 @t37 @t2) (or @t382 (not (tptp.hBOOL (tptp.hAPP @t140 @t37))) @t105))) % 1.21/1.42 (assume @p271 (forall (@list @t13 @t12 @t1 @t55 @t37 @t38) (or @t382 (not (tptp.hBOOL (tptp.hAPP @t299 @t37))) @t241))) % 1.21/1.42 (assume @p272 (forall (@list @t303 @t302 @t307 @t277 @t276) (not (= @t304 @t383)))) % 1.21/1.42 (assume @p273 (forall @t384 (not (= tptp.c_Com_Ocom_OSKIP @t275)))) % 1.21/1.42 (assume @p274 (forall @t301 (or (= @t300 (tptp.hAPP @t103 @t96)) @t110))) % 1.21/1.42 (assume @p275 (forall (@list @t53 @t12 @t1 @t55 @t13) (or @t202 @t163))) % 1.21/1.42 (assume @p276 (forall @t69 (or @t164 @t163))) % 1.21/1.42 (assume @p277 (forall @t198 (= (tptp.hAPP @t222 @t2) @t2))) % 1.21/1.42 (assume @p278 (forall (@list @t13 @t12 @t1 @t21) (or @t386 (not @t385)))) % 1.21/1.42 (assume @p279 (forall (@list @t13 @t1 @t12 @t21) (or @t385 (not @t386)))) % 1.21/1.42 (assume @p280 (forall (@list @t55 @t53 @t2 @t167 @t1) (or @t190 (tptp.c_lessequals @t100 @t387 @t55) @t199))) % 1.21/1.42 (assume @p281 (forall @t396 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t205 @t395 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t205 @t393 @t1))))) % 1.21/1.42 (assume @p282 (forall @t198 (or @t398 (= (tptp.hAPP (tptp.hAPP @t226 @t397) @t2) @t2)))) % 1.21/1.42 (assume @p283 (forall @t198 (or @t398 (= (tptp.hAPP @t261 @t397) @t2)))) % 1.21/1.42 (assume @p284 (forall @t198 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t397 @t2 @t1)))) % 1.21/1.42 (assume @p285 (forall @t355 (or @t398 @t399 (= @t13 @t397)))) % 1.21/1.42 (assume @p286 (forall @t355 (or @t398 @t399 (= @t12 @t397)))) % 1.21/1.42 (assume @p287 (forall @t234 (= (tptp.hAPP @t400 @t40) @t40))) % 1.21/1.42 (assume @p288 (forall (@list @t351 @t1 @t344 @t350 @t349 @t348 @t347 @t346 @t345) (or (= (tptp.hAPP @t351 @t40) @t344) @t352))) % 1.21/1.42 (assume @p289 (forall (@list @t350 @t1 @t345 @t351 @t349 @t348 @t347 @t346 @t344) (or (= (tptp.hAPP @t350 @t40) @t345) @t352))) % 1.21/1.42 (assume @p290 (forall (@list @t1 @t282 @t2) (or (not (= @t40 @t309)) @t402))) % 1.21/1.42 (assume @p291 (forall @t201 @t403)) % 1.21/1.42 (assume @p292 (forall @t404 (or @t401 @t403))) % 1.21/1.42 (assume @p293 (forall (@list @t117 @t1) (not (tptp.hBOOL (tptp.c_in @t117 @t40 @t1))))) % 1.21/1.42 (assume @p294 (forall (@list @t38 @t1) (not (tptp.hBOOL (tptp.c_in @t38 @t40 @t1))))) % 1.21/1.42 (assume @p295 (forall @t234 (tptp.c_lessequals @t40 @t40 @t11))) % 1.21/1.42 (assume @p296 (forall @t233 (or @t251 (not (tptp.c_lessequals @t13 @t40 @t11))))) % 1.21/1.42 (assume @p297 (forall (@list @t282 @t1 @t2) (or (not (= @t309 @t40)) @t402))) % 1.21/1.42 (assume @p298 (forall @t405 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t53 @t40 @t1) @t2))))) % 1.21/1.42 (assume @p299 (forall @t224 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t13 @t11) @t40))) % 1.21/1.42 (assume @p300 (forall @t224 (= (tptp.hAPP @t161 @t40) @t13))) % 1.21/1.42 (assume @p301 (forall (@list @t1 @t12) (= (tptp.hAPP @t400 @t12) @t12))) % 1.21/1.42 (assume @p302 (forall @t233 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t13 @t11) @t40))) % 1.21/1.42 (assume @p303 (forall @t233 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t40 @t11) @t13))) % 1.21/1.42 (assume @p304 (forall @t224 (tptp.c_lessequals @t40 @t13 @t11))) % 1.21/1.42 (assume @p305 (forall @t288 (tptp.c_Fun_Oinj__on @t53 @t40 @t1 @t55))) % 1.21/1.42 (assume @p306 (forall @t404 (or @t402 @t403))) % 1.21/1.42 (assume @p307 (forall @t355 (or @t406 (= @t12 @t40)))) % 1.21/1.42 (assume @p308 (forall @t355 (or @t406 @t251))) % 1.21/1.42 (assume @p309 (forall @t407 (= @t372 @t143))) % 1.21/1.42 (assume @p310 (forall @t240 (or (= @t408 @t13) @t241))) % 1.21/1.42 (assume @p311 (forall @t43 (or @t412 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t411 @t1) @t228)))) % 1.21/1.42 (assume @p312 (forall @t113 (or @t291 @t15 @t296))) % 1.21/1.42 (assume @p313 (forall @t248 (or (= (tptp.c_HOL_Ominus__class_Ominus @t104 @t293 @t11) @t13) @t99))) % 1.21/1.42 (assume @p314 (forall (@list @t1 @t38 @t21 @t168) (or (tptp.c_lessequals (tptp.hAPP @t142 @t21) (tptp.hAPP @t142 @t168) @t11) (not (tptp.c_lessequals @t21 @t168 @t11))))) % 1.21/1.42 (assume @p315 (forall (@list @t38 @t1 @t37 @t13) (or @t413 @t241))) % 1.21/1.42 (assume @p316 (forall (@list @t38 @t1 @t37 @t12) (or (tptp.hBOOL (tptp.c_in @t38 @t414 @t1)) (not (tptp.hBOOL (tptp.c_in @t38 @t12 @t1)))))) % 1.21/1.42 (assume @p317 (forall (@list @t351 @t1 @t38 @t13 @t347 @t350 @t349 @t348 @t346 @t345 @t344) (or (= (tptp.hAPP @t351 @t175) (tptp.hAPP @t415 @t373)) @t352))) % 1.21/1.42 (assume @p318 (forall (@list @t350 @t1 @t38 @t13 @t346 @t351 @t349 @t348 @t347 @t345 @t344) (or (= (tptp.hAPP @t350 @t175) (tptp.hAPP @t416 @t374)) @t352))) % 1.21/1.42 (assume @p319 (forall (@list @t38 @t13 @t1 @t37) (or @t141 @t74 (not @t413)))) % 1.21/1.42 (assume @p320 (forall (@list @t12 @t1 @t38) (tptp.c_lessequals @t12 @t155 @t11))) % 1.21/1.42 (assume @p321 (forall (@list @t1 @t13 @t38 @t12) (= (tptp.hAPP @t161 @t155) (tptp.hAPP @t142 @t162)))) % 1.21/1.42 (assume @p322 (forall (@list @t1 @t38 @t12 @t21) (= (tptp.hAPP (tptp.hAPP @t85 @t155) @t21) (tptp.hAPP @t142 @t269)))) % 1.21/1.42 (assume @p323 (forall @t240 (or @t412 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t175 @t1) (tptp.hAPP @t227 @t417))))) % 1.21/1.42 (assume @p324 (forall (@list @t277 @t276 @t303 @t312 @t310) (not (= @t278 @t356)))) % 1.21/1.42 (assume @p325 (forall @t224 (tptp.c_Fun_Oinj__on @t214 @t13 @t1 @t1))) % 1.21/1.42 (assume @p326 (forall (@list @t13 @t12 @t55 @t1 @t2) (or (not (= @t365 @t40)) @t418 @t115))) % 1.21/1.42 (assume @p327 (forall (@list @t307 @t277 @t276 @t303 @t302) (not (= @t383 @t304)))) % 1.21/1.42 (assume @p328 (forall (@list @t117 @t13 @t1 @t12) (or @t216 @t419))) % 1.21/1.42 (assume @p329 (forall @t219 (or @t420 @t419))) % 1.21/1.42 (assume @p330 (forall (@list @t13 @t2 @t12 @t1 @t421 @t55) (or (tptp.c_lessequals @t422 @t12 @t11) (not (tptp.hBOOL (tptp.c_in @t2 @t421 @t55))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t421 @t13 @t55 @t11) @t12 @t11))))) % 1.21/1.42 (assume @p331 (forall (@list @t117 @t55 @t166 @t53) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t117 @t55 @t166) @t53 @t166 @t55 tptp.t_a) tptp.v_x) @t117))) % 1.21/1.42 (assume @p332 (forall @t407 (= (tptp.c_The @t371 @t1) @t38))) % 1.21/1.42 (assume @p333 (forall (@list @t303 @t312 @t310 @t277 @t276) (not (= @t356 @t278)))) % 1.21/1.42 (assume @p334 (forall (@list @t55 @t13 @t46 @t421 @t1) (or (= (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP @t13 @t46)) @t423) @t423) (not (tptp.hBOOL (tptp.c_in @t46 @t421 @t1)))))) % 1.21/1.42 (assume @p335 (forall @t425 (or @t424 @t311))) % 1.21/1.42 (assume @p336 (forall @t425 (or @t424 @t316))) % 1.21/1.42 (assume @p337 (forall @t425 (or @t424 @t377))) % 1.21/1.42 (assume @p338 (forall @t129 (or @t9 @t426 @t193 @t192))) % 1.21/1.42 (assume @p339 (forall @t120 (or @t9 @t119 @t82 @t427))) % 1.21/1.42 (assume @p340 (forall @t122 (or @t9 @t121 @t82 @t427))) % 1.21/1.42 (assume @p341 (forall @t429 (or (= @t428 @t252) @t99))) % 1.21/1.42 (assume @p342 (forall (@list @t53 @t167 @t55 @t1 @t166 @t2) (= @t431 @t430))) % 1.21/1.42 (assume @p343 (forall (@list @t38 @t37 @t366 @t166 @t55 @t1) (= @t367 (tptp.hAPP @t368 @t366)))) % 1.21/1.42 (assume @p344 (forall @t129 (or @t9 @t426 @t81))) % 1.21/1.42 (assume @p345 (forall (@list @t12 @t2 @t13 @t1) (or @t434 @t433 (not @t432)))) % 1.21/1.42 (assume @p346 (forall @t435 (or @t432 (not @t434)))) % 1.21/1.42 (assume @p347 (forall @t435 (or @t432 @t436))) % 1.21/1.42 (assume @p348 (forall @t219 (or @t218 @t216 (not @t437)))) % 1.21/1.42 (assume @p349 (forall (@list @t307 @t277 @t276 @t274) (not (= @t383 @t275)))) % 1.21/1.42 (assume @p350 (forall (@list @t274 @t307 @t277 @t276) (not (= @t275 @t383)))) % 1.21/1.42 (assume @p351 (forall (@list @t1 @t13 @t12 @t55 @t2) (or (not (= @t40 @t365)) @t418 @t115))) % 1.21/1.42 (assume @p352 (forall (@list @t1 @t55 @t13 @t12) (= (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t147 @t13 @t55 @t11)) @t12) @t12))) % 1.21/1.42 (assume @p353 (forall (@list @t1 @t13 @t55 @t12) (= (tptp.hAPP @t161 @t287) @t13))) % 1.21/1.42 (assume @p354 (forall @t305 (not (= tptp.c_Com_Ocom_OSKIP @t304)))) % 1.21/1.42 (assume @p355 (forall (@list @t13 @t12 @t1 @t21 @t168) (or (tptp.c_lessequals @t96 (tptp.c_HOL_Ominus__class_Ominus @t21 @t168 @t11) @t11) (not (tptp.c_lessequals @t168 @t12 @t11)) @t246))) % 1.21/1.42 (assume @p356 (forall @t78 (or @t77 @t93 @t15))) % 1.21/1.42 (assume @p357 (forall @t80 (or @t9 @t79 @t5 @t28))) % 1.21/1.42 (assume @p358 (forall @t80 (or @t9 @t79 @t28 @t5))) % 1.21/1.42 (assume @p359 (forall @t80 (or @t230 (= @t263 @t2) @t5))) % 1.21/1.42 (assume @p360 (forall @t80 (or @t230 (not @t438) @t27))) % 1.21/1.42 (assume @p361 (forall @t80 (or @t230 @t438 @t28))) % 1.21/1.42 (assume @p362 (forall @t355 (or @t439 @t15))) % 1.21/1.42 (assume @p363 (forall @t355 (or (= @t162 @t13) @t93))) % 1.21/1.42 (assume @p364 (forall @t355 (or (not @t439) @t14))) % 1.21/1.42 (assume @p365 (forall @t429 (or (= @t428 (tptp.hAPP @t130 @t2)) @t105))) % 1.21/1.42 (assume @p366 (forall @t234 (= @t40 (tptp.c_Collect (tptp.c_COMBK tptp.c_False tptp.tc_bool @t1) @t1)))) % 1.21/1.42 (assume @p367 (forall (@list @t55 @t38 @t13 @t12 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP @t238 @t13) @t12 @t55 @t11) (tptp.hAPP (tptp.hAPP @t85 @t299) @t365)))) % 1.21/1.42 (assume @p368 (forall @t250 (or @t412 (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf @t13 @t1) @t2 @t1) @t105))) % 1.21/1.42 (assume @p369 (forall @t43 (or @t9 @t440 @t81))) % 1.21/1.42 (assume @p370 (forall @t43 (or @t9 (not @t440) @t82))) % 1.21/1.42 (assume @p371 (forall (@list @t53 @t167 @t55 @t166 @t1 @t2) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t53 @t167 @t55 @t166 @t1) @t2) (tptp.hAPP @t167 @t100)))) % 1.21/1.42 (assume @p372 (forall (@list @t1 @t13 @t12 @t21 @t168) (or (tptp.c_lessequals @t162 (tptp.hAPP (tptp.hAPP @t85 @t21) @t168) @t11) (not (tptp.c_lessequals @t12 @t168 @t11)) @t246))) % 1.21/1.42 (assume @p373 (forall (@list @t53 @t167 @t185 @t441 @t166 @t1 @t55) (= (tptp.c_Fun_Ocomp @t53 (tptp.c_Fun_Ocomp @t167 @t185 @t441 @t166 @t1) @t166 @t55 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t53 @t167 @t166 @t55 @t441) @t185 @t441 @t55 @t1)))) % 1.21/1.42 (assume @p374 (forall @t442 (not (= @t313 tptp.c_Com_Ocom_OSKIP)))) % 1.21/1.42 (assume @p375 (forall @t301 (or @t361 @t15 @t111))) % 1.21/1.42 (assume @p376 (forall (@list @t53 @t2 @t6 @t1 @t55) (or (= (tptp.hAPP @t100 @t444) @t444) @t443))) % 1.21/1.42 (assume @p377 (forall @t236 (= (tptp.c_Fun_Ofcomp @t53 @t204 @t1 @t55 @t55) @t53))) % 1.21/1.42 (assume @p378 (forall (@list @t1 @t167 @t55) (= (tptp.c_Fun_Ofcomp @t222 @t167 @t1 @t1 @t55) @t167))) % 1.21/1.42 (assume @p379 (forall (@list @t303 @t302 @t277 @t276) (not (= @t304 @t278)))) % 1.21/1.42 (assume @p380 (forall @t445 (or @t437 @t420))) % 1.21/1.42 (assume @p381 (forall @t445 (or @t437 @t217))) % 1.21/1.42 (assume @p382 (forall (@list @t13 @t1 @t55) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 (tptp.c_COMBK @t40 @t11 @t55) @t55 @t11) @t40))) % 1.21/1.42 (assume @p383 (forall @t341 (or @t230 @t35 @t446))) % 1.21/1.42 (assume @p384 (forall @t32 (or @t230 @t342 @t446))) % 1.21/1.42 (assume @p385 (forall @t231 (or @t230 @t447 (not (tptp.c_lessequals @t2 @t37 @t1))))) % 1.21/1.42 (assume @p386 (forall @t231 (or @t230 @t447 (not (tptp.c_lessequals @t2 @t38 @t1))))) % 1.21/1.42 (assume @p387 (forall (@list @t1 @t37 @t2 @t38) (or @t230 @t336 @t448))) % 1.21/1.42 (assume @p388 (forall (@list @t1 @t38 @t2 @t37) (or @t230 @t335 @t448))) % 1.21/1.42 (assume @p389 (forall @t25 (or @t245 @t449))) % 1.21/1.42 (assume @p390 (forall (@list @t12 @t21 @t1 @t13) (or @t22 @t449))) % 1.21/1.42 (assume @p391 (forall @t10 (or @t9 @t340 @t177 @t5))) % 1.21/1.42 (assume @p392 (forall @t32 (or @t31 @t342 @t36 @t28))) % 1.21/1.42 (assume @p393 (forall @t363 (or @t110 @t105 @t15))) % 1.21/1.42 (assume @p394 (forall @t219 (or @t218 @t217 @t15))) % 1.21/1.42 (assume @p395 (forall @t201 (tptp.c_lessequals @t2 @t2 @t11))) % 1.21/1.42 (assume @p396 (forall @t363 (or @t110 @t15 @t105))) % 1.21/1.42 (assume @p397 (forall (@list @t450 @t12 @t1 @t13) (or (tptp.hBOOL (tptp.c_in @t450 @t12 @t1)) (not (tptp.hBOOL (tptp.c_in @t450 @t13 @t1))) @t15))) % 1.21/1.42 (assume @p398 (forall @t233 (tptp.c_lessequals @t13 @t13 @t11))) % 1.21/1.42 (assume @p399 (forall @t25 (or @t245 @t23 @t15))) % 1.21/1.42 (assume @p400 (forall @t69 (or @t164 @t15 @t203))) % 1.21/1.42 (assume @p401 (forall @t453 (or @t452 @t402 @t451))) % 1.21/1.42 (assume @p402 (forall @t198 (or @t9 @t220))) % 1.21/1.42 (assume @p403 (forall @t198 (or @t31 @t220))) % 1.21/1.42 (assume @p404 (forall @t453 (or @t452 @t451 @t402))) % 1.21/1.42 (assume @p405 (forall @t43 (or @t9 @t153 @t81))) % 1.21/1.42 (assume @p406 (forall @t43 (or @t9 (not @t153) @t82))) % 1.21/1.42 (assume @p407 (forall (@list @t307 @t306 @t274) (not (= @t308 @t275)))) % 1.21/1.42 (assume @p408 (forall @t384 (not (= @t275 tptp.c_Com_Ocom_OSKIP)))) % 1.21/1.42 (assume @p409 (forall (@list @t38 @t37 @t166 @t55 @t1 @t117 @t116 @t441 @t366) (or (not (= @t368 (tptp.c_Fun_Ocomp @t117 @t116 @t441 @t55 @t1))) (= @t367 (tptp.hAPP @t117 (tptp.hAPP @t116 @t366)))))) % 1.21/1.42 (assume @p410 (forall (@list @t53 @t167 @t2 @t456 @t455 @t60 @t55 @t1 @t166 @t441 @t454) (or (not (= @t430 (tptp.hAPP @t456 (tptp.hAPP @t455 @t60)))) (= @t431 (tptp.hAPP (tptp.c_Fun_Ocomp @t456 @t455 @t441 @t1 @t454) @t60))))) % 1.21/1.42 (assume @p411 (forall (@list @t55 @t13 @t12 @t297 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t87 @t297 @t55 @t11) (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t297 @t55 @t11)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t12 @t297 @t55 @t11))))) % 1.21/1.42 (assume @p412 (forall @t198 (= (tptp.c_The @t457 @t1) @t2))) % 1.21/1.42 (assume @p413 (forall @t181 (or (= (tptp.c_Fun_Ocomp @t100 @t100 @t55 @t55 @t55) @t100) @t443))) % 1.21/1.42 (assume @p414 (forall (@list @t12 @t21 @t13 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t12 (tptp.c_HOL_Ominus__class_Ominus @t21 @t13 @t11) @t11) @t13) @t23 @t15))) % 1.21/1.42 (assume @p415 (forall @t65 (or @t64 @t63 @t458 @t5))) % 1.21/1.42 (assume @p416 (forall @t65 (or @t64 @t63 @t4 (not @t458)))) % 1.21/1.42 (assume @p417 (forall @t248 (or @t412 (tptp.c_lessequals @t2 @t417 @t1) @t105))) % 1.21/1.42 (assume @p418 (forall (@list @t53 @t167 @t1 @t441 @t166 @t185 @t55) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t53 @t167 @t1 @t441 @t166) @t185 @t1 @t166 @t55) (tptp.c_Fun_Ofcomp @t53 (tptp.c_Fun_Ofcomp @t167 @t185 @t441 @t166 @t55) @t1 @t441 @t55)))) % 1.21/1.42 (assume @p419 (forall @t442 (not (= tptp.c_Com_Ocom_OSKIP @t313)))) % 1.21/1.42 (assume @p420 (forall @t91 (or @t83 @t4 @t27))) % 1.21/1.42 (assume @p421 (forall (@list @t13 @t1 @t37 @t12) (or (tptp.c_lessequals @t13 @t414 @t11) @t15))) % 1.21/1.42 (assume @p422 (forall @t112 (or @t14 @t362))) % 1.21/1.42 (assume @p423 (forall (@list @t53 @t13 @t1 @t55 @t38) (or @t164 @t323))) % 1.21/1.42 (assume @p424 (forall (@list @t2 @t1 @t13) (tptp.hBOOL (tptp.c_in @t2 @t104 @t1)))) % 1.21/1.42 (assume @p425 (forall (@list @t38 @t1 @t12) (tptp.hBOOL (tptp.c_in @t38 @t155 @t1)))) % 1.21/1.42 (assume @p426 (forall (@list @t2 @t1 @t12) (tptp.hBOOL (tptp.c_in @t2 @t107 @t1)))) % 1.21/1.42 (assume @p427 (forall @t234 (tptp.c_Finite__Set_Ofun__left__comm__idem @t102 @t1 @t11))) % 1.21/1.42 (assume @p428 (forall @t301 (or (not (= @t104 @t107)) @t110 @t99 @t77))) % 1.21/1.42 (assume @p429 (forall @t240 (or (= @t175 @t13) @t241))) % 1.21/1.42 (assume @p430 (forall (@list @t130 @t55) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t130 @t459 tptp.t_a @t55) tptp.v_x) @t252))) % 1.21/1.42 (assume @p431 (forall @t460 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t53 @t167 @t166 @t55 tptp.t_a) tptp.v_x) (tptp.hAPP @t53 @t289)))) % 1.21/1.42 (assume @p432 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 1.21/1.42 (assume @p433 (forall @t460 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t53 @t167 tptp.t_a @t166 @t55) tptp.v_x) (tptp.hAPP @t167 @t179)))) % 1.21/1.42 (assume @p434 (forall (@list @t282 @t463 @t258 @t462 @t461) (or (not (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t258 @t462 @t461 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t282 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t463 @t258) @t462) @t461)))))) % 1.21/1.42 (assume @p435 (forall (@list @t282 @t463 @t465 @t306 @t464) (or (not (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t465 @t306 @t464 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t282 @t466))))) % 1.21/1.42 (assume @p436 (forall @t468 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t463 @t467 @t55 @t1) @t466))) % 1.21/1.42 (assume @p437 (forall @t468 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t463 @t467 @t55 @t1) @t466))) % 1.21/1.42 (assume @p438 (forall (@list @t205 @t470 @t1 @t469) (or @t471 (not (tptp.c_lessequals @t470 @t469 @t389)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t469 @t1))))) % 1.21/1.42 (assume @p439 (forall @t474 (or @t471 (not (tptp.c_lessequals @t472 @t205 @t389)) @t473))) % 1.21/1.42 (assume @p440 (forall @t476 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t205 @t470 @t1) @t475))) % 1.21/1.42 (assume @p441 (forall @t476 (or @t471 (not (tptp.c_lessequals @t470 @t205 @t389))))) % 1.21/1.42 (assume @p442 (forall @t484 (or @t483 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t482 (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) @t481) @t479 tptp.t_a) @t117 (tptp.c_COMBK (tptp.hAPP @t280 @t480) @t479 tptp.t_a) tptp.t_a)) @t478) tptp.t_a))))) % 1.21/1.42 (assume @p443 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 1.21/1.42 (assume @p444 (= (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP tptp.v_P @t485))) % 1.21/1.42 (assume @p445 (= (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t486 @t485))) % 1.21/1.42 (assume @p446 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.v_P tptp.t_a tptp.t_b tptp.t_c) tptp.v_Q) tptp.v_R) (tptp.hAPP @t486 tptp.v_Q))) % 1.21/1.42 (assume @p447 (forall @t396 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t395 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t393 @t1))))) % 1.21/1.42 (assume @p448 (forall (@list @t205 @t1 @t282 @t117) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 @t117 (tptp.c_COMBK (tptp.c_COMBK tptp.c_True tptp.tc_bool tptp.tc_Com_Ostate) @t479 @t1) @t1)) @t390) @t1))) % 1.21/1.42 (assume @p449 (forall (@list @t205 @t1 @t117 @t280) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_COMBK (tptp.c_COMBK tptp.c_False tptp.tc_bool tptp.tc_Com_Ostate) @t479 @t1) @t117 @t280 @t1)) @t390) @t1))) % 1.21/1.42 (assume @p450 (forall @t491 (or @t490 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.hAPP @t489 @t205) @t488 @t1))))) % 1.21/1.42 (assume @p451 (forall @t491 (or @t490 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t488 @t1))))) % 1.21/1.42 (assume @p452 (forall (@list @t205 @t1 @t282 @t37 @t117 @t116 @t280) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 (tptp.c_Com_Ocom_OCond @t37 @t117 @t116) @t280 @t1)) @t390) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t394 @t116 @t280 @t1)) @t390) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t391 @t117 @t280 @t1)) @t390) @t1))))) % 1.21/1.42 (assume @p453 (forall @t234 (or @t412 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t40 @t1) @t397)))) % 1.21/1.42 (assume @p454 (forall @t407 (= (tptp.c_Collect (tptp.hAPP @t370 @t38) @t1) @t143))) % 1.21/1.42 (assume @p455 (forall (@list @t13 @t1 @t2) (or (= @t13 @t293) @t251 (not (tptp.c_lessequals @t13 @t293 @t11))))) % 1.21/1.42 (assume @p456 (forall @t201 (tptp.hBOOL (tptp.c_in @t2 @t293 @t1)))) % 1.21/1.42 (assume @p457 (forall (@list @t351 @t1 @t38 @t350 @t349 @t348 @t347 @t346 @t345 @t344) (or (= (tptp.hAPP @t351 @t143) @t38) @t352))) % 1.21/1.42 (assume @p458 (forall (@list @t350 @t1 @t38 @t351 @t349 @t348 @t347 @t346 @t345 @t344) (or (= (tptp.hAPP @t350 @t143) @t38) @t352))) % 1.21/1.42 (assume @p459 (forall @t407 (or @t412 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t143 @t1) @t38)))) % 1.21/1.42 (assume @p460 (forall @t198 (tptp.hBOOL (tptp.hAPP @t293 @t492)))) % 1.21/1.42 (assume @p461 (forall (@list @t1 @t38 @t55 @t12) (= (tptp.hAPP @t142 @t287) @t143))) % 1.21/1.42 (assume @p462 (forall @t405 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t53 @t293 @t1) @t2)))) % 1.21/1.42 (assume @p463 (forall @t407 (or @t83 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t143 @t1) @t38)))) % 1.21/1.42 (assume @p464 (forall @t198 (= (tptp.c_The @t293 @t1) @t2))) % 1.21/1.42 (assume @p465 (forall (@list @t351 @t1 @t38 @t37 @t347 @t350 @t349 @t348 @t346 @t345 @t344) (or (= (tptp.hAPP @t351 @t411) (tptp.hAPP @t415 @t37)) @t352))) % 1.21/1.42 (assume @p466 (forall (@list @t350 @t1 @t38 @t37 @t346 @t351 @t349 @t348 @t347 @t345 @t344) (or (= (tptp.hAPP @t350 @t411) (tptp.hAPP @t416 @t37)) @t352))) % 1.21/1.42 (assume @p467 (forall @t160 (= @t156 (tptp.c_HOL_Ominus__class_Ominus @t144 @t12 @t11)))) % 1.21/1.42 (assume @p468 (forall @t160 (= @t156 (tptp.c_HOL_Ominus__class_Ominus @t96 @t143 @t11)))) % 1.21/1.42 (assume @p469 (forall (@list @t38 @t37 @t53 @t1) (or @t74 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t53 @t143 @t1) @t37)))))) % 1.21/1.42 (assume @p470 (forall @t198 (= (tptp.c_Set_Ocontents @t293 @t1) @t2))) % 1.21/1.42 (assume @p471 (forall (@list @t3 @t1 @t2) (or (= @t3 @t492) (not (tptp.hBOOL (tptp.hAPP @t293 @t3)))))) % 1.21/1.42 (assume @p472 (forall (@list @t37 @t38 @t1) (or (= @t37 @t38) (not (tptp.hBOOL (tptp.c_in @t37 @t143 @t1)))))) % 1.21/1.42 (assume @p473 (forall (@list @t53 @t1 @t38) (= (tptp.c_Finite__Set_Ofold1 @t53 @t143 @t1) @t38))) % 1.21/1.42 (assume @p474 (forall @t407 (or @t83 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t143 @t1) @t38)))) % 1.21/1.42 (assume @p475 (forall @t240 (= @t408 @t175))) % 1.21/1.42 (assume @p476 (forall @t407 (or @t9 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t38 @t38 @t1) @t143)))) % 1.21/1.42 (assume @p477 (forall (@list @t1 @t2 @t258) (or (not (= (tptp.hAPP @t103 @t258) @t40)) (tptp.hBOOL (tptp.c_in @t2 @t258 @t1))))) % 1.21/1.42 (assume @p478 (forall @t240 (= @t175 (tptp.hAPP (tptp.hAPP @t85 @t143) @t13)))) % 1.21/1.42 (assume @p479 (forall @t407 (or @t412 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t143 @t1) @t38)))) % 1.21/1.42 (assume @p480 (= (tptp.hAPP @t459 tptp.v_x) (tptp.c_in tptp.v_x @t459 tptp.t_a))) % 1.21/1.42 (assume @p481 (forall @t499 (or @t483 (tptp.hBOOL (tptp.hAPP @t498 @t497)) (not (tptp.hBOOL (tptp.hAPP @t496 @t494))) @t493))) % 1.21/1.42 (assume @p482 (forall (@list @t205 @t282 @t117 @t280 @t500 @t495 @t501) (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t500 @t495) @t504)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t501 @t495) @t503))) @t502))) % 1.21/1.42 (assume @p483 (forall @t499 (or @t483 (tptp.hBOOL (tptp.hAPP @t498 @t506)) (not (tptp.hBOOL (tptp.hAPP @t496 @t505))) @t493))) % 1.21/1.42 (assume @p484 (forall @t484 (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t282 @t507) @t505))))) % 1.21/1.42 (assume @p485 (forall @t508 (or @t483 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t280 @t507) @t506))) @t493))) % 1.21/1.42 (assume @p486 (forall @t484 (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t282 @t509) @t494))))) % 1.21/1.42 (assume @p487 (forall @t513 (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t500 @t512) @t511)) @t510))) % 1.21/1.42 (assume @p488 (forall @t515 (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t282 @t514) @t503)) @t502))) % 1.21/1.42 (assume @p489 (forall @t519 (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t282 @t518) @t517)) @t516))) % 1.21/1.42 (assume @p490 (forall @t508 (or @t483 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t280 @t509) @t497))) @t493))) % 1.21/1.42 (assume @p491 (forall @t519 (or @t483 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t501 @t518) @t517))) @t516))) % 1.21/1.42 (assume @p492 (forall @t515 (or @t483 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t280 @t514) @t504))) @t502))) % 1.21/1.42 (assume @p493 (forall @t513 (or @t483 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t280 @t512) @t511))) @t510))) % 1.21/1.42 (assume @p494 (forall @t484 (or @t483 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t282 @t480) @t481))))) % 1.21/1.42 (assume @p495 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 1.21/1.42 (assume @p496 (forall (@list @t205 @t1 @t282) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 tptp.c_Com_Ocom_OSKIP @t282 @t1)) @t390) @t1))) % 1.21/1.42 (assume @p497 (forall (@list @t205 @t1 @t282 @t117 @t116 @t279 @t280) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 (tptp.c_Com_Ocom_OSemi @t117 @t116) @t279 @t1)) @t390) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t280 @t116 @t279 @t1)) @t390) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t282 @t117 @t280 @t1)) @t390) @t1))))) % 1.21/1.42 (assume @p498 (forall @t523 (or @t522 @t475 (not @t521)))) % 1.21/1.42 (assume @p499 (forall (@list @t205 @t470 @t1 @t450) (or @t471 @t524))) % 1.21/1.42 (assume @p500 (forall @t248 (tptp.hBOOL (tptp.hAPP @t104 @t2)))) % 1.21/1.42 (assume @p501 (forall @t474 (or @t471 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t472 @t1)) @t473))) % 1.21/1.42 (assume @p502 (forall @t240 (not (= @t40 @t175)))) % 1.21/1.42 (assume @p503 (forall @t528 (or @t527 (= @t464 @t525)))) % 1.21/1.42 (assume @p504 (forall @t528 (or @t527 @t380))) % 1.21/1.42 (assume @p505 (forall @t528 (or @t527 (= @t465 @t526)))) % 1.21/1.42 (assume @p506 (forall @t129 (or @t531 @t530 @t529))) % 1.21/1.42 (assume @p507 (forall @t129 (or @t531 @t532 @t529))) % 1.21/1.42 (assume @p508 (forall @t129 (or @t531 @t530 @t212))) % 1.21/1.42 (assume @p509 (forall @t129 (or @t531 @t532 @t212))) % 1.21/1.42 (assume @p510 (forall @t198 (not (tptp.hBOOL (tptp.hAPP @t40 @t2))))) % 1.21/1.42 (assume @p511 (forall (@list @t205 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t205 @t390 @t1))) % 1.21/1.42 (assume @p512 (forall (@list @t13 @t2 @t3 @t1) (or @t433 (= @t3 @t2) (not @t534)))) % 1.21/1.42 (assume @p513 (forall @t248 (= (tptp.hAPP @t103 @t104) @t104))) % 1.21/1.42 (assume @p514 (forall @t240 (not (= @t175 @t40)))) % 1.21/1.42 (assume @p515 (forall (@list @t55) (or (not (tptp.class_Orderings_Obot @t55)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t290) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t55))))) % 1.21/1.42 (assume @p516 (forall (@list @t1 @t2 @t3 @t13) (= (tptp.hAPP @t103 @t533) (tptp.hAPP @t148 @t104)))) % 1.21/1.42 (assume @p517 (forall (@list @t1 @t258 @t2) (= (tptp.hAPP @t535 @t293) (tptp.hAPP @t103 (tptp.hAPP @t535 @t40))))) % 1.21/1.42 (assume @p518 (forall @t43 (or (not (= @t143 @t410)) @t74))) % 1.21/1.42 (assume @p519 (forall @t523 (or @t521 @t524))) % 1.21/1.42 (assume @p520 (forall (@list @t1 @t3 @t13 @t2) (or @t534 @t436))) % 1.21/1.42 (assume @p521 @t536) % 1.21/1.42 (assume @p522 @t537) % 1.21/1.42 (assume @p523 (or @t539 @t538)) % 1.21/1.42 (assume @p524 (forall @t544 (or (not (tptp.hBOOL (tptp.hAPP @t543 @t542))) @t541))) % 1.21/1.42 (assume @p525 (forall @t544 (or (not (tptp.hBOOL (tptp.hAPP @t545 @t542))) @t541))) % 1.21/1.42 (assume @p526 @t546) % 1.21/1.42 (assume @p527 (forall @t550 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t549) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t547))))) % 1.21/1.42 (assume @p528 (forall @t550 (or (tptp.class_Lattices_Oupper__semilattice @t549) @t551))) % 1.21/1.42 (assume @p529 (forall @t550 (or (tptp.class_Lattices_Obounded__lattice @t549) (not (tptp.class_Lattices_Obounded__lattice @t547))))) % 1.21/1.42 (assume @p530 (forall @t550 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t549) @t552 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t548))))) % 1.21/1.42 (assume @p531 (forall @t550 (or (tptp.class_Orderings_Opreorder @t549) (not (tptp.class_Orderings_Opreorder @t547))))) % 1.21/1.42 (assume @p532 (forall @t550 (or (tptp.class_Lattices_Olattice @t549) @t551))) % 1.21/1.42 (assume @p533 (forall @t550 (or (tptp.class_Orderings_Oorder @t549) (not (tptp.class_Orderings_Oorder @t547))))) % 1.21/1.42 (assume @p534 (forall @t550 (or (tptp.class_Orderings_Obot @t549) (not (tptp.class_Orderings_Obot @t547))))) % 1.21/1.42 (assume @p535 (forall @t550 (or (tptp.class_HOL_Ominus @t549) (not (tptp.class_HOL_Ominus @t547))))) % 1.21/1.42 (assume @p536 (forall @t550 (or (tptp.class_HOL_Oord @t549) (not (tptp.class_HOL_Oord @t547))))) % 1.21/1.42 (assume @p537 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.21/1.42 (assume @p538 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 1.21/1.42 (assume @p539 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.21/1.42 (assume @p540 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.21/1.42 (assume @p541 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.21/1.42 (assume @p542 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.21/1.42 (assume @p543 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.21/1.42 (assume @p544 (tptp.class_HOL_Ominus tptp.tc_nat)) % 1.21/1.42 (assume @p545 (tptp.class_HOL_Oord tptp.tc_nat)) % 1.21/1.42 (assume @p546 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.21/1.42 (assume @p547 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.21/1.42 (assume @p548 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.21/1.42 (assume @p549 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 1.21/1.42 (assume @p550 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.21/1.42 (assume @p551 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.21/1.42 (assume @p552 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.21/1.42 (assume @p553 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.21/1.42 (assume @p554 (tptp.class_HOL_Ominus tptp.tc_bool)) % 1.21/1.42 (assume @p555 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.21/1.42 (assume @p556 (forall (@list @t547) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t547)) @t552))) % 1.21/1.42 (assume @p557 (forall @t198 (tptp.hBOOL (tptp.hAPP @t457 @t2)))) % 1.21/1.42 (assume @p558 (forall (@list @t553 @t213 @t1) (or (= @t553 @t213) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t370 @t553) @t213)))))) % 1.21/1.42 (step @p559 :rule instantiate :premises (@p525) :args ((@list tptp.v_P_H tptp.v_Q_H))) % 1.21/1.42 (step @p560 :rule cnf_or_pos :args (@t557)) % 1.21/1.42 (step @p561 :rule reordering :premises (@p560) :args ((or @t554 @t556 (not @t557)))) % 1.21/1.42 (step @p562 :rule chain_m_resolution :premises (@p561 @p522 @p559) :args (@t556 @t558 (@list @t537 @t557))) % 1.21/1.42 (step @p563 :rule instantiate :premises (@p526) :args ((@list tptp.v_Q tptp.v_x tptp.v_P))) % 1.21/1.42 (step @p564 :rule instantiate :premises (@p524) :args ((@list tptp.v_P tptp.v_Q))) % 1.21/1.42 (step @p565 :rule cnf_or_pos :args (@t562)) % 1.21/1.42 (step @p566 :rule reordering :premises (@p565) :args ((or @t559 @t561 (not @t562)))) % 1.21/1.42 (step @p567 :rule chain_m_resolution :premises (@p566 @p521 @p564) :args (@t561 @t558 (@list @t536 @t562))) % 1.21/1.42 (step @p568 :rule cnf_or_pos :args (@t564)) % 1.21/1.42 (step @p569 :rule reordering :premises (@p568) :args ((or @t559 @t563 @t560 (not @t564)))) % 1.21/1.42 (step @p570 :rule chain_m_resolution :premises (@p569 @p521 @p567 @p563) :args (@t563 (@list false true false) (@list @t536 @t560 @t564))) % 1.21/1.42 (step @p571 :rule chain_m_resolution :premises (@p523 @p570) :args (@t539 (@list true) (@list @t538))) % 1.21/1.42 (step @p572 :rule cnf_or_pos :args (@t566)) % 1.21/1.42 (step @p573 :rule reordering :premises (@p572) :args ((or @t554 @t565 @t555 @t567))) % 1.21/1.42 (step @p574 :rule chain_m_resolution :premises (@p573 @p522 @p571 @p562) :args (@t567 (@list false false true) (@list @t537 @t539 @t555))) % 1.21/1.42 (assume-push @p581 @t546) % 1.21/1.42 (step @p576 :rule instantiate :premises (@p526) :args ((@list tptp.v_Q_H tptp.v_x tptp.v_P_H))) % 1.21/1.42 (step-pop @p582 :rule scope :premises (@p576)) % 1.21/1.42 (step @p577 :rule process_scope :premises (@p582) :args (@t566)) % 1.21/1.42 (step @p579 :rule implies_elim :premises (@p577)) % 1.21/1.42 (step @p580 false :rule chain_m_resolution :premises (@p579 @p574 @p526) :args (false (@list true false) (@list @t566 @t546))) % 1.21/1.42 ) % 1.21/1.42 % SZS output end Proof % 1.21/1.42 % cvc5 exiting %------------------------------------------------------------------------------