%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV897-1 : 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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:34 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.86s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV897-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:20:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.86 % SZS status Unsatisfiable % 0.45/0.86 % SZS output start Proof % 0.45/0.88 ( % 0.45/0.88 (declare-sort $$unsorted 0) % 0.45/0.88 (declare-const tptp.v_pn $$unsorted) % 0.45/0.88 (declare-const tptp.v_xa $$unsorted) % 0.45/0.88 (declare-const tptp.v_G $$unsorted) % 0.45/0.88 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.v_c $$unsorted) % 0.45/0.88 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Com_Obody $$unsorted) % 0.45/0.88 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.t_a $$unsorted) % 0.45/0.88 (declare-const tptp.c_OrderedGroup_Olordered__ab__group__add__class_Opprt (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.v_x $$unsorted) % 0.45/0.88 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.v_g $$unsorted) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 0.45/0.88 (declare-const tptp.v_Procs $$unsorted) % 0.45/0.88 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.t_c $$unsorted) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.tc_bool $$unsorted) % 0.45/0.88 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.t_b $$unsorted) % 0.45/0.88 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.45/0.88 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Natural_Oevalc $$unsorted) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.45/0.88 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.v_f $$unsorted) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.45/0.88 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.tc_nat $$unsorted) % 0.45/0.88 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.45/0.88 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.45/0.88 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.45/0.88 (define @t1 () (@var "T_a" $$unsorted)) % 0.45/0.88 (define @t2 () (@var "V_a" $$unsorted)) % 0.45/0.88 (define @t3 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.45/0.88 (define @t4 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.45/0.88 (define @t5 () (tptp.c_OrderedGroup_Olordered__ab__group__add__class_Opprt @t2 @t1)) % 0.45/0.88 (define @t6 () (= @t5 @t2)) % 0.45/0.88 (define @t7 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.45/0.88 (define @t8 () (@list @t1 @t2)) % 0.45/0.88 (define @t9 () (tptp.hAPP tptp.v_g tptp.v_x)) % 0.45/0.88 (define @t10 () (@var "V_com2" $$unsorted)) % 0.45/0.88 (define @t11 () (@var "V_com1" $$unsorted)) % 0.45/0.88 (define @t12 () (tptp.c_Com_Ocom_OSemi @t11 @t10)) % 0.45/0.88 (define @t13 () (@var "V_fun_H" $$unsorted)) % 0.45/0.88 (define @t14 () (@var "V_pname_H" $$unsorted)) % 0.45/0.88 (define @t15 () (@var "V_vname_H" $$unsorted)) % 0.45/0.88 (define @t16 () (tptp.c_Com_Ocom_OCall @t15 @t14 @t13)) % 0.45/0.88 (define @t17 () (@var "T_b" $$unsorted)) % 0.45/0.88 (define @t18 () (@var "V_A" $$unsorted)) % 0.45/0.88 (define @t19 () (@var "V_f" $$unsorted)) % 0.45/0.88 (define @t20 () (tptp.c_Fun_Oinj__on @t19 @t18 @t1 @t17)) % 0.45/0.88 (define @t21 () (not @t20)) % 0.45/0.88 (define @t22 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.45/0.88 (define @t23 () (tptp.c_Orderings_Obot__class_Obot @t22)) % 0.45/0.88 (define @t24 () (tptp.c_Set_Oinsert @t2 @t23 @t1)) % 0.45/0.88 (define @t25 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t24 @t22)) % 0.45/0.88 (define @t26 () (tptp.hAPP @t19 @t2)) % 0.45/0.88 (define @t27 () (tptp.c_in @t17)) % 0.45/0.88 (define @t28 () (tptp.hAPP @t27 @t26)) % 0.45/0.88 (define @t29 () (tptp.hBOOL (tptp.hAPP @t28 (tptp.c_Set_Oimage @t19 @t25 @t1 @t17)))) % 0.45/0.88 (define @t30 () (tptp.c_Set_Oinsert @t2 @t18 @t1)) % 0.45/0.88 (define @t31 () (tptp.c_Fun_Oinj__on @t19 @t30 @t1 @t17)) % 0.45/0.88 (define @t32 () (@var "V_x" $$unsorted)) % 0.45/0.88 (define @t33 () (tptp.c_Set_Oinsert @t32 @t18 @t1)) % 0.45/0.88 (define @t34 () (tptp.c_in @t1)) % 0.45/0.88 (define @t35 () (tptp.hAPP @t34 @t32)) % 0.45/0.88 (define @t36 () (@var "V_B" $$unsorted)) % 0.45/0.88 (define @t37 () (tptp.c_Set_Oinsert @t2 @t36 @t1)) % 0.45/0.88 (define @t38 () (tptp.hAPP @t34 @t2)) % 0.45/0.88 (define @t39 () (tptp.c_Set_Oinsert @t32 @t36 @t1)) % 0.45/0.88 (define @t40 () (tptp.c_Fun_Oid @t1)) % 0.45/0.88 (define @t41 () (@list @t1 @t18)) % 0.45/0.88 (define @t42 () (@var "V_fun" $$unsorted)) % 0.45/0.88 (define @t43 () (@var "V_pname" $$unsorted)) % 0.45/0.88 (define @t44 () (@var "V_vname" $$unsorted)) % 0.45/0.88 (define @t45 () (@var "V_f8" $$unsorted)) % 0.45/0.88 (define @t46 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t45 @t44) @t43) @t42)) % 0.45/0.88 (define @t47 () (tptp.c_Com_Ocom_OCall @t44 @t43 @t42)) % 0.45/0.88 (define @t48 () (@var "V_f7" $$unsorted)) % 0.45/0.88 (define @t49 () (@var "V_f6" $$unsorted)) % 0.45/0.88 (define @t50 () (@var "V_f5" $$unsorted)) % 0.45/0.88 (define @t51 () (@var "V_f4" $$unsorted)) % 0.45/0.88 (define @t52 () (@var "V_f3" $$unsorted)) % 0.45/0.88 (define @t53 () (@var "V_f2" $$unsorted)) % 0.45/0.88 (define @t54 () (@var "V_f1" $$unsorted)) % 0.45/0.88 (define @t55 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t44 @t43 @t42 @t1)) % 0.45/0.88 (define @t56 () (@var "V_s" $$unsorted)) % 0.45/0.88 (define @t57 () (@var "V_b" $$unsorted)) % 0.45/0.88 (define @t58 () (tptp.hBOOL (tptp.hAPP @t57 @t56))) % 0.45/0.88 (define @t59 () (not @t58)) % 0.45/0.88 (define @t60 () (@var "V_s1" $$unsorted)) % 0.45/0.88 (define @t61 () (@var "V_n" $$unsorted)) % 0.45/0.88 (define @t62 () (@var "V_c0" $$unsorted)) % 0.45/0.88 (define @t63 () (@var "V_c1" $$unsorted)) % 0.45/0.88 (define @t64 () (tptp.c_Com_Ocom_OCond @t57 @t62 @t63)) % 0.45/0.88 (define @t65 () (tptp.c_Natural_Oevaln @t64 @t56 @t61 @t60)) % 0.45/0.88 (define @t66 () (@list @t57 @t62 @t63 @t56 @t61 @t60)) % 0.45/0.88 (define @t67 () (@var "V_t" $$unsorted)) % 0.45/0.88 (define @t68 () (@var "V_c2" $$unsorted)) % 0.45/0.88 (define @t69 () (tptp.c_Com_Ocom_OCond @t57 @t63 @t68)) % 0.45/0.88 (define @t70 () (not (tptp.c_Natural_Oevaln @t69 @t56 @t61 @t67))) % 0.45/0.88 (define @t71 () (tptp.c_Natural_Oevaln @t63 @t56 @t61 @t67)) % 0.45/0.88 (define @t72 () (@var "V_y" $$unsorted)) % 0.45/0.88 (define @t73 () (tptp.c_Set_Oinsert @t72 @t18 @t1)) % 0.45/0.88 (define @t74 () (@var "V_S" $$unsorted)) % 0.45/0.88 (define @t75 () (tptp.hBOOL (tptp.hAPP @t74 @t32))) % 0.45/0.88 (define @t76 () (tptp.hBOOL (tptp.hAPP @t35 @t74))) % 0.45/0.88 (define @t77 () (@var "V_Q" $$unsorted)) % 0.45/0.88 (define @t78 () (@var "V_R" $$unsorted)) % 0.45/0.88 (define @t79 () (@var "V_P" $$unsorted)) % 0.45/0.88 (define @t80 () (tptp.hAPP @t79 @t78)) % 0.45/0.88 (define @t81 () (@var "T_c" $$unsorted)) % 0.45/0.88 (define @t82 () (@list @t79 @t77 @t17 @t81 @t1 @t78)) % 0.45/0.88 (define @t83 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t36 @t22)) % 0.45/0.88 (define @t84 () (@list @t18 @t36 @t1)) % 0.45/0.88 (define @t85 () (tptp.hAPP (tptp.hAPP @t53 @t44) @t42)) % 0.45/0.88 (define @t86 () (tptp.c_Com_Ocom_OAss @t44 @t42)) % 0.45/0.88 (define @t87 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t44 @t42 @t1)) % 0.45/0.88 (define @t88 () (tptp.tc_fun @t17 tptp.tc_bool)) % 0.45/0.88 (define @t89 () (tptp.c_Orderings_Otop__class_Otop @t88)) % 0.45/0.88 (define @t90 () (tptp.hAPP @t19 @t32)) % 0.45/0.88 (define @t91 () (tptp.hAPP @t34 @t90)) % 0.45/0.88 (define @t92 () (@var "V_s0" $$unsorted)) % 0.45/0.88 (define @t93 () (not (tptp.hBOOL (tptp.hAPP @t57 @t92)))) % 0.45/0.88 (define @t94 () (@var "V_c" $$unsorted)) % 0.45/0.88 (define @t95 () (@var "V_s2" $$unsorted)) % 0.45/0.88 (define @t96 () (tptp.c_Com_Ocom_OWhile @t57 @t94)) % 0.45/0.88 (define @t97 () (tptp.c_Option_Ooption_ONone @t1)) % 0.45/0.88 (define @t98 () (@var "V_a_H" $$unsorted)) % 0.45/0.88 (define @t99 () (tptp.c_Option_Ooption_OSome @t98 @t1)) % 0.45/0.88 (define @t100 () (@var "V_xa" $$unsorted)) % 0.45/0.88 (define @t101 () (tptp.c_Set_Oinsert @t32 @t23 @t1)) % 0.45/0.88 (define @t102 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t32 @t1)) % 0.45/0.88 (define @t103 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.45/0.88 (define @t104 () (@var "V_y_H" $$unsorted)) % 0.45/0.88 (define @t105 () (@var "V_x_H" $$unsorted)) % 0.45/0.88 (define @t106 () (tptp.c_HOL_Ominus__class_Ominus @t105 @t104 @t1)) % 0.45/0.88 (define @t107 () (tptp.c_Com_Ocom_OSemi @t62 @t63)) % 0.45/0.88 (define @t108 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t36 @t88)) % 0.45/0.88 (define @t109 () (tptp.c_Set_Oimage @t19 @t36 @t17 @t1)) % 0.45/0.88 (define @t110 () (tptp.c_Set_Oimage @t19 @t18 @t17 @t1)) % 0.45/0.88 (define @t111 () (@list @t19 @t18 @t17 @t1 @t36)) % 0.45/0.88 (define @t112 () (@var "V_X" $$unsorted)) % 0.45/0.88 (define @t113 () (@list @t19 @t1 @t17)) % 0.45/0.88 (define @t114 () (= @t32 @t72)) % 0.45/0.88 (define @t115 () (tptp.hBOOL (tptp.hAPP @t35 @t18))) % 0.45/0.88 (define @t116 () (not @t115)) % 0.45/0.88 (define @t117 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t72) @t18)))) % 0.45/0.88 (define @t118 () (not (= @t90 (tptp.hAPP @t19 @t72)))) % 0.45/0.88 (define @t119 () (@list @t19 @t32 @t72 @t1 @t18 @t17)) % 0.45/0.88 (define @t120 () (@var "V_pn" $$unsorted)) % 0.45/0.88 (define @t121 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t120)) % 0.45/0.88 (define @t122 () (tptp.c_Com_OWT @t121)) % 0.45/0.88 (define @t123 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t79)) % 0.45/0.88 (define @t124 () (tptp.c_lessequals @t18 @t36 @t22)) % 0.45/0.88 (define @t125 () (not @t124)) % 0.45/0.88 (define @t126 () (tptp.c_HOL_Ominus__class_Ominus @t36 @t18 @t22)) % 0.45/0.88 (define @t127 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t126 @t22)) % 0.45/0.88 (define @t128 () (@var "V_com2_H" $$unsorted)) % 0.45/0.88 (define @t129 () (@var "V_com1_H" $$unsorted)) % 0.45/0.88 (define @t130 () (tptp.c_Com_Ocom_OCond @t13 @t129 @t128)) % 0.45/0.88 (define @t131 () (@list @t13 @t129 @t128)) % 0.45/0.88 (define @t132 () (tptp.c_Set_Oinsert @t2 @t25 @t1)) % 0.45/0.88 (define @t133 () (@list @t2 @t18 @t1)) % 0.45/0.88 (define @t134 () (= @t2 @t57)) % 0.45/0.88 (define @t135 () (tptp.c_Set_Oinsert @t57 @t23 @t1)) % 0.45/0.88 (define @t136 () (not (tptp.hBOOL (tptp.hAPP @t35 @t23)))) % 0.45/0.88 (define @t137 () (tptp.hBOOL (tptp.hAPP @t79 @t32))) % 0.45/0.88 (define @t138 () (not @t137)) % 0.45/0.88 (define @t139 () (@list @t79 @t32 @t1)) % 0.45/0.88 (define @t140 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t72 @t1)) % 0.45/0.88 (define @t141 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.45/0.88 (define @t142 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.45/0.88 (define @t143 () (@list @t1 @t32 @t72)) % 0.45/0.88 (define @t144 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t57 @t1)) % 0.45/0.88 (define @t145 () (not (= @t144 @t3))) % 0.45/0.88 (define @t146 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.45/0.88 (define @t147 () (@list @t1 @t2 @t57)) % 0.45/0.88 (define @t148 () (tptp.c_COMBC @t34 @t74 @t1 @t22 tptp.tc_bool)) % 0.45/0.88 (define @t149 () (tptp.c_COMBC @t34 @t78 @t1 @t22 tptp.tc_bool)) % 0.45/0.88 (define @t150 () (@list @t1 @t78 @t74)) % 0.45/0.88 (define @t151 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.45/0.88 (define @t152 () (@var "V_ts" $$unsorted)) % 0.45/0.88 (define @t153 () (@var "V_G" $$unsorted)) % 0.45/0.88 (define @t154 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert @t67 @t152 @t151) @t1)) % 0.45/0.88 (define @t155 () (not @t154)) % 0.45/0.88 (define @t156 () (tptp.tc_fun @t151 tptp.tc_bool)) % 0.45/0.88 (define @t157 () (tptp.c_Orderings_Obot__class_Obot @t156)) % 0.45/0.88 (define @t158 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert @t67 @t157 @t151) @t1)) % 0.45/0.88 (define @t159 () (tptp.hAPP @t34 @t94)) % 0.45/0.88 (define @t160 () (tptp.hBOOL (tptp.hAPP @t159 @t18))) % 0.45/0.88 (define @t161 () (not @t160)) % 0.45/0.88 (define @t162 () (tptp.hBOOL (tptp.hAPP @t159 @t36))) % 0.45/0.88 (define @t163 () (tptp.hBOOL (tptp.hAPP @t159 @t83))) % 0.45/0.88 (define @t164 () (@list @t1 @t94 @t18 @t36)) % 0.45/0.88 (define @t165 () (@var "V_com" $$unsorted)) % 0.45/0.88 (define @t166 () (@var "V_loc" $$unsorted)) % 0.45/0.88 (define @t167 () (tptp.c_Com_Ocom_OLocal @t166 @t42 @t165)) % 0.45/0.88 (define @t168 () (tptp.c_Orderings_Otop__class_Otop @t22)) % 0.45/0.88 (define @t169 () (not (tptp.c_Fun_Oinj__on @t19 @t168 @t1 @t17))) % 0.45/0.88 (define @t170 () (tptp.c_Set_Oimage @t19 @t36 @t1 @t17)) % 0.45/0.88 (define @t171 () (tptp.c_Set_Oimage @t19 @t18 @t1 @t17)) % 0.45/0.88 (define @t172 () (= (tptp.c_Set_Oimage @t19 @t83 @t1 @t17) (tptp.c_HOL_Ominus__class_Ominus @t171 @t170 @t88))) % 0.45/0.88 (define @t173 () (@list @t19 @t18 @t36 @t1 @t17)) % 0.45/0.88 (define @t174 () (tptp.c_lessequals @t33 @t36 @t22)) % 0.45/0.88 (define @t175 () (not @t174)) % 0.45/0.88 (define @t176 () (tptp.hBOOL (tptp.hAPP @t35 @t36))) % 0.45/0.88 (define @t177 () (@list @t1 @t32 @t36 @t18)) % 0.45/0.88 (define @t178 () (tptp.c_Com_Ocom_OWhile @t42 @t165)) % 0.45/0.88 (define @t179 () (tptp.hBOOL (tptp.hAPP @t18 @t32))) % 0.45/0.88 (define @t180 () (not @t179)) % 0.45/0.88 (define @t181 () (tptp.hBOOL (tptp.hAPP @t73 @t32))) % 0.45/0.88 (define @t182 () (tptp.c_lessequals @t18 @t39 @t22)) % 0.45/0.88 (define @t183 () (@list @t18 @t32 @t36 @t1)) % 0.45/0.88 (define @t184 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.45/0.88 (define @t185 () (tptp.tc_fun @t184 tptp.tc_bool)) % 0.45/0.88 (define @t186 () (tptp.c_Orderings_Obot__class_Obot @t185)) % 0.45/0.88 (define @t187 () (tptp.c_Hoare__Mirabelle_OMGT @t94)) % 0.45/0.88 (define @t188 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate)) % 0.45/0.88 (define @t189 () (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t188 @t79) @t94) @t77) @t186 @t184)) % 0.45/0.88 (define @t190 () (@var "V_g" $$unsorted)) % 0.45/0.88 (define @t191 () (tptp.c_Fun_Oid @t17)) % 0.45/0.88 (define @t192 () (tptp.c_Fun_Ocomp @t190 @t19 @t81 @t17 @t1)) % 0.45/0.88 (define @t193 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 @t32) @t18)))) % 0.45/0.88 (define @t194 () (not @t182)) % 0.45/0.88 (define @t195 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t18 @t101 @t22) @t36 @t22)) % 0.45/0.88 (define @t196 () (not @t195)) % 0.45/0.88 (define @t197 () (tptp.c_lessequals @t171 @t170 @t88)) % 0.45/0.88 (define @t198 () (@list @t19 @t18 @t1 @t17 @t36)) % 0.45/0.88 (define @t199 () (not @t31)) % 0.45/0.88 (define @t200 () (tptp.c_Com_Ocom_OCond @t42 @t11 @t10)) % 0.45/0.88 (define @t201 () (not @t176)) % 0.45/0.88 (define @t202 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t36 @t22)) % 0.45/0.88 (define @t203 () (@list @t32 @t18 @t1 @t36)) % 0.45/0.88 (define @t204 () (@list @t18 @t36 @t1 @t32)) % 0.45/0.88 (define @t205 () (tptp.c_Set_Oinsert @t57 @t36 @t1)) % 0.45/0.88 (define @t206 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t1)) % 0.45/0.88 (define @t207 () (tptp.c_Com_Ocom_OSemi @t129 @t128)) % 0.45/0.88 (define @t208 () (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t165 @t1)) % 0.45/0.88 (define @t209 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t52 @t166) @t42) @t165)) % 0.45/0.88 (define @t210 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t166 @t42 @t165 @t1)) % 0.45/0.88 (define @t211 () (= @t42 @t13)) % 0.45/0.88 (define @t212 () (not (= @t47 @t16))) % 0.45/0.88 (define @t213 () (@list @t44 @t43 @t42 @t15 @t14 @t13)) % 0.45/0.88 (define @t214 () (= @t43 @t14)) % 0.45/0.88 (define @t215 () (= @t44 @t15)) % 0.45/0.88 (define @t216 () (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t10 @t1)) % 0.45/0.88 (define @t217 () (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t11 @t1)) % 0.45/0.88 (define @t218 () (tptp.hAPP (tptp.hAPP @t51 @t11) @t10)) % 0.45/0.88 (define @t219 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t11 @t10 @t1)) % 0.45/0.88 (define @t220 () (tptp.tc_fun tptp.t_a @t17)) % 0.45/0.88 (define @t221 () (@list @t17)) % 0.45/0.88 (define @t222 () (@var "V_com_H" $$unsorted)) % 0.45/0.88 (define @t223 () (tptp.c_Com_Ocom_OWhile @t13 @t222)) % 0.45/0.88 (define @t224 () (@list @t13 @t222)) % 0.45/0.88 (define @t225 () (tptp.c_Set_Ovimage @t19 @t36 @t1 @t17)) % 0.45/0.88 (define @t226 () (tptp.c_Set_Ovimage @t19 @t18 @t1 @t17)) % 0.45/0.88 (define @t227 () (@list @t19 @t18 @t36 @t17 @t1)) % 0.45/0.88 (define @t228 () (@var "V_nat_H" $$unsorted)) % 0.45/0.88 (define @t229 () (tptp.c_Suc @t228)) % 0.45/0.88 (define @t230 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.45/0.88 (define @t231 () (@list @t228)) % 0.45/0.88 (define @t232 () (@var "V_m" $$unsorted)) % 0.45/0.88 (define @t233 () (tptp.c_Suc @t232)) % 0.45/0.88 (define @t234 () (@list @t232)) % 0.45/0.88 (define @t235 () (tptp.c_Set_Ovimage @t19 @t18 @t17 @t1)) % 0.45/0.88 (define @t236 () (@list @t19 @t18 @t17 @t1)) % 0.45/0.88 (define @t237 () (@list @t1)) % 0.45/0.88 (define @t238 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.45/0.88 (define @t239 () (@list @t1 @t32)) % 0.45/0.88 (define @t240 () (= @t10 @t128)) % 0.45/0.88 (define @t241 () (not (= @t12 @t207))) % 0.45/0.88 (define @t242 () (@list @t11 @t10 @t129 @t128)) % 0.45/0.88 (define @t243 () (= @t11 @t129)) % 0.45/0.88 (define @t244 () (@list @t19 @t17 @t1)) % 0.45/0.88 (define @t245 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t37 @t22)) % 0.45/0.88 (define @t246 () (@list @t18 @t2 @t36 @t1)) % 0.45/0.88 (define @t247 () (@var "T_aa" $$unsorted)) % 0.45/0.88 (define @t248 () (tptp.c_in @t247)) % 0.45/0.88 (define @t249 () (tptp.c_Suc @t61)) % 0.45/0.88 (define @t250 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.45/0.88 (define @t251 () (= @t5 @t3)) % 0.45/0.88 (define @t252 () (@list @t32 @t18 @t1)) % 0.45/0.88 (define @t253 () (@var "V_loc_H" $$unsorted)) % 0.45/0.88 (define @t254 () (tptp.c_Com_Ocom_OLocal @t253 @t13 @t222)) % 0.45/0.88 (define @t255 () (not @t163)) % 0.45/0.88 (define @t256 () (not @t162)) % 0.45/0.88 (define @t257 () (@list @t1 @t94 @t36 @t18)) % 0.45/0.88 (define @t258 () (not (= @t200 @t130))) % 0.45/0.88 (define @t259 () (@list @t42 @t11 @t10 @t13 @t129 @t128)) % 0.45/0.88 (define @t260 () (= @t102 @t3)) % 0.45/0.88 (define @t261 () (@list @t18 @t1)) % 0.45/0.88 (define @t262 () (tptp.hAPP @t190 @t32)) % 0.45/0.88 (define @t263 () (tptp.hAPP @t19 @t262)) % 0.45/0.88 (define @t264 () (tptp.hAPP (tptp.c_Fun_Ocomp @t19 @t190 @t17 @t1 @t81) @t32)) % 0.45/0.88 (define @t265 () (@var "V_v" $$unsorted)) % 0.45/0.88 (define @t266 () (tptp.c_Fun_Ocomp @t2 @t57 @t81 @t17 @t1)) % 0.45/0.88 (define @t267 () (tptp.hAPP @t2 (tptp.hAPP @t57 @t265))) % 0.45/0.88 (define @t268 () (tptp.hBOOL (tptp.hAPP @t28 @t171))) % 0.45/0.88 (define @t269 () (tptp.hBOOL (tptp.hAPP @t38 @t18))) % 0.45/0.88 (define @t270 () (not @t269)) % 0.45/0.88 (define @t271 () (@list @t17 @t19 @t2 @t18 @t1)) % 0.45/0.88 (define @t272 () (@var "V_nat" $$unsorted)) % 0.45/0.88 (define @t273 () (tptp.hAPP tptp.v_f tptp.v_x)) % 0.45/0.88 (define @t274 () (not (tptp.c_Com_OWT @t62))) % 0.45/0.88 (define @t275 () (tptp.c_Com_OWT @t63)) % 0.45/0.88 (define @t276 () (not @t275)) % 0.45/0.88 (define @t277 () (= @t18 @t36)) % 0.45/0.88 (define @t278 () (not (= @t171 @t170))) % 0.45/0.88 (define @t279 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t1)) % 0.45/0.88 (define @t280 () (tptp.hAPP @t279 @t79)) % 0.45/0.88 (define @t281 () (@var "V_d" $$unsorted)) % 0.45/0.88 (define @t282 () (@list @t253 @t13 @t222)) % 0.45/0.88 (define @t283 () (@var "V_s_H" $$unsorted)) % 0.45/0.88 (define @t284 () (not (tptp.c_Natural_Oevaln @t94 @t56 @t61 @t283))) % 0.45/0.88 (define @t285 () (@var "V_C" $$unsorted)) % 0.45/0.88 (define @t286 () (tptp.c_lessequals @t18 @t285 @t22)) % 0.45/0.88 (define @t287 () (not @t286)) % 0.45/0.88 (define @t288 () (@var "V_D" $$unsorted)) % 0.45/0.88 (define @t289 () (@list @t18 @t36 @t1 @t285 @t288)) % 0.45/0.88 (define @t290 () (tptp.hBOOL (tptp.hAPP @t38 (tptp.c_Set_Oinsert @t57 @t18 @t1)))) % 0.45/0.88 (define @t291 () (tptp.c_Natural_Oevaln @t68 @t56 @t61 @t67)) % 0.45/0.88 (define @t292 () (tptp.c_Set_Ovimage @t19 @t36 @t17 @t1)) % 0.45/0.88 (define @t293 () (tptp.hBOOL (tptp.hAPP @t28 @t36))) % 0.45/0.88 (define @t294 () (tptp.hBOOL (tptp.hAPP @t38 @t225))) % 0.45/0.88 (define @t295 () (tptp.hAPP @t34 @t26)) % 0.45/0.88 (define @t296 () (tptp.hAPP @t27 @t2)) % 0.45/0.88 (define @t297 () (not (= @t178 @t223))) % 0.45/0.88 (define @t298 () (@list @t42 @t165 @t13 @t222)) % 0.45/0.88 (define @t299 () (= @t165 @t222)) % 0.45/0.88 (define @t300 () (tptp.c_Com_OWT @t94)) % 0.45/0.88 (define @t301 () (not @t300)) % 0.45/0.88 (define @t302 () (tptp.c_Com_OWT @t96)) % 0.45/0.88 (define @t303 () (@var "V_Y" $$unsorted)) % 0.45/0.88 (define @t304 () (tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t303 @t2 @t94))) % 0.45/0.88 (define @t305 () (not (tptp.c_Natural_Oevaln @t123 @t56 @t61 @t60))) % 0.45/0.88 (define @t306 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @t79 @t61 @t56 @t60)) % 0.45/0.88 (define @t307 () (tptp.hAPP (tptp.hAPP @t49 @t42) @t165)) % 0.45/0.88 (define @t308 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t42 @t165 @t1)) % 0.45/0.88 (define @t309 () (@list @t19 @t36 @t1 @t17 @t18)) % 0.45/0.88 (define @t310 () (= @t67 @t56)) % 0.45/0.88 (define @t311 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t285 @t22)) % 0.45/0.88 (define @t312 () (tptp.c_lessequals @t18 @t311 @t22)) % 0.45/0.88 (define @t313 () (tptp.c_lessequals @t83 @t285 @t22)) % 0.45/0.88 (define @t314 () (@list @t18 @t36 @t1 @t285)) % 0.45/0.88 (define @t315 () (@list @t18 @t36 @t285 @t1)) % 0.45/0.88 (define @t316 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t50 @t42) @t11) @t10)) % 0.45/0.88 (define @t317 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t42 @t11 @t10 @t1)) % 0.45/0.88 (define @t318 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t57 @t1)) % 0.45/0.88 (define @t319 () (tptp.c_lessequals @t318 @t32 @t1)) % 0.45/0.88 (define @t320 () (not @t319)) % 0.45/0.88 (define @t321 () (tptp.c_lessequals @t2 @t32 @t1)) % 0.45/0.88 (define @t322 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.45/0.88 (define @t323 () (tptp.c_lessequals @t57 @t32 @t1)) % 0.45/0.88 (define @t324 () (tptp.c_lessequals @t32 @t318 @t1)) % 0.45/0.88 (define @t325 () (@list @t1 @t32 @t2 @t57)) % 0.45/0.88 (define @t326 () (@var "V_z" $$unsorted)) % 0.45/0.88 (define @t327 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t72 @t1)) % 0.45/0.88 (define @t328 () (tptp.c_lessequals @t327 @t326 @t1)) % 0.45/0.88 (define @t329 () (not @t328)) % 0.45/0.88 (define @t330 () (tptp.c_lessequals @t32 @t326 @t1)) % 0.45/0.88 (define @t331 () (@list @t1 @t32 @t326 @t72)) % 0.45/0.88 (define @t332 () (tptp.c_lessequals @t72 @t326 @t1)) % 0.45/0.88 (define @t333 () (@list @t1 @t72 @t326 @t32)) % 0.45/0.88 (define @t334 () (tptp.c_lessequals @t32 @t72 @t1)) % 0.45/0.88 (define @t335 () (not @t334)) % 0.45/0.88 (define @t336 () (= @t327 @t72)) % 0.45/0.88 (define @t337 () (tptp.c_lessequals @t72 @t32 @t1)) % 0.45/0.88 (define @t338 () (not @t337)) % 0.45/0.88 (define @t339 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.45/0.88 (define @t340 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.45/0.88 (define @t341 () (tptp.c_lessequals @t32 @t327 @t1)) % 0.45/0.88 (define @t342 () (tptp.c_lessequals @t72 @t327 @t1)) % 0.45/0.88 (define @t343 () (@list @t1 @t72 @t32)) % 0.45/0.88 (define @t344 () (tptp.c_lessequals @t326 @t32 @t1)) % 0.45/0.88 (define @t345 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t326 @t1)) % 0.45/0.88 (define @t346 () (not @t332)) % 0.45/0.88 (define @t347 () (@list @t1 @t32 @t72 @t326)) % 0.45/0.88 (define @t348 () (not (tptp.class_Lattices_Olattice @t1))) % 0.45/0.88 (define @t349 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t36 @t1) @t238))) % 0.45/0.88 (define @t350 () (@list @t1 @t18 @t36)) % 0.45/0.88 (define @t351 () (tptp.c_Orderings_Obot__class_Obot @t88)) % 0.45/0.88 (define @t352 () (= @t18 @t351)) % 0.45/0.88 (define @t353 () (@var "V_r" $$unsorted)) % 0.45/0.88 (define @t354 () (tptp.c_Set_Oinsert @t2 @t36 @t17)) % 0.45/0.88 (define @t355 () (@list @t19 @t2 @t36 @t17 @t1)) % 0.45/0.88 (define @t356 () (tptp.c_Set_Oimage @t19 @t351 @t17 @t1)) % 0.45/0.88 (define @t357 () (tptp.hBOOL (tptp.hAPP @t91 @t110))) % 0.45/0.88 (define @t358 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t36 @t22)) % 0.45/0.88 (define @t359 () (tptp.c_lessequals @t358 @t285 @t22)) % 0.45/0.88 (define @t360 () (not @t359)) % 0.45/0.88 (define @t361 () (tptp.c_lessequals @t36 @t285 @t22)) % 0.45/0.88 (define @t362 () (@list @t18 @t285 @t1 @t36)) % 0.45/0.88 (define @t363 () (tptp.hBOOL (tptp.hAPP @t159 @t358))) % 0.45/0.88 (define @t364 () (= @t358 @t36)) % 0.45/0.88 (define @t365 () (not (tptp.c_lessequals @t36 @t18 @t22))) % 0.45/0.88 (define @t366 () (@list @t1 @t36)) % 0.45/0.88 (define @t367 () (not @t361)) % 0.45/0.88 (define @t368 () (@list @t36 @t18 @t1)) % 0.45/0.88 (define @t369 () (tptp.c_lessequals @t149 @t148 @t22)) % 0.45/0.88 (define @t370 () (tptp.c_lessequals @t78 @t74 @t22)) % 0.45/0.88 (define @t371 () (not (tptp.class_Orderings_Oorder @t1))) % 0.45/0.88 (define @t372 () (tptp.c_lessequals @t144 @t3 @t1)) % 0.45/0.88 (define @t373 () (tptp.c_lessequals @t2 @t57 @t1)) % 0.45/0.88 (define @t374 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.45/0.88 (define @t375 () (= @t2 @t94)) % 0.45/0.88 (define @t376 () (= @t2 @t281)) % 0.45/0.88 (define @t377 () (not (= (tptp.c_Set_Oinsert @t2 @t135 @t1) (tptp.c_Set_Oinsert @t94 (tptp.c_Set_Oinsert @t281 @t23 @t1) @t1)))) % 0.45/0.88 (define @t378 () (@list @t2 @t57 @t1 @t94 @t281)) % 0.45/0.88 (define @t379 () (= @t57 @t94)) % 0.45/0.88 (define @t380 () (= @t57 @t281)) % 0.45/0.88 (define @t381 () (@var "V_Z" $$unsorted)) % 0.45/0.88 (define @t382 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.45/0.88 (define @t383 () (tptp.c_Orderings_Obot__class_Obot @t382)) % 0.45/0.88 (define @t384 () (tptp.c_in tptp.t_a)) % 0.45/0.88 (define @t385 () (tptp.hAPP @t384 tptp.v_x)) % 0.45/0.88 (define @t386 () (tptp.c_Com_Ocom_OAss @t15 @t13)) % 0.45/0.88 (define @t387 () (@list @t15 @t13)) % 0.45/0.88 (define @t388 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t63 @t68)))) % 0.45/0.88 (define @t389 () (tptp.c_Com_OWT @t68)) % 0.45/0.88 (define @t390 () (= @t18 @t23)) % 0.45/0.88 (define @t391 () (@var "T_d" $$unsorted)) % 0.45/0.88 (define @t392 () (@var "V_h" $$unsorted)) % 0.45/0.88 (define @t393 () (not (= @t86 @t386))) % 0.45/0.88 (define @t394 () (@list @t44 @t42 @t15 @t13)) % 0.45/0.88 (define @t395 () (@list @t129 @t128)) % 0.45/0.88 (define @t396 () (not (= @t167 @t254))) % 0.45/0.88 (define @t397 () (@list @t166 @t42 @t165 @t253 @t13 @t222)) % 0.45/0.88 (define @t398 () (@list @t15 @t14 @t13)) % 0.45/0.88 (define @t399 () (@list @t61)) % 0.45/0.88 (define @t400 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.45/0.88 (define @t401 () (tptp.hAPP @t34 @t67)) % 0.45/0.88 (define @t402 () (tptp.c_Fun_Oinj__on @t19 @t36 @t1 @t17)) % 0.45/0.88 (define @t403 () (not (tptp.c_lessequals @t79 @t77 @t22))) % 0.45/0.88 (define @t404 () (tptp.hBOOL (tptp.hAPP @t77 @t32))) % 0.45/0.88 (define @t405 () (@list @t77 @t32 @t79 @t1)) % 0.45/0.88 (define @t406 () (tptp.c_lessequals @t32 @t32 @t1)) % 0.45/0.88 (define @t407 () (@var "T_e" $$unsorted)) % 0.45/0.88 (define @t408 () (@var "V_g_H" $$unsorted)) % 0.45/0.88 (define @t409 () (@var "V_f_H" $$unsorted)) % 0.45/0.88 (define @t410 () (tptp.hBOOL (tptp.hAPP @t226 @t32))) % 0.45/0.88 (define @t411 () (tptp.hBOOL (tptp.hAPP @t18 @t90))) % 0.45/0.88 (define @t412 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 @t152 @t1)) % 0.45/0.88 (define @t413 () (not @t412)) % 0.45/0.88 (define @t414 () (tptp.c_lessequals @t104 @t105 @t1)) % 0.45/0.88 (define @t415 () (not (= @t140 @t106))) % 0.45/0.88 (define @t416 () (@list @t1 @t32 @t72 @t105 @t104)) % 0.45/0.88 (define @t417 () (not (tptp.c_Com_OWT @t69))) % 0.45/0.88 (define @t418 () (not (= @t358 @t23))) % 0.45/0.88 (define @t419 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t18 @t22)) % 0.45/0.88 (define @t420 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t36 @t88)) % 0.45/0.88 (define @t421 () (not (tptp.c_Fun_Oinj__on @t19 @t358 @t1 @t17))) % 0.45/0.88 (define @t422 () (tptp.hAPP @t190 tptp.v_x)) % 0.45/0.88 (define @t423 () (@list @t19 @t190 @t81 @t17)) % 0.45/0.88 (define @t424 () (tptp.hAPP @t19 tptp.v_x)) % 0.45/0.88 (define @t425 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t14)) % 0.45/0.88 (define @t426 () (@list @t14)) % 0.45/0.88 (define @t427 () (tptp.hAPP @t48 @t43)) % 0.45/0.88 (define @t428 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t43)) % 0.45/0.88 (define @t429 () (@list @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t43 @t1)) % 0.45/0.88 (define @t430 () (tptp.hAPP (tptp.hAPP @t280 @t121) @t77)) % 0.45/0.88 (define @t431 () (@var "V_xc" $$unsorted)) % 0.45/0.88 (define @t432 () (@var "V_xb" $$unsorted)) % 0.45/0.88 (define @t433 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b)) % 0.45/0.88 (define @t434 () (@var "V_fun2" $$unsorted)) % 0.45/0.88 (define @t435 () (@var "V_fun1" $$unsorted)) % 0.45/0.88 (define @t436 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t54 @t435) @t165) @t434)) % 0.45/0.88 (define @t437 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t17) @t435) @t165) @t434)) % 0.45/0.88 (define @t438 () (@list @t54 @t17 @t435 @t165 @t434 @t1)) % 0.45/0.88 (define @t439 () (@var "V_ts_H" $$unsorted)) % 0.45/0.88 (define @t440 () (@var "V_G_H" $$unsorted)) % 0.45/0.88 (define @t441 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t440 @t152 @t1))) % 0.45/0.88 (define @t442 () (@list @t153 @t152 @t1 @t440)) % 0.45/0.88 (define @t443 () (@list @t153 @t152 @t1)) % 0.45/0.88 (define @t444 () (tptp.hAPP tptp.c_Com_Obody @t120)) % 0.45/0.88 (define @t445 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t69) @t56) @t67)))) % 0.45/0.88 (define @t446 () (tptp.hAPP tptp.c_Natural_Oevalc @t63)) % 0.45/0.88 (define @t447 () (tptp.hAPP @t446 @t56)) % 0.45/0.88 (define @t448 () (tptp.hBOOL (tptp.hAPP @t447 @t67))) % 0.45/0.88 (define @t449 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t68) @t56) @t67))) % 0.45/0.88 (define @t450 () (tptp.hAPP tptp.c_Natural_Oevalc @t96)) % 0.45/0.88 (define @t451 () (tptp.hAPP @t450 @t56)) % 0.45/0.88 (define @t452 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t64) @t56) @t60))) % 0.45/0.88 (define @t453 () (@list @t57 @t62 @t63 @t56 @t60)) % 0.45/0.88 (define @t454 () (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP) @t56)) % 0.45/0.88 (define @t455 () (tptp.hAPP tptp.c_Natural_Oevalc @t94)) % 0.45/0.88 (define @t456 () (tptp.hAPP tptp.c_Natural_Oevalc @t62)) % 0.45/0.88 (define @t457 () (tptp.hAPP @t455 @t56)) % 0.45/0.88 (define @t458 () (tptp.hBOOL (tptp.hAPP @t457 @t67))) % 0.45/0.88 (define @t459 () (tptp.hAPP @t188 (tptp.c_fequal tptp.tc_Com_Ostate))) % 0.45/0.88 (define @t460 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 0.45/0.88 (define @t461 () (tptp.hAPP @t460 @t444)) % 0.45/0.88 (define @t462 () (tptp.c_Hoare__Mirabelle_OMGT @t121)) % 0.45/0.88 (define @t463 () (tptp.hAPP @t460 (tptp.hAPP tptp.c_Com_Obody @t79))) % 0.45/0.88 (define @t464 () (tptp.hAPP (tptp.hAPP @t280 @t461) @t77)) % 0.45/0.88 (define @t465 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t61 @t464 @t1)) % 0.45/0.88 (define @t466 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t249 @t430 @t1)) % 0.45/0.88 (define @t467 () (@list @t61 @t1 @t79 @t120 @t77)) % 0.45/0.88 (define @t468 () (@var "V_Procs" $$unsorted)) % 0.45/0.88 (define @t469 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 0.45/0.88 (define @t470 () (tptp.tc_fun @t1 @t469)) % 0.45/0.88 (define @t471 () (tptp.tc_fun @t470 @t151)) % 0.45/0.88 (define @t472 () (tptp.c_COMBB @t460 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname)) % 0.45/0.88 (define @t473 () (tptp.c_COMBB @t279 @t79 @t470 (tptp.tc_fun tptp.tc_Com_Ocom @t471) tptp.tc_Com_Opname)) % 0.45/0.88 (define @t474 () (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS @t473 @t472 tptp.tc_Com_Opname tptp.tc_Com_Ocom @t471) @t77 tptp.tc_Com_Opname @t470 @t151) @t468 tptp.tc_Com_Opname @t151)) % 0.45/0.88 (define @t475 () (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS @t473 tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom @t471) @t77 tptp.tc_Com_Opname @t470 @t151) @t468 tptp.tc_Com_Opname @t151)) % 0.45/0.88 (define @t476 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 @t475 @t156)) % 0.45/0.88 (define @t477 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t476 @t474 @t1))) % 0.45/0.88 (define @t478 () (tptp.c_Set_Oinsert @t464 @t157 @t151)) % 0.45/0.88 (define @t479 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert @t430 @t157 @t151) @t1)) % 0.45/0.88 (define @t480 () (@list @t153 @t1 @t79 @t120 @t77)) % 0.45/0.88 (define @t481 () (@list @t153 @t1 @t79 @t77 @t468)) % 0.45/0.88 (define @t482 () (forall (@list @t120 @t92 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t121) @t92) @t60)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t461) @t92) @t60)))))) % 0.45/0.88 (define @t483 () (@var "V_fun2_H" $$unsorted)) % 0.45/0.88 (define @t484 () (@var "V_fun1_H" $$unsorted)) % 0.45/0.88 (define @t485 () (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t279 @t435) @t165) @t434) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t279 @t484) @t222) @t483)))) % 0.45/0.88 (define @t486 () (@list @t1 @t435 @t165 @t434 @t484 @t222 @t483)) % 0.45/0.88 (define @t487 () (@var "V_u" $$unsorted)) % 0.45/0.88 (define @t488 () (tptp.hBOOL (tptp.hAPP @t358 @t32))) % 0.45/0.88 (define @t489 () (tptp.hBOOL (tptp.hAPP @t36 @t32))) % 0.45/0.88 (define @t490 () (tptp.hAPP @t77 @t78)) % 0.45/0.88 (define @t491 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t311 @t22)) % 0.45/0.88 (define @t492 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t345 @t1)) % 0.45/0.88 (define @t493 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t327 @t326 @t1) @t492)) % 0.45/0.88 (define @t494 () (= @t492 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t326 @t1) @t1))) % 0.45/0.88 (define @t495 () (= @t327 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t32 @t1))) % 0.45/0.88 (define @t496 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t327 @t1) @t327)) % 0.45/0.88 (define @t497 () (tptp.tc_fun tptp.tc_Com_Ostate @t469)) % 0.45/0.88 (define @t498 () (tptp.tc_fun @t497 @t184)) % 0.45/0.88 (define @t499 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc (tptp.hAPP @t460 (tptp.hAPP tptp.c_Com_Obody tptp.v_pn))) tptp.v_x) tptp.v_xa))) % 0.45/0.88 (define @t500 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_pn)) tptp.v_x) tptp.v_xa))) % 0.45/0.88 (define @t501 () (@var "T_1" $$unsorted)) % 0.45/0.88 (define @t502 () (not (tptp.class_Lattices_Olattice @t501))) % 0.45/0.88 (define @t503 () (@var "T_2" $$unsorted)) % 0.45/0.88 (define @t504 () (tptp.tc_fun @t503 @t501)) % 0.45/0.88 (define @t505 () (@list @t503 @t501)) % 0.45/0.88 (define @t506 () (tptp.c_fequal @t1)) % 0.45/0.88 (define @t507 () (not @t499)) % 0.45/0.88 (define @t508 () (or @t500 @t507)) % 0.45/0.88 (define @t509 () (not @t508)) % 0.45/0.88 (define @t510 () (@list true false)) % 0.45/0.88 (assume @p1 (forall @t8 (or @t7 @t6 (not @t4)))) % 0.45/0.88 (assume @p2 (forall @t8 (or @t7 (not @t6) @t4))) % 0.45/0.88 (assume @p3 (= (tptp.hAPP (tptp.c_Fun_Ocomp tptp.v_f tptp.v_g tptp.t_a tptp.t_b tptp.t_c) tptp.v_x) (tptp.hAPP tptp.v_f @t9))) % 0.45/0.88 (assume @p4 (forall (@list @t15 @t14 @t13 @t11 @t10) (not (= @t16 @t12)))) % 0.45/0.88 (assume @p5 (forall (@list @t19 @t2 @t18 @t1 @t17) (or @t31 @t29 @t21))) % 0.45/0.88 (assume @p6 (forall (@list @t1 @t32 @t18) (tptp.hBOOL (tptp.hAPP @t35 @t33)))) % 0.45/0.88 (assume @p7 (forall (@list @t1 @t2 @t36) (tptp.hBOOL (tptp.hAPP @t38 @t37)))) % 0.45/0.88 (assume @p8 (forall (@list @t1 @t32 @t36) (tptp.hBOOL (tptp.hAPP @t35 @t39)))) % 0.45/0.88 (assume @p9 (forall @t41 (tptp.c_Fun_Oinj__on @t40 @t18 @t1 @t1))) % 0.45/0.88 (assume @p10 (forall @t55 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t47 @t1) @t46))) % 0.45/0.88 (assume @p11 (forall @t66 (or @t65 (not (tptp.c_Natural_Oevaln @t62 @t56 @t61 @t60)) @t59))) % 0.45/0.88 (assume @p12 (forall (@list @t57 @t56 @t63 @t61 @t67 @t68) (or @t59 @t71 @t70))) % 0.45/0.88 (assume @p13 (forall (@list @t32 @t72 @t18 @t1) (= (tptp.c_Set_Oinsert @t32 @t73 @t1) (tptp.c_Set_Oinsert @t72 @t33 @t1)))) % 0.45/0.88 (assume @p14 (forall (@list @t1 @t32 @t74) (or @t76 (not @t75)))) % 0.45/0.88 (assume @p15 (forall (@list @t74 @t32 @t1) (or @t75 (not @t76)))) % 0.45/0.88 (assume @p16 (forall @t82 (= (tptp.hAPP (tptp.c_COMBC @t79 @t77 @t17 @t81 @t1) @t78) (tptp.hAPP @t80 @t77)))) % 0.45/0.88 (assume @p17 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t83 @t36 @t22) @t83))) % 0.45/0.88 (assume @p18 (forall @t87 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t86 @t1) @t85))) % 0.45/0.88 (assume @p19 (forall (@list @t1 @t19 @t32 @t17) (tptp.hBOOL (tptp.hAPP @t91 (tptp.c_Set_Oimage @t19 @t89 @t17 @t1))))) % 0.45/0.88 (assume @p20 (forall (@list @t57 @t94 @t92 @t61 @t95 @t60) (or (tptp.c_Natural_Oevaln @t96 @t92 @t61 @t95) (not (tptp.c_Natural_Oevaln @t96 @t60 @t61 @t95)) (not (tptp.c_Natural_Oevaln @t94 @t92 @t61 @t60)) @t93))) % 0.45/0.88 (assume @p21 (forall (@list @t1 @t72) (not (= @t97 (tptp.c_Option_Ooption_OSome @t72 @t1))))) % 0.45/0.88 (assume @p22 (forall (@list @t1 @t98) (not (= @t97 @t99)))) % 0.45/0.88 (assume @p23 (forall (@list @t100 @t32 @t1) (= (tptp.c_Set_Oinsert @t100 @t101 @t1) (tptp.c_Set_Oinsert @t32 (tptp.c_Set_Oinsert @t100 @t23 @t1) @t1)))) % 0.45/0.88 (assume @p24 (forall (@list @t1 @t100 @t72 @t32) (or @t103 (not (= (tptp.c_HOL_Ominus__class_Ominus @t100 @t72 @t1) @t102)) (= @t100 @t72)))) % 0.45/0.88 (assume @p25 (forall (@list @t1 @t32 @t105 @t104) (or @t103 (not (= @t102 @t106)) (= @t105 @t104)))) % 0.45/0.88 (assume @p26 (forall (@list @t62 @t63 @t92 @t61 @t95 @t60) (or (tptp.c_Natural_Oevaln @t107 @t92 @t61 @t95) (not (tptp.c_Natural_Oevaln @t63 @t60 @t61 @t95)) (not (tptp.c_Natural_Oevaln @t62 @t92 @t61 @t60))))) % 0.45/0.88 (assume @p27 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.45/0.88 (assume @p28 (forall @t111 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t110 @t109 @t22) (tptp.c_Set_Oimage @t19 @t108 @t17 @t1) @t22))) % 0.45/0.88 (assume @p29 (forall (@list @t112 @t2) (tptp.c_Com_OWT (tptp.c_Com_Ocom_OAss @t112 @t2)))) % 0.45/0.88 (assume @p30 (forall @t113 (tptp.c_Fun_Oinj__on @t19 @t23 @t1 @t17))) % 0.45/0.88 (assume @p31 (forall @t119 (or @t118 @t117 @t116 @t114 @t21))) % 0.45/0.88 (assume @p32 (forall @t119 (or @t118 @t117 @t116 @t21 @t114))) % 0.45/0.88 (assume @p33 (forall (@list @t19 @t32 @t100 @t1 @t18 @t17) (or (not (= @t90 (tptp.hAPP @t19 @t100))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t100) @t18))) @t116 @t21 (= @t32 @t100)))) % 0.45/0.88 (assume @p34 (forall (@list @t19 @t32 @t72 @t18 @t1 @t17) (or @t118 @t21 @t114 @t117 @t116))) % 0.45/0.88 (assume @p35 (forall (@list @t112 @t120 @t2) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t112 @t120 @t2)) (not @t122)))) % 0.45/0.88 (assume @p36 (forall (@list @t79 @t112 @t2) (or (tptp.c_Com_OWT @t123) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t112 @t79 @t2)))))) % 0.45/0.88 (assume @p37 (forall @t84 (or (= @t127 @t36) @t125))) % 0.45/0.88 (assume @p38 (forall @t131 (not (= tptp.c_Com_Ocom_OSKIP @t130)))) % 0.45/0.88 (assume @p39 (forall (@list @t44 @t42 @t15 @t14 @t13) (not (= @t86 @t16)))) % 0.45/0.88 (assume @p40 (forall @t84 (tptp.c_lessequals @t83 @t18 @t22))) % 0.45/0.88 (assume @p41 (forall @t133 (= @t132 @t30))) % 0.45/0.88 (assume @p42 (forall (@list @t2 @t1 @t57) (or (not (= @t24 @t135)) @t134))) % 0.45/0.88 (assume @p43 (forall @t139 (or @t138 @t136))) % 0.45/0.88 (assume @p44 (forall @t143 (or @t142 @t141 (not (= @t140 @t3)) @t114))) % 0.45/0.88 (assume @p45 (forall @t147 (or @t146 @t145 @t134))) % 0.45/0.88 (assume @p46 (forall @t147 (or @t103 @t145 @t134))) % 0.45/0.88 (assume @p47 (forall @t150 (or (not (= @t149 @t148)) (= @t78 @t74)))) % 0.45/0.88 (assume @p48 (forall (@list @t32 @t100 @t1) (or (not (= (tptp.c_Set_Oinsert @t32 @t100 @t1) @t23)) (tptp.hBOOL (tptp.hAPP @t35 @t100))))) % 0.45/0.88 (assume @p49 (forall (@list @t153 @t67 @t1 @t152) (or @t158 @t155))) % 0.45/0.88 (assume @p50 (forall @t164 (or @t163 @t162 @t161))) % 0.45/0.88 (assume @p51 (forall (@list @t15 @t14 @t13 @t166 @t42 @t165) (not (= @t16 @t167)))) % 0.45/0.88 (assume @p52 (forall @t173 (or @t172 @t169))) % 0.45/0.88 (assume @p53 (forall @t177 (or @t176 @t175))) % 0.45/0.88 (assume @p54 (forall (@list @t15 @t14 @t13 @t42 @t165) (not (= @t16 @t178)))) % 0.45/0.88 (assume @p55 (forall (@list @t72 @t18 @t1 @t32) (or @t181 @t180))) % 0.45/0.88 (assume @p56 (forall (@list @t19 @t32 @t18 @t1 @t17) (or (= (tptp.c_Set_Oinsert @t90 @t171 @t17) @t171) @t116))) % 0.45/0.88 (assume @p57 (forall @t183 (or @t182 @t125 @t115))) % 0.45/0.88 (assume @p58 (forall (@list @t79 @t94 @t77) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t186 @t189 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t186 @t189 tptp.tc_Com_Ostate)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t186 (tptp.c_Set_Oinsert @t187 @t186 @t184) tptp.tc_Com_Ostate))))) % 0.45/0.88 (assume @p59 (forall (@list @t17 @t190 @t1) (= (tptp.c_Fun_Ocomp @t191 @t190 @t17 @t17 @t1) @t190))) % 0.45/0.88 (assume @p60 (forall @t113 (= (tptp.c_Fun_Ocomp @t19 @t40 @t1 @t17 @t1) @t19))) % 0.45/0.88 (assume @p61 (forall (@list @t190 @t19 @t18 @t1 @t81 @t17) (or (tptp.c_Fun_Oinj__on @t190 (tptp.c_Set_Oimage @t19 @t18 @t1 @t81) @t81 @t17) (not (tptp.c_Fun_Oinj__on @t192 @t18 @t1 @t17))))) % 0.45/0.88 (assume @p62 (forall (@list @t57 @t2 @t1) (or (= @t57 @t2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t57) @t24)))))) % 0.45/0.88 (assume @p63 (forall (@list @t1 @t19 @t32 @t36 @t17 @t18) (or (tptp.hBOOL (tptp.hAPP @t91 @t36)) @t193 (not (tptp.c_lessequals @t110 @t36 @t22))))) % 0.45/0.88 (assume @p64 (forall (@list @t18 @t32 @t1 @t36) (or @t195 @t116 @t194))) % 0.45/0.88 (assume @p65 (forall @t183 (or @t182 @t116 @t196))) % 0.45/0.88 (assume @p66 (forall (@list @t57 @t94 @t56 @t61) (or (tptp.c_Natural_Oevaln @t96 @t56 @t61 @t56) @t58))) % 0.45/0.88 (assume @p67 (forall (@list @t18 @t36 @t1 @t19 @t17) (or @t124 (not @t197) @t169))) % 0.45/0.88 (assume @p68 (forall @t198 (or @t197 @t125 @t169))) % 0.45/0.88 (assume @p69 (forall (@list @t19 @t18 @t1 @t17 @t2) (or @t20 @t199))) % 0.45/0.88 (assume @p70 (forall (@list @t42 @t11 @t10 @t15 @t14 @t13) (not (= @t200 @t16)))) % 0.45/0.88 (assume @p71 (forall @t203 (or (= @t202 @t83) @t201))) % 0.45/0.88 (assume @p72 (forall (@list @t166 @t42 @t165 @t13 @t129 @t128) (not (= @t167 @t130)))) % 0.45/0.88 (assume @p73 (forall @t204 (or @t124 @t175))) % 0.45/0.88 (assume @p74 (forall (@list @t18 @t57 @t36 @t1) (or (tptp.c_lessequals @t18 @t205 @t22) @t125))) % 0.45/0.88 (assume @p75 (forall @t206 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 tptp.c_Com_Ocom_OSKIP @t1) @t54))) % 0.45/0.88 (assume @p76 (forall (@list @t44 @t42 @t129 @t128) (not (= @t86 @t207)))) % 0.45/0.88 (assume @p77 (forall @t210 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t167 @t1) (tptp.hAPP @t209 @t208)))) % 0.45/0.88 (assume @p78 (forall @t213 (or @t212 @t211))) % 0.45/0.88 (assume @p79 (forall @t213 (or @t212 @t214))) % 0.45/0.88 (assume @p80 (forall @t213 (or @t212 @t215))) % 0.45/0.88 (assume @p81 (forall @t219 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t12 @t1) (tptp.hAPP (tptp.hAPP @t218 @t217) @t216)))) % 0.45/0.88 (assume @p82 (forall @t221 (or (not (tptp.class_Orderings_Obot @t17)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t220) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t17))))) % 0.45/0.88 (assume @p83 (forall @t224 (not (= @t223 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p84 (forall @t173 (or (tptp.c_Fun_Oinj__on @t19 @t83 @t1 @t17) @t21))) % 0.45/0.88 (assume @p85 (forall (@list @t13 @t222 @t166 @t42 @t165) (not (= @t223 @t167)))) % 0.45/0.88 (assume @p86 (forall @t227 (= (tptp.c_Set_Ovimage @t19 @t108 @t1 @t17) (tptp.c_HOL_Ominus__class_Ominus @t226 @t225 @t22)))) % 0.45/0.88 (assume @p87 (forall @t231 (not (= @t230 @t229)))) % 0.45/0.88 (assume @p88 (forall @t234 (not (= @t230 @t233)))) % 0.45/0.88 (assume @p89 (forall @t236 (tptp.c_lessequals (tptp.c_Set_Oimage @t19 @t235 @t17 @t1) @t18 @t22))) % 0.45/0.88 (assume @p90 (forall (@list @t19 @t18 @t1 @t17) (or (= (tptp.c_Set_Ovimage @t19 @t171 @t1 @t17) @t18) @t169))) % 0.45/0.88 (assume @p91 (forall @t237 (or @t7 (= (tptp.c_OrderedGroup_Olordered__ab__group__add__class_Opprt @t3 @t1) @t3)))) % 0.45/0.88 (assume @p92 (forall @t41 (tptp.c_lessequals @t23 @t18 @t22))) % 0.45/0.88 (assume @p93 (forall @t239 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t238 @t32 @t1)))) % 0.45/0.88 (assume @p94 (forall @t242 (or @t241 @t240))) % 0.45/0.88 (assume @p95 (forall @t242 (or @t241 @t243))) % 0.45/0.88 (assume @p96 (forall @t244 (= (tptp.c_Set_Ovimage @t19 @t89 @t1 @t17) @t168))) % 0.45/0.88 (assume @p97 (forall (@list @t11 @t10 @t13 @t222) (not (= @t12 @t223)))) % 0.45/0.88 (assume @p98 (forall @t246 (= @t245 (tptp.c_HOL_Ominus__class_Ominus @t83 @t24 @t22)))) % 0.45/0.88 (assume @p99 (forall @t246 (= @t245 (tptp.c_HOL_Ominus__class_Ominus @t25 @t36 @t22)))) % 0.45/0.88 (assume @p100 (forall (@list @t11 @t10 @t13 @t129 @t128) (not (= @t12 @t130)))) % 0.45/0.88 (assume @p101 (forall @t133 (not (= @t30 @t23)))) % 0.45/0.88 (assume @p102 (forall (@list @t129 @t128 @t166 @t42 @t165) (not (= @t207 @t167)))) % 0.45/0.88 (assume @p103 (forall (@list @t247 @t2 @t19 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 @t2) (tptp.c_Set_Ovimage @t19 (tptp.c_Set_Oinsert @t26 @t23 @t1) @t247 @t1))))) % 0.45/0.88 (assume @p104 (forall (@list @t61 @t67 @t1) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t61 @t67 @t1) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t249 @t67 @t1))))) % 0.45/0.88 (assume @p105 (forall @t8 (or @t7 (not @t251) @t250))) % 0.45/0.88 (assume @p106 (forall @t8 (or @t7 @t251 (not @t250)))) % 0.45/0.88 (assume @p107 (forall @t252 (= (tptp.c_Set_Oinsert @t32 @t33 @t1) @t33))) % 0.45/0.88 (assume @p108 (forall (@list @t253 @t13 @t222 @t44 @t42) (not (= @t254 @t86)))) % 0.45/0.88 (assume @p109 (forall (@list @t18 @t32 @t72 @t1) (or @t179 (= @t72 @t32) (not @t181)))) % 0.45/0.88 (assume @p110 (forall (@list @t42 @t11 @t10 @t13 @t222) (not (= @t200 @t223)))) % 0.45/0.88 (assume @p111 (forall @t164 (or @t160 @t255))) % 0.45/0.88 (assume @p112 (forall (@list @t13 @t129 @t128 @t166 @t42 @t165) (not (= @t130 @t167)))) % 0.45/0.88 (assume @p113 (forall @t257 (or @t256 @t255))) % 0.45/0.88 (assume @p114 (forall (@list @t36 @t2 @t1) (tptp.c_lessequals @t36 @t37 @t22))) % 0.45/0.88 (assume @p115 (forall (@list @t13 @t129 @t128 @t11 @t10) (not (= @t130 @t12)))) % 0.45/0.88 (assume @p116 (forall @t259 (or @t258 @t240))) % 0.45/0.88 (assume @p117 (forall @t259 (or @t258 @t243))) % 0.45/0.88 (assume @p118 (forall @t259 (or @t258 @t211))) % 0.45/0.88 (assume @p119 (forall @t239 (or @t103 @t260))) % 0.45/0.88 (assume @p120 (forall @t239 (or @t146 @t260))) % 0.45/0.88 (assume @p121 (forall @t8 (or @t146 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1) @t2)))) % 0.45/0.88 (assume @p122 (forall @t8 (or @t146 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1) @t3)))) % 0.45/0.88 (assume @p123 (forall @t239 (or @t142 @t141 @t260))) % 0.45/0.88 (assume @p124 (forall @t239 (tptp.hBOOL (tptp.hAPP @t35 @t168)))) % 0.45/0.88 (assume @p125 (forall (@list @t98 @t1) (not (= @t99 @t97)))) % 0.45/0.88 (assume @p126 (forall (@list @t100 @t1) (not (= (tptp.c_Option_Ooption_OSome @t100 @t1) @t97)))) % 0.45/0.88 (assume @p127 (forall (@list @t15 @t14 @t13 @t42 @t11 @t10) (not (= @t16 @t200)))) % 0.45/0.88 (assume @p128 (forall (@list @t2 @t1 @t98) (or (not (= (tptp.c_Option_Ooption_OSome @t2 @t1) @t99)) (= @t2 @t98)))) % 0.45/0.88 (assume @p129 (forall @t261 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t23 @t22) @t18))) % 0.45/0.88 (assume @p130 (forall @t261 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t18 @t22) @t23))) % 0.45/0.88 (assume @p131 (forall (@list @t19 @t190 @t17 @t1 @t81 @t32) (= @t264 @t263))) % 0.45/0.88 (assume @p132 (forall (@list @t2 @t57 @t265 @t81 @t17 @t1) (= @t267 (tptp.hAPP @t266 @t265)))) % 0.45/0.88 (assume @p133 (forall (@list @t1 @t2 @t18 @t17 @t19) (or @t269 (not @t268) @t169))) % 0.45/0.88 (assume @p134 (forall @t271 (or @t268 @t270 @t169))) % 0.45/0.88 (assume @p135 (forall (@list @t32 @t72) (or (not (= (tptp.c_Suc @t32) (tptp.c_Suc @t72))) @t114))) % 0.45/0.88 (assume @p136 (forall (@list @t272 @t228) (or (not (= (tptp.c_Suc @t272) @t229)) (= @t272 @t228)))) % 0.45/0.88 (assume @p137 (forall (@list @t44 @t42 @t13 @t222) (not (= @t86 @t223)))) % 0.45/0.88 (assume @p138 (forall (@list @t44 @t42 @t253 @t13 @t222) (not (= @t86 @t254)))) % 0.45/0.88 (assume @p139 (forall (@list @t19 @t32 @t72 @t1 @t17) (or @t118 @t169 @t114))) % 0.45/0.88 (assume @p140 (= (tptp.hAPP (tptp.c_Fun_Ofcomp tptp.v_f tptp.v_g tptp.t_a tptp.t_b tptp.t_c) tptp.v_x) (tptp.hAPP tptp.v_g @t273))) % 0.45/0.88 (assume @p141 (forall (@list @t57 @t62 @t63) (or (tptp.c_Com_OWT @t64) @t276 @t274))) % 0.45/0.88 (assume @p142 (forall @t206 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 tptp.c_Com_Ocom_OSKIP @t1) @t54))) % 0.45/0.88 (assume @p143 (forall (@list @t166 @t42 @t165 @t13 @t222) (not (= @t167 @t223)))) % 0.45/0.88 (assume @p144 (forall @t41 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t18 @t22) @t23))) % 0.45/0.88 (assume @p145 (forall @t198 (or @t278 @t169 @t277))) % 0.45/0.88 (assume @p146 (forall (@list @t44 @t42 @t13 @t129 @t128) (not (= @t86 @t130)))) % 0.45/0.88 (assume @p147 (forall (@list @t153 @t1 @t79 @t94 @t281 @t78 @t77) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t280 (tptp.c_Com_Ocom_OSemi @t94 @t281)) @t78) @t157 @t151) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t279 @t77) @t281) @t78) @t157 @t151) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t280 @t94) @t77) @t157 @t151) @t1))))) % 0.45/0.88 (assume @p148 (forall @t224 (not (= tptp.c_Com_Ocom_OSKIP @t223)))) % 0.45/0.88 (assume @p149 (forall @t239 (not (tptp.hBOOL (tptp.hAPP @t23 @t32))))) % 0.45/0.88 (assume @p150 (forall @t282 (not (= tptp.c_Com_Ocom_OSKIP @t254)))) % 0.45/0.88 (assume @p151 (forall @t237 (not (= @t168 @t23)))) % 0.45/0.88 (assume @p152 (forall (@list @t94 @t56 @t61 @t283) (or (tptp.c_Natural_Oevaln @t94 @t56 @t249 @t283) @t284))) % 0.45/0.88 (assume @p153 (forall @t289 (or (tptp.c_lessequals @t83 (tptp.c_HOL_Ominus__class_Ominus @t285 @t288 @t22) @t22) (not (tptp.c_lessequals @t288 @t36 @t22)) @t287))) % 0.45/0.88 (assume @p154 (forall @t239 (tptp.hBOOL (tptp.hAPP @t168 @t32)))) % 0.45/0.88 (assume @p155 (forall (@list @t1 @t2 @t18 @t57) (or @t269 @t134 (not @t290)))) % 0.45/0.88 (assume @p156 (forall @t221 (or (not (tptp.class_Orderings_Otop @t17)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t220) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t17))))) % 0.45/0.88 (assume @p157 (forall (@list @t68 @t56 @t61 @t67 @t57 @t63) (or @t291 @t58 @t70))) % 0.45/0.88 (assume @p158 (forall @t204 (or @t124 @t115 @t194))) % 0.45/0.88 (assume @p159 (forall @t204 (or @t124 @t194 @t115))) % 0.45/0.88 (assume @p160 (forall @t203 (or (not (= @t33 @t39)) @t176 @t115 @t277))) % 0.45/0.88 (assume @p161 (forall @t111 (or (tptp.c_lessequals @t235 @t292 @t88) @t125))) % 0.45/0.88 (assume @p162 (forall (@list @t2 @t57 @t81 @t17 @t1 @t94 @t265) (or (not (= @t266 (tptp.c_Fun_Ocomp @t191 @t94 @t17 @t17 @t1))) (= @t267 (tptp.hAPP @t94 @t265))))) % 0.45/0.88 (assume @p163 (forall (@list @t17 @t18 @t36) (or (not (tptp.class_HOL_Ominus @t17)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t18 @t36 @t220) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t18 tptp.v_x) (tptp.hAPP @t36 tptp.v_x) @t17))))) % 0.45/0.88 (assume @p164 (forall @t41 (= (tptp.c_Set_Ovimage @t40 @t18 @t1 @t1) @t18))) % 0.45/0.88 (assume @p165 (forall @t219 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t12 @t1) @t218))) % 0.45/0.88 (assume @p166 (forall (@list @t166 @t42 @t165 @t129 @t128) (not (= @t167 @t207)))) % 0.45/0.88 (assume @p167 (forall (@list @t190 @t19 @t81 @t17 @t1 @t32) (= (tptp.c_Set_Ovimage @t192 @t32 @t1 @t17) (tptp.c_Set_Ovimage @t19 (tptp.c_Set_Ovimage @t190 @t32 @t81 @t17) @t1 @t81)))) % 0.45/0.88 (assume @p168 (forall (@list @t1 @t2 @t19 @t36 @t17) (or @t294 (not @t293)))) % 0.45/0.88 (assume @p169 (forall (@list @t17 @t2 @t19 @t18 @t1) (or (tptp.hBOOL (tptp.hAPP @t296 @t235)) (not (tptp.hBOOL (tptp.hAPP @t295 @t18)))))) % 0.45/0.88 (assume @p170 (forall (@list @t17 @t2 @t19 @t36 @t1) (or (tptp.hBOOL (tptp.hAPP @t296 @t292)) (not (tptp.hBOOL (tptp.hAPP @t295 @t36)))))) % 0.45/0.88 (assume @p171 (forall (@list @t17 @t19 @t2 @t36 @t1) (or @t293 (not @t294)))) % 0.45/0.88 (assume @p172 (forall @t271 (or (tptp.hBOOL (tptp.hAPP @t28 @t18)) (not (tptp.hBOOL (tptp.hAPP @t38 @t226)))))) % 0.45/0.88 (assume @p173 (forall @t298 (or @t297 @t211))) % 0.45/0.88 (assume @p174 (forall @t298 (or @t297 @t299))) % 0.45/0.88 (assume @p175 (forall (@list @t57 @t94) (or @t302 @t301))) % 0.45/0.88 (assume @p176 (forall (@list @t94 @t57) (or @t300 (not @t302)))) % 0.45/0.88 (assume @p177 (forall @t55 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t47 @t1) @t46))) % 0.45/0.88 (assume @p178 (forall @t133 (or (= @t30 @t18) @t270))) % 0.45/0.88 (assume @p179 (forall @t133 (= @t30 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t18 @t22)))) % 0.45/0.88 (assume @p180 (forall (@list @t190 @t19 @t17 @t81 @t1 @t18) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t190 @t19 @t17 @t81 @t1) @t18 @t1 @t81) (not (tptp.c_Fun_Oinj__on @t190 @t171 @t17 @t81)) @t21))) % 0.45/0.88 (assume @p181 (forall (@list @t303 @t2 @t94) (or @t304 @t301))) % 0.45/0.88 (assume @p182 (forall (@list @t94 @t303 @t2) (or @t300 (not @t304)))) % 0.45/0.88 (assume @p183 (forall @t8 (or @t7 (tptp.c_lessequals @t3 @t5 @t1)))) % 0.45/0.88 (assume @p184 (forall @t131 (not (= @t130 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p185 (forall (@list @t13 @t222 @t42 @t11 @t10) (not (= @t223 @t200)))) % 0.45/0.88 (assume @p186 (forall (@list @t11 @t10 @t15 @t14 @t13) (not (= @t12 @t16)))) % 0.45/0.88 (assume @p187 (forall (@list @t61 @t79 @t56 @t60) (or (= @t61 (tptp.c_Suc @t306)) @t305))) % 0.45/0.88 (assume @p188 (forall @t271 (or (not @t29) @t199))) % 0.45/0.88 (assume @p189 (forall @t87 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t86 @t1) @t85))) % 0.45/0.88 (assume @p190 (forall (@list @t13 @t129 @t128 @t44 @t42) (not (= @t130 @t86)))) % 0.45/0.88 (assume @p191 (forall @t203 (or (= @t202 (tptp.c_Set_Oinsert @t32 @t83 @t1)) @t176))) % 0.45/0.88 (assume @p192 (forall @t183 (or @t182 @t125 @t196))) % 0.45/0.88 (assume @p193 (forall @t308 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t178 @t1) (tptp.hAPP @t307 @t208)))) % 0.45/0.88 (assume @p194 (forall @t309 (or (tptp.c_lessequals @t225 @t18 @t22) (not (tptp.c_lessequals @t36 @t171 @t88)) @t169))) % 0.45/0.88 (assume @p195 (forall (@list @t67 @t56 @t61) (or @t310 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t56 @t61 @t67))))) % 0.45/0.88 (assume @p196 (forall @t252 (or (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t101 @t22) @t18) @t115))) % 0.45/0.88 (assume @p197 (forall @t239 (= (tptp.hAPP @t40 @t32) @t32))) % 0.45/0.88 (assume @p198 (forall @t314 (or @t313 (not @t312)))) % 0.45/0.88 (assume @p199 (forall @t315 (or @t312 (not @t313)))) % 0.45/0.88 (assume @p200 (forall @t317 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t200 @t1) (tptp.hAPP (tptp.hAPP @t316 @t217) @t216)))) % 0.45/0.88 (assume @p201 (forall (@list @t17 @t19 @t32 @t190 @t1) (or (not (tptp.class_HOL_Oord @t17)) (tptp.c_lessequals @t90 @t262 @t17) (not (tptp.c_lessequals @t19 @t190 (tptp.tc_fun @t1 @t17)))))) % 0.45/0.88 (assume @p202 (forall (@list @t1 @t2 @t32 @t57) (or @t322 @t321 @t320))) % 0.45/0.88 (assume @p203 (forall (@list @t1 @t57 @t32 @t2) (or @t322 @t323 @t320))) % 0.45/0.88 (assume @p204 (forall @t325 (or @t322 @t324 (not (tptp.c_lessequals @t32 @t2 @t1))))) % 0.45/0.88 (assume @p205 (forall @t325 (or @t322 @t324 (not (tptp.c_lessequals @t32 @t57 @t1))))) % 0.45/0.88 (assume @p206 (forall @t331 (or @t322 @t330 @t329))) % 0.45/0.88 (assume @p207 (forall @t333 (or @t322 @t332 @t329))) % 0.45/0.88 (assume @p208 (forall @t143 (or @t322 @t336 @t335))) % 0.45/0.88 (assume @p209 (forall @t143 (or @t322 (not @t336) @t334))) % 0.45/0.88 (assume @p210 (forall @t143 (or @t322 (= @t327 @t32) @t338))) % 0.45/0.88 (assume @p211 (forall @t239 (or @t339 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t238 @t32 @t1) @t32)))) % 0.45/0.88 (assume @p212 (forall @t239 (or @t339 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t238 @t1) @t32)))) % 0.45/0.88 (assume @p213 (forall @t239 (or @t339 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t340 @t32 @t1) @t340)))) % 0.45/0.88 (assume @p214 (forall @t239 (or @t339 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t340 @t1) @t340)))) % 0.45/0.88 (assume @p215 (forall (@list @t1 @t2 @t57 @t32) (or @t322 @t319 (not @t323) (not @t321)))) % 0.45/0.88 (assume @p216 (forall @t143 (or @t322 @t341))) % 0.45/0.88 (assume @p217 (forall @t343 (or @t322 @t342))) % 0.45/0.88 (assume @p218 (forall @t333 (or @t322 (tptp.c_lessequals @t345 @t32 @t1) (not @t344) @t338))) % 0.45/0.88 (assume @p219 (forall @t347 (or @t322 @t328 @t346 (not @t330)))) % 0.45/0.88 (assume @p220 (forall @t343 (or @t348 @t342))) % 0.45/0.88 (assume @p221 (forall @t143 (or @t348 @t341))) % 0.45/0.88 (assume @p222 (forall @t350 (or @t339 @t349 (= @t18 @t238)))) % 0.45/0.88 (assume @p223 (forall @t350 (or @t339 @t349 (= @t36 @t238)))) % 0.45/0.88 (assume @p224 (forall (@list @t32 @t18 @t17 @t19 @t1) (or (not (tptp.c_lessequals @t32 @t18 @t88)) (tptp.c_lessequals (tptp.c_Set_Oimage @t19 @t32 @t17 @t1) @t110 @t22)))) % 0.45/0.88 (assume @p225 (forall @t198 (or @t197 @t125))) % 0.45/0.88 (assume @p226 (forall @t236 (or (not (= @t110 @t23)) @t352))) % 0.45/0.88 (assume @p227 (forall (@list @t19 @t190 @t81 @t1 @t17 @t353) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t19 @t190 @t81 @t1 @t17) @t353 @t17 @t1) (tptp.c_Set_Oimage @t19 (tptp.c_Set_Oimage @t190 @t353 @t17 @t81) @t81 @t1)))) % 0.45/0.88 (assume @p228 (forall @t355 (= (tptp.c_Set_Oimage @t19 @t354 @t17 @t1) (tptp.c_Set_Oinsert @t26 @t109 @t1)))) % 0.45/0.88 (assume @p229 (forall (@list @t1 @t19 @t18 @t17) (or (not (= @t23 @t110)) @t352))) % 0.45/0.88 (assume @p230 (forall @t244 (= @t356 @t23))) % 0.45/0.88 (assume @p231 (forall (@list @t1 @t303) (= (tptp.c_Set_Oimage @t40 @t303 @t1 @t1) @t303))) % 0.45/0.88 (assume @p232 (forall (@list @t1 @t19 @t17) (= @t23 @t356))) % 0.45/0.88 (assume @p233 (forall (@list @t247 @t32 @t18 @t1 @t19) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 @t32) @t18))) (tptp.hBOOL (tptp.hAPP @t91 (tptp.c_Set_Oimage @t19 @t18 @t247 @t1)))))) % 0.45/0.88 (assume @p234 (forall (@list @t17 @t32 @t18 @t1 @t19) (or @t193 @t357))) % 0.45/0.88 (assume @p235 (forall (@list @t1 @t19 @t32 @t18 @t17) (or @t357 @t193))) % 0.45/0.88 (assume @p236 (forall (@list @t17 @t19 @t32 @t18 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 @t90) @t171)) @t116))) % 0.45/0.88 (assume @p237 (forall @t237 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t23 @t22) @t23))) % 0.45/0.88 (assume @p238 (forall (@list @t36 @t285 @t1 @t18) (or @t361 @t360))) % 0.45/0.88 (assume @p239 (forall @t362 (or @t286 @t360))) % 0.45/0.88 (assume @p240 (forall @t164 (or @t363 @t161))) % 0.45/0.88 (assume @p241 (forall @t164 (or @t363 @t256))) % 0.45/0.88 (assume @p242 (forall @t289 (or (tptp.c_lessequals @t358 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t285 @t288 @t22) @t22) (not (tptp.c_lessequals @t36 @t288 @t22)) @t287))) % 0.45/0.88 (assume @p243 (forall @t84 (or (not @t364) @t124))) % 0.45/0.88 (assume @p244 (forall @t84 (or (= @t358 @t18) @t365))) % 0.45/0.88 (assume @p245 (forall @t84 (or @t364 @t125))) % 0.45/0.88 (assume @p246 (forall @t261 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t23 @t22) @t18))) % 0.45/0.88 (assume @p247 (forall @t366 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t36 @t22) @t36))) % 0.45/0.88 (assume @p248 (forall @t257 (or @t162 @t160 (not @t363)))) % 0.45/0.88 (assume @p249 (forall @t261 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t168 @t22) @t168))) % 0.45/0.88 (assume @p250 (forall @t366 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t168 @t36 @t22) @t168))) % 0.45/0.88 (assume @p251 (forall @t246 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t37 @t22) (tptp.c_Set_Oinsert @t2 @t358 @t1)))) % 0.45/0.88 (assume @p252 (forall (@list @t2 @t36 @t1 @t285) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t285 @t22) (tptp.c_Set_Oinsert @t2 @t311 @t1)))) % 0.45/0.88 (assume @p253 (forall @t314 (or @t359 @t367 @t287))) % 0.45/0.88 (assume @p254 (forall @t368 (tptp.c_lessequals @t36 @t358 @t22))) % 0.45/0.88 (assume @p255 (forall @t84 (tptp.c_lessequals @t18 @t358 @t22))) % 0.45/0.88 (assume @p256 (forall @t66 (or @t65 (not (tptp.c_Natural_Oevaln @t63 @t56 @t61 @t60)) @t58))) % 0.45/0.88 (assume @p257 (forall (@list @t78 @t74 @t1) (or @t370 (not @t369)))) % 0.45/0.88 (assume @p258 (forall @t150 (or @t369 (not @t370)))) % 0.45/0.88 (assume @p259 (forall (@list @t42 @t165 @t15 @t14 @t13) (not (= @t178 @t16)))) % 0.45/0.88 (assume @p260 (forall (@list @t129 @t128 @t44 @t42) (not (= @t207 @t86)))) % 0.45/0.88 (assume @p261 (forall @t84 (or @t277 @t365 @t125))) % 0.45/0.88 (assume @p262 (forall @t143 (or @t371 @t114 @t338 @t335))) % 0.45/0.88 (assume @p263 (forall @t143 (or @t371 @t114 @t335 @t338))) % 0.45/0.88 (assume @p264 (forall @t147 (or @t374 @t373 (not @t372)))) % 0.45/0.88 (assume @p265 (forall @t147 (or @t374 @t372 (not @t373)))) % 0.45/0.88 (assume @p266 (forall @t282 (not (= @t254 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p267 (forall (@list @t56 @t61) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t56 @t61 @t56))) % 0.45/0.88 (assume @p268 (forall @t231 (not (= @t229 @t230)))) % 0.45/0.88 (assume @p269 (forall @t234 (not (= @t233 @t230)))) % 0.45/0.88 (assume @p270 (forall @t378 (or @t377 @t376 @t375))) % 0.45/0.88 (assume @p271 (forall @t378 (or @t377 @t379 @t375))) % 0.45/0.88 (assume @p272 (forall @t378 (or @t377 @t376 @t380))) % 0.45/0.88 (assume @p273 (forall @t378 (or @t377 @t379 @t380))) % 0.45/0.88 (assume @p274 (forall (@list @t77 @t381 @t283 @t94 @t56 @t61 @t79) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t381) @t283)) @t284 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t381) @t56))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t61 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_a) @t79) @t94) @t77) tptp.t_a))))) % 0.45/0.88 (assume @p275 (= (tptp.hAPP @t383 tptp.v_x) (tptp.hAPP @t385 @t383))) % 0.45/0.88 (assume @p276 (forall @t387 (not (= tptp.c_Com_Ocom_OSKIP @t386)))) % 0.45/0.88 (assume @p277 (forall (@list @t68 @t63) (or @t389 @t388))) % 0.45/0.88 (assume @p278 (forall (@list @t63 @t68) (or @t275 @t388))) % 0.45/0.88 (assume @p279 (forall @t261 (or @t390 (not (tptp.c_lessequals @t18 @t23 @t22))))) % 0.45/0.88 (assume @p280 (forall @t237 (tptp.c_lessequals @t23 @t23 @t22))) % 0.45/0.88 (assume @p281 (forall (@list @t13 @t222 @t44 @t42) (not (= @t223 @t86)))) % 0.45/0.88 (assume @p282 (forall (@list @t1 @t2 @t18) (not (= @t23 @t30)))) % 0.45/0.88 (assume @p283 (forall @t210 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t167 @t1) @t209))) % 0.45/0.88 (assume @p284 (forall @t308 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t178 @t1) @t307))) % 0.45/0.88 (assume @p285 (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t38 @t23))))) % 0.45/0.88 (assume @p286 (forall (@list @t1 @t94) (not (tptp.hBOOL (tptp.hAPP @t159 @t23))))) % 0.45/0.88 (assume @p287 (forall @t139 (or @t137 @t136))) % 0.45/0.88 (assume @p288 (forall @t239 @t136)) % 0.45/0.88 (assume @p289 (forall @t261 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t168 @t22) @t23))) % 0.45/0.88 (assume @p290 (forall (@list @t19 @t190 @t17 @t81 @t1 @t32) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t19 @t190 @t17 @t81 @t1) @t32) (tptp.hAPP @t190 @t90)))) % 0.45/0.88 (assume @p291 (forall (@list @t19 @t2 @t57 @t1 @t17) (or (= @t26 @t57) (not (tptp.hBOOL (tptp.hAPP @t38 (tptp.c_Set_Ovimage @t19 (tptp.c_Set_Oinsert @t57 @t351 @t17) @t1 @t17))))))) % 0.45/0.88 (assume @p292 (forall @t261 (tptp.c_lessequals @t18 @t168 @t22))) % 0.45/0.88 (assume @p293 (forall @t239 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t32 @t340 @t1)))) % 0.45/0.88 (assume @p294 (forall (@list @t19 @t190 @t392 @t391 @t81 @t1 @t17) (= (tptp.c_Fun_Ocomp @t19 (tptp.c_Fun_Ocomp @t190 @t392 @t391 @t81 @t1) @t81 @t17 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t19 @t190 @t81 @t17 @t391) @t392 @t391 @t17 @t1)))) % 0.45/0.88 (assume @p295 (forall @t394 (or @t393 @t211))) % 0.45/0.88 (assume @p296 (forall @t394 (or @t393 @t215))) % 0.45/0.88 (assume @p297 (forall (@list @t15 @t14 @t13 @t44 @t42) (not (= @t16 @t86)))) % 0.45/0.88 (assume @p298 (forall @t395 (not (= @t207 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p299 (forall (@list @t153 @t1 @t79) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t280 tptp.c_Com_Ocom_OSKIP) @t79) @t157 @t151) @t1))) % 0.45/0.88 (assume @p300 (forall @t252 (tptp.hBOOL (tptp.hAPP @t33 @t32)))) % 0.45/0.88 (assume @p301 (forall @t203 (or @t174 @t125 @t201))) % 0.45/0.88 (assume @p302 (forall @t397 (or @t396 @t299))) % 0.45/0.88 (assume @p303 (forall @t397 (or @t396 @t211))) % 0.45/0.88 (assume @p304 (forall @t397 (or @t396 (= @t166 @t253)))) % 0.45/0.88 (assume @p305 (forall (@list @t62 @t63) (or (tptp.c_Com_OWT @t107) @t276 @t274))) % 0.45/0.88 (assume @p306 (forall @t398 (not (= tptp.c_Com_Ocom_OSKIP @t16)))) % 0.45/0.88 (assume @p307 (forall @t244 (= (tptp.c_Fun_Ofcomp @t19 @t191 @t1 @t17 @t17) @t19))) % 0.45/0.88 (assume @p308 (forall (@list @t1 @t190 @t17) (= (tptp.c_Fun_Ofcomp @t40 @t190 @t1 @t1 @t17) @t190))) % 0.45/0.88 (assume @p309 (forall (@list @t13 @t222 @t11 @t10) (not (= @t223 @t12)))) % 0.45/0.88 (assume @p310 (forall @t399 (not (= @t249 @t61)))) % 0.45/0.88 (assume @p311 (forall @t399 (not (= @t61 @t249)))) % 0.45/0.88 (assume @p312 (forall @t133 (or (= @t132 @t18) @t270))) % 0.45/0.88 (assume @p313 (forall (@list @t1 @t326 @t32 @t72) (or @t371 @t344 (not (tptp.c_lessequals @t326 @t72 @t1)) @t338))) % 0.45/0.88 (assume @p314 (forall @t331 (or @t400 @t330 @t346 @t335))) % 0.45/0.88 (assume @p315 (forall @t177 (or @t176 @t116 @t125))) % 0.45/0.88 (assume @p316 (forall @t257 (or @t162 @t161 @t125))) % 0.45/0.88 (assume @p317 (forall (@list @t32 @t1) (tptp.c_lessequals @t32 @t32 @t22))) % 0.45/0.88 (assume @p318 (forall @t177 (or @t176 @t125 @t116))) % 0.45/0.88 (assume @p319 (forall (@list @t1 @t67 @t36 @t18) (or (tptp.hBOOL (tptp.hAPP @t401 @t36)) (not (tptp.hBOOL (tptp.hAPP @t401 @t18))) @t125))) % 0.45/0.88 (assume @p320 (forall @t261 (tptp.c_lessequals @t18 @t18 @t22))) % 0.45/0.88 (assume @p321 (forall @t362 (or @t286 @t367 @t125))) % 0.45/0.88 (assume @p322 (forall @t198 (or @t20 @t125 (not @t402)))) % 0.45/0.88 (assume @p323 (forall @t405 (or @t404 @t138 @t403))) % 0.45/0.88 (assume @p324 (forall @t239 (or @t371 @t406))) % 0.45/0.88 (assume @p325 (forall @t239 (or @t400 @t406))) % 0.45/0.88 (assume @p326 (forall @t405 (or @t404 @t403 @t138))) % 0.45/0.88 (assume @p327 (forall @t398 (not (= @t16 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p328 (forall (@list @t1 @t2 @t57 @t36) (or (tptp.hBOOL (tptp.hAPP @t38 @t205)) (not (tptp.hBOOL (tptp.hAPP @t38 @t36)))))) % 0.45/0.88 (assume @p329 (forall (@list @t1 @t2 @t57 @t18) (or @t290 @t270))) % 0.45/0.88 (assume @p330 (forall (@list @t19 @t18 @t36 @t1 @t17 @t285) (or @t172 @t367 @t287 (not (tptp.c_Fun_Oinj__on @t19 @t285 @t1 @t17))))) % 0.45/0.88 (assume @p331 (forall @t239 (tptp.hBOOL (tptp.hAPP @t35 @t101)))) % 0.45/0.88 (assume @p332 (forall @t317 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t200 @t1) @t316))) % 0.45/0.88 (assume @p333 (forall (@list @t2 @t57 @t81 @t17 @t1 @t94 @t281 @t391 @t265) (or (not (= @t266 (tptp.c_Fun_Ocomp @t94 @t281 @t391 @t17 @t1))) (= @t267 (tptp.hAPP @t94 (tptp.hAPP @t281 @t265)))))) % 0.45/0.88 (assume @p334 (forall (@list @t19 @t190 @t32 @t409 @t408 @t105 @t17 @t1 @t81 @t391 @t407) (or (not (= @t263 (tptp.hAPP @t409 (tptp.hAPP @t408 @t105)))) (= @t264 (tptp.hAPP (tptp.c_Fun_Ocomp @t409 @t408 @t391 @t1 @t407) @t105))))) % 0.45/0.88 (assume @p335 (forall (@list @t18 @t32 @t1) (or (= @t18 @t101) @t390 (not (tptp.c_lessequals @t18 @t101 @t22))))) % 0.45/0.88 (assume @p336 (forall @t355 (= (tptp.c_Set_Ovimage @t19 @t354 @t1 @t17) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t19 (tptp.c_Set_Oinsert @t2 @t351 @t17) @t1 @t17) @t225 @t22)))) % 0.45/0.88 (assume @p337 (forall (@list @t57 @t56 @t67 @t94 @t61) (or @t58 @t310 (not (tptp.c_Natural_Oevaln @t96 @t56 @t61 @t67))))) % 0.45/0.88 (assume @p338 (forall (@list @t18 @t19 @t32 @t1 @t17) (or @t411 (not @t410)))) % 0.45/0.88 (assume @p339 (forall (@list @t19 @t18 @t1 @t17 @t32) (or @t410 (not @t411)))) % 0.45/0.88 (assume @p340 (forall (@list @t153 @t67 @t152 @t1) (or @t154 @t413 (not @t158)))) % 0.45/0.88 (assume @p341 (forall (@list @t36 @t285 @t18 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t36 (tptp.c_HOL_Ominus__class_Ominus @t285 @t18 @t22) @t22) @t18) @t367 @t125))) % 0.45/0.88 (assume @p342 (forall @t416 (or @t374 @t415 @t414 @t338))) % 0.45/0.88 (assume @p343 (forall @t416 (or @t374 @t415 @t337 (not @t414)))) % 0.45/0.88 (assume @p344 (forall @t387 (not (= @t386 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p345 (forall (@list @t2 @t285 @t1 @t288) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t2 @t285 @t1) (tptp.c_Set_Oinsert @t2 @t288 @t1) @t22) (not (tptp.c_lessequals @t285 @t288 @t22))))) % 0.45/0.88 (assume @p346 (forall (@list @t68 @t56 @t61 @t67 @t63 @t57) (or @t291 @t71 @t70))) % 0.45/0.88 (assume @p347 (forall @t244 (= (tptp.c_Set_Ovimage @t19 @t351 @t1 @t17) @t23))) % 0.45/0.88 (assume @p348 (forall (@list @t166 @t42 @t165 @t15 @t14 @t13) (not (= @t167 @t16)))) % 0.45/0.88 (assume @p349 (forall (@list @t68 @t57 @t63) (or @t389 @t417))) % 0.45/0.88 (assume @p350 (forall (@list @t63 @t57 @t68) (or @t275 @t417))) % 0.45/0.88 (assume @p351 (forall (@list @t19 @t190 @t1 @t391 @t81 @t392 @t17) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t19 @t190 @t1 @t391 @t81) @t392 @t1 @t81 @t17) (tptp.c_Fun_Ofcomp @t19 (tptp.c_Fun_Ofcomp @t190 @t392 @t391 @t81 @t17) @t1 @t391 @t17)))) % 0.45/0.88 (assume @p352 (forall @t395 (not (= tptp.c_Com_Ocom_OSKIP @t207)))) % 0.45/0.88 (assume @p353 (forall @t343 (or (not (tptp.class_Orderings_Olinorder @t1)) @t337 @t334))) % 0.45/0.88 (assume @p354 (forall @t84 (or @t418 (= @t36 @t23)))) % 0.45/0.88 (assume @p355 (forall @t84 (or @t418 @t390))) % 0.45/0.88 (assume @p356 (forall @t368 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t126 @t18 @t22) @t419))) % 0.45/0.88 (assume @p357 (forall @t84 (= @t127 @t358))) % 0.45/0.88 (assume @p358 (forall @t314 (= (tptp.c_HOL_Ominus__class_Ominus @t358 @t285 @t22) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus @t18 @t285 @t22) (tptp.c_HOL_Ominus__class_Ominus @t36 @t285 @t22) @t22)))) % 0.45/0.88 (assume @p359 (forall @t227 (= (tptp.c_Set_Ovimage @t19 @t420 @t1 @t17) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t226 @t225 @t22)))) % 0.45/0.88 (assume @p360 (forall @t309 (or @t402 @t421))) % 0.45/0.88 (assume @p361 (forall @t198 (or @t20 @t421))) % 0.45/0.88 (assume @p362 (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.t_a)) (= (tptp.c_OrderedGroup_Olordered__ab__group__add__class_Opprt tptp.v_x tptp.t_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup tptp.v_x (tptp.c_HOL_Ozero__class_Ozero tptp.t_a) tptp.t_a)))) % 0.45/0.88 (assume @p363 (forall (@list @t78 @t74) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_COMBC @t384 @t78 tptp.t_a @t382 tptp.tc_bool) (tptp.c_COMBC @t384 @t74 tptp.t_a @t382 tptp.tc_bool) @t382) tptp.v_x) (tptp.hAPP @t385 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t78 @t74 @t382))))) % 0.45/0.88 (assume @p364 (forall @t423 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t19 @t190 @t81 @t17 tptp.t_a) tptp.v_x) (tptp.hAPP @t19 @t422)))) % 0.45/0.88 (assume @p365 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 0.45/0.88 (assume @p366 (forall @t423 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t19 @t190 tptp.t_a @t81 @t17) tptp.v_x) (tptp.hAPP @t190 @t424)))) % 0.45/0.88 (assume @p367 (forall @t426 (not (= @t425 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.88 (assume @p368 (forall (@list @t42 @t165 @t14) (not (= @t178 @t425)))) % 0.45/0.88 (assume @p369 (forall @t429 (= (tptp.c_Com_Ocom_Ocom__rec @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t428 @t1) @t427))) % 0.45/0.88 (assume @p370 (forall (@list @t14 @t42 @t11 @t10) (not (= @t425 @t200)))) % 0.45/0.88 (assume @p371 (forall (@list @t42 @t11 @t10 @t14) (not (= @t200 @t425)))) % 0.45/0.88 (assume @p372 (forall (@list @t14 @t44 @t42) (not (= @t425 @t86)))) % 0.45/0.88 (assume @p373 (forall (@list @t44 @t42 @t14) (not (= @t86 @t425)))) % 0.45/0.88 (assume @p374 (forall (@list @t14 @t166 @t42 @t165) (not (= @t425 @t167)))) % 0.45/0.88 (assume @p375 (forall (@list @t14 @t42 @t165) (not (= @t425 @t178)))) % 0.45/0.88 (assume @p376 (forall (@list @t15 @t14 @t13 @t43) (not (= @t16 @t428)))) % 0.45/0.88 (assume @p377 (forall (@list @t14 @t11 @t10) (not (= @t425 @t12)))) % 0.45/0.88 (assume @p378 (forall (@list @t11 @t10 @t14) (not (= @t12 @t425)))) % 0.45/0.88 (assume @p379 (forall (@list @t166 @t42 @t165 @t14) (not (= @t167 @t425)))) % 0.45/0.88 (assume @p380 (forall (@list @t43 @t15 @t14 @t13) (not (= @t428 @t16)))) % 0.45/0.88 (assume @p381 (forall @t429 (= (tptp.c_Com_Ocom_Ocom__case @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t45 @t428 @t1) @t427))) % 0.45/0.88 (assume @p382 (forall @t426 (not (= tptp.c_Com_Ocom_OSKIP @t425)))) % 0.45/0.88 (assume @p383 (forall (@list @t1 @t79 @t120 @t77) (tptp.c_Hoare__Mirabelle_Otriple__valid @t230 @t430 @t1))) % 0.45/0.88 (assume @p384 (forall (@list @t79 @t54 @t100 @t432 @t431) (or (not (tptp.hBOOL (tptp.hAPP @t79 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t54 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t433 @t100) @t432) @t431) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t79 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t54 @t100) @t432) @t431)))))) % 0.45/0.88 (assume @p385 (forall (@list @t79 @t54 @t435 @t165 @t434) (or (not (tptp.hBOOL (tptp.hAPP @t79 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t54 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t433 @t435) @t165) @t434) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t79 @t436))))) % 0.45/0.88 (assume @p386 (forall @t438 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t54 @t437 @t17 @t1) @t436))) % 0.45/0.88 (assume @p387 (forall @t438 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t54 @t437 @t17 @t1) @t436))) % 0.45/0.88 (assume @p388 (forall (@list @t153 @t152 @t1 @t67) (or @t412 @t155))) % 0.45/0.88 (assume @p389 (forall (@list @t153 @t152 @t1 @t439) (or @t412 (not (tptp.c_lessequals @t152 @t439 @t156)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 @t439 @t1))))) % 0.45/0.88 (assume @p390 (forall @t442 (or @t412 (not (tptp.c_lessequals @t440 @t153 @t156)) @t441))) % 0.45/0.88 (assume @p391 (forall (@list @t153 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 @t157 @t1))) % 0.45/0.88 (assume @p392 (forall @t443 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t153 @t152 @t1) @t413))) % 0.45/0.88 (assume @p393 (forall @t443 (or @t412 (not (tptp.c_lessequals @t152 @t153 @t156))))) % 0.45/0.88 (assume @p394 (forall (@list @t120) (or @t122 (= @t444 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 0.45/0.88 (assume @p395 (forall (@list @t68 @t56 @t67 @t63 @t57) (or @t449 @t448 @t445))) % 0.45/0.88 (assume @p396 (forall (@list @t57 @t56 @t67 @t94) (or @t58 @t310 (not (tptp.hBOOL (tptp.hAPP @t451 @t67)))))) % 0.45/0.88 (assume @p397 (forall @t453 (or @t452 (not (tptp.hBOOL (tptp.hAPP @t447 @t60))) @t58))) % 0.45/0.88 (assume @p398 (forall (@list @t68 @t56 @t67 @t57 @t63) (or @t449 @t58 @t445))) % 0.45/0.88 (assume @p399 (forall (@list @t56) (tptp.hBOOL (tptp.hAPP @t454 @t56)))) % 0.45/0.88 (assume @p400 (forall (@list @t57 @t94 @t56) (or (tptp.hBOOL (tptp.hAPP @t451 @t56)) @t58))) % 0.45/0.88 (assume @p401 (forall (@list @t57 @t94 @t92 @t95 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t450 @t92) @t95)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t450 @t60) @t95))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t455 @t92) @t60))) @t93))) % 0.45/0.88 (assume @p402 (forall @t453 (or @t452 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t456 @t56) @t60))) @t59))) % 0.45/0.88 (assume @p403 (forall (@list @t57 @t56 @t63 @t67 @t68) (or @t59 @t448 @t445))) % 0.45/0.88 (assume @p404 (forall (@list @t62 @t63 @t92 @t95 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t107) @t92) @t95)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t446 @t60) @t95))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t456 @t92) @t60)))))) % 0.45/0.88 (assume @p405 (forall (@list @t67 @t56) (or @t310 (not (tptp.hBOOL (tptp.hAPP @t454 @t67)))))) % 0.45/0.88 (assume @p406 (forall (@list @t94 @t56 @t67 @t61) (or @t458 (not (tptp.c_Natural_Oevaln @t94 @t56 @t61 @t67))))) % 0.45/0.88 (assume @p407 (forall (@list @t94 @t56 @t67 @t32) (or @t458 (not (tptp.c_Natural_Oevaln @t94 @t56 @t32 @t67))))) % 0.45/0.88 (assume @p408 (forall @t239 (= (tptp.hAPP (tptp.c_Option_Othe @t1) (tptp.c_Option_Ooption_OSome @t32 @t1)) @t32))) % 0.45/0.88 (assume @p409 (= (tptp.c_Hoare__Mirabelle_OMGT tptp.v_c) (tptp.hAPP (tptp.hAPP @t459 tptp.v_c) (tptp.hAPP tptp.c_Natural_Oevalc tptp.v_c)))) % 0.45/0.88 (assume @p410 (or (not (tptp.class_Lattices_Olattice tptp.t_b)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup tptp.v_f tptp.v_g (tptp.tc_fun tptp.t_a tptp.t_b)) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t273 @t9 tptp.t_b)))) % 0.45/0.88 (assume @p411 (forall (@list @t153 @t120) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert @t462 @t186 @t184) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t462 @t153 @t184) (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT @t461) @t186 @t184) tptp.tc_Com_Ostate))))) % 0.45/0.88 (assume @p412 (forall (@list @t79 @t56 @t61 @t60) (or (tptp.c_Natural_Oevaln @t463 @t56 @t306 @t60) @t305))) % 0.45/0.88 (assume @p413 (forall (@list @t120 @t92 @t61 @t60) (or (tptp.c_Natural_Oevaln @t121 @t92 @t249 @t60) (not (tptp.c_Natural_Oevaln @t461 @t92 @t61 @t60))))) % 0.45/0.88 (assume @p414 (forall (@list @t19 @t190 @t81 @t1 @t17) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t19 @t190 @t81 @t1 @t17) @t89 @t17 @t1) (tptp.c_Set_Oimage @t19 (tptp.c_Set_Oimage @t190 @t89 @t17 @t81) @t81 @t1)))) % 0.45/0.88 (assume @p415 (forall @t198 (or @t278 @t421 @t277))) % 0.45/0.88 (assume @p416 (forall @t467 (or @t466 (not @t465)))) % 0.45/0.88 (assume @p417 (forall @t467 (or @t465 (not @t466)))) % 0.45/0.88 (assume @p418 (forall (@list @t153 @t1 @t79 @t120 @t77 @t468) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t279 (tptp.hAPP @t79 @t120)) @t121) (tptp.hAPP @t77 @t120)) @t157 @t151) @t1) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in tptp.tc_Com_Opname) @t120) @t468))) @t477))) % 0.45/0.88 (assume @p419 (forall (@list @t94) (= @t187 (tptp.hAPP (tptp.hAPP @t459 @t94) @t455)))) % 0.45/0.88 (assume @p420 (forall @t480 (or @t479 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t430 @t153 @t151) @t478 @t1))))) % 0.45/0.88 (assume @p421 (forall @t480 (or @t479 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 @t478 @t1))))) % 0.45/0.88 (assume @p422 (forall @t481 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t153 @t475 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t476 @t474 @t1))))) % 0.45/0.88 (assume @p423 (forall @t481 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 @t475 @t1) @t477))) % 0.45/0.88 (assume @p424 (forall @t227 (= (tptp.c_Set_Oimage @t19 @t420 @t17 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t109 @t22)))) % 0.45/0.88 (assume @p425 @t482) % 0.45/0.88 (assume @p426 (forall (@list @t79 @t56 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t463) @t56) @t60)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oevalc @t123) @t56) @t60)))))) % 0.45/0.88 (assume @p427 (forall (@list @t19 @t190 @t18 @t81 @t17 @t1) (= (tptp.c_Set_Oimage @t19 (tptp.c_Set_Oimage @t190 @t18 @t81 @t17) @t17 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t19 @t190 @t17 @t1 @t81) @t18 @t81 @t1)))) % 0.45/0.88 (assume @p428 (forall @t442 (or @t412 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t153 @t440 @t1)) @t441))) % 0.45/0.88 (assume @p429 (forall @t486 (or @t485 (= @t434 @t483)))) % 0.45/0.88 (assume @p430 (forall @t486 (or @t485 @t299))) % 0.45/0.88 (assume @p431 (forall @t486 (or @t485 (= @t435 @t484)))) % 0.45/0.88 (assume @p432 (forall (@list @t487 @t67 @t94 @t56) (or (= @t487 @t67) (not (tptp.hBOOL (tptp.hAPP @t457 @t487))) (not @t458)))) % 0.45/0.88 (assume @p433 (forall @t204 (or @t488 @t180))) % 0.45/0.88 (assume @p434 (forall @t204 (or @t488 (not @t489)))) % 0.45/0.88 (assume @p435 (forall (@list @t36 @t32 @t18 @t1) (or @t489 @t179 (not @t488)))) % 0.45/0.88 (assume @p436 (forall (@list @t17 @t19 @t190) (or (not (tptp.class_Lattices_Olattice @t17)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t190 @t220) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t424 @t422 @t17))))) % 0.45/0.88 (assume @p437 (forall @t261 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t22) @t18))) % 0.45/0.88 (assume @p438 (forall @t239 (or @t322 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t32 @t1) @t32)))) % 0.45/0.88 (assume @p439 (forall (@list @t79 @t77 @t17 @t1 @t81 @t78) (= (tptp.hAPP (tptp.c_COMBB @t79 @t77 @t17 @t1 @t81) @t78) (tptp.hAPP @t79 @t490)))) % 0.45/0.88 (assume @p440 (forall @t82 (= (tptp.hAPP (tptp.c_COMBS @t79 @t77 @t17 @t81 @t1) @t78) (tptp.hAPP @t80 @t490)))) % 0.45/0.88 (assume @p441 (forall @t315 (= @t491 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t285 @t22) @t22)))) % 0.45/0.88 (assume @p442 (forall @t314 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t358 @t285 @t22) @t491))) % 0.45/0.88 (assume @p443 (forall @t347 (or @t322 @t493))) % 0.45/0.88 (assume @p444 (forall @t347 (or @t322 @t494))) % 0.45/0.88 (assume @p445 (forall @t347 (or @t348 @t494))) % 0.45/0.88 (assume @p446 (forall @t347 (or @t348 @t493))) % 0.45/0.88 (assume @p447 (forall @t84 (= @t358 @t419))) % 0.45/0.88 (assume @p448 (forall @t143 (or @t322 @t495))) % 0.45/0.88 (assume @p449 (forall @t143 (or @t348 @t495))) % 0.45/0.88 (assume @p450 (forall (@list @t43 @t14) (or (not (= @t428 @t425)) @t214))) % 0.45/0.88 (assume @p451 (forall @t84 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t358 @t22) @t358))) % 0.45/0.88 (assume @p452 (forall @t143 (or @t322 @t496))) % 0.45/0.88 (assume @p453 (forall @t143 (or @t348 @t496))) % 0.45/0.88 (assume @p454 (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup tptp.v_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBB @t459 tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t498 tptp.tc_Com_Opname) (tptp.c_COMBB tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t497 tptp.tc_Com_Opname) tptp.tc_Com_Opname @t497 @t184) tptp.v_Procs tptp.tc_Com_Opname @t184) @t185) (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBB @t459 @t472 tptp.tc_Com_Ocom @t498 tptp.tc_Com_Opname) (tptp.c_COMBB tptp.c_Natural_Oevalc @t472 tptp.tc_Com_Ocom @t497 tptp.tc_Com_Opname) tptp.tc_Com_Opname @t497 @t184) tptp.v_Procs tptp.tc_Com_Opname @t184) tptp.tc_Com_Ostate)) % 0.45/0.88 (assume @p455 @t499) % 0.45/0.88 (assume @p456 (not @t500)) % 0.45/0.88 (assume @p457 (forall @t505 (or (tptp.class_Lattices_Oupper__semilattice @t504) @t502))) % 0.45/0.88 (assume @p458 (forall @t505 (or (tptp.class_Lattices_Obounded__lattice @t504) (not (tptp.class_Lattices_Obounded__lattice @t501))))) % 0.45/0.88 (assume @p459 (forall @t505 (or (tptp.class_Orderings_Opreorder @t504) (not (tptp.class_Orderings_Opreorder @t501))))) % 0.45/0.88 (assume @p460 (forall @t505 (or (tptp.class_Lattices_Olattice @t504) @t502))) % 0.45/0.88 (assume @p461 (forall @t505 (or (tptp.class_Orderings_Oorder @t504) (not (tptp.class_Orderings_Oorder @t501))))) % 0.45/0.88 (assume @p462 (forall @t505 (or (tptp.class_Orderings_Otop @t504) (not (tptp.class_Orderings_Otop @t501))))) % 0.45/0.88 (assume @p463 (forall @t505 (or (tptp.class_Orderings_Obot @t504) (not (tptp.class_Orderings_Obot @t501))))) % 0.45/0.88 (assume @p464 (forall @t505 (or (tptp.class_HOL_Ominus @t504) (not (tptp.class_HOL_Ominus @t501))))) % 0.45/0.88 (assume @p465 (forall @t505 (or (tptp.class_HOL_Oord @t504) (not (tptp.class_HOL_Oord @t501))))) % 0.45/0.88 (assume @p466 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.45/0.88 (assume @p467 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.45/0.88 (assume @p468 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.45/0.88 (assume @p469 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.45/0.88 (assume @p470 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.45/0.88 (assume @p471 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.45/0.88 (assume @p472 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.45/0.88 (assume @p473 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.45/0.88 (assume @p474 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.45/0.88 (assume @p475 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.45/0.88 (assume @p476 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.45/0.88 (assume @p477 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.45/0.88 (assume @p478 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.45/0.88 (assume @p479 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.45/0.88 (assume @p480 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.45/0.88 (assume @p481 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.45/0.88 (assume @p482 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.45/0.88 (assume @p483 (forall @t239 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t32) @t32)))) % 0.45/0.88 (assume @p484 (forall (@list @t112 @t303 @t1) (or (= @t112 @t303) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t112) @t303)))))) % 0.45/0.88 (step @p485 :rule cnf_or_pos :args (@t508)) % 0.45/0.88 (step @p486 :rule reordering :premises (@p485) :args ((or @t500 @t507 @t509))) % 0.45/0.88 (step @p487 :rule chain_m_resolution :premises (@p486 @p456 @p455) :args (@t509 @t510 (@list @t500 @t499))) % 0.45/0.88 (assume-push @p494 @t482) % 0.45/0.88 (step @p489 :rule instantiate :premises (@p425) :args ((@list tptp.v_pn tptp.v_x tptp.v_xa))) % 0.45/0.88 (step-pop @p495 :rule scope :premises (@p489)) % 0.45/0.88 (step @p490 :rule process_scope :premises (@p495) :args (@t508)) % 0.45/0.88 (step @p492 :rule implies_elim :premises (@p490)) % 0.45/0.88 (step @p493 false :rule chain_m_resolution :premises (@p492 @p487 @p425) :args (false @t510 (@list @t508 @t482))) % 0.45/0.88 ) % 0.45/0.88 % SZS output end Proof % 0.45/0.88 % cvc5 exiting %------------------------------------------------------------------------------