%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV848-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:29 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.79s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWV848-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n022.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 21:17:08 EDT 2026 % 0.14/0.33 % CPUTime : % 0.39/0.59 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.79 % SZS status Unsatisfiable % 0.45/0.79 % SZS output start Proof % 0.45/0.80 ( % 0.45/0.80 (declare-sort $$unsorted 0) % 0.45/0.80 (declare-const tptp.v_b $$unsorted) % 0.45/0.80 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_c $$unsorted) % 0.45/0.80 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.t_a $$unsorted) % 0.45/0.80 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_sa $$unsorted) % 0.45/0.80 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_na $$unsorted) % 0.45/0.80 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.tc_bool $$unsorted) % 0.45/0.80 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.45/0.80 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_x $$unsorted) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.tc_nat $$unsorted) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.v_G $$unsorted) % 0.45/0.80 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.v_nb (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.45/0.80 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_P $$unsorted) % 0.45/0.80 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.45/0.80 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.80 (define @t1 () (@var "T_a" $$unsorted)) % 0.45/0.80 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.45/0.80 (define @t3 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.45/0.80 (define @t4 () (@var "T_b" $$unsorted)) % 0.45/0.80 (define @t5 () (tptp.tc_fun @t4 tptp.tc_bool)) % 0.45/0.80 (define @t6 () (tptp.c_Orderings_Obot__class_Obot @t5)) % 0.45/0.80 (define @t7 () (@var "V_f" $$unsorted)) % 0.45/0.80 (define @t8 () (tptp.c_Set_Oimage @t7 @t6 @t4 @t1)) % 0.45/0.80 (define @t9 () (@list @t7 @t4 @t1)) % 0.45/0.80 (define @t10 () (@var "V_s" $$unsorted)) % 0.45/0.80 (define @t11 () (@var "V_b" $$unsorted)) % 0.45/0.80 (define @t12 () (tptp.hBOOL (tptp.hAPP @t11 @t10))) % 0.45/0.80 (define @t13 () (not @t12)) % 0.45/0.80 (define @t14 () (@var "V_s1" $$unsorted)) % 0.45/0.80 (define @t15 () (@var "V_c0" $$unsorted)) % 0.45/0.80 (define @t16 () (@var "V_c1" $$unsorted)) % 0.45/0.80 (define @t17 () (tptp.c_Com_Ocom_OCond @t11 @t15 @t16)) % 0.45/0.80 (define @t18 () (tptp.c_Natural_Oevalc @t17 @t10 @t14)) % 0.45/0.80 (define @t19 () (@list @t11 @t15 @t16 @t10 @t14)) % 0.45/0.80 (define @t20 () (@var "V_t" $$unsorted)) % 0.45/0.80 (define @t21 () (@var "V_c2" $$unsorted)) % 0.45/0.80 (define @t22 () (tptp.c_Com_Ocom_OCond @t11 @t16 @t21)) % 0.45/0.80 (define @t23 () (not (tptp.c_Natural_Oevalc @t22 @t10 @t20))) % 0.45/0.80 (define @t24 () (tptp.c_Natural_Oevalc @t16 @t10 @t20)) % 0.45/0.80 (define @t25 () (@var "V_s0" $$unsorted)) % 0.45/0.80 (define @t26 () (@var "V_s2" $$unsorted)) % 0.45/0.80 (define @t27 () (tptp.c_Com_Ocom_OSemi @t15 @t16)) % 0.45/0.80 (define @t28 () (@var "V_a" $$unsorted)) % 0.45/0.80 (define @t29 () (@var "V_X" $$unsorted)) % 0.45/0.80 (define @t30 () (@var "V_C" $$unsorted)) % 0.45/0.80 (define @t31 () (@var "V_A" $$unsorted)) % 0.45/0.80 (define @t32 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t30 @t2)) % 0.45/0.80 (define @t33 () (@var "V_B" $$unsorted)) % 0.45/0.80 (define @t34 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t30 @t2)) % 0.45/0.80 (define @t35 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t34 @t2)) % 0.45/0.80 (define @t36 () (@list @t31 @t33 @t30 @t1)) % 0.45/0.80 (define @t37 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t33 @t2)) % 0.45/0.80 (define @t38 () (@list @t31 @t33 @t1 @t30)) % 0.45/0.80 (define @t39 () (@var "V_z" $$unsorted)) % 0.45/0.80 (define @t40 () (@var "V_y" $$unsorted)) % 0.45/0.80 (define @t41 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t39 @t1)) % 0.45/0.80 (define @t42 () (@var "V_x" $$unsorted)) % 0.45/0.80 (define @t43 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t41 @t1)) % 0.45/0.80 (define @t44 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t40 @t1)) % 0.45/0.80 (define @t45 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t39 @t1) @t43)) % 0.45/0.80 (define @t46 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.45/0.80 (define @t47 () (@list @t1 @t42 @t40 @t39)) % 0.45/0.80 (define @t48 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t39 @t1)) % 0.45/0.80 (define @t49 () (= @t43 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t48 @t1))) % 0.45/0.80 (define @t50 () (not (tptp.class_Lattices_Olattice @t1))) % 0.45/0.80 (define @t51 () (@var "V_xa" $$unsorted)) % 0.45/0.80 (define @t52 () (tptp.c_Set_Oinsert @t42 @t3 @t1)) % 0.45/0.80 (define @t53 () (@var "V_fun" $$unsorted)) % 0.45/0.80 (define @t54 () (@var "V_vname" $$unsorted)) % 0.45/0.80 (define @t55 () (@var "V_f2" $$unsorted)) % 0.45/0.80 (define @t56 () (tptp.hAPP (tptp.hAPP @t55 @t54) @t53)) % 0.45/0.80 (define @t57 () (tptp.c_Com_Ocom_OAss @t54 @t53)) % 0.45/0.80 (define @t58 () (@var "V_f8" $$unsorted)) % 0.45/0.80 (define @t59 () (@var "V_f7" $$unsorted)) % 0.45/0.80 (define @t60 () (@var "V_f6" $$unsorted)) % 0.45/0.80 (define @t61 () (@var "V_f5" $$unsorted)) % 0.45/0.80 (define @t62 () (@var "V_f4" $$unsorted)) % 0.45/0.80 (define @t63 () (@var "V_f3" $$unsorted)) % 0.45/0.80 (define @t64 () (@var "V_f1" $$unsorted)) % 0.45/0.80 (define @t65 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t54 @t53 @t1)) % 0.45/0.80 (define @t66 () (@var "V_pname_H" $$unsorted)) % 0.45/0.80 (define @t67 () (tptp.c_Com_Ocom_OBODY @t66)) % 0.45/0.80 (define @t68 () (@var "V_com2" $$unsorted)) % 0.45/0.80 (define @t69 () (@var "V_com1" $$unsorted)) % 0.45/0.80 (define @t70 () (tptp.c_Com_Ocom_OSemi @t69 @t68)) % 0.45/0.80 (define @t71 () (@var "V_P" $$unsorted)) % 0.45/0.80 (define @t72 () (tptp.c_COMBI @t1)) % 0.45/0.80 (define @t73 () (@var "V_Q" $$unsorted)) % 0.45/0.80 (define @t74 () (@var "V_R" $$unsorted)) % 0.45/0.80 (define @t75 () (@var "T_c" $$unsorted)) % 0.45/0.80 (define @t76 () (tptp.c_Set_Oinsert @t42 @t31 @t1)) % 0.45/0.80 (define @t77 () (tptp.c_Set_Oinsert @t40 @t31 @t1)) % 0.45/0.80 (define @t78 () (@var "V_pname" $$unsorted)) % 0.45/0.80 (define @t79 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t54) @t78) @t53)) % 0.45/0.80 (define @t80 () (tptp.c_Com_Ocom_OCall @t54 @t78 @t53)) % 0.45/0.80 (define @t81 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t54 @t78 @t53 @t1)) % 0.45/0.80 (define @t82 () (@var "V_fun_H" $$unsorted)) % 0.45/0.80 (define @t83 () (@var "V_vname_H" $$unsorted)) % 0.45/0.80 (define @t84 () (tptp.c_Com_Ocom_OCall @t83 @t66 @t82)) % 0.45/0.80 (define @t85 () (@list @t1 @t42)) % 0.45/0.80 (define @t86 () (@list @t31 @t1)) % 0.45/0.80 (define @t87 () (@var "V_g" $$unsorted)) % 0.45/0.80 (define @t88 () (tptp.c_Fun_Oid @t4)) % 0.45/0.80 (define @t89 () (tptp.c_Fun_Oid @t1)) % 0.45/0.80 (define @t90 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t42 @t1)) % 0.45/0.80 (define @t91 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.45/0.80 (define @t92 () (@list @t1 @t40 @t39 @t42)) % 0.45/0.80 (define @t93 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t39 @t1)) % 0.45/0.80 (define @t94 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t40 @t1)) % 0.45/0.80 (define @t95 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t94 @t93 @t1)) % 0.45/0.80 (define @t96 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t41 @t1)) % 0.45/0.80 (define @t97 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t30 @t2)) % 0.45/0.80 (define @t98 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t33 @t2)) % 0.45/0.80 (define @t99 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t31 @t2)) % 0.45/0.80 (define @t100 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t31 @t2)) % 0.45/0.80 (define @t101 () (@list @t33 @t30 @t1 @t31)) % 0.45/0.80 (define @t102 () (tptp.hAPP @t87 tptp.v_x)) % 0.45/0.80 (define @t103 () (tptp.hAPP @t7 tptp.v_x)) % 0.45/0.80 (define @t104 () (tptp.tc_fun tptp.t_a @t4)) % 0.45/0.80 (define @t105 () (not (tptp.class_Lattices_Olattice @t4))) % 0.45/0.80 (define @t106 () (@list @t4 @t7 @t87)) % 0.45/0.80 (define @t107 () (tptp.c_Set_Oinsert @t28 @t3 @t1)) % 0.45/0.80 (define @t108 () (tptp.c_in @t1)) % 0.45/0.80 (define @t109 () (tptp.hAPP @t108 @t11)) % 0.45/0.80 (define @t110 () (tptp.c_Com_Ocom_OCond @t53 @t69 @t68)) % 0.45/0.80 (define @t111 () (@var "V_i" $$unsorted)) % 0.45/0.80 (define @t112 () (tptp.hAPP @t108 @t111)) % 0.45/0.80 (define @t113 () (@var "V_M" $$unsorted)) % 0.45/0.80 (define @t114 () (@var "V_com2_H" $$unsorted)) % 0.45/0.80 (define @t115 () (@var "V_com1_H" $$unsorted)) % 0.45/0.80 (define @t116 () (tptp.c_Com_Ocom_OCond @t82 @t115 @t114)) % 0.45/0.80 (define @t117 () (@var "V_com" $$unsorted)) % 0.45/0.80 (define @t118 () (@var "V_loc" $$unsorted)) % 0.45/0.80 (define @t119 () (tptp.c_Com_Ocom_OLocal @t118 @t53 @t117)) % 0.45/0.80 (define @t120 () (tptp.c_Com_Ocom_OBODY @t78)) % 0.45/0.80 (define @t121 () (tptp.c_Com_Ocom_OSemi @t115 @t114)) % 0.45/0.80 (define @t122 () (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t117 @t1)) % 0.45/0.80 (define @t123 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t63 @t118) @t53) @t117)) % 0.45/0.80 (define @t124 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t118 @t53 @t117 @t1)) % 0.45/0.80 (define @t125 () (@var "V_Y" $$unsorted)) % 0.45/0.80 (define @t126 () (@list @t1 @t125)) % 0.45/0.80 (define @t127 () (= @t53 @t82)) % 0.45/0.80 (define @t128 () (not (= @t80 @t84))) % 0.45/0.80 (define @t129 () (@list @t54 @t78 @t53 @t83 @t66 @t82)) % 0.45/0.80 (define @t130 () (= @t78 @t66)) % 0.45/0.80 (define @t131 () (= @t54 @t83)) % 0.45/0.80 (define @t132 () (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t68 @t1)) % 0.45/0.80 (define @t133 () (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t69 @t1)) % 0.45/0.80 (define @t134 () (tptp.hAPP (tptp.hAPP @t62 @t69) @t68)) % 0.45/0.80 (define @t135 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t69 @t68 @t1)) % 0.45/0.80 (define @t136 () (= @t31 @t6)) % 0.45/0.80 (define @t137 () (tptp.c_Set_Oimage @t7 @t31 @t4 @t1)) % 0.45/0.80 (define @t138 () (tptp.c_Set_Oinsert @t28 @t33 @t1)) % 0.45/0.80 (define @t139 () (@list @t28 @t33 @t1 @t30)) % 0.45/0.80 (define @t140 () (@list @t31 @t28 @t33 @t1)) % 0.45/0.80 (define @t141 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.45/0.80 (define @t142 () (= @t68 @t114)) % 0.45/0.80 (define @t143 () (not (= @t70 @t121))) % 0.45/0.80 (define @t144 () (@list @t69 @t68 @t115 @t114)) % 0.45/0.80 (define @t145 () (= @t69 @t115)) % 0.45/0.80 (define @t146 () (tptp.c_Set_Oinsert @t28 @t31 @t1)) % 0.45/0.80 (define @t147 () (@list @t28 @t31 @t1)) % 0.45/0.80 (define @t148 () (@var "T_aa" $$unsorted)) % 0.45/0.80 (define @t149 () (tptp.hAPP @t7 @t28)) % 0.45/0.80 (define @t150 () (tptp.c_in @t148)) % 0.45/0.80 (define @t151 () (tptp.c_Set_Oinsert @t28 @t98 @t1)) % 0.45/0.80 (define @t152 () (@list @t42 @t31 @t1)) % 0.45/0.80 (define @t153 () (@var "V_com_H" $$unsorted)) % 0.45/0.80 (define @t154 () (@var "V_loc_H" $$unsorted)) % 0.45/0.80 (define @t155 () (tptp.c_Com_Ocom_OLocal @t154 @t82 @t153)) % 0.45/0.80 (define @t156 () (tptp.hBOOL (tptp.hAPP @t77 @t42))) % 0.45/0.80 (define @t157 () (tptp.hBOOL (tptp.hAPP @t31 @t42))) % 0.45/0.80 (define @t158 () (tptp.c_in @t4)) % 0.45/0.80 (define @t159 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t42) @t31)))) % 0.45/0.80 (define @t160 () (tptp.hAPP @t33 @t42)) % 0.45/0.80 (define @t161 () (= @t160 @t3)) % 0.45/0.80 (define @t162 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t31 @t33 @t4 @t2)) % 0.45/0.80 (define @t163 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.45/0.80 (define @t164 () (@list @t1 @t33)) % 0.45/0.80 (define @t165 () (@var "V_I" $$unsorted)) % 0.45/0.80 (define @t166 () (@var "V_k" $$unsorted)) % 0.45/0.80 (define @t167 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t165 @t31 @t1 @t5)) % 0.45/0.80 (define @t168 () (@var "V_top" $$unsorted)) % 0.45/0.80 (define @t169 () (@var "V_bot" $$unsorted)) % 0.45/0.80 (define @t170 () (@var "V_sup" $$unsorted)) % 0.45/0.80 (define @t171 () (@var "V_inf" $$unsorted)) % 0.45/0.80 (define @t172 () (@var "V_less" $$unsorted)) % 0.45/0.80 (define @t173 () (@var "V_less__eq" $$unsorted)) % 0.45/0.80 (define @t174 () (@var "V_Sup" $$unsorted)) % 0.45/0.80 (define @t175 () (@var "V_Inf" $$unsorted)) % 0.45/0.80 (define @t176 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t1))) % 0.45/0.80 (define @t177 () (tptp.hAPP @t170 @t28)) % 0.45/0.80 (define @t178 () (tptp.c_Set_Oinsert @t11 @t3 @t1)) % 0.45/0.80 (define @t179 () (tptp.c_Set_Oinsert @t28 @t178 @t1)) % 0.45/0.80 (define @t180 () (tptp.hAPP @t171 @t28)) % 0.45/0.80 (define @t181 () (not (= @t110 @t116))) % 0.45/0.80 (define @t182 () (@list @t53 @t69 @t68 @t82 @t115 @t114)) % 0.45/0.80 (define @t183 () (tptp.hAPP @t7 (tptp.hAPP @t87 @t42))) % 0.45/0.80 (define @t184 () (tptp.hAPP (tptp.c_Fun_Ocomp @t7 @t87 @t4 @t1 @t75) @t42)) % 0.45/0.80 (define @t185 () (@var "V_v" $$unsorted)) % 0.45/0.80 (define @t186 () (tptp.c_Fun_Ocomp @t28 @t11 @t75 @t4 @t1)) % 0.45/0.80 (define @t187 () (tptp.hAPP @t28 (tptp.hAPP @t11 @t185))) % 0.45/0.80 (define @t188 () (= @t42 @t40)) % 0.45/0.80 (define @t189 () (@var "V_nat_H" $$unsorted)) % 0.45/0.80 (define @t190 () (@var "V_nat" $$unsorted)) % 0.45/0.80 (define @t191 () (tptp.hBOOL (tptp.hAPP @t37 @t42))) % 0.45/0.80 (define @t192 () (tptp.hBOOL @t160)) % 0.45/0.80 (define @t193 () (@list @t33 @t42 @t31 @t1)) % 0.45/0.80 (define @t194 () (not @t192)) % 0.45/0.80 (define @t195 () (@list @t31 @t33 @t1 @t42)) % 0.45/0.80 (define @t196 () (not @t157)) % 0.45/0.80 (define @t197 () (not (tptp.c_Com_OWT @t15))) % 0.45/0.80 (define @t198 () (tptp.c_Com_OWT @t16)) % 0.45/0.80 (define @t199 () (not @t198)) % 0.45/0.80 (define @t200 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t39 @t1)) % 0.45/0.80 (define @t201 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t200 @t1)) % 0.45/0.80 (define @t202 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t94 @t39 @t1) @t201)) % 0.45/0.80 (define @t203 () (= @t201 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t93 @t1))) % 0.45/0.80 (define @t204 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.45/0.80 (define @t205 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t30 @t2)) % 0.45/0.80 (define @t206 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t205 @t2)) % 0.45/0.80 (define @t207 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t6 @t33 @t4 @t2)) % 0.45/0.80 (define @t208 () (tptp.hAPP @t108 @t42)) % 0.45/0.80 (define @t209 () (tptp.hBOOL (tptp.hAPP @t208 @t31))) % 0.45/0.80 (define @t210 () (not @t209)) % 0.45/0.80 (define @t211 () (tptp.hBOOL (tptp.hAPP @t208 @t33))) % 0.45/0.80 (define @t212 () (not @t211)) % 0.45/0.80 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t44 @t48 @t1)) % 0.45/0.80 (define @t214 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t200 @t1)) % 0.45/0.80 (define @t215 () (@list @t1 @t42 @t40)) % 0.45/0.80 (define @t216 () (@var "V_n" $$unsorted)) % 0.45/0.80 (define @t217 () (@var "V_m" $$unsorted)) % 0.45/0.80 (define @t218 () (tptp.c_lessequals @t217 @t216 tptp.tc_nat)) % 0.45/0.80 (define @t219 () (not @t218)) % 0.45/0.80 (define @t220 () (tptp.c_lessequals @t216 @t217 tptp.tc_nat)) % 0.45/0.80 (define @t221 () (not @t220)) % 0.45/0.80 (define @t222 () (@list @t217 @t216)) % 0.45/0.80 (define @t223 () (@var "V_c" $$unsorted)) % 0.45/0.80 (define @t224 () (tptp.c_Natural_Oevalc @t223 @t10 @t20)) % 0.45/0.80 (define @t225 () (@var "V_u" $$unsorted)) % 0.45/0.80 (define @t226 () (tptp.c_lessequals @t42 @t40 @t1)) % 0.45/0.80 (define @t227 () (not @t226)) % 0.45/0.80 (define @t228 () (tptp.c_lessequals @t40 @t42 @t1)) % 0.45/0.80 (define @t229 () (not @t228)) % 0.45/0.80 (define @t230 () (not (tptp.class_Orderings_Oorder @t1))) % 0.45/0.80 (define @t231 () (= @t94 @t42)) % 0.45/0.80 (define @t232 () (@var "V_pn" $$unsorted)) % 0.45/0.80 (define @t233 () (tptp.c_lessequals @t28 @t42 @t1)) % 0.45/0.80 (define @t234 () (not @t233)) % 0.45/0.80 (define @t235 () (tptp.c_lessequals @t11 @t42 @t1)) % 0.45/0.80 (define @t236 () (not @t235)) % 0.45/0.80 (define @t237 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t11 @t1)) % 0.45/0.80 (define @t238 () (tptp.c_lessequals @t237 @t42 @t1)) % 0.45/0.80 (define @t239 () (@list @t1 @t28 @t11 @t42)) % 0.45/0.80 (define @t240 () (tptp.c_lessequals @t42 @t44 @t1)) % 0.45/0.80 (define @t241 () (tptp.c_lessequals @t40 @t44 @t1)) % 0.45/0.80 (define @t242 () (@list @t1 @t40 @t42)) % 0.45/0.80 (define @t243 () (tptp.c_lessequals @t39 @t42 @t1)) % 0.45/0.80 (define @t244 () (tptp.c_lessequals @t42 @t39 @t1)) % 0.45/0.80 (define @t245 () (not @t244)) % 0.45/0.80 (define @t246 () (tptp.c_lessequals @t40 @t39 @t1)) % 0.45/0.80 (define @t247 () (not @t246)) % 0.45/0.80 (define @t248 () (tptp.c_lessequals @t44 @t39 @t1)) % 0.45/0.80 (define @t249 () (@list @t31 @t33 @t1)) % 0.45/0.80 (define @t250 () (= @t94 @t90)) % 0.45/0.80 (define @t251 () (= @t28 @t11)) % 0.45/0.80 (define @t252 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t30 @t31 @t2)) % 0.45/0.80 (define @t253 () (tptp.c_Suc @t216)) % 0.45/0.80 (define @t254 () (tptp.c_lessequals @t253 @t217 tptp.tc_nat)) % 0.45/0.80 (define @t255 () (@list @t216 @t217)) % 0.45/0.80 (define @t256 () (tptp.c_Set_Oimage @t7 @t31 @t1 @t4)) % 0.45/0.80 (define @t257 () (tptp.hAPP @t7 @t42)) % 0.45/0.80 (define @t258 () (tptp.hAPP @t108 @t28)) % 0.45/0.80 (define @t259 () (tptp.hBOOL (tptp.hAPP @t258 @t31))) % 0.45/0.80 (define @t260 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t138 @t2)) % 0.45/0.80 (define @t261 () (tptp.hBOOL (tptp.hAPP @t258 @t30))) % 0.45/0.80 (define @t262 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t138 @t30 @t2)) % 0.45/0.80 (define @t263 () (not (= @t37 @t3))) % 0.45/0.80 (define @t264 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t33 @t1) @t141))) % 0.45/0.80 (define @t265 () (@list @t1 @t31 @t33)) % 0.45/0.80 (define @t266 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t11 @t1)) % 0.45/0.80 (define @t267 () (tptp.c_lessequals @t42 @t266 @t1)) % 0.45/0.80 (define @t268 () (not @t267)) % 0.45/0.80 (define @t269 () (tptp.c_lessequals @t42 @t28 @t1)) % 0.45/0.80 (define @t270 () (@list @t1 @t42 @t28 @t11)) % 0.45/0.80 (define @t271 () (tptp.c_lessequals @t42 @t11 @t1)) % 0.45/0.80 (define @t272 () (tptp.c_lessequals @t266 @t42 @t1)) % 0.45/0.80 (define @t273 () (tptp.c_lessequals @t42 @t200 @t1)) % 0.45/0.80 (define @t274 () (not @t273)) % 0.45/0.80 (define @t275 () (@list @t1 @t42 @t39 @t40)) % 0.45/0.80 (define @t276 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t31 @t2)) % 0.45/0.80 (define @t277 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t42 @t1)) % 0.45/0.80 (define @t278 () (= @t44 @t277)) % 0.45/0.80 (define @t279 () (@list @t216)) % 0.45/0.80 (define @t280 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t44 @t1) @t44)) % 0.45/0.80 (define @t281 () (tptp.c_Com_OWT @t223)) % 0.45/0.80 (define @t282 () (not @t281)) % 0.45/0.80 (define @t283 () (tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t125 @t28 @t223))) % 0.45/0.80 (define @t284 () (tptp.hAPP @t59 @t78)) % 0.45/0.80 (define @t285 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t78 @t1)) % 0.45/0.80 (define @t286 () (tptp.c_Set_Ovimage @t7 @t33 @t1 @t4)) % 0.45/0.80 (define @t287 () (tptp.c_Set_Ovimage @t7 @t31 @t1 @t4)) % 0.45/0.80 (define @t288 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t33 @t5)) % 0.45/0.80 (define @t289 () (@list @t7 @t31 @t33 @t4 @t1)) % 0.45/0.80 (define @t290 () (tptp.c_lessequals @t217 @t253 tptp.tc_nat)) % 0.45/0.80 (define @t291 () (tptp.hBOOL (tptp.hAPP @t98 @t42))) % 0.45/0.80 (define @t292 () (not @t291)) % 0.45/0.80 (define @t293 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t61 @t53) @t69) @t68)) % 0.45/0.80 (define @t294 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t53 @t69 @t68 @t1)) % 0.45/0.80 (define @t295 () (tptp.hAPP @t108 @t223)) % 0.45/0.80 (define @t296 () (tptp.hBOOL (tptp.hAPP @t295 @t31))) % 0.45/0.80 (define @t297 () (not @t296)) % 0.45/0.80 (define @t298 () (tptp.hBOOL (tptp.hAPP @t295 @t33))) % 0.45/0.80 (define @t299 () (not @t298)) % 0.45/0.80 (define @t300 () (tptp.hBOOL (tptp.hAPP @t295 @t98))) % 0.45/0.80 (define @t301 () (@list @t1 @t223 @t31 @t33)) % 0.45/0.80 (define @t302 () (@var "V_l" $$unsorted)) % 0.45/0.80 (define @t303 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t302) @t111))) % 0.45/0.80 (define @t304 () (not @t303)) % 0.45/0.80 (define @t305 () (tptp.hAPP @t172 @t111)) % 0.45/0.80 (define @t306 () (tptp.hBOOL (tptp.hAPP @t305 @t225))) % 0.45/0.80 (define @t307 () (tptp.hBOOL (tptp.hAPP @t112 (tptp.c_SetInterval_Oord_OatLeastLessThan @t173 @t172 @t302 @t225 @t1)))) % 0.45/0.80 (define @t308 () (not @t259)) % 0.45/0.80 (define @t309 () (tptp.hBOOL (tptp.hAPP @t258 (tptp.c_Set_Oinsert @t11 @t31 @t1)))) % 0.45/0.80 (define @t310 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t111) @t225))) % 0.45/0.80 (define @t311 () (tptp.hBOOL (tptp.hAPP @t112 (tptp.c_SetInterval_Oord_OatLeastAtMost @t173 @t302 @t225 @t1)))) % 0.45/0.80 (define @t312 () (tptp.hBOOL (tptp.hAPP @t295 @t37))) % 0.45/0.80 (define @t313 () (not (tptp.hBOOL (tptp.hAPP @t208 @t3)))) % 0.45/0.80 (define @t314 () (tptp.hBOOL (tptp.hAPP @t71 @t42))) % 0.45/0.80 (define @t315 () (@list @t71 @t42 @t1)) % 0.45/0.80 (define @t316 () (@list @t1 @t223 @t33 @t31)) % 0.45/0.80 (define @t317 () (not @t314)) % 0.45/0.80 (define @t318 () (tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 @t31 @t71 @t1)) % 0.45/0.80 (define @t319 () (@list @t71 @t31 @t1 @t42)) % 0.45/0.80 (define @t320 () (tptp.c_Set_Oinsert @t42 @t33 @t1)) % 0.45/0.80 (define @t321 () (not @t300)) % 0.45/0.80 (define @t322 () (@var "V_S" $$unsorted)) % 0.45/0.80 (define @t323 () (tptp.c_COMBC @t108 @t1 @t2 tptp.tc_bool)) % 0.45/0.80 (define @t324 () (tptp.hAPP @t33 @t28)) % 0.45/0.80 (define @t325 () (tptp.hAPP @t158 @t11)) % 0.45/0.80 (define @t326 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t31 @t33 @t1 @t5)) % 0.45/0.80 (define @t327 () (tptp.hAPP @t158 @t149)) % 0.45/0.80 (define @t328 () (tptp.hBOOL (tptp.hAPP @t327 @t33))) % 0.45/0.80 (define @t329 () (tptp.hBOOL (tptp.hAPP @t258 @t286))) % 0.45/0.80 (define @t330 () (tptp.hAPP @t108 @t149)) % 0.45/0.80 (define @t331 () (tptp.hAPP @t158 @t28)) % 0.45/0.80 (define @t332 () (= @t44 @t40)) % 0.45/0.80 (define @t333 () (= @t28 @t223)) % 0.45/0.80 (define @t334 () (@var "V_d" $$unsorted)) % 0.45/0.80 (define @t335 () (= @t28 @t334)) % 0.45/0.80 (define @t336 () (not (= @t179 (tptp.c_Set_Oinsert @t223 (tptp.c_Set_Oinsert @t334 @t3 @t1) @t1)))) % 0.45/0.80 (define @t337 () (@list @t28 @t11 @t1 @t223 @t334)) % 0.45/0.80 (define @t338 () (= @t11 @t223)) % 0.45/0.80 (define @t339 () (= @t11 @t334)) % 0.45/0.80 (define @t340 () (tptp.c_Natural_Oevalc @t21 @t10 @t20)) % 0.45/0.80 (define @t341 () (@var "V_fun1_H" $$unsorted)) % 0.45/0.80 (define @t342 () (@var "V_fun1" $$unsorted)) % 0.45/0.80 (define @t343 () (@var "V_fun2_H" $$unsorted)) % 0.45/0.80 (define @t344 () (@var "V_fun2" $$unsorted)) % 0.45/0.80 (define @t345 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t342 @t117 @t344 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t341 @t153 @t343 @t1)))) % 0.45/0.80 (define @t346 () (@list @t342 @t117 @t344 @t1 @t341 @t153 @t343)) % 0.45/0.80 (define @t347 () (= @t117 @t153)) % 0.45/0.80 (define @t348 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t16 @t21)))) % 0.45/0.80 (define @t349 () (tptp.c_Com_OWT @t21)) % 0.45/0.80 (define @t350 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t51) @t31)))) % 0.45/0.80 (define @t351 () (not (tptp.hBOOL (tptp.hAPP @t71 @t51)))) % 0.45/0.80 (define @t352 () (tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 @t31 @t33 @t71 @t1)) % 0.45/0.80 (define @t353 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t352) @t37))) % 0.45/0.80 (define @t354 () (tptp.hAPP @t174 @t31)) % 0.45/0.80 (define @t355 () (tptp.hAPP @t175 @t31)) % 0.45/0.80 (define @t356 () (tptp.c_Set_Oimage @t7 @t33 @t4 @t1)) % 0.45/0.80 (define @t357 () (tptp.c_Set_Oinsert @t28 @t33 @t4)) % 0.45/0.80 (define @t358 () (@list @t7 @t28 @t33 @t4 @t1)) % 0.45/0.80 (define @t359 () (tptp.c_lessequals @t94 @t42 @t1)) % 0.45/0.80 (define @t360 () (tptp.c_lessequals @t94 @t40 @t1)) % 0.45/0.80 (define @t361 () (not @t269)) % 0.45/0.80 (define @t362 () (not @t271)) % 0.45/0.80 (define @t363 () (@var "T_d" $$unsorted)) % 0.45/0.80 (define @t364 () (@var "V_h" $$unsorted)) % 0.45/0.80 (define @t365 () (tptp.c_Com_Ocom_OAss @t83 @t82)) % 0.45/0.80 (define @t366 () (not (= @t57 @t365))) % 0.45/0.80 (define @t367 () (@list @t54 @t53 @t83 @t82)) % 0.45/0.80 (define @t368 () (tptp.c_Suc @t217)) % 0.45/0.80 (define @t369 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t94 @t1) @t94)) % 0.45/0.80 (define @t370 () (not (= @t119 @t155))) % 0.45/0.80 (define @t371 () (@list @t118 @t53 @t117 @t154 @t82 @t153)) % 0.45/0.80 (define @t372 () (@var "V_r" $$unsorted)) % 0.45/0.80 (define @t373 () (not @t248)) % 0.45/0.80 (define @t374 () (tptp.c_lessequals @t42 @t237 @t1)) % 0.45/0.80 (define @t375 () (not @t238)) % 0.45/0.80 (define @t376 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.45/0.80 (define @t377 () (@var "V_j" $$unsorted)) % 0.45/0.80 (define @t378 () (tptp.c_lessequals @t42 @t42 @t1)) % 0.45/0.80 (define @t379 () (@var "V_x_H" $$unsorted)) % 0.45/0.80 (define @t380 () (@var "T_e" $$unsorted)) % 0.45/0.80 (define @t381 () (@var "V_g_H" $$unsorted)) % 0.45/0.80 (define @t382 () (@var "V_f_H" $$unsorted)) % 0.45/0.80 (define @t383 () (tptp.hBOOL (tptp.hAPP @t287 @t42))) % 0.45/0.80 (define @t384 () (tptp.hBOOL (tptp.hAPP @t31 @t257))) % 0.45/0.80 (define @t385 () (tptp.c_lessequals @t253 @t368 tptp.tc_nat)) % 0.45/0.80 (define @t386 () (not (tptp.c_Com_OWT @t22))) % 0.45/0.80 (define @t387 () (not @t311)) % 0.45/0.80 (define @t388 () (tptp.hBOOL (tptp.hAPP @t71 @t352))) % 0.45/0.80 (define @t389 () (@list @t1 @t31 @t71 @t42)) % 0.45/0.80 (define @t390 () (tptp.hBOOL (tptp.hAPP @t305 @t166))) % 0.45/0.80 (define @t391 () (tptp.hBOOL (tptp.hAPP @t112 (tptp.c_SetInterval_Oord_OlessThan @t172 @t166 @t1)))) % 0.45/0.80 (define @t392 () (tptp.hAPP @t160 @t11)) % 0.45/0.80 (define @t393 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t31 @t33 @t1 (tptp.tc_fun @t4 (tptp.tc_fun @t75 tptp.tc_bool))) @t11) @t223))) % 0.45/0.80 (define @t394 () (tptp.hBOOL (tptp.hAPP @t326 @t11))) % 0.45/0.80 (define @t395 () (tptp.hAPP @t324 @t11)) % 0.45/0.80 (define @t396 () (not @t307)) % 0.45/0.80 (define @t397 () (tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 @t31 @t71 @t1)) % 0.45/0.80 (define @t398 () (tptp.hAPP @t108 @t257)) % 0.45/0.80 (define @t399 () (tptp.hBOOL (tptp.hAPP @t398 @t137))) % 0.45/0.80 (define @t400 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.45/0.80 (define @t401 () (tptp.c_in tptp.t_a)) % 0.45/0.80 (define @t402 () (tptp.hAPP @t401 tptp.v_x)) % 0.45/0.80 (define @t403 () (tptp.c_COMBC @t401 tptp.t_a @t400 tptp.tc_bool)) % 0.45/0.80 (define @t404 () (tptp.hAPP @t403 @t322)) % 0.45/0.80 (define @t405 () (tptp.hAPP @t403 @t74)) % 0.45/0.80 (define @t406 () (@list @t74 @t322)) % 0.45/0.80 (define @t407 () (@list @t7 @t87 @t75 @t4)) % 0.45/0.80 (define @t408 () (@list @t115 @t114)) % 0.45/0.80 (define @t409 () (@list @t83 @t82)) % 0.45/0.80 (define @t410 () (@list @t66)) % 0.45/0.80 (define @t411 () (@list @t83 @t66 @t82)) % 0.45/0.80 (define @t412 () (@list @t154 @t82 @t153)) % 0.45/0.80 (define @t413 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t1)) % 0.45/0.80 (define @t414 () (@list @t82 @t115 @t114)) % 0.45/0.80 (define @t415 () (= @t20 @t10)) % 0.45/0.80 (define @t416 () (tptp.c_Com_Ocom_OWhile @t53 @t117)) % 0.45/0.80 (define @t417 () (tptp.c_Com_Ocom_OWhile @t11 @t223)) % 0.45/0.80 (define @t418 () (tptp.c_Com_Ocom_OWhile @t82 @t153)) % 0.45/0.80 (define @t419 () (tptp.hAPP (tptp.hAPP @t60 @t53) @t117)) % 0.45/0.80 (define @t420 () (@list @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t53 @t117 @t1)) % 0.45/0.80 (define @t421 () (not (tptp.hBOOL (tptp.hAPP @t11 @t25)))) % 0.45/0.80 (define @t422 () (tptp.c_Com_OWT @t417)) % 0.45/0.80 (define @t423 () (not (tptp.c_Natural_Oevaln @t22 @t10 @t216 @t20))) % 0.45/0.80 (define @t424 () (tptp.c_Natural_Oevaln @t16 @t10 @t216 @t20)) % 0.45/0.80 (define @t425 () (tptp.c_Natural_Oevaln @t21 @t10 @t216 @t20)) % 0.45/0.80 (define @t426 () (not (tptp.c_Natural_Oevaln @t223 @t10 @t216 @t20))) % 0.45/0.80 (define @t427 () (tptp.c_Natural_Oevaln @t17 @t10 @t216 @t14)) % 0.45/0.80 (define @t428 () (@list @t11 @t15 @t16 @t10 @t216 @t14)) % 0.45/0.80 (define @t429 () (@var "V_s_H" $$unsorted)) % 0.45/0.80 (define @t430 () (not (tptp.c_Natural_Oevaln @t223 @t10 @t216 @t429))) % 0.45/0.80 (define @t431 () (@var "V_t1" $$unsorted)) % 0.45/0.80 (define @t432 () (@var "V_n1" $$unsorted)) % 0.45/0.80 (define @t433 () (not (tptp.c_Natural_Oevaln @t16 @t14 @t432 @t431))) % 0.45/0.80 (define @t434 () (@var "V_t2" $$unsorted)) % 0.45/0.80 (define @t435 () (@var "V_n2" $$unsorted)) % 0.45/0.80 (define @t436 () (not (tptp.c_Natural_Oevaln @t21 @t26 @t435 @t434))) % 0.45/0.80 (define @t437 () (tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 @t16 @t21 @t14 @t26 @t431 @t434)) % 0.45/0.80 (define @t438 () (@var "V_ts" $$unsorted)) % 0.45/0.80 (define @t439 () (@var "V_G" $$unsorted)) % 0.45/0.80 (define @t440 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t439 @t438 tptp.t_a)) % 0.45/0.80 (define @t441 () (not @t440)) % 0.45/0.80 (define @t442 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 @t439 @t216)) % 0.45/0.80 (define @t443 () (tptp.c_in (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a))) % 0.45/0.80 (define @t444 () (@var "V_na" $$unsorted)) % 0.45/0.80 (define @t445 () (tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 @t216 @t438)) % 0.45/0.80 (define @t446 () (tptp.hAPP @t443 @t51)) % 0.45/0.80 (define @t447 () (tptp.hAPP @t443 @t42)) % 0.45/0.80 (define @t448 () (@var "V_nb" $$unsorted)) % 0.45/0.80 (define @t449 () (tptp.c_Orderings_Obot__class_Obot @t400)) % 0.45/0.80 (define @t450 () (not (tptp.c_Natural_Oevaln @t417 @t10 @t216 @t20))) % 0.45/0.80 (define @t451 () (tptp.c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1 @t11 @t223 @t216 @t10 @t20)) % 0.45/0.80 (define @t452 () (tptp.c_Natural_Oevaln @t417 @t451 @t216 @t20)) % 0.45/0.80 (define @t453 () (@list @t11 @t223 @t216 @t10 @t20)) % 0.45/0.80 (define @t454 () (tptp.c_Natural_Oevaln @t223 @t10 @t216 @t451)) % 0.45/0.80 (define @t455 () (@list @t223 @t10 @t216 @t11 @t20)) % 0.45/0.80 (define @t456 () (@var "V_Z" $$unsorted)) % 0.45/0.80 (define @t457 () (@list @t82 @t153)) % 0.45/0.80 (define @t458 () (forall @t457 (not (= tptp.c_Com_Ocom_OSKIP @t418)))) % 0.45/0.80 (define @t459 () (tptp.hBOOL (tptp.hAPP @t322 @t42))) % 0.45/0.80 (define @t460 () (tptp.hBOOL (tptp.hAPP @t208 @t322))) % 0.45/0.80 (define @t461 () (not (= @t416 @t418))) % 0.45/0.80 (define @t462 () (@list @t53 @t117 @t82 @t153)) % 0.45/0.80 (define @t463 () (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OWhile tptp.v_b tptp.v_c))) % 0.45/0.80 (define @t464 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_x) tptp.v_sa))) % 0.45/0.80 (define @t465 () (tptp.v_nb @t216)) % 0.45/0.80 (define @t466 () (tptp.hAPP tptp.v_P @t456)) % 0.45/0.80 (define @t467 () (@var "V_sa" $$unsorted)) % 0.45/0.80 (define @t468 () (@var "V_Za" $$unsorted)) % 0.45/0.80 (define @t469 () (tptp.hAPP tptp.v_P @t468)) % 0.45/0.80 (define @t470 () (@var "V_s_Ha" $$unsorted)) % 0.45/0.80 (define @t471 () (@var "T_1" $$unsorted)) % 0.45/0.80 (define @t472 () (@var "T_2" $$unsorted)) % 0.45/0.80 (define @t473 () (tptp.tc_fun @t472 @t471)) % 0.45/0.80 (define @t474 () (@list @t472 @t471)) % 0.45/0.80 (define @t475 () (not (tptp.class_Lattices_Olattice @t471))) % 0.45/0.80 (assume @p1 (forall @t9 (= @t8 @t3))) % 0.45/0.80 (assume @p2 (forall @t19 (or @t18 (not (tptp.c_Natural_Oevalc @t15 @t10 @t14)) @t13))) % 0.45/0.80 (assume @p3 (forall (@list @t11 @t10 @t16 @t20 @t21) (or @t13 @t24 @t23))) % 0.45/0.80 (assume @p4 (forall (@list @t15 @t16 @t25 @t26 @t14) (or (tptp.c_Natural_Oevalc @t27 @t25 @t26) (not (tptp.c_Natural_Oevalc @t16 @t14 @t26)) (not (tptp.c_Natural_Oevalc @t15 @t25 @t14))))) % 0.45/0.80 (assume @p5 (forall (@list @t29 @t28) (tptp.c_Com_OWT (tptp.c_Com_Ocom_OAss @t29 @t28)))) % 0.45/0.80 (assume @p6 (forall @t36 (= @t35 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t32 @t2)))) % 0.45/0.80 (assume @p7 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t30 @t2) @t35))) % 0.45/0.80 (assume @p8 (forall @t47 (or @t46 @t45))) % 0.45/0.80 (assume @p9 (forall @t47 (or @t46 @t49))) % 0.45/0.80 (assume @p10 (forall @t47 (or @t50 @t49))) % 0.45/0.80 (assume @p11 (forall (@list @t51 @t42 @t1) (= (tptp.c_Set_Oinsert @t51 @t52 @t1) (tptp.c_Set_Oinsert @t42 (tptp.c_Set_Oinsert @t51 @t3 @t1) @t1)))) % 0.45/0.80 (assume @p12 (forall @t65 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t1) @t56))) % 0.45/0.80 (assume @p13 (forall (@list @t69 @t68 @t66) (not (= @t70 @t67)))) % 0.45/0.80 (assume @p14 (forall (@list @t1 @t71) (= (tptp.hAPP @t72 @t71) @t71))) % 0.45/0.80 (assume @p15 (forall (@list @t71 @t4 @t75 @t1 @t73 @t74) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t4 @t75 @t1) @t73) @t74) (tptp.hAPP (tptp.hAPP @t71 @t74) @t73)))) % 0.45/0.80 (assume @p16 (forall (@list @t42 @t40 @t31 @t1) (= (tptp.c_Set_Oinsert @t42 @t77 @t1) (tptp.c_Set_Oinsert @t40 @t76 @t1)))) % 0.45/0.80 (assume @p17 (forall @t81 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t80 @t1) @t79))) % 0.45/0.80 (assume @p18 (forall (@list @t83 @t66 @t82 @t69 @t68) (not (= @t84 @t70)))) % 0.45/0.80 (assume @p19 (forall @t85 (or @t46 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t42 @t1) @t42)))) % 0.45/0.80 (assume @p20 (forall @t86 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t31 @t2) @t31))) % 0.45/0.80 (assume @p21 (forall (@list @t4 @t87 @t1) (= (tptp.c_Fun_Ocomp @t88 @t87 @t4 @t4 @t1) @t87))) % 0.45/0.80 (assume @p22 (forall (@list @t7 @t1 @t4) (= (tptp.c_Fun_Ocomp @t7 @t89 @t1 @t4 @t1) @t7))) % 0.45/0.80 (assume @p23 (forall @t92 (or @t91 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t41 @t42 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t90 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t42 @t1) @t1))))) % 0.45/0.80 (assume @p24 (forall @t47 (or @t91 (= @t96 @t95)))) % 0.45/0.80 (assume @p25 (forall @t36 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t34 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t98 @t97 @t2)))) % 0.45/0.80 (assume @p26 (forall @t101 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t31 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t100 @t99 @t2)))) % 0.45/0.80 (assume @p27 (forall @t106 (or @t105 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t87 @t104) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t103 @t102 @t4))))) % 0.45/0.80 (assume @p28 (forall (@list @t11 @t28 @t1) (or (= @t11 @t28) (not (tptp.hBOOL (tptp.hAPP @t109 @t107)))))) % 0.45/0.80 (assume @p29 (forall (@list @t66 @t69 @t68) (not (= @t67 @t70)))) % 0.45/0.80 (assume @p30 (forall (@list @t53 @t69 @t68 @t83 @t66 @t82) (not (= @t110 @t84)))) % 0.45/0.80 (assume @p31 (forall (@list @t4 @t113 @t111 @t31 @t1) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t4)) (tptp.c_lessequals (tptp.hAPP @t113 @t111) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t31 @t113 @t1 @t4) @t4) (not (tptp.hBOOL (tptp.hAPP @t112 @t31)))))) % 0.45/0.80 (assume @p32 (forall (@list @t118 @t53 @t117 @t82 @t115 @t114) (not (= @t119 @t116)))) % 0.45/0.80 (assume @p33 (forall (@list @t83 @t66 @t82 @t78) (not (= @t84 @t120)))) % 0.45/0.80 (assume @p34 (forall (@list @t54 @t53 @t115 @t114) (not (= @t57 @t121)))) % 0.45/0.80 (assume @p35 (forall @t124 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t119 @t1) (tptp.hAPP @t123 @t122)))) % 0.45/0.80 (assume @p36 (forall @t126 (= (tptp.c_Set_Oimage @t72 @t125 @t1 @t1) @t125))) % 0.45/0.80 (assume @p37 (forall @t129 (or @t128 @t127))) % 0.45/0.80 (assume @p38 (forall @t129 (or @t128 @t130))) % 0.45/0.80 (assume @p39 (forall @t129 (or @t128 @t131))) % 0.45/0.80 (assume @p40 (forall @t135 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t70 @t1) (tptp.hAPP (tptp.hAPP @t134 @t133) @t132)))) % 0.45/0.80 (assume @p41 (forall (@list @t4) (or (not (tptp.class_Orderings_Obot @t4)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t104) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t4))))) % 0.45/0.80 (assume @p42 (forall (@list @t66 @t118 @t53 @t117) (not (= @t67 @t119)))) % 0.45/0.80 (assume @p43 (forall (@list @t1 @t7 @t31 @t4) (or (not (= @t3 @t137)) @t136))) % 0.45/0.80 (assume @p44 (forall @t139 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t138 @t30 @t2) (tptp.c_Set_Oinsert @t28 @t34 @t1)))) % 0.45/0.80 (assume @p45 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t138 @t2) (tptp.c_Set_Oinsert @t28 @t37 @t1)))) % 0.45/0.80 (assume @p46 (forall (@list @t54 @t53 @t66) (not (= @t57 @t67)))) % 0.45/0.80 (assume @p47 (forall @t85 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t141 @t42 @t1)))) % 0.45/0.80 (assume @p48 (forall @t144 (or @t143 @t142))) % 0.45/0.80 (assume @p49 (forall @t144 (or @t143 @t145))) % 0.45/0.80 (assume @p50 (forall (@list @t69 @t68 @t82 @t115 @t114) (not (= @t70 @t116)))) % 0.45/0.80 (assume @p51 (forall @t147 (not (= @t146 @t3)))) % 0.45/0.80 (assume @p52 (forall (@list @t115 @t114 @t118 @t53 @t117) (not (= @t121 @t119)))) % 0.45/0.80 (assume @p53 (forall (@list @t148 @t28 @t7 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t28) (tptp.c_Set_Ovimage @t7 (tptp.c_Set_Oinsert @t149 @t3 @t1) @t148 @t1))))) % 0.45/0.80 (assume @p54 (forall (@list @t28 @t31 @t1 @t33) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t146 @t138 @t2) @t151))) % 0.45/0.80 (assume @p55 (forall @t152 (= (tptp.c_Set_Oinsert @t42 @t76 @t1) @t76))) % 0.45/0.80 (assume @p56 (forall (@list @t154 @t82 @t153 @t54 @t53) (not (= @t155 @t57)))) % 0.45/0.80 (assume @p57 (forall (@list @t31 @t42 @t40 @t1) (or @t157 (= @t40 @t42) (not @t156)))) % 0.45/0.80 (assume @p58 (forall (@list @t31 @t33 @t4 @t1 @t42) (or (not (= @t162 @t3)) @t161 @t159))) % 0.45/0.80 (assume @p59 (forall (@list @t66 @t54 @t53) (not (= @t67 @t57)))) % 0.45/0.80 (assume @p60 (forall (@list @t82 @t115 @t114 @t118 @t53 @t117) (not (= @t116 @t119)))) % 0.45/0.80 (assume @p61 (forall @t85 (or @t163 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t141 @t1) @t141)))) % 0.45/0.80 (assume @p62 (forall @t85 (or @t163 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t141 @t42 @t1) @t141)))) % 0.45/0.80 (assume @p63 (forall @t164 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t33 @t2) @t3))) % 0.45/0.80 (assume @p64 (forall @t86 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t3 @t2) @t3))) % 0.45/0.80 (assume @p65 (forall (@list @t82 @t115 @t114 @t69 @t68) (not (= @t116 @t70)))) % 0.45/0.80 (assume @p66 (forall (@list @t31 @t166 @t165 @t1 @t4) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t31 @t166) @t167 @t5) @t167) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t166) @t165)))))) % 0.45/0.80 (assume @p67 (forall (@list @t174 @t28 @t11 @t1 @t170 @t175 @t173 @t172 @t171 @t169 @t168) (or (= (tptp.hAPP @t174 @t179) (tptp.hAPP @t177 @t11)) @t176))) % 0.45/0.80 (assume @p68 (forall (@list @t175 @t28 @t11 @t1 @t171 @t174 @t173 @t172 @t170 @t169 @t168) (or (= (tptp.hAPP @t175 @t179) (tptp.hAPP @t180 @t11)) @t176))) % 0.45/0.81 (assume @p69 (forall @t182 (or @t181 @t142))) % 0.45/0.81 (assume @p70 (forall @t182 (or @t181 @t145))) % 0.45/0.81 (assume @p71 (forall @t182 (or @t181 @t127))) % 0.45/0.81 (assume @p72 (forall (@list @t83 @t66 @t82 @t53 @t69 @t68) (not (= @t84 @t110)))) % 0.45/0.81 (assume @p73 (forall (@list @t7 @t87 @t4 @t1 @t75 @t42) (= @t184 @t183))) % 0.45/0.81 (assume @p74 (forall (@list @t28 @t11 @t185 @t75 @t4 @t1) (= @t187 (tptp.hAPP @t186 @t185)))) % 0.45/0.81 (assume @p75 (forall (@list @t42 @t40) (or (not (= (tptp.c_Suc @t42) (tptp.c_Suc @t40))) @t188))) % 0.45/0.81 (assume @p76 (forall (@list @t190 @t189) (or (not (= (tptp.c_Suc @t190) (tptp.c_Suc @t189))) (= @t190 @t189)))) % 0.45/0.81 (assume @p77 (forall (@list @t54 @t53 @t154 @t82 @t153) (not (= @t57 @t155)))) % 0.45/0.81 (assume @p78 (forall @t193 (or @t192 @t157 (not @t191)))) % 0.45/0.81 (assume @p79 (forall @t195 (or @t191 @t194))) % 0.45/0.81 (assume @p80 (forall @t195 (or @t191 @t196))) % 0.45/0.81 (assume @p81 (forall (@list @t11 @t15 @t16) (or (tptp.c_Com_OWT @t17) @t199 @t197))) % 0.45/0.81 (assume @p82 (forall @t126 (= (tptp.c_Set_Ovimage @t72 @t125 @t1 @t1) @t125))) % 0.45/0.81 (assume @p83 (forall (@list @t53 @t69 @t68 @t66) (not (= @t110 @t67)))) % 0.45/0.81 (assume @p84 (forall (@list @t66 @t53 @t69 @t68) (not (= @t67 @t110)))) % 0.45/0.81 (assume @p85 (forall @t47 (or @t50 @t202))) % 0.45/0.81 (assume @p86 (forall @t47 (or @t50 @t203))) % 0.45/0.81 (assume @p87 (forall @t47 (or @t204 @t203))) % 0.45/0.81 (assume @p88 (forall @t47 (or @t204 @t202))) % 0.45/0.81 (assume @p89 (forall @t38 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t98 @t30 @t2) @t206))) % 0.45/0.81 (assume @p90 (forall @t36 (= @t206 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t97 @t2)))) % 0.45/0.81 (assume @p91 (forall (@list @t1 @t31 @t33 @t4 @t42) (or (not (= @t3 @t162)) @t161 @t159))) % 0.45/0.81 (assume @p92 (forall @t85 (or @t163 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t141 @t1) @t42)))) % 0.45/0.81 (assume @p93 (forall @t85 (or @t163 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t141 @t42 @t1) @t42)))) % 0.45/0.81 (assume @p94 (forall @t164 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t33 @t2) @t33))) % 0.45/0.81 (assume @p95 (forall @t86 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t3 @t2) @t31))) % 0.45/0.81 (assume @p96 (forall (@list @t4 @t31 @t1 @t33) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t6 @t31 @t4 @t2) @t33 @t2) @t33))) % 0.45/0.81 (assume @p97 (forall (@list @t31 @t4 @t33 @t1) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t207 @t2) @t31))) % 0.45/0.81 (assume @p98 (forall (@list @t54 @t53 @t82 @t115 @t114) (not (= @t57 @t116)))) % 0.45/0.81 (assume @p99 (forall @t85 (not (tptp.hBOOL (tptp.hAPP @t3 @t42))))) % 0.45/0.81 (assume @p100 (forall (@list @t1 @t42 @t33 @t31) (or @t212 @t210 (not (= @t98 @t3))))) % 0.45/0.81 (assume @p101 (forall @t47 (or @t50 (tptp.c_lessequals @t214 @t213 @t1)))) % 0.45/0.81 (assume @p102 (forall @t215 (or @t50 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t94 @t1) @t42)))) % 0.45/0.81 (assume @p103 (forall (@list @t115 @t114 @t54 @t53) (not (= @t121 @t57)))) % 0.45/0.81 (assume @p104 (forall @t222 (or (= @t217 @t216) @t221 @t219))) % 0.45/0.81 (assume @p105 (forall (@list @t225 @t20 @t223 @t10) (or (= @t225 @t20) (not (tptp.c_Natural_Oevalc @t223 @t10 @t225)) (not @t224)))) % 0.45/0.81 (assume @p106 (forall @t215 (or @t230 @t188 @t229 @t227))) % 0.45/0.81 (assume @p107 (forall @t215 (or @t230 @t188 @t227 @t229))) % 0.45/0.81 (assume @p108 (forall @t215 (or @t50 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t44 @t1) @t42)))) % 0.45/0.81 (assume @p109 (forall @t215 (or @t46 (= @t44 @t42) @t229))) % 0.45/0.81 (assume @p110 (forall @t47 (or @t50 @t45))) % 0.45/0.81 (assume @p111 (forall @t215 (or @t204 @t231 @t227))) % 0.45/0.81 (assume @p112 (forall @t215 (or @t204 (not @t231) @t226))) % 0.45/0.81 (assume @p113 (forall @t215 (or @t204 (= @t94 @t40) @t229))) % 0.45/0.81 (assume @p114 (forall (@list @t29 @t232 @t28) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t29 @t232 @t28)) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY @t232)))))) % 0.45/0.81 (assume @p115 (forall (@list @t71 @t29 @t28) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY @t71)) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t29 @t71 @t28)))))) % 0.45/0.81 (assume @p116 (forall @t239 (or @t46 @t238 @t236 @t234))) % 0.45/0.81 (assume @p117 (forall @t215 (or @t46 @t240))) % 0.45/0.81 (assume @p118 (forall @t242 (or @t46 @t241))) % 0.45/0.81 (assume @p119 (forall @t92 (or @t46 (tptp.c_lessequals @t41 @t42 @t1) (not @t243) @t229))) % 0.45/0.81 (assume @p120 (forall @t47 (or @t46 @t248 @t247 @t245))) % 0.45/0.81 (assume @p121 (forall @t242 (or @t50 @t241))) % 0.45/0.81 (assume @p122 (forall @t215 (or @t50 @t240))) % 0.45/0.81 (assume @p123 (forall @t249 (= @t98 @t100))) % 0.45/0.81 (assume @p124 (forall @t215 (or @t204 @t250))) % 0.45/0.81 (assume @p125 (forall @t215 (or @t50 @t250))) % 0.45/0.81 (assume @p126 (forall (@list @t174 @t175 @t173 @t1 @t172 @t170 @t171 @t168 @t169) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t174 @t175 (tptp.c_COMBC @t173 @t1 @t1 tptp.tc_bool) (tptp.c_COMBC @t172 @t1 @t1 tptp.tc_bool) @t170 @t171 @t168 @t169 @t1) @t176))) % 0.45/0.81 (assume @p127 (forall @t47 (or @t50 (tptp.c_lessequals @t95 @t96 @t1)))) % 0.45/0.81 (assume @p128 (forall (@list @t54 @t53 @t83 @t66 @t82) (not (= @t57 @t84)))) % 0.45/0.81 (assume @p129 (forall (@list @t28 @t1 @t11) (or (not (= @t107 @t178)) @t251))) % 0.45/0.81 (assume @p130 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t98 @t205 @t2) @t99 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t34 @t2) @t252 @t2)))) % 0.45/0.81 (assume @p131 (forall (@list @t42 @t51 @t1) (or (not (= (tptp.c_Set_Oinsert @t42 @t51 @t1) @t3)) (tptp.hBOOL (tptp.hAPP @t208 @t51))))) % 0.45/0.81 (assume @p132 (forall (@list @t118 @t53 @t117 @t66) (not (= @t119 @t67)))) % 0.45/0.81 (assume @p133 (forall (@list @t78 @t83 @t66 @t82) (not (= @t120 @t84)))) % 0.45/0.81 (assume @p134 (forall (@list @t83 @t66 @t82 @t118 @t53 @t117) (not (= @t84 @t119)))) % 0.45/0.81 (assume @p135 (forall @t222 (or @t219 (not @t254)))) % 0.45/0.81 (assume @p136 (forall @t255 (or @t254 @t218))) % 0.45/0.81 (assume @p137 (forall (@list @t40 @t31 @t1 @t42) (or @t156 @t196))) % 0.45/0.81 (assume @p138 (forall (@list @t7 @t42 @t31 @t1 @t4) (or (= (tptp.c_Set_Oinsert @t257 @t256 @t4) @t256) @t210))) % 0.45/0.81 (assume @p139 (forall @t140 (or (= @t260 @t98) @t259))) % 0.45/0.81 (assume @p140 (forall @t139 (or (= @t262 @t205) @t261))) % 0.45/0.81 (assume @p141 (forall @t249 (or @t263 (= @t33 @t3)))) % 0.45/0.81 (assume @p142 (forall @t249 (or @t263 (= @t31 @t3)))) % 0.45/0.81 (assume @p143 (forall @t265 (or @t163 @t264 (= @t31 @t141)))) % 0.45/0.81 (assume @p144 (forall @t265 (or @t163 @t264 (= @t33 @t141)))) % 0.45/0.81 (assume @p145 (forall (@list @t28 @t11 @t75 @t4 @t1 @t223 @t185) (or (not (= @t186 (tptp.c_Fun_Ocomp @t88 @t223 @t4 @t4 @t1))) (= @t187 (tptp.hAPP @t223 @t185))))) % 0.45/0.81 (assume @p146 (forall @t270 (or @t204 @t269 @t268))) % 0.45/0.81 (assume @p147 (forall (@list @t1 @t42 @t11 @t28) (or @t204 @t271 @t268))) % 0.45/0.81 (assume @p148 (forall @t239 (or @t204 @t272 @t234))) % 0.45/0.81 (assume @p149 (forall @t239 (or @t204 @t272 @t236))) % 0.45/0.81 (assume @p150 (forall @t47 (or @t204 @t226 @t274))) % 0.45/0.81 (assume @p151 (forall @t275 (or @t204 @t244 @t274))) % 0.45/0.81 (assume @p152 (forall (@list @t1 @t31) (= (tptp.c_Set_Ovimage @t89 @t31 @t1 @t1) @t31))) % 0.45/0.81 (assume @p153 (forall @t135 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t70 @t1) @t134))) % 0.45/0.81 (assume @p154 (forall (@list @t118 @t53 @t117 @t115 @t114) (not (= @t119 @t121)))) % 0.45/0.81 (assume @p155 (forall (@list @t87 @t7 @t75 @t4 @t1 @t42) (= (tptp.c_Set_Ovimage (tptp.c_Fun_Ocomp @t87 @t7 @t75 @t4 @t1) @t42 @t1 @t4) (tptp.c_Set_Ovimage @t7 (tptp.c_Set_Ovimage @t87 @t42 @t75 @t4) @t1 @t75)))) % 0.45/0.81 (assume @p156 (forall @t249 (= @t37 @t276))) % 0.45/0.81 (assume @p157 (forall @t215 (or @t46 @t278))) % 0.45/0.81 (assume @p158 (forall @t215 (or @t50 @t278))) % 0.45/0.81 (assume @p159 (forall @t126 (= (tptp.c_Set_Oimage @t89 @t125 @t1 @t1) @t125))) % 0.45/0.81 (assume @p160 (forall (@list @t78 @t66) (or (not (= @t120 @t67)) @t130))) % 0.45/0.81 (assume @p161 (forall @t81 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t80 @t1) @t79))) % 0.45/0.81 (assume @p162 (forall @t147 (= @t146 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t31 @t2)))) % 0.45/0.81 (assume @p163 (forall @t279 (tptp.c_lessequals @t253 @t253 tptp.tc_nat))) % 0.45/0.81 (assume @p164 (forall @t249 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t37 @t2) @t37))) % 0.45/0.81 (assume @p165 (forall @t215 (or @t46 @t280))) % 0.45/0.81 (assume @p166 (forall @t215 (or @t50 @t280))) % 0.45/0.81 (assume @p167 (forall (@list @t1 @t7 @t4) (= @t3 @t8))) % 0.45/0.81 (assume @p168 (forall (@list @t125 @t28 @t223) (or @t283 @t282))) % 0.45/0.81 (assume @p169 (forall (@list @t223 @t125 @t28) (or @t281 (not @t283)))) % 0.45/0.81 (assume @p170 (forall @t285 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t120 @t1) @t284))) % 0.45/0.81 (assume @p171 (forall @t289 (= (tptp.c_Set_Ovimage @t7 @t288 @t1 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t287 @t286 @t2)))) % 0.45/0.81 (assume @p172 (forall (@list @t69 @t68 @t83 @t66 @t82) (not (= @t70 @t84)))) % 0.45/0.81 (assume @p173 (forall @t222 (or (= @t217 @t253) @t218 (not @t290)))) % 0.45/0.81 (assume @p174 (forall @t65 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t1) @t56))) % 0.45/0.81 (assume @p175 (forall (@list @t82 @t115 @t114 @t54 @t53) (not (= @t116 @t57)))) % 0.45/0.81 (assume @p176 (forall @t193 (or @t192 @t292))) % 0.45/0.81 (assume @p177 (forall (@list @t31 @t42 @t33 @t1) (or @t157 @t292))) % 0.45/0.81 (assume @p178 (forall @t85 (= (tptp.hAPP @t89 @t42) @t42))) % 0.45/0.81 (assume @p179 (forall @t294 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t110 @t1) (tptp.hAPP (tptp.hAPP @t293 @t133) @t132)))) % 0.45/0.81 (assume @p180 (forall @t289 (= (tptp.c_Set_Ovimage @t7 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t33 @t5) @t1 @t4) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t287 @t286 @t2)))) % 0.45/0.81 (assume @p181 (forall @t301 (or @t300 @t299 @t297))) % 0.45/0.81 (assume @p182 (forall (@list @t1 @t111 @t173 @t172 @t302 @t225) (or @t307 (not @t306) @t304))) % 0.45/0.81 (assume @p183 (forall (@list @t1 @t28 @t11 @t31) (or @t309 @t308))) % 0.45/0.81 (assume @p184 (forall (@list @t1 @t28 @t11 @t33) (or (tptp.hBOOL (tptp.hAPP @t258 (tptp.c_Set_Oinsert @t11 @t33 @t1))) (not (tptp.hBOOL (tptp.hAPP @t258 @t33)))))) % 0.45/0.81 (assume @p185 (forall (@list @t1 @t111 @t173 @t302 @t225) (or @t311 (not @t310) @t304))) % 0.45/0.81 (assume @p186 (forall @t301 (or @t312 @t297))) % 0.45/0.81 (assume @p187 (forall @t301 (or @t312 @t299))) % 0.45/0.81 (assume @p188 (forall @t85 @t313)) % 0.45/0.81 (assume @p189 (forall @t315 (or @t314 @t313))) % 0.45/0.81 (assume @p190 (forall (@list @t1 @t223) (not (tptp.hBOOL (tptp.hAPP @t295 @t3))))) % 0.45/0.81 (assume @p191 (forall (@list @t1 @t28) (not (tptp.hBOOL (tptp.hAPP @t258 @t3))))) % 0.45/0.81 (assume @p192 (forall (@list @t1 @t28 @t31 @t11) (or @t259 @t251 (not @t309)))) % 0.45/0.81 (assume @p193 (forall @t316 (or @t298 @t296 (not @t312)))) % 0.45/0.81 (assume @p194 (forall @t319 (or (tptp.hBOOL (tptp.hAPP @t71 @t318)) @t317 @t210))) % 0.45/0.81 (assume @p195 (forall (@list @t1 @t42 @t31) (tptp.hBOOL (tptp.hAPP @t208 @t76)))) % 0.45/0.81 (assume @p196 (forall (@list @t1 @t28 @t33) (tptp.hBOOL (tptp.hAPP @t258 @t138)))) % 0.45/0.81 (assume @p197 (forall (@list @t1 @t42 @t33) (tptp.hBOOL (tptp.hAPP @t208 @t320)))) % 0.45/0.81 (assume @p198 (forall @t316 (or @t298 @t321))) % 0.45/0.81 (assume @p199 (forall @t301 (or @t296 @t321))) % 0.45/0.81 (assume @p200 (forall @t315 (or @t317 @t313))) % 0.45/0.81 (assume @p201 (forall (@list @t1 @t74 @t322) (or (not (= (tptp.hAPP @t323 @t74) (tptp.hAPP @t323 @t322))) (= @t74 @t322)))) % 0.45/0.81 (assume @p202 (forall (@list @t42 @t31 @t1 @t33) (or (not (= @t76 @t320)) @t211 @t209 (= @t31 @t33)))) % 0.45/0.81 (assume @p203 (forall (@list @t1 @t11 @t31 @t33 @t4 @t42) (or (tptp.hBOOL (tptp.hAPP @t109 @t162)) (not (tptp.hBOOL (tptp.hAPP @t109 @t160))) @t159))) % 0.45/0.81 (assume @p204 (forall (@list @t4 @t11 @t31 @t33 @t1 @t28) (or (tptp.hBOOL (tptp.hAPP @t325 @t326)) (not (tptp.hBOOL (tptp.hAPP @t325 @t324))) @t308))) % 0.45/0.81 (assume @p205 (forall (@list @t1 @t28 @t7 @t33 @t4) (or @t329 (not @t328)))) % 0.45/0.81 (assume @p206 (forall (@list @t4 @t28 @t7 @t31 @t1) (or (tptp.hBOOL (tptp.hAPP @t331 (tptp.c_Set_Ovimage @t7 @t31 @t4 @t1))) (not (tptp.hBOOL (tptp.hAPP @t330 @t31)))))) % 0.45/0.81 (assume @p207 (forall (@list @t4 @t28 @t7 @t33 @t1) (or (tptp.hBOOL (tptp.hAPP @t331 (tptp.c_Set_Ovimage @t7 @t33 @t4 @t1))) (not (tptp.hBOOL (tptp.hAPP @t330 @t33)))))) % 0.45/0.81 (assume @p208 (forall (@list @t4 @t7 @t28 @t33 @t1) (or @t328 (not @t329)))) % 0.45/0.81 (assume @p209 (forall @t215 (or @t46 (not @t332) @t226))) % 0.45/0.81 (assume @p210 (forall @t215 (or @t46 @t332 @t227))) % 0.45/0.81 (assume @p211 (forall @t337 (or @t336 @t335 @t333))) % 0.45/0.81 (assume @p212 (forall @t337 (or @t336 @t338 @t333))) % 0.45/0.81 (assume @p213 (forall @t337 (or @t336 @t335 @t339))) % 0.45/0.81 (assume @p214 (forall @t337 (or @t336 @t338 @t339))) % 0.45/0.81 (assume @p215 (forall (@list @t21 @t10 @t20 @t11 @t16) (or @t340 @t12 @t23))) % 0.45/0.81 (assume @p216 (forall @t19 (or @t18 (not (tptp.c_Natural_Oevalc @t16 @t10 @t14)) @t12))) % 0.45/0.81 (assume @p217 (forall (@list @t28 @t31 @t4 @t33 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t28 @t31 @t4) @t33 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t324 @t162 @t2)))) % 0.45/0.81 (assume @p218 (forall @t346 (or @t345 (= @t342 @t341)))) % 0.45/0.81 (assume @p219 (forall @t346 (or @t345 @t347))) % 0.45/0.81 (assume @p220 (forall @t346 (or @t345 (= @t344 @t343)))) % 0.45/0.81 (assume @p221 (forall (@list @t21 @t16) (or @t349 @t348))) % 0.45/0.81 (assume @p222 (forall (@list @t16 @t21) (or @t198 @t348))) % 0.45/0.81 (assume @p223 (forall (@list @t1 @t31 @t33 @t71 @t51) (or @t353 @t351 @t350))) % 0.45/0.81 (assume @p224 (forall (@list @t1 @t31 @t33 @t71 @t42) (or @t353 @t317 @t212))) % 0.45/0.81 (assume @p225 (forall (@list @t174 @t28 @t31 @t1 @t170 @t175 @t173 @t172 @t171 @t169 @t168) (or (= (tptp.hAPP @t174 @t146) (tptp.hAPP @t177 @t354)) @t176))) % 0.45/0.81 (assume @p226 (forall (@list @t175 @t28 @t31 @t1 @t171 @t174 @t173 @t172 @t170 @t169 @t168) (or (= (tptp.hAPP @t175 @t146) (tptp.hAPP @t180 @t355)) @t176))) % 0.45/0.81 (assume @p227 (forall (@list @t1 @t28 @t31) (not (= @t3 @t146)))) % 0.45/0.81 (assume @p228 (forall @t124 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t119 @t1) @t123))) % 0.45/0.81 (assume @p229 (forall @t139 (or (= @t262 (tptp.c_Set_Oinsert @t28 @t205 @t1)) (not @t261)))) % 0.45/0.81 (assume @p230 (forall @t140 (or (= @t260 @t151) @t308))) % 0.45/0.81 (assume @p231 (forall @t358 (= (tptp.c_Set_Oimage @t7 @t357 @t4 @t1) (tptp.c_Set_Oinsert @t149 @t356 @t1)))) % 0.45/0.81 (assume @p232 (forall (@list @t7 @t87 @t4 @t75 @t1 @t42) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t7 @t87 @t4 @t75 @t1) @t42) (tptp.hAPP @t87 @t257)))) % 0.45/0.81 (assume @p233 (forall (@list @t7 @t28 @t11 @t1 @t4) (or (= @t149 @t11) (not (tptp.hBOOL (tptp.hAPP @t258 (tptp.c_Set_Ovimage @t7 (tptp.c_Set_Oinsert @t11 @t6 @t4) @t1 @t4))))))) % 0.45/0.81 (assume @p234 (forall @t215 (or @t50 @t359))) % 0.45/0.81 (assume @p235 (forall @t215 (or @t50 @t360))) % 0.45/0.81 (assume @p236 (forall @t47 (or @t204 @t273 @t245 @t227))) % 0.45/0.81 (assume @p237 (forall @t270 (or @t204 @t267 @t362 @t361))) % 0.45/0.81 (assume @p238 (forall @t215 (or @t204 @t360))) % 0.45/0.81 (assume @p239 (forall @t215 (or @t204 @t359))) % 0.45/0.81 (assume @p240 (forall (@list @t7 @t87 @t364 @t363 @t75 @t1 @t4) (= (tptp.c_Fun_Ocomp @t7 (tptp.c_Fun_Ocomp @t87 @t364 @t363 @t75 @t1) @t75 @t4 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t7 @t87 @t75 @t4 @t363) @t364 @t363 @t4 @t1)))) % 0.45/0.81 (assume @p241 (forall @t367 (or @t366 @t127))) % 0.45/0.81 (assume @p242 (forall @t367 (or @t366 @t131))) % 0.45/0.81 (assume @p243 (forall (@list @t83 @t66 @t82 @t54 @t53) (not (= @t84 @t57)))) % 0.45/0.81 (assume @p244 (forall (@list @t28 @t4 @t33 @t1) (= (tptp.c_Set_Oinsert @t28 @t207 @t1) @t107))) % 0.45/0.81 (assume @p245 (forall @t222 (or @t218 (not (tptp.c_lessequals @t368 @t216 tptp.tc_nat))))) % 0.45/0.81 (assume @p246 (forall @t222 (or @t290 @t219))) % 0.45/0.81 (assume @p247 (forall @t92 (or @t91 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t200 @t42 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t277 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t42 @t1) @t1))))) % 0.45/0.81 (assume @p248 (forall @t47 (or @t91 (= @t214 @t213)))) % 0.45/0.81 (assume @p249 (forall @t36 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t205 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t32 @t2)))) % 0.45/0.81 (assume @p250 (forall @t101 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t205 @t31 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t276 @t252 @t2)))) % 0.45/0.81 (assume @p251 (forall @t152 (tptp.hBOOL (tptp.hAPP @t76 @t42)))) % 0.45/0.81 (assume @p252 (forall @t279 (not (tptp.c_lessequals @t253 @t216 tptp.tc_nat)))) % 0.45/0.81 (assume @p253 (forall @t215 (or @t50 @t369))) % 0.45/0.81 (assume @p254 (forall @t215 (or @t204 @t369))) % 0.45/0.81 (assume @p255 (forall @t249 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t98 @t2) @t98))) % 0.45/0.81 (assume @p256 (forall @t371 (or @t370 @t347))) % 0.45/0.81 (assume @p257 (forall @t371 (or @t370 @t127))) % 0.45/0.81 (assume @p258 (forall @t371 (or @t370 (= @t118 @t154)))) % 0.45/0.81 (assume @p259 (forall (@list @t15 @t16) (or (tptp.c_Com_OWT @t27) @t199 @t197))) % 0.45/0.81 (assume @p260 (forall @t9 (= (tptp.c_Fun_Ofcomp @t7 @t88 @t1 @t4 @t4) @t7))) % 0.45/0.81 (assume @p261 (forall (@list @t1 @t87 @t4) (= (tptp.c_Fun_Ofcomp @t89 @t87 @t1 @t1 @t4) @t87))) % 0.45/0.81 (assume @p262 (forall (@list @t7 @t87 @t75 @t1 @t4 @t372) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t7 @t87 @t75 @t1 @t4) @t372 @t4 @t1) (tptp.c_Set_Oimage @t7 (tptp.c_Set_Oimage @t87 @t372 @t4 @t75) @t75 @t1)))) % 0.45/0.81 (assume @p263 (forall (@list @t174 @t1 @t169 @t175 @t173 @t172 @t171 @t170 @t168) (or (= (tptp.hAPP @t174 @t3) @t169) @t176))) % 0.45/0.81 (assume @p264 (forall (@list @t175 @t1 @t168 @t174 @t173 @t172 @t171 @t170 @t169) (or (= (tptp.hAPP @t175 @t3) @t168) @t176))) % 0.45/0.81 (assume @p265 (forall @t279 (not (= @t253 @t216)))) % 0.45/0.81 (assume @p266 (forall @t279 (not (= @t216 @t253)))) % 0.45/0.81 (assume @p267 (forall @t85 (or @t204 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t42 @t1) @t42)))) % 0.45/0.81 (assume @p268 (forall @t86 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t31 @t2) @t31))) % 0.45/0.81 (assume @p269 (forall @t92 (or @t46 @t246 @t373))) % 0.45/0.81 (assume @p270 (forall @t275 (or @t46 @t244 @t373))) % 0.45/0.81 (assume @p271 (forall @t270 (or @t46 @t374 @t362))) % 0.45/0.81 (assume @p272 (forall @t270 (or @t46 @t374 @t361))) % 0.45/0.81 (assume @p273 (forall (@list @t1 @t11 @t42 @t28) (or @t46 @t235 @t375))) % 0.45/0.81 (assume @p274 (forall (@list @t1 @t28 @t42 @t11) (or @t46 @t233 @t375))) % 0.45/0.81 (assume @p275 (forall @t106 (or @t105 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t87 @t104) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t103 @t102 @t4))))) % 0.45/0.81 (assume @p276 (forall (@list @t1 @t39 @t42 @t40) (or @t230 @t243 (not (tptp.c_lessequals @t39 @t40 @t1)) @t229))) % 0.45/0.81 (assume @p277 (forall @t275 (or @t376 @t244 @t247 @t227))) % 0.45/0.81 (assume @p278 (forall @t279 (tptp.c_lessequals @t216 @t216 tptp.tc_nat))) % 0.45/0.81 (assume @p279 (forall (@list @t111 @t166 @t377) (or (tptp.c_lessequals @t111 @t166 tptp.tc_nat) (not (tptp.c_lessequals @t377 @t166 tptp.tc_nat)) (not (tptp.c_lessequals @t111 @t377 tptp.tc_nat))))) % 0.45/0.81 (assume @p280 (forall (@list @t42) (tptp.c_lessequals @t42 @t42 tptp.tc_nat))) % 0.45/0.81 (assume @p281 (forall @t85 (or @t230 @t378))) % 0.45/0.81 (assume @p282 (forall @t85 (or @t376 @t378))) % 0.45/0.81 (assume @p283 (forall (@list @t7 @t31 @t4 @t1) (or (not (= @t137 @t3)) @t136))) % 0.45/0.81 (assume @p284 (forall @t285 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t120 @t1) @t284))) % 0.45/0.81 (assume @p285 (forall (@list @t174 @t28 @t1 @t175 @t173 @t172 @t171 @t170 @t169 @t168) (or (= (tptp.hAPP @t174 @t107) @t28) @t176))) % 0.45/0.81 (assume @p286 (forall (@list @t175 @t28 @t1 @t174 @t173 @t172 @t171 @t170 @t169 @t168) (or (= (tptp.hAPP @t175 @t107) @t28) @t176))) % 0.45/0.81 (assume @p287 (forall @t85 (tptp.hBOOL (tptp.hAPP @t208 @t52)))) % 0.45/0.81 (assume @p288 (forall @t294 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t110 @t1) @t293))) % 0.45/0.81 (assume @p289 (forall (@list @t28 @t11 @t75 @t4 @t1 @t223 @t334 @t363 @t185) (or (not (= @t186 (tptp.c_Fun_Ocomp @t223 @t334 @t363 @t4 @t1))) (= @t187 (tptp.hAPP @t223 (tptp.hAPP @t334 @t185)))))) % 0.45/0.81 (assume @p290 (forall (@list @t7 @t87 @t42 @t382 @t381 @t379 @t4 @t1 @t75 @t363 @t380) (or (not (= @t183 (tptp.hAPP @t382 (tptp.hAPP @t381 @t379)))) (= @t184 (tptp.hAPP (tptp.c_Fun_Ocomp @t382 @t381 @t363 @t1 @t380) @t379))))) % 0.45/0.81 (assume @p291 (forall @t358 (= (tptp.c_Set_Ovimage @t7 @t357 @t1 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t7 (tptp.c_Set_Oinsert @t28 @t6 @t4) @t1 @t4) @t286 @t2)))) % 0.45/0.81 (assume @p292 (forall (@list @t31 @t33 @t4 @t113 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t288 @t113 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t31 @t113 @t4 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t113 @t4 @t2) @t2)))) % 0.45/0.81 (assume @p293 (forall (@list @t31 @t7 @t42 @t1 @t4) (or @t384 (not @t383)))) % 0.45/0.81 (assume @p294 (forall (@list @t7 @t31 @t1 @t4 @t42) (or @t383 (not @t384)))) % 0.45/0.81 (assume @p295 (forall @t195 (or @t291 @t194 @t196))) % 0.45/0.81 (assume @p296 (forall (@list @t1) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t2) @t3))) % 0.45/0.81 (assume @p297 (forall @t289 (= (tptp.c_Set_Oimage @t7 @t288 @t4 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t356 @t2)))) % 0.45/0.81 (assume @p298 (forall @t9 (= (tptp.c_Set_Ovimage @t7 @t6 @t1 @t4) @t3))) % 0.45/0.81 (assume @p299 (forall (@list @t118 @t53 @t117 @t83 @t66 @t82) (not (= @t119 @t84)))) % 0.45/0.81 (assume @p300 (forall (@list @t21 @t10 @t20 @t16 @t11) (or @t340 @t24 @t23))) % 0.45/0.81 (assume @p301 (forall @t255 (or @t220 (not @t385)))) % 0.45/0.81 (assume @p302 (forall @t255 (or @t385 @t221))) % 0.45/0.81 (assume @p303 (forall (@list @t21 @t11 @t16) (or @t349 @t386))) % 0.45/0.81 (assume @p304 (forall (@list @t16 @t11 @t21) (or @t198 @t386))) % 0.45/0.81 (assume @p305 (forall (@list @t7 @t87 @t1 @t363 @t75 @t364 @t4) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t7 @t87 @t1 @t363 @t75) @t364 @t1 @t75 @t4) (tptp.c_Fun_Ofcomp @t7 (tptp.c_Fun_Ofcomp @t87 @t364 @t363 @t75 @t4) @t1 @t363 @t4)))) % 0.45/0.81 (assume @p306 (forall @t255 (or @t220 @t218))) % 0.45/0.81 (assume @p307 (forall @t242 (or (not (tptp.class_Orderings_Olinorder @t1)) @t228 @t226))) % 0.45/0.81 (assume @p308 (forall (@list @t4 @t7 @t28 @t31 @t1) (or (tptp.hBOOL (tptp.hAPP @t327 @t31)) (not (tptp.hBOOL (tptp.hAPP @t258 @t287)))))) % 0.45/0.81 (assume @p309 (forall (@list @t173 @t175 @t31 @t42 @t1 @t174 @t172 @t171 @t170 @t169 @t168) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t355) @t42)) @t210 @t176))) % 0.45/0.81 (assume @p310 (forall (@list @t173 @t42 @t174 @t31 @t1 @t175 @t172 @t171 @t170 @t169 @t168) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t42) @t354)) @t210 @t176))) % 0.45/0.81 (assume @p311 (forall (@list @t173 @t111 @t225 @t1 @t302) (or @t310 @t387))) % 0.45/0.81 (assume @p312 (forall (@list @t173 @t302 @t111 @t1 @t225) (or @t303 @t387))) % 0.45/0.81 (assume @p313 (forall (@list @t71 @t31 @t33 @t1 @t42) (or @t388 @t317 @t212))) % 0.45/0.81 (assume @p314 (forall (@list @t71 @t31 @t33 @t1 @t51) (or @t388 @t351 @t350))) % 0.45/0.81 (assume @p315 (forall @t389 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t318) @t31)) @t317 @t210))) % 0.45/0.81 (assume @p316 (forall @t147 (or (= @t146 @t31) @t308))) % 0.45/0.81 (assume @p317 (forall (@list @t1 @t111 @t172 @t166) (or @t391 (not @t390)))) % 0.45/0.81 (assume @p318 (forall (@list @t172 @t111 @t166 @t1) (or @t390 (not @t391)))) % 0.45/0.81 (assume @p319 (forall (@list @t31 @t33 @t1 @t4 @t75 @t11 @t223 @t42) (or @t393 (not (tptp.hBOOL (tptp.hAPP @t392 @t223))) @t210))) % 0.45/0.81 (assume @p320 (forall (@list @t31 @t33 @t1 @t4 @t11 @t42) (or @t394 (not (tptp.hBOOL @t392)) @t210))) % 0.45/0.81 (assume @p321 (forall (@list @t31 @t33 @t1 @t4 @t75 @t11 @t223 @t28) (or @t393 (not (tptp.hBOOL (tptp.hAPP @t395 @t223))) @t308))) % 0.45/0.81 (assume @p322 (forall (@list @t31 @t33 @t1 @t4 @t11 @t28) (or @t394 (not (tptp.hBOOL @t395)) @t308))) % 0.45/0.81 (assume @p323 (forall (@list @t172 @t111 @t225 @t1 @t173 @t302) (or @t306 @t396))) % 0.45/0.81 (assume @p324 (forall (@list @t173 @t302 @t111 @t1 @t172 @t225) (or @t303 @t396))) % 0.45/0.81 (assume @p325 (forall @t389 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t397) @t31)) @t317 @t210))) % 0.45/0.81 (assume @p326 (forall @t319 (or (tptp.hBOOL (tptp.hAPP @t71 @t397)) @t317 @t210))) % 0.45/0.81 (assume @p327 (forall (@list @t148 @t42 @t31 @t1 @t7) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t42) @t31))) (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Set_Oimage @t7 @t31 @t148 @t1)))))) % 0.45/0.81 (assume @p328 (forall (@list @t4 @t42 @t31 @t1 @t7) (or @t159 @t399))) % 0.45/0.81 (assume @p329 (forall (@list @t1 @t7 @t42 @t31 @t4) (or @t399 @t159))) % 0.45/0.81 (assume @p330 (forall (@list @t4 @t7 @t42 @t31 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t158 @t257) @t256)) @t210))) % 0.45/0.81 (assume @p331 (forall @t406 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t405 @t404 @t400) tptp.v_x) (tptp.hAPP @t402 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t74 @t322 @t400))))) % 0.45/0.81 (assume @p332 (forall @t406 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t405 @t404 @t400) tptp.v_x) (tptp.hAPP @t402 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t322 @t400))))) % 0.45/0.81 (assume @p333 (forall @t407 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t7 @t87 @t75 @t4 tptp.t_a) tptp.v_x) (tptp.hAPP @t7 @t102)))) % 0.45/0.81 (assume @p334 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 0.45/0.81 (assume @p335 (forall @t407 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t7 @t87 tptp.t_a @t75 @t4) tptp.v_x) (tptp.hAPP @t87 @t103)))) % 0.45/0.81 (assume @p336 (forall @t408 (not (= tptp.c_Com_Ocom_OSKIP @t121)))) % 0.45/0.81 (assume @p337 (forall @t409 (not (= @t365 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p338 (forall @t410 (not (= @t67 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p339 (forall @t411 (not (= @t84 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p340 (forall @t411 (not (= tptp.c_Com_Ocom_OSKIP @t84)))) % 0.45/0.81 (assume @p341 (forall @t408 (not (= @t121 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p342 (forall @t409 (not (= tptp.c_Com_Ocom_OSKIP @t365)))) % 0.45/0.81 (assume @p343 (forall @t412 (not (= @t155 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p344 (forall (@list @t10) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t10 @t10))) % 0.45/0.81 (assume @p345 (forall @t412 (not (= tptp.c_Com_Ocom_OSKIP @t155)))) % 0.45/0.81 (assume @p346 (forall @t413 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 tptp.c_Com_Ocom_OSKIP @t1) @t64))) % 0.45/0.81 (assume @p347 (forall @t413 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 tptp.c_Com_Ocom_OSKIP @t1) @t64))) % 0.45/0.81 (assume @p348 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.45/0.81 (assume @p349 (forall @t414 (not (= tptp.c_Com_Ocom_OSKIP @t116)))) % 0.45/0.81 (assume @p350 (forall @t414 (not (= @t116 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p351 (forall @t410 (not (= tptp.c_Com_Ocom_OSKIP @t67)))) % 0.45/0.81 (assume @p352 (forall (@list @t20 @t10) (or @t415 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t10 @t20))))) % 0.45/0.81 (assume @p353 (forall (@list @t53 @t117 @t66) (not (= @t416 @t67)))) % 0.45/0.81 (assume @p354 (forall (@list @t11 @t10 @t20 @t223) (or @t12 @t415 (not (tptp.c_Natural_Oevalc @t417 @t10 @t20))))) % 0.45/0.81 (assume @p355 (forall (@list @t82 @t153 @t69 @t68) (not (= @t418 @t70)))) % 0.45/0.81 (assume @p356 (forall @t420 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t416 @t1) @t419))) % 0.45/0.81 (assume @p357 (forall (@list @t82 @t153 @t54 @t53) (not (= @t418 @t57)))) % 0.45/0.81 (assume @p358 (forall (@list @t53 @t117 @t83 @t66 @t82) (not (= @t416 @t84)))) % 0.45/0.81 (assume @p359 (forall (@list @t118 @t53 @t117 @t82 @t153) (not (= @t119 @t418)))) % 0.45/0.81 (assume @p360 (forall (@list @t54 @t53 @t82 @t153) (not (= @t57 @t418)))) % 0.45/0.81 (assume @p361 (forall (@list @t53 @t69 @t68 @t82 @t153) (not (= @t110 @t418)))) % 0.45/0.81 (assume @p362 (forall (@list @t69 @t68 @t82 @t153) (not (= @t70 @t418)))) % 0.45/0.81 (assume @p363 (forall (@list @t11 @t223 @t10) (or (tptp.c_Natural_Oevalc @t417 @t10 @t10) @t12))) % 0.45/0.81 (assume @p364 (forall (@list @t82 @t153 @t118 @t53 @t117) (not (= @t418 @t119)))) % 0.45/0.81 (assume @p365 (forall (@list @t66 @t53 @t117) (not (= @t67 @t416)))) % 0.45/0.81 (assume @p366 (forall (@list @t11 @t223 @t25 @t26 @t14) (or (tptp.c_Natural_Oevalc @t417 @t25 @t26) (not (tptp.c_Natural_Oevalc @t417 @t14 @t26)) (not (tptp.c_Natural_Oevalc @t223 @t25 @t14)) @t421))) % 0.45/0.81 (assume @p367 (forall (@list @t83 @t66 @t82 @t53 @t117) (not (= @t84 @t416)))) % 0.45/0.81 (assume @p368 (forall (@list @t11 @t223) (or @t422 @t282))) % 0.45/0.81 (assume @p369 (forall (@list @t223 @t11) (or @t281 (not @t422)))) % 0.45/0.81 (assume @p370 (forall (@list @t82 @t153 @t53 @t69 @t68) (not (= @t418 @t110)))) % 0.45/0.81 (assume @p371 (forall @t420 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t55 @t63 @t62 @t61 @t60 @t59 @t58 @t416 @t1) (tptp.hAPP @t419 @t122)))) % 0.45/0.81 (assume @p372 (forall (@list @t21 @t10 @t216 @t20 @t16 @t11) (or @t425 @t424 @t423))) % 0.45/0.81 (assume @p373 (forall (@list @t223 @t10 @t217 @t20 @t216) (or (tptp.c_Natural_Oevaln @t223 @t10 @t217 @t20) @t221 @t426))) % 0.45/0.81 (assume @p374 (forall @t428 (or @t427 (not (tptp.c_Natural_Oevaln @t16 @t10 @t216 @t14)) @t12))) % 0.45/0.81 (assume @p375 (forall (@list @t21 @t10 @t216 @t20 @t11 @t16) (or @t425 @t12 @t423))) % 0.45/0.81 (assume @p376 (forall (@list @t223 @t10 @t216 @t429) (or (tptp.c_Natural_Oevaln @t223 @t10 @t253 @t429) @t430))) % 0.45/0.81 (assume @p377 (forall (@list @t21 @t26 @t16 @t14 @t431 @t434 @t435 @t432) (or (tptp.c_Natural_Oevaln @t21 @t26 @t437 @t434) @t436 @t433))) % 0.45/0.81 (assume @p378 (forall (@list @t16 @t14 @t21 @t26 @t431 @t434 @t435 @t432) (or (tptp.c_Natural_Oevaln @t16 @t14 @t437 @t431) @t436 @t433))) % 0.45/0.81 (assume @p379 (forall @t428 (or @t427 (not (tptp.c_Natural_Oevaln @t15 @t10 @t216 @t14)) @t13))) % 0.45/0.81 (assume @p380 (forall (@list @t11 @t10 @t16 @t216 @t20 @t21) (or @t13 @t424 @t423))) % 0.45/0.81 (assume @p381 (forall (@list @t15 @t16 @t25 @t216 @t26 @t14) (or (tptp.c_Natural_Oevaln @t27 @t25 @t216 @t26) (not (tptp.c_Natural_Oevaln @t16 @t14 @t216 @t26)) (not (tptp.c_Natural_Oevaln @t15 @t25 @t216 @t14))))) % 0.45/0.81 (assume @p382 (forall (@list @t223 @t10 @t20 @t216) (or @t224 @t426))) % 0.45/0.81 (assume @p383 (forall (@list @t223 @t10 @t20 @t42) (or @t224 (not (tptp.c_Natural_Oevaln @t223 @t10 @t42 @t20))))) % 0.45/0.81 (assume @p384 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 0.45/0.81 (assume @p385 (forall (@list @t216 @t20 @t1) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t20 @t1) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t253 @t20 @t1))))) % 0.45/0.81 (assume @p386 (forall (@list @t216 @t444 @t438 @t439) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t444 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t443 @t444) @t438))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t443 @t442) @t439)) @t441))) % 0.45/0.81 (assume @p387 (forall (@list @t216 @t51 @t438) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t51 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t446 @t438))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t253 @t445 tptp.t_a))))) % 0.45/0.81 (assume @p388 (forall (@list @t439 @t438 @t42) (or @t440 (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 @t439 @t438) @t42 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t447 @t439)))))) % 0.45/0.81 (assume @p389 (forall (@list @t216 @t448 @t438 @t439) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t448 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t443 @t448) @t438))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t442 tptp.t_a)) @t441))) % 0.45/0.81 (assume @p390 (= (tptp.hAPP @t449 tptp.v_x) (tptp.hAPP @t402 @t449))) % 0.45/0.81 (assume @p391 (forall @t453 (or @t452 @t13 @t450))) % 0.45/0.81 (assume @p392 (forall @t455 (or @t454 @t415 @t450))) % 0.45/0.81 (assume @p393 (forall @t453 (or @t452 @t415 @t450))) % 0.45/0.81 (assume @p394 (forall @t455 (or @t454 @t13 @t450))) % 0.45/0.81 (assume @p395 (forall (@list @t73 @t456 @t429 @t223 @t10 @t216 @t71) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t73 @t456) @t429)) @t430 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 @t456) @t10))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t71 @t223 @t73 tptp.t_a) tptp.t_a))))) % 0.45/0.81 (assume @p396 (forall (@list @t216 @t42 @t438) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t42 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t447 @t438))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t443 @t445) @t438))))) % 0.45/0.81 (assume @p397 (forall (@list @t11 @t10 @t20 @t223 @t216) (or @t12 @t415 @t450))) % 0.45/0.81 (assume @p398 (forall (@list @t10 @t216) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t10 @t216 @t10))) % 0.45/0.81 (assume @p399 @t458) % 0.45/0.81 (assume @p400 (forall @t457 (not (= @t418 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.81 (assume @p401 (forall (@list @t11 @t223 @t10 @t216) (or (tptp.c_Natural_Oevaln @t417 @t10 @t216 @t10) @t12))) % 0.45/0.81 (assume @p402 (forall (@list @t1 @t42 @t322) (or @t460 (not @t459)))) % 0.45/0.81 (assume @p403 (forall (@list @t322 @t42 @t1) (or @t459 (not @t460)))) % 0.45/0.81 (assume @p404 (forall (@list @t11 @t223 @t25 @t216 @t26 @t14) (or (tptp.c_Natural_Oevaln @t417 @t25 @t216 @t26) (not (tptp.c_Natural_Oevaln @t417 @t14 @t216 @t26)) (not (tptp.c_Natural_Oevaln @t223 @t25 @t216 @t14)) @t421))) % 0.45/0.81 (assume @p405 (forall @t462 (or @t461 @t127))) % 0.45/0.81 (assume @p406 (forall @t462 (or @t461 @t347))) % 0.45/0.81 (assume @p407 (forall (@list @t20 @t10 @t216) (or @t415 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t10 @t216 @t20))))) % 0.45/0.81 (assume @p408 @t463) % 0.45/0.81 (assume @p409 @t464) % 0.45/0.81 (assume @p410 (forall (@list @t51) (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_na @t51 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t446 tptp.v_G)))))) % 0.45/0.81 (assume @p411 (or (tptp.hBOOL (tptp.hAPP tptp.v_b tptp.v_sa)) (not @t464))) % 0.45/0.81 (assume @p412 (forall (@list @t456 @t429 @t10 @t216) (or (tptp.hBOOL (tptp.hAPP @t466 @t429)) (not (tptp.c_Natural_Oevaln tptp.v_c @t10 @t216 @t429)) (not (tptp.hBOOL (tptp.hAPP tptp.v_b @t10))) (not (tptp.hBOOL (tptp.hAPP @t466 @t10))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t443 @t465) tptp.v_G))))) % 0.45/0.81 (assume @p413 (forall (@list @t468 @t470 @t467 @t216) (or (tptp.hBOOL (tptp.hAPP @t469 @t470)) (not (tptp.c_Natural_Oevaln tptp.v_c @t467 @t216 @t470)) (not (tptp.hBOOL (tptp.hAPP tptp.v_b @t467))) (not (tptp.hBOOL (tptp.hAPP @t469 @t467))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t216 @t465 tptp.t_a))))) % 0.45/0.81 (assume @p414 (forall @t474 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t473) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t471))))) % 0.45/0.81 (assume @p415 (forall @t474 (or (tptp.class_Lattices_Oupper__semilattice @t473) @t475))) % 0.45/0.81 (assume @p416 (forall @t474 (or (tptp.class_Lattices_Olower__semilattice @t473) @t475))) % 0.45/0.81 (assume @p417 (forall @t474 (or (tptp.class_Lattices_Odistrib__lattice @t473) (not (tptp.class_Lattices_Odistrib__lattice @t471))))) % 0.45/0.81 (assume @p418 (forall @t474 (or (tptp.class_Lattices_Obounded__lattice @t473) (not (tptp.class_Lattices_Obounded__lattice @t471))))) % 0.45/0.81 (assume @p419 (forall @t474 (or (tptp.class_Orderings_Opreorder @t473) (not (tptp.class_Orderings_Opreorder @t471))))) % 0.45/0.81 (assume @p420 (forall @t474 (or (tptp.class_Lattices_Olattice @t473) @t475))) % 0.45/0.81 (assume @p421 (forall @t474 (or (tptp.class_Orderings_Oorder @t473) (not (tptp.class_Orderings_Oorder @t471))))) % 0.45/0.81 (assume @p422 (forall @t474 (or (tptp.class_Orderings_Obot @t473) (not (tptp.class_Orderings_Obot @t471))))) % 0.45/0.81 (assume @p423 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.45/0.81 (assume @p424 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.45/0.81 (assume @p425 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.45/0.81 (assume @p426 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.45/0.81 (assume @p427 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.45/0.81 (assume @p428 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.45/0.81 (assume @p429 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.45/0.81 (assume @p430 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.45/0.81 (assume @p431 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.45/0.81 (assume @p432 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.45/0.81 (assume @p433 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.45/0.81 (assume @p434 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.45/0.81 (assume @p435 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.45/0.81 (assume @p436 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.45/0.81 (assume @p437 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.45/0.81 (assume @p438 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.45/0.81 (assume @p439 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.45/0.81 (assume @p440 (forall (@list @t42 @t1) (tptp.c_fequal @t42 @t42 @t1))) % 0.45/0.81 (assume @p441 (forall (@list @t29 @t125 @t1) (or (= @t29 @t125) (not (tptp.c_fequal @t29 @t125 @t1))))) % 0.45/0.81 (assume-push @p448 @t458) % 0.45/0.81 (step @p443 :rule instantiate :premises (@p399) :args ((@list tptp.v_b tptp.v_c))) % 0.45/0.81 (step-pop @p449 :rule scope :premises (@p443)) % 0.45/0.81 (step @p444 :rule process_scope :premises (@p449) :args ((not @t463))) % 0.45/0.81 (step @p446 :rule implies_elim :premises (@p444)) % 0.45/0.81 (step @p447 false :rule chain_m_resolution :premises (@p446 @p408 @p399) :args (false (@list false false) (@list @t463 @t458))) % 0.45/0.81 ) % 0.45/0.81 % SZS output end Proof % 0.45/0.81 % cvc5 exiting %------------------------------------------------------------------------------