%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV839-1 : 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 : n012.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 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV839-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:16:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.40 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Unsatisfiable % 0.33/0.57 % SZS output start Proof % 0.33/0.59 ( % 0.33/0.59 (declare-sort $$unsorted 0) % 0.33/0.59 (declare-const tptp.v_G $$unsorted) % 0.33/0.59 (declare-const tptp.v_Ga $$unsorted) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.tc_bool $$unsorted) % 0.33/0.59 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.v_A $$unsorted) % 0.33/0.59 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_P $$unsorted) % 0.33/0.59 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.t_a $$unsorted) % 0.33/0.59 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_x $$unsorted) % 0.33/0.59 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__axioms (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.t_b $$unsorted) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.tc_nat $$unsorted) % 0.33/0.59 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.33/0.59 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (define @t1 () (@var "T_b" $$unsorted)) % 0.33/0.59 (define @t2 () (@var "T_a" $$unsorted)) % 0.33/0.59 (define @t3 () (tptp.tc_fun @t2 @t1)) % 0.33/0.59 (define @t4 () (@var "V_g" $$unsorted)) % 0.33/0.59 (define @t5 () (@var "V_f" $$unsorted)) % 0.33/0.59 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t5 @t4 @t3)) % 0.33/0.59 (define @t7 () (not @t6)) % 0.33/0.59 (define @t8 () (tptp.c_lessequals @t3)) % 0.33/0.59 (define @t9 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t8 @t5) @t4))) % 0.33/0.59 (define @t10 () (not (tptp.class_HOL_Oord @t1))) % 0.33/0.59 (define @t11 () (not @t9)) % 0.33/0.59 (define @t12 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t8 @t4) @t5))) % 0.33/0.59 (define @t13 () (@var "V_B" $$unsorted)) % 0.33/0.59 (define @t14 () (@var "V_A" $$unsorted)) % 0.33/0.59 (define @t15 () (tptp.tc_fun @t2 tptp.tc_bool)) % 0.33/0.59 (define @t16 () (tptp.c_lessequals @t15)) % 0.33/0.59 (define @t17 () (tptp.hAPP @t16 @t14)) % 0.33/0.59 (define @t18 () (tptp.hBOOL (tptp.hAPP @t17 @t13))) % 0.33/0.59 (define @t19 () (not @t18)) % 0.33/0.59 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 @t15)) % 0.33/0.59 (define @t21 () (= @t14 @t13)) % 0.33/0.59 (define @t22 () (@list @t14 @t13 @t2)) % 0.33/0.59 (define @t23 () (not (tptp.c_Finite__Set_Ofinite @t13 @t2))) % 0.33/0.59 (define @t24 () (tptp.c_Finite__Set_Ofinite @t14 @t2)) % 0.33/0.59 (define @t25 () (@list @t14 @t2 @t13)) % 0.33/0.59 (define @t26 () (@var "V_C" $$unsorted)) % 0.33/0.59 (define @t27 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t26 @t15))) % 0.33/0.59 (define @t28 () (tptp.c_HOL_Oord__class_Oless @t14 @t26 @t15)) % 0.33/0.59 (define @t29 () (@list @t14 @t26 @t2 @t13)) % 0.33/0.59 (define @t30 () (not @t20)) % 0.33/0.59 (define @t31 () (tptp.hAPP @t16 @t13)) % 0.33/0.59 (define @t32 () (tptp.hBOOL (tptp.hAPP @t31 @t26))) % 0.33/0.59 (define @t33 () (not @t32)) % 0.33/0.59 (define @t34 () (@list @t2 @t14 @t13)) % 0.33/0.59 (define @t35 () (not @t24)) % 0.33/0.59 (define @t36 () (@var "V_a" $$unsorted)) % 0.33/0.59 (define @t37 () (tptp.hBOOL (tptp.c_in @t36 @t14 @t2))) % 0.33/0.59 (define @t38 () (not @t37)) % 0.33/0.59 (define @t39 () (tptp.c_Finite__Set_Osetsum @t5 @t14 @t2 @t1)) % 0.33/0.59 (define @t40 () (tptp.c_Orderings_Obot__class_Obot @t15)) % 0.33/0.59 (define @t41 () (tptp.c_Set_Oinsert @t36 @t40 @t2)) % 0.33/0.59 (define @t42 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t41 @t15)) % 0.33/0.59 (define @t43 () (tptp.c_Finite__Set_Osetsum @t5 @t42 @t2 @t1)) % 0.33/0.59 (define @t44 () (= @t43 (tptp.c_HOL_Ominus__class_Ominus @t39 (tptp.hAPP @t5 @t36) @t1))) % 0.33/0.59 (define @t45 () (@list @t1 @t5 @t14 @t36 @t2)) % 0.33/0.59 (define @t46 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.33/0.59 (define @t47 () (@var "V_x" $$unsorted)) % 0.33/0.59 (define @t48 () (tptp.hBOOL (tptp.c_in @t47 @t14 @t2))) % 0.33/0.59 (define @t49 () (tptp.c_Set_Oinsert @t47 @t13 @t2)) % 0.33/0.59 (define @t50 () (tptp.c_HOL_Oord__class_Oless @t14 @t49 @t15)) % 0.33/0.59 (define @t51 () (@list @t14 @t47 @t13 @t2)) % 0.33/0.59 (define @t52 () (tptp.hBOOL (tptp.c_in @t47 @t13 @t2))) % 0.33/0.59 (define @t53 () (not @t50)) % 0.33/0.59 (define @t54 () (@list @t2 @t14 @t13 @t47)) % 0.33/0.59 (define @t55 () (@var "V_m" $$unsorted)) % 0.33/0.59 (define @t56 () (@var "V_l" $$unsorted)) % 0.33/0.59 (define @t57 () (tptp.c_lessequals @t2)) % 0.33/0.59 (define @t58 () (tptp.hAPP @t57 @t56)) % 0.33/0.59 (define @t59 () (not (tptp.hBOOL (tptp.hAPP @t58 @t55)))) % 0.33/0.59 (define @t60 () (@var "V_u" $$unsorted)) % 0.33/0.59 (define @t61 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t55) @t60)))) % 0.33/0.59 (define @t62 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t56 @t60 @t2)) % 0.33/0.59 (define @t63 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t55 @t60 @t2)) % 0.33/0.59 (define @t64 () (not (tptp.class_Orderings_Olinorder @t2))) % 0.33/0.59 (define @t65 () (@list @t2 @t56 @t55 @t60)) % 0.33/0.59 (define @t66 () (tptp.c_fequal @t2)) % 0.33/0.59 (define @t67 () (tptp.hAPP (tptp.c_COMBC @t66 @t2 @t2 tptp.tc_bool) @t36)) % 0.33/0.59 (define @t68 () (tptp.c_Collect @t67 @t2)) % 0.33/0.59 (define @t69 () (@list @t2 @t36)) % 0.33/0.59 (define @t70 () (tptp.c_Set_Oinsert @t36 @t13 @t2)) % 0.33/0.59 (define @t71 () (@list @t36 @t13 @t2)) % 0.33/0.59 (define @t72 () (tptp.c_Set_Oinsert @t36 @t14 @t2)) % 0.33/0.59 (define @t73 () (tptp.c_Finite__Set_Ofinite @t72 @t2)) % 0.33/0.59 (define @t74 () (@list @t36 @t14 @t2)) % 0.33/0.59 (define @t75 () (@var "V_z" $$unsorted)) % 0.33/0.59 (define @t76 () (@list @t5 @t75 @t2 @t1)) % 0.33/0.59 (define @t77 () (@list @t2)) % 0.33/0.59 (define @t78 () (@list @t14 @t2)) % 0.33/0.59 (define @t79 () (@var "V_y" $$unsorted)) % 0.33/0.59 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t47 @t79 @t2)) % 0.33/0.59 (define @t81 () (not @t80)) % 0.33/0.59 (define @t82 () (tptp.hAPP @t57 @t79)) % 0.33/0.59 (define @t83 () (tptp.hBOOL (tptp.hAPP @t82 @t47))) % 0.33/0.59 (define @t84 () (not @t83)) % 0.33/0.59 (define @t85 () (not (tptp.class_Orderings_Opreorder @t2))) % 0.33/0.59 (define @t86 () (@list @t2 @t79 @t47)) % 0.33/0.59 (define @t87 () (tptp.hAPP @t57 @t47)) % 0.33/0.59 (define @t88 () (tptp.hBOOL (tptp.hAPP @t87 @t79))) % 0.33/0.59 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t79 @t47 @t2)) % 0.33/0.59 (define @t90 () (not @t89)) % 0.33/0.59 (define @t91 () (not @t88)) % 0.33/0.59 (define @t92 () (@list @t2 @t47 @t79)) % 0.33/0.59 (define @t93 () (tptp.hBOOL (tptp.hAPP @t87 @t47))) % 0.33/0.59 (define @t94 () (tptp.c_HOL_Oord__class_Oless @t47 @t47 @t2)) % 0.33/0.59 (define @t95 () (@list @t2 @t47)) % 0.33/0.59 (define @t96 () (not @t94)) % 0.33/0.59 (define @t97 () (not (tptp.class_Orderings_Oorder @t2))) % 0.33/0.59 (define @t98 () (tptp.hAPP @t57 @t75)) % 0.33/0.59 (define @t99 () (not (tptp.hBOOL (tptp.hAPP @t98 @t79)))) % 0.33/0.59 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t75 @t47 @t2)) % 0.33/0.59 (define @t101 () (@list @t2 @t75 @t47 @t79)) % 0.33/0.59 (define @t102 () (not (tptp.c_HOL_Oord__class_Oless @t75 @t79 @t2))) % 0.33/0.59 (define @t103 () (not (tptp.c_HOL_Oord__class_Oless @t79 @t75 @t2))) % 0.33/0.59 (define @t104 () (tptp.c_HOL_Oord__class_Oless @t47 @t75 @t2)) % 0.33/0.59 (define @t105 () (@list @t2 @t47 @t75 @t79)) % 0.33/0.59 (define @t106 () (tptp.hBOOL (tptp.hAPP @t82 @t75))) % 0.33/0.59 (define @t107 () (not @t106)) % 0.33/0.59 (define @t108 () (@var "V_b" $$unsorted)) % 0.33/0.59 (define @t109 () (tptp.hAPP @t57 @t108)) % 0.33/0.59 (define @t110 () (tptp.hBOOL (tptp.hAPP @t109 @t36))) % 0.33/0.59 (define @t111 () (not @t110)) % 0.33/0.59 (define @t112 () (= @t36 @t108)) % 0.33/0.59 (define @t113 () (tptp.c_HOL_Oord__class_Oless @t108 @t36 @t2)) % 0.33/0.59 (define @t114 () (@list @t2 @t108 @t36)) % 0.33/0.59 (define @t115 () (= @t47 @t79)) % 0.33/0.59 (define @t116 () (tptp.hAPP @t57 @t36)) % 0.33/0.59 (define @t117 () (tptp.hBOOL (tptp.hAPP @t116 @t108))) % 0.33/0.59 (define @t118 () (not @t117)) % 0.33/0.59 (define @t119 () (tptp.c_HOL_Oord__class_Oless @t36 @t108 @t2)) % 0.33/0.59 (define @t120 () (@list @t2 @t36 @t108)) % 0.33/0.59 (define @t121 () (tptp.c_HOL_Ouminus__class_Ouminus @t108 @t2)) % 0.33/0.59 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t121 @t36 @t2)) % 0.33/0.59 (define @t123 () (tptp.c_HOL_Ouminus__class_Ouminus @t36 @t2)) % 0.33/0.59 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t123 @t108 @t2)) % 0.33/0.59 (define @t125 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 0.33/0.59 (define @t126 () (tptp.c_HOL_Oord__class_Oless @t108 @t123 @t2)) % 0.33/0.59 (define @t127 () (tptp.c_HOL_Oord__class_Oless @t36 @t121 @t2)) % 0.33/0.59 (define @t128 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t108 @t2)) % 0.33/0.59 (define @t129 () (tptp.c_HOL_Oord__class_Oless @t47 @t128 @t2)) % 0.33/0.59 (define @t130 () (not (tptp.class_Lattices_Oupper__semilattice @t2))) % 0.33/0.59 (define @t131 () (@list @t2 @t47 @t36 @t108)) % 0.33/0.59 (define @t132 () (@list @t2 @t14)) % 0.33/0.59 (define @t133 () (@var "V_d" $$unsorted)) % 0.33/0.59 (define @t134 () (@var "V_c" $$unsorted)) % 0.33/0.59 (define @t135 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t134 @t133 @t2)) % 0.33/0.59 (define @t136 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t36 @t108 @t2)) % 0.33/0.59 (define @t137 () (tptp.c_HOL_Oord__class_Oless @t136 @t135 @t15)) % 0.33/0.59 (define @t138 () (not @t137)) % 0.33/0.59 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t134 @t36 @t2)) % 0.33/0.59 (define @t140 () (tptp.c_HOL_Oord__class_Oless @t108 @t133 @t2)) % 0.33/0.59 (define @t141 () (@var "V_top" $$unsorted)) % 0.33/0.59 (define @t142 () (@var "V_bot" $$unsorted)) % 0.33/0.59 (define @t143 () (@var "V_sup" $$unsorted)) % 0.33/0.59 (define @t144 () (@var "V_inf" $$unsorted)) % 0.33/0.59 (define @t145 () (@var "V_less" $$unsorted)) % 0.33/0.59 (define @t146 () (@var "V_less__eq" $$unsorted)) % 0.33/0.59 (define @t147 () (@var "V_Sup" $$unsorted)) % 0.33/0.59 (define @t148 () (@var "V_Inf" $$unsorted)) % 0.33/0.59 (define @t149 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t148 @t147 @t146 @t145 @t144 @t143 @t142 @t141 @t2))) % 0.33/0.59 (define @t150 () (@var "V_P" $$unsorted)) % 0.33/0.59 (define @t151 () (@var "V_Q" $$unsorted)) % 0.33/0.59 (define @t152 () (@var "V_R" $$unsorted)) % 0.33/0.59 (define @t153 () (@var "T_c" $$unsorted)) % 0.33/0.59 (define @t154 () (tptp.hBOOL (tptp.c_in @t134 @t14 @t2))) % 0.33/0.59 (define @t155 () (not @t154)) % 0.33/0.59 (define @t156 () (tptp.hBOOL (tptp.c_in @t134 @t13 @t2))) % 0.33/0.59 (define @t157 () (@list @t134 @t13 @t2 @t14)) % 0.33/0.59 (define @t158 () (@var "V_k" $$unsorted)) % 0.33/0.59 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t158 @t56 @t2)) % 0.33/0.59 (define @t160 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t158 @t56 @t2)) % 0.33/0.59 (define @t161 () (= @t160 @t40)) % 0.33/0.59 (define @t162 () (@list @t2 @t158 @t56)) % 0.33/0.59 (define @t163 () (not @t159)) % 0.33/0.59 (define @t164 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t13 @t15)) % 0.33/0.59 (define @t165 () (tptp.c_Finite__Set_Ofinite @t164 @t2)) % 0.33/0.59 (define @t166 () (not @t165)) % 0.33/0.59 (define @t167 () (@var "V_F" $$unsorted)) % 0.33/0.59 (define @t168 () (tptp.c_Finite__Set_Ofinite @t167 @t2)) % 0.33/0.59 (define @t169 () (@var "V_G" $$unsorted)) % 0.33/0.59 (define @t170 () (tptp.c_Finite__Set_Ofinite @t169 @t2)) % 0.33/0.59 (define @t171 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 @t169 @t15) @t2)) % 0.33/0.59 (define @t172 () (not @t171)) % 0.33/0.59 (define @t173 () (not @t119)) % 0.33/0.59 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t121 @t123 @t2)) % 0.33/0.59 (define @t175 () (@list @t47 @t2)) % 0.33/0.59 (define @t176 () (tptp.hAPP @t57 @t134)) % 0.33/0.59 (define @t177 () (tptp.hBOOL (tptp.hAPP @t176 @t36))) % 0.33/0.59 (define @t178 () (not @t177)) % 0.33/0.59 (define @t179 () (tptp.hBOOL (tptp.hAPP @t109 @t133))) % 0.33/0.59 (define @t180 () (not @t179)) % 0.33/0.59 (define @t181 () (tptp.hBOOL (tptp.hAPP @t176 @t133))) % 0.33/0.59 (define @t182 () (not @t181)) % 0.33/0.59 (define @t183 () (@list @t2 @t36 @t108 @t134 @t133)) % 0.33/0.59 (define @t184 () (= @t40 @t160)) % 0.33/0.59 (define @t185 () (@var "V_y_H" $$unsorted)) % 0.33/0.59 (define @t186 () (@var "V_x_H" $$unsorted)) % 0.33/0.59 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t186 @t185 @t2)) % 0.33/0.59 (define @t188 () (tptp.c_HOL_Ominus__class_Ominus @t186 @t185 @t2)) % 0.33/0.59 (define @t189 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t79 @t2) @t188))) % 0.33/0.59 (define @t190 () (@list @t2 @t47 @t79 @t186 @t185)) % 0.33/0.59 (define @t191 () (not @t113)) % 0.33/0.59 (define @t192 () (tptp.hBOOL (tptp.hAPP @t31 @t14))) % 0.33/0.59 (define @t193 () (not @t192)) % 0.33/0.59 (define @t194 () (tptp.hAPP @t5 @t47)) % 0.33/0.59 (define @t195 () (tptp.hAPP @t194 @t79)) % 0.33/0.59 (define @t196 () (tptp.c_Set_Oinsert @t47 @t14 @t2)) % 0.33/0.59 (define @t197 () (not @t52)) % 0.33/0.59 (define @t198 () (@list @t14 @t13 @t2 @t47)) % 0.33/0.59 (define @t199 () (@list @t2 @t108 @t133 @t36 @t134)) % 0.33/0.59 (define @t200 () (@list @t2 @t134 @t36 @t108 @t133)) % 0.33/0.59 (define @t201 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t56 @t60 @t2)) % 0.33/0.59 (define @t202 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.33/0.59 (define @t203 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t13 @t2 @t202)) % 0.33/0.59 (define @t204 () (not @t48)) % 0.33/0.59 (define @t205 () (tptp.hAPP @t13 @t47)) % 0.33/0.59 (define @t206 () (= @t136 @t40)) % 0.33/0.59 (define @t207 () (= @t14 @t40)) % 0.33/0.59 (define @t208 () (@var "V_M" $$unsorted)) % 0.33/0.59 (define @t209 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.33/0.59 (define @t210 () (tptp.c_COMBK @t134 @t15 @t1)) % 0.33/0.59 (define @t211 () (tptp.c_Orderings_Obot__class_Obot @t202)) % 0.33/0.59 (define @t212 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t70 @t15)) % 0.33/0.59 (define @t213 () (tptp.c_Finite__Set_Ofinite @t212 @t2)) % 0.33/0.59 (define @t214 () (@list @t14 @t36 @t13 @t2)) % 0.33/0.59 (define @t215 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t36 @t108 @t2)) % 0.33/0.59 (define @t216 () (= @t40 @t215)) % 0.33/0.59 (define @t217 () (= @t215 @t40)) % 0.33/0.59 (define @t218 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2)) % 0.33/0.59 (define @t219 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2)) % 0.33/0.59 (define @t220 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t2))) % 0.33/0.59 (define @t221 () (tptp.c_Finite__Set_Olinorder__class_OMax @t14 @t2)) % 0.33/0.59 (define @t222 () (@list @t2 @t47 @t14)) % 0.33/0.59 (define @t223 () (tptp.c_Finite__Set_Olinorder__class_OMin @t14 @t2)) % 0.33/0.59 (define @t224 () (@list @t2 @t14 @t47)) % 0.33/0.59 (define @t225 () (tptp.c_Set_Oinsert @t47 @t40 @t2)) % 0.33/0.59 (define @t226 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t225 @t15)) % 0.33/0.59 (define @t227 () (@list @t5 @t75 @t14 @t47 @t79 @t2 @t1)) % 0.33/0.59 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t226 @t13 @t15)) % 0.33/0.59 (define @t229 () (not @t228)) % 0.33/0.59 (define @t230 () (@var "V_N" $$unsorted)) % 0.33/0.59 (define @t231 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t208) @t230)))) % 0.33/0.59 (define @t232 () (= @t208 @t40)) % 0.33/0.59 (define @t233 () (not (tptp.c_Finite__Set_Ofinite @t230 @t2))) % 0.33/0.59 (define @t234 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 0.33/0.59 (define @t235 () (tptp.tc_fun @t234 tptp.tc_bool)) % 0.33/0.59 (define @t236 () (tptp.c_Orderings_Obot__class_Obot @t235)) % 0.33/0.59 (define @t237 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 0.33/0.59 (define @t238 () (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t169 @t150 @t151 @t134)) % 0.33/0.59 (define @t239 () (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t169 @t150 @t151 @t134)) % 0.33/0.59 (define @t240 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t150 @t134 @t151 tptp.t_a) @t236 @t234) tptp.t_a)) % 0.33/0.59 (define @t241 () (@list @t169 @t150 @t134 @t151)) % 0.33/0.59 (define @t242 () (not (tptp.hBOOL (tptp.hAPP @t58 @t60)))) % 0.33/0.59 (define @t243 () (@list @t2 @t56 @t60)) % 0.33/0.59 (define @t244 () (tptp.hBOOL (tptp.hAPP @t98 @t47))) % 0.33/0.59 (define @t245 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t79 @t75 @t2)) % 0.33/0.59 (define @t246 () (@list @t2 @t79 @t75 @t47)) % 0.33/0.59 (define @t247 () (tptp.hBOOL (tptp.hAPP @t87 @t75))) % 0.33/0.59 (define @t248 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t79 @t2)) % 0.33/0.59 (define @t249 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t248) @t75))) % 0.33/0.59 (define @t250 () (@list @t2 @t47 @t79 @t75)) % 0.33/0.59 (define @t251 () (tptp.hBOOL (tptp.hAPP @t82 @t248))) % 0.33/0.59 (define @t252 () (not (tptp.class_Lattices_Olattice @t2))) % 0.33/0.59 (define @t253 () (tptp.hBOOL (tptp.hAPP @t87 @t248))) % 0.33/0.59 (define @t254 () (tptp.hBOOL (tptp.hAPP @t116 @t121))) % 0.33/0.59 (define @t255 () (tptp.hBOOL (tptp.hAPP @t109 @t123))) % 0.33/0.59 (define @t256 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t123) @t108))) % 0.33/0.59 (define @t257 () (tptp.hAPP @t57 @t121)) % 0.33/0.59 (define @t258 () (tptp.hBOOL (tptp.hAPP @t257 @t36))) % 0.33/0.59 (define @t259 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t56 @t60 @t2)) % 0.33/0.59 (define @t260 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.33/0.59 (define @t261 () (not (tptp.class_Lattices_Obounded__lattice @t2))) % 0.33/0.59 (define @t262 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t13 @t2) @t260))) % 0.33/0.59 (define @t263 () (tptp.hBOOL (tptp.hAPP @t150 @t47))) % 0.33/0.59 (define @t264 () (not @t263)) % 0.33/0.59 (define @t265 () (tptp.c_Collect @t150 @t2)) % 0.33/0.59 (define @t266 () (not (tptp.hBOOL (tptp.c_in @t47 @t40 @t2)))) % 0.33/0.59 (define @t267 () (@list @t150 @t47 @t2)) % 0.33/0.59 (define @t268 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t13 @t15)) % 0.33/0.59 (define @t269 () (not (= @t268 @t40))) % 0.33/0.59 (define @t270 () (tptp.c_Set_Oinsert @t36 @t42 @t2)) % 0.33/0.59 (define @t271 () (tptp.c_Set_Oinsert @t108 @t40 @t2)) % 0.33/0.59 (define @t272 () (tptp.c_Set_Oinsert @t36 @t271 @t2)) % 0.33/0.59 (define @t273 () (@list @t47 @t14 @t2)) % 0.33/0.59 (define @t274 () (tptp.hBOOL (tptp.c_in @t36 (tptp.c_Set_Oinsert @t108 @t14 @t2) @t2))) % 0.33/0.59 (define @t275 () (tptp.c_Set_Oinsert @t108 @t13 @t2)) % 0.33/0.59 (define @t276 () (tptp.hAPP @t148 @t14)) % 0.33/0.59 (define @t277 () (tptp.hAPP @t144 @t36)) % 0.33/0.59 (define @t278 () (tptp.hAPP @t147 @t14)) % 0.33/0.59 (define @t279 () (tptp.hAPP @t143 @t36)) % 0.33/0.59 (define @t280 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t26 @t15)) % 0.33/0.59 (define @t281 () (@list @t47 @t14 @t2 @t13)) % 0.33/0.59 (define @t282 () (@var "V_t" $$unsorted)) % 0.33/0.59 (define @t283 () (@list @t47 @t13 @t2 @t14)) % 0.33/0.59 (define @t284 () (tptp.hAPP @t16 @t268)) % 0.33/0.59 (define @t285 () (tptp.hBOOL (tptp.hAPP @t284 @t26))) % 0.33/0.59 (define @t286 () (not @t285)) % 0.33/0.59 (define @t287 () (tptp.hBOOL (tptp.hAPP @t17 @t26))) % 0.33/0.59 (define @t288 () (@list @t2 @t14 @t26 @t13)) % 0.33/0.59 (define @t289 () (not @t287)) % 0.33/0.59 (define @t290 () (@var "V_D" $$unsorted)) % 0.33/0.59 (define @t291 () (@list @t2 @t14 @t13 @t26 @t290)) % 0.33/0.59 (define @t292 () (= @t268 @t13)) % 0.33/0.59 (define @t293 () (tptp.hAPP @t16 @t164)) % 0.33/0.59 (define @t294 () (tptp.c_HOL_Ouminus__class_Ouminus @t13 @t15)) % 0.33/0.59 (define @t295 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t15)) % 0.33/0.59 (define @t296 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t295) @t294))) % 0.33/0.59 (define @t297 () (@list @t2 @t13 @t14)) % 0.33/0.59 (define @t298 () (@list @t2 @t14 @t13 @t26)) % 0.33/0.59 (define @t299 () (@var "V_com2_H" $$unsorted)) % 0.33/0.59 (define @t300 () (@var "V_com1_H" $$unsorted)) % 0.33/0.59 (define @t301 () (tptp.c_Com_Ocom_OSemi @t300 @t299)) % 0.33/0.59 (define @t302 () (@list @t300 @t299)) % 0.33/0.59 (define @t303 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t226) @t13))) % 0.33/0.59 (define @t304 () (not @t303)) % 0.33/0.59 (define @t305 () (tptp.hBOOL (tptp.hAPP @t17 @t49))) % 0.33/0.59 (define @t306 () (@list @t2 @t14 @t47 @t13)) % 0.33/0.59 (define @t307 () (not @t305)) % 0.33/0.59 (define @t308 () (= @t40 @t136)) % 0.33/0.59 (define @t309 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t136) @t135))) % 0.33/0.59 (define @t310 () (not @t309)) % 0.33/0.59 (define @t311 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t215) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t134 @t133 @t2))))) % 0.33/0.59 (define @t312 () (tptp.hBOOL (tptp.hAPP @t116 @t47))) % 0.33/0.59 (define @t313 () (tptp.hBOOL (tptp.hAPP @t109 @t47))) % 0.33/0.59 (define @t314 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t128) @t47))) % 0.33/0.59 (define @t315 () (tptp.hBOOL (tptp.hAPP @t257 @t123))) % 0.33/0.59 (define @t316 () (= @t248 @t79)) % 0.33/0.59 (define @t317 () (not @t249)) % 0.33/0.59 (define @t318 () (tptp.hBOOL (tptp.hAPP @t87 @t128))) % 0.33/0.59 (define @t319 () (not @t314)) % 0.33/0.59 (define @t320 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t185) @t186))) % 0.33/0.59 (define @t321 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 0.33/0.59 (define @t322 () (tptp.c_HOL_Ouminus__class_Ouminus @t121 @t2)) % 0.33/0.59 (define @t323 () (not (tptp.class_OrderedGroup_Ogroup__add @t2))) % 0.33/0.59 (define @t324 () (@list @t2 @t108)) % 0.33/0.59 (define @t325 () (tptp.c_HOL_Ouminus__class_Ouminus @t123 @t2)) % 0.33/0.59 (define @t326 () (tptp.c_HOL_Ouminus__class_Ouminus @t47 @t2)) % 0.33/0.59 (define @t327 () (not (tptp.class_Lattices_Oboolean__algebra @t2))) % 0.33/0.59 (define @t328 () (tptp.hBOOL (tptp.hAPP @t293 @t26))) % 0.33/0.59 (define @t329 () (tptp.hBOOL (tptp.hAPP @t17 @t280))) % 0.33/0.59 (define @t330 () (tptp.c_HOL_Ominus__class_Ominus @t196 @t13 @t15)) % 0.33/0.59 (define @t331 () (tptp.hAPP @t13 @t36)) % 0.33/0.59 (define @t332 () (tptp.hBOOL (tptp.hAPP @t203 @t108))) % 0.33/0.59 (define @t333 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t248 @t2) @t248)) % 0.33/0.59 (define @t334 () (= @t248 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t79 @t47 @t2))) % 0.33/0.59 (define @t335 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t14 @t15)) % 0.33/0.59 (define @t336 () (@list @t14 @t13 @t2 @t26)) % 0.33/0.59 (define @t337 () (tptp.hAPP @t14 tptp.v_x)) % 0.33/0.59 (define @t338 () (tptp.tc_fun tptp.t_a @t1)) % 0.33/0.59 (define @t339 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t14 @t15)) % 0.33/0.59 (define @t340 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t339 @t15)) % 0.33/0.59 (define @t341 () (not (tptp.hBOOL (tptp.c_in @t47 @t14 @t1)))) % 0.33/0.59 (define @t342 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t13 @t1 @t15)) % 0.33/0.59 (define @t343 () (tptp.hBOOL (tptp.c_in @t134 @t164 @t2))) % 0.33/0.59 (define @t344 () (@list @t134 @t14 @t13 @t2)) % 0.33/0.59 (define @t345 () (tptp.hBOOL (tptp.c_in @t36 @t265 @t2))) % 0.33/0.59 (define @t346 () (tptp.hBOOL (tptp.hAPP @t150 @t36))) % 0.33/0.59 (define @t347 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t245 @t2)) % 0.33/0.59 (define @t348 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t248 @t75 @t2) @t347)) % 0.33/0.59 (define @t349 () (= @t347 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t79 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t75 @t2) @t2))) % 0.33/0.59 (define @t350 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t280 @t15)) % 0.33/0.59 (define @t351 () (tptp.c_HOL_Ominus__class_Ominus @t47 @t47 @t2)) % 0.33/0.59 (define @t352 () (@var "V_xa" $$unsorted)) % 0.33/0.59 (define @t353 () (@var "V_S" $$unsorted)) % 0.33/0.59 (define @t354 () (tptp.hBOOL (tptp.c_in @t47 @t353 @t2))) % 0.33/0.59 (define @t355 () (tptp.hBOOL (tptp.hAPP @t353 @t47))) % 0.33/0.59 (define @t356 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t211 @t13 @t1 @t15)) % 0.33/0.59 (define @t357 () (@list @t14 @t1 @t13 @t2)) % 0.33/0.59 (define @t358 () (@var "V_i" $$unsorted)) % 0.33/0.59 (define @t359 () (tptp.c_lessequals @t1)) % 0.33/0.59 (define @t360 () (tptp.hBOOL (tptp.c_in @t134 @t295 @t2))) % 0.33/0.59 (define @t361 () (@list @t134 @t14 @t2)) % 0.33/0.59 (define @t362 () (@var "V_com2" $$unsorted)) % 0.33/0.59 (define @t363 () (@var "V_com1" $$unsorted)) % 0.33/0.59 (define @t364 () (not (= (tptp.c_Com_Ocom_OSemi @t363 @t362) @t301))) % 0.33/0.59 (define @t365 () (@list @t363 @t362 @t300 @t299)) % 0.33/0.59 (define @t366 () (tptp.hAPP @t218 @t14)) % 0.33/0.59 (define @t367 () (@list @t2 @t36 @t14)) % 0.33/0.59 (define @t368 () (= @t205 @t40)) % 0.33/0.59 (define @t369 () (not @t343)) % 0.33/0.59 (define @t370 () (not @t156)) % 0.33/0.59 (define @t371 () (@var "V_I" $$unsorted)) % 0.33/0.59 (define @t372 () (tptp.hAPP @t14 @t47)) % 0.33/0.59 (define @t373 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t371 @t14 @t2 @t202)) % 0.33/0.59 (define @t374 () (tptp.hBOOL (tptp.hAPP @t268 @t47))) % 0.33/0.59 (define @t375 () (tptp.hBOOL @t372)) % 0.33/0.59 (define @t376 () (tptp.hBOOL @t205)) % 0.33/0.59 (define @t377 () (not @t375)) % 0.33/0.59 (define @t378 () (tptp.hBOOL (tptp.c_in @t134 @t268 @t2))) % 0.33/0.59 (define @t379 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t56 @t55 @t2)) % 0.33/0.59 (define @t380 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.33/0.59 (define @t381 () (@var "V_n" $$unsorted)) % 0.33/0.59 (define @t382 () (tptp.hAPP @t66 @t47)) % 0.33/0.59 (define @t383 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t225 @t2)) % 0.33/0.59 (define @t384 () (tptp.hAPP @t16 @t40)) % 0.33/0.59 (define @t385 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t196) @t13))) % 0.33/0.59 (define @t386 () (not @t385)) % 0.33/0.59 (define @t387 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t47 @t134 @t352 tptp.t_a) @t236 @t234) tptp.t_a))) % 0.33/0.59 (define @t388 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t169 @t150 @t151 @t134)) % 0.33/0.59 (define @t389 () (@var "V_Z_H" $$unsorted)) % 0.33/0.59 (define @t390 () (tptp.hAPP @t47 @t389)) % 0.33/0.59 (define @t391 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t169 @t150 @t151 @t134 @t47 @t352)) % 0.33/0.59 (define @t392 () (tptp.hAPP @t352 @t389)) % 0.33/0.59 (define @t393 () (@list @t169 @t150 @t134 @t151 @t352 @t389 @t47)) % 0.33/0.59 (define @t394 () (@var "V_Q_H" $$unsorted)) % 0.33/0.59 (define @t395 () (@var "V_P_H" $$unsorted)) % 0.33/0.59 (define @t396 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t395 @t134 @t394 tptp.t_a) @t236 @t234) tptp.t_a))) % 0.33/0.59 (define @t397 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t150 @t395 @t151 @t394)) % 0.33/0.59 (define @t398 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t150 @t395 @t151 @t394)) % 0.33/0.59 (define @t399 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t169 @t150 @t151 @t134)) % 0.33/0.59 (define @t400 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t169 @t150 @t151 @t134 @t47 @t352)) % 0.33/0.59 (define @t401 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t169 @t150 @t151 @t134)) % 0.33/0.59 (define @t402 () (@list @t169 @t150 @t134 @t151 @t47 @t352)) % 0.33/0.59 (define @t403 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t169 @t150 @t151 @t134)) % 0.33/0.59 (define @t404 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t150 @t134 @t394 tptp.t_a) @t236 @t234) tptp.t_a))) % 0.33/0.59 (define @t405 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 @t151 @t394)) % 0.33/0.59 (define @t406 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 @t151 @t394)) % 0.33/0.59 (define @t407 () (@list @t169 @t150 @t134 @t151 @t394)) % 0.33/0.59 (define @t408 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t150 @t395 @t151 @t394)) % 0.33/0.59 (define @t409 () (@list @t169 @t150 @t134 @t151 @t395 @t394)) % 0.33/0.59 (define @t410 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t395 @t134 @t151 tptp.t_a) @t236 @t234) tptp.t_a))) % 0.33/0.59 (define @t411 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t150 @t395)) % 0.33/0.59 (define @t412 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t150 @t395)) % 0.33/0.59 (define @t413 () (@list @t169 @t150 @t134 @t151 @t395)) % 0.33/0.59 (define @t414 () (tptp.tc_Hoare__Mirabelle_Otriple @t2)) % 0.33/0.59 (define @t415 () (tptp.tc_fun @t414 tptp.tc_bool)) % 0.33/0.59 (define @t416 () (tptp.c_Orderings_Obot__class_Obot @t415)) % 0.33/0.59 (define @t417 () (@var "V_ts" $$unsorted)) % 0.33/0.59 (define @t418 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 @t417 @t2)) % 0.33/0.59 (define @t419 () (@var "V_ts_H" $$unsorted)) % 0.33/0.59 (define @t420 () (tptp.hAPP (tptp.c_lessequals @t415) @t417)) % 0.33/0.59 (define @t421 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t150) @t151)))) % 0.33/0.59 (define @t422 () (tptp.hBOOL (tptp.hAPP @t151 @t47))) % 0.33/0.59 (define @t423 () (forall (@list @t169 @t150 @t2) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t150 tptp.c_Com_Ocom_OSKIP @t150 @t2) @t416 @t414) @t2))) % 0.33/0.59 (define @t424 () (@var "V_G_H" $$unsorted)) % 0.33/0.59 (define @t425 () (@var "V_fun2_H" $$unsorted)) % 0.33/0.59 (define @t426 () (@var "V_fun2" $$unsorted)) % 0.33/0.59 (define @t427 () (@var "V_com_H" $$unsorted)) % 0.33/0.59 (define @t428 () (@var "V_fun1_H" $$unsorted)) % 0.33/0.59 (define @t429 () (@var "V_com" $$unsorted)) % 0.33/0.59 (define @t430 () (@var "V_fun1" $$unsorted)) % 0.33/0.59 (define @t431 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t430 @t429 @t426 @t2) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t428 @t427 @t425 @t2)))) % 0.33/0.59 (define @t432 () (@list @t430 @t429 @t426 @t2 @t428 @t427 @t425)) % 0.33/0.59 (define @t433 () (= @t108 @t133)) % 0.33/0.59 (define @t434 () (= @t108 @t134)) % 0.33/0.59 (define @t435 () (not (= @t272 (tptp.c_Set_Oinsert @t134 (tptp.c_Set_Oinsert @t133 @t40 @t2) @t2)))) % 0.33/0.59 (define @t436 () (@list @t36 @t108 @t2 @t134 @t133)) % 0.33/0.59 (define @t437 () (= @t36 @t133)) % 0.33/0.59 (define @t438 () (= @t36 @t134)) % 0.33/0.59 (define @t439 () (tptp.c_Set_Oinsert @t79 @t14 @t2)) % 0.33/0.59 (define @t440 () (tptp.hBOOL (tptp.hAPP @t439 @t47))) % 0.33/0.59 (define @t441 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_Ga (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.c_Com_Ocom_OSKIP tptp.v_P tptp.t_a) @t236 @t234) tptp.t_a)) % 0.33/0.59 (define @t442 () (@var "T_1" $$unsorted)) % 0.33/0.59 (define @t443 () (@var "T_2" $$unsorted)) % 0.33/0.59 (define @t444 () (tptp.tc_fun @t443 @t442)) % 0.33/0.59 (define @t445 () (@list @t443 @t442)) % 0.33/0.59 (define @t446 () (not (tptp.class_Lattices_Olattice @t442))) % 0.33/0.59 (define @t447 () (@var "V_Y" $$unsorted)) % 0.33/0.59 (define @t448 () (@var "V_X" $$unsorted)) % 0.33/0.59 (assume @p1 (forall (@list @t1 @t2 @t5 @t4) (or @t10 @t9 @t7))) % 0.33/0.59 (assume @p2 (forall (@list @t1 @t5 @t4 @t2) (or @t10 @t6 @t12 @t11))) % 0.33/0.59 (assume @p3 (forall (@list @t1 @t2 @t4 @t5) (or @t10 (not @t12) @t7))) % 0.33/0.59 (assume @p4 (forall @t22 (or @t21 @t20 @t19))) % 0.33/0.59 (assume @p5 (forall @t22 (or @t20 @t21 @t19))) % 0.33/0.59 (assume @p6 (forall @t25 (or @t24 @t19 @t23))) % 0.33/0.59 (assume @p7 (forall @t29 (or @t28 @t27 @t19))) % 0.33/0.59 (assume @p8 (forall @t29 (or @t28 @t33 @t30))) % 0.33/0.59 (assume @p9 (forall @t25 (or @t24 @t23 @t19))) % 0.33/0.59 (assume @p10 (forall @t34 (or @t18 @t30))) % 0.33/0.59 (assume @p11 (forall @t45 (or (not (tptp.class_Ring__and__Field_Oring @t1)) @t44 @t38 @t35))) % 0.33/0.59 (assume @p12 (forall @t45 (or @t46 @t44 @t38 @t35))) % 0.33/0.59 (assume @p13 (forall @t51 (or @t50 @t19 @t48 @t30))) % 0.33/0.59 (assume @p14 (forall @t51 (or @t50 @t19 @t48 @t52))) % 0.33/0.59 (assume @p15 (forall @t54 (or @t18 @t48 @t52 @t53))) % 0.33/0.59 (assume @p16 (forall @t65 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t56 @t55 @t2) @t63 @t15) @t62) @t61 @t59))) % 0.33/0.59 (assume @p17 (forall @t69 (= @t68 @t41))) % 0.33/0.59 (assume @p18 (forall @t71 (= @t70 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t13 @t15)))) % 0.33/0.59 (assume @p19 (forall (@list @t14 @t2 @t36) (or @t24 (not @t73)))) % 0.33/0.59 (assume @p20 (forall @t74 (or @t73 @t35))) % 0.33/0.59 (assume @p21 (forall @t76 (tptp.c_Nitpick_Ofold__graph_H @t5 @t75 @t40 @t75 @t2 @t1))) % 0.33/0.59 (assume @p22 (forall @t76 (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t40 @t75 @t2 @t1))) % 0.33/0.59 (assume @p23 (forall (@list @t47 @t75 @t5 @t2 @t1) (or (= @t47 @t75) (not (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t40 @t47 @t2 @t1))))) % 0.33/0.59 (assume @p24 (forall @t77 (tptp.c_Finite__Set_Ofinite @t40 @t2))) % 0.33/0.59 (assume @p25 (forall @t78 (not (tptp.c_HOL_Oord__class_Oless @t14 @t40 @t15)))) % 0.33/0.59 (assume @p26 (forall @t86 (or @t85 @t84 @t81))) % 0.33/0.59 (assume @p27 (forall @t86 (or @t64 @t89 @t88))) % 0.33/0.59 (assume @p28 (forall @t92 (or @t64 @t91 @t90))) % 0.33/0.59 (assume @p29 (forall @t86 (or @t64 @t83 @t80))) % 0.33/0.59 (assume @p30 (forall @t92 (or @t64 @t81 @t84))) % 0.33/0.59 (assume @p31 (forall @t95 (or @t64 @t94 @t93))) % 0.33/0.59 (assume @p32 (forall @t95 (or @t64 (not @t93) @t96))) % 0.33/0.59 (assume @p33 (forall @t92 (or @t64 @t80 @t83))) % 0.33/0.59 (assume @p34 (forall @t92 (or @t85 @t80 @t83 @t91))) % 0.33/0.59 (assume @p35 (forall @t92 (or @t97 @t88 @t81))) % 0.33/0.59 (assume @p36 (forall @t92 (or @t85 @t88 @t81))) % 0.33/0.59 (assume @p37 (forall @t101 (or @t97 @t100 @t99 @t90))) % 0.33/0.59 (assume @p38 (forall @t101 (or @t97 @t100 @t102 @t84))) % 0.33/0.59 (assume @p39 (forall @t105 (or @t85 @t104 @t103 @t91))) % 0.33/0.59 (assume @p40 (forall @t105 (or @t85 @t104 @t107 @t81))) % 0.33/0.59 (assume @p41 (forall @t114 (or @t97 @t113 @t112 @t111))) % 0.33/0.59 (assume @p42 (forall @t114 (or @t97 @t113 @t111 @t112))) % 0.33/0.59 (assume @p43 (forall @t92 (or @t97 @t115 @t80 @t91))) % 0.33/0.59 (assume @p44 (forall @t92 (or @t97 @t80 @t115 @t91))) % 0.33/0.59 (assume @p45 (forall @t120 (or @t97 @t119 @t112 @t118))) % 0.33/0.59 (assume @p46 (forall @t120 (or @t97 @t119 @t118 @t112))) % 0.33/0.59 (assume @p47 (forall @t92 (or @t64 @t115 @t91 @t80))) % 0.33/0.59 (assume @p48 (forall @t92 (or @t64 @t115 @t80 @t91))) % 0.33/0.59 (assume @p49 (forall @t120 (or @t125 @t124 (not @t122)))) % 0.33/0.59 (assume @p50 (forall @t114 (or @t125 @t122 (not @t124)))) % 0.33/0.59 (assume @p51 (forall @t120 (or @t125 @t127 (not @t126)))) % 0.33/0.59 (assume @p52 (forall @t114 (or @t125 @t126 (not @t127)))) % 0.33/0.59 (assume @p53 (forall @t131 (or @t130 @t129 (not (tptp.c_HOL_Oord__class_Oless @t47 @t108 @t2))))) % 0.33/0.59 (assume @p54 (forall @t131 (or @t130 @t129 (not (tptp.c_HOL_Oord__class_Oless @t47 @t36 @t2))))) % 0.33/0.59 (assume @p55 (forall @t132 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t2)) @t24))) % 0.33/0.59 (assume @p56 (forall (@list @t2 @t108 @t133 @t134 @t36) (or @t97 @t140 @t139 @t118 @t138))) % 0.33/0.59 (assume @p57 (forall (@list @t147 @t148 @t146 @t2 @t145 @t143 @t144 @t141 @t142) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t147 @t148 (tptp.c_COMBC @t146 @t2 @t2 tptp.tc_bool) (tptp.c_COMBC @t145 @t2 @t2 tptp.tc_bool) @t143 @t144 @t141 @t142 @t2) @t149))) % 0.33/0.59 (assume @p58 (forall (@list @t150 @t2 @t1 @t151) (= (tptp.hAPP (tptp.c_COMBK @t150 @t2 @t1) @t151) @t150))) % 0.33/0.59 (assume @p59 (forall (@list @t150 @t1 @t153 @t2 @t151 @t152) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t150 @t1 @t153 @t2) @t151) @t152) (tptp.hAPP (tptp.hAPP @t150 @t152) @t151)))) % 0.33/0.59 (assume @p60 (forall @t101 (or @t97 @t100 @t102 @t90))) % 0.33/0.59 (assume @p61 (forall @t157 (or @t156 @t155 @t30))) % 0.33/0.59 (assume @p62 (forall @t29 (or @t28 @t27 @t30))) % 0.33/0.59 (assume @p63 (forall @t105 (or @t85 @t104 @t103 @t81))) % 0.33/0.59 (assume @p64 (forall (@list @t14 @t2 @t5 @t75 @t47 @t1) (or @t24 (not (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t14 @t47 @t2 @t1))))) % 0.33/0.59 (assume @p65 (forall @t162 (or @t97 @t161 @t159))) % 0.33/0.59 (assume @p66 (forall @t162 (or @t97 (not @t161) @t163))) % 0.33/0.59 (assume @p67 (forall @t22 (or @t165 @t35))) % 0.33/0.59 (assume @p68 (forall @t25 (or @t24 @t166 @t23))) % 0.33/0.59 (assume @p69 (forall @t22 (or @t165 @t35 @t23))) % 0.33/0.59 (assume @p70 (forall @t69 (= (tptp.c_The @t67 @t2) @t36))) % 0.33/0.59 (assume @p71 (forall (@list @t167 @t169 @t2) (or @t171 (not @t170) (not @t168)))) % 0.33/0.59 (assume @p72 (forall (@list @t167 @t2 @t169) (or @t168 @t172))) % 0.33/0.59 (assume @p73 (forall (@list @t169 @t2 @t167) (or @t170 @t172))) % 0.33/0.59 (assume @p74 (forall @t114 (or @t125 @t174 @t173))) % 0.33/0.59 (assume @p75 (forall @t120 (or @t125 @t119 (not @t174)))) % 0.33/0.59 (assume @p76 (forall @t175 (not (tptp.c_HOL_Oord__class_Oless @t47 @t47 @t15)))) % 0.33/0.59 (assume @p77 (forall @t95 (or @t97 @t96))) % 0.33/0.59 (assume @p78 (forall @t95 (or @t64 @t96))) % 0.33/0.59 (assume @p79 (forall @t95 (or @t85 @t96))) % 0.33/0.59 (assume @p80 (forall @t183 (or @t97 @t137 @t182 (not @t140) @t180 @t178))) % 0.33/0.59 (assume @p81 (forall @t183 (or @t97 @t137 @t182 (not @t139) @t180 @t178))) % 0.33/0.59 (assume @p82 (forall @t86 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t2)) @t89 @t80 @t115))) % 0.33/0.59 (assume @p83 (forall @t92 (or @t64 @t115 @t89 @t80))) % 0.33/0.59 (assume @p84 (forall @t86 (or @t64 @t89 @t80 @t115))) % 0.33/0.59 (assume @p85 (forall @t86 (or @t64 @t89 @t115 @t80))) % 0.33/0.59 (assume @p86 (forall @t92 (or @t64 @t115 @t80 @t89))) % 0.33/0.59 (assume @p87 (forall @t162 (or @t97 @t184 @t159))) % 0.33/0.59 (assume @p88 (forall @t162 (or @t97 (not @t184) @t163))) % 0.33/0.59 (assume @p89 (forall @t190 (or @t125 @t189 @t187 @t81))) % 0.33/0.59 (assume @p90 (forall @t190 (or @t125 @t189 @t80 (not @t187)))) % 0.33/0.59 (assume @p91 (forall @t120 (or @t97 @t173 @t191))) % 0.33/0.59 (assume @p92 (forall @t92 (or @t64 @t81 @t90))) % 0.33/0.59 (assume @p93 (forall @t86 (or @t85 @t90 @t81))) % 0.33/0.59 (assume @p94 (forall @t114 (or @t85 @t191 @t173))) % 0.33/0.59 (assume @p95 (forall (@list @t1 @t5 @t14 @t13 @t2) (or @t46 (= (tptp.c_Finite__Set_Osetsum @t5 @t164 @t2 @t1) (tptp.c_HOL_Ominus__class_Ominus @t39 (tptp.c_Finite__Set_Osetsum @t5 @t13 @t2 @t1) @t1)) @t193 @t35))) % 0.33/0.59 (assume @p96 (forall @t162 (or @t97 @t161 (not (tptp.hBOOL (tptp.hAPP @t58 @t158)))))) % 0.33/0.59 (assume @p97 (forall (@list @t5 @t75 @t47 @t14 @t2 @t79 @t1) (or (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t196 @t195 @t2 @t1) (not (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t14 @t79 @t2 @t1)) @t48))) % 0.33/0.59 (assume @p98 (forall @t198 (or @t20 @t197 @t53))) % 0.33/0.59 (assume @p99 (forall @t51 (or @t50 @t197 @t30))) % 0.33/0.59 (assume @p100 (forall @t199 (or @t97 @t179 @t118 @t138))) % 0.33/0.59 (assume @p101 (forall @t200 (or @t97 @t177 @t118 @t138))) % 0.33/0.59 (assume @p102 (forall (@list @t2 @t134 @t133 @t36 @t108) (or @t97 @t181 @t138))) % 0.33/0.59 (assume @p103 (forall @t183 (or @t97 @t137 @t182 @t117))) % 0.33/0.59 (assume @p104 (forall @t65 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t56 @t55 @t2) @t63 @t15) @t201) @t61 @t59))) % 0.33/0.59 (assume @p105 (forall (@list @t13 @t47 @t1 @t14 @t2) (or (tptp.c_Finite__Set_Ofinite @t205 @t1) @t204 (not (tptp.c_Finite__Set_Ofinite @t203 @t1)) @t35))) % 0.33/0.59 (assume @p106 (forall @t45 (or @t46 (= @t43 @t39) @t37 @t35))) % 0.33/0.59 (assume @p107 (forall @t120 (or @t97 @t206 @t191))) % 0.33/0.59 (assume @p108 (forall (@list @t1 @t14 @t208 @t2) (or @t209 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 (tptp.c_COMBK @t208 @t1 @t2) @t2 @t1) @t208) @t207))) % 0.33/0.59 (assume @p109 (forall (@list @t1 @t134 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t211 @t210 @t1 @t15) @t40))) % 0.33/0.59 (assume @p110 (forall (@list @t14 @t134 @t2 @t1) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t210 @t1 @t15) @t134) (= @t14 @t211)))) % 0.33/0.59 (assume @p111 (forall (@list @t14 @t2 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 (tptp.c_COMBK @t40 @t15 @t1) @t1 @t15) @t40))) % 0.33/0.59 (assume @p112 (forall (@list @t14 @t13 @t2 @t36) (or @t165 (not @t213)))) % 0.33/0.59 (assume @p113 (forall @t214 (or @t213 @t166))) % 0.33/0.59 (assume @p114 (forall @t120 (or @t97 @t216 @t119))) % 0.33/0.59 (assume @p115 (forall @t120 (or @t97 (not @t216) @t173))) % 0.33/0.59 (assume @p116 (forall @t120 (or @t97 @t217 @t119))) % 0.33/0.59 (assume @p117 (forall @t120 (or @t97 (not @t217) @t173))) % 0.33/0.59 (assume @p118 (forall @t77 (or @t220 (tptp.c_Complete__Lattice_Ocomplete__lattice__axioms @t219 @t218 @t57 @t2)))) % 0.33/0.59 (assume @p119 (or (not (tptp.class_HOL_Ouminus tptp.t_b)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus tptp.v_A (tptp.tc_fun tptp.t_a tptp.t_b)) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP tptp.v_A tptp.v_x) tptp.t_b)))) % 0.33/0.59 (assume @p120 (forall @t222 (or @t64 (tptp.hBOOL (tptp.hAPP @t87 @t221)) @t204 @t35))) % 0.33/0.59 (assume @p121 (forall @t224 (or @t64 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t223) @t47)) @t204 @t35))) % 0.33/0.59 (assume @p122 (forall @t132 (or @t64 (tptp.hBOOL (tptp.c_in @t223 @t14 @t2)) @t207 @t35))) % 0.33/0.59 (assume @p123 (forall @t132 (or @t64 (tptp.hBOOL (tptp.c_in @t221 @t14 @t2)) @t207 @t35))) % 0.33/0.59 (assume @p124 (forall (@list @t5 @t36 @t14 @t2 @t47) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t5 @t72 @t2) @t47)) @t37 (not (tptp.c_Finite__Set_Ofold__graph @t5 @t36 @t14 @t47 @t2 @t2))))) % 0.33/0.59 (assume @p125 (forall @t227 (or (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t14 @t195 @t2 @t1) @t204 (not (tptp.c_Finite__Set_Ofold__graph @t5 @t75 @t226 @t79 @t2 @t1))))) % 0.33/0.59 (assume @p126 (forall (@list @t5 @t14 @t36 @t2) (or (= (tptp.c_Finite__Set_Osetsum @t5 @t42 @t2 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t5 @t14 @t2 tptp.tc_nat)) @t37))) % 0.33/0.59 (assume @p127 (forall @t51 (or @t50 @t204 @t229 @t30))) % 0.33/0.59 (assume @p128 (forall @t51 (or @t50 @t204 @t229 @t52))) % 0.33/0.59 (assume @p129 (forall (@list @t14 @t47 @t2 @t13) (or @t228 @t204 @t52 @t53))) % 0.33/0.59 (assume @p130 (forall @t227 (or (tptp.c_Nitpick_Ofold__graph_H @t5 @t75 @t14 @t195 @t2 @t1) (not (tptp.c_Nitpick_Ofold__graph_H @t5 @t75 @t226 @t79 @t2 @t1)) @t204))) % 0.33/0.59 (assume @p131 (forall @t51 (or @t50 @t19 @t229 @t30))) % 0.33/0.59 (assume @p132 (forall (@list @t2 @t230 @t208) (or @t64 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Finite__Set_Olinorder__class_OMin @t230 @t2)) (tptp.c_Finite__Set_Olinorder__class_OMin @t208 @t2))) @t233 @t232 @t231))) % 0.33/0.59 (assume @p133 (forall (@list @t2 @t208 @t230) (or @t64 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Finite__Set_Olinorder__class_OMax @t208 @t2)) (tptp.c_Finite__Set_Olinorder__class_OMax @t230 @t2))) @t233 @t232 @t231))) % 0.33/0.59 (assume @p134 (forall @t241 (or @t240 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_COMBK (tptp.hAPP (tptp.c_COMBC (tptp.c_fequal tptp.tc_Com_Ostate) tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_bool) @t239) @t237 tptp.t_a) @t134 (tptp.c_COMBK (tptp.hAPP @t151 @t238) @t237 tptp.t_a) tptp.t_a) @t236 @t234) tptp.t_a))))) % 0.33/0.59 (assume @p135 (forall @t243 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert @t56 @t40 @t2) @t201 @t15) @t62) @t242))) % 0.33/0.59 (assume @p136 (forall @t51 (or @t50 @t19 @t229 @t52))) % 0.33/0.59 (assume @p137 (forall @t246 (or @t130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t245) @t47)) (not @t244) @t84))) % 0.33/0.59 (assume @p138 (forall @t250 (or @t130 @t249 @t107 (not @t247)))) % 0.33/0.59 (assume @p139 (forall @t86 (or @t252 @t251))) % 0.33/0.59 (assume @p140 (forall @t92 (or @t252 @t253))) % 0.33/0.59 (assume @p141 (forall @t114 (or @t125 @t255 (not @t254)))) % 0.33/0.59 (assume @p142 (forall @t120 (or @t125 @t254 (not @t255)))) % 0.33/0.59 (assume @p143 (forall @t114 (or @t125 @t258 (not @t256)))) % 0.33/0.59 (assume @p144 (forall @t120 (or @t125 @t256 (not @t258)))) % 0.33/0.59 (assume @p145 (forall @t243 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t259 (tptp.c_Set_Oinsert @t60 @t40 @t2) @t15) @t62) @t242))) % 0.33/0.59 (assume @p146 (forall @t95 (or @t261 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t260 @t47 @t2) @t47)))) % 0.33/0.59 (assume @p147 (forall @t95 (or @t261 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t260 @t2) @t47)))) % 0.33/0.59 (assume @p148 (forall @t34 (or @t261 @t262 (= @t14 @t260)))) % 0.33/0.59 (assume @p149 (forall @t34 (or @t261 @t262 (= @t13 @t260)))) % 0.33/0.59 (assume @p150 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t40 @t15) @t40))) % 0.33/0.59 (assume @p151 (forall (@list @t148 @t2 @t141 @t147 @t146 @t145 @t144 @t143 @t142) (or (= (tptp.hAPP @t148 @t40) @t141) @t149))) % 0.33/0.59 (assume @p152 (forall (@list @t147 @t2 @t142 @t148 @t146 @t145 @t144 @t143 @t141) (or (= (tptp.hAPP @t147 @t40) @t142) @t149))) % 0.33/0.59 (assume @p153 (forall (@list @t2 @t150 @t47) (or (not (= @t40 @t265)) @t264))) % 0.33/0.59 (assume @p154 (forall @t175 @t266)) % 0.33/0.59 (assume @p155 (forall @t267 (or @t263 @t266))) % 0.33/0.59 (assume @p156 (forall (@list @t134 @t2) (not (tptp.hBOOL (tptp.c_in @t134 @t40 @t2))))) % 0.33/0.59 (assume @p157 (forall (@list @t36 @t2) (not (tptp.hBOOL (tptp.c_in @t36 @t40 @t2))))) % 0.33/0.59 (assume @p158 (forall (@list @t150 @t2 @t47) (or (not (= @t265 @t40)) @t264))) % 0.33/0.59 (assume @p159 (forall (@list @t5 @t2 @t47) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t5 @t40 @t2) @t47))))) % 0.33/0.59 (assume @p160 (forall @t132 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t14 @t15) @t40))) % 0.33/0.59 (assume @p161 (forall @t78 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t40 @t15) @t14))) % 0.33/0.59 (assume @p162 (forall (@list @t2 @t13) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t13 @t15) @t13))) % 0.33/0.59 (assume @p163 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t14 @t15) @t40))) % 0.33/0.59 (assume @p164 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t40 @t15) @t14))) % 0.33/0.59 (assume @p165 (forall @t267 (or @t264 @t266))) % 0.33/0.59 (assume @p166 (forall @t22 (or @t269 (= @t13 @t40)))) % 0.33/0.59 (assume @p167 (forall @t22 (or @t269 @t207))) % 0.33/0.59 (assume @p168 (forall @t74 (or (= @t270 @t14) @t38))) % 0.33/0.59 (assume @p169 (forall @t120 (or @t220 (= (tptp.hAPP @t218 @t272) @t128)))) % 0.33/0.59 (assume @p170 (forall @t273 (or (= (tptp.c_HOL_Ominus__class_Ominus @t196 @t225 @t15) @t14) @t48))) % 0.33/0.59 (assume @p171 (forall (@list @t36 @t108 @t14 @t2) (or @t274 @t38))) % 0.33/0.59 (assume @p172 (forall (@list @t36 @t108 @t13 @t2) (or (tptp.hBOOL (tptp.c_in @t36 @t275 @t2)) (not (tptp.hBOOL (tptp.c_in @t36 @t13 @t2)))))) % 0.33/0.59 (assume @p173 (forall (@list @t148 @t36 @t14 @t2 @t144 @t147 @t146 @t145 @t143 @t142 @t141) (or (= (tptp.hAPP @t148 @t72) (tptp.hAPP @t277 @t276)) @t149))) % 0.33/0.59 (assume @p174 (forall (@list @t147 @t36 @t14 @t2 @t143 @t148 @t146 @t145 @t144 @t142 @t141) (or (= (tptp.hAPP @t147 @t72) (tptp.hAPP @t279 @t278)) @t149))) % 0.33/0.59 (assume @p175 (forall (@list @t36 @t14 @t2 @t108) (or @t37 @t112 (not @t274)))) % 0.33/0.59 (assume @p176 (forall @t214 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t70 @t15) (tptp.c_Set_Oinsert @t36 @t268 @t2)))) % 0.33/0.59 (assume @p177 (forall (@list @t36 @t13 @t2 @t26) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t70 @t26 @t15) (tptp.c_Set_Oinsert @t36 @t280 @t2)))) % 0.33/0.59 (assume @p178 (forall @t273 (tptp.hBOOL (tptp.c_in @t47 @t196 @t2)))) % 0.33/0.59 (assume @p179 (forall @t71 (tptp.hBOOL (tptp.c_in @t36 @t70 @t2)))) % 0.33/0.59 (assume @p180 (forall (@list @t47 @t13 @t2) (tptp.hBOOL (tptp.c_in @t47 @t49 @t2)))) % 0.33/0.59 (assume @p181 (forall @t281 (or (not (= @t196 @t49)) @t52 @t48 @t21))) % 0.33/0.59 (assume @p182 (forall @t74 (or (= @t72 @t14) @t38))) % 0.33/0.59 (assume @p183 (forall (@list @t13 @t26 @t14 @t2) (or (= (tptp.c_HOL_Ominus__class_Ominus @t13 (tptp.c_HOL_Ominus__class_Ominus @t26 @t14 @t15) @t15) @t14) @t33 @t19))) % 0.33/0.59 (assume @p184 (forall (@list @t282 @t13 @t2 @t14) (or (tptp.hBOOL (tptp.c_in @t282 @t13 @t2)) (not (tptp.hBOOL (tptp.c_in @t282 @t14 @t2))) @t19))) % 0.33/0.59 (assume @p185 (forall @t283 (or @t52 @t19 @t204))) % 0.33/0.59 (assume @p186 (forall @t157 (or @t156 @t155 @t19))) % 0.33/0.59 (assume @p187 (forall @t283 (or @t52 @t204 @t19))) % 0.33/0.59 (assume @p188 (forall (@list @t2 @t13 @t26 @t14) (or @t32 @t286))) % 0.33/0.59 (assume @p189 (forall @t288 (or @t287 @t286))) % 0.33/0.59 (assume @p190 (forall @t291 (or (tptp.hBOOL (tptp.hAPP @t284 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t290 @t15))) (not (tptp.hBOOL (tptp.hAPP @t31 @t290))) @t289))) % 0.33/0.59 (assume @p191 (forall @t22 (or (not @t292) @t18))) % 0.33/0.59 (assume @p192 (forall @t22 (or (= @t268 @t14) @t193))) % 0.33/0.59 (assume @p193 (forall @t22 (or @t292 @t19))) % 0.33/0.59 (assume @p194 (forall @t291 (or (tptp.hBOOL (tptp.hAPP @t293 (tptp.c_HOL_Ominus__class_Ominus @t26 @t290 @t15))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t290) @t13))) @t289))) % 0.33/0.59 (assume @p195 (forall @t34 (or @t296 @t193))) % 0.33/0.59 (assume @p196 (forall @t297 (or @t192 (not @t296)))) % 0.33/0.59 (assume @p197 (forall @t297 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t294) @t295)) @t19))) % 0.33/0.59 (assume @p198 (forall @t298 (or @t285 @t33 @t289))) % 0.33/0.59 (assume @p199 (forall @t297 (tptp.hBOOL (tptp.hAPP @t31 @t268)))) % 0.33/0.59 (assume @p200 (forall @t34 (tptp.hBOOL (tptp.hAPP @t17 @t268)))) % 0.33/0.59 (assume @p201 (forall @t34 (tptp.hBOOL (tptp.hAPP @t293 @t14)))) % 0.33/0.59 (assume @p202 (forall @t302 (not (= tptp.c_Com_Ocom_OSKIP @t301)))) % 0.33/0.59 (assume @p203 (forall @t302 (not (= @t301 tptp.c_Com_Ocom_OSKIP)))) % 0.33/0.59 (assume @p204 (forall @t306 (or @t305 @t204 @t304))) % 0.33/0.59 (assume @p205 (forall @t306 (or @t303 @t204 @t307))) % 0.33/0.59 (assume @p206 (forall @t120 (or @t97 (not @t206) @t118))) % 0.33/0.59 (assume @p207 (forall @t120 (or @t97 @t206 @t117))) % 0.33/0.59 (assume @p208 (forall @t120 (or @t97 (not @t308) @t118))) % 0.33/0.59 (assume @p209 (forall @t120 (or @t97 @t308 @t117))) % 0.33/0.59 (assume @p210 (forall @t120 (or @t97 @t217 @t111))) % 0.33/0.59 (assume @p211 (forall @t183 (or @t97 @t309 @t117))) % 0.33/0.59 (assume @p212 (forall @t200 (or @t97 @t177 @t118 @t310))) % 0.33/0.59 (assume @p213 (forall @t199 (or @t97 @t179 @t118 @t310))) % 0.33/0.59 (assume @p214 (forall @t183 (or @t97 @t309 @t180 @t178))) % 0.33/0.59 (assume @p215 (forall @t200 (or @t64 @t177 @t110 @t311))) % 0.33/0.59 (assume @p216 (forall @t86 (or @t130 @t251))) % 0.33/0.59 (assume @p217 (forall @t92 (or @t130 @t253))) % 0.33/0.59 (assume @p218 (forall (@list @t2 @t36 @t108 @t47) (or @t130 @t314 (not @t313) (not @t312)))) % 0.33/0.59 (assume @p219 (forall @t120 (or @t125 @t117 (not @t315)))) % 0.33/0.59 (assume @p220 (forall @t114 (or @t125 @t315 @t118))) % 0.33/0.59 (assume @p221 (forall @t92 (or @t130 (= @t248 @t47) @t84))) % 0.33/0.59 (assume @p222 (forall @t92 (or @t130 (not @t316) @t88))) % 0.33/0.59 (assume @p223 (forall @t92 (or @t130 @t316 @t91))) % 0.33/0.59 (assume @p224 (forall @t246 (or @t130 @t106 @t317))) % 0.33/0.59 (assume @p225 (forall @t105 (or @t130 @t247 @t317))) % 0.33/0.59 (assume @p226 (forall @t131 (or @t130 @t318 (not (tptp.hBOOL (tptp.hAPP @t87 @t108)))))) % 0.33/0.59 (assume @p227 (forall @t131 (or @t130 @t318 (not (tptp.hBOOL (tptp.hAPP @t87 @t36)))))) % 0.33/0.59 (assume @p228 (forall (@list @t2 @t108 @t47 @t36) (or @t130 @t313 @t319))) % 0.33/0.59 (assume @p229 (forall (@list @t2 @t36 @t47 @t108) (or @t130 @t312 @t319))) % 0.33/0.59 (assume @p230 (forall @t190 (or @t125 @t189 @t320 @t84))) % 0.33/0.59 (assume @p231 (forall @t190 (or @t125 @t189 @t83 (not @t320)))) % 0.33/0.59 (assume @p232 (forall @t120 (or @t321 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t36 @t108 @t2) @t2) (tptp.c_HOL_Ominus__class_Ominus @t108 @t36 @t2))))) % 0.33/0.59 (assume @p233 (forall @t324 (or @t323 (= @t322 @t108)))) % 0.33/0.59 (assume @p234 (forall @t69 (or @t323 (= @t36 @t325)))) % 0.33/0.59 (assume @p235 (forall @t324 (or @t323 (= @t108 @t322)))) % 0.33/0.59 (assume @p236 (forall @t95 (or @t327 (= (tptp.c_HOL_Ouminus__class_Ouminus @t326 @t2) @t47)))) % 0.33/0.59 (assume @p237 (forall @t69 (or @t323 (= @t325 @t36)))) % 0.33/0.59 (assume @p238 (forall @t78 (= (tptp.c_HOL_Ouminus__class_Ouminus @t295 @t15) @t14))) % 0.33/0.59 (assume @p239 (forall @t298 (or @t329 (not @t328)))) % 0.33/0.59 (assume @p240 (forall @t298 (or @t328 (not @t329)))) % 0.33/0.59 (assume @p241 (forall @t281 (or (= @t330 (tptp.c_Set_Oinsert @t47 @t164 @t2)) @t52))) % 0.33/0.59 (assume @p242 (forall (@list @t14 @t13 @t2 @t1 @t108 @t36) (or @t332 (not (tptp.hBOOL (tptp.hAPP @t331 @t108))) @t38))) % 0.33/0.59 (assume @p243 (forall (@list @t14 @t13 @t2 @t1 @t108 @t47) (or @t332 (not (tptp.hBOOL (tptp.hAPP @t205 @t108))) @t204))) % 0.33/0.59 (assume @p244 (forall @t92 (or @t252 @t333))) % 0.33/0.59 (assume @p245 (forall @t92 (or @t130 @t333))) % 0.33/0.59 (assume @p246 (forall @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t268 @t15) @t268))) % 0.33/0.59 (assume @p247 (forall @t92 (or @t252 @t334))) % 0.33/0.59 (assume @p248 (forall @t92 (or @t130 @t334))) % 0.33/0.59 (assume @p249 (forall @t22 (= @t268 @t335))) % 0.33/0.59 (assume @p250 (forall (@list @t146 @t47 @t147 @t14 @t2 @t148 @t145 @t144 @t143 @t142 @t141) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t146 @t47) @t278)) @t204 @t149))) % 0.33/0.59 (assume @p251 (forall (@list @t146 @t148 @t14 @t47 @t2 @t147 @t145 @t144 @t143 @t142 @t141) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t146 @t276) @t47)) @t204 @t149))) % 0.33/0.59 (assume @p252 (forall @t336 (= (tptp.c_HOL_Ominus__class_Ominus @t268 @t26 @t15) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus @t14 @t26 @t15) (tptp.c_HOL_Ominus__class_Ominus @t13 @t26 @t15) @t15)))) % 0.33/0.59 (assume @p253 (forall (@list @t1 @t14 @t13) (or (not (tptp.class_HOL_Ominus @t1)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t14 @t13 @t338) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus @t337 (tptp.hAPP @t13 tptp.v_x) @t1))))) % 0.33/0.59 (assume @p254 (forall @t22 (= @t340 @t268))) % 0.33/0.59 (assume @p255 (forall (@list @t13 @t14 @t2) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t339 @t14 @t15) @t335))) % 0.33/0.59 (assume @p256 (forall (@list @t108 @t14 @t13 @t2 @t1 @t36) (or (tptp.hBOOL (tptp.c_in @t108 @t203 @t1)) (not (tptp.hBOOL (tptp.c_in @t108 @t331 @t1))) @t38))) % 0.33/0.59 (assume @p257 (forall (@list @t108 @t14 @t13 @t1 @t2 @t47) (or (tptp.hBOOL (tptp.c_in @t108 @t342 @t2)) (not (tptp.hBOOL (tptp.c_in @t108 @t205 @t2))) @t341))) % 0.33/0.59 (assume @p258 (forall @t344 (or @t343 @t156 @t155))) % 0.33/0.59 (assume @p259 (forall (@list @t150 @t36 @t2) (or @t346 (not @t345)))) % 0.33/0.59 (assume @p260 (forall (@list @t36 @t150 @t2) (or @t345 (not @t346)))) % 0.33/0.59 (assume @p261 (forall @t22 (or (= @t340 @t13) @t19))) % 0.33/0.59 (assume @p262 (forall @t250 (or @t252 @t348))) % 0.33/0.59 (assume @p263 (forall @t250 (or @t252 @t349))) % 0.33/0.59 (assume @p264 (forall @t250 (or @t130 @t349))) % 0.33/0.59 (assume @p265 (forall @t250 (or @t130 @t348))) % 0.33/0.59 (assume @p266 (forall @t336 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t268 @t26 @t15) @t350))) % 0.33/0.59 (assume @p267 (forall (@list @t14 @t13 @t26 @t2) (= @t350 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t26 @t15) @t15)))) % 0.33/0.59 (assume @p268 (forall (@list @t2 @t47 @t186 @t185) (or @t321 (not (= @t351 @t188)) (= @t186 @t185)))) % 0.33/0.59 (assume @p269 (forall (@list @t2 @t352 @t79 @t47) (or @t321 (not (= (tptp.c_HOL_Ominus__class_Ominus @t352 @t79 @t2) @t351)) (= @t352 @t79)))) % 0.33/0.59 (assume @p270 (forall @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t164 @t13 @t15) @t164))) % 0.33/0.59 (assume @p271 (forall (@list @t353 @t47 @t2) (or @t355 (not @t354)))) % 0.33/0.59 (assume @p272 (forall (@list @t47 @t353 @t2) (or @t354 (not @t355)))) % 0.33/0.59 (assume @p273 (forall @t357 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t356 @t15) @t14))) % 0.33/0.59 (assume @p274 (forall @t95 (or @t130 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t47 @t2) @t47)))) % 0.33/0.59 (assume @p275 (forall @t78 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t14 @t15) @t14))) % 0.33/0.59 (assume @p276 (forall (@list @t1 @t5 @t4) (or (not (tptp.class_Lattices_Olattice @t1)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t4 @t338) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t5 tptp.v_x) (tptp.hAPP @t4 tptp.v_x) @t1))))) % 0.33/0.59 (assume @p277 (forall (@list @t5 @t14 @t2) (= (tptp.c_Finite__Set_Ofold1 @t5 @t14 @t2) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t5 @t14 @t2) @t2)))) % 0.33/0.59 (assume @p278 (forall (@list @t1 @t208 @t358 @t14 @t2) (or @t209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t359 (tptp.hAPP @t208 @t358)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t208 @t2 @t1))) (not (tptp.hBOOL (tptp.c_in @t358 @t14 @t2)))))) % 0.33/0.59 (assume @p279 (forall (@list @t1 @t13 @t36 @t14 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals @t202) @t331) @t203)) @t38))) % 0.33/0.59 (assume @p280 (forall @t281 (or (= @t330 @t164) @t197))) % 0.33/0.59 (assume @p281 (forall @t361 (or @t155 (not @t360)))) % 0.33/0.59 (assume @p282 (forall @t361 (or @t360 @t154))) % 0.33/0.59 (assume @p283 (forall (@list @t150 @t2) (= @t265 @t150))) % 0.33/0.59 (assume @p284 (forall @t365 (or @t364 (= @t362 @t299)))) % 0.33/0.59 (assume @p285 (forall @t365 (or @t364 (= @t363 @t300)))) % 0.33/0.59 (assume @p286 (forall @t367 (or @t220 (= (tptp.hAPP @t218 @t72) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t366 @t2))))) % 0.33/0.59 (assume @p287 (forall @t22 (= (tptp.c_HOL_Ouminus__class_Ouminus @t164 @t15) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t295 @t13 @t15)))) % 0.33/0.59 (assume @p288 (forall (@list @t14 @t13 @t1 @t2 @t47) (or (not (= @t342 @t40)) @t368 @t341))) % 0.33/0.59 (assume @p289 (forall (@list @t134 @t14 @t2 @t13) (or @t154 @t369))) % 0.33/0.59 (assume @p290 (forall @t157 (or @t370 @t369))) % 0.33/0.59 (assume @p291 (forall (@list @t2 @t14 @t47 @t13 @t371 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t372) @t13)) (not (tptp.hBOOL (tptp.c_in @t47 @t371 @t1))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t371 @t14 @t1 @t15)) @t13)))))) % 0.33/0.59 (assume @p292 (forall (@list @t14 @t158 @t371 @t2 @t1) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t14 @t158) @t373 @t202) @t373) (not (tptp.hBOOL (tptp.c_in @t158 @t371 @t2)))))) % 0.33/0.59 (assume @p293 (forall (@list @t13 @t47 @t14 @t2) (or @t376 @t375 (not @t374)))) % 0.33/0.59 (assume @p294 (forall @t198 (or @t374 (not @t376)))) % 0.33/0.59 (assume @p295 (forall @t198 (or @t374 @t377))) % 0.33/0.59 (assume @p296 (forall @t157 (or @t156 @t154 (not @t378)))) % 0.33/0.59 (assume @p297 (forall @t65 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t379 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t55 @t60 @t2) @t15) @t259) @t61 @t59))) % 0.33/0.59 (assume @p298 (forall (@list @t2 @t14 @t13 @t1 @t47) (or (not (= @t40 @t342)) @t368 @t341))) % 0.33/0.59 (assume @p299 (forall (@list @t1 @t14 @t2 @t13) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t211 @t14 @t1 @t15) @t13 @t15) @t13))) % 0.33/0.59 (assume @p300 (forall @t357 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t356 @t15) @t14))) % 0.33/0.59 (assume @p301 (forall @t65 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t379 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t55 @t60 @t2) @t15) @t62) @t61 @t59))) % 0.33/0.59 (assume @p302 (forall @t92 (or @t327 (not (= @t326 (tptp.c_HOL_Ouminus__class_Ouminus @t79 @t2))) @t115))) % 0.33/0.59 (assume @p303 (forall @t120 (or @t323 (not (= @t123 @t121)) @t112))) % 0.33/0.59 (assume @p304 (forall @t25 (or (not (= @t295 @t294)) @t21))) % 0.33/0.59 (assume @p305 (= (tptp.hAPP @t380 tptp.v_x) (tptp.c_in tptp.v_x @t380 tptp.t_a))) % 0.33/0.59 (assume @p306 (forall (@list @t36 @t14 @t1 @t13 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t36 @t14 @t1) @t13 @t1 @t15) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t331 @t342 @t15)))) % 0.33/0.59 (assume @p307 (forall @t224 (or @t220 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t219 @t14)) @t47)) @t204))) % 0.33/0.59 (assume @p308 (forall (@list @t1 @t14) (or (not (tptp.class_HOL_Ouminus @t1)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t338) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus @t337 @t1))))) % 0.33/0.59 (assume @p309 (forall @t344 (or @t378 @t370))) % 0.33/0.59 (assume @p310 (forall @t344 (or @t378 @t155))) % 0.33/0.59 (assume @p311 (forall (@list @t2 @t358 @t55 @t381) (or @t64 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t358 @t55 @t2) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t358 @t381 @t2) @t15) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t381 @t55 @t2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t358) @t381)))))) % 0.33/0.59 (assume @p312 (forall (@list @t14 @t13 @t1 @t208 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t13 @t202) @t208 @t1 @t15) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t208 @t1 @t15) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t208 @t1 @t15) @t15)))) % 0.33/0.59 (assume @p313 (forall @t95 (= (tptp.c_The @t382 @t2) @t47))) % 0.33/0.59 (assume @p314 (forall @t222 (or @t220 (tptp.hBOOL (tptp.hAPP @t87 @t366)) @t204))) % 0.33/0.59 (assume @p315 (forall @t199 (or @t64 @t179 @t110 @t311))) % 0.33/0.59 (assume @p316 (forall (@list @t1) (or (not (tptp.class_Orderings_Obot @t1)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t338) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t1))))) % 0.33/0.59 (assume @p317 (forall @t77 (or @t220 (= (tptp.hAPP @t218 @t40) @t260)))) % 0.33/0.59 (assume @p318 (forall @t69 (= (tptp.c_Collect (tptp.hAPP @t66 @t36) @t2) @t41))) % 0.33/0.59 (assume @p319 (forall @t175 (tptp.hBOOL (tptp.c_in @t47 @t225 @t2)))) % 0.33/0.59 (assume @p320 (forall (@list @t148 @t36 @t2 @t147 @t146 @t145 @t144 @t143 @t142 @t141) (or (= (tptp.hAPP @t148 @t41) @t36) @t149))) % 0.33/0.59 (assume @p321 (forall (@list @t147 @t36 @t2 @t148 @t146 @t145 @t144 @t143 @t142 @t141) (or (= (tptp.hAPP @t147 @t41) @t36) @t149))) % 0.33/0.59 (assume @p322 (forall @t69 (or @t220 (= (tptp.hAPP @t218 @t41) @t36)))) % 0.33/0.59 (assume @p323 (forall @t175 (tptp.hBOOL (tptp.hAPP @t225 @t383)))) % 0.33/0.59 (assume @p324 (forall (@list @t36 @t1 @t13 @t2) (= (tptp.c_Set_Oinsert @t36 @t356 @t2) @t41))) % 0.33/0.59 (assume @p325 (forall (@list @t5 @t47 @t2) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t5 @t225 @t2) @t47)))) % 0.33/0.59 (assume @p326 (forall @t69 (or @t64 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t41 @t2) @t36)))) % 0.33/0.59 (assume @p327 (forall @t175 (= (tptp.c_The @t225 @t2) @t47))) % 0.33/0.59 (assume @p328 (forall (@list @t148 @t36 @t108 @t2 @t144 @t147 @t146 @t145 @t143 @t142 @t141) (or (= (tptp.hAPP @t148 @t272) (tptp.hAPP @t277 @t108)) @t149))) % 0.33/0.59 (assume @p329 (forall (@list @t147 @t36 @t108 @t2 @t143 @t148 @t146 @t145 @t144 @t142 @t141) (or (= (tptp.hAPP @t147 @t272) (tptp.hAPP @t279 @t108)) @t149))) % 0.33/0.59 (assume @p330 (forall @t214 (= @t212 (tptp.c_HOL_Ominus__class_Ominus @t42 @t13 @t15)))) % 0.33/0.59 (assume @p331 (forall @t214 (= @t212 (tptp.c_HOL_Ominus__class_Ominus @t164 @t41 @t15)))) % 0.33/0.59 (assume @p332 (forall (@list @t36 @t108 @t5 @t2) (or @t112 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t5 @t41 @t2) @t108)))))) % 0.33/0.59 (assume @p333 (forall @t175 (= (tptp.c_Set_Ocontents @t225 @t2) @t47))) % 0.33/0.59 (assume @p334 (forall (@list @t79 @t47 @t2) (or (= @t79 @t383) (not (tptp.hBOOL (tptp.hAPP @t225 @t79)))))) % 0.33/0.59 (assume @p335 (forall (@list @t108 @t36 @t2) (or (= @t108 @t36) (not (tptp.hBOOL (tptp.c_in @t108 @t41 @t2)))))) % 0.33/0.59 (assume @p336 (forall (@list @t5 @t36 @t2) (= (tptp.c_Finite__Set_Ofold1 @t5 @t41 @t2) @t36))) % 0.33/0.59 (assume @p337 (forall @t69 (or @t64 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t41 @t2) @t36)))) % 0.33/0.59 (assume @p338 (forall @t74 (= @t270 @t72))) % 0.33/0.59 (assume @p339 (forall @t69 (or @t97 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t36 @t36 @t2) @t41)))) % 0.33/0.59 (assume @p340 (forall (@list @t47 @t352 @t2) (or (not (= (tptp.c_Set_Oinsert @t47 @t352 @t2) @t40)) (tptp.hBOOL (tptp.c_in @t47 @t352 @t2))))) % 0.33/0.59 (assume @p341 (forall @t74 (= @t72 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t41 @t14 @t15)))) % 0.33/0.59 (assume @p342 (forall @t69 (or @t220 (= (tptp.hAPP @t219 @t41) @t36)))) % 0.33/0.59 (assume @p343 (forall @t78 (or @t207 (not (tptp.hBOOL (tptp.hAPP @t17 @t295)))))) % 0.33/0.59 (assume @p344 (forall @t77 (tptp.hBOOL (tptp.hAPP @t384 (tptp.c_HOL_Ouminus__class_Ouminus @t40 @t15))))) % 0.33/0.59 (assume @p345 (forall (@list @t2 @t47 @t14 @t13) (or @t385 @t19 @t197))) % 0.33/0.59 (assume @p346 (forall @t283 (or @t52 @t386))) % 0.33/0.59 (assume @p347 (forall @t306 (or @t305 @t19 @t48))) % 0.33/0.59 (assume @p348 (forall @t54 (or @t18 @t48 @t307))) % 0.33/0.59 (assume @p349 (forall @t54 (or @t18 @t307 @t48))) % 0.33/0.59 (assume @p350 (forall @t393 (or @t240 (tptp.hBOOL (tptp.hAPP @t392 @t391)) (not (tptp.hBOOL (tptp.hAPP @t390 @t388))) @t387))) % 0.33/0.59 (assume @p351 (forall (@list @t169 @t150 @t134 @t151 @t394 @t389 @t395) (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t394 @t389) @t398)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t389) @t397))) @t396))) % 0.33/0.59 (assume @p352 (forall @t393 (or @t240 (tptp.hBOOL (tptp.hAPP @t392 @t400)) (not (tptp.hBOOL (tptp.hAPP @t390 @t399))) @t387))) % 0.33/0.59 (assume @p353 (forall @t241 (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t401) @t399))))) % 0.33/0.59 (assume @p354 (forall @t402 (or @t240 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t151 @t401) @t400))) @t387))) % 0.33/0.59 (assume @p355 (forall @t241 (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t403) @t388))))) % 0.33/0.59 (assume @p356 (forall @t407 (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t394 @t406) @t405)) @t404))) % 0.33/0.59 (assume @p357 (forall @t409 (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t408) @t397)) @t396))) % 0.33/0.59 (assume @p358 (forall @t413 (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t412) @t411)) @t410))) % 0.33/0.59 (assume @p359 (forall @t402 (or @t240 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t151 @t403) @t391))) @t387))) % 0.33/0.59 (assume @p360 (forall @t413 (or @t240 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t412) @t411))) @t410))) % 0.33/0.59 (assume @p361 (forall @t409 (or @t240 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t151 @t408) @t398))) @t396))) % 0.33/0.59 (assume @p362 (forall @t407 (or @t240 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t151 @t406) @t405))) @t404))) % 0.33/0.59 (assume @p363 (forall @t241 (or @t240 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t150 @t238) @t239))))) % 0.33/0.59 (assume @p364 (forall @t306 (or @t305 @t19 @t304))) % 0.33/0.59 (assume @p365 (forall (@list @t169 @t150 @t134 @t133 @t152 @t2 @t151) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t150 (tptp.c_Com_Ocom_OSemi @t134 @t133) @t152 @t2) @t416 @t414) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t151 @t133 @t152 @t2) @t416 @t414) @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t150 @t134 @t151 @t2) @t416 @t414) @t2))))) % 0.33/0.59 (assume @p366 (forall @t86 (or @t64 @t83 @t88))) % 0.33/0.59 (assume @p367 (forall (@list @t2 @t36 @t26 @t290) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Set_Oinsert @t36 @t26 @t2)) (tptp.c_Set_Oinsert @t36 @t290 @t2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t26) @t290)))))) % 0.33/0.59 (assume @p368 (forall (@list @t169 @t282 @t417 @t2) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert @t282 @t417 @t414) @t2) (not @t418) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 (tptp.c_Set_Oinsert @t282 @t416 @t414) @t2))))) % 0.33/0.59 (assume @p369 (forall (@list @t14 @t47 @t2) (or (= @t14 @t225) @t207 (not (tptp.hBOOL (tptp.hAPP @t17 @t225)))))) % 0.33/0.59 (assume @p370 (forall (@list @t169 @t417 @t2 @t419) (or @t418 (not (tptp.hBOOL (tptp.hAPP @t420 @t419))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 @t419 @t2))))) % 0.33/0.59 (assume @p371 (forall (@list @t151 @t47 @t2 @t150) (or @t422 @t421 @t264))) % 0.33/0.59 (assume @p372 (forall @t95 (or @t85 @t93))) % 0.33/0.59 (assume @p373 (forall @t95 (or @t97 @t93))) % 0.33/0.59 (assume @p374 (forall (@list @t151 @t47 @t150 @t2) (or @t422 @t264 @t421))) % 0.33/0.59 (assume @p375 (forall @t288 (or @t287 @t33 @t19))) % 0.33/0.59 (assume @p376 (forall @t132 (tptp.hBOOL (tptp.hAPP @t17 @t14)))) % 0.33/0.59 (assume @p377 (forall @t95 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t47) @t47)))) % 0.33/0.59 (assume @p378 (forall @t105 (or @t85 @t247 @t107 @t91))) % 0.33/0.59 (assume @p379 (forall @t101 (or @t97 @t244 @t99 @t84))) % 0.33/0.59 (assume @p380 (forall @t273 (tptp.hBOOL (tptp.hAPP @t196 @t47)))) % 0.33/0.59 (assume @p381 @t423) % 0.33/0.59 (assume @p382 (forall (@list @t169 @t417 @t2 @t424) (or @t418 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 @t424 @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t424 @t417 @t2))))) % 0.33/0.59 (assume @p383 (forall @t367 (not (= @t40 @t72)))) % 0.33/0.59 (assume @p384 (forall @t77 (tptp.hBOOL (tptp.hAPP @t384 @t40)))) % 0.33/0.59 (assume @p385 (forall @t78 (or @t207 (not (tptp.hBOOL (tptp.hAPP @t17 @t40)))))) % 0.33/0.59 (assume @p386 (forall @t432 (or @t431 (= @t426 @t425)))) % 0.33/0.59 (assume @p387 (forall @t432 (or @t431 (= @t429 @t427)))) % 0.33/0.59 (assume @p388 (forall @t432 (or @t431 (= @t430 @t428)))) % 0.33/0.59 (assume @p389 (forall @t436 (or @t435 @t434 @t433))) % 0.33/0.59 (assume @p390 (forall @t436 (or @t435 @t437 @t433))) % 0.33/0.59 (assume @p391 (forall @t436 (or @t435 @t434 @t438))) % 0.33/0.59 (assume @p392 (forall @t436 (or @t435 @t437 @t438))) % 0.33/0.59 (assume @p393 (forall @t92 (or @t97 @t115 @t91 @t84))) % 0.33/0.59 (assume @p394 (forall @t92 (or @t97 @t115 @t84 @t91))) % 0.33/0.59 (assume @p395 (forall @t22 (or @t21 @t193 @t19))) % 0.33/0.59 (assume @p396 (forall @t95 (not (tptp.hBOOL (tptp.hAPP @t40 @t47))))) % 0.33/0.59 (assume @p397 (forall (@list @t169 @t2) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t169 @t416 @t2))) % 0.33/0.59 (assume @p398 (forall (@list @t2 @t13 @t36) (tptp.hBOOL (tptp.hAPP @t31 @t70)))) % 0.33/0.59 (assume @p399 (forall (@list @t14 @t47 @t79 @t2) (or @t375 (= @t79 @t47) (not @t440)))) % 0.33/0.59 (assume @p400 (forall @t273 (= (tptp.c_Set_Oinsert @t47 @t196 @t2) @t196))) % 0.33/0.59 (assume @p401 (forall @t74 (not (= @t72 @t40)))) % 0.33/0.59 (assume @p402 (forall @t95 (or (not (tptp.class_Orderings_Obot @t2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t260) @t47))))) % 0.33/0.59 (assume @p403 (forall @t132 (tptp.hBOOL (tptp.hAPP @t384 @t14)))) % 0.33/0.59 (assume @p404 (forall (@list @t2 @t14 @t108 @t13) (or (tptp.hBOOL (tptp.hAPP @t17 @t275)) @t19))) % 0.33/0.59 (assume @p405 (forall @t54 (or @t18 @t386))) % 0.33/0.59 (assume @p406 (forall (@list @t47 @t79 @t14 @t2) (= (tptp.c_Set_Oinsert @t47 @t439 @t2) (tptp.c_Set_Oinsert @t79 @t196 @t2)))) % 0.33/0.59 (assume @p407 (forall (@list @t352 @t47 @t2) (= (tptp.c_Set_Oinsert @t352 @t225 @t2) (tptp.c_Set_Oinsert @t47 (tptp.c_Set_Oinsert @t352 @t40 @t2) @t2)))) % 0.33/0.59 (assume @p408 (forall (@list @t36 @t2 @t108) (or (not (= @t41 @t271)) @t112))) % 0.33/0.59 (assume @p409 (forall (@list @t79 @t14 @t2 @t47) (or @t440 @t377))) % 0.33/0.59 (assume @p410 (forall (@list @t169 @t417 @t2) (or @t418 (not (tptp.hBOOL (tptp.hAPP @t420 @t169)))))) % 0.33/0.59 (assume @p411 (forall (@list @t1 @t5 @t47 @t4 @t2) (or @t10 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t359 @t194) (tptp.hAPP @t4 @t47))) @t11))) % 0.33/0.59 (assume @p412 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals @t235) tptp.v_G) tptp.v_Ga))) % 0.33/0.59 (assume @p413 (not @t441)) % 0.33/0.59 (assume @p414 (forall @t445 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t444) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t442))))) % 0.33/0.59 (assume @p415 (forall @t445 (or (tptp.class_Lattices_Oupper__semilattice @t444) @t446))) % 0.33/0.59 (assume @p416 (forall @t445 (or (tptp.class_Lattices_Obounded__lattice @t444) (not (tptp.class_Lattices_Obounded__lattice @t442))))) % 0.33/0.59 (assume @p417 (forall @t445 (or (tptp.class_Lattices_Oboolean__algebra @t444) (not (tptp.class_Lattices_Oboolean__algebra @t442))))) % 0.33/0.59 (assume @p418 (forall @t445 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t444) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t442)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t443))))) % 0.33/0.59 (assume @p419 (forall @t445 (or (tptp.class_Orderings_Opreorder @t444) (not (tptp.class_Orderings_Opreorder @t442))))) % 0.33/0.59 (assume @p420 (forall @t445 (or (tptp.class_Lattices_Olattice @t444) @t446))) % 0.33/0.59 (assume @p421 (forall @t445 (or (tptp.class_Orderings_Oorder @t444) (not (tptp.class_Orderings_Oorder @t442))))) % 0.33/0.59 (assume @p422 (forall @t445 (or (tptp.class_Orderings_Obot @t444) (not (tptp.class_Orderings_Obot @t442))))) % 0.33/0.59 (assume @p423 (forall @t445 (or (tptp.class_HOL_Ouminus @t444) (not (tptp.class_HOL_Ouminus @t442))))) % 0.33/0.59 (assume @p424 (forall @t445 (or (tptp.class_HOL_Ominus @t444) (not (tptp.class_HOL_Ominus @t442))))) % 0.33/0.59 (assume @p425 (forall @t445 (or (tptp.class_HOL_Oord @t444) (not (tptp.class_HOL_Oord @t442))))) % 0.33/0.59 (assume @p426 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.33/0.59 (assume @p427 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.33/0.59 (assume @p428 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.33/0.59 (assume @p429 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.33/0.59 (assume @p430 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.33/0.59 (assume @p431 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.33/0.59 (assume @p432 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.33/0.59 (assume @p433 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.33/0.59 (assume @p434 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.33/0.59 (assume @p435 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.33/0.59 (assume @p436 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.33/0.59 (assume @p437 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.33/0.59 (assume @p438 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.33/0.59 (assume @p439 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.33/0.59 (assume @p440 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.33/0.59 (assume @p441 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.33/0.59 (assume @p442 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.33/0.59 (assume @p443 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 0.33/0.59 (assume @p444 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.33/0.59 (assume @p445 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.33/0.59 (assume @p446 (forall @t95 (tptp.hBOOL (tptp.hAPP @t382 @t47)))) % 0.33/0.59 (assume @p447 (forall (@list @t448 @t447 @t2) (or (= @t448 @t447) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t448) @t447)))))) % 0.33/0.59 (assume-push @p455 @t423) % 0.33/0.59 (step @p449 :rule instantiate :premises (@p381) :args ((@list tptp.v_Ga tptp.v_P tptp.t_a))) % 0.33/0.59 (step-pop @p456 :rule scope :premises (@p449)) % 0.33/0.59 (step @p450 :rule process_scope :premises (@p456) :args (@t441)) % 0.33/0.59 (step @p452 :rule implies_elim :premises (@p450)) % 0.33/0.59 (step @p453 :rule reordering :premises (@p452) :args ((or @t441 (not @t423)))) % 0.33/0.59 (step @p454 false :rule chain_m_resolution :premises (@p453 @p413 @p381) :args (false (@list true false) (@list @t441 @t423))) % 0.33/0.59 ) % 0.33/0.59 % SZS output end Proof % 0.33/0.59 % cvc5 exiting %------------------------------------------------------------------------------