%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV826-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:27 AM UTC 2026 % Result : Unsatisfiable 6.72s 6.96s % Output : Proof 6.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV826-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:15:22 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.72/6.96 % SZS status Unsatisfiable % 6.72/6.96 % SZS output start Proof % 6.72/6.98 ( % 6.72/6.98 (declare-sort $$unsorted 0) % 6.72/6.98 (declare-const tptp.v_P_H $$unsorted) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.tc_Com_Ostate $$unsorted) % 6.72/6.98 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.t_c $$unsorted) % 6.72/6.98 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.v_P $$unsorted) % 6.72/6.98 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.t_a $$unsorted) % 6.72/6.98 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_Q $$unsorted) % 6.72/6.98 (declare-const tptp.tc_bool $$unsorted) % 6.72/6.98 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_R $$unsorted) % 6.72/6.98 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Not $$unsorted) % 6.72/6.98 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.v_c $$unsorted) % 6.72/6.98 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 6.72/6.98 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_G $$unsorted) % 6.72/6.98 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.v_x $$unsorted) % 6.72/6.98 (declare-const tptp.c_Orderings_Olinorder (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.t_b $$unsorted) % 6.72/6.98 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.72/6.98 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.72/6.98 (define @t1 () (@var "V_A" $$unsorted)) % 6.72/6.98 (define @t2 () (@var "T_a" $$unsorted)) % 6.72/6.98 (define @t3 () (tptp.tc_fun @t2 tptp.tc_bool)) % 6.72/6.98 (define @t4 () (@var "V_B" $$unsorted)) % 6.72/6.98 (define @t5 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t4 @t3)) % 6.72/6.98 (define @t6 () (tptp.c_Orderings_Obot__class_Obot @t3)) % 6.72/6.98 (define @t7 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3)) % 6.72/6.98 (define @t8 () (tptp.hAPP @t7 @t1)) % 6.72/6.98 (define @t9 () (tptp.hAPP @t8 @t4)) % 6.72/6.98 (define @t10 () (not (= @t9 @t6))) % 6.72/6.98 (define @t11 () (@list @t2 @t1 @t4)) % 6.72/6.98 (define @t12 () (@var "V_g" $$unsorted)) % 6.72/6.98 (define @t13 () (tptp.hAPP @t12 tptp.v_x)) % 6.72/6.98 (define @t14 () (@var "V_f" $$unsorted)) % 6.72/6.98 (define @t15 () (tptp.hAPP @t14 tptp.v_x)) % 6.72/6.98 (define @t16 () (@var "T_b" $$unsorted)) % 6.72/6.98 (define @t17 () (tptp.tc_fun tptp.t_a @t16)) % 6.72/6.98 (define @t18 () (not (tptp.class_Lattices_Olattice @t16))) % 6.72/6.98 (define @t19 () (@list @t16 @t14 @t12)) % 6.72/6.98 (define @t20 () (@var "T_c" $$unsorted)) % 6.72/6.98 (define @t21 () (@var "V_C" $$unsorted)) % 6.72/6.98 (define @t22 () (tptp.hAPP @t7 @t21)) % 6.72/6.98 (define @t23 () (tptp.hAPP @t22 @t1)) % 6.72/6.98 (define @t24 () (tptp.hAPP @t7 @t4)) % 6.72/6.98 (define @t25 () (tptp.hAPP @t24 @t1)) % 6.72/6.98 (define @t26 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3)) % 6.72/6.98 (define @t27 () (tptp.hAPP @t26 @t4)) % 6.72/6.98 (define @t28 () (tptp.hAPP @t27 @t21)) % 6.72/6.98 (define @t29 () (@list @t2 @t4 @t21 @t1)) % 6.72/6.98 (define @t30 () (tptp.hAPP @t8 @t21)) % 6.72/6.98 (define @t31 () (tptp.hAPP @t26 @t9)) % 6.72/6.98 (define @t32 () (tptp.hAPP @t8 @t28)) % 6.72/6.98 (define @t33 () (@list @t2 @t1 @t4 @t21)) % 6.72/6.98 (define @t34 () (@var "V_z" $$unsorted)) % 6.72/6.98 (define @t35 () (@var "V_x" $$unsorted)) % 6.72/6.98 (define @t36 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2)) % 6.72/6.98 (define @t37 () (tptp.hAPP @t36 @t35)) % 6.72/6.98 (define @t38 () (tptp.hAPP @t37 @t34)) % 6.72/6.98 (define @t39 () (@var "V_y" $$unsorted)) % 6.72/6.98 (define @t40 () (tptp.hAPP @t37 @t39)) % 6.72/6.98 (define @t41 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2)) % 6.72/6.98 (define @t42 () (tptp.hAPP (tptp.hAPP @t41 @t40) @t38)) % 6.72/6.98 (define @t43 () (tptp.hAPP @t41 @t39)) % 6.72/6.98 (define @t44 () (tptp.hAPP @t43 @t34)) % 6.72/6.98 (define @t45 () (tptp.hAPP @t37 @t44)) % 6.72/6.98 (define @t46 () (not (tptp.class_Lattices_Odistrib__lattice @t2))) % 6.72/6.98 (define @t47 () (@list @t2 @t35 @t39 @t34)) % 6.72/6.98 (define @t48 () (tptp.hAPP @t36 @t39)) % 6.72/6.98 (define @t49 () (tptp.hAPP @t48 @t35)) % 6.72/6.98 (define @t50 () (@list @t2 @t39 @t34 @t35)) % 6.72/6.98 (define @t51 () (@var "V_P" $$unsorted)) % 6.72/6.98 (define @t52 () (tptp.c_Collect @t51 @t2)) % 6.72/6.98 (define @t53 () (tptp.hBOOL (tptp.c_in @t35 (tptp.hAPP @t8 @t52) @t2))) % 6.72/6.98 (define @t54 () (not @t53)) % 6.72/6.98 (define @t55 () (tptp.hBOOL (tptp.hAPP @t51 @t35))) % 6.72/6.98 (define @t56 () (tptp.hAPP @t26 @t1)) % 6.72/6.98 (define @t57 () (@list @t2 @t1)) % 6.72/6.98 (define @t58 () (tptp.hAPP @t41 @t35)) % 6.72/6.98 (define @t59 () (not (tptp.class_Lattices_Oupper__semilattice @t2))) % 6.72/6.98 (define @t60 () (@list @t2 @t35)) % 6.72/6.98 (define @t61 () (tptp.c_Fun_Oinj__on @t14 @t1 @t2 @t16)) % 6.72/6.98 (define @t62 () (not @t61)) % 6.72/6.98 (define @t63 () (@var "V_a" $$unsorted)) % 6.72/6.98 (define @t64 () (tptp.c_Set_Oinsert @t2)) % 6.72/6.98 (define @t65 () (tptp.hAPP @t64 @t63)) % 6.72/6.98 (define @t66 () (tptp.hAPP @t65 @t6)) % 6.72/6.98 (define @t67 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t66 @t3)) % 6.72/6.98 (define @t68 () (tptp.hAPP @t14 @t63)) % 6.72/6.98 (define @t69 () (tptp.hBOOL (tptp.c_in @t68 (tptp.c_Set_Oimage @t14 @t67 @t2 @t16) @t16))) % 6.72/6.98 (define @t70 () (tptp.hAPP @t65 @t1)) % 6.72/6.98 (define @t71 () (tptp.c_Fun_Oinj__on @t14 @t70 @t2 @t16)) % 6.72/6.98 (define @t72 () (tptp.tc_fun @t16 tptp.tc_bool)) % 6.72/6.98 (define @t73 () (tptp.c_Orderings_Obot__class_Obot @t72)) % 6.72/6.98 (define @t74 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t73 @t4 @t16 @t3)) % 6.72/6.98 (define @t75 () (@var "V_S" $$unsorted)) % 6.72/6.98 (define @t76 () (tptp.hBOOL (tptp.hAPP @t75 @t35))) % 6.72/6.98 (define @t77 () (tptp.hBOOL (tptp.c_in @t35 @t75 @t2))) % 6.72/6.98 (define @t78 () (@var "V_R" $$unsorted)) % 6.72/6.98 (define @t79 () (@var "V_Q" $$unsorted)) % 6.72/6.98 (define @t80 () (tptp.hAPP @t79 @t78)) % 6.72/6.98 (define @t81 () (tptp.hAPP @t51 @t78)) % 6.72/6.98 (define @t82 () (@list @t51 @t79 @t78 @t16 @t20 @t2)) % 6.72/6.98 (define @t83 () (tptp.c_COMBI @t2)) % 6.72/6.98 (define @t84 () (tptp.hAPP @t56 @t4)) % 6.72/6.98 (define @t85 () (tptp.c_Fun_Oinj__on @t14 @t84 @t2 @t16)) % 6.72/6.98 (define @t86 () (tptp.c_Fun_Oinj__on @t14 @t4 @t2 @t16)) % 6.72/6.98 (define @t87 () (not @t86)) % 6.72/6.98 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t1 @t3)) % 6.72/6.98 (define @t89 () (tptp.c_Set_Oimage @t14 @t5 @t2 @t16)) % 6.72/6.98 (define @t90 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t72)) % 6.72/6.98 (define @t91 () (= (tptp.hAPP (tptp.hAPP @t90 @t89) (tptp.c_Set_Oimage @t14 @t88 @t2 @t16)) @t73)) % 6.72/6.98 (define @t92 () (@list @t16 @t14 @t1 @t4 @t2)) % 6.72/6.98 (define @t93 () (not @t85)) % 6.72/6.98 (define @t94 () (@list @t1 @t4 @t2)) % 6.72/6.98 (define @t95 () (@var "V_xa" $$unsorted)) % 6.72/6.98 (define @t96 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t35 @t2)) % 6.72/6.98 (define @t97 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 6.72/6.98 (define @t98 () (@var "V_y_H" $$unsorted)) % 6.72/6.98 (define @t99 () (@var "V_x_H" $$unsorted)) % 6.72/6.98 (define @t100 () (tptp.c_HOL_Ominus__class_Ominus @t99 @t98 @t2)) % 6.72/6.98 (define @t101 () (@var "V_N" $$unsorted)) % 6.72/6.98 (define @t102 () (@var "V_M" $$unsorted)) % 6.72/6.98 (define @t103 () (not (tptp.c_lessequals @t102 @t101 @t3))) % 6.72/6.98 (define @t104 () (= @t102 @t6)) % 6.72/6.98 (define @t105 () (not (tptp.c_Finite__Set_Ofinite @t101 @t2))) % 6.72/6.98 (define @t106 () (not (tptp.class_Orderings_Olinorder @t2))) % 6.72/6.98 (define @t107 () (@var "V_less" $$unsorted)) % 6.72/6.98 (define @t108 () (@var "V_less__eq" $$unsorted)) % 6.72/6.98 (define @t109 () (not (tptp.c_Orderings_Olinorder @t108 @t107 @t2))) % 6.72/6.98 (define @t110 () (tptp.hAPP @t107 @t35)) % 6.72/6.98 (define @t111 () (tptp.hBOOL (tptp.hAPP @t110 @t35))) % 6.72/6.98 (define @t112 () (not @t111)) % 6.72/6.98 (define @t113 () (@list @t107 @t35 @t108 @t2)) % 6.72/6.98 (define @t114 () (tptp.c_lessequals @t35 @t39 @t2)) % 6.72/6.98 (define @t115 () (not @t114)) % 6.72/6.98 (define @t116 () (tptp.c_SetInterval_Oord__class_OlessThan @t39 @t2)) % 6.72/6.98 (define @t117 () (tptp.c_SetInterval_Oord__class_OlessThan @t35 @t2)) % 6.72/6.98 (define @t118 () (tptp.c_lessequals @t117 @t116 @t3)) % 6.72/6.98 (define @t119 () (@list @t2 @t35 @t39)) % 6.72/6.98 (define @t120 () (tptp.c_Set_Oimage @t14 @t4 @t16 @t2)) % 6.72/6.98 (define @t121 () (tptp.c_Set_Oimage @t14 @t1 @t16 @t2)) % 6.72/6.98 (define @t122 () (tptp.hAPP @t56 @t21)) % 6.72/6.98 (define @t123 () (tptp.hAPP @t56 @t28)) % 6.72/6.98 (define @t124 () (tptp.hAPP @t58 @t44)) % 6.72/6.98 (define @t125 () (tptp.hAPP @t58 @t39)) % 6.72/6.98 (define @t126 () (= (tptp.hAPP (tptp.hAPP @t41 @t125) @t34) @t124)) % 6.72/6.98 (define @t127 () (tptp.hAPP @t58 @t34)) % 6.72/6.98 (define @t128 () (= @t124 (tptp.hAPP @t43 @t127))) % 6.72/6.98 (define @t129 () (not (tptp.class_Lattices_Olattice @t2))) % 6.72/6.98 (define @t130 () (@var "V_c" $$unsorted)) % 6.72/6.98 (define @t131 () (tptp.hBOOL (tptp.c_in @t130 @t9 @t2))) % 6.72/6.98 (define @t132 () (not @t131)) % 6.72/6.98 (define @t133 () (tptp.hBOOL (tptp.c_in @t130 @t4 @t2))) % 6.72/6.98 (define @t134 () (@list @t130 @t4 @t2 @t1)) % 6.72/6.98 (define @t135 () (tptp.hBOOL (tptp.c_in @t130 @t1 @t2))) % 6.72/6.98 (define @t136 () (@list @t130 @t1 @t2 @t4)) % 6.72/6.98 (define @t137 () (= @t35 @t39)) % 6.72/6.98 (define @t138 () (tptp.hBOOL (tptp.c_in @t35 @t1 @t2))) % 6.72/6.98 (define @t139 () (not @t138)) % 6.72/6.98 (define @t140 () (not (tptp.hBOOL (tptp.c_in @t39 @t1 @t2)))) % 6.72/6.98 (define @t141 () (tptp.hAPP @t14 @t35)) % 6.72/6.98 (define @t142 () (not (= @t141 (tptp.hAPP @t14 @t39)))) % 6.72/6.98 (define @t143 () (@list @t14 @t35 @t39 @t1 @t2 @t16)) % 6.72/6.98 (define @t144 () (not (tptp.hBOOL (tptp.c_in @t95 @t1 @t2)))) % 6.72/6.98 (define @t145 () (tptp.c_lessequals @t1 @t4 @t3)) % 6.72/6.98 (define @t146 () (not @t145)) % 6.72/6.98 (define @t147 () (not (tptp.c_lessequals @t4 @t1 @t3))) % 6.72/6.98 (define @t148 () (= @t40 @t35)) % 6.72/6.98 (define @t149 () (not (tptp.class_Lattices_Olower__semilattice @t2))) % 6.72/6.98 (define @t150 () (tptp.c_lessequals @t39 @t35 @t2)) % 6.72/6.98 (define @t151 () (not @t150)) % 6.72/6.98 (define @t152 () (tptp.c_lessequals @t1 @t21 @t3)) % 6.72/6.98 (define @t153 () (not @t152)) % 6.72/6.98 (define @t154 () (tptp.c_lessequals @t4 @t21 @t3)) % 6.72/6.98 (define @t155 () (not @t154)) % 6.72/6.98 (define @t156 () (tptp.c_lessequals @t84 @t21 @t3)) % 6.72/6.98 (define @t157 () (@list @t1 @t2 @t4)) % 6.72/6.98 (define @t158 () (tptp.c_lessequals @t63 @t35 @t2)) % 6.72/6.98 (define @t159 () (not @t158)) % 6.72/6.98 (define @t160 () (@var "V_b" $$unsorted)) % 6.72/6.98 (define @t161 () (tptp.c_lessequals @t160 @t35 @t2)) % 6.72/6.98 (define @t162 () (not @t161)) % 6.72/6.98 (define @t163 () (tptp.hAPP @t41 @t63)) % 6.72/6.98 (define @t164 () (tptp.hAPP @t163 @t160)) % 6.72/6.98 (define @t165 () (tptp.c_lessequals @t164 @t35 @t2)) % 6.72/6.98 (define @t166 () (@list @t2 @t63 @t160 @t35)) % 6.72/6.98 (define @t167 () (tptp.c_lessequals @t35 @t125 @t2)) % 6.72/6.98 (define @t168 () (tptp.c_lessequals @t39 @t125 @t2)) % 6.72/6.98 (define @t169 () (@list @t2 @t39 @t35)) % 6.72/6.98 (define @t170 () (tptp.c_lessequals @t34 @t35 @t2)) % 6.72/6.98 (define @t171 () (tptp.c_lessequals @t35 @t34 @t2)) % 6.72/6.98 (define @t172 () (not @t171)) % 6.72/6.98 (define @t173 () (tptp.c_lessequals @t39 @t34 @t2)) % 6.72/6.98 (define @t174 () (not @t173)) % 6.72/6.98 (define @t175 () (tptp.c_lessequals @t125 @t34 @t2)) % 6.72/6.98 (define @t176 () (= @t40 @t49)) % 6.72/6.98 (define @t177 () (tptp.hAPP @t56 @t88)) % 6.72/6.98 (define @t178 () (@var "V_com2_H" $$unsorted)) % 6.72/6.98 (define @t179 () (@var "V_com1_H" $$unsorted)) % 6.72/6.98 (define @t180 () (@var "V_fun_H" $$unsorted)) % 6.72/6.98 (define @t181 () (tptp.c_Com_Ocom_OCond @t180 @t179 @t178)) % 6.72/6.98 (define @t182 () (@list @t180 @t179 @t178)) % 6.72/6.98 (define @t183 () (tptp.hAPP @t26 @t21)) % 6.72/6.98 (define @t184 () (tptp.hAPP @t183 @t1)) % 6.72/6.98 (define @t185 () (tptp.hAPP @t7 @t84)) % 6.72/6.98 (define @t186 () (tptp.hAPP @t24 @t21)) % 6.72/6.98 (define @t187 () (tptp.c_COMBK @t130 @t2 @t16)) % 6.72/6.98 (define @t188 () (tptp.hBOOL (tptp.hAPP @t51 @t63))) % 6.72/6.98 (define @t189 () (tptp.hBOOL (tptp.c_in @t63 @t52 @t2))) % 6.72/6.98 (define @t190 () (tptp.c_Set_Oinsert @t16)) % 6.72/6.98 (define @t191 () (not (tptp.hBOOL (tptp.c_in @t35 @t1 @t16)))) % 6.72/6.98 (define @t192 () (tptp.c_Finite__Set_Ofinite @t1 @t2)) % 6.72/6.98 (define @t193 () (not @t192)) % 6.72/6.98 (define @t194 () (tptp.c_Set_Oimage @t14 @t1 @t2 @t16)) % 6.72/6.98 (define @t195 () (not (tptp.c_Fun_Oinj__on @t14 @t21 @t2 @t16))) % 6.72/6.98 (define @t196 () (tptp.c_Set_Oimage @t14 @t4 @t2 @t16)) % 6.72/6.98 (define @t197 () (tptp.hAPP @t64 @t35)) % 6.72/6.98 (define @t198 () (tptp.hAPP @t197 @t4)) % 6.72/6.98 (define @t199 () (tptp.c_lessequals @t1 @t198 @t3)) % 6.72/6.98 (define @t200 () (not @t199)) % 6.72/6.98 (define @t201 () (tptp.hAPP @t197 @t6)) % 6.72/6.98 (define @t202 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t1 @t201 @t3) @t4 @t3)) % 6.72/6.98 (define @t203 () (@list @t1 @t2 @t35 @t4)) % 6.72/6.98 (define @t204 () (not @t202)) % 6.72/6.98 (define @t205 () (@list @t14 @t1 @t2)) % 6.72/6.98 (define @t206 () (@var "V_i" $$unsorted)) % 6.72/6.98 (define @t207 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t16))) % 6.72/6.98 (define @t208 () (tptp.hBOOL (tptp.c_in @t63 @t1 @t2))) % 6.72/6.98 (define @t209 () (not @t208)) % 6.72/6.98 (define @t210 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1 @t4 @t2 @t72)) % 6.72/6.98 (define @t211 () (tptp.hAPP @t4 @t63)) % 6.72/6.98 (define @t212 () (tptp.hBOOL (tptp.c_in @t35 @t4 @t2))) % 6.72/6.98 (define @t213 () (not @t212)) % 6.72/6.98 (define @t214 () (tptp.hAPP @t197 @t1)) % 6.72/6.98 (define @t215 () (tptp.c_HOL_Ominus__class_Ominus @t214 @t4 @t3)) % 6.72/6.98 (define @t216 () (@list @t2 @t35 @t1 @t4)) % 6.72/6.98 (define @t217 () (@var "V_Y" $$unsorted)) % 6.72/6.98 (define @t218 () (@var "V_com_H" $$unsorted)) % 6.72/6.98 (define @t219 () (tptp.c_Com_Ocom_OWhile @t180 @t218)) % 6.72/6.98 (define @t220 () (@list @t180 @t218)) % 6.72/6.98 (define @t221 () (= @t1 @t6)) % 6.72/6.98 (define @t222 () (tptp.c_Finite__Set_Ofold1 @t36 @t1 @t2)) % 6.72/6.98 (define @t223 () (tptp.c_Finite__Set_Ofinite @t5 @t2)) % 6.72/6.98 (define @t224 () (tptp.c_Complete__Lattice_OInf__class_OInf @t1 @t2)) % 6.72/6.98 (define @t225 () (tptp.hAPP @t36 @t63)) % 6.72/6.98 (define @t226 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t2))) % 6.72/6.98 (define @t227 () (@list @t2 @t63 @t1)) % 6.72/6.98 (define @t228 () (@list @t2)) % 6.72/6.98 (define @t229 () (@var "V_com2" $$unsorted)) % 6.72/6.98 (define @t230 () (= @t229 @t178)) % 6.72/6.98 (define @t231 () (tptp.c_Com_Ocom_OSemi @t179 @t178)) % 6.72/6.98 (define @t232 () (@var "V_com1" $$unsorted)) % 6.72/6.98 (define @t233 () (tptp.c_Com_Ocom_OSemi @t232 @t229)) % 6.72/6.98 (define @t234 () (not (= @t233 @t231))) % 6.72/6.98 (define @t235 () (@list @t232 @t229 @t179 @t178)) % 6.72/6.98 (define @t236 () (= @t232 @t179)) % 6.72/6.98 (define @t237 () (tptp.c_Complete__Lattice_OSup__class_OSup @t1 @t2)) % 6.72/6.98 (define @t238 () (not (tptp.c_Finite__Set_Ofinite @t4 @t2))) % 6.72/6.98 (define @t239 () (not @t223)) % 6.72/6.98 (define @t240 () (tptp.hAPP @t4 @t35)) % 6.72/6.98 (define @t241 () (= @t240 @t6)) % 6.72/6.98 (define @t242 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1 @t4 @t16 @t3)) % 6.72/6.98 (define @t243 () (@var "V_fun" $$unsorted)) % 6.72/6.98 (define @t244 () (tptp.c_Com_Ocom_OCond @t243 @t232 @t229)) % 6.72/6.98 (define @t245 () (tptp.hBOOL (tptp.c_in @t130 @t5 @t2))) % 6.72/6.98 (define @t246 () (not @t245)) % 6.72/6.98 (define @t247 () (= @t1 @t4)) % 6.72/6.98 (define @t248 () (@list @t14 @t1 @t2 @t16 @t4)) % 6.72/6.98 (define @t249 () (not @t133)) % 6.72/6.98 (define @t250 () (@var "V_I" $$unsorted)) % 6.72/6.98 (define @t251 () (tptp.hAPP @t1 @t35)) % 6.72/6.98 (define @t252 () (@var "V_k" $$unsorted)) % 6.72/6.98 (define @t253 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t250 @t1 @t2 @t72)) % 6.72/6.98 (define @t254 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72)) % 6.72/6.98 (define @t255 () (not (= @t244 @t181))) % 6.72/6.98 (define @t256 () (@list @t243 @t232 @t229 @t180 @t179 @t178)) % 6.72/6.98 (define @t257 () (= @t243 @t180)) % 6.72/6.98 (define @t258 () (@list @t14 @t16 @t1 @t4 @t2)) % 6.72/6.98 (define @t259 () (@var "V_F" $$unsorted)) % 6.72/6.98 (define @t260 () (tptp.c_Finite__Set_Ofinite @t259 @t2)) % 6.72/6.98 (define @t261 () (not @t260)) % 6.72/6.98 (define @t262 () (@var "V_G" $$unsorted)) % 6.72/6.98 (define @t263 () (tptp.c_Finite__Set_Ofinite @t262 @t2)) % 6.72/6.98 (define @t264 () (not @t263)) % 6.72/6.98 (define @t265 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t26 @t259) @t262) @t2)) % 6.72/6.98 (define @t266 () (@list @t2 @t259 @t262)) % 6.72/6.98 (define @t267 () (tptp.c_lessequals @t130 @t63 @t2)) % 6.72/6.98 (define @t268 () (@var "V_d" $$unsorted)) % 6.72/6.98 (define @t269 () (tptp.c_lessequals @t160 @t268 @t2)) % 6.72/6.98 (define @t270 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t63 @t160 @t2)) % 6.72/6.98 (define @t271 () (tptp.c_lessequals @t270 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t130 @t268 @t2) @t3)) % 6.72/6.98 (define @t272 () (not (tptp.class_Orderings_Oorder @t2))) % 6.72/6.98 (define @t273 () (@list @t2 @t63 @t160 @t130 @t268)) % 6.72/6.98 (define @t274 () (not @t271)) % 6.72/6.98 (define @t275 () (tptp.c_lessequals @t63 @t160 @t2)) % 6.72/6.98 (define @t276 () (not @t275)) % 6.72/6.98 (define @t277 () (tptp.c_lessequals @t21 @t1 @t3)) % 6.72/6.98 (define @t278 () (= (tptp.hAPP @t31 @t21) @t32)) % 6.72/6.98 (define @t279 () (not @t277)) % 6.72/6.98 (define @t280 () (tptp.hAPP @t12 @t35)) % 6.72/6.98 (define @t281 () (tptp.hAPP @t14 @t280)) % 6.72/6.98 (define @t282 () (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t12 @t16 @t2 @t20) @t35)) % 6.72/6.98 (define @t283 () (@var "V_v" $$unsorted)) % 6.72/6.98 (define @t284 () (tptp.c_Fun_Ocomp @t63 @t160 @t20 @t16 @t2)) % 6.72/6.98 (define @t285 () (tptp.hAPP @t63 (tptp.hAPP @t160 @t283))) % 6.72/6.98 (define @t286 () (tptp.hBOOL (tptp.hAPP @t84 @t35))) % 6.72/6.98 (define @t287 () (tptp.hBOOL @t251)) % 6.72/6.98 (define @t288 () (tptp.hBOOL @t240)) % 6.72/6.98 (define @t289 () (not @t288)) % 6.72/6.98 (define @t290 () (@list @t2 @t1 @t4 @t35)) % 6.72/6.98 (define @t291 () (not @t287)) % 6.72/6.98 (define @t292 () (tptp.c_Set_Oimage @t14 @t1 @t2 @t2)) % 6.72/6.98 (define @t293 () (tptp.c_Fun_Oinj__on @t14 @t1 @t2 @t2)) % 6.72/6.98 (define @t294 () (tptp.hBOOL (tptp.c_in @t130 @t84 @t2))) % 6.72/6.98 (define @t295 () (tptp.hAPP @t48 @t34)) % 6.72/6.98 (define @t296 () (tptp.hAPP @t37 @t295)) % 6.72/6.98 (define @t297 () (= (tptp.hAPP (tptp.hAPP @t36 @t40) @t34) @t296)) % 6.72/6.98 (define @t298 () (= @t296 (tptp.hAPP @t48 @t38))) % 6.72/6.98 (define @t299 () (tptp.hAPP @t8 @t186)) % 6.72/6.98 (define @t300 () (not @t265)) % 6.72/6.98 (define @t301 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t186 @t3)) % 6.72/6.98 (define @t302 () (tptp.hAPP @t7 @t5)) % 6.72/6.98 (define @t303 () (@var "V_D" $$unsorted)) % 6.72/6.98 (define @t304 () (@list @t35 @t4 @t2 @t1)) % 6.72/6.98 (define @t305 () (tptp.hAPP (tptp.hAPP @t36 @t125) @t127)) % 6.72/6.98 (define @t306 () (tptp.hAPP @t58 @t295)) % 6.72/6.98 (define @t307 () (tptp.hAPP @t26 @t5)) % 6.72/6.98 (define @t308 () (= @t125 @t39)) % 6.72/6.98 (define @t309 () (= @t84 @t4)) % 6.72/6.98 (define @t310 () (@var "V_h" $$unsorted)) % 6.72/6.98 (define @t311 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 6.72/6.98 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t107 @t39) @t35))) % 6.72/6.98 (define @t313 () (not @t312)) % 6.72/6.98 (define @t314 () (tptp.hBOOL (tptp.hAPP @t110 @t39))) % 6.72/6.98 (define @t315 () (not @t314)) % 6.72/6.98 (define @t316 () (@list @t107 @t35 @t39 @t108 @t2)) % 6.72/6.98 (define @t317 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t39) @t35))) % 6.72/6.98 (define @t318 () (@list @t108 @t39 @t35 @t107 @t2)) % 6.72/6.98 (define @t319 () (tptp.hAPP @t108 @t35)) % 6.72/6.98 (define @t320 () (tptp.hBOOL (tptp.hAPP @t319 @t39))) % 6.72/6.98 (define @t321 () (@list @t107 @t39 @t35 @t108 @t2)) % 6.72/6.98 (define @t322 () (not @t320)) % 6.72/6.98 (define @t323 () (tptp.hBOOL (tptp.hAPP @t319 @t35))) % 6.72/6.98 (define @t324 () (not @t135)) % 6.72/6.98 (define @t325 () (tptp.c_lessequals @t214 @t4 @t3)) % 6.72/6.98 (define @t326 () (not @t325)) % 6.72/6.98 (define @t327 () (@list @t1 @t4 @t2 @t35)) % 6.72/6.98 (define @t328 () (tptp.hAPP @t65 @t4)) % 6.72/6.98 (define @t329 () (tptp.hAPP @t8 @t328)) % 6.72/6.98 (define @t330 () (@list @t2 @t1 @t63 @t4)) % 6.72/6.98 (define @t331 () (tptp.hBOOL (tptp.c_in @t63 @t21 @t2))) % 6.72/6.98 (define @t332 () (tptp.hAPP (tptp.hAPP @t7 @t328) @t21)) % 6.72/6.98 (define @t333 () (@list @t2 @t63 @t4 @t21)) % 6.72/6.98 (define @t334 () (tptp.hAPP @t27 @t1)) % 6.72/6.98 (define @t335 () (tptp.c_lessequals @t21 @t9 @t3)) % 6.72/6.98 (define @t336 () (not @t335)) % 6.72/6.98 (define @t337 () (tptp.c_lessequals @t21 @t4 @t3)) % 6.72/6.98 (define @t338 () (tptp.hAPP @t225 @t160)) % 6.72/6.98 (define @t339 () (tptp.c_lessequals @t35 @t338 @t2)) % 6.72/6.98 (define @t340 () (not @t339)) % 6.72/6.98 (define @t341 () (tptp.c_lessequals @t35 @t63 @t2)) % 6.72/6.98 (define @t342 () (@list @t2 @t35 @t63 @t160)) % 6.72/6.98 (define @t343 () (tptp.c_lessequals @t35 @t160 @t2)) % 6.72/6.98 (define @t344 () (tptp.c_lessequals @t338 @t35 @t2)) % 6.72/6.98 (define @t345 () (tptp.c_lessequals @t35 @t295 @t2)) % 6.72/6.98 (define @t346 () (not @t345)) % 6.72/6.98 (define @t347 () (@list @t2 @t35 @t34 @t39)) % 6.72/6.98 (define @t348 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t21 @t3)) % 6.72/6.98 (define @t349 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t21 @t3)) % 6.72/6.98 (define @t350 () (@var "V_top" $$unsorted)) % 6.72/6.98 (define @t351 () (@var "V_bot" $$unsorted)) % 6.72/6.98 (define @t352 () (@var "V_sup" $$unsorted)) % 6.72/6.98 (define @t353 () (@var "V_inf" $$unsorted)) % 6.72/6.98 (define @t354 () (@var "V_Sup" $$unsorted)) % 6.72/6.98 (define @t355 () (@var "V_Inf" $$unsorted)) % 6.72/6.98 (define @t356 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t355 @t354 @t108 @t107 @t353 @t352 @t351 @t350 @t2))) % 6.72/6.98 (define @t357 () (tptp.hAPP @t355 @t1)) % 6.72/6.98 (define @t358 () (tptp.hAPP @t354 @t1)) % 6.72/6.98 (define @t359 () (tptp.hAPP @t43 @t35)) % 6.72/6.98 (define @t360 () (= @t125 @t359)) % 6.72/6.98 (define @t361 () (@var "V_com" $$unsorted)) % 6.72/6.98 (define @t362 () (not (= (tptp.c_Com_Ocom_OWhile @t243 @t361) @t219))) % 6.72/6.98 (define @t363 () (@list @t243 @t361 @t180 @t218)) % 6.72/6.98 (define @t364 () (= @t361 @t218)) % 6.72/6.98 (define @t365 () (= (tptp.hAPP @t58 @t125) @t125)) % 6.72/6.98 (define @t366 () (tptp.hBOOL (tptp.hAPP @t210 @t160))) % 6.72/6.98 (define @t367 () (not @t71)) % 6.72/6.98 (define @t368 () (@list @t35 @t39 @t107 @t108 @t2)) % 6.72/6.98 (define @t369 () (tptp.hBOOL (tptp.hAPP @t9 @t35))) % 6.72/6.98 (define @t370 () (not @t369)) % 6.72/6.98 (define @t371 () (@var "T_aa" $$unsorted)) % 6.72/6.98 (define @t372 () (tptp.hBOOL (tptp.c_in @t141 @t121 @t2))) % 6.72/6.98 (define @t373 () (@list @t35 @t1 @t16 @t14 @t2)) % 6.72/6.98 (define @t374 () (tptp.c_lessequals @t1 @t28 @t3)) % 6.72/6.98 (define @t375 () (tptp.c_lessequals @t5 @t21 @t3)) % 6.72/6.98 (define @t376 () (@list @t1 @t2 @t4 @t21)) % 6.72/6.98 (define @t377 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t7 @t259) @t262) @t2)) % 6.72/6.98 (define @t378 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 6.72/6.98 (define @t379 () (not (tptp.class_Lattices_Obounded__lattice @t2))) % 6.72/6.98 (define @t380 () (not (= (tptp.hAPP (tptp.hAPP @t41 @t1) @t4) @t378))) % 6.72/6.98 (define @t381 () (tptp.hAPP @t26 @t6)) % 6.72/6.98 (define @t382 () (= @t1 @t73)) % 6.72/6.98 (define @t383 () (not @t55)) % 6.72/6.98 (define @t384 () (not (tptp.hBOOL (tptp.c_in @t35 @t6 @t2)))) % 6.72/6.98 (define @t385 () (@list @t35 @t2)) % 6.72/6.98 (define @t386 () (@list @t51 @t35 @t2)) % 6.72/6.98 (define @t387 () (@list @t63 @t2)) % 6.72/6.98 (define @t388 () (@list @t1 @t2)) % 6.72/6.98 (define @t389 () (@list @t14 @t2 @t35)) % 6.72/6.98 (define @t390 () (@list @t2 @t4)) % 6.72/6.98 (define @t391 () (tptp.c_Set_Oimage @t14 @t73 @t16 @t2)) % 6.72/6.98 (define @t392 () (not (= @t84 @t6))) % 6.72/6.98 (define @t393 () (tptp.hAPP @t65 @t67)) % 6.72/6.98 (define @t394 () (tptp.hAPP @t64 @t130)) % 6.72/6.98 (define @t395 () (tptp.hAPP @t190 @t63)) % 6.72/6.98 (define @t396 () (@list @t2 @t1 @t35)) % 6.72/6.98 (define @t397 () (= @t6 @t270)) % 6.72/6.98 (define @t398 () (@list @t2 @t63 @t160)) % 6.72/6.98 (define @t399 () (tptp.hAPP @t65 @t9)) % 6.72/6.98 (define @t400 () (not (tptp.c_lessequals @t4 @t303 @t3))) % 6.72/6.98 (define @t401 () (@list @t2 @t1 @t4 @t21 @t303)) % 6.72/6.98 (define @t402 () (tptp.c_lessequals @t40 @t35 @t2)) % 6.72/6.98 (define @t403 () (tptp.c_lessequals @t40 @t39 @t2)) % 6.72/6.98 (define @t404 () (not @t341)) % 6.72/6.98 (define @t405 () (not @t343)) % 6.72/6.98 (define @t406 () (@var "T_d" $$unsorted)) % 6.72/6.98 (define @t407 () (@list @t179 @t178)) % 6.72/6.98 (define @t408 () (= (tptp.hAPP @t37 @t40) @t40)) % 6.72/6.98 (define @t409 () (not (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t2 @t16))) % 6.72/6.98 (define @t410 () (tptp.hAPP @t141 @t34)) % 6.72/6.98 (define @t411 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t328 @t3)) % 6.72/6.98 (define @t412 () (tptp.c_Finite__Set_Ofinite @t411 @t2)) % 6.72/6.98 (define @t413 () (@list @t1 @t2 @t63 @t4)) % 6.72/6.98 (define @t414 () (@var "V_r" $$unsorted)) % 6.72/6.98 (define @t415 () (@list @t130 @t2 @t1 @t4)) % 6.72/6.98 (define @t416 () (not @t175)) % 6.72/6.98 (define @t417 () (tptp.c_lessequals @t35 @t164 @t2)) % 6.72/6.98 (define @t418 () (not @t165)) % 6.72/6.98 (define @t419 () (not @t156)) % 6.72/6.98 (define @t420 () (@list @t1 @t21 @t2 @t4)) % 6.72/6.98 (define @t421 () (tptp.c_Finite__Set_Olinorder__class_OMax @t1 @t2)) % 6.72/6.98 (define @t422 () (not (tptp.class_Orderings_Opreorder @t2))) % 6.72/6.98 (define @t423 () (@var "V_t" $$unsorted)) % 6.72/6.98 (define @t424 () (not (tptp.c_lessequals @t51 @t79 @t3))) % 6.72/6.98 (define @t425 () (tptp.hBOOL (tptp.hAPP @t79 @t35))) % 6.72/6.98 (define @t426 () (@list @t79 @t35 @t51 @t2)) % 6.72/6.98 (define @t427 () (tptp.c_lessequals @t35 @t35 @t2)) % 6.72/6.98 (define @t428 () (= @t270 @t6)) % 6.72/6.98 (define @t429 () (tptp.c_Finite__Set_Olinorder__class_OMin @t1 @t2)) % 6.72/6.98 (define @t430 () (@var "T_e" $$unsorted)) % 6.72/6.98 (define @t431 () (@var "V_g_H" $$unsorted)) % 6.72/6.98 (define @t432 () (@var "V_f_H" $$unsorted)) % 6.72/6.98 (define @t433 () (tptp.hAPP (tptp.hAPP @t254 @t1) @t4)) % 6.72/6.98 (define @t434 () (tptp.c_fequal @t35 @t2)) % 6.72/6.98 (define @t435 () (tptp.c_lessequals @t98 @t99 @t2)) % 6.72/6.98 (define @t436 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t39 @t2) @t100))) % 6.72/6.98 (define @t437 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 6.72/6.98 (define @t438 () (@list @t2 @t35 @t39 @t99 @t98)) % 6.72/6.98 (define @t439 () (@var "V_u" $$unsorted)) % 6.72/6.98 (define @t440 () (@var "V_l" $$unsorted)) % 6.72/6.98 (define @t441 () (@list @t2 @t35 @t1)) % 6.72/6.98 (define @t442 () (tptp.hAPP @t64 @t160)) % 6.72/6.98 (define @t443 () (tptp.hAPP @t442 @t6)) % 6.72/6.98 (define @t444 () (tptp.hAPP @t65 @t443)) % 6.72/6.98 (define @t445 () (tptp.hAPP (tptp.hAPP @t64 @t252) @t6)) % 6.72/6.98 (define @t446 () (tptp.hBOOL (tptp.c_in @t63 (tptp.hAPP @t442 @t1) @t2))) % 6.72/6.98 (define @t447 () (tptp.hAPP @t442 @t4)) % 6.72/6.98 (define @t448 () (tptp.hAPP @t353 @t63)) % 6.72/6.98 (define @t449 () (tptp.hAPP @t352 @t63)) % 6.72/6.98 (define @t450 () (= @t63 @t160)) % 6.72/6.98 (define @t451 () (tptp.c_Finite__Set_Ofinite @t70 @t2)) % 6.72/6.98 (define @t452 () (@var "V_xc" $$unsorted)) % 6.72/6.98 (define @t453 () (@var "V_xb" $$unsorted)) % 6.72/6.98 (define @t454 () (@var "V_f1" $$unsorted)) % 6.72/6.98 (define @t455 () (@var "V_fun2" $$unsorted)) % 6.72/6.98 (define @t456 () (@var "V_fun1" $$unsorted)) % 6.72/6.98 (define @t457 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t454 @t456) @t361) @t455)) % 6.72/6.98 (define @t458 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t456 @t361 @t455 @t16)) % 6.72/6.98 (define @t459 () (@list @t454 @t456 @t361 @t455 @t16 @t2)) % 6.72/6.98 (define @t460 () (@var "V_ts_H" $$unsorted)) % 6.72/6.98 (define @t461 () (tptp.tc_Hoare__Mirabelle_Otriple @t2)) % 6.72/6.98 (define @t462 () (tptp.tc_fun @t461 tptp.tc_bool)) % 6.72/6.98 (define @t463 () (@var "V_ts" $$unsorted)) % 6.72/6.98 (define @t464 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 @t463 @t2)) % 6.72/6.98 (define @t465 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 6.72/6.98 (define @t466 () (tptp.hAPP tptp.v_P tptp.v_R)) % 6.72/6.98 (define @t467 () (tptp.c_Orderings_Obot__class_Obot @t462)) % 6.72/6.98 (define @t468 () (tptp.c_Hoare__Mirabelle_Opeek__and @t51 @t160 @t2)) % 6.72/6.98 (define @t469 () (tptp.c_Set_Oinsert @t461)) % 6.72/6.98 (define @t470 () (tptp.c_Hoare__Mirabelle_Opeek__and @t51 (tptp.c_Fun_Ocomp tptp.c_Not @t160 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t2)) % 6.72/6.98 (define @t471 () (@list @t2 @t63)) % 6.72/6.98 (define @t472 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t201 @t2)) % 6.72/6.98 (define @t473 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 6.72/6.98 (define @t474 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t473 tptp.tc_bool))) % 6.72/6.98 (define @t475 () (tptp.c_Set_Oinsert @t473)) % 6.72/6.98 (define @t476 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t475 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t35 @t130 @t95 tptp.t_a)) @t474) tptp.t_a))) % 6.72/6.98 (define @t477 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t262 @t51 @t79 @t130)) % 6.72/6.98 (define @t478 () (@var "V_Z_H" $$unsorted)) % 6.72/6.98 (define @t479 () (tptp.hAPP @t35 @t478)) % 6.72/6.98 (define @t480 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t262 @t51 @t79 @t130 @t35 @t95)) % 6.72/6.98 (define @t481 () (tptp.hAPP @t95 @t478)) % 6.72/6.98 (define @t482 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t475 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t51 @t130 @t79 tptp.t_a)) @t474) tptp.t_a)) % 6.72/6.98 (define @t483 () (@list @t262 @t51 @t130 @t79 @t95 @t478 @t35)) % 6.72/6.98 (define @t484 () (@var "V_Q_H" $$unsorted)) % 6.72/6.98 (define @t485 () (@var "V_P_H" $$unsorted)) % 6.72/6.98 (define @t486 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t475 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t485 @t130 @t484 tptp.t_a)) @t474) tptp.t_a))) % 6.72/6.98 (define @t487 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t51 @t485 @t79 @t484)) % 6.72/6.98 (define @t488 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t51 @t485 @t79 @t484)) % 6.72/6.98 (define @t489 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t262 @t51 @t79 @t130)) % 6.72/6.98 (define @t490 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t262 @t51 @t79 @t130 @t35 @t95)) % 6.72/6.98 (define @t491 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t262 @t51 @t79 @t130)) % 6.72/6.98 (define @t492 () (@list @t262 @t51 @t130 @t79)) % 6.72/6.98 (define @t493 () (@list @t262 @t51 @t130 @t79 @t35 @t95)) % 6.72/6.98 (define @t494 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t262 @t51 @t79 @t130)) % 6.72/6.98 (define @t495 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t51 @t485 @t79 @t484)) % 6.72/6.98 (define @t496 () (@list @t262 @t51 @t130 @t79 @t485 @t484)) % 6.72/6.98 (define @t497 () (tptp.hAPP @t469 @t423)) % 6.72/6.98 (define @t498 () (@var "V_G_H" $$unsorted)) % 6.72/6.98 (define @t499 () (@var "V_fun2_H" $$unsorted)) % 6.72/6.98 (define @t500 () (@var "V_fun1_H" $$unsorted)) % 6.72/6.98 (define @t501 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t456 @t361 @t455 @t2) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t500 @t218 @t499 @t2)))) % 6.72/6.98 (define @t502 () (@list @t456 @t361 @t455 @t2 @t500 @t218 @t499)) % 6.72/6.98 (define @t503 () (= @t160 @t268)) % 6.72/6.98 (define @t504 () (= @t160 @t130)) % 6.72/6.98 (define @t505 () (not (= @t444 (tptp.hAPP @t394 (tptp.hAPP (tptp.hAPP @t64 @t268) @t6))))) % 6.72/6.98 (define @t506 () (= @t63 @t268)) % 6.72/6.98 (define @t507 () (= @t63 @t130)) % 6.72/6.98 (define @t508 () (tptp.hAPP @t64 @t39)) % 6.72/6.98 (define @t509 () (tptp.hAPP @t508 @t1)) % 6.72/6.98 (define @t510 () (tptp.hBOOL (tptp.hAPP @t509 @t35))) % 6.72/6.98 (define @t511 () (tptp.hAPP @t64 @t95)) % 6.72/6.98 (define @t512 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t475 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q tptp.t_a)) @t474) tptp.t_a)) % 6.72/6.98 (define @t513 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t475 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) @t474) tptp.t_a)) % 6.72/6.98 (define @t514 () (@var "V_s" $$unsorted)) % 6.72/6.98 (define @t515 () (@var "V_Z" $$unsorted)) % 6.72/6.98 (define @t516 () (@var "T_1" $$unsorted)) % 6.72/6.98 (define @t517 () (@var "T_2" $$unsorted)) % 6.72/6.98 (define @t518 () (tptp.tc_fun @t517 @t516)) % 6.72/6.98 (define @t519 () (@list @t517 @t516)) % 6.72/6.98 (define @t520 () (not (tptp.class_Lattices_Olattice @t516))) % 6.72/6.98 (define @t521 () (@var "V_X" $$unsorted)) % 6.72/6.98 (define @t522 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) % 6.72/6.98 (define @t523 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) % 6.72/6.98 (define @t524 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t522) @t523))) % 6.72/6.98 (define @t525 () (or @t513 @t524)) % 6.72/6.98 (define @t526 () (not @t524)) % 6.72/6.98 (define @t527 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H @t522) @t523))) % 6.72/6.98 (define @t528 () (or @t527 @t526)) % 6.72/6.98 (define @t529 () (not @t512)) % 6.72/6.98 (define @t530 () (not @t527)) % 6.72/6.98 (define @t531 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t522) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q)))) % 6.72/6.98 (define @t532 () (or @t513 @t531 @t530 @t529)) % 6.72/6.98 (define @t533 () (not @t531)) % 6.72/6.98 (define @t534 () (or @t513 @t533 @t529)) % 6.72/6.98 (assume @p1 (forall @t11 (or @t10 (= @t5 @t1)))) % 6.72/6.98 (assume @p2 (forall @t19 (or @t18 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17) @t14) @t12) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16) @t15) @t13))))) % 6.72/6.98 (assume @p3 (forall (@list @t12 @t14 @t1 @t2 @t20 @t16) (or (tptp.c_Fun_Oinj__on @t12 (tptp.c_Set_Oimage @t14 @t1 @t2 @t20) @t20 @t16) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t12 @t14 @t20 @t16 @t2) @t1 @t2 @t16))))) % 6.72/6.98 (assume @p4 (forall @t29 (= (tptp.hAPP (tptp.hAPP @t7 @t28) @t1) (tptp.hAPP (tptp.hAPP @t26 @t25) @t23)))) % 6.72/6.98 (assume @p5 (forall @t33 (= @t32 (tptp.hAPP @t31 @t30)))) % 6.72/6.98 (assume @p6 (forall @t47 (or @t46 (= @t45 @t42)))) % 6.72/6.98 (assume @p7 (forall @t50 (or @t46 (= (tptp.hAPP (tptp.hAPP @t36 @t44) @t35) (tptp.hAPP (tptp.hAPP @t41 @t49) (tptp.hAPP (tptp.hAPP @t36 @t34) @t35)))))) % 6.72/6.98 (assume @p8 (forall (@list @t51 @t35 @t2 @t1) (or @t55 @t54))) % 6.72/6.98 (assume @p9 (forall @t57 (= (tptp.hAPP @t56 @t1) @t1))) % 6.72/6.98 (assume @p10 (forall @t60 (or @t59 (= (tptp.hAPP @t58 @t35) @t35)))) % 6.72/6.98 (assume @p11 (forall (@list @t14 @t2 @t63 @t1 @t16) (or @t71 @t69 @t62))) % 6.72/6.98 (assume @p12 (forall (@list @t1 @t16 @t4 @t2) (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t74 @t3) @t1))) % 6.72/6.98 (assume @p13 (forall (@list @t35 @t75 @t2) (or @t77 (not @t76)))) % 6.72/6.98 (assume @p14 (forall (@list @t75 @t35 @t2) (or @t76 (not @t77)))) % 6.72/6.98 (assume @p15 (forall (@list @t51 @t79 @t16 @t2 @t20 @t78) (= (tptp.hAPP (tptp.c_COMBB @t51 @t79 @t16 @t2 @t20) @t78) (tptp.hAPP @t51 @t80)))) % 6.72/6.98 (assume @p16 (forall @t82 (= (tptp.c_COMBC @t51 @t79 @t78 @t16 @t20 @t2) (tptp.hAPP @t81 @t79)))) % 6.72/6.98 (assume @p17 (forall (@list @t2 @t51) (= (tptp.hAPP @t83 @t51) @t51))) % 6.72/6.98 (assume @p18 (forall (@list @t51 @t2 @t16 @t79) (= (tptp.hAPP (tptp.c_COMBK @t51 @t2 @t16) @t79) @t51))) % 6.72/6.98 (assume @p19 (forall @t82 (= (tptp.c_COMBS @t51 @t79 @t78 @t16 @t20 @t2) (tptp.hAPP @t81 @t80)))) % 6.72/6.98 (assume @p20 (forall @t92 (or (not @t91) @t87 @t62 @t85))) % 6.72/6.98 (assume @p21 (forall @t92 (or @t91 @t93))) % 6.72/6.98 (assume @p22 (forall @t94 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t4 @t3) @t5))) % 6.72/6.98 (assume @p23 (forall (@list @t2 @t95 @t39 @t35) (or @t97 (not (= (tptp.c_HOL_Ominus__class_Ominus @t95 @t39 @t2) @t96)) (= @t95 @t39)))) % 6.72/6.98 (assume @p24 (forall (@list @t2 @t35 @t99 @t98) (or @t97 (not (= @t96 @t100)) (= @t99 @t98)))) % 6.72/6.98 (assume @p25 (forall (@list @t2 @t102 @t101) (or @t106 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t102 @t2) (tptp.c_Finite__Set_Olinorder__class_OMax @t101 @t2) @t2) @t105 @t104 @t103))) % 6.72/6.98 (assume @p26 (forall @t113 (or @t112 @t109))) % 6.72/6.98 (assume @p27 (forall (@list @t108 @t107 @t2 @t35) (or @t109 @t112))) % 6.72/6.98 (assume @p28 (forall @t119 (or @t106 @t118 @t115))) % 6.72/6.98 (assume @p29 (forall @t119 (or @t106 @t114 (not @t118)))) % 6.72/6.98 (assume @p30 (forall (@list @t14 @t1 @t16 @t2 @t4) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t121 @t120 @t3) (tptp.c_Set_Oimage @t14 (tptp.c_HOL_Ominus__class_Ominus @t1 @t4 @t72) @t16 @t2) @t3))) % 6.72/6.98 (assume @p31 (forall @t33 (= @t123 (tptp.hAPP @t27 @t122)))) % 6.72/6.98 (assume @p32 (forall @t33 (= (tptp.hAPP (tptp.hAPP @t26 @t84) @t21) @t123))) % 6.72/6.98 (assume @p33 (forall @t47 (or @t59 @t126))) % 6.72/6.98 (assume @p34 (forall @t47 (or @t59 @t128))) % 6.72/6.98 (assume @p35 (forall @t47 (or @t129 @t128))) % 6.72/6.98 (assume @p36 (forall @t47 (or @t129 @t126))) % 6.72/6.98 (assume @p37 (forall @t134 (or @t133 @t132))) % 6.72/6.98 (assume @p38 (forall @t136 (or @t135 @t132))) % 6.72/6.98 (assume @p39 (forall @t143 (or @t142 @t140 @t139 @t137 @t62))) % 6.72/6.98 (assume @p40 (forall @t143 (or @t142 @t140 @t139 @t62 @t137))) % 6.72/6.98 (assume @p41 (forall (@list @t14 @t35 @t95 @t1 @t2 @t16) (or (not (= @t141 (tptp.hAPP @t14 @t95))) @t144 @t139 @t62 (= @t35 @t95)))) % 6.72/6.98 (assume @p42 (forall @t143 (or @t142 @t62 @t137 @t140 @t139))) % 6.72/6.98 (assume @p43 (forall @t11 (or (= @t9 @t1) @t146))) % 6.72/6.98 (assume @p44 (forall @t11 (or (= @t9 @t4) @t147))) % 6.72/6.98 (assume @p45 (forall @t119 (or @t149 @t148 @t115))) % 6.72/6.98 (assume @p46 (forall @t119 (or @t149 (not @t148) @t114))) % 6.72/6.98 (assume @p47 (forall @t119 (or @t149 (= @t40 @t39) @t151))) % 6.72/6.98 (assume @p48 (forall @t33 (or @t156 @t155 @t153))) % 6.72/6.98 (assume @p49 (forall (@list @t4 @t2 @t1) (tptp.c_lessequals @t4 @t84 @t3))) % 6.72/6.98 (assume @p50 (forall @t157 (tptp.c_lessequals @t1 @t84 @t3))) % 6.72/6.98 (assume @p51 (forall @t166 (or @t59 @t165 @t162 @t159))) % 6.72/6.98 (assume @p52 (forall @t119 (or @t59 @t167))) % 6.72/6.98 (assume @p53 (forall @t169 (or @t59 @t168))) % 6.72/6.98 (assume @p54 (forall @t50 (or @t59 (tptp.c_lessequals @t44 @t35 @t2) (not @t170) @t151))) % 6.72/6.98 (assume @p55 (forall @t47 (or @t59 @t175 @t174 @t172))) % 6.72/6.98 (assume @p56 (forall @t169 (or @t129 @t168))) % 6.72/6.98 (assume @p57 (forall @t119 (or @t129 @t167))) % 6.72/6.98 (assume @p58 (forall @t11 (= @t9 @t25))) % 6.72/6.98 (assume @p59 (forall @t119 (or @t149 @t176))) % 6.72/6.98 (assume @p60 (forall @t119 (or @t129 @t176))) % 6.72/6.98 (assume @p61 (forall @t11 (or (= @t177 @t4) @t146))) % 6.72/6.98 (assume @p62 (forall @t119 (or @t106 (not (= @t117 @t116)) @t137))) % 6.72/6.98 (assume @p63 (forall @t182 (not (= tptp.c_Com_Ocom_OSKIP @t181)))) % 6.72/6.98 (assume @p64 (forall @t47 (or @t129 (tptp.c_lessequals @t42 @t45 @t2)))) % 6.72/6.98 (assume @p65 (forall @t94 (tptp.c_lessequals @t5 @t1 @t3))) % 6.72/6.98 (assume @p66 (forall @t33 (= (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t31 @t186)) @t23) (tptp.hAPP (tptp.hAPP @t7 (tptp.hAPP @t185 @t28)) @t184)))) % 6.72/6.98 (assume @p67 (forall (@list @t130 @t2 @t16) (= (tptp.c_Set_Oimage @t187 @t73 @t16 @t2) @t6))) % 6.72/6.98 (assume @p68 (forall (@list @t63 @t51 @t2) (or @t189 (not @t188)))) % 6.72/6.98 (assume @p69 (forall (@list @t51 @t63 @t2) (or @t188 (not @t189)))) % 6.72/6.98 (assume @p70 (forall (@list @t130 @t16 @t2 @t1 @t35) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t130 @t16 @t2) @t1 @t2 @t16) (tptp.hAPP (tptp.hAPP @t190 @t130) @t73)) @t139))) % 6.72/6.98 (assume @p71 (forall (@list @t14 @t35 @t4 @t2 @t1 @t16) (or (tptp.hBOOL (tptp.c_in @t141 @t4 @t2)) @t191 (not (tptp.c_lessequals @t121 @t4 @t3))))) % 6.72/6.98 (assume @p72 (forall (@list @t4 @t16 @t14 @t1 @t2) (or (tptp.c_Finite__Set_Ofinite @t4 @t16) (not (tptp.c_lessequals @t4 @t194 @t72)) @t193))) % 6.72/6.98 (assume @p73 (forall (@list @t14 @t2 @t1 @t4 @t16 @t21) (or (= (tptp.c_Set_Oimage @t14 @t9 @t2 @t16) (tptp.hAPP (tptp.hAPP @t90 @t194) @t196)) @t155 @t153 @t195))) % 6.72/6.98 (assume @p74 (forall @t203 (or @t202 @t139 @t200))) % 6.72/6.98 (assume @p75 (forall @t203 (or @t199 @t139 @t204))) % 6.72/6.98 (assume @p76 (forall @t205 (= (tptp.c_Finite__Set_Ofold1 @t14 @t1 @t2) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t14 @t1 @t2) @t2)))) % 6.72/6.98 (assume @p77 (forall (@list @t16 @t102 @t206 @t1 @t2) (or @t207 (tptp.c_lessequals (tptp.hAPP @t102 @t206) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1 @t102 @t2 @t16) @t16) (not (tptp.hBOOL (tptp.c_in @t206 @t1 @t2)))))) % 6.72/6.98 (assume @p78 (forall (@list @t4 @t63 @t1 @t2 @t16) (or (tptp.c_lessequals @t211 @t210 @t72) @t209))) % 6.72/6.98 (assume @p79 (forall @t216 (or (= @t215 @t5) @t213))) % 6.72/6.98 (assume @p80 (forall (@list @t2 @t217) (= (tptp.c_Set_Oimage @t83 @t217 @t2 @t2) @t217))) % 6.72/6.98 (assume @p81 (forall @t220 (not (= @t219 tptp.c_Com_Ocom_OSKIP)))) % 6.72/6.98 (assume @p82 (forall (@list @t2 @t35 @t95 @t1) (or @t149 (tptp.c_lessequals @t35 @t95 @t2) @t144 (not (tptp.c_lessequals @t35 @t222 @t2)) @t221 @t193))) % 6.72/6.98 (assume @p83 (forall @t94 (or @t223 @t193))) % 6.72/6.98 (assume @p84 (forall (@list @t14 @t1 @t4 @t2 @t16) (or (tptp.c_Fun_Oinj__on @t14 @t5 @t2 @t16) @t62))) % 6.72/6.98 (assume @p85 (forall @t227 (or @t226 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t70 @t2) (tptp.hAPP @t225 @t224))))) % 6.72/6.98 (assume @p86 (forall (@list @t51 @t2) (= @t52 @t51))) % 6.72/6.98 (assume @p87 (forall @t228 (or @t59 (tptp.c_Finite__Set_Ofun__left__comm__idem @t41 @t2 @t2)))) % 6.72/6.98 (assume @p88 (forall @t235 (or @t234 @t230))) % 6.72/6.98 (assume @p89 (forall @t235 (or @t234 @t236))) % 6.72/6.98 (assume @p90 (forall (@list @t232 @t229 @t180 @t218) (not (= @t233 @t219)))) % 6.72/6.98 (assume @p91 (forall @t227 (or @t226 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t70 @t2) (tptp.hAPP @t163 @t237))))) % 6.72/6.98 (assume @p92 (forall (@list @t232 @t229 @t180 @t179 @t178) (not (= @t233 @t181)))) % 6.72/6.98 (assume @p93 (forall @t157 (or @t192 @t239 @t238))) % 6.72/6.98 (assume @p94 (forall @t94 (or @t223 @t193 @t238))) % 6.72/6.98 (assume @p95 (forall @t57 (tptp.c_Fun_Oinj__on @t83 @t1 @t2 @t2))) % 6.72/6.98 (assume @p96 (forall (@list @t4 @t35 @t16 @t1 @t2) (or (tptp.c_Finite__Set_Ofinite @t240 @t16) @t139 (not (tptp.c_Finite__Set_Ofinite @t210 @t16)) @t193))) % 6.72/6.98 (assume @p97 (forall (@list @t1 @t4 @t16 @t2 @t35) (or (not (= @t242 @t6)) @t241 @t191))) % 6.72/6.98 (assume @p98 (forall (@list @t243 @t232 @t229 @t180 @t218) (not (= @t244 @t219)))) % 6.72/6.98 (assume @p99 (forall @t136 (or @t135 @t246))) % 6.72/6.98 (assume @p100 (forall @t248 (or (not (= @t194 @t196)) @t93 @t247))) % 6.72/6.98 (assume @p101 (forall @t134 (or @t249 @t246))) % 6.72/6.98 (assume @p102 (forall (@list @t1 @t35 @t4 @t2 @t250 @t16) (or (tptp.c_lessequals @t251 @t4 @t3) (not (tptp.hBOOL (tptp.c_in @t35 @t250 @t16))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t250 @t1 @t16 @t3) @t4 @t3))))) % 6.72/6.98 (assume @p103 (forall (@list @t130 @t16 @t20 @t14) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t130 @t16 @t20) @t14 @t20 @t16 tptp.t_a) tptp.v_x) @t130))) % 6.72/6.98 (assume @p104 (forall (@list @t180 @t179 @t178 @t232 @t229) (not (= @t181 @t233)))) % 6.72/6.98 (assume @p105 (forall (@list @t16 @t1 @t252 @t250 @t2) (or (= (tptp.hAPP (tptp.hAPP @t254 (tptp.hAPP @t1 @t252)) @t253) @t253) (not (tptp.hBOOL (tptp.c_in @t252 @t250 @t2)))))) % 6.72/6.98 (assume @p106 (forall @t256 (or @t255 @t230))) % 6.72/6.98 (assume @p107 (forall @t256 (or @t255 @t236))) % 6.72/6.98 (assume @p108 (forall @t256 (or @t255 @t257))) % 6.72/6.98 (assume @p109 (forall @t258 (tptp.c_lessequals (tptp.c_Set_Oimage @t14 (tptp.hAPP (tptp.hAPP @t90 @t1) @t4) @t16 @t2) (tptp.hAPP (tptp.hAPP @t7 @t121) @t120) @t3))) % 6.72/6.98 (assume @p110 (forall @t266 (or @t265 @t264 @t261))) % 6.72/6.98 (assume @p111 (forall @t273 (or @t272 @t271 (not @t269) (not @t267)))) % 6.72/6.98 (assume @p112 (forall (@list @t2 @t160 @t268 @t63 @t130) (or @t272 @t269 @t276 @t274))) % 6.72/6.98 (assume @p113 (forall (@list @t2 @t130 @t63 @t160 @t268) (or @t272 @t267 @t276 @t274))) % 6.72/6.98 (assume @p114 (forall @t33 (or (not @t278) @t277))) % 6.72/6.98 (assume @p115 (forall @t33 (or @t278 @t279))) % 6.72/6.98 (assume @p116 (forall (@list @t14 @t12 @t16 @t2 @t20 @t35) (= @t282 @t281))) % 6.72/6.98 (assume @p117 (forall (@list @t63 @t160 @t283 @t20 @t16 @t2) (= @t285 (tptp.hAPP @t284 @t283)))) % 6.72/6.98 (assume @p118 (forall @t273 (or @t272 @t271 @t275))) % 6.72/6.98 (assume @p119 (forall (@list @t4 @t35 @t1 @t2) (or @t288 @t287 (not @t286)))) % 6.72/6.98 (assume @p120 (forall @t290 (or @t286 @t289))) % 6.72/6.98 (assume @p121 (forall @t290 (or @t286 @t291))) % 6.72/6.98 (assume @p122 (forall @t205 (or (= @t292 @t1) (not @t293) (not (tptp.c_lessequals @t292 @t1 @t3)) @t193))) % 6.72/6.98 (assume @p123 (forall @t134 (or @t133 @t135 (not @t294)))) % 6.72/6.98 (assume @p124 (forall @t47 (or @t129 @t297))) % 6.72/6.98 (assume @p125 (forall @t47 (or @t129 @t298))) % 6.72/6.98 (assume @p126 (forall @t47 (or @t149 @t298))) % 6.72/6.98 (assume @p127 (forall @t47 (or @t149 @t297))) % 6.72/6.98 (assume @p128 (forall @t33 (= (tptp.hAPP (tptp.hAPP @t7 @t9) @t21) @t299))) % 6.72/6.98 (assume @p129 (forall @t33 (= @t299 (tptp.hAPP @t24 @t30)))) % 6.72/6.98 (assume @p130 (forall (@list @t2 @t1 @t4 @t16 @t35) (or (not (= @t6 @t242)) @t241 @t191))) % 6.72/6.98 (assume @p131 (forall (@list @t259 @t2 @t262) (or @t260 @t300))) % 6.72/6.98 (assume @p132 (forall (@list @t262 @t2 @t259) (or @t263 @t300))) % 6.72/6.98 (assume @p133 (forall (@list @t2 @t16 @t1 @t4) (= (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t73 @t1 @t16 @t3)) @t4) @t4))) % 6.72/6.98 (assume @p134 (forall (@list @t2 @t1 @t16 @t4) (= (tptp.hAPP @t56 @t74) @t1))) % 6.72/6.98 (assume @p135 (forall @t220 (not (= tptp.c_Com_Ocom_OSKIP @t219)))) % 6.72/6.98 (assume @p136 (forall (@list @t2 @t21 @t1 @t4) (= (tptp.hAPP @t22 @t5) (tptp.c_HOL_Ominus__class_Ominus @t23 (tptp.hAPP @t22 @t4) @t3)))) % 6.72/6.98 (assume @p137 (forall @t33 (= (tptp.hAPP @t302 @t21) @t301))) % 6.72/6.98 (assume @p138 (forall (@list @t1 @t4 @t2 @t21 @t303) (or (tptp.c_lessequals @t5 (tptp.c_HOL_Ominus__class_Ominus @t21 @t303 @t3) @t3) (not (tptp.c_lessequals @t303 @t4 @t3)) @t153))) % 6.72/6.98 (assume @p139 (forall @t304 (or @t213 @t139 @t10))) % 6.72/6.98 (assume @p140 (forall @t47 (or @t129 (tptp.c_lessequals @t306 @t305 @t2)))) % 6.72/6.98 (assume @p141 (forall (@list @t2 @t1 @t21 @t4) (= @t301 (tptp.c_HOL_Ominus__class_Ominus @t30 @t4 @t3)))) % 6.72/6.98 (assume @p142 (forall @t119 (or @t129 (= (tptp.hAPP @t58 @t40) @t35)))) % 6.72/6.98 (assume @p143 (forall @t94 (or @t247 @t147 @t146))) % 6.72/6.98 (assume @p144 (forall @t119 (or @t272 @t137 @t151 @t115))) % 6.72/6.98 (assume @p145 (forall @t119 (or @t272 @t137 @t115 @t151))) % 6.72/6.98 (assume @p146 (forall @t119 (or @t129 (= (tptp.hAPP @t37 @t125) @t35)))) % 6.72/6.98 (assume @p147 (forall @t11 (= (tptp.hAPP @t307 @t9) @t1))) % 6.72/6.98 (assume @p148 (forall @t119 (or @t59 (= @t125 @t35) @t151))) % 6.72/6.98 (assume @p149 (forall @t119 (or @t59 (not @t308) @t114))) % 6.72/6.98 (assume @p150 (forall @t119 (or @t59 @t308 @t115))) % 6.72/6.98 (assume @p151 (forall @t11 (or @t309 @t146))) % 6.72/6.98 (assume @p152 (forall @t11 (or (= @t84 @t1) @t147))) % 6.72/6.98 (assume @p153 (forall @t11 (or (not @t309) @t145))) % 6.72/6.98 (assume @p154 (forall (@list @t310 @t259 @t2 @t16) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t310 @t259 @t2 @t16) @t16) @t261))) % 6.72/6.98 (assume @p155 (= (tptp.hAPP @t311 tptp.v_x) (tptp.c_in tptp.v_x @t311 tptp.t_a))) % 6.72/6.98 (assume @p156 (forall (@list @t2 @t101 @t102) (or @t106 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t101 @t2) (tptp.c_Finite__Set_Olinorder__class_OMin @t102 @t2) @t2) @t105 @t104 @t103))) % 6.72/6.98 (assume @p157 (forall @t316 (or @t315 @t313 @t109))) % 6.72/6.98 (assume @p158 (forall @t316 (or @t315 (not @t317) @t109))) % 6.72/6.98 (assume @p159 (forall @t318 (or @t317 @t314 @t109))) % 6.72/6.98 (assume @p160 (forall @t318 (or @t317 @t320 @t109))) % 6.72/6.98 (assume @p161 (forall @t321 (or @t312 @t320 @t109))) % 6.72/6.98 (assume @p162 (forall (@list @t108 @t35 @t39 @t107 @t2) (or @t322 @t313 @t109))) % 6.72/6.98 (assume @p163 (forall @t316 (or @t314 @t317 @t109))) % 6.72/6.98 (assume @p164 (forall @t113 (or @t111 @t109 @t323))) % 6.72/6.98 (assume @p165 (forall (@list @t108 @t35 @t107 @t2) (or (not @t323) @t109 @t112))) % 6.72/6.98 (assume @p166 (forall (@list @t130 @t1 @t4 @t2) (or @t245 @t133 @t324))) % 6.72/6.98 (assume @p167 (forall @t304 (or @t212 @t326))) % 6.72/6.98 (assume @p168 (forall (@list @t16 @t1 @t102 @t2) (or @t207 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1 (tptp.c_COMBK @t102 @t16 @t2) @t2 @t16) @t102) @t221))) % 6.72/6.98 (assume @p169 (forall (@list @t16 @t14 @t35 @t1 @t2) (or (= (tptp.hAPP (tptp.hAPP @t190 @t141) @t194) @t194) @t139))) % 6.72/6.98 (assume @p170 (forall @t203 (or @t199 @t146 @t138))) % 6.72/6.98 (assume @p171 (forall @t327 (or @t145 @t138 @t200))) % 6.72/6.98 (assume @p172 (forall @t327 (or @t145 @t200 @t138))) % 6.72/6.98 (assume @p173 (forall @t330 (or (= @t329 @t9) @t208))) % 6.72/6.98 (assume @p174 (forall @t333 (or (= @t332 @t186) @t331))) % 6.72/6.98 (assume @p175 (forall (@list @t160 @t1 @t4 @t16 @t2 @t35) (or (tptp.hBOOL (tptp.c_in @t160 @t242 @t2)) (not (tptp.hBOOL (tptp.c_in @t160 @t240 @t2))) @t191))) % 6.72/6.98 (assume @p176 (forall (@list @t160 @t1 @t4 @t2 @t16 @t63) (or (tptp.hBOOL (tptp.c_in @t160 @t210 @t16)) (not (tptp.hBOOL (tptp.c_in @t160 @t211 @t16))) @t209))) % 6.72/6.98 (assume @p177 (forall (@list @t2 @t4 @t1) (= (tptp.hAPP (tptp.hAPP @t26 @t88) @t1) @t334))) % 6.72/6.98 (assume @p178 (forall @t11 (= @t177 @t84))) % 6.72/6.98 (assume @p179 (forall (@list @t16 @t1 @t4) (or (not (tptp.class_HOL_Ominus @t16)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t1 @t4 @t17) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t1 tptp.v_x) (tptp.hAPP @t4 tptp.v_x) @t16))))) % 6.72/6.98 (assume @p180 (forall (@list @t21 @t4 @t2 @t1) (or @t337 @t336))) % 6.72/6.98 (assume @p181 (forall (@list @t21 @t1 @t2 @t4) (or @t277 @t336))) % 6.72/6.98 (assume @p182 (forall @t342 (or @t149 @t341 @t340))) % 6.72/6.98 (assume @p183 (forall (@list @t2 @t35 @t160 @t63) (or @t149 @t343 @t340))) % 6.72/6.98 (assume @p184 (forall @t166 (or @t149 @t344 @t159))) % 6.72/6.98 (assume @p185 (forall @t166 (or @t149 @t344 @t162))) % 6.72/6.98 (assume @p186 (forall @t47 (or @t149 @t114 @t346))) % 6.72/6.98 (assume @p187 (forall @t347 (or @t149 @t171 @t346))) % 6.72/6.98 (assume @p188 (forall @t33 (= (tptp.c_HOL_Ominus__class_Ominus @t84 @t21 @t3) (tptp.hAPP (tptp.hAPP @t26 @t349) @t348)))) % 6.72/6.98 (assume @p189 (forall (@list @t108 @t355 @t1 @t35 @t2 @t354 @t107 @t353 @t352 @t351 @t350) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t357) @t35)) @t139 @t356))) % 6.72/6.98 (assume @p190 (forall (@list @t108 @t35 @t354 @t1 @t2 @t355 @t107 @t353 @t352 @t351 @t350) (or (tptp.hBOOL (tptp.hAPP @t319 @t358)) @t139 @t356))) % 6.72/6.98 (assume @p191 (forall @t11 (= @t84 @t334))) % 6.72/6.98 (assume @p192 (forall @t119 (or @t59 @t360))) % 6.72/6.98 (assume @p193 (forall @t119 (or @t129 @t360))) % 6.72/6.98 (assume @p194 (forall @t363 (or @t362 @t257))) % 6.72/6.98 (assume @p195 (forall @t363 (or @t362 @t364))) % 6.72/6.98 (assume @p196 (forall @t11 (= (tptp.hAPP @t56 @t84) @t84))) % 6.72/6.98 (assume @p197 (forall @t119 (or @t59 @t365))) % 6.72/6.98 (assume @p198 (forall @t119 (or @t129 @t365))) % 6.72/6.98 (assume @p199 (forall (@list @t12 @t14 @t16 @t20 @t2 @t1) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t12 @t14 @t16 @t20 @t2) @t1 @t2 @t20) (not (tptp.c_Fun_Oinj__on @t12 @t194 @t16 @t20)) @t62))) % 6.72/6.98 (assume @p200 (forall @t182 (not (= @t181 tptp.c_Com_Ocom_OSKIP)))) % 6.72/6.98 (assume @p201 (forall (@list @t1 @t4 @t2 @t16 @t160 @t35) (or @t366 (not (tptp.hBOOL (tptp.hAPP @t240 @t160))) @t139))) % 6.72/6.98 (assume @p202 (forall (@list @t1 @t4 @t2 @t16 @t160 @t63) (or @t366 (not (tptp.hBOOL (tptp.hAPP @t211 @t160))) @t209))) % 6.72/6.98 (assume @p203 (forall @t11 (= (tptp.hAPP @t8 @t88) @t6))) % 6.72/6.98 (assume @p204 (forall (@list @t180 @t218 @t243 @t232 @t229) (not (= @t219 @t244)))) % 6.72/6.98 (assume @p205 (forall @t57 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t2)) @t192))) % 6.72/6.98 (assume @p206 (forall (@list @t35 @t1 @t2 @t51) (or @t138 @t54))) % 6.72/6.98 (assume @p207 (forall (@list @t14 @t63 @t1 @t2 @t16) (or (not @t69) @t367))) % 6.72/6.98 (assume @p208 (forall @t368 (or @t137 @t314 @t322 @t109))) % 6.72/6.98 (assume @p209 (forall (@list @t35 @t39 @t108 @t107 @t2) (or @t137 @t322 @t314 @t109))) % 6.72/6.98 (assume @p210 (forall @t216 (or (= @t215 (tptp.hAPP @t197 @t5)) @t212))) % 6.72/6.98 (assume @p211 (forall (@list @t4 @t35 @t2 @t1) (or @t288 @t370))) % 6.72/6.98 (assume @p212 (forall (@list @t1 @t35 @t2 @t4) (or @t287 @t370))) % 6.72/6.98 (assume @p213 (forall @t205 (or @t293 (not (tptp.c_lessequals @t1 @t292 @t3)) @t193))) % 6.72/6.98 (assume @p214 (forall (@list @t14 @t4 @t2 @t16 @t1) (or @t86 @t93))) % 6.72/6.98 (assume @p215 (forall @t248 (or @t61 @t93))) % 6.72/6.98 (assume @p216 (forall (@list @t35 @t1 @t371 @t14 @t2) (or (not (tptp.hBOOL (tptp.c_in @t35 @t1 @t371))) (tptp.hBOOL (tptp.c_in @t141 (tptp.c_Set_Oimage @t14 @t1 @t371 @t2) @t2))))) % 6.72/6.98 (assume @p217 (forall @t373 (or @t191 @t372))) % 6.72/6.98 (assume @p218 (forall (@list @t14 @t35 @t1 @t16 @t2) (or @t372 @t191))) % 6.72/6.98 (assume @p219 (forall (@list @t14 @t35 @t1 @t2 @t16) (or (tptp.hBOOL (tptp.c_in @t141 @t194 @t16)) @t139))) % 6.72/6.98 (assume @p220 (forall (@list @t1 @t4 @t2 @t21) (or @t375 (not @t374)))) % 6.72/6.98 (assume @p221 (forall @t376 (or @t374 (not @t375)))) % 6.72/6.98 (assume @p222 (forall @t228 (or @t149 (tptp.c_Finite__Set_Ofun__left__comm__idem @t36 @t2 @t2)))) % 6.72/6.98 (assume @p223 (forall @t266 (or @t377 @t264))) % 6.72/6.98 (assume @p224 (forall @t266 (or @t377 @t261))) % 6.72/6.98 (assume @p225 (forall (@list @t16 @t14 @t35 @t12 @t2) (or (not (tptp.class_HOL_Oord @t16)) (tptp.c_lessequals @t141 @t280 @t16) (not (tptp.c_lessequals @t14 @t12 (tptp.tc_fun @t2 @t16)))))) % 6.72/6.98 (assume @p226 (forall @t60 (or @t379 (= (tptp.hAPP (tptp.hAPP @t41 @t378) @t35) @t35)))) % 6.72/6.98 (assume @p227 (forall @t60 (or @t379 (= (tptp.hAPP @t58 @t378) @t35)))) % 6.72/6.98 (assume @p228 (forall @t60 (or @t379 (= (tptp.hAPP (tptp.hAPP @t36 @t378) @t35) @t378)))) % 6.72/6.98 (assume @p229 (forall @t60 (or @t379 (= (tptp.hAPP @t37 @t378) @t378)))) % 6.72/6.98 (assume @p230 (forall @t60 (or (not (tptp.class_Orderings_Obot @t2)) (tptp.c_lessequals @t378 @t35 @t2)))) % 6.72/6.98 (assume @p231 (forall @t11 (or @t379 @t380 (= @t1 @t378)))) % 6.72/6.98 (assume @p232 (forall @t11 (or @t379 @t380 (= @t4 @t378)))) % 6.72/6.98 (assume @p233 (forall @t228 (= (tptp.hAPP @t381 @t6) @t6))) % 6.72/6.98 (assume @p234 (forall (@list @t14 @t1 @t16 @t2) (or (not (= @t121 @t6)) @t382))) % 6.72/6.98 (assume @p235 (forall (@list @t355 @t2 @t350 @t354 @t108 @t107 @t353 @t352 @t351) (or (= (tptp.hAPP @t355 @t6) @t350) @t356))) % 6.72/6.98 (assume @p236 (forall (@list @t354 @t2 @t351 @t355 @t108 @t107 @t353 @t352 @t350) (or (= (tptp.hAPP @t354 @t6) @t351) @t356))) % 6.72/6.98 (assume @p237 (forall (@list @t2 @t51 @t35) (or (not (= @t6 @t52)) @t383))) % 6.72/6.98 (assume @p238 (forall @t385 @t384)) % 6.72/6.98 (assume @p239 (forall @t386 (or @t55 @t384))) % 6.72/6.98 (assume @p240 (forall (@list @t130 @t2) (not (tptp.hBOOL (tptp.c_in @t130 @t6 @t2))))) % 6.72/6.98 (assume @p241 (forall @t387 (not (tptp.hBOOL (tptp.c_in @t63 @t6 @t2))))) % 6.72/6.98 (assume @p242 (forall @t228 (tptp.c_lessequals @t6 @t6 @t3))) % 6.72/6.98 (assume @p243 (forall @t388 (or @t221 (not (tptp.c_lessequals @t1 @t6 @t3))))) % 6.72/6.98 (assume @p244 (forall (@list @t51 @t2 @t35) (or (not (= @t52 @t6)) @t383))) % 6.72/6.98 (assume @p245 (forall @t389 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t6 @t2) @t35))))) % 6.72/6.98 (assume @p246 (forall @t57 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t1 @t3) @t6))) % 6.72/6.98 (assume @p247 (forall @t57 (= (tptp.hAPP @t56 @t6) @t1))) % 6.72/6.98 (assume @p248 (forall @t390 (= (tptp.hAPP @t381 @t4) @t4))) % 6.72/6.98 (assume @p249 (forall @t388 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t1 @t3) @t6))) % 6.72/6.98 (assume @p250 (forall @t388 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t6 @t3) @t1))) % 6.72/6.98 (assume @p251 (forall @t228 (tptp.c_Finite__Set_Ofinite @t6 @t2))) % 6.72/6.98 (assume @p252 (forall @t57 (= (tptp.hAPP @t8 @t6) @t6))) % 6.72/6.98 (assume @p253 (forall @t390 (= (tptp.hAPP (tptp.hAPP @t7 @t6) @t4) @t6))) % 6.72/6.98 (assume @p254 (forall @t57 (tptp.c_lessequals @t6 @t1 @t3))) % 6.72/6.98 (assume @p255 (forall (@list @t2 @t14 @t1 @t16) (or (not (= @t6 @t121)) @t382))) % 6.72/6.98 (assume @p256 (forall (@list @t14 @t16 @t2) (= @t391 @t6))) % 6.72/6.98 (assume @p257 (forall (@list @t14 @t2 @t16) (tptp.c_Fun_Oinj__on @t14 @t6 @t2 @t16))) % 6.72/6.98 (assume @p258 (forall @t386 (or @t383 @t384))) % 6.72/6.98 (assume @p259 (forall @t11 (or @t392 (= @t4 @t6)))) % 6.72/6.98 (assume @p260 (forall @t11 (or @t392 @t221))) % 6.72/6.98 (assume @p261 (forall (@list @t2 @t14 @t16) (= @t6 @t391))) % 6.72/6.98 (assume @p262 (forall @t227 (or (= @t393 @t1) @t209))) % 6.72/6.98 (assume @p263 (forall (@list @t130 @t2 @t16 @t1) (or (= (tptp.c_Set_Oimage @t187 @t1 @t16 @t2) (tptp.hAPP @t394 @t6)) @t382))) % 6.72/6.98 (assume @p264 (forall (@list @t16 @t63 @t1 @t4 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP @t395 @t1) @t4 @t16 @t3) (tptp.hAPP (tptp.hAPP @t26 @t211) @t242)))) % 6.72/6.98 (assume @p265 (forall (@list @t2 @t1 @t63) (or @t149 (tptp.c_lessequals @t222 @t63 @t2) @t209 @t193))) % 6.72/6.98 (assume @p266 (forall @t396 (or @t226 (tptp.c_lessequals @t224 @t35 @t2) @t139))) % 6.72/6.98 (assume @p267 (forall @t398 (or @t272 @t397 @t275))) % 6.72/6.98 (assume @p268 (forall @t398 (or @t272 (not @t397) @t276))) % 6.72/6.98 (assume @p269 (forall @t333 (or (= @t332 (tptp.hAPP @t65 @t186)) (not @t331)))) % 6.72/6.98 (assume @p270 (forall @t330 (or (= @t329 @t399) @t209))) % 6.72/6.98 (assume @p271 (forall @t401 (or (tptp.c_lessequals @t84 (tptp.hAPP @t183 @t303) @t3) @t400 @t153))) % 6.72/6.98 (assume @p272 (forall @t119 (or @t129 @t402))) % 6.72/6.98 (assume @p273 (forall @t119 (or @t129 @t403))) % 6.72/6.98 (assume @p274 (forall @t47 (or @t149 @t345 @t172 @t115))) % 6.72/6.98 (assume @p275 (forall @t342 (or @t149 @t339 @t405 @t404))) % 6.72/6.98 (assume @p276 (forall @t119 (or @t149 @t403))) % 6.72/6.98 (assume @p277 (forall @t119 (or @t149 @t402))) % 6.72/6.98 (assume @p278 (forall @t11 (tptp.c_lessequals @t9 @t1 @t3))) % 6.72/6.98 (assume @p279 (forall @t11 (tptp.c_lessequals @t9 @t4 @t3))) % 6.72/6.98 (assume @p280 (forall (@list @t21 @t2 @t1 @t4) (or @t335 (not @t337) @t279))) % 6.72/6.98 (assume @p281 (forall (@list @t14 @t12 @t310 @t406 @t20 @t2 @t16) (= (tptp.c_Fun_Ocomp @t14 (tptp.c_Fun_Ocomp @t12 @t310 @t406 @t20 @t2) @t20 @t16 @t2) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t14 @t12 @t20 @t16 @t406) @t310 @t406 @t16 @t2)))) % 6.72/6.98 (assume @p282 (forall @t407 (not (= @t231 tptp.c_Com_Ocom_OSKIP)))) % 6.72/6.98 (assume @p283 (forall @t50 (or @t46 (= (tptp.hAPP (tptp.hAPP @t41 @t295) @t35) (tptp.hAPP (tptp.hAPP @t36 @t359) (tptp.hAPP (tptp.hAPP @t41 @t34) @t35)))))) % 6.72/6.98 (assume @p284 (forall @t47 (or @t46 (= @t306 @t305)))) % 6.72/6.98 (assume @p285 (forall @t33 (= (tptp.hAPP @t56 @t186) (tptp.hAPP @t185 @t122)))) % 6.72/6.98 (assume @p286 (forall @t29 (= (tptp.hAPP (tptp.hAPP @t26 @t186) @t1) (tptp.hAPP (tptp.hAPP @t7 @t334) @t184)))) % 6.72/6.98 (assume @p287 (forall (@list @t14 @t12 @t20 @t16) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t12 @t20 @t16 tptp.t_a) tptp.v_x) (tptp.hAPP @t14 @t13)))) % 6.72/6.98 (assume @p288 (forall @t216 (or @t325 @t146 @t213))) % 6.72/6.98 (assume @p289 (forall (@list @t14 @t12 @t1 @t20 @t16 @t2) (= (tptp.c_Set_Oimage @t14 (tptp.c_Set_Oimage @t12 @t1 @t20 @t16) @t16 @t2) (tptp.c_Set_Oimage (tptp.c_COMBB @t14 @t12 @t16 @t2 @t20) @t1 @t20 @t2)))) % 6.72/6.98 (assume @p290 (forall @t119 (or @t129 @t408))) % 6.72/6.98 (assume @p291 (forall @t119 (or @t149 @t408))) % 6.72/6.98 (assume @p292 (forall @t11 (= (tptp.hAPP @t8 @t9) @t9))) % 6.72/6.98 (assume @p293 (forall (@list @t14 @t35 @t34 @t2 @t16) (or (= (tptp.hAPP @t141 @t410) @t410) @t409))) % 6.72/6.98 (assume @p294 (forall (@list @t1 @t4 @t2 @t63) (or @t223 (not @t412)))) % 6.72/6.98 (assume @p295 (forall @t413 (or @t412 @t239))) % 6.72/6.98 (assume @p296 (forall (@list @t14 @t12 @t20 @t2 @t16 @t414) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t14 @t12 @t20 @t2 @t16) @t414 @t16 @t2) (tptp.c_Set_Oimage @t14 (tptp.c_Set_Oimage @t12 @t414 @t16 @t20) @t20 @t2)))) % 6.72/6.98 (assume @p297 (forall (@list @t180 @t218 @t232 @t229) (not (= @t219 @t233)))) % 6.72/6.98 (assume @p298 (forall @t415 (or @t294 @t249))) % 6.72/6.98 (assume @p299 (forall @t415 (or @t294 @t324))) % 6.72/6.98 (assume @p300 (forall @t60 (or @t149 (= (tptp.hAPP @t37 @t35) @t35)))) % 6.72/6.98 (assume @p301 (forall @t57 (= (tptp.hAPP @t8 @t1) @t1))) % 6.72/6.98 (assume @p302 (forall @t50 (or @t59 @t173 @t416))) % 6.72/6.98 (assume @p303 (forall @t347 (or @t59 @t171 @t416))) % 6.72/6.98 (assume @p304 (forall @t342 (or @t59 @t417 @t405))) % 6.72/6.98 (assume @p305 (forall @t342 (or @t59 @t417 @t404))) % 6.72/6.98 (assume @p306 (forall (@list @t2 @t160 @t35 @t63) (or @t59 @t161 @t418))) % 6.72/6.98 (assume @p307 (forall (@list @t2 @t63 @t35 @t160) (or @t59 @t158 @t418))) % 6.72/6.98 (assume @p308 (forall @t420 (or @t152 @t419))) % 6.72/6.98 (assume @p309 (forall (@list @t4 @t21 @t2 @t1) (or @t154 @t419))) % 6.72/6.98 (assume @p310 (forall @t57 (or @t106 (tptp.hBOOL (tptp.c_in @t421 @t1 @t2)) @t221 @t193))) % 6.72/6.98 (assume @p311 (forall @t19 (or @t18 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17) @t14) @t12) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16) @t15) @t13))))) % 6.72/6.98 (assume @p312 (forall (@list @t2 @t34 @t35 @t39) (or @t272 @t170 (not (tptp.c_lessequals @t34 @t39 @t2)) @t151))) % 6.72/6.98 (assume @p313 (forall @t347 (or @t422 @t171 @t174 @t115))) % 6.72/6.98 (assume @p314 (forall @t304 (or @t212 @t139 @t146))) % 6.72/6.98 (assume @p315 (forall @t134 (or @t133 @t324 @t146))) % 6.72/6.98 (assume @p316 (forall @t385 (tptp.c_lessequals @t35 @t35 @t3))) % 6.72/6.98 (assume @p317 (forall @t304 (or @t212 @t146 @t139))) % 6.72/6.98 (assume @p318 (forall (@list @t423 @t4 @t2 @t1) (or (tptp.hBOOL (tptp.c_in @t423 @t4 @t2)) (not (tptp.hBOOL (tptp.c_in @t423 @t1 @t2))) @t146))) % 6.72/6.98 (assume @p319 (forall @t388 (tptp.c_lessequals @t1 @t1 @t3))) % 6.72/6.98 (assume @p320 (forall @t420 (or @t152 @t155 @t146))) % 6.72/6.98 (assume @p321 (forall @t248 (or @t61 @t146 @t87))) % 6.72/6.98 (assume @p322 (forall @t426 (or @t425 @t383 @t424))) % 6.72/6.98 (assume @p323 (forall @t60 (or @t272 @t427))) % 6.72/6.98 (assume @p324 (forall @t60 (or @t422 @t427))) % 6.72/6.98 (assume @p325 (forall @t157 (or @t192 @t238 @t146))) % 6.72/6.98 (assume @p326 (forall @t426 (or @t425 @t424 @t383))) % 6.72/6.98 (assume @p327 (forall @t157 (or @t192 @t146 @t238))) % 6.72/6.98 (assume @p328 (forall @t401 (or (tptp.c_lessequals @t9 (tptp.hAPP @t22 @t303) @t3) @t400 @t153))) % 6.72/6.98 (assume @p329 (forall @t376 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t28 @t3) (tptp.hAPP @t302 @t349)))) % 6.72/6.98 (assume @p330 (forall @t398 (or @t272 @t428 @t275))) % 6.72/6.98 (assume @p331 (forall @t398 (or @t272 (not @t428) @t276))) % 6.72/6.98 (assume @p332 (forall @t33 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t21 @t3) (tptp.hAPP @t8 @t348)))) % 6.72/6.98 (assume @p333 (forall (@list @t14 @t1 @t4 @t2 @t16 @t21) (or (= @t89 (tptp.c_HOL_Ominus__class_Ominus @t194 @t196 @t72)) @t155 @t153 @t195))) % 6.72/6.98 (assume @p334 (forall @t57 (or @t106 (tptp.hBOOL (tptp.c_in @t429 @t1 @t2)) @t221 @t193))) % 6.72/6.98 (assume @p335 (forall (@list @t35 @t2 @t1 @t51) (or @t53 @t383 @t139))) % 6.72/6.98 (assume @p336 (forall (@list @t63 @t160 @t20 @t16 @t2 @t130 @t268 @t406 @t283) (or (not (= @t284 (tptp.c_Fun_Ocomp @t130 @t268 @t406 @t16 @t2))) (= @t285 (tptp.hAPP @t130 (tptp.hAPP @t268 @t283)))))) % 6.72/6.98 (assume @p337 (forall (@list @t14 @t12 @t35 @t432 @t431 @t99 @t16 @t2 @t20 @t406 @t430) (or (not (= @t281 (tptp.hAPP @t432 (tptp.hAPP @t431 @t99)))) (= @t282 (tptp.hAPP (tptp.c_Fun_Ocomp @t432 @t431 @t406 @t2 @t430) @t99))))) % 6.72/6.98 (assume @p338 (forall @t376 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t186 @t3) (tptp.hAPP @t307 @t349)))) % 6.72/6.98 (assume @p339 (forall (@list @t16 @t1 @t4 @t102 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t433 @t102 @t16 @t3) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1 @t102 @t16 @t3)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t102 @t16 @t3))))) % 6.72/6.98 (assume @p340 (forall @t385 (= (tptp.c_The @t434 @t2) @t35))) % 6.72/6.98 (assume @p341 (forall @t368 (or @t137 @t312 @t314 @t109))) % 6.72/6.98 (assume @p342 (forall @t321 (or @t312 @t314 @t137 @t109))) % 6.72/6.98 (assume @p343 (forall @t321 (or @t312 @t137 @t314 @t109))) % 6.72/6.98 (assume @p344 (forall @t368 (or @t137 @t314 @t312 @t109))) % 6.72/6.98 (assume @p345 (forall @t396 (or @t106 (tptp.c_lessequals @t429 @t35 @t2) @t139 @t193))) % 6.72/6.98 (assume @p346 (forall @t415 (or @t131 @t249 @t324))) % 6.72/6.98 (assume @p347 (forall @t290 (or @t369 @t289 @t291))) % 6.72/6.98 (assume @p348 (forall (@list @t14 @t35 @t16 @t2) (or (= (tptp.c_Fun_Ocomp @t141 @t141 @t16 @t16 @t16) @t141) @t409))) % 6.72/6.98 (assume @p349 (forall (@list @t4 @t21 @t1 @t2) (or (= (tptp.c_HOL_Ominus__class_Ominus @t4 (tptp.c_HOL_Ominus__class_Ominus @t21 @t1 @t3) @t3) @t1) @t155 @t146))) % 6.72/6.98 (assume @p350 (forall @t438 (or @t437 @t436 @t435 @t151))) % 6.72/6.98 (assume @p351 (forall @t438 (or @t437 @t436 @t150 (not @t435)))) % 6.72/6.98 (assume @p352 (forall @t248 (or (tptp.c_lessequals @t194 @t196 @t72) @t146))) % 6.72/6.98 (assume @p353 (forall @t373 (or (not (tptp.c_lessequals @t35 @t1 @t72)) (tptp.c_lessequals (tptp.c_Set_Oimage @t14 @t35 @t16 @t2) @t121 @t3)))) % 6.72/6.98 (assume @p354 (forall (@list @t2 @t440 @t439) (or @t272 (= (tptp.hAPP (tptp.hAPP @t7 (tptp.c_SetInterval_Oord__class_OlessThan @t440 @t2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t440 @t439 @t2)) @t6)))) % 6.72/6.98 (assume @p355 (forall (@list @t1 @t16 @t14 @t2) (or (tptp.c_Finite__Set_Ofinite @t1 @t16) (not (tptp.c_Fun_Oinj__on @t14 @t1 @t16 @t2)) (not (tptp.c_Finite__Set_Ofinite @t121 @t2))))) % 6.72/6.98 (assume @p356 (forall @t441 (or @t106 (tptp.c_lessequals @t35 @t421 @t2) @t139 @t193))) % 6.72/6.98 (assume @p357 (forall @t258 (= (tptp.c_Set_Oimage @t14 @t433 @t16 @t2) (tptp.hAPP (tptp.hAPP @t26 @t121) @t120)))) % 6.72/6.98 (assume @p358 (forall @t441 (or @t226 (tptp.c_lessequals @t35 @t237 @t2) @t139))) % 6.72/6.98 (assume @p359 (forall @t407 (not (= tptp.c_Com_Ocom_OSKIP @t231)))) % 6.72/6.98 (assume @p360 (forall @t169 (or @t106 @t150 @t114))) % 6.72/6.98 (assume @p361 (forall @t398 (or @t226 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t444 @t2) @t164)))) % 6.72/6.98 (assume @p362 (forall (@list @t108 @t107 @t2 @t14 @t16 @t63) (or @t109 (= (tptp.c_Finite__Set_Ofold1 @t14 (tptp.hAPP @t395 @t73) @t16) @t63)))) % 6.72/6.98 (assume @p363 (forall (@list @t2 @t252) (or @t272 (= (tptp.c_HOL_Ominus__class_Ominus @t445 (tptp.c_SetInterval_Oord__class_OlessThan @t252 @t2) @t3) @t445)))) % 6.72/6.98 (assume @p364 (forall @t203 (or @t199 @t146 @t204))) % 6.72/6.98 (assume @p365 (forall @t441 (or (= (tptp.c_HOL_Ominus__class_Ominus @t214 @t201 @t3) @t1) @t138))) % 6.72/6.98 (assume @p366 (forall @t398 (or @t226 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t444 @t2) @t338)))) % 6.72/6.98 (assume @p367 (forall (@list @t2 @t63 @t21 @t303) (or (tptp.c_lessequals (tptp.hAPP @t65 @t21) (tptp.hAPP @t65 @t303) @t3) (not (tptp.c_lessequals @t21 @t303 @t3))))) % 6.72/6.98 (assume @p368 (forall (@list @t63 @t2 @t160 @t1) (or @t446 @t209))) % 6.72/6.98 (assume @p369 (forall (@list @t63 @t2 @t160 @t4) (or (tptp.hBOOL (tptp.c_in @t63 @t447 @t2)) (not (tptp.hBOOL (tptp.c_in @t63 @t4 @t2)))))) % 6.72/6.98 (assume @p370 (forall (@list @t14 @t16 @t63 @t4 @t2) (= (tptp.c_Set_Oimage @t14 (tptp.hAPP @t395 @t4) @t16 @t2) (tptp.hAPP (tptp.hAPP @t64 @t68) @t120)))) % 6.72/6.98 (assume @p371 (forall (@list @t355 @t2 @t63 @t1 @t353 @t354 @t108 @t107 @t352 @t351 @t350) (or (= (tptp.hAPP @t355 @t70) (tptp.hAPP @t448 @t357)) @t356))) % 6.72/6.98 (assume @p372 (forall (@list @t354 @t2 @t63 @t1 @t352 @t355 @t108 @t107 @t353 @t351 @t350) (or (= (tptp.hAPP @t354 @t70) (tptp.hAPP @t449 @t358)) @t356))) % 6.72/6.98 (assume @p373 (forall (@list @t63 @t1 @t2 @t160) (or @t208 @t450 (not @t446)))) % 6.72/6.98 (assume @p374 (forall @t227 (or @t451 @t193))) % 6.72/6.98 (assume @p375 (forall (@list @t1 @t2 @t63) (or @t192 (not @t451)))) % 6.72/6.98 (assume @p376 (forall (@list @t4 @t2 @t63) (tptp.c_lessequals @t4 @t328 @t3))) % 6.72/6.98 (assume @p377 (forall (@list @t2 @t63 @t1 @t4) (= (tptp.hAPP (tptp.hAPP @t7 @t70) @t328) @t399))) % 6.72/6.98 (assume @p378 (forall @t330 (= (tptp.hAPP @t56 @t328) (tptp.hAPP @t65 @t84)))) % 6.72/6.98 (assume @p379 (forall @t333 (= (tptp.hAPP (tptp.hAPP @t26 @t328) @t21) (tptp.hAPP @t65 @t28)))) % 6.72/6.98 (assume @p380 (forall (@list @t1 @t2 @t160 @t4) (or (tptp.c_lessequals @t1 @t447 @t3) @t146))) % 6.72/6.98 (assume @p381 (forall @t327 (or @t145 @t326))) % 6.72/6.98 (assume @p382 (forall (@list @t14 @t1 @t2 @t16 @t63) (or @t61 @t367))) % 6.72/6.98 (assume @p383 (forall (@list @t35 @t2 @t1) (tptp.hBOOL (tptp.c_in @t35 @t214 @t2)))) % 6.72/6.98 (assume @p384 (forall (@list @t63 @t2 @t4) (tptp.hBOOL (tptp.c_in @t63 @t328 @t2)))) % 6.72/6.98 (assume @p385 (forall (@list @t35 @t2 @t4) (tptp.hBOOL (tptp.c_in @t35 @t198 @t2)))) % 6.72/6.98 (assume @p386 (forall @t228 (tptp.c_Finite__Set_Ofun__left__comm__idem @t64 @t2 @t3))) % 6.72/6.98 (assume @p387 (forall @t216 (or (not (= @t214 @t198)) @t212 @t138 @t247))) % 6.72/6.98 (assume @p388 (forall @t227 (or (= @t70 @t1) @t209))) % 6.72/6.98 (assume @p389 (forall (@list @t51 @t454 @t95 @t453 @t452) (or (not (tptp.hBOOL (tptp.hAPP @t51 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t454 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t95 @t453 @t452 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t454 @t95) @t453) @t452)))))) % 6.72/6.98 (assume @p390 (forall (@list @t51 @t454 @t456 @t361 @t455) (or (not (tptp.hBOOL (tptp.hAPP @t51 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t454 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t456 @t361 @t455 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t51 @t457))))) % 6.72/6.98 (assume @p391 (forall @t459 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t454 @t458 @t16 @t2) @t457))) % 6.72/6.98 (assume @p392 (forall @t459 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t454 @t458 @t16 @t2) @t457))) % 6.72/6.98 (assume @p393 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 6.72/6.98 (assume @p394 (forall (@list @t262 @t463 @t2 @t460) (or @t464 (not (tptp.c_lessequals @t463 @t460 @t462)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 @t460 @t2))))) % 6.72/6.98 (assume @p395 (forall (@list @t262 @t463 @t2) (or @t464 (not (tptp.c_lessequals @t463 @t262 @t462))))) % 6.72/6.98 (assume @p396 (= (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP tptp.v_P @t465))) % 6.72/6.98 (assume @p397 (= (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t466 @t465))) % 6.72/6.98 (assume @p398 (= (tptp.c_COMBC tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t466 tptp.v_Q))) % 6.72/6.98 (assume @p399 (forall (@list @t262 @t2 @t51 @t160 @t130) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t51 (tptp.c_Com_Ocom_OWhile @t160 @t130) @t470 @t2)) @t467) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t468 @t130 @t51 @t2)) @t467) @t2))))) % 6.72/6.98 (assume @p400 (forall (@list @t262 @t2 @t51 @t160 @t130 @t268 @t79) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t51 (tptp.c_Com_Ocom_OCond @t160 @t130 @t268) @t79 @t2)) @t467) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t470 @t268 @t79 @t2)) @t467) @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t468 @t130 @t79 @t2)) @t467) @t2))))) % 6.72/6.98 (assume @p401 (forall (@list @t16) (or (not (tptp.class_Orderings_Obot @t16)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t17) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t16))))) % 6.72/6.98 (assume @p402 (forall @t228 (or @t226 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t6 @t2) @t378)))) % 6.72/6.98 (assume @p403 (forall @t387 (= (tptp.c_Collect (tptp.c_fequal @t63 @t2) @t2) @t66))) % 6.72/6.98 (assume @p404 (forall (@list @t1 @t2 @t35) (or (= @t1 @t201) @t221 (not (tptp.c_lessequals @t1 @t201 @t3))))) % 6.72/6.98 (assume @p405 (forall @t385 (tptp.hBOOL (tptp.c_in @t35 @t201 @t2)))) % 6.72/6.98 (assume @p406 (forall (@list @t355 @t2 @t63 @t354 @t108 @t107 @t353 @t352 @t351 @t350) (or (= (tptp.hAPP @t355 @t66) @t63) @t356))) % 6.72/6.98 (assume @p407 (forall (@list @t354 @t2 @t63 @t355 @t108 @t107 @t353 @t352 @t351 @t350) (or (= (tptp.hAPP @t354 @t66) @t63) @t356))) % 6.72/6.98 (assume @p408 (forall @t471 (or @t226 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t66 @t2) @t63)))) % 6.72/6.98 (assume @p409 (forall @t60 (tptp.hBOOL (tptp.hAPP @t201 @t472)))) % 6.72/6.98 (assume @p410 (forall (@list @t2 @t63 @t16 @t4) (= (tptp.hAPP @t65 @t74) @t66))) % 6.72/6.98 (assume @p411 (forall @t389 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t201 @t2) @t35)))) % 6.72/6.98 (assume @p412 (forall @t471 (or @t106 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t66 @t2) @t63)))) % 6.72/6.98 (assume @p413 (forall @t60 (= (tptp.c_The @t201 @t2) @t35))) % 6.72/6.98 (assume @p414 (forall (@list @t355 @t2 @t63 @t160 @t353 @t354 @t108 @t107 @t352 @t351 @t350) (or (= (tptp.hAPP @t355 @t444) (tptp.hAPP @t448 @t160)) @t356))) % 6.72/6.98 (assume @p415 (forall (@list @t354 @t2 @t63 @t160 @t352 @t355 @t108 @t107 @t353 @t351 @t350) (or (= (tptp.hAPP @t354 @t444) (tptp.hAPP @t449 @t160)) @t356))) % 6.72/6.98 (assume @p416 (forall @t413 (= @t411 (tptp.c_HOL_Ominus__class_Ominus @t67 @t4 @t3)))) % 6.72/6.98 (assume @p417 (forall @t413 (= @t411 (tptp.c_HOL_Ominus__class_Ominus @t5 @t66 @t3)))) % 6.72/6.98 (assume @p418 (forall (@list @t63 @t160 @t14 @t2) (or @t450 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t66 @t2) @t160)))))) % 6.72/6.98 (assume @p419 (forall @t60 (= (tptp.c_Set_Ocontents @t201 @t2) @t35))) % 6.72/6.98 (assume @p420 (forall (@list @t39 @t2 @t35) (or (= @t39 @t472) (not (tptp.hBOOL (tptp.hAPP @t201 @t39)))))) % 6.72/6.98 (assume @p421 (forall (@list @t160 @t63 @t2) (or (= @t160 @t63) (not (tptp.hBOOL (tptp.c_in @t160 @t66 @t2)))))) % 6.72/6.98 (assume @p422 (forall (@list @t14 @t2 @t63) (= (tptp.c_Finite__Set_Ofold1 @t14 @t66 @t2) @t63))) % 6.72/6.98 (assume @p423 (forall @t471 (or @t106 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t66 @t2) @t63)))) % 6.72/6.98 (assume @p424 (forall @t227 (= @t393 @t70))) % 6.72/6.98 (assume @p425 (forall @t471 (or @t272 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t63 @t63 @t2) @t66)))) % 6.72/6.98 (assume @p426 (forall (@list @t2 @t35 @t95) (or (not (= (tptp.hAPP @t197 @t95) @t6)) (tptp.hBOOL (tptp.c_in @t35 @t95 @t2))))) % 6.72/6.98 (assume @p427 (forall @t227 (= @t70 (tptp.hAPP (tptp.hAPP @t26 @t66) @t1)))) % 6.72/6.98 (assume @p428 (forall @t471 (or @t226 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t66 @t2) @t63)))) % 6.72/6.98 (assume @p429 (forall @t483 (or @t482 (tptp.hBOOL (tptp.hAPP @t481 @t480)) (not (tptp.hBOOL (tptp.hAPP @t479 @t477))) @t476))) % 6.72/6.98 (assume @p430 (forall (@list @t262 @t51 @t130 @t79 @t484 @t478 @t485) (or @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t484 @t478) @t488)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t485 @t478) @t487))) @t486))) % 6.72/6.98 (assume @p431 (forall @t483 (or @t482 (tptp.hBOOL (tptp.hAPP @t481 @t490)) (not (tptp.hBOOL (tptp.hAPP @t479 @t489))) @t476))) % 6.72/6.98 (assume @p432 (forall @t492 (or @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t491) @t489))))) % 6.72/6.98 (assume @p433 (forall @t493 (or @t482 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t491) @t490))) @t476))) % 6.72/6.98 (assume @p434 (forall @t492 (or @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t494) @t477))))) % 6.72/6.98 (assume @p435 (forall @t496 (or @t482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t495) @t487)) @t486))) % 6.72/6.98 (assume @p436 (forall @t493 (or @t482 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t494) @t480))) @t476))) % 6.72/6.98 (assume @p437 (forall @t496 (or @t482 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t495) @t488))) @t486))) % 6.72/6.98 (assume @p438 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 6.72/6.98 (assume @p439 (forall (@list @t262 @t2 @t51) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t51 tptp.c_Com_Ocom_OSKIP @t51 @t2)) @t467) @t2))) % 6.72/6.98 (assume @p440 (forall (@list @t262 @t2 @t51 @t130 @t268 @t78 @t79) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t51 (tptp.c_Com_Ocom_OSemi @t130 @t268) @t78 @t2)) @t467) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t79 @t268 @t78 @t2)) @t467) @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t51 @t130 @t79 @t2)) @t467) @t2))))) % 6.72/6.98 (assume @p441 (forall (@list @t262 @t2 @t423 @t463) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP @t497 @t463) @t2) (not @t464) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 (tptp.hAPP @t497 @t467) @t2))))) % 6.72/6.98 (assume @p442 (forall @t441 (tptp.hBOOL (tptp.hAPP @t214 @t35)))) % 6.72/6.98 (assume @p443 (forall (@list @t262 @t463 @t2 @t498) (or @t464 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 @t498 @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t498 @t463 @t2))))) % 6.72/6.98 (assume @p444 (forall @t227 (not (= @t6 @t70)))) % 6.72/6.98 (assume @p445 (forall @t502 (or @t501 (= @t455 @t499)))) % 6.72/6.98 (assume @p446 (forall @t502 (or @t501 @t364))) % 6.72/6.98 (assume @p447 (forall @t502 (or @t501 (= @t456 @t500)))) % 6.72/6.98 (assume @p448 (forall @t273 (or @t505 @t504 @t503))) % 6.72/6.98 (assume @p449 (forall @t273 (or @t505 @t506 @t503))) % 6.72/6.98 (assume @p450 (forall @t273 (or @t505 @t504 @t507))) % 6.72/6.98 (assume @p451 (forall @t273 (or @t505 @t506 @t507))) % 6.72/6.98 (assume @p452 (forall @t60 (not (tptp.hBOOL (tptp.hAPP @t6 @t35))))) % 6.72/6.98 (assume @p453 (forall (@list @t262 @t2) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t262 @t467 @t2))) % 6.72/6.98 (assume @p454 (forall (@list @t1 @t35 @t39 @t2) (or @t287 (= @t39 @t35) (not @t510)))) % 6.72/6.98 (assume @p455 (forall @t441 (= (tptp.hAPP @t197 @t214) @t214))) % 6.72/6.98 (assume @p456 (forall @t227 (not (= @t70 @t6)))) % 6.72/6.98 (assume @p457 (forall (@list @t2 @t35 @t39 @t1) (= (tptp.hAPP @t197 @t509) (tptp.hAPP @t508 @t214)))) % 6.72/6.98 (assume @p458 (forall (@list @t2 @t95 @t35) (= (tptp.hAPP @t511 @t201) (tptp.hAPP @t197 (tptp.hAPP @t511 @t6))))) % 6.72/6.98 (assume @p459 (forall @t398 (or (not (= @t66 @t443)) @t450))) % 6.72/6.98 (assume @p460 (forall (@list @t2 @t39 @t1 @t35) (or @t510 @t291))) % 6.72/6.98 (assume @p461 @t512) % 6.72/6.98 (assume @p462 (not @t513)) % 6.72/6.98 (assume @p463 (forall (@list @t515 @t514) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H @t515) @t514)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t515) @t514)))))) % 6.72/6.98 (assume @p464 (forall @t519 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t518) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t516))))) % 6.72/6.98 (assume @p465 (forall @t519 (or (tptp.class_Lattices_Oupper__semilattice @t518) @t520))) % 6.72/6.98 (assume @p466 (forall @t519 (or (tptp.class_Lattices_Olower__semilattice @t518) @t520))) % 6.72/6.98 (assume @p467 (forall @t519 (or (tptp.class_Lattices_Odistrib__lattice @t518) (not (tptp.class_Lattices_Odistrib__lattice @t516))))) % 6.72/6.98 (assume @p468 (forall @t519 (or (tptp.class_Lattices_Obounded__lattice @t518) (not (tptp.class_Lattices_Obounded__lattice @t516))))) % 6.72/6.98 (assume @p469 (forall @t519 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t518) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t516)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t517))))) % 6.72/6.98 (assume @p470 (forall @t519 (or (tptp.class_Orderings_Opreorder @t518) (not (tptp.class_Orderings_Opreorder @t516))))) % 6.72/6.98 (assume @p471 (forall @t519 (or (tptp.class_Lattices_Olattice @t518) @t520))) % 6.72/6.98 (assume @p472 (forall @t519 (or (tptp.class_Orderings_Oorder @t518) (not (tptp.class_Orderings_Oorder @t516))))) % 6.72/6.98 (assume @p473 (forall @t519 (or (tptp.class_Orderings_Obot @t518) (not (tptp.class_Orderings_Obot @t516))))) % 6.72/6.98 (assume @p474 (forall @t519 (or (tptp.class_HOL_Ominus @t518) (not (tptp.class_HOL_Ominus @t516))))) % 6.72/6.98 (assume @p475 (forall @t519 (or (tptp.class_HOL_Oord @t518) (not (tptp.class_HOL_Oord @t516))))) % 6.72/6.98 (assume @p476 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 6.72/6.98 (assume @p477 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 6.72/6.98 (assume @p478 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 6.72/6.98 (assume @p479 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 6.72/6.98 (assume @p480 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 6.72/6.98 (assume @p481 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 6.72/6.98 (assume @p482 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 6.72/6.98 (assume @p483 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 6.72/6.98 (assume @p484 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 6.72/6.98 (assume @p485 (tptp.class_Orderings_Obot tptp.tc_bool)) % 6.72/6.98 (assume @p486 (tptp.class_HOL_Ominus tptp.tc_bool)) % 6.72/6.98 (assume @p487 (tptp.class_HOL_Oord tptp.tc_bool)) % 6.72/6.98 (assume @p488 (forall @t385 (tptp.hBOOL (tptp.hAPP @t434 @t35)))) % 6.72/6.98 (assume @p489 (forall (@list @t521 @t217 @t2) (or (= @t521 @t217) (not (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t521 @t2) @t217)))))) % 6.72/6.98 (step @p490 :rule instantiate :premises (@p436) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q tptp.v_P_H tptp.v_Q))) % 6.72/6.98 (step @p491 :rule instantiate :premises (@p429) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q tptp.v_Q @t522 tptp.v_P_H))) % 6.72/6.98 (step @p492 :rule instantiate :premises (@p463) :args ((@list @t522 @t523))) % 6.72/6.98 (step @p493 :rule instantiate :premises (@p434) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q))) % 6.72/6.98 (step @p494 :rule cnf_or_pos :args (@t525)) % 6.72/6.98 (step @p495 :rule reordering :premises (@p494) :args ((or @t513 @t524 (not @t525)))) % 6.72/6.98 (step @p496 :rule chain_m_resolution :premises (@p495 @p462 @p493) :args (@t524 (@list true false) (@list @t513 @t525))) % 6.72/6.98 (step @p497 :rule cnf_or_pos :args (@t528)) % 6.72/6.98 (step @p498 :rule reordering :premises (@p497) :args ((or @t526 @t527 (not @t528)))) % 6.72/6.98 (step @p499 :rule chain_m_resolution :premises (@p498 @p496 @p492) :args (@t527 (@list false false) (@list @t524 @t528))) % 6.72/6.98 (step @p500 :rule cnf_or_pos :args (@t532)) % 6.72/6.98 (step @p501 :rule reordering :premises (@p500) :args ((or @t513 @t529 @t530 @t531 (not @t532)))) % 6.72/6.98 (step @p502 :rule chain_m_resolution :premises (@p501 @p462 @p461 @p499 @p491) :args (@t531 (@list true false false false) (@list @t513 @t512 @t527 @t532))) % 6.72/6.98 (step @p503 :rule cnf_or_pos :args (@t534)) % 6.72/6.98 (step @p504 :rule reordering :premises (@p503) :args ((or @t513 @t529 @t533 (not @t534)))) % 6.72/6.98 (step @p505 false :rule chain_m_resolution :premises (@p504 @p502 @p490 @p462 @p461) :args (false (@list false false true false) (@list @t531 @t534 @t513 @t512))) % 6.72/6.98 ) % 6.72/6.99 % SZS output end Proof % 6.72/6.99 % cvc5 exiting %------------------------------------------------------------------------------