%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV910-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:36 AM UTC 2026 % Result : Unsatisfiable 29.14s 29.39s % Output : Proof 29.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV910-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 21:21:32 EDT 2026 % 0.18/0.35 % CPUTime : % 0.38/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.86 --- Run --no-e-matching --full-saturate-quant at 6... % 21.72/21.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.74/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.14/29.39 % SZS status Unsatisfiable % 29.14/29.39 % SZS output start Proof % 29.24/29.41 ( % 29.24/29.41 (declare-sort $$unsorted 0) % 29.24/29.41 (declare-const tptp.v_c $$unsorted) % 29.24/29.41 (declare-const tptp.v_xa $$unsorted) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.tc_Com_Ocom $$unsorted) % 29.24/29.41 (declare-const tptp.v_P $$unsorted) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_False $$unsorted) % 29.24/29.41 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.v_G $$unsorted) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.tc_Com_Ostate $$unsorted) % 29.24/29.41 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.tc_bool $$unsorted) % 29.24/29.41 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.v_x $$unsorted) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.t_b $$unsorted) % 29.24/29.41 (declare-const tptp.t_a $$unsorted) % 29.24/29.41 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 29.24/29.41 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.c_Not $$unsorted) % 29.24/29.41 (define @t1 () (@var "T_a" $$unsorted)) % 29.24/29.41 (define @t2 () (@var "V_D" $$unsorted)) % 29.24/29.41 (define @t3 () (@var "V_x" $$unsorted)) % 29.24/29.41 (define @t4 () (tptp.hBOOL (tptp.c_in @t3 @t2 @t1))) % 29.24/29.41 (define @t5 () (@var "T_b" $$unsorted)) % 29.24/29.41 (define @t6 () (@var "V_m" $$unsorted)) % 29.24/29.41 (define @t7 () (tptp.c_Map_Orestrict__map @t6 @t2 @t1 @t5)) % 29.24/29.41 (define @t8 () (tptp.tc_Option_Ooption @t5)) % 29.24/29.41 (define @t9 () (tptp.c_Option_Ooption_ONone @t5)) % 29.24/29.41 (define @t10 () (tptp.c_Fun_Ofun__upd @t7 @t3 @t9 @t1 @t8)) % 29.24/29.41 (define @t11 () (@list @t6 @t2 @t1 @t5 @t3)) % 29.24/29.41 (define @t12 () (@var "V_y" $$unsorted)) % 29.24/29.41 (define @t13 () (@var "V_f" $$unsorted)) % 29.24/29.41 (define @t14 () (tptp.hAPP @t13 @t3)) % 29.24/29.41 (define @t15 () (tptp.c_Fun_Ofun__upd @t13 @t3 @t12 @t1 @t5)) % 29.24/29.41 (define @t16 () (tptp.hAPP @t13 @t12)) % 29.24/29.41 (define @t17 () (@var "T_c" $$unsorted)) % 29.24/29.41 (define @t18 () (@var "V_g" $$unsorted)) % 29.24/29.41 (define @t19 () (@var "V_c" $$unsorted)) % 29.24/29.41 (define @t20 () (@var "V_a" $$unsorted)) % 29.24/29.41 (define @t21 () (= @t20 @t19)) % 29.24/29.41 (define @t22 () (@var "V_b" $$unsorted)) % 29.24/29.41 (define @t23 () (@var "V_d" $$unsorted)) % 29.24/29.41 (define @t24 () (@var "V_z" $$unsorted)) % 29.24/29.41 (define @t25 () (@list @t13 @t3 @t12 @t1 @t5 @t24)) % 29.24/29.41 (define @t26 () (@list @t13 @t3 @t5 @t1)) % 29.24/29.41 (define @t27 () (tptp.c_Fun_Ofun__upd @t13 @t3 @t12 @t5 @t1)) % 29.24/29.41 (define @t28 () (@var "T_aa" $$unsorted)) % 29.24/29.41 (define @t29 () (= @t24 @t3)) % 29.24/29.41 (define @t30 () (tptp.hAPP @t13 @t24)) % 29.24/29.41 (define @t31 () (tptp.c_Map_Orestrict__map (tptp.c_Fun_Ofun__upd @t6 @t3 @t12 @t1 @t8) @t2 @t1 @t5)) % 29.24/29.41 (define @t32 () (@list @t6 @t3 @t12 @t1 @t5 @t2)) % 29.24/29.41 (define @t33 () (@var "V_A" $$unsorted)) % 29.24/29.41 (define @t34 () (tptp.c_Set_Oinsert @t1)) % 29.24/29.41 (define @t35 () (tptp.hAPP @t34 @t20)) % 29.24/29.41 (define @t36 () (tptp.hAPP @t35 @t33)) % 29.24/29.41 (define @t37 () (tptp.tc_fun @t1 tptp.tc_bool)) % 29.24/29.41 (define @t38 () (tptp.c_Orderings_Obot__class_Obot @t37)) % 29.24/29.41 (define @t39 () (tptp.hAPP @t34 @t3)) % 29.24/29.41 (define @t40 () (tptp.hAPP @t39 @t38)) % 29.24/29.41 (define @t41 () (tptp.c_Map_Orestrict__map @t6 (tptp.c_HOL_Ominus__class_Ominus @t2 @t40 @t37) @t1 @t5)) % 29.24/29.41 (define @t42 () (tptp.c_Fun_Ofun__upd @t41 @t3 @t12 @t1 @t8)) % 29.24/29.41 (define @t43 () (= (tptp.c_Fun_Ofun__upd @t7 @t3 @t12 @t1 @t8) @t42)) % 29.24/29.41 (define @t44 () (@list @t6 @t2 @t1 @t5 @t3 @t12)) % 29.24/29.41 (define @t45 () (not @t4)) % 29.24/29.41 (define @t46 () (@var "V_P" $$unsorted)) % 29.24/29.41 (define @t47 () (tptp.c_COMBI @t1)) % 29.24/29.41 (define @t48 () (@var "V_Q" $$unsorted)) % 29.24/29.41 (define @t49 () (@var "V_pname_H" $$unsorted)) % 29.24/29.41 (define @t50 () (tptp.c_Com_Ocom_OBODY @t49)) % 29.24/29.41 (define @t51 () (@var "V_com2" $$unsorted)) % 29.24/29.41 (define @t52 () (@var "V_com1" $$unsorted)) % 29.24/29.41 (define @t53 () (tptp.c_Com_Ocom_OSemi @t52 @t51)) % 29.24/29.41 (define @t54 () (@var "V_B" $$unsorted)) % 29.24/29.41 (define @t55 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t54 @t37)) % 29.24/29.41 (define @t56 () (@list @t33 @t54 @t1)) % 29.24/29.41 (define @t57 () (@var "V_xa" $$unsorted)) % 29.24/29.41 (define @t58 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 29.24/29.41 (define @t59 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 29.24/29.41 (define @t60 () (@var "V_y_H" $$unsorted)) % 29.24/29.41 (define @t61 () (@var "V_x_H" $$unsorted)) % 29.24/29.41 (define @t62 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t60 @t1)) % 29.24/29.41 (define @t63 () (@var "V_N" $$unsorted)) % 29.24/29.41 (define @t64 () (@var "V_M" $$unsorted)) % 29.24/29.41 (define @t65 () (not (tptp.c_lessequals @t64 @t63 @t37))) % 29.24/29.41 (define @t66 () (= @t64 @t38)) % 29.24/29.41 (define @t67 () (not (tptp.c_Finite__Set_Ofinite @t63 @t1))) % 29.24/29.41 (define @t68 () (not (tptp.class_Orderings_Olinorder @t1))) % 29.24/29.41 (define @t69 () (@var "V_C" $$unsorted)) % 29.24/29.41 (define @t70 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37)) % 29.24/29.41 (define @t71 () (tptp.hAPP @t70 @t33)) % 29.24/29.41 (define @t72 () (tptp.hAPP @t71 @t69)) % 29.24/29.41 (define @t73 () (tptp.hAPP @t70 @t54)) % 29.24/29.41 (define @t74 () (tptp.hAPP @t73 @t69)) % 29.24/29.41 (define @t75 () (tptp.hAPP @t71 @t74)) % 29.24/29.41 (define @t76 () (@list @t1 @t33 @t54 @t69)) % 29.24/29.41 (define @t77 () (tptp.hAPP @t71 @t54)) % 29.24/29.41 (define @t78 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t1)) % 29.24/29.41 (define @t79 () (tptp.hAPP @t78 @t12)) % 29.24/29.41 (define @t80 () (tptp.hAPP @t79 @t24)) % 29.24/29.41 (define @t81 () (tptp.hAPP @t78 @t3)) % 29.24/29.41 (define @t82 () (tptp.hAPP @t81 @t80)) % 29.24/29.41 (define @t83 () (tptp.hAPP @t81 @t12)) % 29.24/29.41 (define @t84 () (= (tptp.hAPP (tptp.hAPP @t78 @t83) @t24) @t82)) % 29.24/29.41 (define @t85 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 29.24/29.41 (define @t86 () (@list @t1 @t3 @t12 @t24)) % 29.24/29.41 (define @t87 () (tptp.hAPP @t81 @t24)) % 29.24/29.41 (define @t88 () (= @t82 (tptp.hAPP @t79 @t87))) % 29.24/29.41 (define @t89 () (not (tptp.class_Lattices_Olattice @t1))) % 29.24/29.41 (define @t90 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37)) % 29.24/29.41 (define @t91 () (tptp.hAPP @t90 @t33)) % 29.24/29.41 (define @t92 () (tptp.hAPP @t91 @t54)) % 29.24/29.41 (define @t93 () (tptp.hBOOL (tptp.c_in @t19 @t92 @t1))) % 29.24/29.41 (define @t94 () (not @t93)) % 29.24/29.41 (define @t95 () (tptp.hBOOL (tptp.c_in @t19 @t54 @t1))) % 29.24/29.41 (define @t96 () (@list @t19 @t54 @t1 @t33)) % 29.24/29.41 (define @t97 () (tptp.hBOOL (tptp.c_in @t19 @t33 @t1))) % 29.24/29.41 (define @t98 () (@list @t19 @t33 @t1 @t54)) % 29.24/29.41 (define @t99 () (tptp.c_Fun_Oinj__on @t13 @t33 @t1 @t5)) % 29.24/29.41 (define @t100 () (not @t99)) % 29.24/29.41 (define @t101 () (= @t3 @t12)) % 29.24/29.41 (define @t102 () (tptp.hBOOL (tptp.c_in @t3 @t33 @t1))) % 29.24/29.41 (define @t103 () (not @t102)) % 29.24/29.41 (define @t104 () (not (tptp.hBOOL (tptp.c_in @t12 @t33 @t1)))) % 29.24/29.41 (define @t105 () (not (= @t14 @t16))) % 29.24/29.41 (define @t106 () (@list @t13 @t3 @t12 @t33 @t1 @t5)) % 29.24/29.41 (define @t107 () (not (tptp.hBOOL (tptp.c_in @t57 @t33 @t1)))) % 29.24/29.41 (define @t108 () (tptp.c_lessequals @t33 @t54 @t37)) % 29.24/29.41 (define @t109 () (not @t108)) % 29.24/29.41 (define @t110 () (@list @t1 @t33 @t54)) % 29.24/29.41 (define @t111 () (not (tptp.c_lessequals @t54 @t33 @t37))) % 29.24/29.41 (define @t112 () (tptp.c_lessequals @t3 @t12 @t1)) % 29.24/29.41 (define @t113 () (not @t112)) % 29.24/29.41 (define @t114 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1)) % 29.24/29.41 (define @t115 () (tptp.hAPP @t114 @t3)) % 29.24/29.41 (define @t116 () (tptp.hAPP @t115 @t12)) % 29.24/29.41 (define @t117 () (= @t116 @t3)) % 29.24/29.41 (define @t118 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 29.24/29.41 (define @t119 () (@list @t1 @t3 @t12)) % 29.24/29.41 (define @t120 () (tptp.c_lessequals @t12 @t3 @t1)) % 29.24/29.41 (define @t121 () (not @t120)) % 29.24/29.41 (define @t122 () (tptp.c_lessequals @t33 @t69 @t37)) % 29.24/29.41 (define @t123 () (not @t122)) % 29.24/29.41 (define @t124 () (tptp.c_lessequals @t54 @t69 @t37)) % 29.24/29.41 (define @t125 () (not @t124)) % 29.24/29.41 (define @t126 () (tptp.c_lessequals @t77 @t69 @t37)) % 29.24/29.41 (define @t127 () (@list @t33 @t1 @t54)) % 29.24/29.41 (define @t128 () (tptp.c_lessequals @t20 @t3 @t1)) % 29.24/29.41 (define @t129 () (not @t128)) % 29.24/29.41 (define @t130 () (tptp.c_lessequals @t22 @t3 @t1)) % 29.24/29.41 (define @t131 () (not @t130)) % 29.24/29.41 (define @t132 () (tptp.hAPP @t78 @t20)) % 29.24/29.41 (define @t133 () (tptp.hAPP @t132 @t22)) % 29.24/29.41 (define @t134 () (tptp.c_lessequals @t133 @t3 @t1)) % 29.24/29.41 (define @t135 () (@list @t1 @t20 @t22 @t3)) % 29.24/29.41 (define @t136 () (tptp.c_lessequals @t3 @t83 @t1)) % 29.24/29.41 (define @t137 () (tptp.c_lessequals @t12 @t83 @t1)) % 29.24/29.41 (define @t138 () (@list @t1 @t12 @t3)) % 29.24/29.41 (define @t139 () (tptp.c_lessequals @t24 @t3 @t1)) % 29.24/29.41 (define @t140 () (@list @t1 @t12 @t24 @t3)) % 29.24/29.41 (define @t141 () (tptp.c_lessequals @t3 @t24 @t1)) % 29.24/29.41 (define @t142 () (not @t141)) % 29.24/29.41 (define @t143 () (tptp.c_lessequals @t12 @t24 @t1)) % 29.24/29.41 (define @t144 () (not @t143)) % 29.24/29.41 (define @t145 () (tptp.c_lessequals @t83 @t24 @t1)) % 29.24/29.41 (define @t146 () (tptp.hAPP @t90 @t54)) % 29.24/29.41 (define @t147 () (tptp.hAPP @t146 @t33)) % 29.24/29.41 (define @t148 () (tptp.hAPP @t114 @t12)) % 29.24/29.41 (define @t149 () (tptp.hAPP @t148 @t3)) % 29.24/29.41 (define @t150 () (= @t116 @t149)) % 29.24/29.41 (define @t151 () (@var "V_top" $$unsorted)) % 29.24/29.41 (define @t152 () (@var "V_bot" $$unsorted)) % 29.24/29.41 (define @t153 () (@var "V_sup" $$unsorted)) % 29.24/29.41 (define @t154 () (@var "V_inf" $$unsorted)) % 29.24/29.41 (define @t155 () (@var "V_less" $$unsorted)) % 29.24/29.41 (define @t156 () (@var "V_less__eq" $$unsorted)) % 29.24/29.41 (define @t157 () (@var "V_Sup" $$unsorted)) % 29.24/29.41 (define @t158 () (@var "V_Inf" $$unsorted)) % 29.24/29.41 (define @t159 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t1))) % 29.24/29.41 (define @t160 () (tptp.c_HOL_Ominus__class_Ominus @t54 @t33 @t37)) % 29.24/29.41 (define @t161 () (tptp.hAPP @t71 @t160)) % 29.24/29.41 (define @t162 () (@var "V_com2_H" $$unsorted)) % 29.24/29.41 (define @t163 () (@var "V_com1_H" $$unsorted)) % 29.24/29.41 (define @t164 () (@var "V_fun_H" $$unsorted)) % 29.24/29.41 (define @t165 () (tptp.c_Com_Ocom_OCond @t164 @t163 @t162)) % 29.24/29.41 (define @t166 () (@list @t164 @t163 @t162)) % 29.24/29.41 (define @t167 () (tptp.hAPP @t115 @t80)) % 29.24/29.41 (define @t168 () (tptp.hAPP @t115 @t24)) % 29.24/29.41 (define @t169 () (tptp.hAPP (tptp.hAPP @t78 @t116) @t168)) % 29.24/29.41 (define @t170 () (tptp.hAPP @t70 @t69)) % 29.24/29.41 (define @t171 () (tptp.hAPP @t170 @t33)) % 29.24/29.41 (define @t172 () (tptp.hAPP @t90 @t77)) % 29.24/29.41 (define @t173 () (tptp.hAPP @t90 @t69)) % 29.24/29.41 (define @t174 () (tptp.hAPP @t173 @t33)) % 29.24/29.41 (define @t175 () (tptp.hAPP @t146 @t69)) % 29.24/29.41 (define @t176 () (tptp.hAPP @t70 @t92)) % 29.24/29.41 (define @t177 () (tptp.hBOOL (tptp.hAPP @t46 @t20))) % 29.24/29.41 (define @t178 () (tptp.c_Collect @t46 @t1)) % 29.24/29.41 (define @t179 () (tptp.hBOOL (tptp.c_in @t20 @t178 @t1))) % 29.24/29.41 (define @t180 () (not @t97)) % 29.24/29.41 (define @t181 () (tptp.hBOOL (tptp.c_in @t19 @t55 @t1))) % 29.24/29.41 (define @t182 () (tptp.hAPP @t39 @t33)) % 29.24/29.41 (define @t183 () (tptp.c_lessequals @t182 @t54 @t37)) % 29.24/29.41 (define @t184 () (not @t183)) % 29.24/29.41 (define @t185 () (tptp.hBOOL (tptp.c_in @t3 @t54 @t1))) % 29.24/29.41 (define @t186 () (@list @t3 @t54 @t1 @t33)) % 29.24/29.41 (define @t187 () (tptp.tc_fun @t5 tptp.tc_bool)) % 29.24/29.41 (define @t188 () (tptp.c_Orderings_Obot__class_Obot @t187)) % 29.24/29.41 (define @t189 () (tptp.c_COMBK @t19 @t37 @t5)) % 29.24/29.41 (define @t190 () (= @t33 @t38)) % 29.24/29.41 (define @t191 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t5))) % 29.24/29.41 (define @t192 () (@var "V_R" $$unsorted)) % 29.24/29.41 (define @t193 () (@var "V_S" $$unsorted)) % 29.24/29.41 (define @t194 () (tptp.hBOOL (tptp.c_in @t3 @t193 @t1))) % 29.24/29.41 (define @t195 () (tptp.hBOOL (tptp.hAPP @t193 @t3))) % 29.24/29.41 (define @t196 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t188 @t54 @t5 @t37)) % 29.24/29.41 (define @t197 () (tptp.c_Fun_Oid @t1)) % 29.24/29.41 (define @t198 () (@list @t1 @t33)) % 29.24/29.41 (define @t199 () (@list @t1 @t3)) % 29.24/29.41 (define @t200 () (tptp.c_Fun_Oid @t5)) % 29.24/29.41 (define @t201 () (@list @t13 @t1 @t5)) % 29.24/29.41 (define @t202 () (tptp.hBOOL (tptp.c_in @t3 (tptp.hAPP @t91 @t178) @t1))) % 29.24/29.41 (define @t203 () (not @t202)) % 29.24/29.41 (define @t204 () (tptp.hBOOL (tptp.hAPP @t46 @t3))) % 29.24/29.41 (define @t205 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 29.24/29.41 (define @t206 () (tptp.hAPP @t91 @t69)) % 29.24/29.41 (define @t207 () (tptp.hAPP @t91 @t74)) % 29.24/29.41 (define @t208 () (@list @t1 @t54 @t69 @t33)) % 29.24/29.41 (define @t209 () (tptp.hAPP @t18 tptp.v_x)) % 29.24/29.41 (define @t210 () (tptp.hAPP @t13 tptp.v_x)) % 29.24/29.41 (define @t211 () (tptp.tc_fun tptp.t_a @t5)) % 29.24/29.41 (define @t212 () (not (tptp.class_Lattices_Olattice @t5))) % 29.24/29.41 (define @t213 () (@list @t5 @t13 @t18)) % 29.24/29.41 (define @t214 () (not (= @t92 @t38))) % 29.24/29.41 (define @t215 () (tptp.hAPP @t39 @t54)) % 29.24/29.41 (define @t216 () (tptp.c_lessequals @t33 @t215 @t37)) % 29.24/29.41 (define @t217 () (not @t216)) % 29.24/29.41 (define @t218 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t33 @t40 @t37) @t54 @t37)) % 29.24/29.41 (define @t219 () (@list @t33 @t1 @t3 @t54)) % 29.24/29.41 (define @t220 () (not @t218)) % 29.24/29.41 (define @t221 () (@var "V_i" $$unsorted)) % 29.24/29.41 (define @t222 () (tptp.hBOOL (tptp.c_in @t20 @t33 @t1))) % 29.24/29.41 (define @t223 () (not @t222)) % 29.24/29.41 (define @t224 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t54 @t1 @t187)) % 29.24/29.41 (define @t225 () (tptp.hAPP @t54 @t20)) % 29.24/29.41 (define @t226 () (not @t185)) % 29.24/29.41 (define @t227 () (tptp.c_HOL_Ominus__class_Ominus @t182 @t54 @t37)) % 29.24/29.41 (define @t228 () (@list @t1 @t3 @t33 @t54)) % 29.24/29.41 (define @t229 () (@var "V_com_H" $$unsorted)) % 29.24/29.41 (define @t230 () (tptp.c_Com_Ocom_OWhile @t164 @t229)) % 29.24/29.41 (define @t231 () (@list @t164 @t229)) % 29.24/29.41 (define @t232 () (tptp.c_Finite__Set_Ofinite @t33 @t1)) % 29.24/29.41 (define @t233 () (not @t232)) % 29.24/29.41 (define @t234 () (tptp.c_Finite__Set_Ofold1 @t114 @t33 @t1)) % 29.24/29.41 (define @t235 () (@var "V_com" $$unsorted)) % 29.24/29.41 (define @t236 () (@var "V_fun" $$unsorted)) % 29.24/29.41 (define @t237 () (tptp.c_Com_Ocom_OWhile @t236 @t235)) % 29.24/29.41 (define @t238 () (tptp.c_Finite__Set_Ofinite @t55 @t1)) % 29.24/29.41 (define @t239 () (tptp.c_Complete__Lattice_OInf__class_OInf @t33 @t1)) % 29.24/29.41 (define @t240 () (tptp.hAPP @t114 @t20)) % 29.24/29.41 (define @t241 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 29.24/29.41 (define @t242 () (@list @t1 @t20 @t33)) % 29.24/29.41 (define @t243 () (@list @t1)) % 29.24/29.41 (define @t244 () (= @t51 @t162)) % 29.24/29.41 (define @t245 () (tptp.c_Com_Ocom_OSemi @t163 @t162)) % 29.24/29.41 (define @t246 () (not (= @t53 @t245))) % 29.24/29.41 (define @t247 () (@list @t52 @t51 @t163 @t162)) % 29.24/29.41 (define @t248 () (= @t52 @t163)) % 29.24/29.41 (define @t249 () (tptp.c_Complete__Lattice_OSup__class_OSup @t33 @t1)) % 29.24/29.41 (define @t250 () (not (tptp.c_Finite__Set_Ofinite @t54 @t1))) % 29.24/29.41 (define @t251 () (not @t238)) % 29.24/29.41 (define @t252 () (tptp.hAPP @t54 @t3)) % 29.24/29.41 (define @t253 () (not (tptp.hBOOL (tptp.c_in @t3 @t33 @t5)))) % 29.24/29.41 (define @t254 () (= @t252 @t38)) % 29.24/29.41 (define @t255 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t54 @t5 @t37)) % 29.24/29.41 (define @t256 () (tptp.c_Com_Ocom_OCond @t236 @t52 @t51)) % 29.24/29.41 (define @t257 () (not @t181)) % 29.24/29.41 (define @t258 () (not @t95)) % 29.24/29.41 (define @t259 () (@var "V_I" $$unsorted)) % 29.24/29.41 (define @t260 () (tptp.hAPP @t33 @t3)) % 29.24/29.41 (define @t261 () (tptp.c_fequal @t1)) % 29.24/29.41 (define @t262 () (tptp.hAPP (tptp.c_COMBC @t261 @t1 @t1 tptp.tc_bool) @t20)) % 29.24/29.41 (define @t263 () (@list @t1 @t20)) % 29.24/29.41 (define @t264 () (@var "V_k" $$unsorted)) % 29.24/29.41 (define @t265 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t259 @t33 @t1 @t187)) % 29.24/29.41 (define @t266 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t187)) % 29.24/29.41 (define @t267 () (not (= @t256 @t165))) % 29.24/29.41 (define @t268 () (@list @t236 @t52 @t51 @t164 @t163 @t162)) % 29.24/29.41 (define @t269 () (= @t236 @t164)) % 29.24/29.41 (define @t270 () (@var "V_F" $$unsorted)) % 29.24/29.41 (define @t271 () (tptp.c_Finite__Set_Ofinite @t270 @t1)) % 29.24/29.41 (define @t272 () (not @t271)) % 29.24/29.41 (define @t273 () (@var "V_G" $$unsorted)) % 29.24/29.41 (define @t274 () (tptp.c_Finite__Set_Ofinite @t273 @t1)) % 29.24/29.41 (define @t275 () (not @t274)) % 29.24/29.41 (define @t276 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t70 @t270) @t273) @t1)) % 29.24/29.41 (define @t277 () (@list @t1 @t270 @t273)) % 29.24/29.41 (define @t278 () (tptp.c_lessequals @t19 @t20 @t1)) % 29.24/29.41 (define @t279 () (tptp.c_lessequals @t22 @t23 @t1)) % 29.24/29.41 (define @t280 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t20 @t22 @t1)) % 29.24/29.41 (define @t281 () (tptp.c_lessequals @t280 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t19 @t23 @t1) @t37)) % 29.24/29.41 (define @t282 () (not (tptp.class_Orderings_Oorder @t1))) % 29.24/29.41 (define @t283 () (@list @t1 @t20 @t22 @t19 @t23)) % 29.24/29.41 (define @t284 () (not @t281)) % 29.24/29.41 (define @t285 () (tptp.c_lessequals @t20 @t22 @t1)) % 29.24/29.41 (define @t286 () (not @t285)) % 29.24/29.41 (define @t287 () (tptp.c_lessequals @t69 @t33 @t37)) % 29.24/29.41 (define @t288 () (= (tptp.hAPP @t176 @t69) @t207)) % 29.24/29.41 (define @t289 () (not @t287)) % 29.24/29.41 (define @t290 () (tptp.c_Map_Orestrict__map @t6 @t33 @t1 @t5)) % 29.24/29.41 (define @t291 () (tptp.hAPP @t290 @t3)) % 29.24/29.41 (define @t292 () (@list @t6 @t33 @t1 @t5 @t3)) % 29.24/29.41 (define @t293 () (tptp.hAPP @t18 @t3)) % 29.24/29.41 (define @t294 () (tptp.hAPP @t13 @t293)) % 29.24/29.41 (define @t295 () (tptp.hAPP (tptp.c_Fun_Ocomp @t13 @t18 @t5 @t1 @t17) @t3)) % 29.24/29.41 (define @t296 () (@var "V_v" $$unsorted)) % 29.24/29.41 (define @t297 () (tptp.c_Fun_Ocomp @t20 @t22 @t17 @t5 @t1)) % 29.24/29.41 (define @t298 () (tptp.hAPP @t20 (tptp.hAPP @t22 @t296))) % 29.24/29.41 (define @t299 () (tptp.hBOOL (tptp.hAPP @t77 @t3))) % 29.24/29.41 (define @t300 () (tptp.hBOOL @t260)) % 29.24/29.41 (define @t301 () (tptp.hBOOL @t252)) % 29.24/29.41 (define @t302 () (not @t301)) % 29.24/29.41 (define @t303 () (@list @t1 @t33 @t54 @t3)) % 29.24/29.41 (define @t304 () (not @t300)) % 29.24/29.41 (define @t305 () (tptp.hBOOL (tptp.c_in @t19 @t77 @t1))) % 29.24/29.41 (define @t306 () (tptp.hAPP @t148 @t24)) % 29.24/29.41 (define @t307 () (tptp.hAPP @t115 @t306)) % 29.24/29.41 (define @t308 () (= (tptp.hAPP (tptp.hAPP @t114 @t116) @t24) @t307)) % 29.24/29.41 (define @t309 () (= @t307 (tptp.hAPP @t148 @t168))) % 29.24/29.41 (define @t310 () (tptp.hAPP @t91 @t175)) % 29.24/29.41 (define @t311 () (not @t276)) % 29.24/29.41 (define @t312 () (tptp.c_HOL_Ominus__class_Ominus @t206 @t175 @t37)) % 29.24/29.41 (define @t313 () (tptp.hAPP @t90 @t55)) % 29.24/29.41 (define @t314 () (tptp.hAPP (tptp.hAPP @t114 @t83) @t87)) % 29.24/29.41 (define @t315 () (tptp.hAPP @t81 @t306)) % 29.24/29.41 (define @t316 () (= @t33 @t54)) % 29.24/29.41 (define @t317 () (tptp.hAPP @t70 @t55)) % 29.24/29.41 (define @t318 () (= @t83 @t12)) % 29.24/29.41 (define @t319 () (@list @t33 @t54 @t1 @t3)) % 29.24/29.41 (define @t320 () (tptp.hAPP @t35 @t54)) % 29.24/29.41 (define @t321 () (tptp.hAPP @t91 @t320)) % 29.24/29.41 (define @t322 () (@list @t1 @t33 @t20 @t54)) % 29.24/29.41 (define @t323 () (tptp.hBOOL (tptp.c_in @t20 @t69 @t1))) % 29.24/29.41 (define @t324 () (tptp.hAPP (tptp.hAPP @t90 @t320) @t69)) % 29.24/29.41 (define @t325 () (@list @t1 @t20 @t54 @t69)) % 29.24/29.41 (define @t326 () (tptp.hAPP @t73 @t33)) % 29.24/29.41 (define @t327 () (tptp.c_lessequals @t69 @t92 @t37)) % 29.24/29.41 (define @t328 () (not @t327)) % 29.24/29.41 (define @t329 () (tptp.c_lessequals @t69 @t54 @t37)) % 29.24/29.41 (define @t330 () (tptp.hAPP @t240 @t22)) % 29.24/29.41 (define @t331 () (tptp.c_lessequals @t3 @t330 @t1)) % 29.24/29.41 (define @t332 () (not @t331)) % 29.24/29.41 (define @t333 () (tptp.c_lessequals @t3 @t20 @t1)) % 29.24/29.41 (define @t334 () (@list @t1 @t3 @t20 @t22)) % 29.24/29.41 (define @t335 () (tptp.c_lessequals @t3 @t22 @t1)) % 29.24/29.41 (define @t336 () (tptp.c_lessequals @t330 @t3 @t1)) % 29.24/29.41 (define @t337 () (tptp.c_lessequals @t3 @t306 @t1)) % 29.24/29.41 (define @t338 () (not @t337)) % 29.24/29.41 (define @t339 () (@list @t1 @t3 @t24 @t12)) % 29.24/29.41 (define @t340 () (tptp.c_HOL_Ominus__class_Ominus @t54 @t69 @t37)) % 29.24/29.41 (define @t341 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t69 @t37)) % 29.24/29.41 (define @t342 () (tptp.c_Collect @t262 @t1)) % 29.24/29.41 (define @t343 () (tptp.hAPP @t158 @t33)) % 29.24/29.41 (define @t344 () (tptp.hAPP @t157 @t33)) % 29.24/29.41 (define @t345 () (tptp.hAPP @t79 @t3)) % 29.24/29.41 (define @t346 () (= @t83 @t345)) % 29.24/29.41 (define @t347 () (@var "V_pname" $$unsorted)) % 29.24/29.41 (define @t348 () (not (= @t237 @t230))) % 29.24/29.41 (define @t349 () (@list @t236 @t235 @t164 @t229)) % 29.24/29.41 (define @t350 () (= @t235 @t229)) % 29.24/29.41 (define @t351 () (= (tptp.hAPP @t81 @t83) @t83)) % 29.24/29.41 (define @t352 () (tptp.hBOOL (tptp.hAPP @t224 @t22))) % 29.24/29.41 (define @t353 () (@list @t49)) % 29.24/29.41 (define @t354 () (tptp.hBOOL (tptp.hAPP @t92 @t3))) % 29.24/29.41 (define @t355 () (not @t354)) % 29.24/29.41 (define @t356 () (not (tptp.c_Fun_Oinj__on @t13 @t77 @t1 @t5))) % 29.24/29.41 (define @t357 () (tptp.c_Fun_Oinj__on @t13 @t54 @t1 @t5)) % 29.24/29.41 (define @t358 () (@list @t13 @t33 @t1 @t5 @t54)) % 29.24/29.41 (define @t359 () (tptp.c_lessequals @t33 @t74 @t37)) % 29.24/29.41 (define @t360 () (tptp.c_lessequals @t55 @t69 @t37)) % 29.24/29.41 (define @t361 () (@list @t33 @t1 @t54 @t69)) % 29.24/29.41 (define @t362 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t90 @t270) @t273) @t1)) % 29.24/29.41 (define @t363 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 29.24/29.41 (define @t364 () (tptp.tc_fun @t363 tptp.tc_bool)) % 29.24/29.41 (define @t365 () (tptp.c_Orderings_Obot__class_Obot @t364)) % 29.24/29.41 (define @t366 () (tptp.c_Hoare__Mirabelle_Opeek__and @t46 @t22 @t1)) % 29.24/29.41 (define @t367 () (tptp.c_Set_Oinsert @t363)) % 29.24/29.41 (define @t368 () (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t366 @t19 @t46 @t1)) @t365)) % 29.24/29.41 (define @t369 () (tptp.c_Hoare__Mirabelle_Opeek__and @t46 (tptp.c_Fun_Ocomp tptp.c_Not @t22 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t1)) % 29.24/29.41 (define @t370 () (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 (tptp.c_Com_Ocom_OWhile @t22 @t19) @t369 @t1)) @t365)) % 29.24/29.41 (define @t371 () (@list @t273 @t1 @t46 @t22 @t19)) % 29.24/29.41 (define @t372 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 29.24/29.41 (define @t373 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 29.24/29.41 (define @t374 () (not (= (tptp.hAPP (tptp.hAPP @t78 @t33) @t54) @t372))) % 29.24/29.41 (define @t375 () (tptp.hAPP @t70 @t38)) % 29.24/29.41 (define @t376 () (not @t204)) % 29.24/29.41 (define @t377 () (not (tptp.hBOOL (tptp.c_in @t3 @t38 @t1)))) % 29.24/29.41 (define @t378 () (@list @t3 @t1)) % 29.24/29.41 (define @t379 () (@list @t46 @t3 @t1)) % 29.24/29.41 (define @t380 () (@list @t33 @t1)) % 29.24/29.41 (define @t381 () (@list @t13 @t1 @t3)) % 29.24/29.41 (define @t382 () (@list @t1 @t54)) % 29.24/29.41 (define @t383 () (not (= @t77 @t38))) % 29.24/29.41 (define @t384 () (tptp.hAPP @t35 @t38)) % 29.24/29.41 (define @t385 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t384 @t37)) % 29.24/29.41 (define @t386 () (tptp.hAPP @t35 @t385)) % 29.24/29.41 (define @t387 () (tptp.hAPP @t34 @t22)) % 29.24/29.41 (define @t388 () (tptp.hAPP @t387 @t38)) % 29.24/29.41 (define @t389 () (tptp.hAPP @t35 @t388)) % 29.24/29.41 (define @t390 () (@list @t1 @t20 @t22)) % 29.24/29.41 (define @t391 () (@list @t1 @t3 @t33)) % 29.24/29.41 (define @t392 () (tptp.hBOOL (tptp.c_in @t20 (tptp.hAPP @t387 @t33) @t1))) % 29.24/29.41 (define @t393 () (tptp.hAPP @t387 @t54)) % 29.24/29.41 (define @t394 () (tptp.hAPP @t154 @t20)) % 29.24/29.41 (define @t395 () (tptp.hAPP @t153 @t20)) % 29.24/29.41 (define @t396 () (= @t20 @t22)) % 29.24/29.41 (define @t397 () (tptp.c_Finite__Set_Ofinite @t36 @t1)) % 29.24/29.41 (define @t398 () (= @t77 @t54)) % 29.24/29.41 (define @t399 () (@list @t1 @t33 @t3)) % 29.24/29.41 (define @t400 () (= @t38 @t280)) % 29.24/29.41 (define @t401 () (tptp.hAPP @t35 @t92)) % 29.24/29.41 (define @t402 () (not (tptp.c_lessequals @t54 @t2 @t37))) % 29.24/29.41 (define @t403 () (@list @t1 @t33 @t54 @t69 @t2)) % 29.24/29.41 (define @t404 () (tptp.c_lessequals @t116 @t3 @t1)) % 29.24/29.41 (define @t405 () (tptp.c_lessequals @t116 @t12 @t1)) % 29.24/29.41 (define @t406 () (not @t333)) % 29.24/29.41 (define @t407 () (not @t335)) % 29.24/29.41 (define @t408 () (@var "T_d" $$unsorted)) % 29.24/29.41 (define @t409 () (@var "V_h" $$unsorted)) % 29.24/29.41 (define @t410 () (@list @t163 @t162)) % 29.24/29.41 (define @t411 () (= (tptp.hAPP @t115 @t116) @t116)) % 29.24/29.41 (define @t412 () (not (tptp.c_Finite__Set_Ofun__left__comm__idem @t13 @t1 @t5))) % 29.24/29.41 (define @t413 () (tptp.hAPP @t14 @t24)) % 29.24/29.41 (define @t414 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t320 @t37)) % 29.24/29.41 (define @t415 () (tptp.c_Finite__Set_Ofinite @t414 @t1)) % 29.24/29.41 (define @t416 () (@list @t33 @t1 @t20 @t54)) % 29.24/29.41 (define @t417 () (@list @t19 @t1 @t33 @t54)) % 29.24/29.41 (define @t418 () (not @t145)) % 29.24/29.41 (define @t419 () (tptp.c_lessequals @t3 @t133 @t1)) % 29.24/29.41 (define @t420 () (not @t134)) % 29.24/29.41 (define @t421 () (not @t126)) % 29.24/29.41 (define @t422 () (@list @t33 @t69 @t1 @t54)) % 29.24/29.41 (define @t423 () (tptp.c_Finite__Set_Olinorder__class_OMax @t33 @t1)) % 29.24/29.41 (define @t424 () (not (tptp.class_Orderings_Opreorder @t1))) % 29.24/29.41 (define @t425 () (@var "V_t" $$unsorted)) % 29.24/29.41 (define @t426 () (not (tptp.c_lessequals @t46 @t48 @t37))) % 29.24/29.41 (define @t427 () (tptp.hBOOL (tptp.hAPP @t48 @t3))) % 29.24/29.41 (define @t428 () (@list @t48 @t3 @t46 @t1)) % 29.24/29.41 (define @t429 () (tptp.c_lessequals @t3 @t3 @t1)) % 29.24/29.41 (define @t430 () (= @t280 @t38)) % 29.24/29.41 (define @t431 () (tptp.c_Finite__Set_Olinorder__class_OMin @t33 @t1)) % 29.24/29.41 (define @t432 () (@var "T_e" $$unsorted)) % 29.24/29.41 (define @t433 () (@var "V_g_H" $$unsorted)) % 29.24/29.41 (define @t434 () (@var "V_f_H" $$unsorted)) % 29.24/29.41 (define @t435 () (tptp.hAPP @t261 @t3)) % 29.24/29.41 (define @t436 () (tptp.c_lessequals @t60 @t61 @t1)) % 29.24/29.41 (define @t437 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t12 @t1) @t62))) % 29.24/29.41 (define @t438 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 29.24/29.41 (define @t439 () (@list @t1 @t3 @t12 @t61 @t60)) % 29.24/29.41 (define @t440 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 29.24/29.41 (define @t441 () (@list @t13 @t18 @t17 @t5)) % 29.24/29.41 (define @t442 () (@var "V_xc" $$unsorted)) % 29.24/29.41 (define @t443 () (@var "V_xb" $$unsorted)) % 29.24/29.41 (define @t444 () (@var "V_f1" $$unsorted)) % 29.24/29.41 (define @t445 () (@var "V_fun2" $$unsorted)) % 29.24/29.41 (define @t446 () (@var "V_fun1" $$unsorted)) % 29.24/29.41 (define @t447 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t444 @t446) @t235) @t445)) % 29.24/29.41 (define @t448 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t446 @t235 @t445 @t5)) % 29.24/29.41 (define @t449 () (@list @t444 @t446 @t235 @t445 @t5 @t1)) % 29.24/29.41 (define @t450 () (@var "V_ts_H" $$unsorted)) % 29.24/29.41 (define @t451 () (@var "V_ts" $$unsorted)) % 29.24/29.41 (define @t452 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t451 @t1)) % 29.24/29.41 (define @t453 () (@var "V_G_H" $$unsorted)) % 29.24/29.41 (define @t454 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t453 @t451 @t1))) % 29.24/29.41 (define @t455 () (@list @t273 @t451 @t1 @t453)) % 29.24/29.41 (define @t456 () (not @t452)) % 29.24/29.41 (define @t457 () (@list @t273 @t451 @t1)) % 29.24/29.41 (define @t458 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 29.24/29.41 (define @t459 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t458 tptp.tc_bool))) % 29.24/29.41 (define @t460 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 29.24/29.41 (define @t461 () (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t273 @t46 @t48 @t19)) % 29.24/29.41 (define @t462 () (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t273 @t46 @t48 @t19)) % 29.24/29.41 (define @t463 () (tptp.c_Set_Oinsert @t458)) % 29.24/29.41 (define @t464 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 @t19 @t48 tptp.t_a)) @t459) tptp.t_a)) % 29.24/29.41 (define @t465 () (@list @t273 @t46 @t19 @t48)) % 29.24/29.41 (define @t466 () (tptp.c_COMBK tptp.c_False tptp.tc_bool tptp.tc_Com_Ostate)) % 29.24/29.41 (define @t467 () (@var "V_pn" $$unsorted)) % 29.24/29.41 (define @t468 () (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 (tptp.c_Option_Othe (tptp.c_Com_Obody @t467) tptp.tc_Com_Ocom) @t48 @t1)) @t365)) % 29.24/29.41 (define @t469 () (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 (tptp.c_Com_Ocom_OBODY @t467) @t48 @t1))) % 29.24/29.41 (define @t470 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP @t469 @t365) @t1)) % 29.24/29.41 (define @t471 () (@list @t273 @t1 @t46 @t467 @t48)) % 29.24/29.41 (define @t472 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t40 @t1)) % 29.24/29.41 (define @t473 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t3 @t19 @t57 tptp.t_a)) @t459) tptp.t_a))) % 29.24/29.41 (define @t474 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t273 @t46 @t48 @t19)) % 29.24/29.41 (define @t475 () (@var "V_Z_H" $$unsorted)) % 29.24/29.41 (define @t476 () (tptp.hAPP @t3 @t475)) % 29.24/29.41 (define @t477 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t273 @t46 @t48 @t19 @t3 @t57)) % 29.24/29.41 (define @t478 () (tptp.hAPP @t57 @t475)) % 29.24/29.41 (define @t479 () (@list @t273 @t46 @t19 @t48 @t57 @t475 @t3)) % 29.24/29.41 (define @t480 () (@var "V_Q_H" $$unsorted)) % 29.24/29.41 (define @t481 () (@var "V_P_H" $$unsorted)) % 29.24/29.41 (define @t482 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t481 @t19 @t480 tptp.t_a)) @t459) tptp.t_a))) % 29.24/29.41 (define @t483 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t46 @t481 @t48 @t480)) % 29.24/29.41 (define @t484 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t46 @t481 @t48 @t480)) % 29.24/29.41 (define @t485 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t273 @t46 @t48 @t19)) % 29.24/29.41 (define @t486 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t273 @t46 @t48 @t19 @t3 @t57)) % 29.24/29.41 (define @t487 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t273 @t46 @t48 @t19)) % 29.24/29.41 (define @t488 () (@list @t273 @t46 @t19 @t48 @t3 @t57)) % 29.24/29.41 (define @t489 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t273 @t46 @t48 @t19)) % 29.24/29.41 (define @t490 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 @t19 @t480 tptp.t_a)) @t459) tptp.t_a))) % 29.24/29.41 (define @t491 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 @t48 @t480)) % 29.24/29.41 (define @t492 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 @t48 @t480)) % 29.24/29.41 (define @t493 () (@list @t273 @t46 @t19 @t48 @t480)) % 29.24/29.41 (define @t494 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t46 @t481 @t48 @t480)) % 29.24/29.41 (define @t495 () (@list @t273 @t46 @t19 @t48 @t481 @t480)) % 29.24/29.41 (define @t496 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t481 @t19 @t48 tptp.t_a)) @t459) tptp.t_a))) % 29.24/29.41 (define @t497 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t46 @t481)) % 29.24/29.41 (define @t498 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t46 @t481)) % 29.24/29.41 (define @t499 () (@list @t273 @t46 @t19 @t48 @t481)) % 29.24/29.41 (define @t500 () (tptp.hAPP @t367 @t425)) % 29.24/29.41 (define @t501 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP @t500 @t365) @t1)) % 29.24/29.41 (define @t502 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP @t500 @t451) @t1)) % 29.24/29.41 (define @t503 () (@list @t273 @t1 @t425 @t451)) % 29.24/29.41 (define @t504 () (not @t502)) % 29.24/29.41 (define @t505 () (@var "V_fun2_H" $$unsorted)) % 29.24/29.41 (define @t506 () (@var "V_fun1_H" $$unsorted)) % 29.24/29.41 (define @t507 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t446 @t235 @t445 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t506 @t229 @t505 @t1)))) % 29.24/29.41 (define @t508 () (@list @t446 @t235 @t445 @t1 @t506 @t229 @t505)) % 29.24/29.41 (define @t509 () (= @t22 @t23)) % 29.24/29.41 (define @t510 () (= @t22 @t19)) % 29.24/29.41 (define @t511 () (not (= @t389 (tptp.hAPP (tptp.hAPP @t34 @t19) (tptp.hAPP (tptp.hAPP @t34 @t23) @t38))))) % 29.24/29.41 (define @t512 () (= @t20 @t23)) % 29.24/29.41 (define @t513 () (tptp.hAPP @t34 @t12)) % 29.24/29.41 (define @t514 () (tptp.hAPP @t513 @t33)) % 29.24/29.41 (define @t515 () (tptp.hBOOL (tptp.hAPP @t514 @t3))) % 29.24/29.41 (define @t516 () (tptp.hAPP @t34 @t57)) % 29.24/29.41 (define @t517 () (forall (@list @t443 @t442) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t443 tptp.v_c @t442 tptp.t_a)) @t459) tptp.t_a)))) % 29.24/29.41 (define @t518 () (@var "T_1" $$unsorted)) % 29.24/29.41 (define @t519 () (@var "T_2" $$unsorted)) % 29.24/29.41 (define @t520 () (tptp.tc_fun @t519 @t518)) % 29.24/29.41 (define @t521 () (@list @t519 @t518)) % 29.24/29.41 (define @t522 () (not (tptp.class_Lattices_Olattice @t518))) % 29.24/29.41 (define @t523 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t518))) % 29.24/29.41 (define @t524 () (@var "V_Y" $$unsorted)) % 29.24/29.41 (define @t525 () (@var "V_X" $$unsorted)) % 29.24/29.41 (define @t526 () (tptp.c_COMBK @t466 @t460 tptp.t_a)) % 29.24/29.41 (define @t527 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t526 tptp.v_c tptp.v_x tptp.t_a)) @t459) tptp.t_a)) % 29.24/29.41 (assume @p1 (forall @t11 (or (= @t10 @t7) @t4))) % 29.24/29.41 (assume @p2 (forall (@list @t13 @t3 @t12 @t1 @t5) (or (not (= @t15 @t13)) (= @t14 @t12)))) % 29.24/29.41 (assume @p3 (forall (@list @t13 @t18 @t3 @t12 @t1 @t17 @t5) (= (tptp.c_Fun_Ocomp @t13 (tptp.c_Fun_Ofun__upd @t18 @t3 @t12 @t1 @t17) @t17 @t5 @t1) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ocomp @t13 @t18 @t17 @t5 @t1) @t3 @t16 @t1 @t5)))) % 29.24/29.41 (assume @p4 (forall (@list @t6 @t20 @t22 @t1 @t5 @t19 @t23) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t6 @t20 @t22 @t1 @t5) @t19 @t23 @t1 @t5) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t6 @t19 @t23 @t1 @t5) @t20 @t22 @t1 @t5)) @t21))) % 29.24/29.41 (assume @p5 (forall @t25 (= (tptp.c_Fun_Ofun__upd @t15 @t3 @t24 @t1 @t5) (tptp.c_Fun_Ofun__upd @t13 @t3 @t24 @t1 @t5)))) % 29.24/29.41 (assume @p6 (forall @t26 (= (tptp.c_Fun_Ofun__upd @t13 @t3 @t14 @t5 @t1) @t13))) % 29.24/29.41 (assume @p7 (forall (@list @t13 @t3 @t12 @t5 @t1) (= (tptp.hAPP @t27 @t3) @t12))) % 29.24/29.41 (assume @p8 (forall (@list @t13 @t3 @t1 @t5) (= (tptp.c_Fun_Ofun__upd @t13 @t3 @t14 @t1 @t5) @t13))) % 29.24/29.41 (assume @p9 (forall (@list @t13 @t3 @t12 @t1 @t28) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t13 @t3 @t12 @t1 @t28) @t3) @t12))) % 29.24/29.41 (assume @p10 (forall (@list @t13 @t3 @t28 @t1) (= (tptp.c_Fun_Ofun__upd @t13 @t3 @t14 @t28 @t1) @t13))) % 29.24/29.41 (assume @p11 (forall (@list @t13 @t3 @t12 @t5 @t1 @t24) (or (= (tptp.hAPP @t27 @t24) @t30) @t29))) % 29.24/29.41 (assume @p12 (forall @t25 (or (= (tptp.hAPP @t15 @t24) @t30) @t29))) % 29.24/29.41 (assume @p13 (forall @t32 (or (= @t31 @t7) @t4))) % 29.24/29.41 (assume @p14 (forall (@list @t13 @t1 @t20 @t33 @t5) (= (tptp.c_Map_Orestrict__map @t13 @t36 @t1 @t5) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Orestrict__map @t13 @t33 @t1 @t5) @t20 (tptp.hAPP @t13 @t20) @t1 @t8)))) % 29.24/29.41 (assume @p15 (forall @t44 @t43)) % 29.24/29.41 (assume @p16 (forall @t44 (or @t43 @t45))) % 29.24/29.41 (assume @p17 (forall @t32 (or (= @t31 @t42) @t45))) % 29.24/29.41 (assume @p18 (forall (@list @t1 @t46) (= (tptp.hAPP @t47 @t46) @t46))) % 29.24/29.41 (assume @p19 (forall (@list @t46 @t1 @t5 @t48) (= (tptp.hAPP (tptp.c_COMBK @t46 @t1 @t5) @t48) @t46))) % 29.24/29.41 (assume @p20 (forall (@list @t52 @t51 @t49) (not (= @t53 @t50)))) % 29.24/29.41 (assume @p21 (forall @t56 (= (tptp.c_HOL_Ominus__class_Ominus @t55 @t54 @t37) @t55))) % 29.24/29.41 (assume @p22 (forall (@list @t1 @t57 @t12 @t3) (or @t59 (not (= (tptp.c_HOL_Ominus__class_Ominus @t57 @t12 @t1) @t58)) (= @t57 @t12)))) % 29.24/29.41 (assume @p23 (forall (@list @t1 @t3 @t61 @t60) (or @t59 (not (= @t58 @t62)) (= @t61 @t60)))) % 29.24/29.41 (assume @p24 (forall (@list @t1 @t64 @t63) (or @t68 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t64 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t63 @t1) @t1) @t67 @t66 @t65))) % 29.24/29.41 (assume @p25 (forall @t76 (= @t75 (tptp.hAPP @t73 @t72)))) % 29.24/29.41 (assume @p26 (forall @t76 (= (tptp.hAPP (tptp.hAPP @t70 @t77) @t69) @t75))) % 29.24/29.41 (assume @p27 (forall @t86 (or @t85 @t84))) % 29.24/29.41 (assume @p28 (forall @t86 (or @t85 @t88))) % 29.24/29.41 (assume @p29 (forall @t86 (or @t89 @t88))) % 29.24/29.41 (assume @p30 (forall @t86 (or @t89 @t84))) % 29.24/29.41 (assume @p31 (forall @t96 (or @t95 @t94))) % 29.24/29.41 (assume @p32 (forall @t98 (or @t97 @t94))) % 29.24/29.41 (assume @p33 (forall @t106 (or @t105 @t104 @t103 @t101 @t100))) % 29.24/29.41 (assume @p34 (forall @t106 (or @t105 @t104 @t103 @t100 @t101))) % 29.24/29.41 (assume @p35 (forall (@list @t13 @t3 @t57 @t33 @t1 @t5) (or (not (= @t14 (tptp.hAPP @t13 @t57))) @t107 @t103 @t100 (= @t3 @t57)))) % 29.24/29.41 (assume @p36 (forall @t106 (or @t105 @t100 @t101 @t104 @t103))) % 29.24/29.41 (assume @p37 (forall @t110 (or (= @t92 @t33) @t109))) % 29.24/29.41 (assume @p38 (forall @t110 (or (= @t92 @t54) @t111))) % 29.24/29.41 (assume @p39 (forall @t119 (or @t118 @t117 @t113))) % 29.24/29.41 (assume @p40 (forall @t119 (or @t118 (not @t117) @t112))) % 29.24/29.41 (assume @p41 (forall @t119 (or @t118 (= @t116 @t12) @t121))) % 29.24/29.41 (assume @p42 (forall @t76 (or @t126 @t125 @t123))) % 29.24/29.41 (assume @p43 (forall (@list @t54 @t1 @t33) (tptp.c_lessequals @t54 @t77 @t37))) % 29.24/29.41 (assume @p44 (forall @t127 (tptp.c_lessequals @t33 @t77 @t37))) % 29.24/29.41 (assume @p45 (forall @t135 (or @t85 @t134 @t131 @t129))) % 29.24/29.41 (assume @p46 (forall @t119 (or @t85 @t136))) % 29.24/29.41 (assume @p47 (forall @t138 (or @t85 @t137))) % 29.24/29.41 (assume @p48 (forall @t140 (or @t85 (tptp.c_lessequals @t80 @t3 @t1) (not @t139) @t121))) % 29.24/29.41 (assume @p49 (forall @t86 (or @t85 @t145 @t144 @t142))) % 29.24/29.41 (assume @p50 (forall @t138 (or @t89 @t137))) % 29.24/29.41 (assume @p51 (forall @t119 (or @t89 @t136))) % 29.24/29.41 (assume @p52 (forall @t110 (= @t92 @t147))) % 29.24/29.41 (assume @p53 (forall @t119 (or @t118 @t150))) % 29.24/29.41 (assume @p54 (forall @t119 (or @t89 @t150))) % 29.24/29.41 (assume @p55 (forall (@list @t157 @t158 @t156 @t1 @t155 @t153 @t154 @t151 @t152) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t157 @t158 (tptp.c_COMBC @t156 @t1 @t1 tptp.tc_bool) (tptp.c_COMBC @t155 @t1 @t1 tptp.tc_bool) @t153 @t154 @t151 @t152 @t1) @t159))) % 29.24/29.41 (assume @p56 (forall @t110 (or (= @t161 @t54) @t109))) % 29.24/29.41 (assume @p57 (forall @t166 (not (= tptp.c_Com_Ocom_OSKIP @t165)))) % 29.24/29.41 (assume @p58 (forall @t86 (or @t89 (tptp.c_lessequals @t169 @t167 @t1)))) % 29.24/29.41 (assume @p59 (forall @t56 (tptp.c_lessequals @t55 @t33 @t37))) % 29.24/29.41 (assume @p60 (forall @t76 (= (tptp.hAPP (tptp.hAPP @t70 (tptp.hAPP @t176 @t175)) @t174) (tptp.hAPP (tptp.hAPP @t90 (tptp.hAPP @t172 @t74)) @t171)))) % 29.24/29.41 (assume @p61 (forall (@list @t20 @t46 @t1) (or @t179 (not @t177)))) % 29.24/29.41 (assume @p62 (forall (@list @t46 @t20 @t1) (or @t177 (not @t179)))) % 29.24/29.41 (assume @p63 (forall (@list @t19 @t33 @t54 @t1) (or @t181 @t95 @t180))) % 29.24/29.41 (assume @p64 (forall @t186 (or @t185 @t184))) % 29.24/29.41 (assume @p65 (forall (@list @t33 @t19 @t1 @t5) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t189 @t5 @t37) @t19) (= @t33 @t188)))) % 29.24/29.41 (assume @p66 (forall (@list @t5 @t33 @t64 @t1) (or @t191 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 (tptp.c_COMBK @t64 @t5 @t1) @t1 @t5) @t64) @t190))) % 29.24/29.41 (assume @p67 (forall @t11 (or (= @t10 @t41) @t45))) % 29.24/29.41 (assume @p68 (forall (@list @t46 @t5 @t17 @t1 @t48 @t192) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t46 @t5 @t17 @t1) @t48) @t192) (tptp.hAPP (tptp.hAPP @t46 @t192) @t48)))) % 29.24/29.41 (assume @p69 (forall (@list @t193 @t3 @t1) (or @t195 (not @t194)))) % 29.24/29.41 (assume @p70 (forall (@list @t3 @t193 @t1) (or @t194 (not @t195)))) % 29.24/29.41 (assume @p71 (forall (@list @t33 @t5 @t54 @t1) (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t196 @t37) @t33))) % 29.24/29.41 (assume @p72 (forall @t198 (tptp.c_Fun_Oinj__on @t197 @t33 @t1 @t1))) % 29.24/29.41 (assume @p73 (forall @t199 (or @t85 (= (tptp.hAPP @t81 @t3) @t3)))) % 29.24/29.41 (assume @p74 (forall @t198 (= (tptp.hAPP @t71 @t33) @t33))) % 29.24/29.41 (assume @p75 (forall (@list @t5 @t18 @t1) (= (tptp.c_Fun_Ocomp @t200 @t18 @t5 @t5 @t1) @t18))) % 29.24/29.41 (assume @p76 (forall @t201 (= (tptp.c_Fun_Ocomp @t13 @t197 @t1 @t5 @t1) @t13))) % 29.24/29.41 (assume @p77 (forall (@list @t46 @t3 @t1 @t33) (or @t204 @t203))) % 29.24/29.41 (assume @p78 (forall @t140 (or @t205 (= (tptp.hAPP (tptp.hAPP @t114 @t80) @t3) (tptp.hAPP (tptp.hAPP @t78 @t149) (tptp.hAPP (tptp.hAPP @t114 @t24) @t3)))))) % 29.24/29.41 (assume @p79 (forall @t86 (or @t205 (= @t167 @t169)))) % 29.24/29.41 (assume @p80 (forall @t76 (= @t207 (tptp.hAPP @t176 @t206)))) % 29.24/29.41 (assume @p81 (forall @t208 (= (tptp.hAPP (tptp.hAPP @t90 @t74) @t33) (tptp.hAPP (tptp.hAPP @t70 @t147) @t174)))) % 29.24/29.41 (assume @p82 (forall @t213 (or @t212 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t211) @t13) @t18) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5) @t210) @t209))))) % 29.24/29.41 (assume @p83 (forall @t110 (or @t214 (= @t55 @t33)))) % 29.24/29.41 (assume @p84 (forall (@list @t49 @t52 @t51) (not (= @t50 @t53)))) % 29.24/29.41 (assume @p85 (forall @t219 (or @t218 @t103 @t217))) % 29.24/29.41 (assume @p86 (forall @t219 (or @t216 @t103 @t220))) % 29.24/29.41 (assume @p87 (forall (@list @t13 @t33 @t1) (= (tptp.c_Finite__Set_Ofold1 @t13 @t33 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t13 @t33 @t1) @t1)))) % 29.24/29.41 (assume @p88 (forall (@list @t5 @t64 @t221 @t33 @t1) (or @t191 (tptp.c_lessequals (tptp.hAPP @t64 @t221) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t64 @t1 @t5) @t5) (not (tptp.hBOOL (tptp.c_in @t221 @t33 @t1)))))) % 29.24/29.41 (assume @p89 (forall (@list @t54 @t20 @t33 @t1 @t5) (or (tptp.c_lessequals @t225 @t224 @t187) @t223))) % 29.24/29.41 (assume @p90 (forall @t228 (or (= @t227 @t55) @t226))) % 29.24/29.41 (assume @p91 (forall @t231 (not (= @t230 tptp.c_Com_Ocom_OSKIP)))) % 29.24/29.41 (assume @p92 (forall (@list @t1 @t3 @t57 @t33) (or @t118 (tptp.c_lessequals @t3 @t57 @t1) @t107 (not (tptp.c_lessequals @t3 @t234 @t1)) @t190 @t233))) % 29.24/29.41 (assume @p93 (forall (@list @t49 @t236 @t235) (not (= @t50 @t237)))) % 29.24/29.41 (assume @p94 (forall @t56 (or @t238 @t233))) % 29.24/29.41 (assume @p95 (forall (@list @t13 @t33 @t54 @t1 @t5) (or (tptp.c_Fun_Oinj__on @t13 @t55 @t1 @t5) @t100))) % 29.24/29.41 (assume @p96 (forall @t242 (or @t241 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t36 @t1) (tptp.hAPP @t240 @t239))))) % 29.24/29.41 (assume @p97 (forall (@list @t46 @t1) (= @t178 @t46))) % 29.24/29.41 (assume @p98 (forall @t243 (or @t85 (tptp.c_Finite__Set_Ofun__left__comm__idem @t78 @t1 @t1)))) % 29.24/29.41 (assume @p99 (forall @t247 (or @t246 @t244))) % 29.24/29.41 (assume @p100 (forall @t247 (or @t246 @t248))) % 29.24/29.41 (assume @p101 (forall (@list @t52 @t51 @t164 @t229) (not (= @t53 @t230)))) % 29.24/29.41 (assume @p102 (forall @t242 (or @t241 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t36 @t1) (tptp.hAPP @t132 @t249))))) % 29.24/29.41 (assume @p103 (forall (@list @t52 @t51 @t164 @t163 @t162) (not (= @t53 @t165)))) % 29.24/29.41 (assume @p104 (forall @t127 (or @t232 @t251 @t250))) % 29.24/29.41 (assume @p105 (forall @t56 (or @t238 @t233 @t250))) % 29.24/29.41 (assume @p106 (forall @t198 (tptp.c_Fun_Oinj__on @t47 @t33 @t1 @t1))) % 29.24/29.41 (assume @p107 (forall (@list @t54 @t3 @t5 @t33 @t1) (or (tptp.c_Finite__Set_Ofinite @t252 @t5) @t103 (not (tptp.c_Finite__Set_Ofinite @t224 @t5)) @t233))) % 29.24/29.41 (assume @p108 (forall (@list @t33 @t54 @t5 @t1 @t3) (or (not (= @t255 @t38)) @t254 @t253))) % 29.24/29.41 (assume @p109 (forall (@list @t236 @t52 @t51 @t164 @t229) (not (= @t256 @t230)))) % 29.24/29.41 (assume @p110 (forall @t98 (or @t97 @t257))) % 29.24/29.41 (assume @p111 (forall @t96 (or @t258 @t257))) % 29.24/29.41 (assume @p112 (forall (@list @t33 @t3 @t54 @t1 @t259 @t5) (or (tptp.c_lessequals @t260 @t54 @t37) (not (tptp.hBOOL (tptp.c_in @t3 @t259 @t5))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t259 @t33 @t5 @t37) @t54 @t37))))) % 29.24/29.41 (assume @p113 (forall (@list @t19 @t5 @t17 @t13) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t19 @t5 @t17) @t13 @t17 @t5 tptp.t_a) tptp.v_x) @t19))) % 29.24/29.41 (assume @p114 (forall @t263 (= (tptp.c_The @t262 @t1) @t20))) % 29.24/29.41 (assume @p115 (forall (@list @t164 @t163 @t162 @t52 @t51) (not (= @t165 @t53)))) % 29.24/29.41 (assume @p116 (forall (@list @t5 @t33 @t264 @t259 @t1) (or (= (tptp.hAPP (tptp.hAPP @t266 (tptp.hAPP @t33 @t264)) @t265) @t265) (not (tptp.hBOOL (tptp.c_in @t264 @t259 @t1)))))) % 29.24/29.41 (assume @p117 (forall @t268 (or @t267 @t244))) % 29.24/29.41 (assume @p118 (forall @t268 (or @t267 @t248))) % 29.24/29.41 (assume @p119 (forall @t268 (or @t267 @t269))) % 29.24/29.41 (assume @p120 (forall @t277 (or @t276 @t275 @t272))) % 29.24/29.41 (assume @p121 (forall @t283 (or @t282 @t281 (not @t279) (not @t278)))) % 29.24/29.41 (assume @p122 (forall (@list @t1 @t22 @t23 @t20 @t19) (or @t282 @t279 @t286 @t284))) % 29.24/29.41 (assume @p123 (forall (@list @t1 @t19 @t20 @t22 @t23) (or @t282 @t278 @t286 @t284))) % 29.24/29.41 (assume @p124 (forall @t76 (or (not @t288) @t287))) % 29.24/29.41 (assume @p125 (forall @t76 (or @t288 @t289))) % 29.24/29.41 (assume @p126 (forall @t292 (or (= @t291 @t9) @t102))) % 29.24/29.41 (assume @p127 (forall (@list @t13 @t18 @t5 @t1 @t17 @t3) (= @t295 @t294))) % 29.24/29.41 (assume @p128 (forall (@list @t20 @t22 @t296 @t17 @t5 @t1) (= @t298 (tptp.hAPP @t297 @t296)))) % 29.24/29.41 (assume @p129 (forall @t283 (or @t282 @t281 @t285))) % 29.24/29.41 (assume @p130 (forall (@list @t54 @t3 @t33 @t1) (or @t301 @t300 (not @t299)))) % 29.24/29.41 (assume @p131 (forall @t303 (or @t299 @t302))) % 29.24/29.41 (assume @p132 (forall @t303 (or @t299 @t304))) % 29.24/29.41 (assume @p133 (forall @t96 (or @t95 @t97 (not @t305)))) % 29.24/29.41 (assume @p134 (forall (@list @t236 @t52 @t51 @t49) (not (= @t256 @t50)))) % 29.24/29.41 (assume @p135 (forall (@list @t49 @t236 @t52 @t51) (not (= @t50 @t256)))) % 29.24/29.41 (assume @p136 (forall @t86 (or @t89 @t308))) % 29.24/29.41 (assume @p137 (forall @t86 (or @t89 @t309))) % 29.24/29.41 (assume @p138 (forall @t86 (or @t118 @t309))) % 29.24/29.41 (assume @p139 (forall @t86 (or @t118 @t308))) % 29.24/29.41 (assume @p140 (forall @t76 (= (tptp.hAPP (tptp.hAPP @t90 @t92) @t69) @t310))) % 29.24/29.41 (assume @p141 (forall @t76 (= @t310 (tptp.hAPP @t146 @t206)))) % 29.24/29.41 (assume @p142 (forall (@list @t1 @t33 @t54 @t5 @t3) (or (not (= @t38 @t255)) @t254 @t253))) % 29.24/29.41 (assume @p143 (forall (@list @t270 @t1 @t273) (or @t271 @t311))) % 29.24/29.41 (assume @p144 (forall (@list @t273 @t1 @t270) (or @t274 @t311))) % 29.24/29.41 (assume @p145 (forall (@list @t6 @t33 @t1 @t5 @t54) (= (tptp.c_Map_Orestrict__map @t290 @t54 @t1 @t5) (tptp.c_Map_Orestrict__map @t6 @t92 @t1 @t5)))) % 29.24/29.41 (assume @p146 (forall (@list @t1 @t5 @t33 @t54) (= (tptp.hAPP (tptp.hAPP @t70 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t188 @t33 @t5 @t37)) @t54) @t54))) % 29.24/29.41 (assume @p147 (forall (@list @t1 @t33 @t5 @t54) (= (tptp.hAPP @t71 @t196) @t33))) % 29.24/29.41 (assume @p148 (forall @t231 (not (= tptp.c_Com_Ocom_OSKIP @t230)))) % 29.24/29.41 (assume @p149 (forall (@list @t1 @t69 @t33 @t54) (= (tptp.hAPP @t173 @t55) (tptp.c_HOL_Ominus__class_Ominus @t174 (tptp.hAPP @t173 @t54) @t37)))) % 29.24/29.41 (assume @p150 (forall @t76 (= (tptp.hAPP @t313 @t69) @t312))) % 29.24/29.41 (assume @p151 (forall (@list @t33 @t54 @t1 @t69 @t2) (or (tptp.c_lessequals @t55 (tptp.c_HOL_Ominus__class_Ominus @t69 @t2 @t37) @t37) (not (tptp.c_lessequals @t2 @t54 @t37)) @t123))) % 29.24/29.41 (assume @p152 (forall @t186 (or @t226 @t103 @t214))) % 29.24/29.41 (assume @p153 (forall @t86 (or @t89 (tptp.c_lessequals @t315 @t314 @t1)))) % 29.24/29.41 (assume @p154 (forall (@list @t1 @t33 @t69 @t54) (= @t312 (tptp.c_HOL_Ominus__class_Ominus @t206 @t54 @t37)))) % 29.24/29.41 (assume @p155 (forall @t119 (or @t89 (= (tptp.hAPP @t81 @t116) @t3)))) % 29.24/29.41 (assume @p156 (forall @t56 (or @t316 @t111 @t109))) % 29.24/29.41 (assume @p157 (forall @t119 (or @t282 @t101 @t121 @t113))) % 29.24/29.41 (assume @p158 (forall @t119 (or @t282 @t101 @t113 @t121))) % 29.24/29.41 (assume @p159 (forall @t119 (or @t89 (= (tptp.hAPP @t115 @t83) @t3)))) % 29.24/29.41 (assume @p160 (forall @t110 (= (tptp.hAPP @t317 @t92) @t33))) % 29.24/29.41 (assume @p161 (forall @t119 (or @t85 (= @t83 @t3) @t121))) % 29.24/29.41 (assume @p162 (forall @t119 (or @t85 (not @t318) @t112))) % 29.24/29.41 (assume @p163 (forall @t119 (or @t85 @t318 @t113))) % 29.24/29.41 (assume @p164 (forall @t219 (or @t216 @t109 @t102))) % 29.24/29.41 (assume @p165 (forall @t319 (or @t108 @t102 @t217))) % 29.24/29.41 (assume @p166 (forall @t319 (or @t108 @t217 @t102))) % 29.24/29.41 (assume @p167 (forall @t322 (or (= @t321 @t92) @t222))) % 29.24/29.41 (assume @p168 (forall @t325 (or (= @t324 @t175) @t323))) % 29.24/29.41 (assume @p169 (forall (@list @t22 @t33 @t54 @t5 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t22 @t255 @t1)) (not (tptp.hBOOL (tptp.c_in @t22 @t252 @t1))) @t253))) % 29.24/29.41 (assume @p170 (forall (@list @t22 @t33 @t54 @t1 @t5 @t20) (or (tptp.hBOOL (tptp.c_in @t22 @t224 @t5)) (not (tptp.hBOOL (tptp.c_in @t22 @t225 @t5))) @t223))) % 29.24/29.41 (assume @p171 (forall (@list @t20 @t22 @t17 @t5 @t1 @t19 @t296) (or (not (= @t297 (tptp.c_Fun_Ocomp @t200 @t19 @t5 @t5 @t1))) (= @t298 (tptp.hAPP @t19 @t296))))) % 29.24/29.41 (assume @p172 (forall (@list @t1 @t54 @t33) (= (tptp.hAPP (tptp.hAPP @t70 @t160) @t33) @t326))) % 29.24/29.41 (assume @p173 (forall @t110 (= @t161 @t77))) % 29.24/29.41 (assume @p174 (forall (@list @t5 @t19 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t188 @t189 @t5 @t37) @t38))) % 29.24/29.41 (assume @p175 (forall (@list @t5 @t33 @t54) (or (not (tptp.class_HOL_Ominus @t5)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t33 @t54 @t211) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t33 tptp.v_x) (tptp.hAPP @t54 tptp.v_x) @t5))))) % 29.24/29.41 (assume @p176 (forall (@list @t69 @t54 @t1 @t33) (or @t329 @t328))) % 29.24/29.41 (assume @p177 (forall (@list @t69 @t33 @t1 @t54) (or @t287 @t328))) % 29.24/29.41 (assume @p178 (forall @t334 (or @t118 @t333 @t332))) % 29.24/29.41 (assume @p179 (forall (@list @t1 @t3 @t22 @t20) (or @t118 @t335 @t332))) % 29.24/29.41 (assume @p180 (forall @t135 (or @t118 @t336 @t129))) % 29.24/29.41 (assume @p181 (forall @t135 (or @t118 @t336 @t131))) % 29.24/29.41 (assume @p182 (forall @t86 (or @t118 @t112 @t338))) % 29.24/29.41 (assume @p183 (forall @t339 (or @t118 @t141 @t338))) % 29.24/29.41 (assume @p184 (forall @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t77 @t69 @t37) (tptp.hAPP (tptp.hAPP @t70 @t341) @t340)))) % 29.24/29.41 (assume @p185 (forall (@list @t1 @t20 @t54) (= @t320 (tptp.hAPP (tptp.hAPP @t70 @t342) @t54)))) % 29.24/29.41 (assume @p186 (forall (@list @t156 @t158 @t33 @t3 @t1 @t157 @t155 @t154 @t153 @t152 @t151) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 @t343) @t3)) @t103 @t159))) % 29.24/29.41 (assume @p187 (forall (@list @t156 @t3 @t157 @t33 @t1 @t158 @t155 @t154 @t153 @t152 @t151) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 @t3) @t344)) @t103 @t159))) % 29.24/29.41 (assume @p188 (forall @t110 (= @t77 @t326))) % 29.24/29.41 (assume @p189 (forall @t119 (or @t85 @t346))) % 29.24/29.41 (assume @p190 (forall @t119 (or @t89 @t346))) % 29.24/29.41 (assume @p191 (forall (@list @t347 @t49) (or (not (= (tptp.c_Com_Ocom_OBODY @t347) @t50)) (= @t347 @t49)))) % 29.24/29.41 (assume @p192 (forall @t349 (or @t348 @t269))) % 29.24/29.41 (assume @p193 (forall @t349 (or @t348 @t350))) % 29.24/29.41 (assume @p194 (forall @t110 (= (tptp.hAPP @t71 @t77) @t77))) % 29.24/29.41 (assume @p195 (forall @t119 (or @t85 @t351))) % 29.24/29.41 (assume @p196 (forall @t119 (or @t89 @t351))) % 29.24/29.41 (assume @p197 (forall @t166 (not (= @t165 tptp.c_Com_Ocom_OSKIP)))) % 29.24/29.41 (assume @p198 (forall (@list @t33 @t54 @t1 @t5 @t22 @t3) (or @t352 (not (tptp.hBOOL (tptp.hAPP @t252 @t22))) @t103))) % 29.24/29.41 (assume @p199 (forall (@list @t33 @t54 @t1 @t5 @t22 @t20) (or @t352 (not (tptp.hBOOL (tptp.hAPP @t225 @t22))) @t223))) % 29.24/29.41 (assume @p200 (forall @t110 (= (tptp.hAPP @t91 @t160) @t38))) % 29.24/29.41 (assume @p201 (forall (@list @t164 @t229 @t236 @t52 @t51) (not (= @t230 @t256)))) % 29.24/29.41 (assume @p202 (forall @t198 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t232))) % 29.24/29.41 (assume @p203 (forall (@list @t3 @t33 @t1 @t46) (or @t102 @t203))) % 29.24/29.41 (assume @p204 (forall @t353 (not (= tptp.c_Com_Ocom_OSKIP @t50)))) % 29.24/29.41 (assume @p205 (forall @t228 (or (= @t227 (tptp.hAPP @t39 @t55)) @t185))) % 29.24/29.41 (assume @p206 (forall (@list @t54 @t3 @t1 @t33) (or @t301 @t355))) % 29.24/29.41 (assume @p207 (forall (@list @t33 @t3 @t1 @t54) (or @t300 @t355))) % 29.24/29.41 (assume @p208 (forall (@list @t13 @t54 @t1 @t5 @t33) (or @t357 @t356))) % 29.24/29.41 (assume @p209 (forall @t358 (or @t99 @t356))) % 29.24/29.41 (assume @p210 (forall @t199 (= (tptp.hAPP @t197 @t3) @t3))) % 29.24/29.41 (assume @p211 (forall (@list @t33 @t54 @t1 @t69) (or @t360 (not @t359)))) % 29.24/29.41 (assume @p212 (forall @t361 (or @t359 (not @t360)))) % 29.24/29.41 (assume @p213 (forall @t243 (or @t118 (tptp.c_Finite__Set_Ofun__left__comm__idem @t114 @t1 @t1)))) % 29.24/29.41 (assume @p214 (forall @t277 (or @t362 @t275))) % 29.24/29.41 (assume @p215 (forall @t277 (or @t362 @t272))) % 29.24/29.41 (assume @p216 (forall (@list @t5 @t13 @t3 @t18 @t1) (or (not (tptp.class_HOL_Oord @t5)) (tptp.c_lessequals @t14 @t293 @t5) (not (tptp.c_lessequals @t13 @t18 (tptp.tc_fun @t1 @t5)))))) % 29.24/29.41 (assume @p217 (forall @t371 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t273 @t370 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t273 @t368 @t1))))) % 29.24/29.41 (assume @p218 (forall @t199 (or @t373 (= (tptp.hAPP (tptp.hAPP @t78 @t372) @t3) @t3)))) % 29.24/29.41 (assume @p219 (forall @t199 (or @t373 (= (tptp.hAPP @t81 @t372) @t3)))) % 29.24/29.41 (assume @p220 (forall @t199 (or @t373 (= (tptp.hAPP (tptp.hAPP @t114 @t372) @t3) @t372)))) % 29.24/29.41 (assume @p221 (forall @t199 (or @t373 (= (tptp.hAPP @t115 @t372) @t372)))) % 29.24/29.41 (assume @p222 (forall @t199 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t372 @t3 @t1)))) % 29.24/29.41 (assume @p223 (forall @t110 (or @t373 @t374 (= @t33 @t372)))) % 29.24/29.41 (assume @p224 (forall @t110 (or @t373 @t374 (= @t54 @t372)))) % 29.24/29.41 (assume @p225 (forall @t243 (= (tptp.hAPP @t375 @t38) @t38))) % 29.24/29.41 (assume @p226 (forall (@list @t158 @t1 @t151 @t157 @t156 @t155 @t154 @t153 @t152) (or (= (tptp.hAPP @t158 @t38) @t151) @t159))) % 29.24/29.41 (assume @p227 (forall (@list @t157 @t1 @t152 @t158 @t156 @t155 @t154 @t153 @t151) (or (= (tptp.hAPP @t157 @t38) @t152) @t159))) % 29.24/29.41 (assume @p228 (forall (@list @t1 @t46 @t3) (or (not (= @t38 @t178)) @t376))) % 29.24/29.41 (assume @p229 (forall @t378 @t377)) % 29.24/29.41 (assume @p230 (forall @t379 (or @t204 @t377))) % 29.24/29.41 (assume @p231 (forall (@list @t19 @t1) (not (tptp.hBOOL (tptp.c_in @t19 @t38 @t1))))) % 29.24/29.41 (assume @p232 (forall (@list @t20 @t1) (not (tptp.hBOOL (tptp.c_in @t20 @t38 @t1))))) % 29.24/29.41 (assume @p233 (forall @t243 (tptp.c_lessequals @t38 @t38 @t37))) % 29.24/29.41 (assume @p234 (forall @t380 (or @t190 (not (tptp.c_lessequals @t33 @t38 @t37))))) % 29.24/29.41 (assume @p235 (forall (@list @t46 @t1 @t3) (or (not (= @t178 @t38)) @t376))) % 29.24/29.41 (assume @p236 (forall @t381 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t13 @t38 @t1) @t3))))) % 29.24/29.41 (assume @p237 (forall @t198 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t33 @t37) @t38))) % 29.24/29.41 (assume @p238 (forall @t198 (= (tptp.hAPP @t71 @t38) @t33))) % 29.24/29.41 (assume @p239 (forall @t382 (= (tptp.hAPP @t375 @t54) @t54))) % 29.24/29.41 (assume @p240 (forall @t380 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t33 @t37) @t38))) % 29.24/29.41 (assume @p241 (forall @t380 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t38 @t37) @t33))) % 29.24/29.41 (assume @p242 (forall @t243 (tptp.c_Finite__Set_Ofinite @t38 @t1))) % 29.24/29.41 (assume @p243 (forall @t198 (= (tptp.hAPP @t91 @t38) @t38))) % 29.24/29.41 (assume @p244 (forall @t382 (= (tptp.hAPP (tptp.hAPP @t90 @t38) @t54) @t38))) % 29.24/29.41 (assume @p245 (forall @t198 (tptp.c_lessequals @t38 @t33 @t37))) % 29.24/29.41 (assume @p246 (forall @t201 (tptp.c_Fun_Oinj__on @t13 @t38 @t1 @t5))) % 29.24/29.41 (assume @p247 (forall @t379 (or @t376 @t377))) % 29.24/29.41 (assume @p248 (forall @t110 (or @t383 (= @t54 @t38)))) % 29.24/29.41 (assume @p249 (forall @t110 (or @t383 @t190))) % 29.24/29.41 (assume @p250 (forall @t263 (= @t342 @t384))) % 29.24/29.41 (assume @p251 (forall @t242 (or (= @t386 @t33) @t223))) % 29.24/29.41 (assume @p252 (forall @t390 (or @t241 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t389 @t1) @t133)))) % 29.24/29.41 (assume @p253 (forall @t219 (or @t216 @t109 @t220))) % 29.24/29.41 (assume @p254 (forall @t391 (or (= (tptp.c_HOL_Ominus__class_Ominus @t182 @t40 @t37) @t33) @t102))) % 29.24/29.41 (assume @p255 (forall @t390 (or @t241 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t389 @t1) @t330)))) % 29.24/29.41 (assume @p256 (forall (@list @t1 @t20 @t69 @t2) (or (tptp.c_lessequals (tptp.hAPP @t35 @t69) (tptp.hAPP @t35 @t2) @t37) (not (tptp.c_lessequals @t69 @t2 @t37))))) % 29.24/29.41 (assume @p257 (forall (@list @t20 @t1 @t22 @t33) (or @t392 @t223))) % 29.24/29.41 (assume @p258 (forall (@list @t20 @t1 @t22 @t54) (or (tptp.hBOOL (tptp.c_in @t20 @t393 @t1)) (not (tptp.hBOOL (tptp.c_in @t20 @t54 @t1)))))) % 29.24/29.41 (assume @p259 (forall (@list @t158 @t1 @t20 @t33 @t154 @t157 @t156 @t155 @t153 @t152 @t151) (or (= (tptp.hAPP @t158 @t36) (tptp.hAPP @t394 @t343)) @t159))) % 29.24/29.41 (assume @p260 (forall (@list @t157 @t1 @t20 @t33 @t153 @t158 @t156 @t155 @t154 @t152 @t151) (or (= (tptp.hAPP @t157 @t36) (tptp.hAPP @t395 @t344)) @t159))) % 29.24/29.41 (assume @p261 (forall (@list @t20 @t33 @t1 @t22) (or @t222 @t396 (not @t392)))) % 29.24/29.41 (assume @p262 (forall @t242 (or @t397 @t233))) % 29.24/29.41 (assume @p263 (forall @t110 (or @t398 @t109))) % 29.24/29.41 (assume @p264 (forall @t110 (or (= @t77 @t33) @t111))) % 29.24/29.41 (assume @p265 (forall @t110 (or (not @t398) @t108))) % 29.24/29.41 (assume @p266 (forall @t292 (or (= @t291 (tptp.hAPP @t6 @t3)) @t103))) % 29.24/29.41 (assume @p267 (forall @t243 (= @t38 (tptp.c_Collect (tptp.c_COMBK tptp.c_False tptp.tc_bool @t1) @t1)))) % 29.24/29.41 (assume @p268 (forall (@list @t1 @t63 @t64) (or @t68 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t63 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t64 @t1) @t1) @t67 @t66 @t65))) % 29.24/29.41 (assume @p269 (forall (@list @t5 @t20 @t33 @t54 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t5) @t20) @t33) @t54 @t5 @t37) (tptp.hAPP (tptp.hAPP @t70 @t225) @t255)))) % 29.24/29.41 (assume @p270 (forall (@list @t1 @t33 @t20) (or @t118 (tptp.c_lessequals @t234 @t20 @t1) @t223 @t233))) % 29.24/29.41 (assume @p271 (forall @t399 (or @t241 (tptp.c_lessequals @t239 @t3 @t1) @t103))) % 29.24/29.41 (assume @p272 (forall @t390 (or @t282 @t400 @t285))) % 29.24/29.41 (assume @p273 (forall @t390 (or @t282 (not @t400) @t286))) % 29.24/29.41 (assume @p274 (forall @t325 (or (= @t324 (tptp.hAPP @t35 @t175)) (not @t323)))) % 29.24/29.41 (assume @p275 (forall @t322 (or (= @t321 @t401) @t223))) % 29.24/29.41 (assume @p276 (forall (@list @t13 @t18 @t5 @t17 @t1 @t3) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t13 @t18 @t5 @t17 @t1) @t3) (tptp.hAPP @t18 @t14)))) % 29.24/29.41 (assume @p277 (forall @t403 (or (tptp.c_lessequals @t77 (tptp.hAPP @t170 @t2) @t37) @t402 @t123))) % 29.24/29.41 (assume @p278 (forall @t119 (or @t89 @t404))) % 29.24/29.41 (assume @p279 (forall @t119 (or @t89 @t405))) % 29.24/29.41 (assume @p280 (forall @t86 (or @t118 @t337 @t142 @t113))) % 29.24/29.41 (assume @p281 (forall @t334 (or @t118 @t331 @t407 @t406))) % 29.24/29.41 (assume @p282 (forall @t119 (or @t118 @t405))) % 29.24/29.41 (assume @p283 (forall @t119 (or @t118 @t404))) % 29.24/29.41 (assume @p284 (forall @t110 (tptp.c_lessequals @t92 @t33 @t37))) % 29.24/29.41 (assume @p285 (forall @t110 (tptp.c_lessequals @t92 @t54 @t37))) % 29.24/29.41 (assume @p286 (forall (@list @t69 @t1 @t33 @t54) (or @t327 (not @t329) @t289))) % 29.24/29.41 (assume @p287 (forall (@list @t13 @t18 @t409 @t408 @t17 @t1 @t5) (= (tptp.c_Fun_Ocomp @t13 (tptp.c_Fun_Ocomp @t18 @t409 @t408 @t17 @t1) @t17 @t5 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t13 @t18 @t17 @t5 @t408) @t409 @t408 @t5 @t1)))) % 29.24/29.41 (assume @p288 (forall @t410 (not (= @t245 tptp.c_Com_Ocom_OSKIP)))) % 29.24/29.41 (assume @p289 (forall @t140 (or @t205 (= (tptp.hAPP (tptp.hAPP @t78 @t306) @t3) (tptp.hAPP (tptp.hAPP @t114 @t345) (tptp.hAPP (tptp.hAPP @t78 @t24) @t3)))))) % 29.24/29.41 (assume @p290 (forall @t86 (or @t205 (= @t315 @t314)))) % 29.24/29.41 (assume @p291 (forall @t76 (= (tptp.hAPP @t71 @t175) (tptp.hAPP @t172 @t72)))) % 29.24/29.41 (assume @p292 (forall @t208 (= (tptp.hAPP (tptp.hAPP @t70 @t175) @t33) (tptp.hAPP (tptp.hAPP @t90 @t326) @t171)))) % 29.24/29.41 (assume @p293 (forall @t228 (or @t183 @t109 @t226))) % 29.24/29.41 (assume @p294 (forall @t119 (or @t89 @t411))) % 29.24/29.41 (assume @p295 (forall @t119 (or @t118 @t411))) % 29.24/29.41 (assume @p296 (forall @t110 (= (tptp.hAPP @t91 @t92) @t92))) % 29.24/29.41 (assume @p297 (forall (@list @t13 @t3 @t24 @t1 @t5) (or (= (tptp.hAPP @t14 @t413) @t413) @t412))) % 29.24/29.41 (assume @p298 (forall (@list @t33 @t54 @t1 @t20) (or @t238 (not @t415)))) % 29.24/29.41 (assume @p299 (forall @t416 (or @t415 @t251))) % 29.24/29.41 (assume @p300 (forall (@list @t13 @t5 @t1) (= (tptp.c_Fun_Ofcomp @t13 @t200 @t1 @t5 @t5) @t13))) % 29.24/29.41 (assume @p301 (forall (@list @t1 @t18 @t5) (= (tptp.c_Fun_Ofcomp @t197 @t18 @t1 @t1 @t5) @t18))) % 29.24/29.41 (assume @p302 (forall (@list @t164 @t229 @t52 @t51) (not (= @t230 @t53)))) % 29.24/29.41 (assume @p303 (forall @t417 (or @t305 @t258))) % 29.24/29.41 (assume @p304 (forall @t417 (or @t305 @t180))) % 29.24/29.41 (assume @p305 (forall (@list @t33 @t1 @t5) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 (tptp.c_COMBK @t38 @t37 @t5) @t5 @t37) @t38))) % 29.24/29.41 (assume @p306 (forall @t199 (or @t118 (= (tptp.hAPP @t115 @t3) @t3)))) % 29.24/29.41 (assume @p307 (forall @t198 (= (tptp.hAPP @t91 @t33) @t33))) % 29.24/29.41 (assume @p308 (forall @t140 (or @t85 @t143 @t418))) % 29.24/29.41 (assume @p309 (forall @t339 (or @t85 @t141 @t418))) % 29.24/29.41 (assume @p310 (forall @t334 (or @t85 @t419 @t407))) % 29.24/29.41 (assume @p311 (forall @t334 (or @t85 @t419 @t406))) % 29.24/29.41 (assume @p312 (forall (@list @t1 @t22 @t3 @t20) (or @t85 @t130 @t420))) % 29.24/29.41 (assume @p313 (forall (@list @t1 @t20 @t3 @t22) (or @t85 @t128 @t420))) % 29.24/29.41 (assume @p314 (forall @t422 (or @t122 @t421))) % 29.24/29.41 (assume @p315 (forall (@list @t54 @t69 @t1 @t33) (or @t124 @t421))) % 29.24/29.41 (assume @p316 (forall @t198 (or @t68 (tptp.hBOOL (tptp.c_in @t423 @t33 @t1)) @t190 @t233))) % 29.24/29.41 (assume @p317 (forall @t213 (or @t212 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t211) @t13) @t18) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5) @t210) @t209))))) % 29.24/29.41 (assume @p318 (forall (@list @t1 @t24 @t3 @t12) (or @t282 @t139 (not (tptp.c_lessequals @t24 @t12 @t1)) @t121))) % 29.24/29.41 (assume @p319 (forall @t339 (or @t424 @t141 @t144 @t113))) % 29.24/29.41 (assume @p320 (forall @t186 (or @t185 @t103 @t109))) % 29.24/29.41 (assume @p321 (forall @t96 (or @t95 @t180 @t109))) % 29.24/29.41 (assume @p322 (forall @t378 (tptp.c_lessequals @t3 @t3 @t37))) % 29.24/29.41 (assume @p323 (forall @t186 (or @t185 @t109 @t103))) % 29.24/29.41 (assume @p324 (forall (@list @t425 @t54 @t1 @t33) (or (tptp.hBOOL (tptp.c_in @t425 @t54 @t1)) (not (tptp.hBOOL (tptp.c_in @t425 @t33 @t1))) @t109))) % 29.24/29.41 (assume @p325 (forall @t380 (tptp.c_lessequals @t33 @t33 @t37))) % 29.24/29.41 (assume @p326 (forall @t422 (or @t122 @t125 @t109))) % 29.24/29.41 (assume @p327 (forall @t358 (or @t99 @t109 (not @t357)))) % 29.24/29.41 (assume @p328 (forall @t428 (or @t427 @t376 @t426))) % 29.24/29.41 (assume @p329 (forall @t199 (or @t282 @t429))) % 29.24/29.41 (assume @p330 (forall @t199 (or @t424 @t429))) % 29.24/29.41 (assume @p331 (forall @t127 (or @t232 @t250 @t109))) % 29.24/29.41 (assume @p332 (forall @t428 (or @t427 @t426 @t376))) % 29.24/29.41 (assume @p333 (forall @t127 (or @t232 @t109 @t250))) % 29.24/29.41 (assume @p334 (forall @t403 (or (tptp.c_lessequals @t92 (tptp.hAPP @t173 @t2) @t37) @t402 @t123))) % 29.24/29.41 (assume @p335 (forall @t361 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t74 @t37) (tptp.hAPP @t313 @t341)))) % 29.24/29.41 (assume @p336 (forall @t390 (or @t282 @t430 @t285))) % 29.24/29.41 (assume @p337 (forall @t390 (or @t282 (not @t430) @t286))) % 29.24/29.41 (assume @p338 (forall @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t92 @t69 @t37) (tptp.hAPP @t91 @t340)))) % 29.24/29.41 (assume @p339 (forall @t198 (or @t68 (tptp.hBOOL (tptp.c_in @t431 @t33 @t1)) @t190 @t233))) % 29.24/29.41 (assume @p340 (forall (@list @t236 @t235 @t49) (not (= @t237 @t50)))) % 29.24/29.41 (assume @p341 (forall (@list @t3 @t1 @t33 @t46) (or @t202 @t376 @t103))) % 29.24/29.41 (assume @p342 (forall @t353 (not (= @t50 tptp.c_Com_Ocom_OSKIP)))) % 29.24/29.41 (assume @p343 (forall (@list @t20 @t22 @t17 @t5 @t1 @t19 @t23 @t408 @t296) (or (not (= @t297 (tptp.c_Fun_Ocomp @t19 @t23 @t408 @t5 @t1))) (= @t298 (tptp.hAPP @t19 (tptp.hAPP @t23 @t296)))))) % 29.24/29.41 (assume @p344 (forall (@list @t13 @t18 @t3 @t434 @t433 @t61 @t5 @t1 @t17 @t408 @t432) (or (not (= @t294 (tptp.hAPP @t434 (tptp.hAPP @t433 @t61)))) (= @t295 (tptp.hAPP (tptp.c_Fun_Ocomp @t434 @t433 @t408 @t1 @t432) @t61))))) % 29.24/29.41 (assume @p345 (forall @t361 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t175 @t37) (tptp.hAPP @t317 @t341)))) % 29.24/29.41 (assume @p346 (forall (@list @t5 @t33 @t54 @t64 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.hAPP @t266 @t33) @t54) @t64 @t5 @t37) (tptp.hAPP (tptp.hAPP @t70 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t64 @t5 @t37)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t54 @t64 @t5 @t37))))) % 29.24/29.41 (assume @p347 (forall @t199 (= (tptp.c_The @t435 @t1) @t3))) % 29.24/29.41 (assume @p348 (forall @t399 (or @t68 (tptp.c_lessequals @t431 @t3 @t1) @t103 @t233))) % 29.24/29.41 (assume @p349 (forall @t417 (or @t93 @t258 @t180))) % 29.24/29.41 (assume @p350 (forall @t303 (or @t354 @t302 @t304))) % 29.24/29.41 (assume @p351 (forall @t26 (or (= (tptp.c_Fun_Ocomp @t14 @t14 @t5 @t5 @t5) @t14) @t412))) % 29.24/29.41 (assume @p352 (forall (@list @t54 @t69 @t33 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t54 (tptp.c_HOL_Ominus__class_Ominus @t69 @t33 @t37) @t37) @t33) @t125 @t109))) % 29.24/29.41 (assume @p353 (forall @t439 (or @t438 @t437 @t436 @t121))) % 29.24/29.41 (assume @p354 (forall @t439 (or @t438 @t437 @t120 (not @t436)))) % 29.24/29.41 (assume @p355 (forall @t391 (or @t68 (tptp.c_lessequals @t3 @t423 @t1) @t103 @t233))) % 29.24/29.41 (assume @p356 (forall @t391 (or @t241 (tptp.c_lessequals @t3 @t249 @t1) @t103))) % 29.24/29.41 (assume @p357 (forall (@list @t13 @t18 @t1 @t408 @t17 @t409 @t5) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t13 @t18 @t1 @t408 @t17) @t409 @t1 @t17 @t5) (tptp.c_Fun_Ofcomp @t13 (tptp.c_Fun_Ofcomp @t18 @t409 @t408 @t17 @t5) @t1 @t408 @t5)))) % 29.24/29.41 (assume @p358 (forall @t410 (not (= tptp.c_Com_Ocom_OSKIP @t245)))) % 29.24/29.41 (assume @p359 (forall @t138 (or @t68 @t120 @t112))) % 29.24/29.41 (assume @p360 (forall (@list @t33 @t1 @t20) (or @t232 (not @t397)))) % 29.24/29.41 (assume @p361 (forall (@list @t54 @t1 @t20) (tptp.c_lessequals @t54 @t320 @t37))) % 29.24/29.41 (assume @p362 (forall (@list @t1 @t20 @t33 @t54) (= (tptp.hAPP (tptp.hAPP @t90 @t36) @t320) @t401))) % 29.24/29.41 (assume @p363 (forall @t322 (= (tptp.hAPP @t71 @t320) (tptp.hAPP @t35 @t77)))) % 29.24/29.41 (assume @p364 (forall @t325 (= (tptp.hAPP (tptp.hAPP @t70 @t320) @t69) (tptp.hAPP @t35 @t74)))) % 29.24/29.41 (assume @p365 (forall (@list @t33 @t1 @t22 @t54) (or (tptp.c_lessequals @t33 @t393 @t37) @t109))) % 29.24/29.41 (assume @p366 (forall @t319 (or @t108 @t184))) % 29.24/29.41 (assume @p367 (forall (@list @t13 @t33 @t1 @t5 @t20) (or @t99 (not (tptp.c_Fun_Oinj__on @t13 @t36 @t1 @t5))))) % 29.24/29.41 (assume @p368 (forall (@list @t3 @t1 @t33) (tptp.hBOOL (tptp.c_in @t3 @t182 @t1)))) % 29.24/29.41 (assume @p369 (forall (@list @t20 @t1 @t54) (tptp.hBOOL (tptp.c_in @t20 @t320 @t1)))) % 29.24/29.41 (assume @p370 (forall (@list @t3 @t1 @t54) (tptp.hBOOL (tptp.c_in @t3 @t215 @t1)))) % 29.24/29.41 (assume @p371 (forall @t243 (tptp.c_Finite__Set_Ofun__left__comm__idem @t34 @t1 @t37))) % 29.24/29.41 (assume @p372 (forall @t228 (or (not (= @t182 @t215)) @t185 @t102 @t316))) % 29.24/29.41 (assume @p373 (forall @t242 (or (= @t36 @t33) @t223))) % 29.24/29.41 (assume @p374 (forall (@list @t6 @t5) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t6 @t440 tptp.t_a @t5) tptp.v_x) @t9))) % 29.24/29.41 (assume @p375 (forall @t441 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t13 @t18 @t17 @t5 tptp.t_a) tptp.v_x) (tptp.hAPP @t13 @t209)))) % 29.24/29.41 (assume @p376 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 29.24/29.41 (assume @p377 (forall @t441 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t13 @t18 tptp.t_a @t17 @t5) tptp.v_x) (tptp.hAPP @t18 @t210)))) % 29.24/29.41 (assume @p378 (forall (@list @t46 @t444 @t57 @t443 @t442) (or (not (tptp.hBOOL (tptp.hAPP @t46 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t444 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t57 @t443 @t442 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t46 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t444 @t57) @t443) @t442)))))) % 29.24/29.41 (assume @p379 (forall (@list @t46 @t444 @t446 @t235 @t445) (or (not (tptp.hBOOL (tptp.hAPP @t46 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t444 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t446 @t235 @t445 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t46 @t447))))) % 29.24/29.41 (assume @p380 (forall @t449 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t444 @t448 @t5 @t1) @t447))) % 29.24/29.41 (assume @p381 (forall @t449 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t444 @t448 @t5 @t1) @t447))) % 29.24/29.41 (assume @p382 (forall (@list @t273 @t451 @t1 @t450) (or @t452 (not (tptp.c_lessequals @t451 @t450 @t364)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t450 @t1))))) % 29.24/29.41 (assume @p383 (forall @t455 (or @t452 (not (tptp.c_lessequals @t453 @t273 @t364)) @t454))) % 29.24/29.41 (assume @p384 (forall @t457 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t273 @t451 @t1) @t456))) % 29.24/29.41 (assume @p385 (forall @t457 (or @t452 (not (tptp.c_lessequals @t451 @t273 @t364))))) % 29.24/29.41 (assume @p386 (forall @t465 (or @t464 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_COMBK (tptp.hAPP (tptp.c_COMBC (tptp.c_fequal tptp.tc_Com_Ostate) tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_bool) @t462) @t460 tptp.t_a) @t19 (tptp.c_COMBK (tptp.hAPP @t48 @t461) @t460 tptp.t_a) tptp.t_a)) @t459) tptp.t_a))))) % 29.24/29.41 (assume @p387 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 29.24/29.41 (assume @p388 (forall @t371 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t370 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t368 @t1))))) % 29.24/29.41 (assume @p389 (forall (@list @t273 @t1 @t19 @t48) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_COMBK @t466 @t460 @t1) @t19 @t48 @t1)) @t365) @t1))) % 29.24/29.41 (assume @p390 (forall @t471 (or @t470 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.hAPP @t469 @t273) @t468 @t1))))) % 29.24/29.41 (assume @p391 (forall @t471 (or @t470 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t468 @t1))))) % 29.24/29.41 (assume @p392 (forall (@list @t273 @t1 @t46 @t22 @t19 @t23 @t48) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 (tptp.c_Com_Ocom_OCond @t22 @t19 @t23) @t48 @t1)) @t365) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t369 @t23 @t48 @t1)) @t365) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t366 @t19 @t48 @t1)) @t365) @t1))))) % 29.24/29.41 (assume @p393 (forall @t243 (or @t241 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t38 @t1) @t372)))) % 29.24/29.41 (assume @p394 (forall @t263 (= (tptp.c_Collect (tptp.hAPP @t261 @t20) @t1) @t384))) % 29.24/29.41 (assume @p395 (forall (@list @t33 @t1 @t3) (or (= @t33 @t40) @t190 (not (tptp.c_lessequals @t33 @t40 @t37))))) % 29.24/29.41 (assume @p396 (forall @t378 (tptp.hBOOL (tptp.c_in @t3 @t40 @t1)))) % 29.24/29.41 (assume @p397 (forall (@list @t158 @t1 @t20 @t157 @t156 @t155 @t154 @t153 @t152 @t151) (or (= (tptp.hAPP @t158 @t384) @t20) @t159))) % 29.24/29.41 (assume @p398 (forall (@list @t157 @t1 @t20 @t158 @t156 @t155 @t154 @t153 @t152 @t151) (or (= (tptp.hAPP @t157 @t384) @t20) @t159))) % 29.24/29.41 (assume @p399 (forall @t263 (or @t241 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t384 @t1) @t20)))) % 29.24/29.41 (assume @p400 (forall @t199 (tptp.hBOOL (tptp.hAPP @t40 @t472)))) % 29.24/29.41 (assume @p401 (forall (@list @t1 @t20 @t5 @t54) (= (tptp.hAPP @t35 @t196) @t384))) % 29.24/29.41 (assume @p402 (forall @t381 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t13 @t40 @t1) @t3)))) % 29.24/29.41 (assume @p403 (forall @t263 (or @t68 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t384 @t1) @t20)))) % 29.24/29.41 (assume @p404 (forall @t199 (= (tptp.c_The @t40 @t1) @t3))) % 29.24/29.41 (assume @p405 (forall (@list @t158 @t1 @t20 @t22 @t154 @t157 @t156 @t155 @t153 @t152 @t151) (or (= (tptp.hAPP @t158 @t389) (tptp.hAPP @t394 @t22)) @t159))) % 29.24/29.41 (assume @p406 (forall (@list @t157 @t1 @t20 @t22 @t153 @t158 @t156 @t155 @t154 @t152 @t151) (or (= (tptp.hAPP @t157 @t389) (tptp.hAPP @t395 @t22)) @t159))) % 29.24/29.41 (assume @p407 (forall @t416 (= @t414 (tptp.c_HOL_Ominus__class_Ominus @t385 @t54 @t37)))) % 29.24/29.41 (assume @p408 (forall @t416 (= @t414 (tptp.c_HOL_Ominus__class_Ominus @t55 @t384 @t37)))) % 29.24/29.41 (assume @p409 (forall (@list @t20 @t22 @t13 @t1) (or @t396 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t13 @t384 @t1) @t22)))))) % 29.24/29.41 (assume @p410 (forall @t199 (= (tptp.c_Set_Ocontents @t40 @t1) @t3))) % 29.24/29.41 (assume @p411 (forall (@list @t12 @t1 @t3) (or (= @t12 @t472) (not (tptp.hBOOL (tptp.hAPP @t40 @t12)))))) % 29.24/29.41 (assume @p412 (forall (@list @t22 @t20 @t1) (or (= @t22 @t20) (not (tptp.hBOOL (tptp.c_in @t22 @t384 @t1)))))) % 29.24/29.41 (assume @p413 (forall (@list @t13 @t1 @t20) (= (tptp.c_Finite__Set_Ofold1 @t13 @t384 @t1) @t20))) % 29.24/29.41 (assume @p414 (forall @t263 (or @t68 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t384 @t1) @t20)))) % 29.24/29.41 (assume @p415 (forall @t242 (= @t386 @t36))) % 29.24/29.41 (assume @p416 (forall @t263 (or @t282 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t20 @t20 @t1) @t384)))) % 29.24/29.41 (assume @p417 (forall (@list @t1 @t3 @t57) (or (not (= (tptp.hAPP @t39 @t57) @t38)) (tptp.hBOOL (tptp.c_in @t3 @t57 @t1))))) % 29.24/29.41 (assume @p418 (forall @t242 (= @t36 (tptp.hAPP (tptp.hAPP @t70 @t384) @t33)))) % 29.24/29.41 (assume @p419 (forall @t263 (or @t241 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t384 @t1) @t20)))) % 29.24/29.41 (assume @p420 (= (tptp.hAPP @t440 tptp.v_x) (tptp.c_in tptp.v_x @t440 tptp.t_a))) % 29.24/29.41 (assume @p421 (forall @t479 (or @t464 (tptp.hBOOL (tptp.hAPP @t478 @t477)) (not (tptp.hBOOL (tptp.hAPP @t476 @t474))) @t473))) % 29.24/29.41 (assume @p422 (forall (@list @t273 @t46 @t19 @t48 @t480 @t475 @t481) (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t475) @t484)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t475) @t483))) @t482))) % 29.24/29.41 (assume @p423 (forall @t479 (or @t464 (tptp.hBOOL (tptp.hAPP @t478 @t486)) (not (tptp.hBOOL (tptp.hAPP @t476 @t485))) @t473))) % 29.24/29.41 (assume @p424 (forall @t465 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t487) @t485))))) % 29.24/29.41 (assume @p425 (forall @t488 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t487) @t486))) @t473))) % 29.24/29.41 (assume @p426 (forall @t465 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t489) @t474))))) % 29.24/29.41 (assume @p427 (forall @t493 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t492) @t491)) @t490))) % 29.24/29.41 (assume @p428 (forall @t495 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t494) @t483)) @t482))) % 29.24/29.41 (assume @p429 (forall @t499 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t498) @t497)) @t496))) % 29.24/29.41 (assume @p430 (forall @t488 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t489) @t477))) @t473))) % 29.24/29.41 (assume @p431 (forall @t499 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t481 @t498) @t497))) @t496))) % 29.24/29.41 (assume @p432 (forall @t495 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t494) @t484))) @t482))) % 29.24/29.41 (assume @p433 (forall @t493 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t492) @t491))) @t490))) % 29.24/29.41 (assume @p434 (forall @t465 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t461) @t462))))) % 29.24/29.41 (assume @p435 (forall (@list @t273 @t1 @t46) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 tptp.c_Com_Ocom_OSKIP @t46 @t1)) @t365) @t1))) % 29.24/29.41 (assume @p436 (forall (@list @t273 @t1 @t46 @t19 @t23 @t192 @t48) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 (tptp.c_Com_Ocom_OSemi @t19 @t23) @t192 @t1)) @t365) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t48 @t23 @t192 @t1)) @t365) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 (tptp.hAPP (tptp.hAPP @t367 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 @t19 @t48 @t1)) @t365) @t1))))) % 29.24/29.41 (assume @p437 (forall @t503 (or @t502 @t456 (not @t501)))) % 29.24/29.41 (assume @p438 (forall (@list @t273 @t451 @t1 @t425) (or @t452 @t504))) % 29.24/29.41 (assume @p439 (forall @t391 (tptp.hBOOL (tptp.hAPP @t182 @t3)))) % 29.24/29.41 (assume @p440 (forall @t455 (or @t452 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t453 @t1)) @t454))) % 29.24/29.41 (assume @p441 (forall @t242 (not (= @t38 @t36)))) % 29.24/29.41 (assume @p442 (forall @t508 (or @t507 (= @t445 @t505)))) % 29.24/29.41 (assume @p443 (forall @t508 (or @t507 @t350))) % 29.24/29.41 (assume @p444 (forall @t508 (or @t507 (= @t446 @t506)))) % 29.24/29.41 (assume @p445 (forall @t283 (or @t511 @t510 @t509))) % 29.24/29.41 (assume @p446 (forall @t283 (or @t511 @t512 @t509))) % 29.24/29.41 (assume @p447 (forall @t283 (or @t511 @t510 @t21))) % 29.24/29.41 (assume @p448 (forall @t283 (or @t511 @t512 @t21))) % 29.24/29.41 (assume @p449 (forall @t199 (not (tptp.hBOOL (tptp.hAPP @t38 @t3))))) % 29.24/29.41 (assume @p450 (forall (@list @t273 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t273 @t365 @t1))) % 29.24/29.41 (assume @p451 (forall (@list @t33 @t3 @t12 @t1) (or @t300 (= @t12 @t3) (not @t515)))) % 29.24/29.41 (assume @p452 (forall @t391 (= (tptp.hAPP @t39 @t182) @t182))) % 29.24/29.41 (assume @p453 (forall @t242 (not (= @t36 @t38)))) % 29.24/29.41 (assume @p454 (forall (@list @t5) (or (not (tptp.class_Orderings_Obot @t5)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t211) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t5))))) % 29.24/29.41 (assume @p455 (forall (@list @t1 @t3 @t12 @t33) (= (tptp.hAPP @t39 @t514) (tptp.hAPP @t513 @t182)))) % 29.24/29.41 (assume @p456 (forall (@list @t1 @t57 @t3) (= (tptp.hAPP @t516 @t40) (tptp.hAPP @t39 (tptp.hAPP @t516 @t38))))) % 29.24/29.41 (assume @p457 (forall @t390 (or (not (= @t384 @t388)) @t396))) % 29.24/29.41 (assume @p458 (forall @t503 (or @t501 @t504))) % 29.24/29.41 (assume @p459 (forall (@list @t1 @t12 @t33 @t3) (or @t515 @t304))) % 29.24/29.41 (assume @p460 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_x) tptp.v_xa))) % 29.24/29.41 (assume @p461 @t517) % 29.24/29.41 (assume @p462 (forall @t521 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t520) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t518))))) % 29.24/29.41 (assume @p463 (forall @t521 (or (tptp.class_Lattices_Oupper__semilattice @t520) @t522))) % 29.24/29.41 (assume @p464 (forall @t521 (or (tptp.class_Lattices_Olower__semilattice @t520) @t522))) % 29.24/29.41 (assume @p465 (forall @t521 (or (tptp.class_Lattices_Odistrib__lattice @t520) (not (tptp.class_Lattices_Odistrib__lattice @t518))))) % 29.24/29.41 (assume @p466 (forall @t521 (or (tptp.class_Lattices_Obounded__lattice @t520) (not (tptp.class_Lattices_Obounded__lattice @t518))))) % 29.24/29.41 (assume @p467 (forall @t521 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t520) @t523 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t519))))) % 29.24/29.41 (assume @p468 (forall @t521 (or (tptp.class_Orderings_Opreorder @t520) (not (tptp.class_Orderings_Opreorder @t518))))) % 29.24/29.41 (assume @p469 (forall @t521 (or (tptp.class_Lattices_Olattice @t520) @t522))) % 29.24/29.41 (assume @p470 (forall @t521 (or (tptp.class_Orderings_Oorder @t520) (not (tptp.class_Orderings_Oorder @t518))))) % 29.24/29.41 (assume @p471 (forall @t521 (or (tptp.class_Orderings_Obot @t520) (not (tptp.class_Orderings_Obot @t518))))) % 29.24/29.41 (assume @p472 (forall @t521 (or (tptp.class_HOL_Ominus @t520) (not (tptp.class_HOL_Ominus @t518))))) % 29.24/29.41 (assume @p473 (forall @t521 (or (tptp.class_HOL_Oord @t520) (not (tptp.class_HOL_Oord @t518))))) % 29.24/29.41 (assume @p474 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 29.24/29.41 (assume @p475 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 29.24/29.41 (assume @p476 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 29.24/29.41 (assume @p477 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 29.24/29.41 (assume @p478 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 29.24/29.41 (assume @p479 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 29.24/29.41 (assume @p480 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 29.24/29.41 (assume @p481 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 29.24/29.41 (assume @p482 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 29.24/29.41 (assume @p483 (tptp.class_Orderings_Obot tptp.tc_bool)) % 29.24/29.41 (assume @p484 (tptp.class_HOL_Ominus tptp.tc_bool)) % 29.24/29.41 (assume @p485 (tptp.class_HOL_Oord tptp.tc_bool)) % 29.24/29.41 (assume @p486 (forall (@list @t518) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t518)) @t523))) % 29.24/29.41 (assume @p487 (forall @t199 (tptp.hBOOL (tptp.hAPP @t435 @t3)))) % 29.24/29.41 (assume @p488 (forall (@list @t525 @t524 @t1) (or (= @t525 @t524) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t261 @t525) @t524)))))) % 29.24/29.41 (step @p489 :rule instantiate :premises (@p389) :args ((@list tptp.v_G tptp.t_a tptp.v_c tptp.v_x))) % 29.24/29.41 (assume-push @p496 @t517) % 29.24/29.41 (step @p491 :rule instantiate :premises (@p461) :args ((@list @t526 tptp.v_x))) % 29.24/29.41 (step-pop @p497 :rule scope :premises (@p491)) % 29.24/29.41 (step @p492 :rule process_scope :premises (@p497) :args ((not @t527))) % 29.24/29.41 (step @p494 :rule implies_elim :premises (@p492)) % 29.24/29.41 (step @p495 false :rule chain_m_resolution :premises (@p494 @p489 @p461) :args (false (@list false false) (@list @t527 @t517))) % 29.24/29.41 ) % 29.24/29.41 % SZS output end Proof % 29.24/29.41 % cvc5 exiting %------------------------------------------------------------------------------