%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV827-1 : 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 09:02:27 AM UTC 2026 % Result : Unsatisfiable 34.24s 34.44s % Output : Proof 34.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV827-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:15:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 21.62/21.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.63/27.89 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.73/33.95 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.24/34.44 % SZS status Unsatisfiable % 34.24/34.44 % SZS output start Proof % 34.24/34.45 ( % 34.24/34.45 (declare-sort $$unsorted 0) % 34.24/34.45 (declare-const tptp.v_c $$unsorted) % 34.24/34.45 (declare-const tptp.v_Q_H $$unsorted) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Not $$unsorted) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.tc_Com_Ostate $$unsorted) % 34.24/34.45 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.v_P $$unsorted) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_x $$unsorted) % 34.24/34.45 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_Q $$unsorted) % 34.24/34.45 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_G $$unsorted) % 34.24/34.45 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.tc_bool $$unsorted) % 34.24/34.45 (declare-const tptp.v_R $$unsorted) % 34.24/34.45 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.t_c $$unsorted) % 34.24/34.45 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 34.24/34.45 (declare-const tptp.t_a $$unsorted) % 34.24/34.45 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.t_b $$unsorted) % 34.24/34.45 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 34.24/34.45 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.45 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 34.24/34.45 (define @t1 () (@var "T_a" $$unsorted)) % 34.24/34.45 (define @t2 () (@var "V_S" $$unsorted)) % 34.24/34.45 (define @t3 () (@var "V_x" $$unsorted)) % 34.24/34.45 (define @t4 () (tptp.hBOOL (tptp.c_in @t3 @t2 @t1))) % 34.24/34.45 (define @t5 () (tptp.hBOOL (tptp.hAPP @t2 @t3))) % 34.24/34.45 (define @t6 () (@var "V_R" $$unsorted)) % 34.24/34.45 (define @t7 () (@var "V_Q" $$unsorted)) % 34.24/34.45 (define @t8 () (tptp.hAPP @t7 @t6)) % 34.24/34.45 (define @t9 () (@var "V_P" $$unsorted)) % 34.24/34.45 (define @t10 () (@var "T_c" $$unsorted)) % 34.24/34.45 (define @t11 () (@var "T_b" $$unsorted)) % 34.24/34.45 (define @t12 () (tptp.hAPP @t9 @t6)) % 34.24/34.45 (define @t13 () (@list @t9 @t7 @t6 @t11 @t10 @t1)) % 34.24/34.45 (define @t14 () (tptp.c_COMBI @t1)) % 34.24/34.45 (define @t15 () (@var "V_B" $$unsorted)) % 34.24/34.45 (define @t16 () (@var "V_A" $$unsorted)) % 34.24/34.45 (define @t17 () (tptp.tc_fun @t1 tptp.tc_bool)) % 34.24/34.45 (define @t18 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17)) % 34.24/34.45 (define @t19 () (tptp.hAPP @t18 @t16)) % 34.24/34.45 (define @t20 () (tptp.hAPP @t19 @t15)) % 34.24/34.45 (define @t21 () (@var "V_f" $$unsorted)) % 34.24/34.45 (define @t22 () (tptp.c_Fun_Oinj__on @t21 @t20 @t1 @t11)) % 34.24/34.45 (define @t23 () (tptp.c_Fun_Oinj__on @t21 @t16 @t1 @t11)) % 34.24/34.45 (define @t24 () (not @t23)) % 34.24/34.45 (define @t25 () (tptp.c_Fun_Oinj__on @t21 @t15 @t1 @t11)) % 34.24/34.45 (define @t26 () (not @t25)) % 34.24/34.45 (define @t27 () (tptp.tc_fun @t11 tptp.tc_bool)) % 34.24/34.45 (define @t28 () (tptp.c_Orderings_Obot__class_Obot @t27)) % 34.24/34.45 (define @t29 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t16 @t17)) % 34.24/34.45 (define @t30 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 @t17)) % 34.24/34.45 (define @t31 () (tptp.c_Set_Oimage @t21 @t30 @t1 @t11)) % 34.24/34.45 (define @t32 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27)) % 34.24/34.45 (define @t33 () (= (tptp.hAPP (tptp.hAPP @t32 @t31) (tptp.c_Set_Oimage @t21 @t29 @t1 @t11)) @t28)) % 34.24/34.45 (define @t34 () (@list @t11 @t21 @t16 @t15 @t1)) % 34.24/34.45 (define @t35 () (not @t22)) % 34.24/34.45 (define @t36 () (@list @t16 @t15 @t1)) % 34.24/34.45 (define @t37 () (@var "V_y" $$unsorted)) % 34.24/34.45 (define @t38 () (@var "V_xa" $$unsorted)) % 34.24/34.45 (define @t39 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 34.24/34.45 (define @t40 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 34.24/34.45 (define @t41 () (@var "V_y_H" $$unsorted)) % 34.24/34.45 (define @t42 () (@var "V_x_H" $$unsorted)) % 34.24/34.45 (define @t43 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t41 @t1)) % 34.24/34.45 (define @t44 () (@var "V_N" $$unsorted)) % 34.24/34.45 (define @t45 () (@var "V_M" $$unsorted)) % 34.24/34.45 (define @t46 () (not (tptp.c_lessequals @t45 @t44 @t17))) % 34.24/34.45 (define @t47 () (tptp.c_Orderings_Obot__class_Obot @t17)) % 34.24/34.45 (define @t48 () (= @t45 @t47)) % 34.24/34.45 (define @t49 () (not (tptp.c_Finite__Set_Ofinite @t44 @t1))) % 34.24/34.45 (define @t50 () (not (tptp.class_Orderings_Olinorder @t1))) % 34.24/34.45 (define @t51 () (tptp.c_lessequals @t3 @t37 @t1)) % 34.24/34.45 (define @t52 () (not @t51)) % 34.24/34.45 (define @t53 () (tptp.c_SetInterval_Oord__class_OlessThan @t37 @t1)) % 34.24/34.45 (define @t54 () (tptp.c_SetInterval_Oord__class_OlessThan @t3 @t1)) % 34.24/34.45 (define @t55 () (tptp.c_lessequals @t54 @t53 @t17)) % 34.24/34.45 (define @t56 () (@list @t1 @t3 @t37)) % 34.24/34.45 (define @t57 () (tptp.c_Set_Oimage @t21 @t15 @t11 @t1)) % 34.24/34.45 (define @t58 () (tptp.c_Set_Oimage @t21 @t16 @t11 @t1)) % 34.24/34.45 (define @t59 () (@var "V_C" $$unsorted)) % 34.24/34.45 (define @t60 () (tptp.hAPP @t19 @t59)) % 34.24/34.45 (define @t61 () (tptp.hAPP @t18 @t15)) % 34.24/34.45 (define @t62 () (tptp.hAPP @t61 @t59)) % 34.24/34.45 (define @t63 () (tptp.hAPP @t19 @t62)) % 34.24/34.45 (define @t64 () (@list @t1 @t16 @t15 @t59)) % 34.24/34.45 (define @t65 () (@var "V_z" $$unsorted)) % 34.24/34.45 (define @t66 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t1)) % 34.24/34.45 (define @t67 () (tptp.hAPP @t66 @t37)) % 34.24/34.45 (define @t68 () (tptp.hAPP @t67 @t65)) % 34.24/34.45 (define @t69 () (tptp.hAPP @t66 @t3)) % 34.24/34.45 (define @t70 () (tptp.hAPP @t69 @t68)) % 34.24/34.45 (define @t71 () (tptp.hAPP @t69 @t37)) % 34.24/34.45 (define @t72 () (= (tptp.hAPP (tptp.hAPP @t66 @t71) @t65) @t70)) % 34.24/34.45 (define @t73 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 34.24/34.45 (define @t74 () (@list @t1 @t3 @t37 @t65)) % 34.24/34.45 (define @t75 () (tptp.hAPP @t69 @t65)) % 34.24/34.45 (define @t76 () (= @t70 (tptp.hAPP @t67 @t75))) % 34.24/34.45 (define @t77 () (not (tptp.class_Lattices_Olattice @t1))) % 34.24/34.45 (define @t78 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17)) % 34.24/34.45 (define @t79 () (tptp.hAPP @t78 @t16)) % 34.24/34.45 (define @t80 () (tptp.hAPP @t79 @t15)) % 34.24/34.45 (define @t81 () (@var "V_c" $$unsorted)) % 34.24/34.45 (define @t82 () (tptp.hBOOL (tptp.c_in @t81 @t80 @t1))) % 34.24/34.45 (define @t83 () (not @t82)) % 34.24/34.45 (define @t84 () (tptp.hBOOL (tptp.c_in @t81 @t15 @t1))) % 34.24/34.45 (define @t85 () (@list @t81 @t15 @t1 @t16)) % 34.24/34.45 (define @t86 () (tptp.hBOOL (tptp.c_in @t81 @t16 @t1))) % 34.24/34.45 (define @t87 () (@list @t81 @t16 @t1 @t15)) % 34.24/34.45 (define @t88 () (= @t3 @t37)) % 34.24/34.45 (define @t89 () (tptp.hBOOL (tptp.c_in @t3 @t16 @t1))) % 34.24/34.45 (define @t90 () (not @t89)) % 34.24/34.45 (define @t91 () (not (tptp.hBOOL (tptp.c_in @t37 @t16 @t1)))) % 34.24/34.45 (define @t92 () (tptp.hAPP @t21 @t3)) % 34.24/34.45 (define @t93 () (not (= @t92 (tptp.hAPP @t21 @t37)))) % 34.24/34.45 (define @t94 () (@list @t21 @t3 @t37 @t16 @t1 @t11)) % 34.24/34.45 (define @t95 () (not (tptp.hBOOL (tptp.c_in @t38 @t16 @t1)))) % 34.24/34.45 (define @t96 () (tptp.c_lessequals @t16 @t15 @t17)) % 34.24/34.45 (define @t97 () (not @t96)) % 34.24/34.45 (define @t98 () (@list @t1 @t16 @t15)) % 34.24/34.45 (define @t99 () (not (tptp.c_lessequals @t15 @t16 @t17))) % 34.24/34.45 (define @t100 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1)) % 34.24/34.45 (define @t101 () (tptp.hAPP @t100 @t3)) % 34.24/34.45 (define @t102 () (tptp.hAPP @t101 @t37)) % 34.24/34.45 (define @t103 () (= @t102 @t3)) % 34.24/34.45 (define @t104 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 34.24/34.45 (define @t105 () (tptp.c_lessequals @t37 @t3 @t1)) % 34.24/34.45 (define @t106 () (not @t105)) % 34.24/34.45 (define @t107 () (tptp.c_lessequals @t16 @t59 @t17)) % 34.24/34.45 (define @t108 () (not @t107)) % 34.24/34.45 (define @t109 () (tptp.c_lessequals @t15 @t59 @t17)) % 34.24/34.45 (define @t110 () (not @t109)) % 34.24/34.45 (define @t111 () (tptp.c_lessequals @t20 @t59 @t17)) % 34.24/34.45 (define @t112 () (@list @t16 @t1 @t15)) % 34.24/34.45 (define @t113 () (@var "V_a" $$unsorted)) % 34.24/34.45 (define @t114 () (tptp.c_lessequals @t113 @t3 @t1)) % 34.24/34.45 (define @t115 () (not @t114)) % 34.24/34.45 (define @t116 () (@var "V_b" $$unsorted)) % 34.24/34.45 (define @t117 () (tptp.c_lessequals @t116 @t3 @t1)) % 34.24/34.45 (define @t118 () (not @t117)) % 34.24/34.45 (define @t119 () (tptp.hAPP @t66 @t113)) % 34.24/34.45 (define @t120 () (tptp.hAPP @t119 @t116)) % 34.24/34.45 (define @t121 () (tptp.c_lessequals @t120 @t3 @t1)) % 34.24/34.45 (define @t122 () (@list @t1 @t113 @t116 @t3)) % 34.24/34.45 (define @t123 () (tptp.c_lessequals @t3 @t71 @t1)) % 34.24/34.45 (define @t124 () (tptp.c_lessequals @t37 @t71 @t1)) % 34.24/34.45 (define @t125 () (@list @t1 @t37 @t3)) % 34.24/34.45 (define @t126 () (tptp.c_lessequals @t65 @t3 @t1)) % 34.24/34.45 (define @t127 () (@list @t1 @t37 @t65 @t3)) % 34.24/34.45 (define @t128 () (tptp.c_lessequals @t3 @t65 @t1)) % 34.24/34.45 (define @t129 () (not @t128)) % 34.24/34.45 (define @t130 () (tptp.c_lessequals @t37 @t65 @t1)) % 34.24/34.45 (define @t131 () (not @t130)) % 34.24/34.45 (define @t132 () (tptp.c_lessequals @t71 @t65 @t1)) % 34.24/34.45 (define @t133 () (tptp.hAPP @t78 @t15)) % 34.24/34.45 (define @t134 () (tptp.hAPP @t133 @t16)) % 34.24/34.45 (define @t135 () (tptp.hAPP @t100 @t37)) % 34.24/34.45 (define @t136 () (tptp.hAPP @t135 @t3)) % 34.24/34.45 (define @t137 () (= @t102 @t136)) % 34.24/34.45 (define @t138 () (tptp.hAPP @t19 @t29)) % 34.24/34.45 (define @t139 () (@var "V_com2_H" $$unsorted)) % 34.24/34.45 (define @t140 () (@var "V_com1_H" $$unsorted)) % 34.24/34.45 (define @t141 () (@var "V_fun_H" $$unsorted)) % 34.24/34.45 (define @t142 () (tptp.c_Com_Ocom_OCond @t141 @t140 @t139)) % 34.24/34.45 (define @t143 () (@list @t141 @t140 @t139)) % 34.24/34.45 (define @t144 () (tptp.hAPP @t101 @t68)) % 34.24/34.45 (define @t145 () (tptp.hAPP @t101 @t65)) % 34.24/34.45 (define @t146 () (tptp.hAPP (tptp.hAPP @t66 @t102) @t145)) % 34.24/34.45 (define @t147 () (tptp.hAPP @t18 @t59)) % 34.24/34.45 (define @t148 () (tptp.hAPP @t147 @t16)) % 34.24/34.45 (define @t149 () (tptp.hAPP @t78 @t20)) % 34.24/34.45 (define @t150 () (tptp.hAPP @t78 @t59)) % 34.24/34.45 (define @t151 () (tptp.hAPP @t150 @t16)) % 34.24/34.45 (define @t152 () (tptp.hAPP @t133 @t59)) % 34.24/34.45 (define @t153 () (tptp.hAPP @t18 @t80)) % 34.24/34.45 (define @t154 () (tptp.c_COMBK @t81 @t1 @t11)) % 34.24/34.45 (define @t155 () (tptp.hBOOL (tptp.hAPP @t9 @t113))) % 34.24/34.45 (define @t156 () (tptp.c_Collect @t9 @t1)) % 34.24/34.45 (define @t157 () (tptp.hBOOL (tptp.c_in @t113 @t156 @t1))) % 34.24/34.45 (define @t158 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t28 @t15 @t11 @t17)) % 34.24/34.45 (define @t159 () (tptp.c_Set_Oinsert @t1)) % 34.24/34.45 (define @t160 () (tptp.hAPP @t159 @t113)) % 34.24/34.45 (define @t161 () (tptp.hAPP @t160 @t47)) % 34.24/34.45 (define @t162 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t161 @t17)) % 34.24/34.45 (define @t163 () (tptp.hAPP @t21 @t113)) % 34.24/34.45 (define @t164 () (tptp.hBOOL (tptp.c_in @t163 (tptp.c_Set_Oimage @t21 @t162 @t1 @t11) @t11))) % 34.24/34.45 (define @t165 () (tptp.hAPP @t160 @t16)) % 34.24/34.45 (define @t166 () (tptp.c_Fun_Oinj__on @t21 @t165 @t1 @t11)) % 34.24/34.45 (define @t167 () (@list @t1 @t3)) % 34.24/34.45 (define @t168 () (@list @t1 @t16)) % 34.24/34.45 (define @t169 () (tptp.hBOOL (tptp.c_in @t3 (tptp.hAPP @t79 @t156) @t1))) % 34.24/34.45 (define @t170 () (not @t169)) % 34.24/34.45 (define @t171 () (tptp.hBOOL (tptp.hAPP @t9 @t3))) % 34.24/34.45 (define @t172 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 34.24/34.45 (define @t173 () (tptp.hAPP @t79 @t59)) % 34.24/34.45 (define @t174 () (tptp.hAPP @t79 @t62)) % 34.24/34.45 (define @t175 () (@list @t1 @t15 @t59 @t16)) % 34.24/34.45 (define @t176 () (@var "V_g" $$unsorted)) % 34.24/34.45 (define @t177 () (tptp.hAPP @t176 tptp.v_x)) % 34.24/34.45 (define @t178 () (tptp.hAPP @t21 tptp.v_x)) % 34.24/34.45 (define @t179 () (tptp.tc_fun tptp.t_a @t11)) % 34.24/34.45 (define @t180 () (not (tptp.class_Lattices_Olattice @t11))) % 34.24/34.45 (define @t181 () (@list @t11 @t21 @t176)) % 34.24/34.45 (define @t182 () (not (= @t80 @t47))) % 34.24/34.45 (define @t183 () (tptp.c_Set_Oinsert @t11)) % 34.24/34.45 (define @t184 () (not (tptp.hBOOL (tptp.c_in @t3 @t16 @t11)))) % 34.24/34.45 (define @t185 () (tptp.c_Finite__Set_Ofinite @t16 @t1)) % 34.24/34.45 (define @t186 () (not @t185)) % 34.24/34.45 (define @t187 () (tptp.c_Set_Oimage @t21 @t16 @t1 @t11)) % 34.24/34.45 (define @t188 () (not (tptp.c_Fun_Oinj__on @t21 @t59 @t1 @t11))) % 34.24/34.45 (define @t189 () (tptp.c_Set_Oimage @t21 @t15 @t1 @t11)) % 34.24/34.45 (define @t190 () (tptp.hAPP @t159 @t3)) % 34.24/34.45 (define @t191 () (tptp.hAPP @t190 @t15)) % 34.24/34.45 (define @t192 () (tptp.c_lessequals @t16 @t191 @t17)) % 34.24/34.45 (define @t193 () (not @t192)) % 34.24/34.45 (define @t194 () (tptp.hAPP @t190 @t47)) % 34.24/34.45 (define @t195 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t16 @t194 @t17) @t15 @t17)) % 34.24/34.45 (define @t196 () (@list @t16 @t1 @t3 @t15)) % 34.24/34.45 (define @t197 () (not @t195)) % 34.24/34.45 (define @t198 () (@list @t21 @t16 @t1)) % 34.24/34.45 (define @t199 () (@var "V_i" $$unsorted)) % 34.24/34.45 (define @t200 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t11))) % 34.24/34.45 (define @t201 () (tptp.hBOOL (tptp.c_in @t113 @t16 @t1))) % 34.24/34.45 (define @t202 () (not @t201)) % 34.24/34.45 (define @t203 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t16 @t15 @t1 @t27)) % 34.24/34.45 (define @t204 () (tptp.hAPP @t15 @t113)) % 34.24/34.45 (define @t205 () (tptp.hBOOL (tptp.c_in @t3 @t15 @t1))) % 34.24/34.45 (define @t206 () (not @t205)) % 34.24/34.45 (define @t207 () (tptp.hAPP @t190 @t16)) % 34.24/34.45 (define @t208 () (tptp.c_HOL_Ominus__class_Ominus @t207 @t15 @t17)) % 34.24/34.45 (define @t209 () (@list @t1 @t3 @t16 @t15)) % 34.24/34.45 (define @t210 () (@var "V_Y" $$unsorted)) % 34.24/34.45 (define @t211 () (@var "V_com_H" $$unsorted)) % 34.24/34.45 (define @t212 () (tptp.c_Com_Ocom_OWhile @t141 @t211)) % 34.24/34.45 (define @t213 () (@list @t141 @t211)) % 34.24/34.45 (define @t214 () (= @t16 @t47)) % 34.24/34.45 (define @t215 () (tptp.c_Finite__Set_Ofold1 @t100 @t16 @t1)) % 34.24/34.45 (define @t216 () (tptp.c_Finite__Set_Ofinite @t30 @t1)) % 34.24/34.45 (define @t217 () (tptp.c_Complete__Lattice_OInf__class_OInf @t16 @t1)) % 34.24/34.45 (define @t218 () (tptp.hAPP @t100 @t113)) % 34.24/34.45 (define @t219 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 34.24/34.45 (define @t220 () (@list @t1 @t113 @t16)) % 34.24/34.45 (define @t221 () (@list @t1)) % 34.24/34.45 (define @t222 () (@var "V_com2" $$unsorted)) % 34.24/34.45 (define @t223 () (= @t222 @t139)) % 34.24/34.45 (define @t224 () (tptp.c_Com_Ocom_OSemi @t140 @t139)) % 34.24/34.45 (define @t225 () (@var "V_com1" $$unsorted)) % 34.24/34.45 (define @t226 () (tptp.c_Com_Ocom_OSemi @t225 @t222)) % 34.24/34.45 (define @t227 () (not (= @t226 @t224))) % 34.24/34.45 (define @t228 () (@list @t225 @t222 @t140 @t139)) % 34.24/34.45 (define @t229 () (= @t225 @t140)) % 34.24/34.45 (define @t230 () (tptp.c_Complete__Lattice_OSup__class_OSup @t16 @t1)) % 34.24/34.45 (define @t231 () (not (tptp.c_Finite__Set_Ofinite @t15 @t1))) % 34.24/34.45 (define @t232 () (not @t216)) % 34.24/34.45 (define @t233 () (tptp.hAPP @t15 @t3)) % 34.24/34.45 (define @t234 () (= @t233 @t47)) % 34.24/34.45 (define @t235 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t16 @t15 @t11 @t17)) % 34.24/34.45 (define @t236 () (@var "V_fun" $$unsorted)) % 34.24/34.45 (define @t237 () (tptp.c_Com_Ocom_OCond @t236 @t225 @t222)) % 34.24/34.45 (define @t238 () (tptp.hBOOL (tptp.c_in @t81 @t30 @t1))) % 34.24/34.45 (define @t239 () (not @t238)) % 34.24/34.45 (define @t240 () (= @t16 @t15)) % 34.24/34.45 (define @t241 () (@list @t21 @t16 @t1 @t11 @t15)) % 34.24/34.45 (define @t242 () (not @t84)) % 34.24/34.45 (define @t243 () (@var "V_I" $$unsorted)) % 34.24/34.45 (define @t244 () (tptp.hAPP @t16 @t3)) % 34.24/34.45 (define @t245 () (@var "V_k" $$unsorted)) % 34.24/34.45 (define @t246 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t243 @t16 @t1 @t27)) % 34.24/34.45 (define @t247 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27)) % 34.24/34.45 (define @t248 () (not (= @t237 @t142))) % 34.24/34.45 (define @t249 () (@list @t236 @t225 @t222 @t141 @t140 @t139)) % 34.24/34.45 (define @t250 () (= @t236 @t141)) % 34.24/34.45 (define @t251 () (@list @t21 @t11 @t16 @t15 @t1)) % 34.24/34.45 (define @t252 () (@var "V_F" $$unsorted)) % 34.24/34.45 (define @t253 () (tptp.c_Finite__Set_Ofinite @t252 @t1)) % 34.24/34.45 (define @t254 () (not @t253)) % 34.24/34.45 (define @t255 () (@var "V_G" $$unsorted)) % 34.24/34.45 (define @t256 () (tptp.c_Finite__Set_Ofinite @t255 @t1)) % 34.24/34.45 (define @t257 () (not @t256)) % 34.24/34.45 (define @t258 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t18 @t252) @t255) @t1)) % 34.24/34.45 (define @t259 () (@list @t1 @t252 @t255)) % 34.24/34.45 (define @t260 () (tptp.c_lessequals @t81 @t113 @t1)) % 34.24/34.45 (define @t261 () (@var "V_d" $$unsorted)) % 34.24/34.45 (define @t262 () (tptp.c_lessequals @t116 @t261 @t1)) % 34.24/34.45 (define @t263 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t113 @t116 @t1)) % 34.24/34.45 (define @t264 () (tptp.c_lessequals @t263 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t81 @t261 @t1) @t17)) % 34.24/34.45 (define @t265 () (not (tptp.class_Orderings_Oorder @t1))) % 34.24/34.45 (define @t266 () (@list @t1 @t113 @t116 @t81 @t261)) % 34.24/34.45 (define @t267 () (not @t264)) % 34.24/34.45 (define @t268 () (tptp.c_lessequals @t113 @t116 @t1)) % 34.24/34.45 (define @t269 () (not @t268)) % 34.24/34.45 (define @t270 () (tptp.c_lessequals @t59 @t16 @t17)) % 34.24/34.45 (define @t271 () (= (tptp.hAPP @t153 @t59) @t174)) % 34.24/34.45 (define @t272 () (not @t270)) % 34.24/34.45 (define @t273 () (tptp.hAPP @t176 @t3)) % 34.24/34.45 (define @t274 () (tptp.hAPP @t21 @t273)) % 34.24/34.45 (define @t275 () (tptp.hAPP (tptp.c_Fun_Ocomp @t21 @t176 @t11 @t1 @t10) @t3)) % 34.24/34.45 (define @t276 () (@var "V_v" $$unsorted)) % 34.24/34.45 (define @t277 () (tptp.c_Fun_Ocomp @t113 @t116 @t10 @t11 @t1)) % 34.24/34.45 (define @t278 () (tptp.hAPP @t113 (tptp.hAPP @t116 @t276))) % 34.24/34.45 (define @t279 () (tptp.hBOOL (tptp.hAPP @t20 @t3))) % 34.24/34.45 (define @t280 () (tptp.hBOOL @t244)) % 34.24/34.45 (define @t281 () (tptp.hBOOL @t233)) % 34.24/34.45 (define @t282 () (not @t281)) % 34.24/34.45 (define @t283 () (@list @t1 @t16 @t15 @t3)) % 34.24/34.45 (define @t284 () (not @t280)) % 34.24/34.45 (define @t285 () (tptp.c_Set_Oimage @t21 @t16 @t1 @t1)) % 34.24/34.45 (define @t286 () (tptp.c_Fun_Oinj__on @t21 @t16 @t1 @t1)) % 34.24/34.45 (define @t287 () (tptp.hBOOL (tptp.c_in @t81 @t20 @t1))) % 34.24/34.45 (define @t288 () (tptp.hAPP @t135 @t65)) % 34.24/34.45 (define @t289 () (tptp.hAPP @t101 @t288)) % 34.24/34.45 (define @t290 () (= (tptp.hAPP (tptp.hAPP @t100 @t102) @t65) @t289)) % 34.24/34.45 (define @t291 () (= @t289 (tptp.hAPP @t135 @t145))) % 34.24/34.45 (define @t292 () (tptp.hAPP @t79 @t152)) % 34.24/34.45 (define @t293 () (not @t258)) % 34.24/34.45 (define @t294 () (tptp.c_HOL_Ominus__class_Ominus @t173 @t152 @t17)) % 34.24/34.45 (define @t295 () (tptp.hAPP @t78 @t30)) % 34.24/34.45 (define @t296 () (@var "V_D" $$unsorted)) % 34.24/34.45 (define @t297 () (@list @t3 @t15 @t1 @t16)) % 34.24/34.45 (define @t298 () (tptp.hAPP (tptp.hAPP @t100 @t71) @t75)) % 34.24/34.45 (define @t299 () (tptp.hAPP @t69 @t288)) % 34.24/34.45 (define @t300 () (tptp.hAPP @t18 @t30)) % 34.24/34.45 (define @t301 () (= @t71 @t37)) % 34.24/34.45 (define @t302 () (= @t20 @t15)) % 34.24/34.45 (define @t303 () (not @t86)) % 34.24/34.45 (define @t304 () (tptp.c_lessequals @t207 @t15 @t17)) % 34.24/34.45 (define @t305 () (not @t304)) % 34.24/34.45 (define @t306 () (@list @t16 @t15 @t1 @t3)) % 34.24/34.45 (define @t307 () (tptp.hAPP @t160 @t15)) % 34.24/34.45 (define @t308 () (tptp.hAPP @t79 @t307)) % 34.24/34.45 (define @t309 () (@list @t1 @t16 @t113 @t15)) % 34.24/34.45 (define @t310 () (tptp.hBOOL (tptp.c_in @t113 @t59 @t1))) % 34.24/34.45 (define @t311 () (tptp.hAPP (tptp.hAPP @t78 @t307) @t59)) % 34.24/34.45 (define @t312 () (@list @t1 @t113 @t15 @t59)) % 34.24/34.45 (define @t313 () (tptp.hAPP @t61 @t16)) % 34.24/34.45 (define @t314 () (tptp.c_lessequals @t59 @t80 @t17)) % 34.24/34.45 (define @t315 () (not @t314)) % 34.24/34.45 (define @t316 () (tptp.c_lessequals @t59 @t15 @t17)) % 34.24/34.45 (define @t317 () (tptp.hAPP @t218 @t116)) % 34.24/34.45 (define @t318 () (tptp.c_lessequals @t3 @t317 @t1)) % 34.24/34.45 (define @t319 () (not @t318)) % 34.24/34.45 (define @t320 () (tptp.c_lessequals @t3 @t113 @t1)) % 34.24/34.45 (define @t321 () (@list @t1 @t3 @t113 @t116)) % 34.24/34.45 (define @t322 () (tptp.c_lessequals @t3 @t116 @t1)) % 34.24/34.45 (define @t323 () (tptp.c_lessequals @t317 @t3 @t1)) % 34.24/34.45 (define @t324 () (tptp.c_lessequals @t3 @t288 @t1)) % 34.24/34.45 (define @t325 () (not @t324)) % 34.24/34.45 (define @t326 () (@list @t1 @t3 @t65 @t37)) % 34.24/34.45 (define @t327 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t59 @t17)) % 34.24/34.45 (define @t328 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t59 @t17)) % 34.24/34.45 (define @t329 () (@var "V_top" $$unsorted)) % 34.24/34.45 (define @t330 () (@var "V_bot" $$unsorted)) % 34.24/34.45 (define @t331 () (@var "V_sup" $$unsorted)) % 34.24/34.45 (define @t332 () (@var "V_inf" $$unsorted)) % 34.24/34.45 (define @t333 () (@var "V_less" $$unsorted)) % 34.24/34.45 (define @t334 () (@var "V_less__eq" $$unsorted)) % 34.24/34.45 (define @t335 () (@var "V_Sup" $$unsorted)) % 34.24/34.45 (define @t336 () (@var "V_Inf" $$unsorted)) % 34.24/34.45 (define @t337 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t336 @t335 @t334 @t333 @t332 @t331 @t330 @t329 @t1))) % 34.24/34.45 (define @t338 () (tptp.hAPP @t336 @t16)) % 34.24/34.45 (define @t339 () (tptp.hAPP @t335 @t16)) % 34.24/34.45 (define @t340 () (tptp.hAPP @t67 @t3)) % 34.24/34.45 (define @t341 () (= @t71 @t340)) % 34.24/34.45 (define @t342 () (@var "V_com" $$unsorted)) % 34.24/34.45 (define @t343 () (not (= (tptp.c_Com_Ocom_OWhile @t236 @t342) @t212))) % 34.24/34.45 (define @t344 () (@list @t236 @t342 @t141 @t211)) % 34.24/34.45 (define @t345 () (= @t342 @t211)) % 34.24/34.45 (define @t346 () (= (tptp.hAPP @t69 @t71) @t71)) % 34.24/34.45 (define @t347 () (tptp.hBOOL (tptp.hAPP @t203 @t116))) % 34.24/34.45 (define @t348 () (not @t166)) % 34.24/34.45 (define @t349 () (tptp.hBOOL (tptp.hAPP @t80 @t3))) % 34.24/34.45 (define @t350 () (not @t349)) % 34.24/34.45 (define @t351 () (@var "T_aa" $$unsorted)) % 34.24/34.45 (define @t352 () (tptp.hBOOL (tptp.c_in @t92 @t58 @t1))) % 34.24/34.45 (define @t353 () (@list @t3 @t16 @t11 @t21 @t1)) % 34.24/34.45 (define @t354 () (tptp.c_lessequals @t16 @t62 @t17)) % 34.24/34.45 (define @t355 () (tptp.c_lessequals @t30 @t59 @t17)) % 34.24/34.45 (define @t356 () (@list @t16 @t1 @t15 @t59)) % 34.24/34.45 (define @t357 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t78 @t252) @t255) @t1)) % 34.24/34.45 (define @t358 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 34.24/34.45 (define @t359 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 34.24/34.45 (define @t360 () (not (= (tptp.hAPP (tptp.hAPP @t66 @t16) @t15) @t358))) % 34.24/34.45 (define @t361 () (tptp.hAPP @t18 @t47)) % 34.24/34.45 (define @t362 () (= @t16 @t28)) % 34.24/34.45 (define @t363 () (not @t171)) % 34.24/34.45 (define @t364 () (not (tptp.hBOOL (tptp.c_in @t3 @t47 @t1)))) % 34.24/34.45 (define @t365 () (@list @t3 @t1)) % 34.24/34.46 (define @t366 () (@list @t9 @t3 @t1)) % 34.24/34.46 (define @t367 () (@list @t113 @t1)) % 34.24/34.46 (define @t368 () (@list @t16 @t1)) % 34.24/34.46 (define @t369 () (@list @t21 @t1 @t3)) % 34.24/34.46 (define @t370 () (@list @t1 @t15)) % 34.24/34.46 (define @t371 () (tptp.c_Set_Oimage @t21 @t28 @t11 @t1)) % 34.24/34.46 (define @t372 () (not (= @t20 @t47))) % 34.24/34.46 (define @t373 () (tptp.hAPP @t160 @t162)) % 34.24/34.46 (define @t374 () (tptp.hAPP @t159 @t81)) % 34.24/34.46 (define @t375 () (tptp.hAPP @t159 @t116)) % 34.24/34.46 (define @t376 () (tptp.hAPP @t375 @t47)) % 34.24/34.46 (define @t377 () (tptp.hAPP @t160 @t376)) % 34.24/34.46 (define @t378 () (@list @t1 @t113 @t116)) % 34.24/34.46 (define @t379 () (@var "V_h" $$unsorted)) % 34.24/34.46 (define @t380 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 34.24/34.46 (define @t381 () (tptp.hAPP @t183 @t113)) % 34.24/34.46 (define @t382 () (@list @t1 @t16 @t3)) % 34.24/34.46 (define @t383 () (= @t47 @t263)) % 34.24/34.46 (define @t384 () (tptp.hAPP @t160 @t80)) % 34.24/34.46 (define @t385 () (not (tptp.c_lessequals @t15 @t296 @t17))) % 34.24/34.46 (define @t386 () (@list @t1 @t16 @t15 @t59 @t296)) % 34.24/34.46 (define @t387 () (tptp.c_lessequals @t102 @t3 @t1)) % 34.24/34.46 (define @t388 () (tptp.c_lessequals @t102 @t37 @t1)) % 34.24/34.46 (define @t389 () (not @t320)) % 34.24/34.46 (define @t390 () (not @t322)) % 34.24/34.46 (define @t391 () (@var "T_d" $$unsorted)) % 34.24/34.46 (define @t392 () (@list @t140 @t139)) % 34.24/34.46 (define @t393 () (= (tptp.hAPP @t101 @t102) @t102)) % 34.24/34.46 (define @t394 () (not (tptp.c_Finite__Set_Ofun__left__comm__idem @t21 @t1 @t11))) % 34.24/34.46 (define @t395 () (tptp.hAPP @t92 @t65)) % 34.24/34.46 (define @t396 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t307 @t17)) % 34.24/34.46 (define @t397 () (tptp.c_Finite__Set_Ofinite @t396 @t1)) % 34.24/34.46 (define @t398 () (@list @t16 @t1 @t113 @t15)) % 34.24/34.46 (define @t399 () (@var "V_r" $$unsorted)) % 34.24/34.46 (define @t400 () (@list @t81 @t1 @t16 @t15)) % 34.24/34.46 (define @t401 () (not @t132)) % 34.24/34.46 (define @t402 () (tptp.c_lessequals @t3 @t120 @t1)) % 34.24/34.46 (define @t403 () (not @t121)) % 34.24/34.46 (define @t404 () (not @t111)) % 34.24/34.46 (define @t405 () (@list @t16 @t59 @t1 @t15)) % 34.24/34.46 (define @t406 () (tptp.c_Finite__Set_Olinorder__class_OMax @t16 @t1)) % 34.24/34.46 (define @t407 () (not (tptp.class_Orderings_Opreorder @t1))) % 34.24/34.46 (define @t408 () (@var "V_t" $$unsorted)) % 34.24/34.46 (define @t409 () (not (tptp.c_lessequals @t9 @t7 @t17))) % 34.24/34.46 (define @t410 () (tptp.hBOOL (tptp.hAPP @t7 @t3))) % 34.24/34.46 (define @t411 () (@list @t7 @t3 @t9 @t1)) % 34.24/34.46 (define @t412 () (tptp.c_lessequals @t3 @t3 @t1)) % 34.24/34.46 (define @t413 () (= @t263 @t47)) % 34.24/34.46 (define @t414 () (tptp.c_Finite__Set_Olinorder__class_OMin @t16 @t1)) % 34.24/34.46 (define @t415 () (@var "T_e" $$unsorted)) % 34.24/34.46 (define @t416 () (@var "V_g_H" $$unsorted)) % 34.24/34.46 (define @t417 () (@var "V_f_H" $$unsorted)) % 34.24/34.46 (define @t418 () (tptp.hAPP (tptp.hAPP @t247 @t16) @t15)) % 34.24/34.46 (define @t419 () (tptp.c_fequal @t3 @t1)) % 34.24/34.46 (define @t420 () (tptp.c_lessequals @t41 @t42 @t1)) % 34.24/34.46 (define @t421 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t37 @t1) @t43))) % 34.24/34.46 (define @t422 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 34.24/34.46 (define @t423 () (@list @t1 @t3 @t37 @t42 @t41)) % 34.24/34.46 (define @t424 () (@var "V_u" $$unsorted)) % 34.24/34.46 (define @t425 () (@var "V_l" $$unsorted)) % 34.24/34.46 (define @t426 () (@list @t1 @t3 @t16)) % 34.24/34.46 (define @t427 () (tptp.hAPP (tptp.hAPP @t159 @t245) @t47)) % 34.24/34.46 (define @t428 () (tptp.hBOOL (tptp.c_in @t113 (tptp.hAPP @t375 @t16) @t1))) % 34.24/34.46 (define @t429 () (tptp.hAPP @t375 @t15)) % 34.24/34.46 (define @t430 () (tptp.hAPP @t332 @t113)) % 34.24/34.46 (define @t431 () (tptp.hAPP @t331 @t113)) % 34.24/34.46 (define @t432 () (= @t113 @t116)) % 34.24/34.46 (define @t433 () (tptp.c_Finite__Set_Ofinite @t165 @t1)) % 34.24/34.46 (define @t434 () (@var "V_xc" $$unsorted)) % 34.24/34.46 (define @t435 () (@var "V_xb" $$unsorted)) % 34.24/34.46 (define @t436 () (@var "V_f1" $$unsorted)) % 34.24/34.46 (define @t437 () (@var "V_fun2" $$unsorted)) % 34.24/34.46 (define @t438 () (@var "V_fun1" $$unsorted)) % 34.24/34.46 (define @t439 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t436 @t438) @t342) @t437)) % 34.24/34.46 (define @t440 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t438 @t342 @t437 @t11)) % 34.24/34.46 (define @t441 () (@list @t436 @t438 @t342 @t437 @t11 @t1)) % 34.24/34.46 (define @t442 () (@var "V_ts_H" $$unsorted)) % 34.24/34.46 (define @t443 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 34.24/34.46 (define @t444 () (tptp.tc_fun @t443 tptp.tc_bool)) % 34.24/34.46 (define @t445 () (@var "V_ts" $$unsorted)) % 34.24/34.46 (define @t446 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 @t445 @t1)) % 34.24/34.46 (define @t447 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 34.24/34.46 (define @t448 () (tptp.hAPP tptp.v_P tptp.v_R)) % 34.24/34.46 (define @t449 () (tptp.c_Orderings_Obot__class_Obot @t444)) % 34.24/34.46 (define @t450 () (tptp.c_Hoare__Mirabelle_Opeek__and @t9 @t116 @t1)) % 34.24/34.46 (define @t451 () (tptp.c_Set_Oinsert @t443)) % 34.24/34.46 (define @t452 () (tptp.c_Hoare__Mirabelle_Opeek__and @t9 (tptp.c_Fun_Ocomp tptp.c_Not @t116 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t1)) % 34.24/34.46 (define @t453 () (@list @t1 @t113)) % 34.24/34.46 (define @t454 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t194 @t1)) % 34.24/34.46 (define @t455 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 34.24/34.46 (define @t456 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t455 tptp.tc_bool))) % 34.24/34.46 (define @t457 () (tptp.c_Set_Oinsert @t455)) % 34.24/34.46 (define @t458 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t457 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t3 @t81 @t38 tptp.t_a)) @t456) tptp.t_a))) % 34.24/34.46 (define @t459 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t255 @t9 @t7 @t81)) % 34.24/34.46 (define @t460 () (@var "V_Z_H" $$unsorted)) % 34.24/34.46 (define @t461 () (tptp.hAPP @t3 @t460)) % 34.24/34.46 (define @t462 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t255 @t9 @t7 @t81 @t3 @t38)) % 34.24/34.46 (define @t463 () (tptp.hAPP @t38 @t460)) % 34.24/34.46 (define @t464 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t457 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t9 @t81 @t7 tptp.t_a)) @t456) tptp.t_a)) % 34.24/34.46 (define @t465 () (@list @t255 @t9 @t81 @t7 @t38 @t460 @t3)) % 34.24/34.46 (define @t466 () (@var "V_Q_H" $$unsorted)) % 34.24/34.46 (define @t467 () (@var "V_P_H" $$unsorted)) % 34.24/34.46 (define @t468 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t457 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t467 @t81 @t466 tptp.t_a)) @t456) tptp.t_a))) % 34.24/34.46 (define @t469 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t9 @t467 @t7 @t466)) % 34.24/34.46 (define @t470 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t9 @t467 @t7 @t466)) % 34.24/34.46 (define @t471 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t255 @t9 @t7 @t81)) % 34.24/34.46 (define @t472 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t255 @t9 @t7 @t81 @t3 @t38)) % 34.24/34.46 (define @t473 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t255 @t9 @t7 @t81)) % 34.24/34.46 (define @t474 () (@list @t255 @t9 @t81 @t7)) % 34.24/34.46 (define @t475 () (@list @t255 @t9 @t81 @t7 @t3 @t38)) % 34.24/34.46 (define @t476 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t255 @t9 @t7 @t81)) % 34.24/34.46 (define @t477 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t9 @t467 @t7 @t466)) % 34.24/34.46 (define @t478 () (@list @t255 @t9 @t81 @t7 @t467 @t466)) % 34.24/34.46 (define @t479 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t457 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t467 @t81 @t7 tptp.t_a)) @t456) tptp.t_a))) % 34.24/34.46 (define @t480 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t9 @t467)) % 34.24/34.46 (define @t481 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t9 @t467)) % 34.24/34.46 (define @t482 () (@list @t255 @t9 @t81 @t7 @t467)) % 34.24/34.46 (define @t483 () (tptp.hAPP @t451 @t408)) % 34.24/34.46 (define @t484 () (@var "V_G_H" $$unsorted)) % 34.24/34.46 (define @t485 () (@var "V_fun2_H" $$unsorted)) % 34.24/34.46 (define @t486 () (@var "V_fun1_H" $$unsorted)) % 34.24/34.46 (define @t487 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t438 @t342 @t437 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t486 @t211 @t485 @t1)))) % 34.24/34.46 (define @t488 () (@list @t438 @t342 @t437 @t1 @t486 @t211 @t485)) % 34.24/34.46 (define @t489 () (= @t116 @t261)) % 34.24/34.46 (define @t490 () (= @t116 @t81)) % 34.24/34.46 (define @t491 () (not (= @t377 (tptp.hAPP @t374 (tptp.hAPP (tptp.hAPP @t159 @t261) @t47))))) % 34.24/34.46 (define @t492 () (= @t113 @t261)) % 34.24/34.46 (define @t493 () (= @t113 @t81)) % 34.24/34.46 (define @t494 () (tptp.hAPP @t159 @t37)) % 34.24/34.46 (define @t495 () (tptp.hAPP @t494 @t16)) % 34.24/34.46 (define @t496 () (tptp.hBOOL (tptp.hAPP @t495 @t3))) % 34.24/34.46 (define @t497 () (tptp.hAPP @t159 @t38)) % 34.24/34.46 (define @t498 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t457 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q_H tptp.t_a)) @t456) tptp.t_a)) % 34.24/34.46 (define @t499 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t457 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) @t456) tptp.t_a)) % 34.24/34.46 (define @t500 () (@var "V_s" $$unsorted)) % 34.24/34.46 (define @t501 () (@var "V_Z" $$unsorted)) % 34.24/34.46 (define @t502 () (@var "T_1" $$unsorted)) % 34.24/34.46 (define @t503 () (@var "T_2" $$unsorted)) % 34.24/34.46 (define @t504 () (tptp.tc_fun @t503 @t502)) % 34.24/34.46 (define @t505 () (@list @t503 @t502)) % 34.24/34.46 (define @t506 () (not (tptp.class_Lattices_Olattice @t502))) % 34.24/34.46 (define @t507 () (@var "V_X" $$unsorted)) % 34.24/34.46 (define @t508 () (not @t498)) % 34.24/34.46 (define @t509 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P tptp.v_Q_H)) % 34.24/34.46 (define @t510 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) % 34.24/34.46 (define @t511 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t510) @t509))) % 34.24/34.46 (define @t512 () (not @t511)) % 34.24/34.46 (define @t513 () (or @t499 @t512 @t508)) % 34.24/34.46 (define @t514 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t510) (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)))) % 34.24/34.46 (define @t515 () (or @t499 @t514)) % 34.24/34.46 (define @t516 () (not @t514)) % 34.24/34.46 (define @t517 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q_H @t510) @t509))) % 34.24/34.46 (define @t518 () (or @t499 @t517 @t516 @t508)) % 34.24/34.46 (define @t519 () (not @t517)) % 34.24/34.46 (define @t520 () (or @t511 @t519)) % 34.24/34.46 (assume @p1 (forall (@list @t2 @t3 @t1) (or @t5 (not @t4)))) % 34.24/34.46 (assume @p2 (forall (@list @t9 @t7 @t11 @t1 @t10 @t6) (= (tptp.hAPP (tptp.c_COMBB @t9 @t7 @t11 @t1 @t10) @t6) (tptp.hAPP @t9 @t8)))) % 34.24/34.46 (assume @p3 (forall @t13 (= (tptp.c_COMBC @t9 @t7 @t6 @t11 @t10 @t1) (tptp.hAPP @t12 @t7)))) % 34.24/34.46 (assume @p4 (forall (@list @t1 @t9) (= (tptp.hAPP @t14 @t9) @t9))) % 34.24/34.46 (assume @p5 (forall (@list @t9 @t1 @t11 @t7) (= (tptp.hAPP (tptp.c_COMBK @t9 @t1 @t11) @t7) @t9))) % 34.24/34.46 (assume @p6 (forall @t13 (= (tptp.c_COMBS @t9 @t7 @t6 @t11 @t10 @t1) (tptp.hAPP @t12 @t8)))) % 34.24/34.46 (assume @p7 (forall @t34 (or (not @t33) @t26 @t24 @t22))) % 34.24/34.46 (assume @p8 (forall @t34 (or @t33 @t35))) % 34.24/34.46 (assume @p9 (forall @t36 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t15 @t17) @t30))) % 34.24/34.46 (assume @p10 (forall (@list @t1 @t38 @t37 @t3) (or @t40 (not (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t37 @t1) @t39)) (= @t38 @t37)))) % 34.24/34.46 (assume @p11 (forall (@list @t1 @t3 @t42 @t41) (or @t40 (not (= @t39 @t43)) (= @t42 @t41)))) % 34.24/34.46 (assume @p12 (forall (@list @t1 @t45 @t44) (or @t50 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t45 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t44 @t1) @t1) @t49 @t48 @t46))) % 34.24/34.46 (assume @p13 (forall @t56 (or @t50 @t55 @t52))) % 34.24/34.46 (assume @p14 (forall @t56 (or @t50 @t51 (not @t55)))) % 34.24/34.46 (assume @p15 (forall (@list @t21 @t16 @t11 @t1 @t15) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t58 @t57 @t17) (tptp.c_Set_Oimage @t21 (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 @t27) @t11 @t1) @t17))) % 34.24/34.46 (assume @p16 (forall @t64 (= @t63 (tptp.hAPP @t61 @t60)))) % 34.24/34.46 (assume @p17 (forall @t64 (= (tptp.hAPP (tptp.hAPP @t18 @t20) @t59) @t63))) % 34.24/34.46 (assume @p18 (forall @t74 (or @t73 @t72))) % 34.24/34.46 (assume @p19 (forall @t74 (or @t73 @t76))) % 34.24/34.46 (assume @p20 (forall @t74 (or @t77 @t76))) % 34.24/34.46 (assume @p21 (forall @t74 (or @t77 @t72))) % 34.24/34.46 (assume @p22 (forall @t85 (or @t84 @t83))) % 34.24/34.46 (assume @p23 (forall @t87 (or @t86 @t83))) % 34.24/34.46 (assume @p24 (forall @t94 (or @t93 @t91 @t90 @t88 @t24))) % 34.24/34.46 (assume @p25 (forall @t94 (or @t93 @t91 @t90 @t24 @t88))) % 34.24/34.46 (assume @p26 (forall (@list @t21 @t3 @t38 @t16 @t1 @t11) (or (not (= @t92 (tptp.hAPP @t21 @t38))) @t95 @t90 @t24 (= @t3 @t38)))) % 34.24/34.46 (assume @p27 (forall @t94 (or @t93 @t24 @t88 @t91 @t90))) % 34.24/34.46 (assume @p28 (forall @t98 (or (= @t80 @t16) @t97))) % 34.24/34.46 (assume @p29 (forall @t98 (or (= @t80 @t15) @t99))) % 34.24/34.46 (assume @p30 (forall @t56 (or @t104 @t103 @t52))) % 34.24/34.46 (assume @p31 (forall @t56 (or @t104 (not @t103) @t51))) % 34.24/34.46 (assume @p32 (forall @t56 (or @t104 (= @t102 @t37) @t106))) % 34.24/34.46 (assume @p33 (forall @t64 (or @t111 @t110 @t108))) % 34.24/34.46 (assume @p34 (forall (@list @t15 @t1 @t16) (tptp.c_lessequals @t15 @t20 @t17))) % 34.24/34.46 (assume @p35 (forall @t112 (tptp.c_lessequals @t16 @t20 @t17))) % 34.24/34.46 (assume @p36 (forall @t122 (or @t73 @t121 @t118 @t115))) % 34.24/34.46 (assume @p37 (forall @t56 (or @t73 @t123))) % 34.24/34.46 (assume @p38 (forall @t125 (or @t73 @t124))) % 34.24/34.46 (assume @p39 (forall @t127 (or @t73 (tptp.c_lessequals @t68 @t3 @t1) (not @t126) @t106))) % 34.24/34.46 (assume @p40 (forall @t74 (or @t73 @t132 @t131 @t129))) % 34.24/34.46 (assume @p41 (forall @t125 (or @t77 @t124))) % 34.24/34.46 (assume @p42 (forall @t56 (or @t77 @t123))) % 34.24/34.46 (assume @p43 (forall @t98 (= @t80 @t134))) % 34.24/34.46 (assume @p44 (forall @t56 (or @t104 @t137))) % 34.24/34.46 (assume @p45 (forall @t56 (or @t77 @t137))) % 34.24/34.46 (assume @p46 (forall @t98 (or (= @t138 @t15) @t97))) % 34.24/34.46 (assume @p47 (forall @t56 (or @t50 (not (= @t54 @t53)) @t88))) % 34.24/34.46 (assume @p48 (forall @t143 (not (= tptp.c_Com_Ocom_OSKIP @t142)))) % 34.24/34.46 (assume @p49 (forall @t74 (or @t77 (tptp.c_lessequals @t146 @t144 @t1)))) % 34.24/34.46 (assume @p50 (forall @t36 (tptp.c_lessequals @t30 @t16 @t17))) % 34.24/34.46 (assume @p51 (forall @t64 (= (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t153 @t152)) @t151) (tptp.hAPP (tptp.hAPP @t78 (tptp.hAPP @t149 @t62)) @t148)))) % 34.24/34.46 (assume @p52 (forall (@list @t81 @t1 @t11) (= (tptp.c_Set_Oimage @t154 @t28 @t11 @t1) @t47))) % 34.24/34.46 (assume @p53 (forall (@list @t113 @t9 @t1) (or @t157 (not @t155)))) % 34.24/34.46 (assume @p54 (forall (@list @t3 @t2 @t1) (or @t4 (not @t5)))) % 34.24/34.46 (assume @p55 (forall (@list @t16 @t11 @t15 @t1) (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t158 @t17) @t16))) % 34.24/34.46 (assume @p56 (forall (@list @t21 @t1 @t113 @t16 @t11) (or @t166 @t164 @t24))) % 34.24/34.46 (assume @p57 (forall @t167 (or @t73 (= (tptp.hAPP @t69 @t3) @t3)))) % 34.24/34.46 (assume @p58 (forall @t168 (= (tptp.hAPP @t19 @t16) @t16))) % 34.24/34.46 (assume @p59 (forall (@list @t9 @t3 @t1 @t16) (or @t171 @t170))) % 34.24/34.46 (assume @p60 (forall @t127 (or @t172 (= (tptp.hAPP (tptp.hAPP @t100 @t68) @t3) (tptp.hAPP (tptp.hAPP @t66 @t136) (tptp.hAPP (tptp.hAPP @t100 @t65) @t3)))))) % 34.24/34.46 (assume @p61 (forall @t74 (or @t172 (= @t144 @t146)))) % 34.24/34.46 (assume @p62 (forall @t64 (= @t174 (tptp.hAPP @t153 @t173)))) % 34.24/34.46 (assume @p63 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t78 @t62) @t16) (tptp.hAPP (tptp.hAPP @t18 @t134) @t151)))) % 34.24/34.46 (assume @p64 (forall (@list @t176 @t21 @t16 @t1 @t10 @t11) (or (tptp.c_Fun_Oinj__on @t176 (tptp.c_Set_Oimage @t21 @t16 @t1 @t10) @t10 @t11) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t176 @t21 @t10 @t11 @t1) @t16 @t1 @t11))))) % 34.24/34.46 (assume @p65 (forall @t181 (or @t180 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t179) @t21) @t176) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11) @t178) @t177))))) % 34.24/34.46 (assume @p66 (forall @t98 (or @t182 (= @t30 @t16)))) % 34.24/34.46 (assume @p67 (forall (@list @t81 @t11 @t1 @t16 @t3) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t81 @t11 @t1) @t16 @t1 @t11) (tptp.hAPP (tptp.hAPP @t183 @t81) @t28)) @t90))) % 34.24/34.46 (assume @p68 (forall (@list @t21 @t3 @t15 @t1 @t16 @t11) (or (tptp.hBOOL (tptp.c_in @t92 @t15 @t1)) @t184 (not (tptp.c_lessequals @t58 @t15 @t17))))) % 34.24/34.46 (assume @p69 (forall (@list @t15 @t11 @t21 @t16 @t1) (or (tptp.c_Finite__Set_Ofinite @t15 @t11) (not (tptp.c_lessequals @t15 @t187 @t27)) @t186))) % 34.24/34.46 (assume @p70 (forall (@list @t21 @t1 @t16 @t15 @t11 @t59) (or (= (tptp.c_Set_Oimage @t21 @t80 @t1 @t11) (tptp.hAPP (tptp.hAPP @t32 @t187) @t189)) @t110 @t108 @t188))) % 34.24/34.46 (assume @p71 (forall @t196 (or @t195 @t90 @t193))) % 34.24/34.46 (assume @p72 (forall @t196 (or @t192 @t90 @t197))) % 34.24/34.46 (assume @p73 (forall @t198 (= (tptp.c_Finite__Set_Ofold1 @t21 @t16 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t21 @t16 @t1) @t1)))) % 34.24/34.46 (assume @p74 (forall (@list @t11 @t45 @t199 @t16 @t1) (or @t200 (tptp.c_lessequals (tptp.hAPP @t45 @t199) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t16 @t45 @t1 @t11) @t11) (not (tptp.hBOOL (tptp.c_in @t199 @t16 @t1)))))) % 34.24/34.46 (assume @p75 (forall (@list @t15 @t113 @t16 @t1 @t11) (or (tptp.c_lessequals @t204 @t203 @t27) @t202))) % 34.24/34.46 (assume @p76 (forall @t209 (or (= @t208 @t30) @t206))) % 34.24/34.46 (assume @p77 (forall (@list @t1 @t210) (= (tptp.c_Set_Oimage @t14 @t210 @t1 @t1) @t210))) % 34.24/34.46 (assume @p78 (forall @t213 (not (= @t212 tptp.c_Com_Ocom_OSKIP)))) % 34.24/34.46 (assume @p79 (forall (@list @t1 @t3 @t38 @t16) (or @t104 (tptp.c_lessequals @t3 @t38 @t1) @t95 (not (tptp.c_lessequals @t3 @t215 @t1)) @t214 @t186))) % 34.24/34.46 (assume @p80 (forall @t36 (or @t216 @t186))) % 34.24/34.46 (assume @p81 (forall (@list @t21 @t16 @t15 @t1 @t11) (or (tptp.c_Fun_Oinj__on @t21 @t30 @t1 @t11) @t24))) % 34.24/34.46 (assume @p82 (forall @t220 (or @t219 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t165 @t1) (tptp.hAPP @t218 @t217))))) % 34.24/34.46 (assume @p83 (forall (@list @t9 @t1) (= @t156 @t9))) % 34.24/34.46 (assume @p84 (forall @t221 (or @t73 (tptp.c_Finite__Set_Ofun__left__comm__idem @t66 @t1 @t1)))) % 34.24/34.46 (assume @p85 (forall @t228 (or @t227 @t223))) % 34.24/34.46 (assume @p86 (forall @t228 (or @t227 @t229))) % 34.24/34.46 (assume @p87 (forall (@list @t225 @t222 @t141 @t211) (not (= @t226 @t212)))) % 34.24/34.46 (assume @p88 (forall @t220 (or @t219 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t165 @t1) (tptp.hAPP @t119 @t230))))) % 34.24/34.46 (assume @p89 (forall (@list @t225 @t222 @t141 @t140 @t139) (not (= @t226 @t142)))) % 34.24/34.46 (assume @p90 (forall @t112 (or @t185 @t232 @t231))) % 34.24/34.46 (assume @p91 (forall @t36 (or @t216 @t186 @t231))) % 34.24/34.46 (assume @p92 (forall @t168 (tptp.c_Fun_Oinj__on @t14 @t16 @t1 @t1))) % 34.24/34.46 (assume @p93 (forall (@list @t15 @t3 @t11 @t16 @t1) (or (tptp.c_Finite__Set_Ofinite @t233 @t11) @t90 (not (tptp.c_Finite__Set_Ofinite @t203 @t11)) @t186))) % 34.24/34.46 (assume @p94 (forall (@list @t16 @t15 @t11 @t1 @t3) (or (not (= @t235 @t47)) @t234 @t184))) % 34.24/34.46 (assume @p95 (forall (@list @t236 @t225 @t222 @t141 @t211) (not (= @t237 @t212)))) % 34.24/34.46 (assume @p96 (forall @t87 (or @t86 @t239))) % 34.24/34.46 (assume @p97 (forall @t241 (or (not (= @t187 @t189)) @t35 @t240))) % 34.24/34.46 (assume @p98 (forall @t85 (or @t242 @t239))) % 34.24/34.46 (assume @p99 (forall (@list @t16 @t3 @t15 @t1 @t243 @t11) (or (tptp.c_lessequals @t244 @t15 @t17) (not (tptp.hBOOL (tptp.c_in @t3 @t243 @t11))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t243 @t16 @t11 @t17) @t15 @t17))))) % 34.24/34.46 (assume @p100 (forall (@list @t81 @t11 @t10 @t21) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t81 @t11 @t10) @t21 @t10 @t11 tptp.t_a) tptp.v_x) @t81))) % 34.24/34.46 (assume @p101 (forall (@list @t141 @t140 @t139 @t225 @t222) (not (= @t142 @t226)))) % 34.24/34.46 (assume @p102 (forall (@list @t11 @t16 @t245 @t243 @t1) (or (= (tptp.hAPP (tptp.hAPP @t247 (tptp.hAPP @t16 @t245)) @t246) @t246) (not (tptp.hBOOL (tptp.c_in @t245 @t243 @t1)))))) % 34.24/34.46 (assume @p103 (forall @t249 (or @t248 @t223))) % 34.24/34.46 (assume @p104 (forall @t249 (or @t248 @t229))) % 34.24/34.46 (assume @p105 (forall @t249 (or @t248 @t250))) % 34.24/34.46 (assume @p106 (forall @t251 (tptp.c_lessequals (tptp.c_Set_Oimage @t21 (tptp.hAPP (tptp.hAPP @t32 @t16) @t15) @t11 @t1) (tptp.hAPP (tptp.hAPP @t78 @t58) @t57) @t17))) % 34.24/34.46 (assume @p107 (forall @t259 (or @t258 @t257 @t254))) % 34.24/34.46 (assume @p108 (forall @t266 (or @t265 @t264 (not @t262) (not @t260)))) % 34.24/34.46 (assume @p109 (forall (@list @t1 @t116 @t261 @t113 @t81) (or @t265 @t262 @t269 @t267))) % 34.24/34.46 (assume @p110 (forall (@list @t1 @t81 @t113 @t116 @t261) (or @t265 @t260 @t269 @t267))) % 34.24/34.46 (assume @p111 (forall @t64 (or (not @t271) @t270))) % 34.24/34.46 (assume @p112 (forall @t64 (or @t271 @t272))) % 34.24/34.46 (assume @p113 (forall (@list @t21 @t176 @t11 @t1 @t10 @t3) (= @t275 @t274))) % 34.24/34.46 (assume @p114 (forall (@list @t113 @t116 @t276 @t10 @t11 @t1) (= @t278 (tptp.hAPP @t277 @t276)))) % 34.24/34.46 (assume @p115 (forall @t266 (or @t265 @t264 @t268))) % 34.24/34.46 (assume @p116 (forall (@list @t15 @t3 @t16 @t1) (or @t281 @t280 (not @t279)))) % 34.24/34.46 (assume @p117 (forall @t283 (or @t279 @t282))) % 34.24/34.46 (assume @p118 (forall @t283 (or @t279 @t284))) % 34.24/34.46 (assume @p119 (forall @t198 (or (= @t285 @t16) (not @t286) (not (tptp.c_lessequals @t285 @t16 @t17)) @t186))) % 34.24/34.46 (assume @p120 (forall @t85 (or @t84 @t86 (not @t287)))) % 34.24/34.46 (assume @p121 (forall @t74 (or @t77 @t290))) % 34.24/34.46 (assume @p122 (forall @t74 (or @t77 @t291))) % 34.24/34.46 (assume @p123 (forall @t74 (or @t104 @t291))) % 34.24/34.46 (assume @p124 (forall @t74 (or @t104 @t290))) % 34.24/34.46 (assume @p125 (forall @t64 (= (tptp.hAPP (tptp.hAPP @t78 @t80) @t59) @t292))) % 34.24/34.46 (assume @p126 (forall @t64 (= @t292 (tptp.hAPP @t133 @t173)))) % 34.24/34.46 (assume @p127 (forall (@list @t1 @t16 @t15 @t11 @t3) (or (not (= @t47 @t235)) @t234 @t184))) % 34.24/34.46 (assume @p128 (forall (@list @t252 @t1 @t255) (or @t253 @t293))) % 34.24/34.46 (assume @p129 (forall (@list @t255 @t1 @t252) (or @t256 @t293))) % 34.24/34.46 (assume @p130 (forall (@list @t1 @t11 @t16 @t15) (= (tptp.hAPP (tptp.hAPP @t18 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t28 @t16 @t11 @t17)) @t15) @t15))) % 34.24/34.46 (assume @p131 (forall (@list @t1 @t16 @t11 @t15) (= (tptp.hAPP @t19 @t158) @t16))) % 34.24/34.46 (assume @p132 (forall @t213 (not (= tptp.c_Com_Ocom_OSKIP @t212)))) % 34.24/34.46 (assume @p133 (forall (@list @t1 @t59 @t16 @t15) (= (tptp.hAPP @t150 @t30) (tptp.c_HOL_Ominus__class_Ominus @t151 (tptp.hAPP @t150 @t15) @t17)))) % 34.24/34.46 (assume @p134 (forall @t64 (= (tptp.hAPP @t295 @t59) @t294))) % 34.24/34.46 (assume @p135 (forall (@list @t16 @t15 @t1 @t59 @t296) (or (tptp.c_lessequals @t30 (tptp.c_HOL_Ominus__class_Ominus @t59 @t296 @t17) @t17) (not (tptp.c_lessequals @t296 @t15 @t17)) @t108))) % 34.24/34.46 (assume @p136 (forall @t297 (or @t206 @t90 @t182))) % 34.24/34.46 (assume @p137 (forall @t74 (or @t77 (tptp.c_lessequals @t299 @t298 @t1)))) % 34.24/34.46 (assume @p138 (forall (@list @t1 @t16 @t59 @t15) (= @t294 (tptp.c_HOL_Ominus__class_Ominus @t173 @t15 @t17)))) % 34.24/34.46 (assume @p139 (forall @t56 (or @t77 (= (tptp.hAPP @t69 @t102) @t3)))) % 34.24/34.46 (assume @p140 (forall @t36 (or @t240 @t99 @t97))) % 34.24/34.46 (assume @p141 (forall @t56 (or @t265 @t88 @t106 @t52))) % 34.24/34.46 (assume @p142 (forall @t56 (or @t265 @t88 @t52 @t106))) % 34.24/34.46 (assume @p143 (forall @t56 (or @t77 (= (tptp.hAPP @t101 @t71) @t3)))) % 34.24/34.46 (assume @p144 (forall @t98 (= (tptp.hAPP @t300 @t80) @t16))) % 34.24/34.46 (assume @p145 (forall @t56 (or @t73 (= @t71 @t3) @t106))) % 34.24/34.46 (assume @p146 (forall @t56 (or @t73 (not @t301) @t51))) % 34.24/34.46 (assume @p147 (forall @t56 (or @t73 @t301 @t52))) % 34.24/34.46 (assume @p148 (forall @t98 (or @t302 @t97))) % 34.24/34.46 (assume @p149 (forall @t98 (or (= @t20 @t16) @t99))) % 34.24/34.46 (assume @p150 (forall (@list @t9 @t113 @t1) (or @t155 (not @t157)))) % 34.24/34.46 (assume @p151 (forall (@list @t81 @t16 @t15 @t1) (or @t238 @t84 @t303))) % 34.24/34.46 (assume @p152 (forall @t297 (or @t205 @t305))) % 34.24/34.46 (assume @p153 (forall (@list @t11 @t16 @t45 @t1) (or @t200 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t16 (tptp.c_COMBK @t45 @t11 @t1) @t1 @t11) @t45) @t214))) % 34.24/34.46 (assume @p154 (forall (@list @t11 @t21 @t3 @t16 @t1) (or (= (tptp.hAPP (tptp.hAPP @t183 @t92) @t187) @t187) @t90))) % 34.24/34.46 (assume @p155 (forall @t196 (or @t192 @t97 @t89))) % 34.24/34.46 (assume @p156 (forall @t306 (or @t96 @t89 @t193))) % 34.24/34.46 (assume @p157 (forall @t306 (or @t96 @t193 @t89))) % 34.24/34.46 (assume @p158 (forall @t309 (or (= @t308 @t80) @t201))) % 34.24/34.46 (assume @p159 (forall @t312 (or (= @t311 @t152) @t310))) % 34.24/34.46 (assume @p160 (forall (@list @t116 @t16 @t15 @t11 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t116 @t235 @t1)) (not (tptp.hBOOL (tptp.c_in @t116 @t233 @t1))) @t184))) % 34.24/34.46 (assume @p161 (forall (@list @t116 @t16 @t15 @t1 @t11 @t113) (or (tptp.hBOOL (tptp.c_in @t116 @t203 @t11)) (not (tptp.hBOOL (tptp.c_in @t116 @t204 @t11))) @t202))) % 34.24/34.46 (assume @p162 (forall (@list @t1 @t15 @t16) (= (tptp.hAPP (tptp.hAPP @t18 @t29) @t16) @t313))) % 34.24/34.46 (assume @p163 (forall @t98 (= @t138 @t20))) % 34.24/34.46 (assume @p164 (forall (@list @t11 @t16 @t15) (or (not (tptp.class_HOL_Ominus @t11)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 @t179) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t16 tptp.v_x) (tptp.hAPP @t15 tptp.v_x) @t11))))) % 34.24/34.46 (assume @p165 (forall (@list @t59 @t15 @t1 @t16) (or @t316 @t315))) % 34.24/34.46 (assume @p166 (forall (@list @t59 @t16 @t1 @t15) (or @t270 @t315))) % 34.24/34.46 (assume @p167 (forall @t321 (or @t104 @t320 @t319))) % 34.24/34.46 (assume @p168 (forall (@list @t1 @t3 @t116 @t113) (or @t104 @t322 @t319))) % 34.24/34.46 (assume @p169 (forall @t122 (or @t104 @t323 @t115))) % 34.24/34.46 (assume @p170 (forall @t122 (or @t104 @t323 @t118))) % 34.24/34.46 (assume @p171 (forall @t74 (or @t104 @t51 @t325))) % 34.24/34.46 (assume @p172 (forall @t326 (or @t104 @t128 @t325))) % 34.24/34.46 (assume @p173 (forall @t64 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t59 @t17) (tptp.hAPP (tptp.hAPP @t18 @t328) @t327)))) % 34.24/34.46 (assume @p174 (forall (@list @t334 @t336 @t16 @t3 @t1 @t335 @t333 @t332 @t331 @t330 @t329) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t334 @t338) @t3)) @t90 @t337))) % 34.24/34.46 (assume @p175 (forall (@list @t334 @t3 @t335 @t16 @t1 @t336 @t333 @t332 @t331 @t330 @t329) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t334 @t3) @t339)) @t90 @t337))) % 34.24/34.46 (assume @p176 (forall @t98 (= @t20 @t313))) % 34.24/34.46 (assume @p177 (forall @t56 (or @t73 @t341))) % 34.24/34.46 (assume @p178 (forall @t56 (or @t77 @t341))) % 34.24/34.46 (assume @p179 (forall @t344 (or @t343 @t250))) % 34.24/34.46 (assume @p180 (forall @t344 (or @t343 @t345))) % 34.24/34.46 (assume @p181 (forall @t98 (= (tptp.hAPP @t19 @t20) @t20))) % 34.24/34.46 (assume @p182 (forall @t56 (or @t73 @t346))) % 34.24/34.46 (assume @p183 (forall @t56 (or @t77 @t346))) % 34.24/34.46 (assume @p184 (forall (@list @t176 @t21 @t11 @t10 @t1 @t16) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t176 @t21 @t11 @t10 @t1) @t16 @t1 @t10) (not (tptp.c_Fun_Oinj__on @t176 @t187 @t11 @t10)) @t24))) % 34.24/34.46 (assume @p185 (forall @t143 (not (= @t142 tptp.c_Com_Ocom_OSKIP)))) % 34.24/34.46 (assume @p186 (forall (@list @t16 @t15 @t1 @t11 @t116 @t3) (or @t347 (not (tptp.hBOOL (tptp.hAPP @t233 @t116))) @t90))) % 34.24/34.46 (assume @p187 (forall (@list @t16 @t15 @t1 @t11 @t116 @t113) (or @t347 (not (tptp.hBOOL (tptp.hAPP @t204 @t116))) @t202))) % 34.24/34.46 (assume @p188 (forall @t98 (= (tptp.hAPP @t79 @t29) @t47))) % 34.24/34.46 (assume @p189 (forall (@list @t141 @t211 @t236 @t225 @t222) (not (= @t212 @t237)))) % 34.24/34.46 (assume @p190 (forall @t168 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t185))) % 34.24/34.46 (assume @p191 (forall (@list @t3 @t16 @t1 @t9) (or @t89 @t170))) % 34.24/34.46 (assume @p192 (forall (@list @t21 @t113 @t16 @t1 @t11) (or (not @t164) @t348))) % 34.24/34.46 (assume @p193 (forall @t209 (or (= @t208 (tptp.hAPP @t190 @t30)) @t205))) % 34.24/34.46 (assume @p194 (forall (@list @t15 @t3 @t1 @t16) (or @t281 @t350))) % 34.24/34.46 (assume @p195 (forall (@list @t16 @t3 @t1 @t15) (or @t280 @t350))) % 34.24/34.46 (assume @p196 (forall @t198 (or @t286 (not (tptp.c_lessequals @t16 @t285 @t17)) @t186))) % 34.24/34.46 (assume @p197 (forall (@list @t21 @t15 @t1 @t11 @t16) (or @t25 @t35))) % 34.24/34.46 (assume @p198 (forall @t241 (or @t23 @t35))) % 34.24/34.46 (assume @p199 (forall (@list @t3 @t16 @t351 @t21 @t1) (or (not (tptp.hBOOL (tptp.c_in @t3 @t16 @t351))) (tptp.hBOOL (tptp.c_in @t92 (tptp.c_Set_Oimage @t21 @t16 @t351 @t1) @t1))))) % 34.24/34.46 (assume @p200 (forall @t353 (or @t184 @t352))) % 34.24/34.46 (assume @p201 (forall (@list @t21 @t3 @t16 @t11 @t1) (or @t352 @t184))) % 34.24/34.46 (assume @p202 (forall (@list @t21 @t3 @t16 @t1 @t11) (or (tptp.hBOOL (tptp.c_in @t92 @t187 @t11)) @t90))) % 34.24/34.46 (assume @p203 (forall (@list @t16 @t15 @t1 @t59) (or @t355 (not @t354)))) % 34.24/34.46 (assume @p204 (forall @t356 (or @t354 (not @t355)))) % 34.24/34.46 (assume @p205 (forall @t221 (or @t104 (tptp.c_Finite__Set_Ofun__left__comm__idem @t100 @t1 @t1)))) % 34.24/34.46 (assume @p206 (forall @t259 (or @t357 @t257))) % 34.24/34.46 (assume @p207 (forall @t259 (or @t357 @t254))) % 34.24/34.46 (assume @p208 (forall (@list @t11 @t21 @t3 @t176 @t1) (or (not (tptp.class_HOL_Oord @t11)) (tptp.c_lessequals @t92 @t273 @t11) (not (tptp.c_lessequals @t21 @t176 (tptp.tc_fun @t1 @t11)))))) % 34.24/34.46 (assume @p209 (forall @t167 (or @t359 (= (tptp.hAPP (tptp.hAPP @t66 @t358) @t3) @t3)))) % 34.24/34.46 (assume @p210 (forall @t167 (or @t359 (= (tptp.hAPP @t69 @t358) @t3)))) % 34.24/34.46 (assume @p211 (forall @t167 (or @t359 (= (tptp.hAPP (tptp.hAPP @t100 @t358) @t3) @t358)))) % 34.24/34.46 (assume @p212 (forall @t167 (or @t359 (= (tptp.hAPP @t101 @t358) @t358)))) % 34.24/34.46 (assume @p213 (forall @t167 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t358 @t3 @t1)))) % 34.24/34.46 (assume @p214 (forall @t98 (or @t359 @t360 (= @t16 @t358)))) % 34.24/34.46 (assume @p215 (forall @t98 (or @t359 @t360 (= @t15 @t358)))) % 34.24/34.46 (assume @p216 (forall @t221 (= (tptp.hAPP @t361 @t47) @t47))) % 34.24/34.46 (assume @p217 (forall (@list @t21 @t16 @t11 @t1) (or (not (= @t58 @t47)) @t362))) % 34.24/34.46 (assume @p218 (forall (@list @t336 @t1 @t329 @t335 @t334 @t333 @t332 @t331 @t330) (or (= (tptp.hAPP @t336 @t47) @t329) @t337))) % 34.24/34.46 (assume @p219 (forall (@list @t335 @t1 @t330 @t336 @t334 @t333 @t332 @t331 @t329) (or (= (tptp.hAPP @t335 @t47) @t330) @t337))) % 34.24/34.46 (assume @p220 (forall (@list @t1 @t9 @t3) (or (not (= @t47 @t156)) @t363))) % 34.24/34.46 (assume @p221 (forall @t365 @t364)) % 34.24/34.46 (assume @p222 (forall @t366 (or @t171 @t364))) % 34.24/34.46 (assume @p223 (forall (@list @t81 @t1) (not (tptp.hBOOL (tptp.c_in @t81 @t47 @t1))))) % 34.24/34.46 (assume @p224 (forall @t367 (not (tptp.hBOOL (tptp.c_in @t113 @t47 @t1))))) % 34.24/34.46 (assume @p225 (forall @t221 (tptp.c_lessequals @t47 @t47 @t17))) % 34.24/34.46 (assume @p226 (forall @t368 (or @t214 (not (tptp.c_lessequals @t16 @t47 @t17))))) % 34.24/34.46 (assume @p227 (forall (@list @t9 @t1 @t3) (or (not (= @t156 @t47)) @t363))) % 34.24/34.46 (assume @p228 (forall @t369 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t21 @t47 @t1) @t3))))) % 34.24/34.46 (assume @p229 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t16 @t17) @t47))) % 34.24/34.46 (assume @p230 (forall @t168 (= (tptp.hAPP @t19 @t47) @t16))) % 34.24/34.46 (assume @p231 (forall @t370 (= (tptp.hAPP @t361 @t15) @t15))) % 34.24/34.46 (assume @p232 (forall @t368 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 @t17) @t47))) % 34.24/34.46 (assume @p233 (forall @t368 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t47 @t17) @t16))) % 34.24/34.46 (assume @p234 (forall @t221 (tptp.c_Finite__Set_Ofinite @t47 @t1))) % 34.24/34.46 (assume @p235 (forall @t168 (= (tptp.hAPP @t79 @t47) @t47))) % 34.24/34.46 (assume @p236 (forall @t370 (= (tptp.hAPP (tptp.hAPP @t78 @t47) @t15) @t47))) % 34.24/34.46 (assume @p237 (forall @t168 (tptp.c_lessequals @t47 @t16 @t17))) % 34.24/34.46 (assume @p238 (forall (@list @t1 @t21 @t16 @t11) (or (not (= @t47 @t58)) @t362))) % 34.24/34.46 (assume @p239 (forall (@list @t21 @t11 @t1) (= @t371 @t47))) % 34.24/34.46 (assume @p240 (forall (@list @t21 @t1 @t11) (tptp.c_Fun_Oinj__on @t21 @t47 @t1 @t11))) % 34.24/34.46 (assume @p241 (forall @t366 (or @t363 @t364))) % 34.24/34.46 (assume @p242 (forall @t98 (or @t372 (= @t15 @t47)))) % 34.24/34.46 (assume @p243 (forall @t98 (or @t372 @t214))) % 34.24/34.46 (assume @p244 (forall (@list @t1 @t21 @t11) (= @t47 @t371))) % 34.24/34.46 (assume @p245 (forall @t220 (or (= @t373 @t16) @t202))) % 34.24/34.46 (assume @p246 (forall (@list @t81 @t1 @t11 @t16) (or (= (tptp.c_Set_Oimage @t154 @t16 @t11 @t1) (tptp.hAPP @t374 @t47)) @t362))) % 34.24/34.46 (assume @p247 (forall @t378 (or @t219 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t377 @t1) @t120)))) % 34.24/34.46 (assume @p248 (forall @t98 (or (not @t302) @t96))) % 34.24/34.46 (assume @p249 (forall (@list @t379 @t252 @t1 @t11) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t379 @t252 @t1 @t11) @t11) @t254))) % 34.24/34.46 (assume @p250 (= (tptp.hAPP @t380 tptp.v_x) (tptp.c_in tptp.v_x @t380 tptp.t_a))) % 34.24/34.46 (assume @p251 (forall (@list @t1 @t44 @t45) (or @t50 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t44 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t45 @t1) @t1) @t49 @t48 @t46))) % 34.24/34.46 (assume @p252 (forall (@list @t11 @t113 @t16 @t15 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP @t381 @t16) @t15 @t11 @t17) (tptp.hAPP (tptp.hAPP @t18 @t204) @t235)))) % 34.24/34.46 (assume @p253 (forall (@list @t1 @t16 @t113) (or @t104 (tptp.c_lessequals @t215 @t113 @t1) @t202 @t186))) % 34.24/34.46 (assume @p254 (forall @t382 (or @t219 (tptp.c_lessequals @t217 @t3 @t1) @t90))) % 34.24/34.46 (assume @p255 (forall @t378 (or @t265 @t383 @t268))) % 34.24/34.46 (assume @p256 (forall @t378 (or @t265 (not @t383) @t269))) % 34.24/34.46 (assume @p257 (forall @t312 (or (= @t311 (tptp.hAPP @t160 @t152)) (not @t310)))) % 34.24/34.46 (assume @p258 (forall @t309 (or (= @t308 @t384) @t202))) % 34.24/34.46 (assume @p259 (forall @t386 (or (tptp.c_lessequals @t20 (tptp.hAPP @t147 @t296) @t17) @t385 @t108))) % 34.24/34.46 (assume @p260 (forall @t56 (or @t77 @t387))) % 34.24/34.46 (assume @p261 (forall @t56 (or @t77 @t388))) % 34.24/34.46 (assume @p262 (forall @t74 (or @t104 @t324 @t129 @t52))) % 34.24/34.46 (assume @p263 (forall @t321 (or @t104 @t318 @t390 @t389))) % 34.24/34.46 (assume @p264 (forall @t56 (or @t104 @t388))) % 34.24/34.46 (assume @p265 (forall @t56 (or @t104 @t387))) % 34.24/34.46 (assume @p266 (forall @t98 (tptp.c_lessequals @t80 @t16 @t17))) % 34.24/34.46 (assume @p267 (forall @t98 (tptp.c_lessequals @t80 @t15 @t17))) % 34.24/34.46 (assume @p268 (forall (@list @t59 @t1 @t16 @t15) (or @t314 (not @t316) @t272))) % 34.24/34.46 (assume @p269 (forall (@list @t21 @t176 @t379 @t391 @t10 @t1 @t11) (= (tptp.c_Fun_Ocomp @t21 (tptp.c_Fun_Ocomp @t176 @t379 @t391 @t10 @t1) @t10 @t11 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t21 @t176 @t10 @t11 @t391) @t379 @t391 @t11 @t1)))) % 34.24/34.46 (assume @p270 (forall @t392 (not (= @t224 tptp.c_Com_Ocom_OSKIP)))) % 34.24/34.46 (assume @p271 (forall @t127 (or @t172 (= (tptp.hAPP (tptp.hAPP @t66 @t288) @t3) (tptp.hAPP (tptp.hAPP @t100 @t340) (tptp.hAPP (tptp.hAPP @t66 @t65) @t3)))))) % 34.24/34.46 (assume @p272 (forall @t74 (or @t172 (= @t299 @t298)))) % 34.24/34.46 (assume @p273 (forall @t64 (= (tptp.hAPP @t19 @t152) (tptp.hAPP @t149 @t60)))) % 34.24/34.46 (assume @p274 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t18 @t152) @t16) (tptp.hAPP (tptp.hAPP @t78 @t313) @t148)))) % 34.24/34.46 (assume @p275 (forall (@list @t21 @t176 @t10 @t11) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t21 @t176 @t10 @t11 tptp.t_a) tptp.v_x) (tptp.hAPP @t21 @t177)))) % 34.24/34.46 (assume @p276 (forall @t209 (or @t304 @t97 @t206))) % 34.24/34.46 (assume @p277 (forall (@list @t21 @t176 @t16 @t10 @t11 @t1) (= (tptp.c_Set_Oimage @t21 (tptp.c_Set_Oimage @t176 @t16 @t10 @t11) @t11 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t21 @t176 @t11 @t1 @t10) @t16 @t10 @t1)))) % 34.24/34.46 (assume @p278 (forall @t56 (or @t77 @t393))) % 34.24/34.46 (assume @p279 (forall @t56 (or @t104 @t393))) % 34.24/34.46 (assume @p280 (forall @t98 (= (tptp.hAPP @t79 @t80) @t80))) % 34.24/34.46 (assume @p281 (forall (@list @t21 @t3 @t65 @t1 @t11) (or (= (tptp.hAPP @t92 @t395) @t395) @t394))) % 34.24/34.46 (assume @p282 (forall (@list @t16 @t15 @t1 @t113) (or @t216 (not @t397)))) % 34.24/34.46 (assume @p283 (forall @t398 (or @t397 @t232))) % 34.24/34.46 (assume @p284 (forall (@list @t21 @t176 @t10 @t1 @t11 @t399) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t21 @t176 @t10 @t1 @t11) @t399 @t11 @t1) (tptp.c_Set_Oimage @t21 (tptp.c_Set_Oimage @t176 @t399 @t11 @t10) @t10 @t1)))) % 34.24/34.46 (assume @p285 (forall (@list @t141 @t211 @t225 @t222) (not (= @t212 @t226)))) % 34.24/34.46 (assume @p286 (forall @t400 (or @t287 @t242))) % 34.24/34.46 (assume @p287 (forall @t400 (or @t287 @t303))) % 34.24/34.46 (assume @p288 (forall @t167 (or @t104 (= (tptp.hAPP @t101 @t3) @t3)))) % 34.24/34.46 (assume @p289 (forall @t168 (= (tptp.hAPP @t79 @t16) @t16))) % 34.24/34.46 (assume @p290 (forall @t127 (or @t73 @t130 @t401))) % 34.24/34.46 (assume @p291 (forall @t326 (or @t73 @t128 @t401))) % 34.24/34.46 (assume @p292 (forall @t321 (or @t73 @t402 @t390))) % 34.24/34.46 (assume @p293 (forall @t321 (or @t73 @t402 @t389))) % 34.24/34.46 (assume @p294 (forall (@list @t1 @t116 @t3 @t113) (or @t73 @t117 @t403))) % 34.24/34.46 (assume @p295 (forall (@list @t1 @t113 @t3 @t116) (or @t73 @t114 @t403))) % 34.24/34.46 (assume @p296 (forall @t405 (or @t107 @t404))) % 34.24/34.46 (assume @p297 (forall (@list @t15 @t59 @t1 @t16) (or @t109 @t404))) % 34.24/34.46 (assume @p298 (forall @t168 (or @t50 (tptp.hBOOL (tptp.c_in @t406 @t16 @t1)) @t214 @t186))) % 34.24/34.46 (assume @p299 (forall @t181 (or @t180 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t179) @t21) @t176) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11) @t178) @t177))))) % 34.24/34.46 (assume @p300 (forall (@list @t1 @t65 @t3 @t37) (or @t265 @t126 (not (tptp.c_lessequals @t65 @t37 @t1)) @t106))) % 34.24/34.46 (assume @p301 (forall @t326 (or @t407 @t128 @t131 @t52))) % 34.24/34.46 (assume @p302 (forall @t297 (or @t205 @t90 @t97))) % 34.24/34.46 (assume @p303 (forall @t85 (or @t84 @t303 @t97))) % 34.24/34.46 (assume @p304 (forall @t365 (tptp.c_lessequals @t3 @t3 @t17))) % 34.24/34.46 (assume @p305 (forall @t297 (or @t205 @t97 @t90))) % 34.24/34.46 (assume @p306 (forall (@list @t408 @t15 @t1 @t16) (or (tptp.hBOOL (tptp.c_in @t408 @t15 @t1)) (not (tptp.hBOOL (tptp.c_in @t408 @t16 @t1))) @t97))) % 34.24/34.46 (assume @p307 (forall @t368 (tptp.c_lessequals @t16 @t16 @t17))) % 34.24/34.46 (assume @p308 (forall @t405 (or @t107 @t110 @t97))) % 34.24/34.46 (assume @p309 (forall @t241 (or @t23 @t97 @t26))) % 34.24/34.46 (assume @p310 (forall @t411 (or @t410 @t363 @t409))) % 34.24/34.46 (assume @p311 (forall @t167 (or @t265 @t412))) % 34.24/34.46 (assume @p312 (forall @t167 (or @t407 @t412))) % 34.24/34.46 (assume @p313 (forall @t112 (or @t185 @t231 @t97))) % 34.24/34.46 (assume @p314 (forall @t411 (or @t410 @t409 @t363))) % 34.24/34.46 (assume @p315 (forall @t112 (or @t185 @t97 @t231))) % 34.24/34.46 (assume @p316 (forall @t386 (or (tptp.c_lessequals @t80 (tptp.hAPP @t150 @t296) @t17) @t385 @t108))) % 34.24/34.46 (assume @p317 (forall @t356 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t62 @t17) (tptp.hAPP @t295 @t328)))) % 34.24/34.46 (assume @p318 (forall @t378 (or @t265 @t413 @t268))) % 34.24/34.46 (assume @p319 (forall @t378 (or @t265 (not @t413) @t269))) % 34.24/34.46 (assume @p320 (forall @t64 (= (tptp.c_HOL_Ominus__class_Ominus @t80 @t59 @t17) (tptp.hAPP @t79 @t327)))) % 34.24/34.46 (assume @p321 (forall (@list @t21 @t16 @t15 @t1 @t11 @t59) (or (= @t31 (tptp.c_HOL_Ominus__class_Ominus @t187 @t189 @t27)) @t110 @t108 @t188))) % 34.24/34.46 (assume @p322 (forall @t168 (or @t50 (tptp.hBOOL (tptp.c_in @t414 @t16 @t1)) @t214 @t186))) % 34.24/34.46 (assume @p323 (forall (@list @t3 @t1 @t16 @t9) (or @t169 @t363 @t90))) % 34.24/34.46 (assume @p324 (forall (@list @t113 @t116 @t10 @t11 @t1 @t81 @t261 @t391 @t276) (or (not (= @t277 (tptp.c_Fun_Ocomp @t81 @t261 @t391 @t11 @t1))) (= @t278 (tptp.hAPP @t81 (tptp.hAPP @t261 @t276)))))) % 34.24/34.46 (assume @p325 (forall (@list @t21 @t176 @t3 @t417 @t416 @t42 @t11 @t1 @t10 @t391 @t415) (or (not (= @t274 (tptp.hAPP @t417 (tptp.hAPP @t416 @t42)))) (= @t275 (tptp.hAPP (tptp.c_Fun_Ocomp @t417 @t416 @t391 @t1 @t415) @t42))))) % 34.24/34.46 (assume @p326 (forall @t356 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t152 @t17) (tptp.hAPP @t300 @t328)))) % 34.24/34.46 (assume @p327 (forall (@list @t11 @t16 @t15 @t45 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t418 @t45 @t11 @t17) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t16 @t45 @t11 @t17)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t45 @t11 @t17))))) % 34.24/34.46 (assume @p328 (forall @t365 (= (tptp.c_The @t419 @t1) @t3))) % 34.24/34.46 (assume @p329 (forall @t382 (or @t50 (tptp.c_lessequals @t414 @t3 @t1) @t90 @t186))) % 34.24/34.46 (assume @p330 (forall @t400 (or @t82 @t242 @t303))) % 34.24/34.46 (assume @p331 (forall @t283 (or @t349 @t282 @t284))) % 34.24/34.46 (assume @p332 (forall (@list @t21 @t3 @t11 @t1) (or (= (tptp.c_Fun_Ocomp @t92 @t92 @t11 @t11 @t11) @t92) @t394))) % 34.24/34.46 (assume @p333 (forall (@list @t15 @t59 @t16 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t15 (tptp.c_HOL_Ominus__class_Ominus @t59 @t16 @t17) @t17) @t16) @t110 @t97))) % 34.24/34.46 (assume @p334 (forall @t423 (or @t422 @t421 @t420 @t106))) % 34.24/34.46 (assume @p335 (forall @t423 (or @t422 @t421 @t105 (not @t420)))) % 34.24/34.46 (assume @p336 (forall @t241 (or (tptp.c_lessequals @t187 @t189 @t27) @t97))) % 34.24/34.46 (assume @p337 (forall @t353 (or (not (tptp.c_lessequals @t3 @t16 @t27)) (tptp.c_lessequals (tptp.c_Set_Oimage @t21 @t3 @t11 @t1) @t58 @t17)))) % 34.24/34.46 (assume @p338 (forall (@list @t1 @t425 @t424) (or @t265 (= (tptp.hAPP (tptp.hAPP @t78 (tptp.c_SetInterval_Oord__class_OlessThan @t425 @t1)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t425 @t424 @t1)) @t47)))) % 34.24/34.46 (assume @p339 (forall (@list @t16 @t11 @t21 @t1) (or (tptp.c_Finite__Set_Ofinite @t16 @t11) (not (tptp.c_Fun_Oinj__on @t21 @t16 @t11 @t1)) (not (tptp.c_Finite__Set_Ofinite @t58 @t1))))) % 34.24/34.46 (assume @p340 (forall @t426 (or @t50 (tptp.c_lessequals @t3 @t406 @t1) @t90 @t186))) % 34.24/34.46 (assume @p341 (forall @t251 (= (tptp.c_Set_Oimage @t21 @t418 @t11 @t1) (tptp.hAPP (tptp.hAPP @t18 @t58) @t57)))) % 34.24/34.46 (assume @p342 (forall @t426 (or @t219 (tptp.c_lessequals @t3 @t230 @t1) @t90))) % 34.24/34.46 (assume @p343 (forall @t392 (not (= tptp.c_Com_Ocom_OSKIP @t224)))) % 34.24/34.46 (assume @p344 (forall @t125 (or @t50 @t105 @t51))) % 34.24/34.46 (assume @p345 (forall (@list @t1 @t245) (or @t265 (= (tptp.c_HOL_Ominus__class_Ominus @t427 (tptp.c_SetInterval_Oord__class_OlessThan @t245 @t1) @t17) @t427)))) % 34.24/34.46 (assume @p346 (forall @t196 (or @t192 @t97 @t197))) % 34.24/34.46 (assume @p347 (forall @t426 (or (= (tptp.c_HOL_Ominus__class_Ominus @t207 @t194 @t17) @t16) @t89))) % 34.24/34.46 (assume @p348 (forall @t378 (or @t219 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t377 @t1) @t317)))) % 34.24/34.46 (assume @p349 (forall (@list @t1 @t113 @t59 @t296) (or (tptp.c_lessequals (tptp.hAPP @t160 @t59) (tptp.hAPP @t160 @t296) @t17) (not (tptp.c_lessequals @t59 @t296 @t17))))) % 34.24/34.46 (assume @p350 (forall (@list @t113 @t1 @t116 @t16) (or @t428 @t202))) % 34.24/34.46 (assume @p351 (forall (@list @t113 @t1 @t116 @t15) (or (tptp.hBOOL (tptp.c_in @t113 @t429 @t1)) (not (tptp.hBOOL (tptp.c_in @t113 @t15 @t1)))))) % 34.24/34.46 (assume @p352 (forall (@list @t21 @t11 @t113 @t15 @t1) (= (tptp.c_Set_Oimage @t21 (tptp.hAPP @t381 @t15) @t11 @t1) (tptp.hAPP (tptp.hAPP @t159 @t163) @t57)))) % 34.24/34.46 (assume @p353 (forall (@list @t336 @t1 @t113 @t16 @t332 @t335 @t334 @t333 @t331 @t330 @t329) (or (= (tptp.hAPP @t336 @t165) (tptp.hAPP @t430 @t338)) @t337))) % 34.24/34.46 (assume @p354 (forall (@list @t335 @t1 @t113 @t16 @t331 @t336 @t334 @t333 @t332 @t330 @t329) (or (= (tptp.hAPP @t335 @t165) (tptp.hAPP @t431 @t339)) @t337))) % 34.24/34.46 (assume @p355 (forall (@list @t113 @t16 @t1 @t116) (or @t201 @t432 (not @t428)))) % 34.24/34.46 (assume @p356 (forall @t220 (or @t433 @t186))) % 34.24/34.46 (assume @p357 (forall (@list @t16 @t1 @t113) (or @t185 (not @t433)))) % 34.24/34.46 (assume @p358 (forall (@list @t15 @t1 @t113) (tptp.c_lessequals @t15 @t307 @t17))) % 34.24/34.46 (assume @p359 (forall (@list @t1 @t113 @t16 @t15) (= (tptp.hAPP (tptp.hAPP @t78 @t165) @t307) @t384))) % 34.24/34.46 (assume @p360 (forall @t309 (= (tptp.hAPP @t19 @t307) (tptp.hAPP @t160 @t20)))) % 34.24/34.46 (assume @p361 (forall @t312 (= (tptp.hAPP (tptp.hAPP @t18 @t307) @t59) (tptp.hAPP @t160 @t62)))) % 34.24/34.46 (assume @p362 (forall (@list @t16 @t1 @t116 @t15) (or (tptp.c_lessequals @t16 @t429 @t17) @t97))) % 34.24/34.46 (assume @p363 (forall @t306 (or @t96 @t305))) % 34.24/34.46 (assume @p364 (forall (@list @t21 @t16 @t1 @t11 @t113) (or @t23 @t348))) % 34.24/34.46 (assume @p365 (forall (@list @t3 @t1 @t16) (tptp.hBOOL (tptp.c_in @t3 @t207 @t1)))) % 34.24/34.46 (assume @p366 (forall (@list @t113 @t1 @t15) (tptp.hBOOL (tptp.c_in @t113 @t307 @t1)))) % 34.24/34.46 (assume @p367 (forall (@list @t3 @t1 @t15) (tptp.hBOOL (tptp.c_in @t3 @t191 @t1)))) % 34.24/34.46 (assume @p368 (forall @t221 (tptp.c_Finite__Set_Ofun__left__comm__idem @t159 @t1 @t17))) % 34.24/34.46 (assume @p369 (forall @t209 (or (not (= @t207 @t191)) @t205 @t89 @t240))) % 34.24/34.46 (assume @p370 (forall @t220 (or (= @t165 @t16) @t202))) % 34.24/34.46 (assume @p371 (forall (@list @t9 @t436 @t38 @t435 @t434) (or (not (tptp.hBOOL (tptp.hAPP @t9 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t436 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t38 @t435 @t434 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t9 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t436 @t38) @t435) @t434)))))) % 34.24/34.46 (assume @p372 (forall (@list @t9 @t436 @t438 @t342 @t437) (or (not (tptp.hBOOL (tptp.hAPP @t9 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t436 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t438 @t342 @t437 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t9 @t439))))) % 34.24/34.46 (assume @p373 (forall @t441 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t436 @t440 @t11 @t1) @t439))) % 34.24/34.46 (assume @p374 (forall @t441 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t436 @t440 @t11 @t1) @t439))) % 34.24/34.46 (assume @p375 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 34.24/34.46 (assume @p376 (forall (@list @t255 @t445 @t1 @t442) (or @t446 (not (tptp.c_lessequals @t445 @t442 @t444)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 @t442 @t1))))) % 34.24/34.46 (assume @p377 (forall (@list @t255 @t445 @t1) (or @t446 (not (tptp.c_lessequals @t445 @t255 @t444))))) % 34.24/34.46 (assume @p378 (= (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP tptp.v_P @t447))) % 34.24/34.46 (assume @p379 (= (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t448 @t447))) % 34.24/34.46 (assume @p380 (= (tptp.c_COMBC tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t448 tptp.v_Q))) % 34.24/34.46 (assume @p381 (forall (@list @t255 @t1 @t9 @t116 @t81) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t9 (tptp.c_Com_Ocom_OWhile @t116 @t81) @t452 @t1)) @t449) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t450 @t81 @t9 @t1)) @t449) @t1))))) % 34.24/34.46 (assume @p382 (forall (@list @t255 @t1 @t9 @t116 @t81 @t261 @t7) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t9 (tptp.c_Com_Ocom_OCond @t116 @t81 @t261) @t7 @t1)) @t449) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t452 @t261 @t7 @t1)) @t449) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t450 @t81 @t7 @t1)) @t449) @t1))))) % 34.24/34.46 (assume @p383 (forall (@list @t11) (or (not (tptp.class_Orderings_Obot @t11)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t179) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t11))))) % 34.24/34.46 (assume @p384 (forall @t221 (or @t219 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t47 @t1) @t358)))) % 34.24/34.46 (assume @p385 (forall @t367 (= (tptp.c_Collect (tptp.c_fequal @t113 @t1) @t1) @t161))) % 34.24/34.46 (assume @p386 (forall (@list @t16 @t1 @t3) (or (= @t16 @t194) @t214 (not (tptp.c_lessequals @t16 @t194 @t17))))) % 34.24/34.46 (assume @p387 (forall @t365 (tptp.hBOOL (tptp.c_in @t3 @t194 @t1)))) % 34.24/34.46 (assume @p388 (forall (@list @t336 @t1 @t113 @t335 @t334 @t333 @t332 @t331 @t330 @t329) (or (= (tptp.hAPP @t336 @t161) @t113) @t337))) % 34.24/34.46 (assume @p389 (forall (@list @t335 @t1 @t113 @t336 @t334 @t333 @t332 @t331 @t330 @t329) (or (= (tptp.hAPP @t335 @t161) @t113) @t337))) % 34.24/34.46 (assume @p390 (forall @t453 (or @t219 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t161 @t1) @t113)))) % 34.24/34.46 (assume @p391 (forall @t167 (tptp.hBOOL (tptp.hAPP @t194 @t454)))) % 34.24/34.46 (assume @p392 (forall (@list @t1 @t113 @t11 @t15) (= (tptp.hAPP @t160 @t158) @t161))) % 34.24/34.46 (assume @p393 (forall @t369 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t21 @t194 @t1) @t3)))) % 34.24/34.46 (assume @p394 (forall @t453 (or @t50 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t161 @t1) @t113)))) % 34.24/34.46 (assume @p395 (forall @t167 (= (tptp.c_The @t194 @t1) @t3))) % 34.24/34.46 (assume @p396 (forall (@list @t336 @t1 @t113 @t116 @t332 @t335 @t334 @t333 @t331 @t330 @t329) (or (= (tptp.hAPP @t336 @t377) (tptp.hAPP @t430 @t116)) @t337))) % 34.24/34.46 (assume @p397 (forall (@list @t335 @t1 @t113 @t116 @t331 @t336 @t334 @t333 @t332 @t330 @t329) (or (= (tptp.hAPP @t335 @t377) (tptp.hAPP @t431 @t116)) @t337))) % 34.24/34.46 (assume @p398 (forall @t398 (= @t396 (tptp.c_HOL_Ominus__class_Ominus @t162 @t15 @t17)))) % 34.24/34.46 (assume @p399 (forall @t398 (= @t396 (tptp.c_HOL_Ominus__class_Ominus @t30 @t161 @t17)))) % 34.24/34.46 (assume @p400 (forall (@list @t113 @t116 @t21 @t1) (or @t432 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t21 @t161 @t1) @t116)))))) % 34.24/34.46 (assume @p401 (forall @t167 (= (tptp.c_Set_Ocontents @t194 @t1) @t3))) % 34.24/34.46 (assume @p402 (forall (@list @t37 @t1 @t3) (or (= @t37 @t454) (not (tptp.hBOOL (tptp.hAPP @t194 @t37)))))) % 34.24/34.46 (assume @p403 (forall (@list @t116 @t113 @t1) (or (= @t116 @t113) (not (tptp.hBOOL (tptp.c_in @t116 @t161 @t1)))))) % 34.24/34.46 (assume @p404 (forall (@list @t21 @t1 @t113) (= (tptp.c_Finite__Set_Ofold1 @t21 @t161 @t1) @t113))) % 34.24/34.46 (assume @p405 (forall @t453 (or @t50 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t161 @t1) @t113)))) % 34.24/34.46 (assume @p406 (forall @t220 (= @t373 @t165))) % 34.24/34.46 (assume @p407 (forall @t453 (or @t265 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t113 @t113 @t1) @t161)))) % 34.24/34.46 (assume @p408 (forall (@list @t1 @t3 @t38) (or (not (= (tptp.hAPP @t190 @t38) @t47)) (tptp.hBOOL (tptp.c_in @t3 @t38 @t1))))) % 34.24/34.46 (assume @p409 (forall @t220 (= @t165 (tptp.hAPP (tptp.hAPP @t18 @t161) @t16)))) % 34.24/34.46 (assume @p410 (forall @t453 (or @t219 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t161 @t1) @t113)))) % 34.24/34.46 (assume @p411 (forall @t465 (or @t464 (tptp.hBOOL (tptp.hAPP @t463 @t462)) (not (tptp.hBOOL (tptp.hAPP @t461 @t459))) @t458))) % 34.24/34.46 (assume @p412 (forall (@list @t255 @t9 @t81 @t7 @t466 @t460 @t467) (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t466 @t460) @t470)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t467 @t460) @t469))) @t468))) % 34.24/34.46 (assume @p413 (forall @t465 (or @t464 (tptp.hBOOL (tptp.hAPP @t463 @t472)) (not (tptp.hBOOL (tptp.hAPP @t461 @t471))) @t458))) % 34.24/34.46 (assume @p414 (forall @t474 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t9 @t473) @t471))))) % 34.24/34.46 (assume @p415 (forall @t475 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t7 @t473) @t472))) @t458))) % 34.24/34.46 (assume @p416 (forall @t474 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t9 @t476) @t459))))) % 34.24/34.46 (assume @p417 (forall @t478 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t9 @t477) @t469)) @t468))) % 34.24/34.46 (assume @p418 (forall @t482 (or @t464 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t9 @t481) @t480)) @t479))) % 34.24/34.46 (assume @p419 (forall @t475 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t7 @t476) @t462))) @t458))) % 34.24/34.46 (assume @p420 (forall @t482 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t467 @t481) @t480))) @t479))) % 34.24/34.46 (assume @p421 (forall @t478 (or @t464 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t7 @t477) @t470))) @t468))) % 34.24/34.46 (assume @p422 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 34.24/34.46 (assume @p423 (forall (@list @t255 @t1 @t9) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t9 tptp.c_Com_Ocom_OSKIP @t9 @t1)) @t449) @t1))) % 34.24/34.46 (assume @p424 (forall (@list @t255 @t1 @t9 @t81 @t261 @t6 @t7) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t9 (tptp.c_Com_Ocom_OSemi @t81 @t261) @t6 @t1)) @t449) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t7 @t261 @t6 @t1)) @t449) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP (tptp.hAPP @t451 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t9 @t81 @t7 @t1)) @t449) @t1))))) % 34.24/34.46 (assume @p425 (forall (@list @t255 @t1 @t408 @t445) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP @t483 @t445) @t1) (not @t446) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 (tptp.hAPP @t483 @t449) @t1))))) % 34.24/34.46 (assume @p426 (forall @t426 (tptp.hBOOL (tptp.hAPP @t207 @t3)))) % 34.24/34.46 (assume @p427 (forall (@list @t255 @t445 @t1 @t484) (or @t446 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 @t484 @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t484 @t445 @t1))))) % 34.24/34.46 (assume @p428 (forall @t220 (not (= @t47 @t165)))) % 34.24/34.46 (assume @p429 (forall @t488 (or @t487 (= @t437 @t485)))) % 34.24/34.46 (assume @p430 (forall @t488 (or @t487 @t345))) % 34.24/34.46 (assume @p431 (forall @t488 (or @t487 (= @t438 @t486)))) % 34.24/34.46 (assume @p432 (forall @t266 (or @t491 @t490 @t489))) % 34.24/34.46 (assume @p433 (forall @t266 (or @t491 @t492 @t489))) % 34.24/34.46 (assume @p434 (forall @t266 (or @t491 @t490 @t493))) % 34.24/34.46 (assume @p435 (forall @t266 (or @t491 @t492 @t493))) % 34.24/34.46 (assume @p436 (forall @t167 (not (tptp.hBOOL (tptp.hAPP @t47 @t3))))) % 34.24/34.46 (assume @p437 (forall (@list @t255 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t255 @t449 @t1))) % 34.24/34.46 (assume @p438 (forall (@list @t16 @t3 @t37 @t1) (or @t280 (= @t37 @t3) (not @t496)))) % 34.24/34.46 (assume @p439 (forall @t426 (= (tptp.hAPP @t190 @t207) @t207))) % 34.24/34.46 (assume @p440 (forall @t220 (not (= @t165 @t47)))) % 34.24/34.46 (assume @p441 (forall (@list @t1 @t3 @t37 @t16) (= (tptp.hAPP @t190 @t495) (tptp.hAPP @t494 @t207)))) % 34.24/34.46 (assume @p442 (forall (@list @t1 @t38 @t3) (= (tptp.hAPP @t497 @t194) (tptp.hAPP @t190 (tptp.hAPP @t497 @t47))))) % 34.24/34.46 (assume @p443 (forall @t378 (or (not (= @t161 @t376)) @t432))) % 34.24/34.46 (assume @p444 (forall (@list @t1 @t37 @t16 @t3) (or @t496 @t284))) % 34.24/34.46 (assume @p445 @t498) % 34.24/34.46 (assume @p446 (not @t499)) % 34.24/34.46 (assume @p447 (forall (@list @t501 @t500) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t501) @t500)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q_H @t501) @t500)))))) % 34.24/34.46 (assume @p448 (forall @t505 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t504) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t502))))) % 34.24/34.46 (assume @p449 (forall @t505 (or (tptp.class_Lattices_Oupper__semilattice @t504) @t506))) % 34.24/34.46 (assume @p450 (forall @t505 (or (tptp.class_Lattices_Olower__semilattice @t504) @t506))) % 34.24/34.46 (assume @p451 (forall @t505 (or (tptp.class_Lattices_Odistrib__lattice @t504) (not (tptp.class_Lattices_Odistrib__lattice @t502))))) % 34.24/34.46 (assume @p452 (forall @t505 (or (tptp.class_Lattices_Obounded__lattice @t504) (not (tptp.class_Lattices_Obounded__lattice @t502))))) % 34.24/34.46 (assume @p453 (forall @t505 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t504) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t502)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t503))))) % 34.24/34.46 (assume @p454 (forall @t505 (or (tptp.class_Orderings_Opreorder @t504) (not (tptp.class_Orderings_Opreorder @t502))))) % 34.24/34.46 (assume @p455 (forall @t505 (or (tptp.class_Lattices_Olattice @t504) @t506))) % 34.24/34.46 (assume @p456 (forall @t505 (or (tptp.class_Orderings_Oorder @t504) (not (tptp.class_Orderings_Oorder @t502))))) % 34.24/34.46 (assume @p457 (forall @t505 (or (tptp.class_Orderings_Obot @t504) (not (tptp.class_Orderings_Obot @t502))))) % 34.24/34.46 (assume @p458 (forall @t505 (or (tptp.class_HOL_Ominus @t504) (not (tptp.class_HOL_Ominus @t502))))) % 34.24/34.46 (assume @p459 (forall @t505 (or (tptp.class_HOL_Oord @t504) (not (tptp.class_HOL_Oord @t502))))) % 34.24/34.46 (assume @p460 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 34.24/34.46 (assume @p461 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 34.24/34.46 (assume @p462 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 34.24/34.46 (assume @p463 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 34.24/34.46 (assume @p464 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 34.24/34.46 (assume @p465 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 34.24/34.46 (assume @p466 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 34.24/34.46 (assume @p467 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 34.24/34.46 (assume @p468 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 34.24/34.46 (assume @p469 (tptp.class_Orderings_Obot tptp.tc_bool)) % 34.24/34.46 (assume @p470 (tptp.class_HOL_Ominus tptp.tc_bool)) % 34.24/34.46 (assume @p471 (tptp.class_HOL_Oord tptp.tc_bool)) % 34.24/34.46 (assume @p472 (forall @t365 (tptp.hBOOL (tptp.hAPP @t419 @t3)))) % 34.24/34.46 (assume @p473 (forall (@list @t507 @t210 @t1) (or (= @t507 @t210) (not (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t507 @t1) @t210)))))) % 34.24/34.46 (step @p474 :rule instantiate :premises (@p415) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q tptp.v_P tptp.v_Q_H))) % 34.24/34.46 (step @p475 :rule cnf_or_pos :args (@t513)) % 34.24/34.46 (step @p476 :rule reordering :premises (@p475) :args ((or @t499 @t508 @t512 (not @t513)))) % 34.24/34.46 (step @p477 :rule chain_m_resolution :premises (@p476 @p446 @p445 @p474) :args (@t512 (@list true false false) (@list @t499 @t498 @t513))) % 34.24/34.46 (step @p478 :rule instantiate :premises (@p447) :args ((@list @t510 @t509))) % 34.24/34.46 (step @p479 :rule instantiate :premises (@p413) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q tptp.v_Q_H @t510 tptp.v_P))) % 34.24/34.46 (step @p480 :rule instantiate :premises (@p414) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q))) % 34.24/34.46 (step @p481 :rule cnf_or_pos :args (@t515)) % 34.24/34.46 (step @p482 :rule reordering :premises (@p481) :args ((or @t499 @t514 (not @t515)))) % 34.24/34.46 (step @p483 :rule chain_m_resolution :premises (@p482 @p446 @p480) :args (@t514 (@list true false) (@list @t499 @t515))) % 34.24/34.46 (step @p484 :rule cnf_or_pos :args (@t518)) % 34.24/34.46 (step @p485 :rule reordering :premises (@p484) :args ((or @t499 @t508 @t516 @t517 (not @t518)))) % 34.24/34.46 (step @p486 :rule chain_m_resolution :premises (@p485 @p446 @p445 @p483 @p479) :args (@t517 (@list true false false false) (@list @t499 @t498 @t514 @t518))) % 34.24/34.46 (step @p487 :rule cnf_or_pos :args (@t520)) % 34.24/34.46 (step @p488 :rule reordering :premises (@p487) :args ((or @t511 @t519 (not @t520)))) % 34.24/34.46 (step @p489 false :rule chain_m_resolution :premises (@p488 @p486 @p478 @p477) :args (false (@list false false true) (@list @t517 @t520 @t511))) % 34.24/34.46 ) % 34.24/34.46 % SZS output end Proof % 34.24/34.46 % cvc5 exiting %------------------------------------------------------------------------------