%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV825-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 34.33s 34.53s % Output : Proof 34.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV825-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:15:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.79 --- Run --no-e-matching --full-saturate-quant at 6... % 21.62/21.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.73/27.90 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.73/33.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.33/34.53 % SZS status Unsatisfiable % 34.33/34.53 % SZS output start Proof % 34.33/34.55 ( % 34.33/34.55 (declare-sort $$unsorted 0) % 34.33/34.55 (declare-const tptp.v_Z (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_G $$unsorted) % 34.33/34.55 (declare-const tptp.v_P_H $$unsorted) % 34.33/34.55 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Not $$unsorted) % 34.33/34.55 (declare-const tptp.tc_Com_Ostate $$unsorted) % 34.33/34.55 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_c $$unsorted) % 34.33/34.55 (declare-const tptp.v_Q $$unsorted) % 34.33/34.55 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_Q_H $$unsorted) % 34.33/34.55 (declare-const tptp.t_c $$unsorted) % 34.33/34.55 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_x $$unsorted) % 34.33/34.55 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.t_b $$unsorted) % 34.33/34.55 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_R $$unsorted) % 34.33/34.55 (declare-const tptp.t_a $$unsorted) % 34.33/34.55 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 34.33/34.55 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.tc_bool $$unsorted) % 34.33/34.55 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Orderings_Olinorder (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.33/34.55 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 34.33/34.55 (declare-const tptp.v_P $$unsorted) % 34.33/34.55 (define @t1 () (@var "V_Y" $$unsorted)) % 34.33/34.55 (define @t2 () (@var "T_a" $$unsorted)) % 34.33/34.55 (define @t3 () (tptp.c_COMBI @t2)) % 34.33/34.55 (define @t4 () (@list @t2 @t1)) % 34.33/34.55 (define @t5 () (@var "V_com_H" $$unsorted)) % 34.33/34.55 (define @t6 () (@var "V_fun_H" $$unsorted)) % 34.33/34.55 (define @t7 () (tptp.c_Com_Ocom_OWhile @t6 @t5)) % 34.33/34.55 (define @t8 () (@list @t6 @t5)) % 34.33/34.55 (define @t9 () (@var "V_A" $$unsorted)) % 34.33/34.55 (define @t10 () (tptp.c_Finite__Set_Ofinite @t9 @t2)) % 34.33/34.55 (define @t11 () (not @t10)) % 34.33/34.55 (define @t12 () (tptp.tc_fun @t2 tptp.tc_bool)) % 34.33/34.55 (define @t13 () (tptp.c_Orderings_Obot__class_Obot @t12)) % 34.33/34.55 (define @t14 () (= @t9 @t13)) % 34.33/34.55 (define @t15 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2)) % 34.33/34.55 (define @t16 () (tptp.c_Finite__Set_Ofold1 @t15 @t9 @t2)) % 34.33/34.55 (define @t17 () (@var "V_x" $$unsorted)) % 34.33/34.55 (define @t18 () (@var "V_xa" $$unsorted)) % 34.33/34.55 (define @t19 () (not (tptp.hBOOL (tptp.c_in @t18 @t9 @t2)))) % 34.33/34.55 (define @t20 () (not (tptp.class_Lattices_Olower__semilattice @t2))) % 34.33/34.55 (define @t21 () (@var "V_u" $$unsorted)) % 34.33/34.55 (define @t22 () (@var "T_b" $$unsorted)) % 34.33/34.55 (define @t23 () (tptp.tc_fun @t22 tptp.tc_bool)) % 34.33/34.55 (define @t24 () (@var "V_B" $$unsorted)) % 34.33/34.55 (define @t25 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 @t24 @t2 @t23)) % 34.33/34.55 (define @t26 () (@var "V_a" $$unsorted)) % 34.33/34.55 (define @t27 () (tptp.c_Set_Oinsert @t22)) % 34.33/34.55 (define @t28 () (tptp.hAPP @t27 @t26)) % 34.33/34.55 (define @t29 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t24 @t12)) % 34.33/34.55 (define @t30 () (tptp.c_Finite__Set_Ofinite @t29 @t2)) % 34.33/34.55 (define @t31 () (@list @t9 @t24 @t2)) % 34.33/34.55 (define @t32 () (@var "V_f" $$unsorted)) % 34.33/34.55 (define @t33 () (tptp.c_Fun_Oinj__on @t32 @t9 @t2 @t22)) % 34.33/34.55 (define @t34 () (not @t33)) % 34.33/34.55 (define @t35 () (tptp.c_Complete__Lattice_OInf__class_OInf @t9 @t2)) % 34.33/34.55 (define @t36 () (tptp.hAPP @t15 @t26)) % 34.33/34.55 (define @t37 () (tptp.c_Set_Oinsert @t2)) % 34.33/34.55 (define @t38 () (tptp.hAPP @t37 @t26)) % 34.33/34.55 (define @t39 () (tptp.hAPP @t38 @t9)) % 34.33/34.55 (define @t40 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t2))) % 34.33/34.55 (define @t41 () (@list @t2 @t26 @t9)) % 34.33/34.55 (define @t42 () (tptp.hBOOL (tptp.c_in @t17 @t24 @t2))) % 34.33/34.55 (define @t43 () (not @t42)) % 34.33/34.55 (define @t44 () (tptp.hAPP @t37 @t17)) % 34.33/34.55 (define @t45 () (tptp.hAPP @t44 @t9)) % 34.33/34.55 (define @t46 () (tptp.c_HOL_Ominus__class_Ominus @t45 @t24 @t12)) % 34.33/34.55 (define @t47 () (@list @t2 @t17 @t9 @t24)) % 34.33/34.55 (define @t48 () (tptp.hBOOL (tptp.c_in @t26 @t9 @t2))) % 34.33/34.55 (define @t49 () (not @t48)) % 34.33/34.55 (define @t50 () (tptp.hAPP @t24 @t26)) % 34.33/34.55 (define @t51 () (@var "V_i" $$unsorted)) % 34.33/34.55 (define @t52 () (@var "V_M" $$unsorted)) % 34.33/34.55 (define @t53 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t22))) % 34.33/34.55 (define @t54 () (@list @t32 @t9 @t2)) % 34.33/34.55 (define @t55 () (tptp.hAPP @t44 @t13)) % 34.33/34.55 (define @t56 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t9 @t55 @t12) @t24 @t12)) % 34.33/34.55 (define @t57 () (not @t56)) % 34.33/34.55 (define @t58 () (tptp.hBOOL (tptp.c_in @t17 @t9 @t2))) % 34.33/34.55 (define @t59 () (not @t58)) % 34.33/34.55 (define @t60 () (tptp.hAPP @t44 @t24)) % 34.33/34.55 (define @t61 () (tptp.c_lessequals @t9 @t60 @t12)) % 34.33/34.55 (define @t62 () (@list @t9 @t2 @t17 @t24)) % 34.33/34.55 (define @t63 () (not @t61)) % 34.33/34.55 (define @t64 () (@var "V_C" $$unsorted)) % 34.33/34.55 (define @t65 () (not (tptp.c_Fun_Oinj__on @t32 @t64 @t2 @t22))) % 34.33/34.55 (define @t66 () (tptp.c_lessequals @t9 @t64 @t12)) % 34.33/34.55 (define @t67 () (not @t66)) % 34.33/34.55 (define @t68 () (tptp.c_lessequals @t24 @t64 @t12)) % 34.33/34.55 (define @t69 () (not @t68)) % 34.33/34.55 (define @t70 () (tptp.c_Set_Oimage @t32 @t2 @t22)) % 34.33/34.55 (define @t71 () (tptp.hAPP @t70 @t24)) % 34.33/34.55 (define @t72 () (tptp.hAPP @t70 @t9)) % 34.33/34.55 (define @t73 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23)) % 34.33/34.55 (define @t74 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12)) % 34.33/34.55 (define @t75 () (tptp.hAPP @t74 @t9)) % 34.33/34.55 (define @t76 () (tptp.hAPP @t75 @t24)) % 34.33/34.55 (define @t77 () (@list @t32 @t2 @t22 @t9 @t24 @t64)) % 34.33/34.55 (define @t78 () (tptp.c_Set_Oimage @t32 @t22 @t2)) % 34.33/34.55 (define @t79 () (tptp.hAPP @t78 @t9)) % 34.33/34.55 (define @t80 () (not (tptp.hBOOL (tptp.c_in @t17 @t9 @t22)))) % 34.33/34.55 (define @t81 () (tptp.hAPP @t32 @t17)) % 34.33/34.55 (define @t82 () (tptp.c_Orderings_Obot__class_Obot @t23)) % 34.33/34.55 (define @t83 () (@var "V_c" $$unsorted)) % 34.33/34.55 (define @t84 () (tptp.c_COMBK @t83 @t22 @t2)) % 34.33/34.55 (define @t85 () (not (= @t76 @t13))) % 34.33/34.55 (define @t86 () (@list @t2 @t9 @t24)) % 34.33/34.55 (define @t87 () (@var "V_g" $$unsorted)) % 34.33/34.55 (define @t88 () (tptp.hAPP @t87 tptp.v_x)) % 34.33/34.55 (define @t89 () (tptp.hAPP @t32 tptp.v_x)) % 34.33/34.55 (define @t90 () (tptp.tc_fun tptp.t_a @t22)) % 34.33/34.55 (define @t91 () (not (tptp.class_Lattices_Olattice @t22))) % 34.33/34.55 (define @t92 () (@list @t22 @t32 @t87)) % 34.33/34.55 (define @t93 () (@var "T_c" $$unsorted)) % 34.33/34.55 (define @t94 () (tptp.c_Fun_Ocomp @t87 @t32 @t93 @t22 @t2)) % 34.33/34.55 (define @t95 () (tptp.hAPP @t74 @t64)) % 34.33/34.55 (define @t96 () (tptp.hAPP @t95 @t9)) % 34.33/34.55 (define @t97 () (tptp.hAPP @t74 @t24)) % 34.33/34.55 (define @t98 () (tptp.hAPP @t97 @t9)) % 34.33/34.55 (define @t99 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12)) % 34.33/34.55 (define @t100 () (tptp.hAPP @t99 @t24)) % 34.33/34.55 (define @t101 () (tptp.hAPP @t100 @t64)) % 34.33/34.55 (define @t102 () (@list @t2 @t24 @t64 @t9)) % 34.33/34.55 (define @t103 () (tptp.hAPP @t75 @t64)) % 34.33/34.55 (define @t104 () (tptp.hAPP @t99 @t76)) % 34.33/34.55 (define @t105 () (tptp.hAPP @t75 @t101)) % 34.33/34.55 (define @t106 () (@list @t2 @t9 @t24 @t64)) % 34.33/34.55 (define @t107 () (@var "V_z" $$unsorted)) % 34.33/34.55 (define @t108 () (tptp.hAPP @t15 @t17)) % 34.33/34.55 (define @t109 () (tptp.hAPP @t108 @t107)) % 34.33/34.55 (define @t110 () (@var "V_y" $$unsorted)) % 34.33/34.55 (define @t111 () (tptp.hAPP @t108 @t110)) % 34.33/34.55 (define @t112 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2)) % 34.33/34.55 (define @t113 () (tptp.hAPP (tptp.hAPP @t112 @t111) @t109)) % 34.33/34.55 (define @t114 () (tptp.hAPP @t112 @t110)) % 34.33/34.55 (define @t115 () (tptp.hAPP @t114 @t107)) % 34.33/34.55 (define @t116 () (tptp.hAPP @t108 @t115)) % 34.33/34.55 (define @t117 () (not (tptp.class_Lattices_Odistrib__lattice @t2))) % 34.33/34.55 (define @t118 () (@list @t2 @t17 @t110 @t107)) % 34.33/34.55 (define @t119 () (tptp.hAPP @t15 @t110)) % 34.33/34.55 (define @t120 () (tptp.hAPP @t119 @t17)) % 34.33/34.55 (define @t121 () (@list @t2 @t110 @t107 @t17)) % 34.33/34.55 (define @t122 () (@var "V_P" $$unsorted)) % 34.33/34.55 (define @t123 () (tptp.c_Collect @t122 @t2)) % 34.33/34.55 (define @t124 () (tptp.hBOOL (tptp.c_in @t17 (tptp.hAPP @t75 @t123) @t2))) % 34.33/34.55 (define @t125 () (not @t124)) % 34.33/34.55 (define @t126 () (tptp.hBOOL (tptp.hAPP @t122 @t17))) % 34.33/34.55 (define @t127 () (tptp.hAPP @t99 @t9)) % 34.33/34.55 (define @t128 () (@list @t2 @t9)) % 34.33/34.55 (define @t129 () (tptp.hAPP @t112 @t17)) % 34.33/34.55 (define @t130 () (not (tptp.class_Lattices_Oupper__semilattice @t2))) % 34.33/34.55 (define @t131 () (@list @t2 @t17)) % 34.33/34.55 (define @t132 () (tptp.hAPP @t38 @t13)) % 34.33/34.55 (define @t133 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t132 @t12)) % 34.33/34.55 (define @t134 () (tptp.hAPP @t32 @t26)) % 34.33/34.55 (define @t135 () (tptp.hBOOL (tptp.c_in @t134 (tptp.hAPP @t70 @t133) @t22))) % 34.33/34.55 (define @t136 () (tptp.c_Fun_Oinj__on @t32 @t39 @t2 @t22)) % 34.33/34.55 (define @t137 () (tptp.c_COMBB @t127 @t24 @t12 @t12 @t22)) % 34.33/34.55 (define @t138 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t82 @t24 @t22 @t12)) % 34.33/34.55 (define @t139 () (@var "V_S" $$unsorted)) % 34.33/34.55 (define @t140 () (tptp.hBOOL (tptp.hAPP @t139 @t17))) % 34.33/34.55 (define @t141 () (tptp.hBOOL (tptp.c_in @t17 @t139 @t2))) % 34.33/34.55 (define @t142 () (@var "V_R" $$unsorted)) % 34.33/34.55 (define @t143 () (@var "V_Q" $$unsorted)) % 34.33/34.55 (define @t144 () (tptp.hAPP @t143 @t142)) % 34.33/34.55 (define @t145 () (tptp.hAPP @t122 @t142)) % 34.33/34.55 (define @t146 () (@list @t122 @t143 @t142 @t22 @t93 @t2)) % 34.33/34.55 (define @t147 () (tptp.hAPP @t127 @t24)) % 34.33/34.55 (define @t148 () (tptp.c_Fun_Oinj__on @t32 @t147 @t2 @t22)) % 34.33/34.55 (define @t149 () (tptp.c_Fun_Oinj__on @t32 @t24 @t2 @t22)) % 34.33/34.55 (define @t150 () (not @t149)) % 34.33/34.55 (define @t151 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t9 @t12)) % 34.33/34.55 (define @t152 () (tptp.hAPP @t70 @t29)) % 34.33/34.55 (define @t153 () (= (tptp.hAPP (tptp.hAPP @t73 @t152) (tptp.hAPP @t70 @t151)) @t82)) % 34.33/34.55 (define @t154 () (@list @t22 @t32 @t2 @t9 @t24)) % 34.33/34.55 (define @t155 () (not @t148)) % 34.33/34.55 (define @t156 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t2)) % 34.33/34.55 (define @t157 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 34.33/34.55 (define @t158 () (@var "V_y_H" $$unsorted)) % 34.33/34.55 (define @t159 () (@var "V_x_H" $$unsorted)) % 34.33/34.55 (define @t160 () (tptp.c_HOL_Ominus__class_Ominus @t159 @t158 @t2)) % 34.33/34.55 (define @t161 () (@var "V_N" $$unsorted)) % 34.33/34.55 (define @t162 () (not (tptp.c_lessequals @t52 @t161 @t12))) % 34.33/34.55 (define @t163 () (= @t52 @t13)) % 34.33/34.55 (define @t164 () (not (tptp.c_Finite__Set_Ofinite @t161 @t2))) % 34.33/34.55 (define @t165 () (not (tptp.class_Orderings_Olinorder @t2))) % 34.33/34.55 (define @t166 () (@var "V_less" $$unsorted)) % 34.33/34.55 (define @t167 () (@var "V_less__eq" $$unsorted)) % 34.33/34.55 (define @t168 () (not (tptp.c_Orderings_Olinorder @t167 @t166 @t2))) % 34.33/34.55 (define @t169 () (tptp.hAPP @t166 @t17)) % 34.33/34.55 (define @t170 () (tptp.hBOOL (tptp.hAPP @t169 @t17))) % 34.33/34.55 (define @t171 () (not @t170)) % 34.33/34.55 (define @t172 () (@list @t166 @t17 @t167 @t2)) % 34.33/34.55 (define @t173 () (tptp.c_lessequals @t17 @t110 @t2)) % 34.33/34.55 (define @t174 () (not @t173)) % 34.33/34.55 (define @t175 () (tptp.c_SetInterval_Oord__class_OlessThan @t110 @t2)) % 34.33/34.55 (define @t176 () (tptp.c_SetInterval_Oord__class_OlessThan @t17 @t2)) % 34.33/34.55 (define @t177 () (tptp.c_lessequals @t176 @t175 @t12)) % 34.33/34.55 (define @t178 () (@list @t2 @t17 @t110)) % 34.33/34.55 (define @t179 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t24 @t23)) % 34.33/34.55 (define @t180 () (tptp.hAPP @t78 @t24)) % 34.33/34.55 (define @t181 () (@list @t32 @t22 @t2 @t9 @t24)) % 34.33/34.55 (define @t182 () (tptp.hAPP @t127 @t64)) % 34.33/34.55 (define @t183 () (tptp.hAPP @t127 @t101)) % 34.33/34.55 (define @t184 () (tptp.hAPP @t129 @t115)) % 34.33/34.55 (define @t185 () (tptp.hAPP @t129 @t110)) % 34.33/34.55 (define @t186 () (= (tptp.hAPP (tptp.hAPP @t112 @t185) @t107) @t184)) % 34.33/34.55 (define @t187 () (tptp.hAPP @t129 @t107)) % 34.33/34.55 (define @t188 () (= @t184 (tptp.hAPP @t114 @t187))) % 34.33/34.55 (define @t189 () (not (tptp.class_Lattices_Olattice @t2))) % 34.33/34.55 (define @t190 () (tptp.hBOOL (tptp.c_in @t83 @t76 @t2))) % 34.33/34.55 (define @t191 () (not @t190)) % 34.33/34.55 (define @t192 () (tptp.hBOOL (tptp.c_in @t83 @t24 @t2))) % 34.33/34.55 (define @t193 () (@list @t83 @t24 @t2 @t9)) % 34.33/34.55 (define @t194 () (tptp.hBOOL (tptp.c_in @t83 @t9 @t2))) % 34.33/34.55 (define @t195 () (@list @t83 @t9 @t2 @t24)) % 34.33/34.55 (define @t196 () (= @t17 @t110)) % 34.33/34.55 (define @t197 () (not (tptp.hBOOL (tptp.c_in @t110 @t9 @t2)))) % 34.33/34.55 (define @t198 () (not (= @t81 (tptp.hAPP @t32 @t110)))) % 34.33/34.55 (define @t199 () (@list @t32 @t17 @t110 @t9 @t2 @t22)) % 34.33/34.55 (define @t200 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t64 @t24 @t22 @t12)) % 34.33/34.55 (define @t201 () (tptp.hAPP @t75 @t200)) % 34.33/34.55 (define @t202 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t64 (tptp.c_COMBB @t75 @t24 @t12 @t12 @t22) @t22 @t12)) % 34.33/34.55 (define @t203 () (@list @t64 @t2 @t9 @t24 @t22)) % 34.33/34.55 (define @t204 () (tptp.c_lessequals @t9 @t24 @t12)) % 34.33/34.55 (define @t205 () (not @t204)) % 34.33/34.55 (define @t206 () (not (tptp.c_lessequals @t24 @t9 @t12))) % 34.33/34.55 (define @t207 () (= @t111 @t17)) % 34.33/34.55 (define @t208 () (tptp.c_lessequals @t110 @t17 @t2)) % 34.33/34.55 (define @t209 () (not @t208)) % 34.33/34.55 (define @t210 () (tptp.c_lessequals @t147 @t64 @t12)) % 34.33/34.55 (define @t211 () (@list @t9 @t2 @t24)) % 34.33/34.55 (define @t212 () (tptp.c_lessequals @t26 @t17 @t2)) % 34.33/34.55 (define @t213 () (not @t212)) % 34.33/34.55 (define @t214 () (@var "V_b" $$unsorted)) % 34.33/34.55 (define @t215 () (tptp.c_lessequals @t214 @t17 @t2)) % 34.33/34.55 (define @t216 () (not @t215)) % 34.33/34.55 (define @t217 () (tptp.hAPP @t112 @t26)) % 34.33/34.55 (define @t218 () (tptp.hAPP @t217 @t214)) % 34.33/34.55 (define @t219 () (tptp.c_lessequals @t218 @t17 @t2)) % 34.33/34.55 (define @t220 () (@list @t2 @t26 @t214 @t17)) % 34.33/34.55 (define @t221 () (tptp.c_lessequals @t17 @t185 @t2)) % 34.33/34.55 (define @t222 () (tptp.c_lessequals @t110 @t185 @t2)) % 34.33/34.55 (define @t223 () (@list @t2 @t110 @t17)) % 34.33/34.55 (define @t224 () (tptp.c_lessequals @t107 @t17 @t2)) % 34.33/34.55 (define @t225 () (tptp.c_lessequals @t17 @t107 @t2)) % 34.33/34.55 (define @t226 () (not @t225)) % 34.33/34.55 (define @t227 () (tptp.c_lessequals @t110 @t107 @t2)) % 34.33/34.55 (define @t228 () (not @t227)) % 34.33/34.55 (define @t229 () (tptp.c_lessequals @t185 @t107 @t2)) % 34.33/34.55 (define @t230 () (= @t111 @t120)) % 34.33/34.55 (define @t231 () (tptp.hAPP @t127 @t151)) % 34.33/34.55 (define @t232 () (@var "V_com2_H" $$unsorted)) % 34.33/34.55 (define @t233 () (@var "V_com1_H" $$unsorted)) % 34.33/34.55 (define @t234 () (tptp.c_Com_Ocom_OCond @t6 @t233 @t232)) % 34.33/34.55 (define @t235 () (@list @t6 @t233 @t232)) % 34.33/34.55 (define @t236 () (tptp.hAPP @t99 @t64)) % 34.33/34.55 (define @t237 () (tptp.hAPP @t236 @t9)) % 34.33/34.55 (define @t238 () (tptp.hAPP @t74 @t147)) % 34.33/34.55 (define @t239 () (tptp.hAPP @t97 @t64)) % 34.33/34.55 (define @t240 () (tptp.c_Set_Oimage (tptp.c_COMBK @t83 @t2 @t22) @t22 @t2)) % 34.33/34.55 (define @t241 () (tptp.hBOOL (tptp.hAPP @t122 @t26))) % 34.33/34.55 (define @t242 () (tptp.hBOOL (tptp.c_in @t26 @t123 @t2))) % 34.33/34.55 (define @t243 () (not @t194)) % 34.33/34.55 (define @t244 () (tptp.hBOOL (tptp.c_in @t83 @t29 @t2))) % 34.33/34.55 (define @t245 () (tptp.c_lessequals @t45 @t24 @t12)) % 34.33/34.55 (define @t246 () (not @t245)) % 34.33/34.55 (define @t247 () (@list @t17 @t24 @t2 @t9)) % 34.33/34.55 (define @t248 () (@list @t9 @t24 @t2 @t17)) % 34.33/34.55 (define @t249 () (tptp.c_Set_Ovimage @t32 @t22 @t2)) % 34.33/34.55 (define @t250 () (tptp.hAPP @t249 @t24)) % 34.33/34.55 (define @t251 () (tptp.hAPP @t249 @t9)) % 34.33/34.55 (define @t252 () (tptp.hAPP @t38 @t24)) % 34.33/34.55 (define @t253 () (tptp.hAPP @t75 @t252)) % 34.33/34.55 (define @t254 () (@list @t2 @t9 @t26 @t24)) % 34.33/34.55 (define @t255 () (tptp.hBOOL (tptp.c_in @t26 @t64 @t2))) % 34.33/34.55 (define @t256 () (tptp.hAPP (tptp.hAPP @t74 @t252) @t64)) % 34.33/34.55 (define @t257 () (@list @t2 @t26 @t24 @t64)) % 34.33/34.55 (define @t258 () (tptp.hAPP @t24 @t17)) % 34.33/34.55 (define @t259 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 @t24 @t22 @t12)) % 34.33/34.55 (define @t260 () (tptp.hAPP @t100 @t9)) % 34.33/34.55 (define @t261 () (tptp.c_Set_Ovimage @t32 @t2 @t22)) % 34.33/34.55 (define @t262 () (tptp.hAPP @t261 @t24)) % 34.33/34.55 (define @t263 () (tptp.hAPP @t261 @t9)) % 34.33/34.55 (define @t264 () (@list @t32 @t2 @t22 @t9 @t24)) % 34.33/34.55 (define @t265 () (@var "V_times" $$unsorted)) % 34.33/34.55 (define @t266 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t265 @t2))) % 34.33/34.55 (define @t267 () (tptp.c_Finite__Set_Ofold1 @t265 @t9 @t2)) % 34.33/34.55 (define @t268 () (@list @t32 @t22 @t2 @t9)) % 34.33/34.55 (define @t269 () (@list @t2)) % 34.33/34.55 (define @t270 () (@var "V_com2" $$unsorted)) % 34.33/34.55 (define @t271 () (= @t270 @t232)) % 34.33/34.55 (define @t272 () (tptp.c_Com_Ocom_OSemi @t233 @t232)) % 34.33/34.55 (define @t273 () (@var "V_com1" $$unsorted)) % 34.33/34.55 (define @t274 () (tptp.c_Com_Ocom_OSemi @t273 @t270)) % 34.33/34.55 (define @t275 () (not (= @t274 @t272))) % 34.33/34.55 (define @t276 () (@list @t273 @t270 @t233 @t232)) % 34.33/34.55 (define @t277 () (= @t273 @t233)) % 34.33/34.55 (define @t278 () (tptp.c_Complete__Lattice_OSup__class_OSup @t9 @t2)) % 34.33/34.55 (define @t279 () (not (tptp.c_Finite__Set_Ofinite @t24 @t2))) % 34.33/34.55 (define @t280 () (not @t30)) % 34.33/34.55 (define @t281 () (= @t258 @t13)) % 34.33/34.55 (define @t282 () (@var "V_fun" $$unsorted)) % 34.33/34.55 (define @t283 () (tptp.c_Com_Ocom_OCond @t282 @t273 @t270)) % 34.33/34.55 (define @t284 () (not @t244)) % 34.33/34.55 (define @t285 () (= @t9 @t24)) % 34.33/34.55 (define @t286 () (not @t192)) % 34.33/34.55 (define @t287 () (@var "V_I" $$unsorted)) % 34.33/34.55 (define @t288 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t287 @t9 @t22 @t12)) % 34.33/34.55 (define @t289 () (tptp.hAPP @t9 @t17)) % 34.33/34.55 (define @t290 () (@var "V_k" $$unsorted)) % 34.33/34.55 (define @t291 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t287 @t9 @t2 @t23)) % 34.33/34.55 (define @t292 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23)) % 34.33/34.55 (define @t293 () (not (= @t283 @t234))) % 34.33/34.55 (define @t294 () (@list @t282 @t273 @t270 @t6 @t233 @t232)) % 34.33/34.55 (define @t295 () (= @t282 @t6)) % 34.33/34.55 (define @t296 () (tptp.hAPP (tptp.hAPP @t73 @t9) @t24)) % 34.33/34.55 (define @t297 () (@var "V_F" $$unsorted)) % 34.33/34.55 (define @t298 () (tptp.c_Finite__Set_Ofinite @t297 @t2)) % 34.33/34.55 (define @t299 () (not @t298)) % 34.33/34.55 (define @t300 () (@var "V_G" $$unsorted)) % 34.33/34.55 (define @t301 () (tptp.c_Finite__Set_Ofinite @t300 @t2)) % 34.33/34.55 (define @t302 () (not @t301)) % 34.33/34.55 (define @t303 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t99 @t297) @t300) @t2)) % 34.33/34.55 (define @t304 () (@list @t2 @t297 @t300)) % 34.33/34.55 (define @t305 () (tptp.c_lessequals @t83 @t26 @t2)) % 34.33/34.55 (define @t306 () (@var "V_d" $$unsorted)) % 34.33/34.55 (define @t307 () (tptp.c_lessequals @t214 @t306 @t2)) % 34.33/34.55 (define @t308 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t26 @t214 @t2)) % 34.33/34.55 (define @t309 () (tptp.c_lessequals @t308 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t83 @t306 @t2) @t12)) % 34.33/34.55 (define @t310 () (not (tptp.class_Orderings_Oorder @t2))) % 34.33/34.55 (define @t311 () (@list @t2 @t26 @t214 @t83 @t306)) % 34.33/34.55 (define @t312 () (not @t309)) % 34.33/34.55 (define @t313 () (tptp.c_lessequals @t26 @t214 @t2)) % 34.33/34.55 (define @t314 () (not @t313)) % 34.33/34.55 (define @t315 () (tptp.c_lessequals @t64 @t9 @t12)) % 34.33/34.55 (define @t316 () (= (tptp.hAPP @t104 @t64) @t105)) % 34.33/34.55 (define @t317 () (not @t315)) % 34.33/34.55 (define @t318 () (tptp.hAPP @t87 @t17)) % 34.33/34.55 (define @t319 () (tptp.hAPP @t32 @t318)) % 34.33/34.55 (define @t320 () (tptp.hAPP (tptp.c_Fun_Ocomp @t32 @t87 @t22 @t2 @t93) @t17)) % 34.33/34.55 (define @t321 () (@var "V_v" $$unsorted)) % 34.33/34.55 (define @t322 () (tptp.c_Fun_Ocomp @t26 @t214 @t93 @t22 @t2)) % 34.33/34.55 (define @t323 () (tptp.hAPP @t26 (tptp.hAPP @t214 @t321))) % 34.33/34.55 (define @t324 () (tptp.hAPP @t265 @t214)) % 34.33/34.55 (define @t325 () (tptp.hAPP @t265 @t26)) % 34.33/34.55 (define @t326 () (tptp.hAPP @t325 (tptp.hAPP @t324 @t83))) % 34.33/34.55 (define @t327 () (tptp.hAPP @t325 @t214)) % 34.33/34.55 (define @t328 () (@list @t265 @t26 @t214 @t83 @t2)) % 34.33/34.55 (define @t329 () (tptp.hBOOL (tptp.hAPP @t147 @t17))) % 34.33/34.55 (define @t330 () (tptp.hBOOL @t289)) % 34.33/34.55 (define @t331 () (tptp.hBOOL @t258)) % 34.33/34.55 (define @t332 () (not @t331)) % 34.33/34.55 (define @t333 () (@list @t2 @t9 @t24 @t17)) % 34.33/34.55 (define @t334 () (not @t330)) % 34.33/34.55 (define @t335 () (tptp.hAPP (tptp.c_Set_Oimage @t32 @t2 @t2) @t9)) % 34.33/34.55 (define @t336 () (tptp.c_Fun_Oinj__on @t32 @t9 @t2 @t2)) % 34.33/34.55 (define @t337 () (tptp.hBOOL (tptp.c_in @t83 @t147 @t2))) % 34.33/34.55 (define @t338 () (tptp.hAPP @t119 @t107)) % 34.33/34.55 (define @t339 () (tptp.hAPP @t108 @t338)) % 34.33/34.55 (define @t340 () (= (tptp.hAPP (tptp.hAPP @t15 @t111) @t107) @t339)) % 34.33/34.55 (define @t341 () (= @t339 (tptp.hAPP @t119 @t109))) % 34.33/34.55 (define @t342 () (tptp.hAPP @t75 @t239)) % 34.33/34.55 (define @t343 () (not @t303)) % 34.33/34.55 (define @t344 () (tptp.c_HOL_Ominus__class_Ominus @t103 @t239 @t12)) % 34.33/34.55 (define @t345 () (tptp.hAPP @t74 @t29)) % 34.33/34.55 (define @t346 () (@var "V_D" $$unsorted)) % 34.33/34.55 (define @t347 () (tptp.hAPP (tptp.hAPP @t15 @t185) @t187)) % 34.33/34.55 (define @t348 () (tptp.hAPP @t129 @t338)) % 34.33/34.55 (define @t349 () (tptp.hAPP @t99 @t29)) % 34.33/34.55 (define @t350 () (= @t185 @t110)) % 34.33/34.55 (define @t351 () (= @t147 @t24)) % 34.33/34.55 (define @t352 () (@var "V_h" $$unsorted)) % 34.33/34.55 (define @t353 () (= @t64 @t82)) % 34.33/34.55 (define @t354 () (tptp.hAPP @t127 @t200)) % 34.33/34.55 (define @t355 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t64 @t137 @t22 @t12)) % 34.33/34.55 (define @t356 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 34.33/34.55 (define @t357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t166 @t110) @t17))) % 34.33/34.55 (define @t358 () (not @t357)) % 34.33/34.55 (define @t359 () (tptp.hBOOL (tptp.hAPP @t169 @t110))) % 34.33/34.55 (define @t360 () (not @t359)) % 34.33/34.55 (define @t361 () (@list @t166 @t17 @t110 @t167 @t2)) % 34.33/34.55 (define @t362 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t167 @t110) @t17))) % 34.33/34.55 (define @t363 () (@list @t167 @t110 @t17 @t166 @t2)) % 34.33/34.55 (define @t364 () (tptp.hAPP @t167 @t17)) % 34.33/34.55 (define @t365 () (tptp.hBOOL (tptp.hAPP @t364 @t110))) % 34.33/34.55 (define @t366 () (@list @t166 @t110 @t17 @t167 @t2)) % 34.33/34.55 (define @t367 () (not @t365)) % 34.33/34.55 (define @t368 () (tptp.hBOOL (tptp.hAPP @t364 @t17))) % 34.33/34.55 (define @t369 () (@list @t2 @t9 @t17)) % 34.33/34.55 (define @t370 () (= @t13 @t308)) % 34.33/34.55 (define @t371 () (@list @t2 @t26 @t214)) % 34.33/34.55 (define @t372 () (tptp.hAPP @t38 @t76)) % 34.33/34.55 (define @t373 () (tptp.c_lessequals @t64 @t76 @t12)) % 34.33/34.55 (define @t374 () (not @t373)) % 34.33/34.55 (define @t375 () (tptp.c_lessequals @t64 @t24 @t12)) % 34.33/34.55 (define @t376 () (tptp.hAPP @t36 @t214)) % 34.33/34.55 (define @t377 () (tptp.c_lessequals @t17 @t376 @t2)) % 34.33/34.55 (define @t378 () (not @t377)) % 34.33/34.55 (define @t379 () (tptp.c_lessequals @t17 @t26 @t2)) % 34.33/34.55 (define @t380 () (@list @t2 @t17 @t26 @t214)) % 34.33/34.55 (define @t381 () (tptp.c_lessequals @t17 @t214 @t2)) % 34.33/34.55 (define @t382 () (tptp.c_lessequals @t376 @t17 @t2)) % 34.33/34.55 (define @t383 () (tptp.c_lessequals @t17 @t338 @t2)) % 34.33/34.55 (define @t384 () (not @t383)) % 34.33/34.55 (define @t385 () (@list @t2 @t17 @t107 @t110)) % 34.33/34.55 (define @t386 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t64 @t12)) % 34.33/34.55 (define @t387 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t64 @t12)) % 34.33/34.55 (define @t388 () (tptp.hBOOL (tptp.c_in @t134 @t24 @t22))) % 34.33/34.55 (define @t389 () (tptp.hBOOL (tptp.c_in @t26 @t262 @t2))) % 34.33/34.55 (define @t390 () (@var "V_top" $$unsorted)) % 34.33/34.55 (define @t391 () (@var "V_bot" $$unsorted)) % 34.33/34.55 (define @t392 () (@var "V_sup" $$unsorted)) % 34.33/34.55 (define @t393 () (@var "V_inf" $$unsorted)) % 34.33/34.55 (define @t394 () (@var "V_Sup" $$unsorted)) % 34.33/34.55 (define @t395 () (@var "V_Inf" $$unsorted)) % 34.33/34.55 (define @t396 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t395 @t394 @t167 @t166 @t393 @t392 @t391 @t390 @t2))) % 34.33/34.55 (define @t397 () (tptp.hAPP @t395 @t9)) % 34.33/34.55 (define @t398 () (tptp.hAPP @t394 @t9)) % 34.33/34.55 (define @t399 () (tptp.hAPP @t114 @t17)) % 34.33/34.55 (define @t400 () (= @t185 @t399)) % 34.33/34.55 (define @t401 () (@var "V_com" $$unsorted)) % 34.33/34.55 (define @t402 () (not (= (tptp.c_Com_Ocom_OWhile @t282 @t401) @t7))) % 34.33/34.55 (define @t403 () (@list @t282 @t401 @t6 @t5)) % 34.33/34.55 (define @t404 () (= @t401 @t5)) % 34.33/34.55 (define @t405 () (@list @t2 @t9 @t64 @t24 @t22)) % 34.33/34.55 (define @t406 () (= (tptp.hAPP @t129 @t185) @t185)) % 34.33/34.55 (define @t407 () (tptp.hBOOL (tptp.hAPP @t25 @t214))) % 34.33/34.55 (define @t408 () (= @t24 @t13)) % 34.33/34.55 (define @t409 () (tptp.hAPP (tptp.hAPP @t292 @t9) @t24)) % 34.33/34.55 (define @t410 () (not @t136)) % 34.33/34.55 (define @t411 () (@list @t17 @t110 @t166 @t167 @t2)) % 34.33/34.55 (define @t412 () (tptp.hBOOL (tptp.hAPP @t76 @t17))) % 34.33/34.55 (define @t413 () (not @t412)) % 34.33/34.55 (define @t414 () (@list @t32 @t9 @t2 @t22 @t24)) % 34.33/34.55 (define @t415 () (@var "T_aa" $$unsorted)) % 34.33/34.55 (define @t416 () (tptp.hBOOL (tptp.c_in @t81 @t79 @t2))) % 34.33/34.55 (define @t417 () (@list @t17 @t9 @t22 @t32 @t2)) % 34.33/34.55 (define @t418 () (tptp.c_lessequals @t9 @t101 @t12)) % 34.33/34.55 (define @t419 () (tptp.c_lessequals @t29 @t64 @t12)) % 34.33/34.55 (define @t420 () (@list @t9 @t2 @t24 @t64)) % 34.33/34.55 (define @t421 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t74 @t297) @t300) @t2)) % 34.33/34.55 (define @t422 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 34.33/34.55 (define @t423 () (not (tptp.class_Lattices_Obounded__lattice @t2))) % 34.33/34.55 (define @t424 () (not (= (tptp.hAPP (tptp.hAPP @t112 @t9) @t24) @t422))) % 34.33/34.55 (define @t425 () (@list @t32 @t2 @t22)) % 34.33/34.55 (define @t426 () (tptp.hAPP @t99 @t13)) % 34.33/34.55 (define @t427 () (= @t9 @t82)) % 34.33/34.55 (define @t428 () (not @t126)) % 34.33/34.55 (define @t429 () (not (tptp.hBOOL (tptp.c_in @t17 @t13 @t2)))) % 34.33/34.55 (define @t430 () (@list @t17 @t2)) % 34.33/34.55 (define @t431 () (@list @t122 @t17 @t2)) % 34.33/34.55 (define @t432 () (@list @t26 @t2)) % 34.33/34.55 (define @t433 () (@list @t9 @t2)) % 34.33/34.55 (define @t434 () (@list @t32 @t2 @t17)) % 34.33/34.55 (define @t435 () (@list @t2 @t24)) % 34.33/34.55 (define @t436 () (tptp.hAPP @t78 @t82)) % 34.33/34.55 (define @t437 () (not (= @t147 @t13))) % 34.33/34.55 (define @t438 () (tptp.hAPP @t28 @t82)) % 34.33/34.55 (define @t439 () (tptp.hAPP @t28 @t24)) % 34.33/34.55 (define @t440 () (tptp.hAPP @t38 @t133)) % 34.33/34.55 (define @t441 () (tptp.c_COMBB @t38 @t24 @t12 @t12 @t22)) % 34.33/34.55 (define @t442 () (tptp.hAPP @t37 @t83)) % 34.33/34.55 (define @t443 () (tptp.hAPP @t38 @t200)) % 34.33/34.55 (define @t444 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t64 @t441 @t22 @t12)) % 34.33/34.55 (define @t445 () (not (tptp.c_lessequals @t24 @t346 @t12))) % 34.33/34.55 (define @t446 () (@list @t2 @t9 @t24 @t64 @t346)) % 34.33/34.55 (define @t447 () (tptp.c_lessequals @t111 @t17 @t2)) % 34.33/34.55 (define @t448 () (tptp.c_lessequals @t111 @t110 @t2)) % 34.33/34.55 (define @t449 () (not @t379)) % 34.33/34.55 (define @t450 () (not @t381)) % 34.33/34.55 (define @t451 () (@var "T_d" $$unsorted)) % 34.33/34.55 (define @t452 () (@list @t233 @t232)) % 34.33/34.55 (define @t453 () (= (tptp.hAPP @t108 @t111) @t111)) % 34.33/34.55 (define @t454 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 @t24 @t93 @t23)) % 34.33/34.55 (define @t455 () (not (tptp.c_Finite__Set_Ofun__left__comm__idem @t32 @t2 @t22))) % 34.33/34.55 (define @t456 () (tptp.hAPP @t81 @t107)) % 34.33/34.55 (define @t457 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t252 @t12)) % 34.33/34.55 (define @t458 () (tptp.c_Finite__Set_Ofinite @t457 @t2)) % 34.33/34.55 (define @t459 () (@list @t9 @t2 @t26 @t24)) % 34.33/34.55 (define @t460 () (@var "V_r" $$unsorted)) % 34.33/34.55 (define @t461 () (@list @t83 @t2 @t9 @t24)) % 34.33/34.55 (define @t462 () (not @t229)) % 34.33/34.55 (define @t463 () (tptp.c_lessequals @t17 @t218 @t2)) % 34.33/34.55 (define @t464 () (not @t219)) % 34.33/34.55 (define @t465 () (not @t210)) % 34.33/34.55 (define @t466 () (@list @t9 @t64 @t2 @t24)) % 34.33/34.55 (define @t467 () (tptp.c_Finite__Set_Olinorder__class_OMax @t9 @t2)) % 34.33/34.55 (define @t468 () (not (tptp.class_Orderings_Opreorder @t2))) % 34.33/34.55 (define @t469 () (@var "V_t" $$unsorted)) % 34.33/34.55 (define @t470 () (not (tptp.c_lessequals @t122 @t143 @t12))) % 34.33/34.55 (define @t471 () (tptp.hBOOL (tptp.hAPP @t143 @t17))) % 34.33/34.55 (define @t472 () (@list @t143 @t17 @t122 @t2)) % 34.33/34.55 (define @t473 () (tptp.c_lessequals @t17 @t17 @t2)) % 34.33/34.55 (define @t474 () (= @t308 @t13)) % 34.33/34.55 (define @t475 () (tptp.c_Finite__Set_Olinorder__class_OMin @t9 @t2)) % 34.33/34.55 (define @t476 () (@var "T_e" $$unsorted)) % 34.33/34.55 (define @t477 () (@var "V_g_H" $$unsorted)) % 34.33/34.55 (define @t478 () (@var "V_f_H" $$unsorted)) % 34.33/34.55 (define @t479 () (tptp.hBOOL (tptp.hAPP @t263 @t17))) % 34.33/34.55 (define @t480 () (tptp.hBOOL (tptp.hAPP @t9 @t81))) % 34.33/34.55 (define @t481 () (tptp.c_fequal @t17 @t2)) % 34.33/34.55 (define @t482 () (tptp.c_lessequals @t158 @t159 @t2)) % 34.33/34.55 (define @t483 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t110 @t2) @t160))) % 34.33/34.55 (define @t484 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 34.33/34.55 (define @t485 () (@list @t2 @t17 @t110 @t159 @t158)) % 34.33/34.55 (define @t486 () (@var "V_l" $$unsorted)) % 34.33/34.55 (define @t487 () (@list @t2 @t17 @t9)) % 34.33/34.55 (define @t488 () (tptp.hAPP @t37 @t134)) % 34.33/34.55 (define @t489 () (tptp.hAPP @t37 @t214)) % 34.33/34.55 (define @t490 () (tptp.hAPP @t489 @t13)) % 34.33/34.55 (define @t491 () (tptp.hAPP @t38 @t490)) % 34.33/34.55 (define @t492 () (tptp.hAPP (tptp.hAPP @t37 @t290) @t13)) % 34.33/34.55 (define @t493 () (tptp.hBOOL (tptp.c_in @t26 (tptp.hAPP @t489 @t9) @t2))) % 34.33/34.55 (define @t494 () (tptp.hAPP @t489 @t24)) % 34.33/34.55 (define @t495 () (tptp.hAPP @t393 @t26)) % 34.33/34.55 (define @t496 () (tptp.hAPP @t392 @t26)) % 34.33/34.55 (define @t497 () (= @t26 @t214)) % 34.33/34.55 (define @t498 () (tptp.c_Finite__Set_Ofinite @t39 @t2)) % 34.33/34.55 (define @t499 () (@var "V_xc" $$unsorted)) % 34.33/34.55 (define @t500 () (@var "V_xb" $$unsorted)) % 34.33/34.55 (define @t501 () (@var "V_f1" $$unsorted)) % 34.33/34.55 (define @t502 () (@var "V_fun2" $$unsorted)) % 34.33/34.55 (define @t503 () (@var "V_fun1" $$unsorted)) % 34.33/34.55 (define @t504 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t501 @t503) @t401) @t502)) % 34.33/34.55 (define @t505 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t503 @t401 @t502 @t22)) % 34.33/34.55 (define @t506 () (@list @t501 @t503 @t401 @t502 @t22 @t2)) % 34.33/34.55 (define @t507 () (@var "V_ts_H" $$unsorted)) % 34.33/34.55 (define @t508 () (tptp.tc_Hoare__Mirabelle_Otriple @t2)) % 34.33/34.55 (define @t509 () (tptp.tc_fun @t508 tptp.tc_bool)) % 34.33/34.55 (define @t510 () (@var "V_ts" $$unsorted)) % 34.33/34.55 (define @t511 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 @t510 @t2)) % 34.33/34.55 (define @t512 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 34.33/34.55 (define @t513 () (tptp.hAPP tptp.v_P tptp.v_R)) % 34.33/34.55 (define @t514 () (tptp.c_Orderings_Obot__class_Obot @t509)) % 34.33/34.55 (define @t515 () (tptp.c_Hoare__Mirabelle_Opeek__and @t122 @t214 @t2)) % 34.33/34.55 (define @t516 () (tptp.c_Set_Oinsert @t508)) % 34.33/34.55 (define @t517 () (tptp.c_Hoare__Mirabelle_Opeek__and @t122 (tptp.c_Fun_Ocomp tptp.c_Not @t214 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t2)) % 34.33/34.55 (define @t518 () (@list @t2 @t26)) % 34.33/34.55 (define @t519 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t55 @t2)) % 34.33/34.55 (define @t520 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 34.33/34.55 (define @t521 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t520 tptp.tc_bool))) % 34.33/34.55 (define @t522 () (tptp.c_Set_Oinsert @t520)) % 34.33/34.55 (define @t523 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t522 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t17 @t83 @t18 tptp.t_a)) @t521) tptp.t_a))) % 34.33/34.55 (define @t524 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t300 @t122 @t143 @t83)) % 34.33/34.55 (define @t525 () (@var "V_Z_H" $$unsorted)) % 34.33/34.55 (define @t526 () (tptp.hAPP @t17 @t525)) % 34.33/34.55 (define @t527 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t300 @t122 @t143 @t83 @t17 @t18)) % 34.33/34.55 (define @t528 () (tptp.hAPP @t18 @t525)) % 34.33/34.55 (define @t529 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t522 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t122 @t83 @t143 tptp.t_a)) @t521) tptp.t_a)) % 34.33/34.55 (define @t530 () (@list @t300 @t122 @t83 @t143 @t18 @t525 @t17)) % 34.33/34.55 (define @t531 () (forall @t530 (or @t529 (tptp.hBOOL (tptp.hAPP @t528 @t527)) (not (tptp.hBOOL (tptp.hAPP @t526 @t524))) @t523))) % 34.33/34.55 (define @t532 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t300 @t122 @t143 @t83)) % 34.33/34.55 (define @t533 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t300 @t122 @t143 @t83 @t17 @t18)) % 34.33/34.55 (define @t534 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t300 @t122 @t143 @t83)) % 34.33/34.55 (define @t535 () (@list @t300 @t122 @t83 @t143)) % 34.33/34.55 (define @t536 () (@list @t300 @t122 @t83 @t143 @t17 @t18)) % 34.33/34.55 (define @t537 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t300 @t122 @t143 @t83)) % 34.33/34.55 (define @t538 () (tptp.hAPP @t516 @t469)) % 34.33/34.55 (define @t539 () (@var "V_G_H" $$unsorted)) % 34.33/34.55 (define @t540 () (@var "V_fun2_H" $$unsorted)) % 34.33/34.55 (define @t541 () (@var "V_fun1_H" $$unsorted)) % 34.33/34.55 (define @t542 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t503 @t401 @t502 @t2) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t541 @t5 @t540 @t2)))) % 34.33/34.55 (define @t543 () (@list @t503 @t401 @t502 @t2 @t541 @t5 @t540)) % 34.33/34.55 (define @t544 () (= @t214 @t306)) % 34.33/34.55 (define @t545 () (= @t214 @t83)) % 34.33/34.55 (define @t546 () (not (= @t491 (tptp.hAPP @t442 (tptp.hAPP (tptp.hAPP @t37 @t306) @t13))))) % 34.33/34.55 (define @t547 () (= @t26 @t306)) % 34.33/34.55 (define @t548 () (= @t26 @t83)) % 34.33/34.55 (define @t549 () (tptp.hAPP @t37 @t110)) % 34.33/34.55 (define @t550 () (tptp.hAPP @t549 @t9)) % 34.33/34.55 (define @t551 () (tptp.hBOOL (tptp.hAPP @t550 @t17))) % 34.33/34.55 (define @t552 () (tptp.hAPP @t37 @t18)) % 34.33/34.55 (define @t553 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t522 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P_H tptp.v_c tptp.v_Q_H tptp.t_a)) @t521) tptp.t_a)) % 34.33/34.55 (define @t554 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.hAPP (tptp.hAPP @t522 (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.v_P tptp.v_c tptp.v_Q tptp.t_a)) @t521) tptp.t_a)) % 34.33/34.55 (define @t555 () (@var "V_sa" $$unsorted)) % 34.33/34.55 (define @t556 () (@var "V_s" $$unsorted)) % 34.33/34.55 (define @t557 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t556) @t555)))) % 34.33/34.55 (define @t558 () (@var "V_s_H" $$unsorted)) % 34.33/34.55 (define @t559 () (tptp.v_Z @t556 @t555 @t558)) % 34.33/34.55 (define @t560 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t556) @t558))) % 34.33/34.55 (define @t561 () (@list @t556 @t558 @t555)) % 34.33/34.55 (define @t562 () (@var "T_1" $$unsorted)) % 34.33/34.55 (define @t563 () (@var "T_2" $$unsorted)) % 34.33/34.55 (define @t564 () (tptp.tc_fun @t563 @t562)) % 34.33/34.55 (define @t565 () (@list @t563 @t562)) % 34.33/34.55 (define @t566 () (not (tptp.class_Lattices_Olattice @t562))) % 34.33/34.55 (define @t567 () (@var "V_X" $$unsorted)) % 34.33/34.55 (define @t568 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) % 34.33/34.55 (define @t569 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c tptp.v_P_H tptp.v_Q_H)) % 34.33/34.55 (define @t570 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 tptp.v_G tptp.v_P tptp.v_Q tptp.v_c)) % 34.33/34.55 (define @t571 () (@list @t570 @t569 @t568)) % 34.33/34.55 (define @t572 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t570) @t568))) % 34.33/34.55 (define @t573 () (or @t554 @t572)) % 34.33/34.55 (define @t574 () (@list true false)) % 34.33/34.55 (define @t575 () (not @t553)) % 34.33/34.55 (define @t576 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t570) @t569))) % 34.33/34.55 (define @t577 () (not @t576)) % 34.33/34.55 (define @t578 () (or @t554 @t577 @t575)) % 34.33/34.55 (define @t579 () (@list true false false)) % 34.33/34.55 (define @t580 () (not @t572)) % 34.33/34.55 (define @t581 () (tptp.v_Z @t570 @t568 @t569)) % 34.33/34.55 (define @t582 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H @t581) @t568))) % 34.33/34.55 (define @t583 () (or @t576 @t582 @t580)) % 34.33/34.55 (define @t584 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q_H @t581) @t569))) % 34.33/34.55 (define @t585 () (not @t584)) % 34.33/34.55 (define @t586 () (or @t576 @t585 @t580)) % 34.33/34.55 (define @t587 () (not @t582)) % 34.33/34.55 (define @t588 () (or @t554 @t584 @t587 @t575)) % 34.33/34.55 (define @t589 () (not @t588)) % 34.33/34.55 (assume @p1 (forall @t4 (= (tptp.hAPP (tptp.c_Set_Oimage @t3 @t2 @t2) @t1) @t1))) % 34.33/34.55 (assume @p2 (forall @t8 (not (= @t7 tptp.c_Com_Ocom_OSKIP)))) % 34.33/34.55 (assume @p3 (forall (@list @t2 @t17 @t18 @t9) (or @t20 (tptp.c_lessequals @t17 @t18 @t2) @t19 (not (tptp.c_lessequals @t17 @t16 @t2)) @t14 @t11))) % 34.33/34.55 (assume @p4 (forall (@list @t9 @t22 @t26 @t24 @t2 @t21) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 (tptp.c_COMBB @t28 @t24 @t23 @t23 @t2) @t2 @t23) (tptp.hAPP @t28 @t25)) (not (tptp.hBOOL (tptp.c_in @t21 @t9 @t2)))))) % 34.33/34.55 (assume @p5 (forall @t31 (or @t30 @t11))) % 34.33/34.55 (assume @p6 (forall (@list @t32 @t9 @t24 @t2 @t22) (or (tptp.c_Fun_Oinj__on @t32 @t29 @t2 @t22) @t34))) % 34.33/34.55 (assume @p7 (forall @t41 (or @t40 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t39 @t2) (tptp.hAPP @t36 @t35))))) % 34.33/34.55 (assume @p8 (forall @t47 (or (= @t46 @t29) @t43))) % 34.33/34.55 (assume @p9 (forall (@list @t24 @t26 @t9 @t2 @t22) (or (tptp.c_lessequals @t50 @t25 @t23) @t49))) % 34.33/34.55 (assume @p10 (forall (@list @t22 @t52 @t51 @t9 @t2) (or @t53 (tptp.c_lessequals (tptp.hAPP @t52 @t51) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 @t52 @t2 @t22) @t22) (not (tptp.hBOOL (tptp.c_in @t51 @t9 @t2)))))) % 34.33/34.55 (assume @p11 (forall @t54 (= (tptp.c_Finite__Set_Ofold1 @t32 @t9 @t2) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t32 @t9 @t2) @t2)))) % 34.33/34.55 (assume @p12 (forall @t62 (or @t61 @t59 @t57))) % 34.33/34.55 (assume @p13 (forall @t62 (or @t56 @t59 @t63))) % 34.33/34.55 (assume @p14 (forall @t77 (or (= (tptp.hAPP @t70 @t76) (tptp.hAPP (tptp.hAPP @t73 @t72) @t71)) @t69 @t67 @t65))) % 34.33/34.55 (assume @p15 (forall (@list @t24 @t22 @t32 @t2 @t9) (or (tptp.c_Finite__Set_Ofinite @t24 @t22) (not (tptp.c_lessequals @t24 @t72 @t23)) @t11))) % 34.33/34.55 (assume @p16 (forall (@list @t32 @t17 @t24 @t2 @t9 @t22) (or (tptp.hBOOL (tptp.c_in @t81 @t24 @t2)) @t80 (not (tptp.c_lessequals @t79 @t24 @t12))))) % 34.33/34.55 (assume @p17 (forall (@list @t83 @t22 @t2 @t9 @t17) (or (= (tptp.hAPP (tptp.c_Set_Oimage @t84 @t2 @t22) @t9) (tptp.hAPP (tptp.hAPP @t27 @t83) @t82)) @t59))) % 34.33/34.55 (assume @p18 (forall @t86 (or @t85 (= @t29 @t9)))) % 34.33/34.55 (assume @p19 (forall @t92 (or @t91 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t90) @t32) @t87) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22) @t89) @t88))))) % 34.33/34.55 (assume @p20 (forall (@list @t87 @t32 @t2 @t93 @t9 @t22) (or (tptp.c_Fun_Oinj__on @t87 (tptp.hAPP (tptp.c_Set_Oimage @t32 @t2 @t93) @t9) @t93 @t22) (not (tptp.c_Fun_Oinj__on @t94 @t9 @t2 @t22))))) % 34.33/34.55 (assume @p21 (forall @t102 (= (tptp.hAPP (tptp.hAPP @t74 @t101) @t9) (tptp.hAPP (tptp.hAPP @t99 @t98) @t96)))) % 34.33/34.55 (assume @p22 (forall @t106 (= @t105 (tptp.hAPP @t104 @t103)))) % 34.33/34.55 (assume @p23 (forall @t118 (or @t117 (= @t116 @t113)))) % 34.33/34.55 (assume @p24 (forall @t121 (or @t117 (= (tptp.hAPP (tptp.hAPP @t15 @t115) @t17) (tptp.hAPP (tptp.hAPP @t112 @t120) (tptp.hAPP (tptp.hAPP @t15 @t107) @t17)))))) % 34.33/34.55 (assume @p25 (forall (@list @t122 @t17 @t2 @t9) (or @t126 @t125))) % 34.33/34.55 (assume @p26 (forall @t128 (= (tptp.hAPP @t127 @t9) @t9))) % 34.33/34.55 (assume @p27 (forall @t131 (or @t130 (= (tptp.hAPP @t129 @t17) @t17)))) % 34.33/34.55 (assume @p28 (forall (@list @t32 @t2 @t26 @t9 @t22) (or @t136 @t135 @t34))) % 34.33/34.55 (assume @p29 (forall (@list @t22 @t2 @t9 @t24) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t82 @t137 @t22 @t12) @t13))) % 34.33/34.55 (assume @p30 (forall (@list @t9 @t22 @t24 @t2) (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t138 @t12) @t9))) % 34.33/34.55 (assume @p31 (forall (@list @t17 @t139 @t2) (or @t141 (not @t140)))) % 34.33/34.55 (assume @p32 (forall (@list @t139 @t17 @t2) (or @t140 (not @t141)))) % 34.33/34.55 (assume @p33 (forall (@list @t122 @t143 @t22 @t2 @t93 @t142) (= (tptp.hAPP (tptp.c_COMBB @t122 @t143 @t22 @t2 @t93) @t142) (tptp.hAPP @t122 @t144)))) % 34.33/34.55 (assume @p34 (forall @t146 (= (tptp.c_COMBC @t122 @t143 @t142 @t22 @t93 @t2) (tptp.hAPP @t145 @t143)))) % 34.33/34.55 (assume @p35 (forall (@list @t2 @t122) (= (tptp.hAPP @t3 @t122) @t122))) % 34.33/34.55 (assume @p36 (forall (@list @t122 @t2 @t22 @t143) (= (tptp.hAPP (tptp.c_COMBK @t122 @t2 @t22) @t143) @t122))) % 34.33/34.55 (assume @p37 (forall @t146 (= (tptp.c_COMBS @t122 @t143 @t142 @t22 @t93 @t2) (tptp.hAPP @t145 @t144)))) % 34.33/34.55 (assume @p38 (forall @t154 (or (not @t153) @t150 @t34 @t148))) % 34.33/34.55 (assume @p39 (forall @t154 (or @t153 @t155))) % 34.33/34.55 (assume @p40 (forall @t31 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t24 @t12) @t29))) % 34.33/34.55 (assume @p41 (forall (@list @t2 @t18 @t110 @t17) (or @t157 (not (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t110 @t2) @t156)) (= @t18 @t110)))) % 34.33/34.55 (assume @p42 (forall (@list @t2 @t17 @t159 @t158) (or @t157 (not (= @t156 @t160)) (= @t159 @t158)))) % 34.33/34.55 (assume @p43 (forall (@list @t2 @t52 @t161) (or @t165 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t52 @t2) (tptp.c_Finite__Set_Olinorder__class_OMax @t161 @t2) @t2) @t164 @t163 @t162))) % 34.33/34.55 (assume @p44 (forall @t172 (or @t171 @t168))) % 34.33/34.55 (assume @p45 (forall (@list @t167 @t166 @t2 @t17) (or @t168 @t171))) % 34.33/34.55 (assume @p46 (forall @t178 (or @t165 @t177 @t174))) % 34.33/34.55 (assume @p47 (forall @t178 (or @t165 @t173 (not @t177)))) % 34.33/34.55 (assume @p48 (forall @t181 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t79 @t180 @t12) (tptp.hAPP @t78 @t179) @t12))) % 34.33/34.55 (assume @p49 (forall @t106 (= @t183 (tptp.hAPP @t100 @t182)))) % 34.33/34.55 (assume @p50 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t99 @t147) @t64) @t183))) % 34.33/34.55 (assume @p51 (forall @t118 (or @t130 @t186))) % 34.33/34.55 (assume @p52 (forall @t118 (or @t130 @t188))) % 34.33/34.55 (assume @p53 (forall @t118 (or @t189 @t188))) % 34.33/34.55 (assume @p54 (forall @t118 (or @t189 @t186))) % 34.33/34.55 (assume @p55 (forall @t193 (or @t192 @t191))) % 34.33/34.55 (assume @p56 (forall @t195 (or @t194 @t191))) % 34.33/34.55 (assume @p57 (forall @t199 (or @t198 @t197 @t59 @t196 @t34))) % 34.33/34.55 (assume @p58 (forall @t199 (or @t198 @t197 @t59 @t34 @t196))) % 34.33/34.55 (assume @p59 (forall (@list @t32 @t17 @t18 @t9 @t2 @t22) (or (not (= @t81 (tptp.hAPP @t32 @t18))) @t19 @t59 @t34 (= @t17 @t18)))) % 34.33/34.55 (assume @p60 (forall @t199 (or @t198 @t34 @t196 @t197 @t59))) % 34.33/34.55 (assume @p61 (forall @t203 (= @t202 @t201))) % 34.33/34.55 (assume @p62 (forall @t86 (or (= @t76 @t9) @t205))) % 34.33/34.55 (assume @p63 (forall @t86 (or (= @t76 @t24) @t206))) % 34.33/34.55 (assume @p64 (forall @t178 (or @t20 @t207 @t174))) % 34.33/34.55 (assume @p65 (forall @t178 (or @t20 (not @t207) @t173))) % 34.33/34.55 (assume @p66 (forall @t178 (or @t20 (= @t111 @t110) @t209))) % 34.33/34.55 (assume @p67 (forall @t106 (or @t210 @t69 @t67))) % 34.33/34.55 (assume @p68 (forall (@list @t24 @t2 @t9) (tptp.c_lessequals @t24 @t147 @t12))) % 34.33/34.55 (assume @p69 (forall @t211 (tptp.c_lessequals @t9 @t147 @t12))) % 34.33/34.55 (assume @p70 (forall @t220 (or @t130 @t219 @t216 @t213))) % 34.33/34.55 (assume @p71 (forall @t178 (or @t130 @t221))) % 34.33/34.55 (assume @p72 (forall @t223 (or @t130 @t222))) % 34.33/34.55 (assume @p73 (forall @t121 (or @t130 (tptp.c_lessequals @t115 @t17 @t2) (not @t224) @t209))) % 34.33/34.55 (assume @p74 (forall @t118 (or @t130 @t229 @t228 @t226))) % 34.33/34.55 (assume @p75 (forall @t223 (or @t189 @t222))) % 34.33/34.55 (assume @p76 (forall @t178 (or @t189 @t221))) % 34.33/34.55 (assume @p77 (forall @t86 (= @t76 @t98))) % 34.33/34.55 (assume @p78 (forall @t178 (or @t20 @t230))) % 34.33/34.55 (assume @p79 (forall @t178 (or @t189 @t230))) % 34.33/34.55 (assume @p80 (forall @t86 (or (= @t231 @t24) @t205))) % 34.33/34.55 (assume @p81 (forall @t178 (or @t165 (not (= @t176 @t175)) @t196))) % 34.33/34.55 (assume @p82 (forall @t235 (not (= tptp.c_Com_Ocom_OSKIP @t234)))) % 34.33/34.55 (assume @p83 (forall @t118 (or @t189 (tptp.c_lessequals @t113 @t116 @t2)))) % 34.33/34.55 (assume @p84 (forall @t31 (tptp.c_lessequals @t29 @t9 @t12))) % 34.33/34.55 (assume @p85 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t104 @t239)) @t96) (tptp.hAPP (tptp.hAPP @t74 (tptp.hAPP @t238 @t101)) @t237)))) % 34.33/34.55 (assume @p86 (forall (@list @t83 @t2 @t22) (= (tptp.hAPP @t240 @t82) @t13))) % 34.33/34.55 (assume @p87 (forall (@list @t26 @t122 @t2) (or @t242 (not @t241)))) % 34.33/34.55 (assume @p88 (forall (@list @t122 @t26 @t2) (or @t241 (not @t242)))) % 34.33/34.55 (assume @p89 (forall (@list @t83 @t9 @t24 @t2) (or @t244 @t192 @t243))) % 34.33/34.55 (assume @p90 (forall @t247 (or @t42 @t246))) % 34.33/34.55 (assume @p91 (forall (@list @t22 @t9 @t52 @t2) (or @t53 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 (tptp.c_COMBK @t52 @t22 @t2) @t2 @t22) @t52) @t14))) % 34.33/34.55 (assume @p92 (forall (@list @t22 @t32 @t17 @t2 @t9) (or (= (tptp.hAPP (tptp.hAPP @t27 @t81) @t72) @t72) @t59))) % 34.33/34.55 (assume @p93 (forall @t62 (or @t61 @t205 @t58))) % 34.33/34.55 (assume @p94 (forall @t248 (or @t204 @t58 @t63))) % 34.33/34.55 (assume @p95 (forall @t248 (or @t204 @t63 @t58))) % 34.33/34.55 (assume @p96 (forall @t181 (or (tptp.c_lessequals @t251 @t250 @t23) @t205))) % 34.33/34.55 (assume @p97 (forall @t254 (or (= @t253 @t76) @t48))) % 34.33/34.55 (assume @p98 (forall @t257 (or (= @t256 @t239) @t255))) % 34.33/34.55 (assume @p99 (forall (@list @t214 @t9 @t24 @t22 @t2 @t17) (or (tptp.hBOOL (tptp.c_in @t214 @t259 @t2)) (not (tptp.hBOOL (tptp.c_in @t214 @t258 @t2))) @t80))) % 34.33/34.55 (assume @p100 (forall (@list @t214 @t9 @t24 @t2 @t22 @t26) (or (tptp.hBOOL (tptp.c_in @t214 @t25 @t22)) (not (tptp.hBOOL (tptp.c_in @t214 @t50 @t22))) @t49))) % 34.33/34.55 (assume @p101 (forall (@list @t2 @t24 @t9) (= (tptp.hAPP (tptp.hAPP @t99 @t151) @t9) @t260))) % 34.33/34.55 (assume @p102 (forall @t86 (= @t231 @t147))) % 34.33/34.55 (assume @p103 (forall (@list @t22 @t9 @t24) (or (not (tptp.class_HOL_Ominus @t22)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t9 @t24 @t90) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t9 tptp.v_x) (tptp.hAPP @t24 tptp.v_x) @t22))))) % 34.33/34.55 (assume @p104 (forall @t264 (= (tptp.hAPP @t261 @t179) (tptp.c_HOL_Ominus__class_Ominus @t263 @t262 @t12)))) % 34.33/34.55 (assume @p105 (forall (@list @t265 @t2 @t17 @t9) (or (= (tptp.c_Finite__Set_Ofold1 @t265 @t45 @t2) (tptp.hAPP (tptp.hAPP @t265 @t17) @t267)) @t58 @t11 @t14 @t266))) % 34.33/34.55 (assume @p106 (forall @t268 (tptp.c_lessequals (tptp.hAPP @t78 @t251) @t9 @t12))) % 34.33/34.55 (assume @p107 (forall (@list @t122 @t2) (= @t123 @t122))) % 34.33/34.55 (assume @p108 (forall @t269 (or @t130 (tptp.c_Finite__Set_Ofun__left__comm__idem @t112 @t2 @t2)))) % 34.33/34.55 (assume @p109 (forall @t276 (or @t275 @t271))) % 34.33/34.55 (assume @p110 (forall @t276 (or @t275 @t277))) % 34.33/34.55 (assume @p111 (forall (@list @t273 @t270 @t6 @t5) (not (= @t274 @t7)))) % 34.33/34.55 (assume @p112 (forall @t41 (or @t40 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t39 @t2) (tptp.hAPP @t217 @t278))))) % 34.33/34.55 (assume @p113 (forall (@list @t273 @t270 @t6 @t233 @t232) (not (= @t274 @t234)))) % 34.33/34.55 (assume @p114 (forall @t211 (or @t10 @t280 @t279))) % 34.33/34.55 (assume @p115 (forall @t31 (or @t30 @t11 @t279))) % 34.33/34.55 (assume @p116 (forall @t128 (tptp.c_Fun_Oinj__on @t3 @t9 @t2 @t2))) % 34.33/34.55 (assume @p117 (forall (@list @t24 @t17 @t22 @t9 @t2) (or (tptp.c_Finite__Set_Ofinite @t258 @t22) @t59 (not (tptp.c_Finite__Set_Ofinite @t25 @t22)) @t11))) % 34.33/34.55 (assume @p118 (forall (@list @t9 @t24 @t22 @t2 @t17) (or (not (= @t259 @t13)) @t281 @t80))) % 34.33/34.55 (assume @p119 (forall (@list @t282 @t273 @t270 @t6 @t5) (not (= @t283 @t7)))) % 34.33/34.55 (assume @p120 (forall @t195 (or @t194 @t284))) % 34.33/34.55 (assume @p121 (forall @t264 (or (not (= @t72 @t71)) @t155 @t285))) % 34.33/34.55 (assume @p122 (forall @t193 (or @t286 @t284))) % 34.33/34.55 (assume @p123 (forall (@list @t9 @t17 @t24 @t2 @t287 @t22) (or (tptp.c_lessequals @t289 @t24 @t12) (not (tptp.hBOOL (tptp.c_in @t17 @t287 @t22))) (not (tptp.c_lessequals @t288 @t24 @t12))))) % 34.33/34.55 (assume @p124 (forall (@list @t83 @t22 @t93 @t32) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t83 @t22 @t93) @t32 @t93 @t22 tptp.t_a) tptp.v_x) @t83))) % 34.33/34.55 (assume @p125 (forall (@list @t6 @t233 @t232 @t273 @t270) (not (= @t234 @t274)))) % 34.33/34.55 (assume @p126 (forall (@list @t22 @t9 @t290 @t287 @t2) (or (= (tptp.hAPP (tptp.hAPP @t292 (tptp.hAPP @t9 @t290)) @t291) @t291) (not (tptp.hBOOL (tptp.c_in @t290 @t287 @t2)))))) % 34.33/34.55 (assume @p127 (forall @t294 (or @t293 @t271))) % 34.33/34.55 (assume @p128 (forall @t294 (or @t293 @t277))) % 34.33/34.55 (assume @p129 (forall @t294 (or @t293 @t295))) % 34.33/34.55 (assume @p130 (forall @t181 (tptp.c_lessequals (tptp.hAPP @t78 @t296) (tptp.hAPP (tptp.hAPP @t74 @t79) @t180) @t12))) % 34.33/34.55 (assume @p131 (forall @t304 (or @t303 @t302 @t299))) % 34.33/34.55 (assume @p132 (forall @t311 (or @t310 @t309 (not @t307) (not @t305)))) % 34.33/34.55 (assume @p133 (forall (@list @t2 @t214 @t306 @t26 @t83) (or @t310 @t307 @t314 @t312))) % 34.33/34.55 (assume @p134 (forall (@list @t2 @t83 @t26 @t214 @t306) (or @t310 @t305 @t314 @t312))) % 34.33/34.55 (assume @p135 (forall @t106 (or (not @t316) @t315))) % 34.33/34.55 (assume @p136 (forall @t106 (or @t316 @t317))) % 34.33/34.55 (assume @p137 (forall (@list @t32 @t87 @t22 @t2 @t93 @t17) (= @t320 @t319))) % 34.33/34.55 (assume @p138 (forall (@list @t26 @t214 @t321 @t93 @t22 @t2) (= @t323 (tptp.hAPP @t322 @t321)))) % 34.33/34.55 (assume @p139 (forall @t328 (or (= (tptp.hAPP (tptp.hAPP @t265 @t327) @t83) @t326) @t266))) % 34.33/34.55 (assume @p140 (forall @t328 (or (= @t326 (tptp.hAPP @t324 (tptp.hAPP @t325 @t83))) @t266))) % 34.33/34.55 (assume @p141 (forall (@list @t265 @t26 @t214 @t2) (or (= @t327 (tptp.hAPP @t324 @t26)) @t266))) % 34.33/34.55 (assume @p142 (forall @t311 (or @t310 @t309 @t313))) % 34.33/34.55 (assume @p143 (forall (@list @t24 @t17 @t9 @t2) (or @t331 @t330 (not @t329)))) % 34.33/34.55 (assume @p144 (forall @t333 (or @t329 @t332))) % 34.33/34.55 (assume @p145 (forall @t333 (or @t329 @t334))) % 34.33/34.55 (assume @p146 (forall (@list @t32 @t2 @t9) (or (= @t335 @t9) (not @t336) (not (tptp.c_lessequals @t335 @t9 @t12)) @t11))) % 34.33/34.55 (assume @p147 (forall @t193 (or @t192 @t194 (not @t337)))) % 34.33/34.55 (assume @p148 (forall @t4 (= (tptp.hAPP (tptp.c_Set_Ovimage @t3 @t2 @t2) @t1) @t1))) % 34.33/34.55 (assume @p149 (forall @t118 (or @t189 @t340))) % 34.33/34.55 (assume @p150 (forall @t118 (or @t189 @t341))) % 34.33/34.55 (assume @p151 (forall @t118 (or @t20 @t341))) % 34.33/34.55 (assume @p152 (forall @t118 (or @t20 @t340))) % 34.33/34.55 (assume @p153 (forall @t106 (= (tptp.hAPP (tptp.hAPP @t74 @t76) @t64) @t342))) % 34.33/34.55 (assume @p154 (forall @t106 (= @t342 (tptp.hAPP @t97 @t103)))) % 34.33/34.55 (assume @p155 (forall (@list @t9 @t24 @t32 @t93 @t2 @t22) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 (tptp.c_COMBB @t24 @t32 @t93 @t12 @t22) @t22 @t12) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.c_Set_Oimage @t32 @t22 @t93) @t9) @t24 @t93 @t12)))) % 34.33/34.55 (assume @p156 (forall (@list @t2 @t9 @t24 @t22 @t17) (or (not (= @t13 @t259)) @t281 @t80))) % 34.33/34.55 (assume @p157 (forall (@list @t297 @t2 @t300) (or @t298 @t343))) % 34.33/34.55 (assume @p158 (forall (@list @t300 @t2 @t297) (or @t301 @t343))) % 34.33/34.55 (assume @p159 (forall (@list @t2 @t22 @t9 @t24) (= (tptp.hAPP (tptp.hAPP @t99 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t82 @t9 @t22 @t12)) @t24) @t24))) % 34.33/34.55 (assume @p160 (forall (@list @t2 @t9 @t22 @t24) (= (tptp.hAPP @t127 @t138) @t9))) % 34.33/34.55 (assume @p161 (forall @t8 (not (= tptp.c_Com_Ocom_OSKIP @t7)))) % 34.33/34.55 (assume @p162 (forall (@list @t2 @t64 @t9 @t24) (= (tptp.hAPP @t95 @t29) (tptp.c_HOL_Ominus__class_Ominus @t96 (tptp.hAPP @t95 @t24) @t12)))) % 34.33/34.55 (assume @p163 (forall @t106 (= (tptp.hAPP @t345 @t64) @t344))) % 34.33/34.55 (assume @p164 (forall (@list @t9 @t24 @t2 @t64 @t346) (or (tptp.c_lessequals @t29 (tptp.c_HOL_Ominus__class_Ominus @t64 @t346 @t12) @t12) (not (tptp.c_lessequals @t346 @t24 @t12)) @t67))) % 34.33/34.55 (assume @p165 (forall @t247 (or @t43 @t59 @t85))) % 34.33/34.55 (assume @p166 (forall @t118 (or @t189 (tptp.c_lessequals @t348 @t347 @t2)))) % 34.33/34.55 (assume @p167 (forall (@list @t2 @t9 @t64 @t24) (= @t344 (tptp.c_HOL_Ominus__class_Ominus @t103 @t24 @t12)))) % 34.33/34.55 (assume @p168 (forall @t178 (or @t189 (= (tptp.hAPP @t129 @t111) @t17)))) % 34.33/34.55 (assume @p169 (forall @t31 (or @t285 @t206 @t205))) % 34.33/34.55 (assume @p170 (forall @t178 (or @t310 @t196 @t209 @t174))) % 34.33/34.55 (assume @p171 (forall @t178 (or @t310 @t196 @t174 @t209))) % 34.33/34.55 (assume @p172 (forall @t178 (or @t189 (= (tptp.hAPP @t108 @t185) @t17)))) % 34.33/34.55 (assume @p173 (forall @t86 (= (tptp.hAPP @t349 @t76) @t9))) % 34.33/34.55 (assume @p174 (forall @t178 (or @t130 (= @t185 @t17) @t209))) % 34.33/34.55 (assume @p175 (forall @t178 (or @t130 (not @t350) @t173))) % 34.33/34.55 (assume @p176 (forall @t178 (or @t130 @t350 @t174))) % 34.33/34.55 (assume @p177 (forall @t86 (or @t351 @t205))) % 34.33/34.55 (assume @p178 (forall @t86 (or (= @t147 @t9) @t206))) % 34.33/34.55 (assume @p179 (forall @t86 (or (not @t351) @t204))) % 34.33/34.55 (assume @p180 (forall (@list @t352 @t2 @t22 @t297) (or (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.c_Set_Oimage @t352 @t2 @t22) @t297) @t22) @t299))) % 34.33/34.55 (assume @p181 (forall @t203 (or (= @t355 @t354) @t353))) % 34.33/34.55 (assume @p182 (= (tptp.hAPP @t356 tptp.v_x) (tptp.c_in tptp.v_x @t356 tptp.t_a))) % 34.33/34.55 (assume @p183 (forall (@list @t2 @t161 @t52) (or @t165 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t161 @t2) (tptp.c_Finite__Set_Olinorder__class_OMin @t52 @t2) @t2) @t164 @t163 @t162))) % 34.33/34.55 (assume @p184 (forall @t361 (or @t360 @t358 @t168))) % 34.33/34.55 (assume @p185 (forall @t361 (or @t360 (not @t362) @t168))) % 34.33/34.55 (assume @p186 (forall @t363 (or @t362 @t359 @t168))) % 34.33/34.55 (assume @p187 (forall @t363 (or @t362 @t365 @t168))) % 34.33/34.55 (assume @p188 (forall @t366 (or @t357 @t365 @t168))) % 34.33/34.55 (assume @p189 (forall (@list @t167 @t17 @t110 @t166 @t2) (or @t367 @t358 @t168))) % 34.33/34.55 (assume @p190 (forall @t361 (or @t359 @t362 @t168))) % 34.33/34.55 (assume @p191 (forall @t172 (or @t170 @t168 @t368))) % 34.33/34.55 (assume @p192 (forall (@list @t167 @t17 @t166 @t2) (or (not @t368) @t168 @t171))) % 34.33/34.55 (assume @p193 (forall (@list @t22 @t26 @t9 @t24 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP @t28 @t9) @t24 @t22 @t12) (tptp.hAPP (tptp.hAPP @t99 @t50) @t259)))) % 34.33/34.55 (assume @p194 (forall (@list @t83 @t22 @t2 @t9) (or (= (tptp.hAPP (tptp.c_Set_Ovimage @t84 @t2 @t22) @t9) @t13) (tptp.hBOOL (tptp.c_in @t83 @t9 @t22))))) % 34.33/34.55 (assume @p195 (forall (@list @t2 @t9 @t26) (or @t20 (tptp.c_lessequals @t16 @t26 @t2) @t49 @t11))) % 34.33/34.55 (assume @p196 (forall @t369 (or @t40 (tptp.c_lessequals @t35 @t17 @t2) @t59))) % 34.33/34.55 (assume @p197 (forall @t371 (or @t310 @t370 @t313))) % 34.33/34.55 (assume @p198 (forall @t371 (or @t310 (not @t370) @t314))) % 34.33/34.55 (assume @p199 (forall @t257 (or (= @t256 (tptp.hAPP @t38 @t239)) (not @t255)))) % 34.33/34.55 (assume @p200 (forall @t254 (or (= @t253 @t372) @t49))) % 34.33/34.55 (assume @p201 (forall (@list @t64 @t24 @t2 @t9) (or @t375 @t374))) % 34.33/34.55 (assume @p202 (forall (@list @t64 @t9 @t2 @t24) (or @t315 @t374))) % 34.33/34.55 (assume @p203 (forall @t380 (or @t20 @t379 @t378))) % 34.33/34.55 (assume @p204 (forall (@list @t2 @t17 @t214 @t26) (or @t20 @t381 @t378))) % 34.33/34.55 (assume @p205 (forall @t220 (or @t20 @t382 @t213))) % 34.33/34.55 (assume @p206 (forall @t220 (or @t20 @t382 @t216))) % 34.33/34.55 (assume @p207 (forall @t118 (or @t20 @t173 @t384))) % 34.33/34.55 (assume @p208 (forall @t385 (or @t20 @t225 @t384))) % 34.33/34.55 (assume @p209 (forall @t106 (= (tptp.c_HOL_Ominus__class_Ominus @t147 @t64 @t12) (tptp.hAPP (tptp.hAPP @t99 @t387) @t386)))) % 34.33/34.55 (assume @p210 (forall (@list @t87 @t32 @t93 @t22 @t2 @t17) (= (tptp.hAPP (tptp.c_Set_Ovimage @t94 @t2 @t22) @t17) (tptp.hAPP (tptp.c_Set_Ovimage @t32 @t2 @t93) (tptp.hAPP (tptp.c_Set_Ovimage @t87 @t93 @t22) @t17))))) % 34.33/34.55 (assume @p211 (forall (@list @t26 @t32 @t2 @t22 @t24) (or @t389 (not @t388)))) % 34.33/34.55 (assume @p212 (forall (@list @t26 @t32 @t22 @t2 @t9) (or (tptp.hBOOL (tptp.c_in @t26 @t251 @t22)) (not (tptp.hBOOL (tptp.c_in @t134 @t9 @t2)))))) % 34.33/34.55 (assume @p213 (forall (@list @t26 @t32 @t22 @t2 @t24) (or (tptp.hBOOL (tptp.c_in @t26 @t250 @t22)) (not (tptp.hBOOL (tptp.c_in @t134 @t24 @t2)))))) % 34.33/34.55 (assume @p214 (forall (@list @t32 @t26 @t24 @t22 @t2) (or @t388 (not @t389)))) % 34.33/34.55 (assume @p215 (forall (@list @t32 @t26 @t9 @t22 @t2) (or (tptp.hBOOL (tptp.c_in @t134 @t9 @t22)) (not (tptp.hBOOL (tptp.c_in @t26 @t263 @t2)))))) % 34.33/34.55 (assume @p216 (forall (@list @t167 @t395 @t9 @t17 @t2 @t394 @t166 @t393 @t392 @t391 @t390) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t167 @t397) @t17)) @t59 @t396))) % 34.33/34.55 (assume @p217 (forall (@list @t167 @t17 @t394 @t9 @t2 @t395 @t166 @t393 @t392 @t391 @t390) (or (tptp.hBOOL (tptp.hAPP @t364 @t398)) @t59 @t396))) % 34.33/34.55 (assume @p218 (forall @t86 (= @t147 @t260))) % 34.33/34.55 (assume @p219 (forall @t178 (or @t130 @t400))) % 34.33/34.55 (assume @p220 (forall @t178 (or @t189 @t400))) % 34.33/34.55 (assume @p221 (forall @t403 (or @t402 @t295))) % 34.33/34.55 (assume @p222 (forall @t403 (or @t402 @t404))) % 34.33/34.55 (assume @p223 (forall (@list @t2 @t24 @t287 @t9 @t22) (= (tptp.hAPP @t97 @t288) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t287 (tptp.c_COMBB @t97 @t9 @t12 @t12 @t22) @t22 @t12)))) % 34.33/34.55 (assume @p224 (forall @t405 (= @t201 @t202))) % 34.33/34.55 (assume @p225 (forall @t86 (= (tptp.hAPP @t127 @t147) @t147))) % 34.33/34.55 (assume @p226 (forall @t178 (or @t130 @t406))) % 34.33/34.55 (assume @p227 (forall @t178 (or @t189 @t406))) % 34.33/34.55 (assume @p228 (forall (@list @t87 @t32 @t22 @t93 @t2 @t9) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t87 @t32 @t22 @t93 @t2) @t9 @t2 @t93) (not (tptp.c_Fun_Oinj__on @t87 @t72 @t22 @t93)) @t34))) % 34.33/34.55 (assume @p229 (forall @t235 (not (= @t234 tptp.c_Com_Ocom_OSKIP)))) % 34.33/34.55 (assume @p230 (forall (@list @t9 @t24 @t2 @t22 @t214 @t17) (or @t407 (not (tptp.hBOOL (tptp.hAPP @t258 @t214))) @t59))) % 34.33/34.55 (assume @p231 (forall (@list @t9 @t24 @t2 @t22 @t214 @t26) (or @t407 (not (tptp.hBOOL (tptp.hAPP @t50 @t214))) @t49))) % 34.33/34.55 (assume @p232 (forall @t86 (= (tptp.hAPP @t75 @t151) @t13))) % 34.33/34.55 (assume @p233 (forall (@list @t6 @t5 @t282 @t273 @t270) (not (= @t7 @t283)))) % 34.33/34.55 (assume @p234 (forall (@list @t2 @t9 @t24 @t265) (or @t85 @t408 @t279 @t14 @t11 @t266 (= (tptp.c_Finite__Set_Ofold1 @t265 @t147 @t2) (tptp.hAPP (tptp.hAPP @t265 @t267) (tptp.c_Finite__Set_Ofold1 @t265 @t24 @t2)))))) % 34.33/34.55 (assume @p235 (forall @t128 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t2)) @t10))) % 34.33/34.55 (assume @p236 (forall (@list @t17 @t9 @t2 @t122) (or @t58 @t125))) % 34.33/34.55 (assume @p237 (forall @t264 (= (tptp.hAPP @t261 @t409) (tptp.hAPP (tptp.hAPP @t99 @t263) @t262)))) % 34.33/34.55 (assume @p238 (forall (@list @t32 @t26 @t2 @t22 @t9) (or (not @t135) @t410))) % 34.33/34.55 (assume @p239 (forall @t411 (or @t196 @t359 @t367 @t168))) % 34.33/34.55 (assume @p240 (forall (@list @t17 @t110 @t167 @t166 @t2) (or @t196 @t367 @t359 @t168))) % 34.33/34.55 (assume @p241 (forall @t47 (or (= @t46 (tptp.hAPP @t44 @t29)) @t42))) % 34.33/34.55 (assume @p242 (forall (@list @t24 @t17 @t2 @t9) (or @t331 @t413))) % 34.33/34.55 (assume @p243 (forall (@list @t9 @t17 @t2 @t24) (or @t330 @t413))) % 34.33/34.55 (assume @p244 (forall @t54 (or @t336 (not (tptp.c_lessequals @t9 @t335 @t12)) @t11))) % 34.33/34.55 (assume @p245 (forall (@list @t32 @t24 @t2 @t22 @t9) (or @t149 @t155))) % 34.33/34.55 (assume @p246 (forall @t414 (or @t33 @t155))) % 34.33/34.55 (assume @p247 (forall (@list @t17 @t9 @t415 @t32 @t2) (or (not (tptp.hBOOL (tptp.c_in @t17 @t9 @t415))) (tptp.hBOOL (tptp.c_in @t81 (tptp.hAPP (tptp.c_Set_Oimage @t32 @t415 @t2) @t9) @t2))))) % 34.33/34.55 (assume @p248 (forall @t417 (or @t80 @t416))) % 34.33/34.55 (assume @p249 (forall (@list @t32 @t17 @t22 @t2 @t9) (or @t416 @t80))) % 34.33/34.55 (assume @p250 (forall (@list @t32 @t17 @t2 @t22 @t9) (or (tptp.hBOOL (tptp.c_in @t81 @t72 @t22)) @t59))) % 34.33/34.55 (assume @p251 (forall (@list @t9 @t24 @t2 @t64) (or @t419 (not @t418)))) % 34.33/34.55 (assume @p252 (forall @t420 (or @t418 (not @t419)))) % 34.33/34.55 (assume @p253 (forall @t264 (= (tptp.hAPP @t261 @t296) (tptp.hAPP (tptp.hAPP @t74 @t263) @t262)))) % 34.33/34.55 (assume @p254 (forall @t269 (or @t20 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t2 @t2)))) % 34.33/34.55 (assume @p255 (forall @t304 (or @t421 @t302))) % 34.33/34.55 (assume @p256 (forall @t304 (or @t421 @t299))) % 34.33/34.55 (assume @p257 (forall (@list @t22 @t32 @t17 @t87 @t2) (or (not (tptp.class_HOL_Oord @t22)) (tptp.c_lessequals @t81 @t318 @t22) (not (tptp.c_lessequals @t32 @t87 (tptp.tc_fun @t2 @t22)))))) % 34.33/34.55 (assume @p258 (forall @t131 (or @t423 (= (tptp.hAPP (tptp.hAPP @t112 @t422) @t17) @t17)))) % 34.33/34.55 (assume @p259 (forall @t131 (or @t423 (= (tptp.hAPP @t129 @t422) @t17)))) % 34.33/34.55 (assume @p260 (forall @t131 (or @t423 (= (tptp.hAPP (tptp.hAPP @t15 @t422) @t17) @t422)))) % 34.33/34.55 (assume @p261 (forall @t131 (or @t423 (= (tptp.hAPP @t108 @t422) @t422)))) % 34.33/34.55 (assume @p262 (forall @t131 (or (not (tptp.class_Orderings_Obot @t2)) (tptp.c_lessequals @t422 @t17 @t2)))) % 34.33/34.55 (assume @p263 (forall @t86 (or @t423 @t424 (= @t9 @t422)))) % 34.33/34.55 (assume @p264 (forall @t86 (or @t423 @t424 (= @t24 @t422)))) % 34.33/34.55 (assume @p265 (forall @t425 (= (tptp.hAPP @t261 @t82) @t13))) % 34.33/34.55 (assume @p266 (forall @t269 (= (tptp.hAPP @t426 @t13) @t13))) % 34.33/34.55 (assume @p267 (forall @t268 (or (not (= @t79 @t13)) @t427))) % 34.33/34.55 (assume @p268 (forall (@list @t395 @t2 @t390 @t394 @t167 @t166 @t393 @t392 @t391) (or (= (tptp.hAPP @t395 @t13) @t390) @t396))) % 34.33/34.55 (assume @p269 (forall (@list @t394 @t2 @t391 @t395 @t167 @t166 @t393 @t392 @t390) (or (= (tptp.hAPP @t394 @t13) @t391) @t396))) % 34.33/34.55 (assume @p270 (forall (@list @t2 @t122 @t17) (or (not (= @t13 @t123)) @t428))) % 34.33/34.55 (assume @p271 (forall @t430 @t429)) % 34.33/34.55 (assume @p272 (forall @t431 (or @t126 @t429))) % 34.33/34.55 (assume @p273 (forall (@list @t83 @t2) (not (tptp.hBOOL (tptp.c_in @t83 @t13 @t2))))) % 34.33/34.55 (assume @p274 (forall @t432 (not (tptp.hBOOL (tptp.c_in @t26 @t13 @t2))))) % 34.33/34.55 (assume @p275 (forall @t269 (tptp.c_lessequals @t13 @t13 @t12))) % 34.33/34.55 (assume @p276 (forall @t433 (or @t14 (not (tptp.c_lessequals @t9 @t13 @t12))))) % 34.33/34.55 (assume @p277 (forall (@list @t122 @t2 @t17) (or (not (= @t123 @t13)) @t428))) % 34.33/34.55 (assume @p278 (forall @t434 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t32 @t13 @t2) @t17))))) % 34.33/34.55 (assume @p279 (forall @t128 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t9 @t12) @t13))) % 34.33/34.55 (assume @p280 (forall @t128 (= (tptp.hAPP @t127 @t13) @t9))) % 34.33/34.55 (assume @p281 (forall @t435 (= (tptp.hAPP @t426 @t24) @t24))) % 34.33/34.55 (assume @p282 (forall @t433 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t9 @t12) @t13))) % 34.33/34.55 (assume @p283 (forall @t433 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t13 @t12) @t9))) % 34.33/34.55 (assume @p284 (forall @t269 (tptp.c_Finite__Set_Ofinite @t13 @t2))) % 34.33/34.55 (assume @p285 (forall @t128 (= (tptp.hAPP @t75 @t13) @t13))) % 34.33/34.55 (assume @p286 (forall @t435 (= (tptp.hAPP (tptp.hAPP @t74 @t13) @t24) @t13))) % 34.33/34.55 (assume @p287 (forall @t128 (tptp.c_lessequals @t13 @t9 @t12))) % 34.33/34.55 (assume @p288 (forall (@list @t2 @t32 @t22 @t9) (or (not (= @t13 @t79)) @t427))) % 34.33/34.55 (assume @p289 (forall (@list @t32 @t22 @t2) (= @t436 @t13))) % 34.33/34.55 (assume @p290 (forall @t425 (tptp.c_Fun_Oinj__on @t32 @t13 @t2 @t22))) % 34.33/34.55 (assume @p291 (forall @t431 (or @t428 @t429))) % 34.33/34.55 (assume @p292 (forall @t86 (or @t437 @t408))) % 34.33/34.55 (assume @p293 (forall @t86 (or @t437 @t14))) % 34.33/34.55 (assume @p294 (forall (@list @t2 @t32 @t22) (= @t13 @t436))) % 34.33/34.55 (assume @p295 (forall (@list @t32 @t2 @t22 @t26 @t24) (= (tptp.hAPP @t261 @t439) (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t261 @t438)) @t262)))) % 34.33/34.55 (assume @p296 (forall @t41 (or (= @t440 @t9) @t49))) % 34.33/34.55 (assume @p297 (forall (@list @t32 @t26 @t214 @t2 @t22) (or (= @t134 @t214) (not (tptp.hBOOL (tptp.c_in @t26 (tptp.hAPP @t261 (tptp.hAPP (tptp.hAPP @t27 @t214) @t82)) @t2)))))) % 34.33/34.55 (assume @p298 (forall (@list @t22 @t2 @t26 @t24) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t82 @t441 @t22 @t12) @t13))) % 34.33/34.55 (assume @p299 (forall (@list @t83 @t2 @t22 @t9) (or (= (tptp.hAPP @t240 @t9) (tptp.hAPP @t442 @t13)) @t427))) % 34.33/34.55 (assume @p300 (forall (@list @t64 @t2 @t26 @t24 @t22) (or (= @t444 @t443) @t353))) % 34.33/34.55 (assume @p301 (forall @t446 (or (tptp.c_lessequals @t147 (tptp.hAPP @t236 @t346) @t12) @t445 @t67))) % 34.33/34.55 (assume @p302 (forall @t178 (or @t189 @t447))) % 34.33/34.55 (assume @p303 (forall @t178 (or @t189 @t448))) % 34.33/34.55 (assume @p304 (forall @t118 (or @t20 @t383 @t226 @t174))) % 34.33/34.55 (assume @p305 (forall @t380 (or @t20 @t377 @t450 @t449))) % 34.33/34.55 (assume @p306 (forall @t178 (or @t20 @t448))) % 34.33/34.55 (assume @p307 (forall @t178 (or @t20 @t447))) % 34.33/34.55 (assume @p308 (forall @t86 (tptp.c_lessequals @t76 @t9 @t12))) % 34.33/34.55 (assume @p309 (forall @t86 (tptp.c_lessequals @t76 @t24 @t12))) % 34.33/34.55 (assume @p310 (forall (@list @t64 @t2 @t9 @t24) (or @t373 (not @t375) @t317))) % 34.33/34.55 (assume @p311 (forall (@list @t32 @t87 @t352 @t451 @t93 @t2 @t22) (= (tptp.c_Fun_Ocomp @t32 (tptp.c_Fun_Ocomp @t87 @t352 @t451 @t93 @t2) @t93 @t22 @t2) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t32 @t87 @t93 @t22 @t451) @t352 @t451 @t22 @t2)))) % 34.33/34.55 (assume @p312 (forall @t452 (not (= @t272 tptp.c_Com_Ocom_OSKIP)))) % 34.33/34.55 (assume @p313 (forall @t121 (or @t117 (= (tptp.hAPP (tptp.hAPP @t112 @t338) @t17) (tptp.hAPP (tptp.hAPP @t15 @t399) (tptp.hAPP (tptp.hAPP @t112 @t107) @t17)))))) % 34.33/34.55 (assume @p314 (forall @t118 (or @t117 (= @t348 @t347)))) % 34.33/34.55 (assume @p315 (forall @t106 (= (tptp.hAPP @t127 @t239) (tptp.hAPP @t238 @t182)))) % 34.33/34.55 (assume @p316 (forall @t102 (= (tptp.hAPP (tptp.hAPP @t99 @t239) @t9) (tptp.hAPP (tptp.hAPP @t74 @t260) @t237)))) % 34.33/34.55 (assume @p317 (forall (@list @t32 @t87 @t93 @t22) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t32 @t87 @t93 @t22 tptp.t_a) tptp.v_x) (tptp.hAPP @t32 @t88)))) % 34.33/34.55 (assume @p318 (forall @t47 (or @t245 @t205 @t43))) % 34.33/34.55 (assume @p319 (forall (@list @t32 @t22 @t2 @t87 @t93 @t9) (= (tptp.hAPP @t78 (tptp.hAPP (tptp.c_Set_Oimage @t87 @t93 @t22) @t9)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_COMBB @t32 @t87 @t22 @t2 @t93) @t93 @t2) @t9)))) % 34.33/34.55 (assume @p320 (forall @t178 (or @t189 @t453))) % 34.33/34.55 (assume @p321 (forall @t178 (or @t20 @t453))) % 34.33/34.55 (assume @p322 (forall @t86 (= (tptp.hAPP @t75 @t76) @t76))) % 34.33/34.55 (assume @p323 (forall (@list @t32 @t22 @t2 @t9 @t24 @t93) (= (tptp.hAPP @t78 @t454) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 (tptp.c_COMBB @t78 @t24 @t23 @t12 @t93) @t93 @t12)))) % 34.33/34.55 (assume @p324 (forall (@list @t32 @t17 @t107 @t2 @t22) (or (= (tptp.hAPP @t81 @t456) @t456) @t455))) % 34.33/34.55 (assume @p325 (forall (@list @t9 @t24 @t2 @t26) (or @t30 (not @t458)))) % 34.33/34.55 (assume @p326 (forall @t459 (or @t458 @t280))) % 34.33/34.55 (assume @p327 (forall (@list @t32 @t2 @t22 @t9 @t24 @t93) (= (tptp.hAPP @t261 @t454) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 (tptp.c_COMBB @t261 @t24 @t23 @t12 @t93) @t93 @t12)))) % 34.33/34.55 (assume @p328 (forall (@list @t32 @t87 @t93 @t2 @t22 @t460) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t32 @t87 @t93 @t2 @t22) @t22 @t2) @t460) (tptp.hAPP (tptp.c_Set_Oimage @t32 @t93 @t2) (tptp.hAPP (tptp.c_Set_Oimage @t87 @t22 @t93) @t460))))) % 34.33/34.55 (assume @p329 (forall (@list @t6 @t5 @t273 @t270) (not (= @t7 @t274)))) % 34.33/34.55 (assume @p330 (forall @t461 (or @t337 @t286))) % 34.33/34.55 (assume @p331 (forall @t461 (or @t337 @t243))) % 34.33/34.55 (assume @p332 (forall (@list @t32 @t87 @t2 @t22 @t93) (or (tptp.c_Finite__Set_Ofun__left__comm__idem (tptp.c_COMBB @t32 @t87 @t2 (tptp.tc_fun @t22 @t22) @t93) @t93 @t22) @t455))) % 34.33/34.55 (assume @p333 (forall @t131 (or @t20 (= (tptp.hAPP @t108 @t17) @t17)))) % 34.33/34.55 (assume @p334 (forall @t128 (= (tptp.hAPP @t75 @t9) @t9))) % 34.33/34.55 (assume @p335 (forall @t121 (or @t130 @t227 @t462))) % 34.33/34.55 (assume @p336 (forall @t385 (or @t130 @t225 @t462))) % 34.33/34.55 (assume @p337 (forall @t380 (or @t130 @t463 @t450))) % 34.33/34.55 (assume @p338 (forall @t380 (or @t130 @t463 @t449))) % 34.33/34.55 (assume @p339 (forall (@list @t2 @t214 @t17 @t26) (or @t130 @t215 @t464))) % 34.33/34.55 (assume @p340 (forall (@list @t2 @t26 @t17 @t214) (or @t130 @t212 @t464))) % 34.33/34.55 (assume @p341 (forall @t466 (or @t66 @t465))) % 34.33/34.55 (assume @p342 (forall (@list @t24 @t64 @t2 @t9) (or @t68 @t465))) % 34.33/34.55 (assume @p343 (forall @t128 (or @t165 (tptp.hBOOL (tptp.c_in @t467 @t9 @t2)) @t14 @t11))) % 34.33/34.55 (assume @p344 (forall @t92 (or @t91 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t90) @t32) @t87) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22) @t89) @t88))))) % 34.33/34.55 (assume @p345 (forall (@list @t2 @t107 @t17 @t110) (or @t310 @t224 (not (tptp.c_lessequals @t107 @t110 @t2)) @t209))) % 34.33/34.55 (assume @p346 (forall @t385 (or @t468 @t225 @t228 @t174))) % 34.33/34.55 (assume @p347 (forall @t247 (or @t42 @t59 @t205))) % 34.33/34.55 (assume @p348 (forall @t193 (or @t192 @t243 @t205))) % 34.33/34.55 (assume @p349 (forall @t430 (tptp.c_lessequals @t17 @t17 @t12))) % 34.33/34.55 (assume @p350 (forall @t247 (or @t42 @t205 @t59))) % 34.33/34.55 (assume @p351 (forall (@list @t469 @t24 @t2 @t9) (or (tptp.hBOOL (tptp.c_in @t469 @t24 @t2)) (not (tptp.hBOOL (tptp.c_in @t469 @t9 @t2))) @t205))) % 34.33/34.55 (assume @p352 (forall @t433 (tptp.c_lessequals @t9 @t9 @t12))) % 34.33/34.55 (assume @p353 (forall @t466 (or @t66 @t69 @t205))) % 34.33/34.55 (assume @p354 (forall @t414 (or @t33 @t205 @t150))) % 34.33/34.55 (assume @p355 (forall @t472 (or @t471 @t428 @t470))) % 34.33/34.55 (assume @p356 (forall @t131 (or @t310 @t473))) % 34.33/34.55 (assume @p357 (forall @t131 (or @t468 @t473))) % 34.33/34.55 (assume @p358 (forall @t211 (or @t10 @t279 @t205))) % 34.33/34.55 (assume @p359 (forall @t472 (or @t471 @t470 @t428))) % 34.33/34.55 (assume @p360 (forall @t211 (or @t10 @t205 @t279))) % 34.33/34.55 (assume @p361 (forall (@list @t32 @t93 @t22 @t9 @t24 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.hAPP (tptp.c_Set_Oimage @t32 @t93 @t22) @t9) @t24 @t22 @t12) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 (tptp.c_COMBB @t24 @t32 @t22 @t12 @t93) @t93 @t12)))) % 34.33/34.55 (assume @p362 (forall @t446 (or (tptp.c_lessequals @t76 (tptp.hAPP @t95 @t346) @t12) @t445 @t67))) % 34.33/34.55 (assume @p363 (forall @t420 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t101 @t12) (tptp.hAPP @t345 @t387)))) % 34.33/34.55 (assume @p364 (forall @t371 (or @t310 @t474 @t313))) % 34.33/34.55 (assume @p365 (forall @t371 (or @t310 (not @t474) @t314))) % 34.33/34.55 (assume @p366 (forall @t106 (= (tptp.c_HOL_Ominus__class_Ominus @t76 @t64 @t12) (tptp.hAPP @t75 @t386)))) % 34.33/34.55 (assume @p367 (forall @t77 (or (= @t152 (tptp.c_HOL_Ominus__class_Ominus @t72 @t71 @t23)) @t69 @t67 @t65))) % 34.33/34.55 (assume @p368 (forall @t128 (or @t165 (tptp.hBOOL (tptp.c_in @t475 @t9 @t2)) @t14 @t11))) % 34.33/34.55 (assume @p369 (forall (@list @t17 @t2 @t9 @t122) (or @t124 @t428 @t59))) % 34.33/34.55 (assume @p370 (forall (@list @t26 @t214 @t93 @t22 @t2 @t83 @t306 @t451 @t321) (or (not (= @t322 (tptp.c_Fun_Ocomp @t83 @t306 @t451 @t22 @t2))) (= @t323 (tptp.hAPP @t83 (tptp.hAPP @t306 @t321)))))) % 34.33/34.55 (assume @p371 (forall (@list @t32 @t87 @t17 @t478 @t477 @t159 @t22 @t2 @t93 @t451 @t476) (or (not (= @t319 (tptp.hAPP @t478 (tptp.hAPP @t477 @t159)))) (= @t320 (tptp.hAPP (tptp.c_Fun_Ocomp @t478 @t477 @t451 @t2 @t476) @t159))))) % 34.33/34.55 (assume @p372 (forall @t420 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t239 @t12) (tptp.hAPP @t349 @t387)))) % 34.33/34.55 (assume @p373 (forall (@list @t22 @t9 @t24 @t52 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t409 @t52 @t22 @t12) (tptp.hAPP (tptp.hAPP @t99 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t9 @t52 @t22 @t12)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t24 @t52 @t22 @t12))))) % 34.33/34.55 (assume @p374 (forall (@list @t9 @t32 @t17 @t2 @t22) (or @t480 (not @t479)))) % 34.33/34.55 (assume @p375 (forall (@list @t32 @t2 @t22 @t9 @t17) (or @t479 (not @t480)))) % 34.33/34.55 (assume @p376 (forall @t430 (= (tptp.c_The @t481 @t2) @t17))) % 34.33/34.55 (assume @p377 (forall @t411 (or @t196 @t357 @t359 @t168))) % 34.33/34.55 (assume @p378 (forall @t366 (or @t357 @t359 @t196 @t168))) % 34.33/34.55 (assume @p379 (forall @t366 (or @t357 @t196 @t359 @t168))) % 34.33/34.55 (assume @p380 (forall @t411 (or @t196 @t359 @t357 @t168))) % 34.33/34.55 (assume @p381 (forall @t369 (or @t165 (tptp.c_lessequals @t475 @t17 @t2) @t59 @t11))) % 34.33/34.55 (assume @p382 (forall @t461 (or @t190 @t286 @t243))) % 34.33/34.55 (assume @p383 (forall @t333 (or @t412 @t332 @t334))) % 34.33/34.55 (assume @p384 (forall (@list @t32 @t17 @t22 @t2) (or (= (tptp.c_Fun_Ocomp @t81 @t81 @t22 @t22 @t22) @t81) @t455))) % 34.33/34.55 (assume @p385 (forall (@list @t24 @t64 @t9 @t2) (or (= (tptp.c_HOL_Ominus__class_Ominus @t24 (tptp.c_HOL_Ominus__class_Ominus @t64 @t9 @t12) @t12) @t9) @t69 @t205))) % 34.33/34.55 (assume @p386 (forall @t485 (or @t484 @t483 @t482 @t209))) % 34.33/34.55 (assume @p387 (forall @t485 (or @t484 @t483 @t208 (not @t482)))) % 34.33/34.55 (assume @p388 (forall @t264 (or (tptp.c_lessequals @t72 @t71 @t23) @t205))) % 34.33/34.55 (assume @p389 (forall @t417 (or (not (tptp.c_lessequals @t17 @t9 @t23)) (tptp.c_lessequals (tptp.hAPP @t78 @t17) @t79 @t12)))) % 34.33/34.55 (assume @p390 (forall (@list @t2 @t486 @t21) (or @t310 (= (tptp.hAPP (tptp.hAPP @t74 (tptp.c_SetInterval_Oord__class_OlessThan @t486 @t2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t486 @t21 @t2)) @t13)))) % 34.33/34.55 (assume @p391 (forall (@list @t9 @t22 @t32 @t2) (or (tptp.c_Finite__Set_Ofinite @t9 @t22) (not (tptp.c_Fun_Oinj__on @t32 @t9 @t22 @t2)) (not (tptp.c_Finite__Set_Ofinite @t79 @t2))))) % 34.33/34.55 (assume @p392 (forall @t405 (or (= @t354 @t355) @t353))) % 34.33/34.55 (assume @p393 (forall @t487 (or @t165 (tptp.c_lessequals @t17 @t467 @t2) @t59 @t11))) % 34.33/34.55 (assume @p394 (forall @t181 (= (tptp.hAPP @t78 @t409) (tptp.hAPP (tptp.hAPP @t99 @t79) @t180)))) % 34.33/34.55 (assume @p395 (forall @t487 (or @t40 (tptp.c_lessequals @t17 @t278 @t2) @t59))) % 34.33/34.55 (assume @p396 (forall @t452 (not (= tptp.c_Com_Ocom_OSKIP @t272)))) % 34.33/34.55 (assume @p397 (forall @t223 (or @t165 @t208 @t173))) % 34.33/34.55 (assume @p398 (forall (@list @t26 @t32 @t415 @t2) (tptp.hBOOL (tptp.c_in @t26 (tptp.hAPP (tptp.c_Set_Ovimage @t32 @t415 @t2) (tptp.hAPP @t488 @t13)) @t415)))) % 34.33/34.55 (assume @p399 (forall (@list @t2 @t26 @t64 @t24 @t22) (or (= @t443 @t444) @t353))) % 34.33/34.55 (assume @p400 (forall (@list @t22 @t17 @t18 @t265 @t2) (or (not (= (tptp.hAPP (tptp.hAPP @t27 @t17) @t18) @t82)) (tptp.hBOOL (tptp.c_in @t17 @t18 @t22)) @t266))) % 34.33/34.55 (assume @p401 (forall @t371 (or @t40 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t491 @t2) @t218)))) % 34.33/34.55 (assume @p402 (forall (@list @t167 @t166 @t2 @t32 @t22 @t26) (or @t168 (= (tptp.c_Finite__Set_Ofold1 @t32 @t438 @t22) @t26)))) % 34.33/34.55 (assume @p403 (forall (@list @t2 @t290) (or @t310 (= (tptp.c_HOL_Ominus__class_Ominus @t492 (tptp.c_SetInterval_Oord__class_OlessThan @t290 @t2) @t12) @t492)))) % 34.33/34.55 (assume @p404 (forall @t62 (or @t61 @t205 @t57))) % 34.33/34.55 (assume @p405 (forall @t487 (or (= (tptp.c_HOL_Ominus__class_Ominus @t45 @t55 @t12) @t9) @t58))) % 34.33/34.55 (assume @p406 (forall @t371 (or @t40 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t491 @t2) @t376)))) % 34.33/34.55 (assume @p407 (forall (@list @t2 @t26 @t64 @t346) (or (tptp.c_lessequals (tptp.hAPP @t38 @t64) (tptp.hAPP @t38 @t346) @t12) (not (tptp.c_lessequals @t64 @t346 @t12))))) % 34.33/34.55 (assume @p408 (forall (@list @t26 @t2 @t214 @t9) (or @t493 @t49))) % 34.33/34.55 (assume @p409 (forall (@list @t26 @t2 @t214 @t24) (or (tptp.hBOOL (tptp.c_in @t26 @t494 @t2)) (not (tptp.hBOOL (tptp.c_in @t26 @t24 @t2)))))) % 34.33/34.55 (assume @p410 (forall (@list @t32 @t22 @t2 @t26 @t24) (= (tptp.hAPP @t78 @t439) (tptp.hAPP @t488 @t180)))) % 34.33/34.55 (assume @p411 (forall (@list @t395 @t2 @t26 @t9 @t393 @t394 @t167 @t166 @t392 @t391 @t390) (or (= (tptp.hAPP @t395 @t39) (tptp.hAPP @t495 @t397)) @t396))) % 34.33/34.55 (assume @p412 (forall (@list @t394 @t2 @t26 @t9 @t392 @t395 @t167 @t166 @t393 @t391 @t390) (or (= (tptp.hAPP @t394 @t39) (tptp.hAPP @t496 @t398)) @t396))) % 34.33/34.55 (assume @p413 (forall (@list @t26 @t9 @t2 @t214) (or @t48 @t497 (not @t493)))) % 34.33/34.55 (assume @p414 (forall @t41 (or @t498 @t11))) % 34.33/34.55 (assume @p415 (forall (@list @t9 @t2 @t26) (or @t10 (not @t498)))) % 34.33/34.55 (assume @p416 (forall (@list @t24 @t2 @t26) (tptp.c_lessequals @t24 @t252 @t12))) % 34.33/34.55 (assume @p417 (forall (@list @t2 @t26 @t9 @t24) (= (tptp.hAPP (tptp.hAPP @t74 @t39) @t252) @t372))) % 34.33/34.55 (assume @p418 (forall @t254 (= (tptp.hAPP @t127 @t252) (tptp.hAPP @t38 @t147)))) % 34.33/34.55 (assume @p419 (forall @t257 (= (tptp.hAPP (tptp.hAPP @t99 @t252) @t64) (tptp.hAPP @t38 @t101)))) % 34.33/34.55 (assume @p420 (forall (@list @t9 @t2 @t214 @t24) (or (tptp.c_lessequals @t9 @t494 @t12) @t205))) % 34.33/34.55 (assume @p421 (forall @t248 (or @t204 @t246))) % 34.33/34.55 (assume @p422 (forall (@list @t32 @t9 @t2 @t22 @t26) (or @t33 @t410))) % 34.33/34.55 (assume @p423 (forall (@list @t17 @t2 @t9) (tptp.hBOOL (tptp.c_in @t17 @t45 @t2)))) % 34.33/34.55 (assume @p424 (forall (@list @t26 @t2 @t24) (tptp.hBOOL (tptp.c_in @t26 @t252 @t2)))) % 34.33/34.55 (assume @p425 (forall (@list @t17 @t2 @t24) (tptp.hBOOL (tptp.c_in @t17 @t60 @t2)))) % 34.33/34.55 (assume @p426 (forall @t269 (tptp.c_Finite__Set_Ofun__left__comm__idem @t37 @t2 @t12))) % 34.33/34.55 (assume @p427 (forall @t47 (or (not (= @t45 @t60)) @t42 @t58 @t285))) % 34.33/34.55 (assume @p428 (forall @t41 (or (= @t39 @t9) @t49))) % 34.33/34.55 (assume @p429 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 34.33/34.55 (assume @p430 (forall (@list @t122 @t501 @t18 @t500 @t499) (or (not (tptp.hBOOL (tptp.hAPP @t122 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t501 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t18 @t500 @t499 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t122 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t501 @t18) @t500) @t499)))))) % 34.33/34.55 (assume @p431 (forall (@list @t122 @t501 @t503 @t401 @t502) (or (not (tptp.hBOOL (tptp.hAPP @t122 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t501 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t503 @t401 @t502 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t122 @t504))))) % 34.33/34.55 (assume @p432 (forall @t506 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t501 @t505 @t22 @t2) @t504))) % 34.33/34.55 (assume @p433 (forall @t506 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t501 @t505 @t22 @t2) @t504))) % 34.33/34.55 (assume @p434 (forall (@list @t300 @t510 @t2 @t507) (or @t511 (not (tptp.c_lessequals @t510 @t507 @t509)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 @t507 @t2))))) % 34.33/34.55 (assume @p435 (forall (@list @t300 @t510 @t2) (or @t511 (not (tptp.c_lessequals @t510 @t300 @t509))))) % 34.33/34.55 (assume @p436 (= (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 @t512))) % 34.33/34.55 (assume @p437 (= (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t513 @t512))) % 34.33/34.55 (assume @p438 (= (tptp.c_COMBC tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t513 tptp.v_Q))) % 34.33/34.55 (assume @p439 (forall (@list @t300 @t2 @t122 @t214 @t83) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t122 (tptp.c_Com_Ocom_OWhile @t214 @t83) @t517 @t2)) @t514) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t515 @t83 @t122 @t2)) @t514) @t2))))) % 34.33/34.55 (assume @p440 (forall (@list @t300 @t2 @t122 @t214 @t83 @t306 @t143) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t122 (tptp.c_Com_Ocom_OCond @t214 @t83 @t306) @t143 @t2)) @t514) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t517 @t306 @t143 @t2)) @t514) @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t515 @t83 @t143 @t2)) @t514) @t2))))) % 34.33/34.55 (assume @p441 (forall (@list @t22) (or (not (tptp.class_Orderings_Obot @t22)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t90) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t22))))) % 34.33/34.55 (assume @p442 (forall @t269 (or @t40 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t13 @t2) @t422)))) % 34.33/34.55 (assume @p443 (forall @t432 (= (tptp.c_Collect (tptp.c_fequal @t26 @t2) @t2) @t132))) % 34.33/34.55 (assume @p444 (forall (@list @t9 @t2 @t17) (or (= @t9 @t55) @t14 (not (tptp.c_lessequals @t9 @t55 @t12))))) % 34.33/34.55 (assume @p445 (forall @t430 (tptp.hBOOL (tptp.c_in @t17 @t55 @t2)))) % 34.33/34.55 (assume @p446 (forall (@list @t395 @t2 @t26 @t394 @t167 @t166 @t393 @t392 @t391 @t390) (or (= (tptp.hAPP @t395 @t132) @t26) @t396))) % 34.33/34.55 (assume @p447 (forall (@list @t394 @t2 @t26 @t395 @t167 @t166 @t393 @t392 @t391 @t390) (or (= (tptp.hAPP @t394 @t132) @t26) @t396))) % 34.33/34.55 (assume @p448 (forall @t518 (or @t40 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t132 @t2) @t26)))) % 34.33/34.55 (assume @p449 (forall @t131 (tptp.hBOOL (tptp.hAPP @t55 @t519)))) % 34.33/34.55 (assume @p450 (forall (@list @t2 @t26 @t22 @t24) (= (tptp.hAPP @t38 @t138) @t132))) % 34.33/34.55 (assume @p451 (forall @t434 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t32 @t55 @t2) @t17)))) % 34.33/34.55 (assume @p452 (forall @t518 (or @t165 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t132 @t2) @t26)))) % 34.33/34.55 (assume @p453 (forall @t131 (= (tptp.c_The @t55 @t2) @t17))) % 34.33/34.55 (assume @p454 (forall (@list @t395 @t2 @t26 @t214 @t393 @t394 @t167 @t166 @t392 @t391 @t390) (or (= (tptp.hAPP @t395 @t491) (tptp.hAPP @t495 @t214)) @t396))) % 34.33/34.55 (assume @p455 (forall (@list @t394 @t2 @t26 @t214 @t392 @t395 @t167 @t166 @t393 @t391 @t390) (or (= (tptp.hAPP @t394 @t491) (tptp.hAPP @t496 @t214)) @t396))) % 34.33/34.55 (assume @p456 (forall @t459 (= @t457 (tptp.c_HOL_Ominus__class_Ominus @t133 @t24 @t12)))) % 34.33/34.55 (assume @p457 (forall @t459 (= @t457 (tptp.c_HOL_Ominus__class_Ominus @t29 @t132 @t12)))) % 34.33/34.55 (assume @p458 (forall (@list @t26 @t214 @t32 @t2) (or @t497 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t32 @t132 @t2) @t214)))))) % 34.33/34.55 (assume @p459 (forall @t131 (= (tptp.c_Set_Ocontents @t55 @t2) @t17))) % 34.33/34.55 (assume @p460 (forall (@list @t110 @t2 @t17) (or (= @t110 @t519) (not (tptp.hBOOL (tptp.hAPP @t55 @t110)))))) % 34.33/34.55 (assume @p461 (forall (@list @t214 @t26 @t2) (or (= @t214 @t26) (not (tptp.hBOOL (tptp.c_in @t214 @t132 @t2)))))) % 34.33/34.55 (assume @p462 (forall (@list @t32 @t2 @t26) (= (tptp.c_Finite__Set_Ofold1 @t32 @t132 @t2) @t26))) % 34.33/34.55 (assume @p463 (forall @t518 (or @t165 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t132 @t2) @t26)))) % 34.33/34.55 (assume @p464 (forall @t41 (= @t440 @t39))) % 34.33/34.55 (assume @p465 (forall @t518 (or @t310 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t26 @t26 @t2) @t132)))) % 34.33/34.55 (assume @p466 (forall (@list @t2 @t17 @t18) (or (not (= (tptp.hAPP @t44 @t18) @t13)) (tptp.hBOOL (tptp.c_in @t17 @t18 @t2))))) % 34.33/34.55 (assume @p467 (forall @t41 (= @t39 (tptp.hAPP (tptp.hAPP @t99 @t132) @t9)))) % 34.33/34.55 (assume @p468 (forall @t518 (or @t40 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t132 @t2) @t26)))) % 34.33/34.55 (assume @p469 @t531) % 34.33/34.55 (assume @p470 (forall @t530 (or @t529 (tptp.hBOOL (tptp.hAPP @t528 @t533)) (not (tptp.hBOOL (tptp.hAPP @t526 @t532))) @t523))) % 34.33/34.55 (assume @p471 (forall @t535 (or @t529 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t122 @t534) @t532))))) % 34.33/34.55 (assume @p472 (forall @t536 (or @t529 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t143 @t534) @t533))) @t523))) % 34.33/34.55 (assume @p473 (forall @t535 (or @t529 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t122 @t537) @t524))))) % 34.33/34.55 (assume @p474 (forall @t536 (or @t529 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t143 @t537) @t527))) @t523))) % 34.33/34.55 (assume @p475 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 34.33/34.55 (assume @p476 (forall (@list @t300 @t2 @t122) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t122 tptp.c_Com_Ocom_OSKIP @t122 @t2)) @t514) @t2))) % 34.33/34.55 (assume @p477 (forall (@list @t300 @t2 @t122 @t83 @t306 @t142 @t143) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t122 (tptp.c_Com_Ocom_OSemi @t83 @t306) @t142 @t2)) @t514) @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t143 @t306 @t142 @t2)) @t514) @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP (tptp.hAPP @t516 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t122 @t83 @t143 @t2)) @t514) @t2))))) % 34.33/34.55 (assume @p478 (forall (@list @t300 @t2 @t469 @t510) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP @t538 @t510) @t2) (not @t511) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 (tptp.hAPP @t538 @t514) @t2))))) % 34.33/34.55 (assume @p479 (forall @t487 (tptp.hBOOL (tptp.hAPP @t45 @t17)))) % 34.33/34.55 (assume @p480 (forall (@list @t300 @t510 @t2 @t539) (or @t511 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 @t539 @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t539 @t510 @t2))))) % 34.33/34.55 (assume @p481 (forall @t41 (not (= @t13 @t39)))) % 34.33/34.55 (assume @p482 (forall @t543 (or @t542 (= @t502 @t540)))) % 34.33/34.55 (assume @p483 (forall @t543 (or @t542 @t404))) % 34.33/34.55 (assume @p484 (forall @t543 (or @t542 (= @t503 @t541)))) % 34.33/34.55 (assume @p485 (forall @t311 (or @t546 @t545 @t544))) % 34.33/34.55 (assume @p486 (forall @t311 (or @t546 @t547 @t544))) % 34.33/34.55 (assume @p487 (forall @t311 (or @t546 @t545 @t548))) % 34.33/34.55 (assume @p488 (forall @t311 (or @t546 @t547 @t548))) % 34.33/34.55 (assume @p489 (forall @t131 (not (tptp.hBOOL (tptp.hAPP @t13 @t17))))) % 34.33/34.55 (assume @p490 (forall (@list @t300 @t2) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t300 @t514 @t2))) % 34.33/34.55 (assume @p491 (forall (@list @t9 @t17 @t110 @t2) (or @t330 (= @t110 @t17) (not @t551)))) % 34.33/34.55 (assume @p492 (forall @t487 (= (tptp.hAPP @t44 @t45) @t45))) % 34.33/34.55 (assume @p493 (forall @t41 (not (= @t39 @t13)))) % 34.33/34.55 (assume @p494 (forall (@list @t2 @t17 @t110 @t9) (= (tptp.hAPP @t44 @t550) (tptp.hAPP @t549 @t45)))) % 34.33/34.55 (assume @p495 (forall (@list @t2 @t18 @t17) (= (tptp.hAPP @t552 @t55) (tptp.hAPP @t44 (tptp.hAPP @t552 @t13))))) % 34.33/34.55 (assume @p496 (forall @t371 (or (not (= @t132 @t490)) @t497))) % 34.33/34.55 (assume @p497 (forall (@list @t2 @t110 @t9 @t17) (or @t551 @t334))) % 34.33/34.55 (assume @p498 @t553) % 34.33/34.55 (assume @p499 (not @t554)) % 34.33/34.55 (assume @p500 (forall @t561 (or @t560 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P_H @t559) @t555)) @t557))) % 34.33/34.55 (assume @p501 (forall @t561 (or @t560 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q_H @t559) @t558))) @t557))) % 34.33/34.55 (assume @p502 (forall @t565 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t564) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t562))))) % 34.33/34.55 (assume @p503 (forall @t565 (or (tptp.class_Lattices_Oupper__semilattice @t564) @t566))) % 34.33/34.55 (assume @p504 (forall @t565 (or (tptp.class_Lattices_Olower__semilattice @t564) @t566))) % 34.33/34.55 (assume @p505 (forall @t565 (or (tptp.class_Lattices_Odistrib__lattice @t564) (not (tptp.class_Lattices_Odistrib__lattice @t562))))) % 34.33/34.55 (assume @p506 (forall @t565 (or (tptp.class_Lattices_Obounded__lattice @t564) (not (tptp.class_Lattices_Obounded__lattice @t562))))) % 34.33/34.55 (assume @p507 (forall @t565 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t564) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t562)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t563))))) % 34.33/34.55 (assume @p508 (forall @t565 (or (tptp.class_Orderings_Opreorder @t564) (not (tptp.class_Orderings_Opreorder @t562))))) % 34.33/34.55 (assume @p509 (forall @t565 (or (tptp.class_Lattices_Olattice @t564) @t566))) % 34.33/34.55 (assume @p510 (forall @t565 (or (tptp.class_Orderings_Oorder @t564) (not (tptp.class_Orderings_Oorder @t562))))) % 34.33/34.55 (assume @p511 (forall @t565 (or (tptp.class_Orderings_Obot @t564) (not (tptp.class_Orderings_Obot @t562))))) % 34.33/34.55 (assume @p512 (forall @t565 (or (tptp.class_HOL_Ominus @t564) (not (tptp.class_HOL_Ominus @t562))))) % 34.33/34.55 (assume @p513 (forall @t565 (or (tptp.class_HOL_Oord @t564) (not (tptp.class_HOL_Oord @t562))))) % 34.33/34.55 (assume @p514 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 34.33/34.55 (assume @p515 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 34.33/34.55 (assume @p516 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 34.33/34.55 (assume @p517 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 34.33/34.55 (assume @p518 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 34.33/34.55 (assume @p519 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 34.33/34.55 (assume @p520 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 34.33/34.55 (assume @p521 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 34.33/34.55 (assume @p522 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 34.33/34.55 (assume @p523 (tptp.class_Orderings_Obot tptp.tc_bool)) % 34.33/34.55 (assume @p524 (tptp.class_HOL_Ominus tptp.tc_bool)) % 34.33/34.55 (assume @p525 (tptp.class_HOL_Oord tptp.tc_bool)) % 34.33/34.55 (assume @p526 (forall @t430 (tptp.hBOOL (tptp.hAPP @t481 @t17)))) % 34.33/34.55 (assume @p527 (forall (@list @t567 @t1 @t2) (or (= @t567 @t1) (not (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t567 @t2) @t1)))))) % 34.33/34.55 (step @p528 :rule instantiate :premises (@p500) :args (@t571)) % 34.33/34.55 (step @p529 :rule instantiate :premises (@p473) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q))) % 34.33/34.55 (step @p530 :rule cnf_or_pos :args (@t573)) % 34.33/34.55 (step @p531 :rule reordering :premises (@p530) :args ((or @t554 @t572 (not @t573)))) % 34.33/34.55 (step @p532 :rule chain_m_resolution :premises (@p531 @p499 @p529) :args (@t572 @t574 (@list @t554 @t573))) % 34.33/34.55 (step @p533 :rule instantiate :premises (@p474) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q tptp.v_P_H tptp.v_Q_H))) % 34.33/34.55 (step @p534 :rule cnf_or_pos :args (@t578)) % 34.33/34.55 (step @p535 :rule reordering :premises (@p534) :args ((or @t554 @t575 @t577 (not @t578)))) % 34.33/34.55 (step @p536 :rule chain_m_resolution :premises (@p535 @p499 @p498 @p533) :args (@t577 @t579 (@list @t554 @t553 @t578))) % 34.33/34.55 (step @p537 :rule cnf_or_pos :args (@t583)) % 34.33/34.55 (step @p538 :rule reordering :premises (@p537) :args ((or @t576 @t580 @t582 (not @t583)))) % 34.33/34.55 (step @p539 :rule chain_m_resolution :premises (@p538 @p536 @p532 @p528) :args (@t582 @t579 (@list @t576 @t572 @t583))) % 34.33/34.55 (step @p540 :rule instantiate :premises (@p501) :args (@t571)) % 34.33/34.55 (step @p541 :rule cnf_or_pos :args (@t586)) % 34.33/34.55 (step @p542 :rule reordering :premises (@p541) :args ((or @t576 @t580 @t585 (not @t586)))) % 34.33/34.55 (step @p543 :rule chain_m_resolution :premises (@p542 @p536 @p532 @p540) :args (@t585 @t579 (@list @t576 @t572 @t586))) % 34.33/34.55 (step @p544 :rule cnf_or_pos :args (@t588)) % 34.33/34.55 (step @p545 :rule reordering :premises (@p544) :args ((or @t554 @t575 @t584 @t587 @t589))) % 34.33/34.55 (step @p546 :rule chain_m_resolution :premises (@p545 @p499 @p498 @p543 @p539) :args (@t589 (@list true false true false) (@list @t554 @t553 @t584 @t582))) % 34.33/34.55 (assume-push @p553 @t531) % 34.33/34.55 (step @p548 :rule instantiate :premises (@p469) :args ((@list tptp.v_G tptp.v_P tptp.v_c tptp.v_Q tptp.v_Q_H @t581 tptp.v_P_H))) % 34.33/34.55 (step-pop @p554 :rule scope :premises (@p548)) % 34.33/34.55 (step @p549 :rule process_scope :premises (@p554) :args (@t588)) % 34.33/34.55 (step @p551 :rule implies_elim :premises (@p549)) % 34.33/34.55 (step @p552 false :rule chain_m_resolution :premises (@p551 @p546 @p469) :args (false @t574 (@list @t588 @t531))) % 34.33/34.55 ) % 34.33/34.55 % SZS output end Proof % 34.33/34.55 % cvc5 exiting %------------------------------------------------------------------------------