%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT023-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:11 AM UTC 2026 % Result : Unsatisfiable 6.31s 6.50s % Output : Proof 6.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT023-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:18:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.31/6.50 % SZS status Unsatisfiable % 6.31/6.50 % SZS output start Proof % 6.31/6.53 ( % 6.31/6.53 (declare-sort $$unsorted 0) % 6.31/6.53 (declare-const tptp.v_P $$unsorted) % 6.31/6.53 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.v_a $$unsorted) % 6.31/6.53 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.tc_bool $$unsorted) % 6.31/6.53 (declare-const tptp.v_r $$unsorted) % 6.31/6.53 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 6.31/6.53 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.v_b $$unsorted) % 6.31/6.53 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.t_b $$unsorted) % 6.31/6.53 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.v_i $$unsorted) % 6.31/6.53 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.t_a $$unsorted) % 6.31/6.53 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.31/6.53 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.31/6.53 (define @t1 () (@var "T_a" $$unsorted)) % 6.31/6.53 (define @t2 () (@var "V_z" $$unsorted)) % 6.31/6.53 (define @t3 () (@var "V_y" $$unsorted)) % 6.31/6.53 (define @t4 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 6.31/6.53 (define @t5 () (@var "V_x" $$unsorted)) % 6.31/6.53 (define @t6 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t4 @t1)) % 6.31/6.53 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1)) % 6.31/6.53 (define @t8 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t2 @t1) @t6)) % 6.31/6.53 (define @t9 () (not (tptp.class_Lattices_Olattice @t1))) % 6.31/6.53 (define @t10 () (@list @t1 @t5 @t3 @t2)) % 6.31/6.53 (define @t11 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t2 @t1)) % 6.31/6.53 (define @t12 () (= @t6 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t11 @t1))) % 6.31/6.53 (define @t13 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 6.31/6.53 (define @t14 () (tptp.tc_fun @t1 tptp.tc_bool)) % 6.31/6.53 (define @t15 () (@var "V_C" $$unsorted)) % 6.31/6.53 (define @t16 () (@var "V_B" $$unsorted)) % 6.31/6.53 (define @t17 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t15 @t14)) % 6.31/6.53 (define @t18 () (@var "V_A" $$unsorted)) % 6.31/6.53 (define @t19 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t17 @t14)) % 6.31/6.53 (define @t20 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t14)) % 6.31/6.53 (define @t21 () (@list @t18 @t16 @t1 @t15)) % 6.31/6.53 (define @t22 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t15 @t14)) % 6.31/6.53 (define @t23 () (@list @t18 @t16 @t15 @t1)) % 6.31/6.53 (define @t24 () (@var "T_b" $$unsorted)) % 6.31/6.53 (define @t25 () (tptp.tc_fun @t24 tptp.tc_bool)) % 6.31/6.53 (define @t26 () (@var "V_f" $$unsorted)) % 6.31/6.53 (define @t27 () (tptp.c_Set_Oimage @t26 @t16 @t24 @t1)) % 6.31/6.53 (define @t28 () (tptp.c_Set_Oimage @t26 @t18 @t24 @t1)) % 6.31/6.53 (define @t29 () (tptp.c_Orderings_Obot__class_Obot @t14)) % 6.31/6.53 (define @t30 () (tptp.c_Orderings_Obot__class_Obot @t25)) % 6.31/6.53 (define @t31 () (tptp.c_Set_Oimage @t26 @t30 @t24 @t1)) % 6.31/6.53 (define @t32 () (@var "V_y_H" $$unsorted)) % 6.31/6.53 (define @t33 () (@var "V_x_H" $$unsorted)) % 6.31/6.53 (define @t34 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t32 @t1)) % 6.31/6.53 (define @t35 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t1)) % 6.31/6.53 (define @t36 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 6.31/6.53 (define @t37 () (@var "V_xa" $$unsorted)) % 6.31/6.53 (define @t38 () (= @t37 @t3)) % 6.31/6.53 (define @t39 () (tptp.c_Set_Oinsert @t5 @t29 @t1)) % 6.31/6.53 (define @t40 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t14)) % 6.31/6.53 (define @t41 () (@list @t18 @t16 @t1)) % 6.31/6.53 (define @t42 () (@var "V_P" $$unsorted)) % 6.31/6.53 (define @t43 () (@var "V_Q" $$unsorted)) % 6.31/6.53 (define @t44 () (@var "V_R" $$unsorted)) % 6.31/6.53 (define @t45 () (tptp.c_Relation_OImage @t44 @t16 @t24 @t1)) % 6.31/6.53 (define @t46 () (tptp.c_Relation_OImage @t44 @t18 @t24 @t1)) % 6.31/6.53 (define @t47 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t25)) % 6.31/6.53 (define @t48 () (@list @t44 @t18 @t16 @t24 @t1)) % 6.31/6.53 (define @t49 () (@var "V_S" $$unsorted)) % 6.31/6.53 (define @t50 () (tptp.tc_prod @t24 @t1)) % 6.31/6.53 (define @t51 () (tptp.tc_fun @t50 tptp.tc_bool)) % 6.31/6.53 (define @t52 () (@list @t1 @t5)) % 6.31/6.53 (define @t53 () (@list @t18 @t1)) % 6.31/6.53 (define @t54 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t5 @t1)) % 6.31/6.53 (define @t55 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 6.31/6.53 (define @t56 () (@list @t1 @t3 @t2 @t5)) % 6.31/6.53 (define @t57 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t2 @t1)) % 6.31/6.53 (define @t58 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t3 @t1)) % 6.31/6.53 (define @t59 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t57 @t1)) % 6.31/6.53 (define @t60 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t4 @t1)) % 6.31/6.53 (define @t61 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t15 @t14)) % 6.31/6.53 (define @t62 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t16 @t14)) % 6.31/6.53 (define @t63 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t17 @t14)) % 6.31/6.53 (define @t64 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t18 @t14)) % 6.31/6.53 (define @t65 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t18 @t14)) % 6.31/6.53 (define @t66 () (@list @t16 @t15 @t1 @t18)) % 6.31/6.53 (define @t67 () (tptp.tc_prod @t1 @t24)) % 6.31/6.53 (define @t68 () (tptp.tc_fun @t67 tptp.tc_bool)) % 6.31/6.53 (define @t69 () (tptp.c_Relation_ODomain @t16 @t1 @t24)) % 6.31/6.53 (define @t70 () (tptp.c_Relation_ODomain @t18 @t1 @t24)) % 6.31/6.53 (define @t71 () (not (= @t62 @t29))) % 6.31/6.53 (define @t72 () (@var "V_a" $$unsorted)) % 6.31/6.53 (define @t73 () (tptp.c_Set_Oinsert @t72 @t29 @t1)) % 6.31/6.53 (define @t74 () (@var "V_b" $$unsorted)) % 6.31/6.53 (define @t75 () (@var "V_J" $$unsorted)) % 6.31/6.53 (define @t76 () (tptp.c_Product__Type_OSigma @t75 @t15 @t1 @t24)) % 6.31/6.53 (define @t77 () (@var "V_I" $$unsorted)) % 6.31/6.53 (define @t78 () (tptp.c_Product__Type_OSigma @t77 @t15 @t1 @t24)) % 6.31/6.53 (define @t79 () (@list @t77 @t75 @t1 @t15 @t24)) % 6.31/6.53 (define @t80 () (tptp.c_in @t5 @t18 @t1)) % 6.31/6.53 (define @t81 () (not @t80)) % 6.31/6.53 (define @t82 () (@var "V_c" $$unsorted)) % 6.31/6.53 (define @t83 () (tptp.c_Set_Oinsert @t5 @t16 @t1)) % 6.31/6.53 (define @t84 () (tptp.c_lessequals @t18 @t83 @t14)) % 6.31/6.53 (define @t85 () (not @t84)) % 6.31/6.53 (define @t86 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t18 @t39 @t14) @t16 @t14)) % 6.31/6.53 (define @t87 () (not @t86)) % 6.31/6.53 (define @t88 () (@list @t18 @t5 @t16 @t1)) % 6.31/6.53 (define @t89 () (tptp.c_in @t5 @t16 @t1)) % 6.31/6.53 (define @t90 () (not @t89)) % 6.31/6.53 (define @t91 () (tptp.c_Set_Oinsert @t5 @t18 @t1)) % 6.31/6.53 (define @t92 () (tptp.c_HOL_Ominus__class_Ominus @t91 @t16 @t14)) % 6.31/6.53 (define @t93 () (@list @t5 @t18 @t1 @t16)) % 6.31/6.53 (define @t94 () (tptp.c_Relation_ORange @t16 @t24 @t1)) % 6.31/6.53 (define @t95 () (tptp.c_Relation_ORange @t18 @t24 @t1)) % 6.31/6.53 (define @t96 () (tptp.tc_prod @t1 @t1)) % 6.31/6.53 (define @t97 () (tptp.tc_fun @t96 tptp.tc_bool)) % 6.31/6.53 (define @t98 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t49 @t97)) % 6.31/6.53 (define @t99 () (tptp.c_Transitive__Closure_Ortrancl @t98 @t1)) % 6.31/6.53 (define @t100 () (tptp.c_Transitive__Closure_Ortrancl @t49 @t1)) % 6.31/6.53 (define @t101 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t1)) % 6.31/6.53 (define @t102 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t101 @t100 @t97)) % 6.31/6.53 (define @t103 () (@list @t44 @t1 @t49)) % 6.31/6.53 (define @t104 () (= @t18 @t30)) % 6.31/6.53 (define @t105 () (tptp.c_Set_Oinsert @t72 @t16 @t1)) % 6.31/6.53 (define @t106 () (@list @t72 @t16 @t1 @t15)) % 6.31/6.53 (define @t107 () (@list @t18 @t72 @t16 @t1)) % 6.31/6.53 (define @t108 () (@list @t1 @t18)) % 6.31/6.53 (define @t109 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 6.31/6.53 (define @t110 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t105 @t14)) % 6.31/6.53 (define @t111 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t73 @t14)) % 6.31/6.53 (define @t112 () (tptp.c_Set_Oinsert @t72 @t18 @t1)) % 6.31/6.53 (define @t113 () (@list @t72 @t18 @t1)) % 6.31/6.53 (define @t114 () (tptp.c_Set_Oinsert @t72 @t62 @t1)) % 6.31/6.53 (define @t115 () (@list @t44 @t24 @t1)) % 6.31/6.53 (define @t116 () (@var "V_r" $$unsorted)) % 6.31/6.53 (define @t117 () (tptp.c_Relation_Osym @t116 @t1)) % 6.31/6.53 (define @t118 () (not @t117)) % 6.31/6.53 (define @t119 () (@var "V_s" $$unsorted)) % 6.31/6.53 (define @t120 () (not (tptp.c_Relation_Osym @t119 @t1))) % 6.31/6.53 (define @t121 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t119 @t97)) % 6.31/6.53 (define @t122 () (@list @t116 @t119 @t1)) % 6.31/6.53 (define @t123 () (@list @t18 @t16 @t1 @t24)) % 6.31/6.53 (define @t124 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 6.31/6.53 (define @t125 () (@list @t1 @t16)) % 6.31/6.53 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t16 @t25)) % 6.31/6.53 (define @t127 () (@list @t26 @t18 @t16 @t24 @t1)) % 6.31/6.53 (define @t128 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t46 @t45 @t14)) % 6.31/6.53 (define @t129 () (tptp.c_Relation_OImage @t44 @t126 @t24 @t1)) % 6.31/6.53 (define @t130 () (tptp.c_lessequals @t15 @t18 @t14)) % 6.31/6.53 (define @t131 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t15 @t14) @t63)) % 6.31/6.53 (define @t132 () (not @t130)) % 6.31/6.53 (define @t133 () (tptp.hBOOL (tptp.hAPP @t20 @t5))) % 6.31/6.53 (define @t134 () (tptp.hBOOL (tptp.hAPP @t18 @t5))) % 6.31/6.53 (define @t135 () (tptp.hBOOL (tptp.hAPP @t16 @t5))) % 6.31/6.53 (define @t136 () (@list @t16 @t5 @t18 @t1)) % 6.31/6.53 (define @t137 () (not @t135)) % 6.31/6.53 (define @t138 () (@list @t18 @t16 @t1 @t5)) % 6.31/6.53 (define @t139 () (not @t134)) % 6.31/6.53 (define @t140 () (tptp.c_Wellfounded_Owf @t116 @t1)) % 6.31/6.53 (define @t141 () (not @t140)) % 6.31/6.53 (define @t142 () (tptp.c_Relation_ODomain @t116 @t1 @t1)) % 6.31/6.53 (define @t143 () (@list @t116 @t1 @t119)) % 6.31/6.53 (define @t144 () (tptp.c_COMBK @t15 @t25 @t1)) % 6.31/6.53 (define @t145 () (tptp.c_Product__Type_OSigma @t16 @t144 @t1 @t24)) % 6.31/6.53 (define @t146 () (tptp.c_Product__Type_OSigma @t18 @t144 @t1 @t24)) % 6.31/6.53 (define @t147 () (@list @t18 @t16 @t1 @t15 @t24)) % 6.31/6.53 (define @t148 () (tptp.c_Relation_Orefl__on @t18 @t116 @t1)) % 6.31/6.53 (define @t149 () (not @t148)) % 6.31/6.53 (define @t150 () (not (tptp.c_Relation_Orefl__on @t16 @t119 @t1))) % 6.31/6.53 (define @t151 () (@list @t18 @t16 @t1 @t116 @t119)) % 6.31/6.53 (define @t152 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 6.31/6.53 (define @t153 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t152 @t1)) % 6.31/6.53 (define @t154 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t58 @t2 @t1) @t153)) % 6.31/6.53 (define @t155 () (= @t153 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t57 @t1))) % 6.31/6.53 (define @t156 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 6.31/6.53 (define @t157 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t15 @t14)) % 6.31/6.53 (define @t158 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t157 @t14)) % 6.31/6.53 (define @t159 () (tptp.c_COMBK @t16 @t25 @t1)) % 6.31/6.53 (define @t160 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t74 @t16 @t24) @t25 @t1)) % 6.31/6.53 (define @t161 () (tptp.c_Pair @t72 @t74 @t1 @t24)) % 6.31/6.53 (define @t162 () (@list @t15 @t18 @t16 @t1)) % 6.31/6.53 (define @t163 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t157 @t14)) % 6.31/6.53 (define @t164 () (tptp.c_lessequals @t18 @t16 @t14)) % 6.31/6.53 (define @t165 () (not @t164)) % 6.31/6.53 (define @t166 () (not (tptp.c_lessequals @t16 @t18 @t14))) % 6.31/6.53 (define @t167 () (tptp.c_lessequals @t5 @t3 @t1)) % 6.31/6.53 (define @t168 () (not @t167)) % 6.31/6.53 (define @t169 () (= @t58 @t5)) % 6.31/6.53 (define @t170 () (@list @t1 @t5 @t3)) % 6.31/6.53 (define @t171 () (tptp.c_lessequals @t3 @t5 @t1)) % 6.31/6.53 (define @t172 () (not @t171)) % 6.31/6.53 (define @t173 () (tptp.c_lessequals @t18 @t15 @t14)) % 6.31/6.53 (define @t174 () (not @t173)) % 6.31/6.53 (define @t175 () (tptp.c_lessequals @t16 @t15 @t14)) % 6.31/6.53 (define @t176 () (not @t175)) % 6.31/6.53 (define @t177 () (tptp.c_lessequals @t20 @t15 @t14)) % 6.31/6.53 (define @t178 () (@list @t16 @t18 @t1)) % 6.31/6.53 (define @t179 () (tptp.c_lessequals @t72 @t5 @t1)) % 6.31/6.53 (define @t180 () (not @t179)) % 6.31/6.53 (define @t181 () (tptp.c_lessequals @t74 @t5 @t1)) % 6.31/6.53 (define @t182 () (not @t181)) % 6.31/6.53 (define @t183 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t74 @t1)) % 6.31/6.53 (define @t184 () (tptp.c_lessequals @t183 @t5 @t1)) % 6.31/6.53 (define @t185 () (@list @t1 @t72 @t74 @t5)) % 6.31/6.53 (define @t186 () (tptp.c_lessequals @t5 @t7 @t1)) % 6.31/6.53 (define @t187 () (tptp.c_lessequals @t3 @t7 @t1)) % 6.31/6.53 (define @t188 () (@list @t1 @t3 @t5)) % 6.31/6.53 (define @t189 () (tptp.c_lessequals @t2 @t5 @t1)) % 6.31/6.53 (define @t190 () (tptp.c_lessequals @t5 @t2 @t1)) % 6.31/6.53 (define @t191 () (not @t190)) % 6.31/6.53 (define @t192 () (tptp.c_lessequals @t3 @t2 @t1)) % 6.31/6.53 (define @t193 () (not @t192)) % 6.31/6.53 (define @t194 () (tptp.c_lessequals @t7 @t2 @t1)) % 6.31/6.53 (define @t195 () (= @t58 @t54)) % 6.31/6.53 (define @t196 () (tptp.c_Wellfounded_Oacyclic @t116 @t1)) % 6.31/6.53 (define @t197 () (@list @t116 @t1)) % 6.31/6.53 (define @t198 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t18 @t14)) % 6.31/6.53 (define @t199 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t198 @t14)) % 6.31/6.53 (define @t200 () (tptp.c_Set_Oinsert @t72 @t111 @t1)) % 6.31/6.53 (define @t201 () (= @t72 @t74)) % 6.31/6.53 (define @t202 () (tptp.c_Set_Oinsert @t74 @t29 @t1)) % 6.31/6.53 (define @t203 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t18 @t14)) % 6.31/6.53 (define @t204 () (tptp.c_COMBK @t82 @t1 @t24)) % 6.31/6.53 (define @t205 () (tptp.c_Relation_Oconverse @t119 @t24 @t1)) % 6.31/6.53 (define @t206 () (tptp.c_Relation_Oconverse @t116 @t24 @t1)) % 6.31/6.53 (define @t207 () (@list @t116 @t119 @t24 @t1)) % 6.31/6.53 (define @t208 () (tptp.c_in @t72 @t18 @t1)) % 6.31/6.53 (define @t209 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t105 @t14)) % 6.31/6.53 (define @t210 () (tptp.c_in @t72 @t15 @t1)) % 6.31/6.53 (define @t211 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 @t15 @t14)) % 6.31/6.53 (define @t212 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t18 @t116 @t1)) % 6.31/6.53 (define @t213 () (not @t212)) % 6.31/6.53 (define @t214 () (tptp.c_Relation_Ototal__on @t18 @t116 @t1)) % 6.31/6.53 (define @t215 () (@list @t18 @t116 @t1)) % 6.31/6.53 (define @t216 () (not (= @t20 @t29))) % 6.31/6.53 (define @t217 () (= @t18 @t29)) % 6.31/6.53 (define @t218 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t1) @t109))) % 6.31/6.53 (define @t219 () (@list @t1 @t18 @t16)) % 6.31/6.53 (define @t220 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t18 @t14)) % 6.31/6.53 (define @t221 () (@var "T_c" $$unsorted)) % 6.31/6.53 (define @t222 () (@var "V_T" $$unsorted)) % 6.31/6.53 (define @t223 () (tptp.tc_prod @t1 @t221)) % 6.31/6.53 (define @t224 () (tptp.tc_fun @t223 tptp.tc_bool)) % 6.31/6.53 (define @t225 () (tptp.c_lessequals @t15 @t62 @t14)) % 6.31/6.53 (define @t226 () (not @t225)) % 6.31/6.53 (define @t227 () (tptp.c_lessequals @t15 @t16 @t14)) % 6.31/6.53 (define @t228 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t72 @t74 @t1)) % 6.31/6.53 (define @t229 () (tptp.c_lessequals @t5 @t228 @t1)) % 6.31/6.53 (define @t230 () (not @t229)) % 6.31/6.53 (define @t231 () (tptp.c_lessequals @t5 @t72 @t1)) % 6.31/6.53 (define @t232 () (@list @t1 @t5 @t72 @t74)) % 6.31/6.53 (define @t233 () (tptp.c_lessequals @t5 @t74 @t1)) % 6.31/6.53 (define @t234 () (tptp.c_lessequals @t228 @t5 @t1)) % 6.31/6.53 (define @t235 () (tptp.c_lessequals @t5 @t152 @t1)) % 6.31/6.53 (define @t236 () (not @t235)) % 6.31/6.53 (define @t237 () (@list @t1 @t5 @t2 @t3)) % 6.31/6.53 (define @t238 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 @t14)) % 6.31/6.53 (define @t239 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t15 @t14)) % 6.31/6.53 (define @t240 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t1)) % 6.31/6.53 (define @t241 () (= @t7 @t240)) % 6.31/6.53 (define @t242 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t7 @t1) @t7)) % 6.31/6.53 (define @t243 () (@list @t18 @t16 @t24 @t1)) % 6.31/6.53 (define @t244 () (tptp.hBOOL (tptp.hAPP @t62 @t5))) % 6.31/6.53 (define @t245 () (not @t244)) % 6.31/6.53 (define @t246 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t119 @t97)) % 6.31/6.53 (define @t247 () (@list @t5 @t18 @t1)) % 6.31/6.53 (define @t248 () (tptp.c_lessequals @t18 @t17 @t14)) % 6.31/6.53 (define @t249 () (tptp.c_lessequals @t40 @t15 @t14)) % 6.31/6.53 (define @t250 () (tptp.c_Pair @t3 @t5 @t1 @t1)) % 6.31/6.53 (define @t251 () (tptp.c_Set_Oinsert @t250 @t116 @t96)) % 6.31/6.53 (define @t252 () (tptp.c_Wellfounded_Oacyclic @t251 @t1)) % 6.31/6.53 (define @t253 () (not @t252)) % 6.31/6.53 (define @t254 () (@list @t116 @t1 @t3 @t5)) % 6.31/6.53 (define @t255 () (tptp.c_in @t82 @t18 @t1)) % 6.31/6.53 (define @t256 () (not @t255)) % 6.31/6.53 (define @t257 () (tptp.c_in @t82 @t16 @t1)) % 6.31/6.53 (define @t258 () (not @t257)) % 6.31/6.53 (define @t259 () (tptp.c_in @t82 @t62 @t1)) % 6.31/6.53 (define @t260 () (@list @t82 @t18 @t16 @t1)) % 6.31/6.53 (define @t261 () (tptp.c_in @t82 @t20 @t1)) % 6.31/6.53 (define @t262 () (not (tptp.c_in @t5 @t29 @t1))) % 6.31/6.53 (define @t263 () (@list @t5 @t1)) % 6.31/6.53 (define @t264 () (tptp.hBOOL (tptp.hAPP @t42 @t5))) % 6.31/6.53 (define @t265 () (@list @t42 @t5 @t1)) % 6.31/6.53 (define @t266 () (@list @t72 @t1)) % 6.31/6.53 (define @t267 () (@list @t82 @t16 @t1 @t18)) % 6.31/6.53 (define @t268 () (tptp.c_in @t82 @t40 @t1)) % 6.31/6.53 (define @t269 () (not @t268)) % 6.31/6.53 (define @t270 () (@list @t82 @t18 @t1 @t16)) % 6.31/6.53 (define @t271 () (not @t259)) % 6.31/6.53 (define @t272 () (not @t264)) % 6.31/6.53 (define @t273 () (tptp.c_Relation_Otrans @t116 @t1)) % 6.31/6.53 (define @t274 () (@list @t116 @t1 @t18)) % 6.31/6.53 (define @t275 () (not @t273)) % 6.31/6.53 (define @t276 () (tptp.c_Relation_OId @t1)) % 6.31/6.53 (define @t277 () (tptp.c_HOL_Ominus__class_Ominus @t116 @t276 @t97)) % 6.31/6.53 (define @t278 () (not @t196)) % 6.31/6.53 (define @t279 () (tptp.c_Transitive__Closure_Otrancl @t116 @t1)) % 6.31/6.53 (define @t280 () (tptp.c_Pair @t5 @t5 @t1 @t1)) % 6.31/6.53 (define @t281 () (@list @t5 @t1 @t116)) % 6.31/6.53 (define @t282 () (not (tptp.c_Equiv__Relations_Oequiv @t18 @t116 @t1))) % 6.31/6.53 (define @t283 () (tptp.c_Relation_OImage @t116 @t202 @t1 @t1)) % 6.31/6.53 (define @t284 () (tptp.c_Relation_OImage @t116 @t73 @t1 @t1)) % 6.31/6.53 (define @t285 () (tptp.c_Pair @t72 @t74 @t1 @t1)) % 6.31/6.53 (define @t286 () (tptp.c_in @t285 @t116 @t96)) % 6.31/6.53 (define @t287 () (tptp.c_Wellfounded_Owf @t44 @t1)) % 6.31/6.53 (define @t288 () (not @t287)) % 6.31/6.53 (define @t289 () (@var "V_D" $$unsorted)) % 6.31/6.53 (define @t290 () (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 @t18 @t16 @t289 @t1 @t24)) % 6.31/6.53 (define @t291 () (tptp.c_Product__Type_OSigma @t18 @t16 @t1 @t24)) % 6.31/6.53 (define @t292 () (tptp.c_lessequals @t291 (tptp.c_Product__Type_OSigma @t15 @t289 @t1 @t24) @t68)) % 6.31/6.53 (define @t293 () (@list @t18 @t16 @t1 @t24 @t15 @t289)) % 6.31/6.53 (define @t294 () (tptp.c_Product__Type_OSigma @t18 (tptp.c_COMBK @t18 @t14 @t1) @t1 @t1)) % 6.31/6.53 (define @t295 () (tptp.c_lessequals @t116 @t294 @t97)) % 6.31/6.53 (define @t296 () (not @t295)) % 6.31/6.53 (define @t297 () (tptp.c_Wellfounded_Owf @t98 @t1)) % 6.31/6.53 (define @t298 () (@list @t44 @t49 @t1)) % 6.31/6.53 (define @t299 () (not (tptp.c_lessequals @t116 @t119 @t97))) % 6.31/6.53 (define @t300 () (@list @t116 @t18 @t1)) % 6.31/6.53 (define @t301 () (not (tptp.c_lessequals @t116 (tptp.c_Product__Type_OSigma @t18 @t159 @t1 @t24) @t68))) % 6.31/6.53 (define @t302 () (tptp.tc_prod @t24 @t221)) % 6.31/6.53 (define @t303 () (tptp.tc_fun @t302 tptp.tc_bool)) % 6.31/6.53 (define @t304 () (tptp.tc_fun @t221 tptp.tc_bool)) % 6.31/6.53 (define @t305 () (tptp.c_Relation_Orel__comp @t116 @t119 @t1 @t24 @t221)) % 6.31/6.53 (define @t306 () (tptp.c_Transitive__Closure_Ortrancl @t116 @t1)) % 6.31/6.53 (define @t307 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t279 @t276 @t97)) % 6.31/6.53 (define @t308 () (@list @t18 @t16 @t1 @t15 @t289)) % 6.31/6.53 (define @t309 () (@list @t5 @t16 @t1 @t18)) % 6.31/6.53 (define @t310 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t11 @t1)) % 6.31/6.53 (define @t311 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t152 @t1)) % 6.31/6.53 (define @t312 () (@list @t18 @t15 @t1 @t16)) % 6.31/6.53 (define @t313 () (tptp.c_Relation_Oconverse @t116 @t1 @t1)) % 6.31/6.53 (define @t314 () (tptp.c_Wellfounded_Oacyclic @t313 @t1)) % 6.31/6.53 (define @t315 () (= @t7 @t3)) % 6.31/6.53 (define @t316 () (= @t20 @t16)) % 6.31/6.53 (define @t317 () (= @t72 @t82)) % 6.31/6.53 (define @t318 () (@var "V_d" $$unsorted)) % 6.31/6.53 (define @t319 () (= @t72 @t318)) % 6.31/6.53 (define @t320 () (not (= (tptp.c_Set_Oinsert @t72 @t202 @t1) (tptp.c_Set_Oinsert @t82 (tptp.c_Set_Oinsert @t318 @t29 @t1) @t1)))) % 6.31/6.53 (define @t321 () (@list @t72 @t74 @t1 @t82 @t318)) % 6.31/6.53 (define @t322 () (= @t74 @t82)) % 6.31/6.53 (define @t323 () (= @t74 @t318)) % 6.31/6.53 (define @t324 () (@list @t1)) % 6.31/6.53 (define @t325 () (not @t208)) % 6.31/6.53 (define @t326 () (not (tptp.c_lessequals @t16 @t289 @t14))) % 6.31/6.53 (define @t327 () (tptp.c_lessequals @t58 @t5 @t1)) % 6.31/6.53 (define @t328 () (tptp.c_lessequals @t58 @t3 @t1)) % 6.31/6.53 (define @t329 () (not @t231)) % 6.31/6.53 (define @t330 () (not @t233)) % 6.31/6.53 (define @t331 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t58 @t1) @t58)) % 6.31/6.53 (define @t332 () (@var "V_r_H" $$unsorted)) % 6.31/6.53 (define @t333 () (not @t194)) % 6.31/6.53 (define @t334 () (tptp.c_lessequals @t5 @t183 @t1)) % 6.31/6.53 (define @t335 () (not @t184)) % 6.31/6.53 (define @t336 () (not @t177)) % 6.31/6.53 (define @t337 () (tptp.c_lessequals @t32 @t33 @t1)) % 6.31/6.53 (define @t338 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t1) @t34))) % 6.31/6.53 (define @t339 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 6.31/6.53 (define @t340 () (@list @t1 @t5 @t3 @t33 @t32)) % 6.31/6.53 (define @t341 () (tptp.c_Relation_Oirrefl @t116 @t1)) % 6.31/6.53 (define @t342 () (= @t18 @t16)) % 6.31/6.53 (define @t343 () (not (tptp.c_in @t5 @t15 @t1))) % 6.31/6.53 (define @t344 () (tptp.c_COMBK @t15 @t14 @t24)) % 6.31/6.53 (define @t345 () (tptp.c_Product__Type_OSigma @t16 @t344 @t24 @t1)) % 6.31/6.53 (define @t346 () (tptp.c_Product__Type_OSigma @t18 @t344 @t24 @t1)) % 6.31/6.53 (define @t347 () (@list @t18 @t15 @t1 @t24 @t16 @t5)) % 6.31/6.53 (define @t348 () (tptp.c_in @t74 (tptp.c_Relation_OImage @t116 @t18 @t24 @t1) @t1)) % 6.31/6.53 (define @t349 () (not @t348)) % 6.31/6.53 (define @t350 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t18 @t74 @t116 @t24 @t1)) % 6.31/6.53 (define @t351 () (@list @t18 @t74 @t116 @t24 @t1)) % 6.31/6.53 (define @t352 () (tptp.c_in @t5 @t99 @t96)) % 6.31/6.53 (define @t353 () (@list @t5 @t44 @t49 @t1)) % 6.31/6.53 (define @t354 () (tptp.c_Wellfounded_Oacc @t116 @t1)) % 6.31/6.53 (define @t355 () (tptp.c_in @t72 @t354 @t1)) % 6.31/6.53 (define @t356 () (not @t355)) % 6.31/6.53 (define @t357 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t42 @t116 @t1)) % 6.31/6.53 (define @t358 () (tptp.hBOOL (tptp.hAPP @t42 @t72))) % 6.31/6.53 (define @t359 () (@list @t42 @t72 @t116 @t1)) % 6.31/6.53 (define @t360 () (tptp.c_Wellfounded_Oacc @t44 @t1)) % 6.31/6.53 (define @t361 () (tptp.c_in @t5 @t360 @t1)) % 6.31/6.53 (define @t362 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t44 @t5 @t1)) % 6.31/6.53 (define @t363 () (@list @t44 @t5 @t1)) % 6.31/6.53 (define @t364 () (tptp.c_Relation_Orel__comp @t44 @t44 @t1 @t1 @t1)) % 6.31/6.53 (define @t365 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t364 (tptp.c_Relation_Orel__comp @t49 @t44 @t1 @t1 @t1) @t97) @t49 @t97) @t1)) % 6.31/6.53 (define @t366 () (@list @t44 @t1)) % 6.31/6.53 (define @t367 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t276 @t97)) % 6.31/6.53 (define @t368 () (tptp.c_Relation_OId__on @t18 @t1)) % 6.31/6.53 (define @t369 () (tptp.c_Relation_Oantisym @t367 @t1)) % 6.31/6.53 (define @t370 () (tptp.c_Relation_Oantisym @t116 @t1)) % 6.31/6.53 (define @t371 () (not @t370)) % 6.31/6.53 (define @t372 () (tptp.c_Relation_Ototal__on @t18 @t277 @t1)) % 6.31/6.53 (define @t373 () (not @t214)) % 6.31/6.53 (define @t374 () (tptp.c_Relation_Orel__comp @t306 @t116 @t1 @t1 @t1)) % 6.31/6.53 (define @t375 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t116 @t1)) % 6.31/6.53 (define @t376 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t116 @t1)) % 6.31/6.53 (define @t377 () (tptp.c_Nitpick_Orefl_H @t116 @t1)) % 6.31/6.53 (define @t378 () (not @t341)) % 6.31/6.53 (define @t379 () (tptp.hBOOL (tptp.hAPP @t42 @t3))) % 6.31/6.53 (define @t380 () (@list @t42 @t72 @t3 @t116 @t1)) % 6.31/6.53 (define @t381 () (tptp.c_lessequals @t18 @t16 @t25)) % 6.31/6.53 (define @t382 () (tptp.c_lessequals @t346 @t345 @t51)) % 6.31/6.53 (define @t383 () (tptp.c_Pair @t5 @t3 @t1 @t1)) % 6.31/6.53 (define @t384 () (tptp.c_in @t383 @t306 @t96)) % 6.31/6.53 (define @t385 () (not @t384)) % 6.31/6.53 (define @t386 () (@list @t5 @t3 @t1 @t116)) % 6.31/6.53 (define @t387 () (@list @t3 @t5 @t1 @t116)) % 6.31/6.53 (define @t388 () (tptp.c_Pair @t72 @t74 @t24 @t1)) % 6.31/6.53 (define @t389 () (tptp.c_in @t388 @t116 @t50)) % 6.31/6.53 (define @t390 () (tptp.c_in @t74 (tptp.c_Relation_OImage @t116 (tptp.c_Set_Oinsert @t72 @t30 @t24) @t24 @t1) @t1)) % 6.31/6.53 (define @t391 () (@list @t72 @t74 @t24 @t1 @t116)) % 6.31/6.53 (define @t392 () (tptp.c_in @t383 @t116 @t96)) % 6.31/6.53 (define @t393 () (not @t392)) % 6.31/6.53 (define @t394 () (= (tptp.c_Relation_OImage @t116 @t39 @t1 @t1) (tptp.c_Relation_OImage @t116 (tptp.c_Set_Oinsert @t3 @t29 @t1) @t1 @t1))) % 6.31/6.53 (define @t395 () (@list @t116 @t5 @t1 @t3 @t18)) % 6.31/6.53 (define @t396 () (not @t286)) % 6.31/6.53 (define @t397 () (= @t284 @t283)) % 6.31/6.53 (define @t398 () (@list @t116 @t72 @t1 @t74 @t18)) % 6.31/6.53 (define @t399 () (not (tptp.c_in @t74 @t18 @t1))) % 6.31/6.53 (define @t400 () (tptp.c_in @t3 @t18 @t1)) % 6.31/6.53 (define @t401 () (not @t400)) % 6.31/6.53 (define @t402 () (not @t394)) % 6.31/6.53 (define @t403 () (tptp.c_in @t285 @t306 @t96)) % 6.31/6.53 (define @t404 () (not @t403)) % 6.31/6.53 (define @t405 () (tptp.c_Wellfounded_Owf @t251 @t1)) % 6.31/6.53 (define @t406 () (tptp.c_Relation_Orel__comp @t313 @t116 @t1 @t1 @t1)) % 6.31/6.53 (define @t407 () (tptp.c_Transitive__Closure_Otrancl @t44 @t1)) % 6.31/6.53 (define @t408 () (tptp.c_in @t383 @t407 @t96)) % 6.31/6.53 (define @t409 () (not @t408)) % 6.31/6.53 (define @t410 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t44 @t5 @t3 @t1)) % 6.31/6.53 (define @t411 () (@list @t5 @t44 @t3 @t1)) % 6.31/6.53 (define @t412 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t44 @t5 @t3 @t1)) % 6.31/6.53 (define @t413 () (@list @t44 @t5 @t3 @t1)) % 6.31/6.53 (define @t414 () (@var "V_p" $$unsorted)) % 6.31/6.53 (define @t415 () (tptp.c_in @t414 @t279 @t96)) % 6.31/6.53 (define @t416 () (not @t405)) % 6.31/6.53 (define @t417 () (not (tptp.c_in @t5 @t18 @t24))) % 6.31/6.53 (define @t418 () (tptp.hAPP @t26 @t5)) % 6.31/6.53 (define @t419 () (tptp.c_Set_Oimage @t26 @t18 @t1 @t24)) % 6.31/6.53 (define @t420 () (@list @t26 @t5 @t18 @t1 @t24)) % 6.31/6.53 (define @t421 () (not (tptp.c_lessequals @t332 @t116 @t68))) % 6.31/6.53 (define @t422 () (@var "V_A_H" $$unsorted)) % 6.31/6.53 (define @t423 () (tptp.c_Relation_OImage @t116 @t18 @t1 @t24)) % 6.31/6.53 (define @t424 () (@list @t5 @t18 @t24 @t26 @t1)) % 6.31/6.53 (define @t425 () (not (tptp.c_lessequals @t116 @t119 @t68))) % 6.31/6.53 (define @t426 () (tptp.c_Relation_ODomain @t116 @t1 @t24)) % 6.31/6.53 (define @t427 () (@list @t116 @t1 @t24 @t119)) % 6.31/6.53 (define @t428 () (tptp.c_Relation_Osingle__valued @t116 @t1 @t24)) % 6.31/6.53 (define @t429 () (not (tptp.c_lessequals @t42 @t43 @t14))) % 6.31/6.53 (define @t430 () (tptp.hBOOL (tptp.hAPP @t43 @t5))) % 6.31/6.53 (define @t431 () (@list @t43 @t5 @t42 @t1)) % 6.31/6.53 (define @t432 () (tptp.c_lessequals @t5 @t5 @t1)) % 6.31/6.53 (define @t433 () (not (tptp.class_Orderings_Opreorder @t1))) % 6.31/6.53 (define @t434 () (not (tptp.class_Orderings_Oorder @t1))) % 6.31/6.53 (define @t435 () (tptp.c_lessequals @t91 @t16 @t14)) % 6.31/6.53 (define @t436 () (tptp.hAPP @t26 @t72)) % 6.31/6.53 (define @t437 () (tptp.c_Transitive__Closure_Ortrancl @t119 @t1)) % 6.31/6.53 (define @t438 () (tptp.c_lessequals @t306 @t437 @t97)) % 6.31/6.53 (define @t439 () (= @t5 @t3)) % 6.31/6.53 (define @t440 () (@list @t72 @t74 @t1 @t24 @t116)) % 6.31/6.53 (define @t441 () (tptp.c_Set_Oinsert @t3 @t18 @t1)) % 6.31/6.53 (define @t442 () (tptp.hBOOL (tptp.hAPP @t441 @t5))) % 6.31/6.53 (define @t443 () (= @t3 @t5)) % 6.31/6.53 (define @t444 () (tptp.c_Set_Oinsert @t74 @t16 @t1)) % 6.31/6.53 (define @t445 () (not @t435)) % 6.31/6.53 (define @t446 () (@var "V_s_H" $$unsorted)) % 6.31/6.53 (define @t447 () (@var "V_R2" $$unsorted)) % 6.31/6.53 (define @t448 () (@var "V_R1" $$unsorted)) % 6.31/6.53 (define @t449 () (tptp.c_Relation_ORange @t116 @t24 @t1)) % 6.31/6.53 (define @t450 () (@var "V_g" $$unsorted)) % 6.31/6.53 (define @t451 () (tptp.c_in @t72 (tptp.c_Set_Oinsert @t74 @t18 @t1) @t1)) % 6.31/6.53 (define @t452 () (@var "V_t" $$unsorted)) % 6.31/6.53 (define @t453 () (or (= @t279 @t116) @t275)) % 6.31/6.53 (define @t454 () (forall @t197 @t453)) % 6.31/6.53 (define @t455 () (tptp.c_Relation_Otrans @t313 @t1)) % 6.31/6.53 (define @t456 () (tptp.c_Relation_Oinv__image @t116 @t26 @t1 @t24)) % 6.31/6.53 (define @t457 () (@list @t116 @t26 @t1 @t24)) % 6.31/6.53 (define @t458 () (not (tptp.c_in @t414 @t116 @t96))) % 6.31/6.53 (define @t459 () (@list @t414 @t116 @t1)) % 6.31/6.53 (define @t460 () (tptp.c_Pair @t74 @t82 @t1 @t1)) % 6.31/6.53 (define @t461 () (not (tptp.c_in @t460 @t306 @t96))) % 6.31/6.53 (define @t462 () (tptp.c_Pair @t72 @t82 @t1 @t1)) % 6.31/6.53 (define @t463 () (tptp.c_in @t462 @t279 @t96)) % 6.31/6.53 (define @t464 () (@list @t72 @t82 @t1 @t116 @t74)) % 6.31/6.53 (define @t465 () (not (tptp.c_in @t460 @t116 @t96))) % 6.31/6.53 (define @t466 () (forall @t464 (or @t463 @t465 @t404))) % 6.31/6.53 (define @t467 () (tptp.c_in @t383 @t101 @t96)) % 6.31/6.53 (define @t468 () (@list @t5 @t3 @t1 @t44)) % 6.31/6.53 (define @t469 () (not @t467)) % 6.31/6.53 (define @t470 () (tptp.c_in @t250 @t306 @t96)) % 6.31/6.53 (define @t471 () (tptp.c_Transitive__Closure_Ortrancl @t313 @t1)) % 6.31/6.53 (define @t472 () (tptp.c_in @t383 @t471 @t96)) % 6.31/6.53 (define @t473 () (tptp.c_Pair @t5 @t2 @t1 @t1)) % 6.31/6.53 (define @t474 () (tptp.c_Pair @t3 @t2 @t1 @t1)) % 6.31/6.53 (define @t475 () (tptp.c_in @t285 @t279 @t96)) % 6.31/6.53 (define @t476 () (not @t475)) % 6.31/6.53 (define @t477 () (@list @t72 @t74 @t1 @t116)) % 6.31/6.53 (define @t478 () (@list @t5 @t2 @t1 @t116 @t3)) % 6.31/6.53 (define @t479 () (tptp.c_Transitive__Closure_Otrancl @t313 @t1)) % 6.31/6.53 (define @t480 () (tptp.c_in @t383 @t479 @t96)) % 6.31/6.53 (define @t481 () (tptp.c_Relation_Oconverse @t279 @t1 @t1)) % 6.31/6.53 (define @t482 () (tptp.c_in @t383 @t481 @t96)) % 6.31/6.53 (define @t483 () (tptp.hAPP @t436 @t74)) % 6.31/6.53 (define @t484 () (tptp.c_Pair @t72 @t74 @t24 @t221)) % 6.31/6.53 (define @t485 () (tptp.c_split @t26 @t1 @t24 @t221)) % 6.31/6.53 (define @t486 () (tptp.c_in @t418 @t28 @t1)) % 6.31/6.53 (define @t487 () (@var "T_aa" $$unsorted)) % 6.31/6.53 (define @t488 () (tptp.c_in @t5 @t354 @t1)) % 6.31/6.53 (define @t489 () (@list @t5 @t116 @t1)) % 6.31/6.53 (define @t490 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t42 @t116 @t1)) % 6.31/6.53 (define @t491 () (tptp.c_Wellfounded_Oacc @t116 tptp.t_a)) % 6.31/6.53 (define @t492 () (not (tptp.c_in @t5 @t491 tptp.t_a))) % 6.31/6.53 (define @t493 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t42 @t116)) % 6.31/6.53 (define @t494 () (@list @t42 @t5 @t116)) % 6.31/6.53 (define @t495 () (tptp.c_Relation_Osym @t313 @t1)) % 6.31/6.53 (define @t496 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t18 @t74 @t116 @t24 @t1)) % 6.31/6.53 (define @t497 () (tptp.c_Relation_Orefl__on @t18 @t313 @t1)) % 6.31/6.53 (define @t498 () (tptp.c_Wellfounded_Owf @t364 @t1)) % 6.31/6.53 (define @t499 () (= @t313 @t116)) % 6.31/6.53 (define @t500 () (tptp.c_Relation_Orel__comp @t116 @t306 @t1 @t1 @t1)) % 6.31/6.53 (define @t501 () (@var "T_d" $$unsorted)) % 6.31/6.53 (define @t502 () (= @t406 @t116)) % 6.31/6.53 (define @t503 () (tptp.c_Relation_Oconverse @t116 @t1 @t24)) % 6.31/6.53 (define @t504 () (@list @t116 @t1 @t24)) % 6.31/6.53 (define @t505 () (not (tptp.c_in @t37 @t43 @t1))) % 6.31/6.53 (define @t506 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t43 @t116 @t1)) % 6.31/6.53 (define @t507 () (not @t428)) % 6.31/6.53 (define @t508 () (tptp.c_Relation_Oantisym @t313 @t1)) % 6.31/6.53 (define @t509 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t42 @t116)) % 6.31/6.53 (define @t510 () (not (tptp.c_in @t5 @t43 @t1))) % 6.31/6.53 (define @t511 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t43 @t44 @t1)) % 6.31/6.53 (define @t512 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t116 @t5 @t1)) % 6.31/6.53 (define @t513 () (@var "V_r1" $$unsorted)) % 6.31/6.53 (define @t514 () (@var "V_r2" $$unsorted)) % 6.31/6.53 (define @t515 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t513 @t514 @t26 @t1 @t24 @t221))) % 6.31/6.53 (define @t516 () (tptp.c_Relation_ODomain @t206 @t1 @t24)) % 6.31/6.53 (define @t517 () (@list @t116 @t24 @t1)) % 6.31/6.53 (define @t518 () (tptp.c_Relation_Ototal__on @t18 @t313 @t1)) % 6.31/6.53 (define @t519 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 6.31/6.53 (define @t520 () (@list @t42 @t5 @t3 @t116)) % 6.31/6.53 (define @t521 () (not (tptp.c_in @t3 @t43 @t1))) % 6.31/6.53 (define @t522 () (tptp.c_Pair @t74 @t72 @t1 @t1)) % 6.31/6.53 (define @t523 () (not (tptp.c_in @t522 @t306 @t96))) % 6.31/6.53 (define @t524 () (tptp.c_in @t74 @t354 @t1)) % 6.31/6.53 (define @t525 () (@list @t74 @t116 @t1 @t72)) % 6.31/6.53 (define @t526 () (@var "V_ya" $$unsorted)) % 6.31/6.53 (define @t527 () (tptp.c_in @t526 @t491 tptp.t_a)) % 6.31/6.53 (define @t528 () (@list @t42 @t5 @t526 @t116)) % 6.31/6.53 (define @t529 () (tptp.c_in @t280 @t101 @t96)) % 6.31/6.53 (define @t530 () (tptp.c_in @t5 (tptp.c_Relation_ODomain @t44 @t1 @t1) @t1)) % 6.31/6.53 (define @t531 () (tptp.c_in @t72 @t426 @t1)) % 6.31/6.53 (define @t532 () (not @t531)) % 6.31/6.53 (define @t533 () (@list @t72 @t116 @t1 @t24)) % 6.31/6.53 (define @t534 () (tptp.c_in @t72 @t449 @t1)) % 6.31/6.53 (define @t535 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 @t116 @t1)) % 6.31/6.53 (define @t536 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 @t116 @t1)) % 6.31/6.53 (define @t537 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 @t116 @t1)) % 6.31/6.53 (define @t538 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 @t116 @t1)) % 6.31/6.53 (define @t539 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 @t116 @t1)) % 6.31/6.53 (define @t540 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 @t116 @t1)) % 6.31/6.53 (define @t541 () (@var "V_z1" $$unsorted)) % 6.31/6.53 (define @t542 () (@var "V_y1" $$unsorted)) % 6.31/6.53 (define @t543 () (tptp.tc_prod @t24 @t24)) % 6.31/6.53 (define @t544 () (@var "V_z2" $$unsorted)) % 6.31/6.53 (define @t545 () (@var "V_y2" $$unsorted)) % 6.31/6.53 (define @t546 () (tptp.c_Pair @t5 @t3 @t1 @t24)) % 6.31/6.53 (define @t547 () (= @t3 @t2)) % 6.31/6.53 (define @t548 () (tptp.c_Pair @t5 @t72 @t1 @t1)) % 6.31/6.53 (define @t549 () (not (tptp.c_in @t548 @t116 @t96))) % 6.31/6.53 (define @t550 () (tptp.c_in @t546 @t44 @t67)) % 6.31/6.53 (define @t551 () (tptp.c_FunDef_Oin__rel @t44 @t5 @t3 @t1 @t24)) % 6.31/6.53 (define @t552 () (tptp.c_Pair @t74 @t72 @t24 @t1)) % 6.31/6.53 (define @t553 () (tptp.c_in @t552 @t116 @t50)) % 6.31/6.53 (define @t554 () (tptp.c_in @t161 @t206 @t67)) % 6.31/6.53 (define @t555 () (not (tptp.c_in @t161 @t116 @t67))) % 6.31/6.53 (define @t556 () (@list @t74 @t72 @t24 @t1 @t116)) % 6.31/6.53 (define @t557 () (tptp.c_in @t280 @t116 @t96)) % 6.31/6.53 (define @t558 () (not (tptp.c_in @t460 @t279 @t96))) % 6.31/6.53 (define @t559 () (tptp.c_in @t462 @t306 @t96)) % 6.31/6.53 (define @t560 () (tptp.c_Pair @t72 @t72 @t1 @t1)) % 6.31/6.53 (define @t561 () (@list @t72 @t1 @t116)) % 6.31/6.53 (define @t562 () (tptp.c_in @t250 @t116 @t96)) % 6.31/6.53 (define @t563 () (not @t562)) % 6.31/6.53 (define @t564 () (tptp.c_in @t522 @t116 @t96)) % 6.31/6.53 (define @t565 () (not (tptp.c_in @t474 @t116 @t96))) % 6.31/6.53 (define @t566 () (tptp.hAPP @t26 @t3)) % 6.31/6.53 (define @t567 () (not (tptp.c_in @t383 @t368 @t96))) % 6.31/6.53 (define @t568 () (tptp.c_in @t560 @t116 @t96)) % 6.31/6.53 (define @t569 () (tptp.c_in (tptp.c_Pair @t418 @t566 @t24 @t24) @t116 @t543)) % 6.31/6.53 (define @t570 () (tptp.c_in @t383 (tptp.c_Relation_Oinv__image @t116 @t26 @t24 @t1) @t96)) % 6.31/6.53 (define @t571 () (= @t5 @t2)) % 6.31/6.53 (define @t572 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t573 () (@var "V_L" $$unsorted)) % 6.31/6.53 (define @t574 () (tptp.c_Pair @t5 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t575 () (tptp.c_in @t574 @t573 @t572)) % 6.31/6.53 (define @t576 () (not @t575)) % 6.31/6.53 (define @t577 () (tptp.c_in @t574 (tptp.c_Arrow__Order__Mirabelle_Omktop @t573 @t2) @t572)) % 6.31/6.53 (define @t578 () (@list @t5 @t3 @t573 @t2)) % 6.31/6.53 (define @t579 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t573 @t5)) % 6.31/6.53 (define @t580 () (tptp.c_Pair @t5 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t581 () (@list @t5 @t573)) % 6.31/6.53 (define @t582 () (@list @t5 @t3 @t573)) % 6.31/6.53 (define @t583 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t573 @t5)) % 6.31/6.53 (define @t584 () (tptp.c_Pair @t37 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t585 () (@list @t37 @t5 @t573)) % 6.31/6.53 (define @t586 () (tptp.c_in @t574 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t573 @t2) @t572)) % 6.31/6.53 (define @t587 () (= @t37 @t5)) % 6.31/6.53 (define @t588 () (tptp.c_in @t74 (tptp.hAPP @t16 @t72) @t24)) % 6.31/6.53 (define @t589 () (tptp.c_in @t161 @t291 @t67)) % 6.31/6.53 (define @t590 () (@list @t3 @t18 @t1 @t5 @t116)) % 6.31/6.53 (define @t591 () (@list @t5 @t18 @t1 @t3 @t116)) % 6.31/6.53 (define @t592 () (not @t589)) % 6.31/6.53 (define @t593 () (@var "V_b_H" $$unsorted)) % 6.31/6.53 (define @t594 () (@var "V_a_H" $$unsorted)) % 6.31/6.53 (define @t595 () (not (= @t161 (tptp.c_Pair @t594 @t593 @t1 @t24)))) % 6.31/6.53 (define @t596 () (@list @t72 @t74 @t1 @t24 @t594 @t593)) % 6.31/6.53 (define @t597 () (tptp.hBOOL (tptp.hAPP @t49 @t5))) % 6.31/6.53 (define @t598 () (tptp.c_in @t5 @t49 @t1)) % 6.31/6.53 (define @t599 () (tptp.hAPP tptp.v_P @t5)) % 6.31/6.53 (define @t600 () (@var "V_xb" $$unsorted)) % 6.31/6.53 (define @t601 () (tptp.v_F tptp.v_P)) % 6.31/6.53 (define @t602 () (tptp.c_Pair tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t603 () (tptp.c_in @t602 @t601 @t572)) % 6.31/6.53 (define @t604 () (tptp.c_Relation_Otrans @t601 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t605 () (tptp.hAPP tptp.v_P tptp.v_i)) % 6.31/6.53 (define @t606 () (tptp.c_in @t602 @t605 @t572)) % 6.31/6.53 (define @t607 () (tptp.c_in (tptp.c_Pair @t37 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t599 @t572)) % 6.31/6.53 (define @t608 () (tptp.c_in (tptp.c_Pair @t3 @t37 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t599 @t572)) % 6.31/6.53 (define @t609 () (or @t608 @t607 @t38)) % 6.31/6.53 (define @t610 () (forall (@list @t3 @t37 @t5) @t609)) % 6.31/6.53 (define @t611 () (tptp.c_Pair @t72 @t74 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t612 () (not (tptp.c_in @t611 @t605 @t572))) % 6.31/6.53 (define @t613 () (tptp.c_in @t611 @t601 @t572)) % 6.31/6.53 (define @t614 () (or @t613 @t612 @t201)) % 6.31/6.53 (define @t615 () (forall (@list @t72 @t74) @t614)) % 6.31/6.53 (define @t616 () (@var "T_1" $$unsorted)) % 6.31/6.53 (define @t617 () (not (tptp.class_Lattices_Olattice @t616))) % 6.31/6.53 (define @t618 () (@var "T_2" $$unsorted)) % 6.31/6.53 (define @t619 () (tptp.tc_fun @t618 @t616)) % 6.31/6.53 (define @t620 () (@list @t618 @t616)) % 6.31/6.53 (define @t621 () (@var "V_Y" $$unsorted)) % 6.31/6.53 (define @t622 () (@var "V_X" $$unsorted)) % 6.31/6.53 (define @t623 () (not @t604)) % 6.31/6.53 (define @t624 () (tptp.c_Transitive__Closure_Otrancl @t601 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t625 () (= @t601 @t624)) % 6.31/6.53 (define @t626 () (or @t625 @t623)) % 6.31/6.53 (define @t627 () (@list false false)) % 6.31/6.53 (define @t628 () (tptp.c_in @t602 @t624 @t572)) % 6.31/6.53 (define @t629 () (not @t628)) % 6.31/6.53 (define @t630 () (tptp.c_in @t602 (tptp.c_Transitive__Closure_Ortrancl @t601 tptp.tc_Arrow__Order__Mirabelle_Oalt) @t572)) % 6.31/6.53 (define @t631 () (or @t630 @t629)) % 6.31/6.53 (define @t632 () (tptp.c_Pair tptp.v_a tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t633 () (tptp.c_in @t632 @t624 @t572)) % 6.31/6.53 (define @t634 () (tptp.c_FunDef_Oin__rel @t601 tptp.v_b tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t635 () (not @t634)) % 6.31/6.53 (define @t636 () (tptp.c_in (tptp.c_Pair tptp.v_b tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t601 @t572)) % 6.31/6.53 (define @t637 () (or @t636 @t635)) % 6.31/6.53 (define @t638 () (@list true false)) % 6.31/6.53 (define @t639 () (not @t603)) % 6.31/6.53 (define @t640 () (tptp.c_FunDef_Oin__rel @t601 tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t641 () (or @t640 @t639)) % 6.31/6.53 (define @t642 () (= tptp.v_a tptp.v_b)) % 6.31/6.53 (define @t643 () (not @t642)) % 6.31/6.53 (define @t644 () (not @t640)) % 6.31/6.53 (define @t645 () (and @t635 @t642 @t640)) % 6.31/6.53 (define @t646 () (tptp.c_Pair tptp.v_b tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (define @t647 () (tptp.c_in @t646 @t605 @t572)) % 6.31/6.53 (define @t648 () (or @t606 @t647 @t642)) % 6.31/6.53 (define @t649 () (not @t647)) % 6.31/6.53 (define @t650 () (tptp.c_in @t646 @t601 @t572)) % 6.31/6.53 (define @t651 () (or @t650 @t649 @t642)) % 6.31/6.53 (define @t652 () (not @t630)) % 6.31/6.53 (define @t653 () (not @t650)) % 6.31/6.53 (define @t654 () (or @t633 @t653 @t652)) % 6.31/6.53 (define @t655 () (not @t654)) % 6.31/6.53 (assume @p1 (forall @t10 (or @t9 @t8))) % 6.31/6.53 (assume @p2 (forall @t10 (or @t9 @t12))) % 6.31/6.53 (assume @p3 (forall @t10 (or @t13 @t12))) % 6.31/6.53 (assume @p4 (forall @t10 (or @t13 @t8))) % 6.31/6.53 (assume @p5 (forall @t21 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t15 @t14) @t19))) % 6.31/6.53 (assume @p6 (forall @t23 (= @t19 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t22 @t14)))) % 6.31/6.53 (assume @p7 (forall (@list @t26 @t18 @t24 @t1 @t16) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t28 @t27 @t14) (tptp.c_Set_Oimage @t26 (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t25) @t24 @t1) @t14))) % 6.31/6.53 (assume @p8 (forall (@list @t26 @t24 @t1) (= @t31 @t29))) % 6.31/6.53 (assume @p9 (forall (@list @t1 @t5 @t33 @t32) (or @t36 (not (= @t35 @t34)) (= @t33 @t32)))) % 6.31/6.53 (assume @p10 (forall (@list @t1 @t37 @t3 @t5) (or @t36 (not (= (tptp.c_HOL_Ominus__class_Ominus @t37 @t3 @t1) @t35)) @t38))) % 6.31/6.53 (assume @p11 (forall (@list @t37 @t5 @t1) (= (tptp.c_Set_Oinsert @t37 @t39 @t1) (tptp.c_Set_Oinsert @t5 (tptp.c_Set_Oinsert @t37 @t29 @t1) @t1)))) % 6.31/6.53 (assume @p12 (forall @t41 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t16 @t14) @t40))) % 6.31/6.53 (assume @p13 (forall (@list @t42 @t1 @t24 @t43) (= (tptp.hAPP (tptp.c_COMBK @t42 @t1 @t24) @t43) @t42))) % 6.31/6.53 (assume @p14 (forall @t48 (= (tptp.c_Relation_OImage @t44 @t47 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t45 @t14)))) % 6.31/6.53 (assume @p15 (forall (@list @t44 @t49 @t24 @t1 @t18) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t49 @t51) @t18 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 (tptp.c_Relation_OImage @t49 @t18 @t24 @t1) @t14)))) % 6.31/6.53 (assume @p16 (forall @t52 (or @t13 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t5 @t1) @t5)))) % 6.31/6.53 (assume @p17 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t14) @t18))) % 6.31/6.53 (assume @p18 (forall @t56 (or @t55 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t5 @t1) @t1))))) % 6.31/6.53 (assume @p19 (forall @t10 (or @t55 (= @t60 @t59)))) % 6.31/6.53 (assume @p20 (forall @t23 (= @t63 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t61 @t14)))) % 6.31/6.53 (assume @p21 (forall @t66 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t18 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t64 @t14)))) % 6.31/6.53 (assume @p22 (forall (@list @t18 @t1 @t24 @t16) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t70 @t69 @t14) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t68) @t1 @t24) @t14))) % 6.31/6.53 (assume @p23 (forall @t41 (or @t71 (= @t40 @t18)))) % 6.31/6.53 (assume @p24 (forall (@list @t74 @t72 @t1) (or (= @t74 @t72) (not (tptp.c_in @t74 @t73 @t1))))) % 6.31/6.53 (assume @p25 (forall @t79 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t77 @t75 @t14) @t15 @t1 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t78 @t76 @t68)))) % 6.31/6.53 (assume @p26 (forall (@list @t82 @t24 @t1 @t18 @t5) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t82 @t24 @t1) @t18 @t1 @t24) (tptp.c_Set_Oinsert @t82 @t30 @t24)) @t81))) % 6.31/6.53 (assume @p27 (forall (@list @t18 @t5 @t1 @t16) (or @t86 @t81 @t85))) % 6.31/6.53 (assume @p28 (forall @t88 (or @t84 @t81 @t87))) % 6.31/6.53 (assume @p29 (forall @t93 (or (= @t92 @t40) @t90))) % 6.31/6.53 (assume @p30 (forall (@list @t18 @t24 @t1 @t16) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t95 @t94 @t14) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t51) @t24 @t1) @t14))) % 6.31/6.53 (assume @p31 (forall @t103 (tptp.c_lessequals @t102 @t99 @t97))) % 6.31/6.53 (assume @p32 (forall (@list @t1 @t26 @t18 @t24) (or (not (= @t29 @t28)) @t104))) % 6.31/6.53 (assume @p33 (forall @t106 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t15 @t14) (tptp.c_Set_Oinsert @t72 @t17 @t1)))) % 6.31/6.53 (assume @p34 (forall @t107 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t105 @t14) (tptp.c_Set_Oinsert @t72 @t20 @t1)))) % 6.31/6.53 (assume @p35 (forall @t108 (tptp.c_lessequals @t29 @t18 @t14))) % 6.31/6.53 (assume @p36 (forall @t52 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t109 @t5 @t1)))) % 6.31/6.53 (assume @p37 (forall @t107 (= @t110 (tptp.c_HOL_Ominus__class_Ominus @t40 @t73 @t14)))) % 6.31/6.53 (assume @p38 (forall @t107 (= @t110 (tptp.c_HOL_Ominus__class_Ominus @t111 @t16 @t14)))) % 6.31/6.53 (assume @p39 (forall @t113 (not (= @t112 @t29)))) % 6.31/6.53 (assume @p40 (forall (@list @t72 @t18 @t1 @t16) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t112 @t105 @t14) @t114))) % 6.31/6.53 (assume @p41 (forall @t115 (= (tptp.c_Relation_OImage @t44 @t30 @t24 @t1) @t29))) % 6.31/6.53 (assume @p42 (forall @t122 (or (tptp.c_Relation_Osym @t121 @t1) @t120 @t118))) % 6.31/6.53 (assume @p43 (forall @t123 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t16 @t68) @t1 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t70 @t69 @t14) @t14))) % 6.31/6.53 (assume @p44 (forall @t52 (or @t124 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t109 @t1) @t109)))) % 6.31/6.53 (assume @p45 (forall @t52 (or @t124 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t109 @t5 @t1) @t109)))) % 6.31/6.53 (assume @p46 (forall @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t16 @t14) @t29))) % 6.31/6.53 (assume @p47 (forall @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t29 @t14) @t29))) % 6.31/6.53 (assume @p48 (forall @t127 (tptp.c_lessequals (tptp.c_Set_Oimage @t26 @t126 @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t27 @t14) @t14))) % 6.31/6.53 (assume @p49 (forall @t48 (tptp.c_lessequals @t129 @t128 @t14))) % 6.31/6.53 (assume @p50 (forall @t21 (or (not @t131) @t130))) % 6.31/6.53 (assume @p51 (forall @t21 (or @t131 @t132))) % 6.31/6.53 (assume @p52 (forall @t79 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t77 @t75 @t14) @t15 @t1 @t24) (tptp.c_HOL_Ominus__class_Ominus @t78 @t76 @t68)))) % 6.31/6.53 (assume @p53 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t29 @t14) @t18))) % 6.31/6.53 (assume @p54 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t18 @t14) @t29))) % 6.31/6.53 (assume @p55 (forall @t136 (or @t135 @t134 (not @t133)))) % 6.31/6.53 (assume @p56 (forall @t138 (or @t133 @t137))) % 6.31/6.53 (assume @p57 (forall @t138 (or @t133 @t139))) % 6.31/6.53 (assume @p58 (forall @t143 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t142 (tptp.c_Relation_ORange @t119 @t1 @t1) @t14) @t29)) (not (tptp.c_Wellfounded_Owf @t119 @t1)) @t141 (tptp.c_Wellfounded_Owf @t121 @t1)))) % 6.31/6.53 (assume @p59 (forall @t147 (= (tptp.c_Product__Type_OSigma @t62 @t144 @t1 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t146 @t145 @t68)))) % 6.31/6.53 (assume @p60 (forall @t151 (or (tptp.c_Relation_Orefl__on @t20 @t121 @t1) @t150 @t149))) % 6.31/6.53 (assume @p61 (forall @t10 (or @t9 @t154))) % 6.31/6.53 (assume @p62 (forall @t10 (or @t9 @t155))) % 6.31/6.53 (assume @p63 (forall @t10 (or @t156 @t155))) % 6.31/6.53 (assume @p64 (forall @t10 (or @t156 @t154))) % 6.31/6.53 (assume @p65 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t15 @t14) @t158))) % 6.31/6.53 (assume @p66 (forall @t23 (= @t158 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t61 @t14)))) % 6.31/6.53 (assume @p67 (forall @t52 (or @t124 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t109 @t1) @t5)))) % 6.31/6.53 (assume @p68 (forall @t52 (or @t124 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t109 @t5 @t1) @t5)))) % 6.31/6.53 (assume @p69 (forall @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t16 @t14) @t16))) % 6.31/6.53 (assume @p70 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t29 @t14) @t18))) % 6.31/6.53 (assume @p71 (forall @t108 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t18 @t14) @t29))) % 6.31/6.53 (assume @p72 (forall (@list @t72 @t18 @t1 @t74 @t16 @t24) (= (tptp.c_Product__Type_OSigma @t112 @t160 @t1 @t24) (tptp.c_Set_Oinsert @t161 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t18 @t160 @t1 @t24) (tptp.c_Product__Type_OSigma @t112 @t159 @t1 @t24) @t68) @t67)))) % 6.31/6.53 (assume @p73 (forall @t52 (not (tptp.hBOOL (tptp.hAPP @t29 @t5))))) % 6.31/6.53 (assume @p74 (forall @t162 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t40 @t14) (tptp.c_HOL_Ominus__class_Ominus @t64 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t16 @t14) @t14)))) % 6.31/6.53 (assume @p75 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t15 @t14) @t163))) % 6.31/6.53 (assume @p76 (forall @t41 (or (= @t62 @t18) @t165))) % 6.31/6.53 (assume @p77 (forall @t41 (or (= @t62 @t16) @t166))) % 6.31/6.53 (assume @p78 (forall @t170 (or @t156 @t169 @t168))) % 6.31/6.53 (assume @p79 (forall @t170 (or @t156 (not @t169) @t167))) % 6.31/6.53 (assume @p80 (forall @t170 (or @t156 (= @t58 @t3) @t172))) % 6.31/6.53 (assume @p81 (forall @t21 (or @t177 @t176 @t174))) % 6.31/6.53 (assume @p82 (forall @t178 (tptp.c_lessequals @t16 @t20 @t14))) % 6.31/6.53 (assume @p83 (forall @t41 (tptp.c_lessequals @t18 @t20 @t14))) % 6.31/6.53 (assume @p84 (forall @t185 (or @t13 @t184 @t182 @t180))) % 6.31/6.53 (assume @p85 (forall @t170 (or @t13 @t186))) % 6.31/6.53 (assume @p86 (forall @t188 (or @t13 @t187))) % 6.31/6.53 (assume @p87 (forall @t56 (or @t13 (tptp.c_lessequals @t4 @t5 @t1) (not @t189) @t172))) % 6.31/6.53 (assume @p88 (forall @t10 (or @t13 @t194 @t193 @t191))) % 6.31/6.53 (assume @p89 (forall @t188 (or @t9 @t187))) % 6.31/6.53 (assume @p90 (forall @t170 (or @t9 @t186))) % 6.31/6.53 (assume @p91 (forall @t41 (= @t62 @t65))) % 6.31/6.53 (assume @p92 (forall @t170 (or @t156 @t195))) % 6.31/6.53 (assume @p93 (forall @t170 (or @t9 @t195))) % 6.31/6.53 (assume @p94 (forall @t197 (or @t196 @t141))) % 6.31/6.53 (assume @p95 (forall @t41 (or (= @t199 @t16) @t165))) % 6.31/6.53 (assume @p96 (forall @t10 (or @t9 (tptp.c_lessequals @t59 @t60 @t1)))) % 6.31/6.53 (assume @p97 (forall @t41 (tptp.c_lessequals @t40 @t18 @t14))) % 6.31/6.53 (assume @p98 (forall @t113 (= @t200 @t112))) % 6.31/6.53 (assume @p99 (forall (@list @t72 @t1 @t74) (or (not (= @t73 @t202)) @t201))) % 6.31/6.53 (assume @p100 (forall @t21 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t157 @t14) @t64 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t17 @t14) @t203 @t14)))) % 6.31/6.53 (assume @p101 (forall (@list @t82 @t1 @t24) (= (tptp.c_Set_Oimage @t204 @t30 @t24 @t1) @t29))) % 6.31/6.53 (assume @p102 (forall (@list @t5 @t37 @t1) (or (not (= (tptp.c_Set_Oinsert @t5 @t37 @t1) @t29)) (tptp.c_in @t5 @t37 @t1)))) % 6.31/6.53 (assume @p103 (forall @t79 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t77 @t75 @t14) @t15 @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t78 @t76 @t68)))) % 6.31/6.53 (assume @p104 (forall @t207 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t119 @t51) @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t206 @t205 @t68)))) % 6.31/6.53 (assume @p105 (forall @t107 (or (= @t209 @t62) @t208))) % 6.31/6.53 (assume @p106 (forall @t106 (or (= @t211 @t157) @t210))) % 6.31/6.53 (assume @p107 (forall @t215 (or @t214 @t213))) % 6.31/6.53 (assume @p108 (forall @t41 (or @t216 (= @t16 @t29)))) % 6.31/6.53 (assume @p109 (forall @t41 (or @t216 @t217))) % 6.31/6.53 (assume @p110 (forall @t219 (or @t124 @t218 (= @t18 @t109)))) % 6.31/6.53 (assume @p111 (forall @t219 (or @t124 @t218 (= @t16 @t109)))) % 6.31/6.53 (assume @p112 (forall @t178 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t198 @t18 @t14) @t220))) % 6.31/6.53 (assume @p113 (forall @t41 (= @t199 @t20))) % 6.31/6.53 (assume @p114 (forall (@list @t49 @t222 @t1 @t221 @t44 @t24) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t222 @t224) @t44 @t1 @t221 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t49 @t44 @t1 @t221 @t24) (tptp.c_Relation_Orel__comp @t222 @t44 @t1 @t221 @t24) @t68)))) % 6.31/6.53 (assume @p115 (forall (@list @t44 @t49 @t222 @t221 @t24 @t1) (= (tptp.c_Relation_Orel__comp @t44 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t222 (tptp.tc_fun (tptp.tc_prod @t221 @t24) tptp.tc_bool)) @t1 @t221 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t44 @t49 @t1 @t221 @t24) (tptp.c_Relation_Orel__comp @t44 @t222 @t1 @t221 @t24) @t68)))) % 6.31/6.53 (assume @p116 (forall (@list @t15 @t16 @t1 @t18) (or @t227 @t226))) % 6.31/6.53 (assume @p117 (forall (@list @t15 @t18 @t1 @t16) (or @t130 @t226))) % 6.31/6.53 (assume @p118 (forall @t232 (or @t156 @t231 @t230))) % 6.31/6.53 (assume @p119 (forall (@list @t1 @t5 @t74 @t72) (or @t156 @t233 @t230))) % 6.31/6.53 (assume @p120 (forall @t185 (or @t156 @t234 @t180))) % 6.31/6.53 (assume @p121 (forall @t185 (or @t156 @t234 @t182))) % 6.31/6.53 (assume @p122 (forall @t10 (or @t156 @t167 @t236))) % 6.31/6.53 (assume @p123 (forall @t237 (or @t156 @t190 @t236))) % 6.31/6.53 (assume @p124 (forall @t21 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t15 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t239 @t238 @t14)))) % 6.31/6.53 (assume @p125 (forall @t41 (= @t20 @t220))) % 6.31/6.53 (assume @p126 (forall @t170 (or @t13 @t241))) % 6.31/6.53 (assume @p127 (forall @t170 (or @t9 @t241))) % 6.31/6.53 (assume @p128 (forall @t123 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t68) @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t70 @t69 @t14)))) % 6.31/6.53 (assume @p129 (forall @t113 (= @t112 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t18 @t14)))) % 6.31/6.53 (assume @p130 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t20 @t14) @t20))) % 6.31/6.53 (assume @p131 (forall @t170 (or @t13 @t242))) % 6.31/6.53 (assume @p132 (forall @t170 (or @t9 @t242))) % 6.31/6.53 (assume @p133 (forall (@list @t1 @t26 @t24) (= @t29 @t31))) % 6.31/6.53 (assume @p134 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t198 @t14) @t29))) % 6.31/6.53 (assume @p135 (forall @t243 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t16 @t51) @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t95 @t94 @t14) @t14))) % 6.31/6.53 (assume @p136 (forall @t103 (= (tptp.c_Transitive__Closure_Ortrancl @t102 @t1) @t99))) % 6.31/6.53 (assume @p137 (forall @t93 (or (= @t92 (tptp.c_Set_Oinsert @t5 @t40 @t1)) @t89))) % 6.31/6.53 (assume @p138 (forall @t88 (or @t84 @t165 @t87))) % 6.31/6.53 (assume @p139 (forall @t136 (or @t135 @t245))) % 6.31/6.53 (assume @p140 (forall @t88 (or @t134 @t245))) % 6.31/6.53 (assume @p141 (forall @t122 (or (tptp.c_Relation_Osym @t246 @t1) @t120 @t118))) % 6.31/6.53 (assume @p142 (forall @t247 (or (= (tptp.c_HOL_Ominus__class_Ominus @t91 @t39 @t14) @t18) @t80))) % 6.31/6.53 (assume @p143 (forall @t21 (or @t249 (not @t248)))) % 6.31/6.53 (assume @p144 (forall @t23 (or @t248 (not @t249)))) % 6.31/6.53 (assume @p145 (forall @t254 (or @t196 @t253))) % 6.31/6.53 (assume @p146 (forall @t260 (or @t259 @t258 @t256))) % 6.31/6.53 (assume @p147 (forall @t260 (or @t261 @t256))) % 6.31/6.53 (assume @p148 (forall @t260 (or @t261 @t258))) % 6.31/6.53 (assume @p149 (forall @t263 @t262)) % 6.31/6.53 (assume @p150 (forall @t265 (or @t264 @t262))) % 6.31/6.53 (assume @p151 (forall (@list @t82 @t1) (not (tptp.c_in @t82 @t29 @t1)))) % 6.31/6.53 (assume @p152 (forall @t266 (not (tptp.c_in @t72 @t29 @t1)))) % 6.31/6.53 (assume @p153 (forall @t267 (or @t257 @t255 (not @t261)))) % 6.31/6.53 (assume @p154 (forall @t267 (or @t258 @t269))) % 6.31/6.53 (assume @p155 (forall @t270 (or @t255 @t269))) % 6.31/6.53 (assume @p156 (forall @t267 (or @t257 @t271))) % 6.31/6.53 (assume @p157 (forall @t270 (or @t255 @t271))) % 6.31/6.53 (assume @p158 (forall @t265 (or @t272 @t262))) % 6.31/6.53 (assume @p159 (forall @t260 (or @t268 @t257 @t256))) % 6.31/6.53 (assume @p160 (forall @t274 (or @t273 @t213))) % 6.31/6.53 (assume @p161 (forall @t122 (or (tptp.c_Relation_Otrans @t246 @t1) (not (tptp.c_Relation_Otrans @t119 @t1)) @t275))) % 6.31/6.53 (assume @p162 (forall @t197 (tptp.c_Relation_Oirrefl @t277 @t1))) % 6.31/6.53 (assume @p163 (forall @t281 (or (not (tptp.c_in @t280 @t279 @t96)) @t278))) % 6.31/6.53 (assume @p164 (forall (@list @t72 @t74 @t1 @t116 @t5 @t18) (or @t286 (not (tptp.c_in @t5 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t284 @t283 @t14) @t1)) @t282))) % 6.31/6.53 (assume @p165 (forall (@list @t18 @t1 @t44) (or @t217 (not (tptp.c_lessequals @t18 (tptp.c_Relation_OImage @t44 @t18 @t1 @t1) @t14)) @t288))) % 6.31/6.53 (assume @p166 (forall @t293 (or @t292 (not (tptp.c_lessequals (tptp.hAPP @t16 @t290) (tptp.hAPP @t289 @t290) @t25)) @t174))) % 6.31/6.53 (assume @p167 (forall @t274 (or (tptp.c_lessequals @t279 @t294 @t97) @t296))) % 6.31/6.53 (assume @p168 (forall @t298 (or @t297 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t44 @t49 @t1 @t1 @t1) @t44 @t97)) (not (tptp.c_Wellfounded_Owf @t49 @t1)) @t288))) % 6.31/6.53 (assume @p169 (forall @t143 (or (tptp.c_lessequals @t279 @t119 @t97) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t279 @t119 @t97) @t116 @t1 @t1 @t1) @t119 @t97)) @t299))) % 6.31/6.53 (assume @p170 (forall @t300 (or @t295 @t282))) % 6.31/6.53 (assume @p171 (forall (@list @t116 @t119 @t1 @t24 @t221 @t18 @t15 @t16) (or (tptp.c_lessequals @t305 (tptp.c_Product__Type_OSigma @t18 (tptp.c_COMBK @t15 @t304 @t1) @t1 @t221) @t224) (not (tptp.c_lessequals @t119 (tptp.c_Product__Type_OSigma @t16 (tptp.c_COMBK @t15 @t304 @t24) @t24 @t221) @t303)) @t301))) % 6.31/6.53 (assume @p172 (forall @t197 (= @t307 @t306))) % 6.31/6.53 (assume @p173 (forall (@list @t82 @t1 @t24 @t18) (or (= (tptp.c_Set_Oimage @t204 @t18 @t24 @t1) (tptp.c_Set_Oinsert @t82 @t29 @t1)) @t104))) % 6.31/6.53 (assume @p174 (forall @t308 (or (tptp.c_lessequals @t40 (tptp.c_HOL_Ominus__class_Ominus @t15 @t289 @t14) @t14) (not (tptp.c_lessequals @t289 @t16 @t14)) @t174))) % 6.31/6.53 (assume @p175 (forall @t309 (or @t90 @t81 @t71))) % 6.31/6.53 (assume @p176 (forall @t10 (or @t9 (tptp.c_lessequals @t311 @t310 @t1)))) % 6.31/6.53 (assume @p177 (forall @t312 (= @t163 (tptp.c_HOL_Ominus__class_Ominus @t61 @t16 @t14)))) % 6.31/6.53 (assume @p178 (forall @t170 (or @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t58 @t1) @t5)))) % 6.31/6.53 (assume @p179 (forall @t197 (or @t196 (not @t314)))) % 6.31/6.53 (assume @p180 (forall @t197 (or @t314 @t278))) % 6.31/6.53 (assume @p181 (forall @t170 (or @t9 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t7 @t1) @t5)))) % 6.31/6.53 (assume @p182 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t62 @t14) @t18))) % 6.31/6.53 (assume @p183 (forall @t170 (or @t13 (= @t7 @t5) @t172))) % 6.31/6.53 (assume @p184 (forall @t170 (or @t13 (not @t315) @t167))) % 6.31/6.53 (assume @p185 (forall @t170 (or @t13 @t315 @t168))) % 6.31/6.53 (assume @p186 (forall @t41 (or @t316 @t165))) % 6.31/6.53 (assume @p187 (forall @t41 (or (= @t20 @t18) @t166))) % 6.31/6.53 (assume @p188 (forall @t41 (or (not @t316) @t164))) % 6.31/6.53 (assume @p189 (forall @t151 (or (tptp.c_Relation_Orefl__on @t62 @t246 @t1) @t150 @t149))) % 6.31/6.53 (assume @p190 (forall @t321 (or @t320 @t319 @t317))) % 6.31/6.53 (assume @p191 (forall @t321 (or @t320 @t322 @t317))) % 6.31/6.53 (assume @p192 (forall @t321 (or @t320 @t319 @t323))) % 6.31/6.53 (assume @p193 (forall @t321 (or @t320 @t322 @t323))) % 6.31/6.53 (assume @p194 (forall @t53 (or @t217 (not (tptp.c_lessequals @t18 @t29 @t14))))) % 6.31/6.53 (assume @p195 (forall @t324 (tptp.c_lessequals @t29 @t29 @t14))) % 6.31/6.53 (assume @p196 (forall (@list @t1 @t72 @t18) (not (= @t29 @t112)))) % 6.31/6.53 (assume @p197 (forall @t106 (or (= @t211 (tptp.c_Set_Oinsert @t72 @t157 @t1)) (not @t210)))) % 6.31/6.53 (assume @p198 (forall @t107 (or (= @t209 @t114) @t325))) % 6.31/6.53 (assume @p199 (forall (@list @t1 @t116) (tptp.c_Relation_Ototal__on @t29 @t116 @t1))) % 6.31/6.53 (assume @p200 (forall @t308 (or (tptp.c_lessequals @t20 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t289 @t14) @t14) @t326 @t174))) % 6.31/6.53 (assume @p201 (forall @t207 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t119 @t51) @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t206 @t205 @t68)))) % 6.31/6.53 (assume @p202 (forall @t170 (or @t9 @t327))) % 6.31/6.53 (assume @p203 (forall @t170 (or @t9 @t328))) % 6.31/6.53 (assume @p204 (forall @t10 (or @t156 @t235 @t191 @t168))) % 6.31/6.53 (assume @p205 (forall @t232 (or @t156 @t229 @t330 @t329))) % 6.31/6.53 (assume @p206 (forall @t170 (or @t156 @t328))) % 6.31/6.53 (assume @p207 (forall @t170 (or @t156 @t327))) % 6.31/6.53 (assume @p208 (forall @t41 (tptp.c_lessequals @t62 @t18 @t14))) % 6.31/6.53 (assume @p209 (forall @t41 (tptp.c_lessequals @t62 @t16 @t14))) % 6.31/6.53 (assume @p210 (forall @t162 (or @t225 (not @t227) @t132))) % 6.31/6.53 (assume @p211 (forall @t147 (= (tptp.c_Product__Type_OSigma @t20 @t144 @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t146 @t145 @t68)))) % 6.31/6.53 (assume @p212 (forall @t56 (or @t55 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t152 @t5 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t5 @t1) @t1))))) % 6.31/6.53 (assume @p213 (forall @t10 (or @t55 (= @t311 @t310)))) % 6.31/6.53 (assume @p214 (forall @t23 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t157 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t22 @t14)))) % 6.31/6.53 (assume @p215 (forall @t66 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t157 @t18 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t220 @t203 @t14)))) % 6.31/6.53 (assume @p216 (forall @t147 (= (tptp.c_Product__Type_OSigma @t40 @t144 @t1 @t24) (tptp.c_HOL_Ominus__class_Ominus @t146 @t145 @t68)))) % 6.31/6.53 (assume @p217 (forall @t170 (or @t9 @t331))) % 6.31/6.53 (assume @p218 (forall @t170 (or @t156 @t331))) % 6.31/6.53 (assume @p219 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t62 @t14) @t62))) % 6.31/6.53 (assume @p220 (forall @t243 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t51) @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t95 @t94 @t14)))) % 6.31/6.53 (assume @p221 (forall (@list @t116 @t332 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t332 @t97) @t1) @t141))) % 6.31/6.53 (assume @p222 (forall (@list @t332 @t116 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t332 @t116 @t97) @t1) @t141))) % 6.31/6.53 (assume @p223 (forall @t113 (or (= @t200 @t18) @t325))) % 6.31/6.53 (assume @p224 (forall @t52 (or @t156 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t5 @t1) @t5)))) % 6.31/6.53 (assume @p225 (forall @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t18 @t14) @t18))) % 6.31/6.53 (assume @p226 (forall @t56 (or @t13 @t192 @t333))) % 6.31/6.53 (assume @p227 (forall @t237 (or @t13 @t190 @t333))) % 6.31/6.53 (assume @p228 (forall @t232 (or @t13 @t334 @t330))) % 6.31/6.53 (assume @p229 (forall @t232 (or @t13 @t334 @t329))) % 6.31/6.53 (assume @p230 (forall (@list @t1 @t74 @t5 @t72) (or @t13 @t181 @t335))) % 6.31/6.53 (assume @p231 (forall (@list @t1 @t72 @t5 @t74) (or @t13 @t179 @t335))) % 6.31/6.53 (assume @p232 (forall @t312 (or @t173 @t336))) % 6.31/6.53 (assume @p233 (forall @t66 (or @t175 @t336))) % 6.31/6.53 (assume @p234 (forall @t143 (or @t196 @t299 (not (tptp.c_Wellfounded_Oacyclic @t119 @t1))))) % 6.31/6.53 (assume @p235 (forall (@list @t26 @t18 @t24 @t1) (or (not (= @t28 @t29)) @t104))) % 6.31/6.53 (assume @p236 (forall @t308 (or (tptp.c_lessequals @t62 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t289 @t14) @t14) @t326 @t174))) % 6.31/6.53 (assume @p237 (forall @t23 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t17 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t239 @t14)))) % 6.31/6.53 (assume @p238 (forall @t21 (= (tptp.c_HOL_Ominus__class_Ominus @t62 @t15 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t238 @t14)))) % 6.31/6.53 (assume @p239 (forall @t263 (tptp.c_in @t5 @t39 @t1))) % 6.31/6.53 (assume @p240 (forall (@list @t18 @t5 @t1) (or (= @t18 @t39) @t217 (not (tptp.c_lessequals @t18 @t39 @t14))))) % 6.31/6.53 (assume @p241 (forall @t23 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t157 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t239 @t14)))) % 6.31/6.53 (assume @p242 (forall @t138 (or @t244 @t137 @t139))) % 6.31/6.53 (assume @p243 (forall (@list @t16 @t15 @t18 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t16 (tptp.c_HOL_Ominus__class_Ominus @t15 @t18 @t14) @t14) @t18) @t176 @t165))) % 6.31/6.53 (assume @p244 (forall @t340 (or @t339 @t338 @t337 @t172))) % 6.31/6.53 (assume @p245 (forall @t340 (or @t339 @t338 @t171 (not @t337)))) % 6.31/6.53 (assume @p246 (forall @t324 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t29 @t14) @t29))) % 6.31/6.53 (assume @p247 (forall @t127 (= (tptp.c_Set_Oimage @t26 @t47 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t27 @t14)))) % 6.31/6.53 (assume @p248 (forall @t274 (or @t341 @t213))) % 6.31/6.53 (assume @p249 (forall @t347 (or (not (= @t346 @t345)) @t343 @t342))) % 6.31/6.53 (assume @p250 (forall @t351 (or (tptp.c_in @t350 @t18 @t24) @t349))) % 6.31/6.53 (assume @p251 (forall @t353 (or @t352 (not (tptp.c_in @t5 @t101 @t96))))) % 6.31/6.53 (assume @p252 (forall @t353 (or @t352 (not (tptp.c_in @t5 @t100 @t96))))) % 6.31/6.53 (assume @p253 (forall @t359 (or @t358 (tptp.c_in @t357 @t354 @t1) @t356))) % 6.31/6.53 (assume @p254 (forall @t363 (or (not (tptp.c_in @t362 @t360 @t1)) @t361))) % 6.31/6.53 (assume @p255 (forall @t359 (or @t358 (not (tptp.hBOOL (tptp.hAPP @t42 @t357))) @t356))) % 6.31/6.53 (assume @p256 (forall @t103 (or @t365 (not @t297)))) % 6.31/6.53 (assume @p257 (forall @t298 (or @t297 (not @t365)))) % 6.31/6.53 (assume @p258 (forall @t197 (= @t279 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 (tptp.c_Relation_Orel__comp @t279 @t116 @t1 @t1 @t1) @t97)))) % 6.31/6.53 (assume @p259 (forall @t366 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t101 @t276 @t97) @t101))) % 6.31/6.53 (assume @p260 (forall @t366 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t276 @t97) @t1) @t101))) % 6.31/6.53 (assume @p261 (forall @t197 (= (tptp.c_Transitive__Closure_Ortrancl @t277 @t1) @t306))) % 6.31/6.53 (assume @p262 (forall @t197 (or (tptp.c_Relation_Oantisym @t306 @t1) @t278))) % 6.31/6.53 (assume @p263 (forall @t197 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t313 @t97) @t1))) % 6.31/6.53 (assume @p264 (forall @t197 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t313 @t97) @t1))) % 6.31/6.53 (assume @p265 (forall @t197 (or (tptp.c_Relation_Otrans @t367 @t1) @t275))) % 6.31/6.53 (assume @p266 (forall (@list @t18 @t1 @t16) (= (tptp.c_Relation_OImage @t368 @t16 @t1 @t1) @t62))) % 6.31/6.53 (assume @p267 (forall @t197 (or @t370 (not @t369)))) % 6.31/6.53 (assume @p268 (forall @t197 (or @t369 @t371))) % 6.31/6.53 (assume @p269 (forall @t215 (or @t214 (not @t372)))) % 6.31/6.53 (assume @p270 (forall @t215 (or @t372 @t373))) % 6.31/6.53 (assume @p271 (forall @t197 (= (tptp.c_Transitive__Closure_Otrancl @t367 @t1) @t306))) % 6.31/6.53 (assume @p272 (forall @t197 (= @t306 @t307))) % 6.31/6.53 (assume @p273 (forall @t300 (or @t295 @t149))) % 6.31/6.53 (assume @p274 (forall @t197 (= @t306 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t276 @t374 @t97)))) % 6.31/6.53 (assume @p275 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a))) % 6.31/6.53 (assume @p276 (forall @t197 (or @t341 (tptp.c_in (tptp.c_Pair @t375 @t375 @t1 @t1) @t116 @t96)))) % 6.31/6.53 (assume @p277 (forall @t53 (tptp.c_lessequals @t368 @t294 @t97))) % 6.31/6.53 (assume @p278 (forall @t48 (or (= @t129 @t128) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t44 @t24 @t1) @t1 @t24))))) % 6.31/6.53 (assume @p279 (forall @t197 (or (tptp.c_Relation_Otrans @t277 @t1) @t371 @t275))) % 6.31/6.53 (assume @p280 (forall @t197 (or @t377 (not (tptp.c_in (tptp.c_Pair @t376 @t376 @t1 @t1) @t116 @t96))))) % 6.31/6.53 (assume @p281 (forall @t215 (or @t212 @t373 @t378 @t275))) % 6.31/6.53 (assume @p282 (forall @t351 (or (tptp.c_in (tptp.c_Pair @t350 @t74 @t24 @t1) @t116 @t50) @t349))) % 6.31/6.53 (assume @p283 (forall @t363 (or (tptp.c_in (tptp.c_Pair @t362 @t5 @t1 @t1) @t44 @t96) @t361))) % 6.31/6.53 (assume @p284 (forall @t380 (or @t358 @t379 (not (tptp.c_in (tptp.c_Pair @t3 @t357 @t1 @t1) @t116 @t96)) @t356))) % 6.31/6.53 (assume @p285 (forall @t347 (or @t382 (not @t381) @t343))) % 6.31/6.53 (assume @p286 (forall (@list @t18 @t16 @t24 @t15 @t1 @t5) (or @t381 (not @t382) @t343))) % 6.31/6.53 (assume @p287 (forall @t293 (or @t292 (tptp.c_in @t290 @t18 @t1) @t174))) % 6.31/6.53 (assume @p288 (forall @t386 (or @t385 @t253))) % 6.31/6.53 (assume @p289 (forall @t387 (or @t252 @t384 @t278))) % 6.31/6.53 (assume @p290 (forall (@list @t72 @t116 @t1 @t18) (or (tptp.c_in @t72 @t284 @t1) @t325 @t282))) % 6.31/6.53 (assume @p291 (forall (@list @t116 @t15 @t1 @t24 @t16 @t18) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t116 @t15 @t1 @t24) @t16 @t25) @t301))) % 6.31/6.53 (assume @p292 (forall @t143 (or (tptp.c_lessequals @t306 @t119 @t97) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t119 @t97) @t116 @t1 @t1 @t1) @t119 @t97)) (not (tptp.c_lessequals @t276 @t119 @t97))))) % 6.31/6.53 (assume @p293 (forall (@list @t74 @t116 @t72 @t24 @t1) (or @t390 (not @t389)))) % 6.31/6.53 (assume @p294 (forall @t391 (or @t389 (not @t390)))) % 6.31/6.53 (assume @p295 (forall @t395 (or @t394 @t393 @t282))) % 6.31/6.53 (assume @p296 (forall @t398 (or @t397 @t396 @t282))) % 6.31/6.53 (assume @p297 (forall @t398 (or (not @t397) @t286 @t399 @t282))) % 6.31/6.53 (assume @p298 (forall @t395 (or @t402 @t282 @t392 @t401 @t81))) % 6.31/6.53 (assume @p299 (forall @t395 (or @t394 @t393 @t401 @t81 @t282))) % 6.31/6.53 (assume @p300 (forall @t395 (or @t402 @t401 @t81 @t282 @t392))) % 6.31/6.53 (assume @p301 (forall (@list @t72 @t18 @t1 @t74 @t116) (or @t208 @t201 @t296 @t404))) % 6.31/6.53 (assume @p302 (forall @t398 (or (tptp.c_lessequals @t284 @t283 @t14) @t396 @t282))) % 6.31/6.53 (assume @p303 (forall (@list @t72 @t74 @t1 @t116 @t18) (or @t286 @t399 (not (tptp.c_lessequals @t283 @t284 @t14)) @t282))) % 6.31/6.53 (assume @p304 (forall @t387 (or @t405 @t384 @t141))) % 6.31/6.53 (assume @p305 (forall @t274 (or (tptp.c_lessequals @t116 @t406 @t97) @t149))) % 6.31/6.53 (assume @p306 (forall @t411 (or (tptp.c_in (tptp.c_Pair @t5 @t410 @t1 @t1) @t44 @t96) @t409))) % 6.31/6.53 (assume @p307 (forall @t413 (or (tptp.c_in (tptp.c_Pair @t412 @t3 @t1 @t1) @t44 @t96) @t409))) % 6.31/6.53 (assume @p308 (forall @t197 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t116 @t116 @t1 @t1 @t1) @t116 @t97) @t275))) % 6.31/6.53 (assume @p309 (forall (@list @t414 @t119 @t1 @t116) (or (tptp.c_in @t414 (tptp.c_Transitive__Closure_Otrancl @t119 @t1) @t96) @t299 (not @t415)))) % 6.31/6.53 (assume @p310 (forall @t254 (or @t140 @t416))) % 6.31/6.53 (assume @p311 (forall (@list @t26 @t5 @t16 @t1 @t18 @t24) (or (tptp.c_in @t418 @t16 @t1) @t417 (not (tptp.c_lessequals @t28 @t16 @t14))))) % 6.31/6.53 (assume @p312 (forall @t420 (or (= (tptp.c_Set_Oinsert @t418 @t419 @t24) @t419) @t81))) % 6.31/6.53 (assume @p313 (forall @t188 (or (not (tptp.class_Orderings_Olinorder @t1)) @t171 @t167))) % 6.31/6.53 (assume @p314 (forall (@list @t332 @t422 @t1 @t24 @t116 @t18) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t332 @t422 @t1 @t24) @t423 @t25) (not (tptp.c_lessequals @t422 @t18 @t14)) @t421))) % 6.31/6.53 (assume @p315 (forall (@list @t72 @t15 @t1 @t289) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t72 @t15 @t1) (tptp.c_Set_Oinsert @t72 @t289 @t1) @t14) (not (tptp.c_lessequals @t15 @t289 @t14))))) % 6.31/6.53 (assume @p316 (forall @t424 (or (not (tptp.c_lessequals @t5 @t18 @t25)) (tptp.c_lessequals (tptp.c_Set_Oimage @t26 @t5 @t24 @t1) @t28 @t14)))) % 6.31/6.53 (assume @p317 (forall (@list @t26 @t18 @t1 @t24 @t16) (or (tptp.c_lessequals @t419 (tptp.c_Set_Oimage @t26 @t16 @t1 @t24) @t25) @t165))) % 6.31/6.53 (assume @p318 (forall @t427 (or (tptp.c_lessequals @t426 (tptp.c_Relation_ODomain @t119 @t1 @t24) @t14) @t425))) % 6.31/6.53 (assume @p319 (forall @t427 (or @t428 (not (tptp.c_Relation_Osingle__valued @t119 @t1 @t24)) @t425))) % 6.31/6.53 (assume @p320 (forall @t431 (or @t430 @t429 @t272))) % 6.31/6.53 (assume @p321 (forall @t143 (or @t370 (not (tptp.c_Relation_Oantisym @t119 @t1)) @t299))) % 6.31/6.53 (assume @p322 (forall @t52 (or @t433 @t432))) % 6.31/6.53 (assume @p323 (forall @t52 (or @t434 @t432))) % 6.31/6.53 (assume @p324 (forall (@list @t414 @t1 @t116) (or (tptp.c_Wellfounded_Owf @t414 @t1) (not (tptp.c_lessequals @t414 @t116 @t97)) @t141))) % 6.31/6.53 (assume @p325 (forall @t431 (or @t430 @t272 @t429))) % 6.31/6.53 (assume @p326 (forall @t312 (or @t173 @t176 @t165))) % 6.31/6.53 (assume @p327 (forall @t53 (tptp.c_lessequals @t18 @t18 @t14))) % 6.31/6.53 (assume @p328 (forall @t263 (tptp.c_lessequals @t5 @t5 @t14))) % 6.31/6.53 (assume @p329 (forall @t237 (or @t433 @t190 @t193 @t168))) % 6.31/6.53 (assume @p330 (forall (@list @t1 @t2 @t5 @t3) (or @t434 @t189 (not (tptp.c_lessequals @t2 @t3 @t1)) @t172))) % 6.31/6.53 (assume @p331 (forall @t93 (or @t435 @t165 @t90))) % 6.31/6.53 (assume @p332 (forall @t247 (tptp.hBOOL (tptp.hAPP @t91 @t5)))) % 6.31/6.53 (assume @p333 (forall (@list @t26 @t72 @t16 @t24 @t1) (= (tptp.c_Set_Oimage @t26 (tptp.c_Set_Oinsert @t72 @t16 @t24) @t24 @t1) (tptp.c_Set_Oinsert @t436 @t27 @t1)))) % 6.31/6.53 (assume @p334 (forall @t143 (or @t438 (not (tptp.c_lessequals @t116 @t437 @t97))))) % 6.31/6.53 (assume @p335 (forall @t170 (or @t434 @t439 @t168 @t172))) % 6.31/6.53 (assume @p336 (forall @t170 (or @t434 @t439 @t172 @t168))) % 6.31/6.53 (assume @p337 (forall @t41 (or @t342 @t166 @t165))) % 6.31/6.53 (assume @p338 (forall (@list @t16 @t72 @t1) (tptp.c_lessequals @t16 @t105 @t14))) % 6.31/6.53 (assume @p339 (forall @t143 (or @t438 @t299))) % 6.31/6.53 (assume @p340 (forall @t440 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t161 @t116 @t67) @t1 @t24) (tptp.c_Set_Oinsert @t72 @t426 @t1)))) % 6.31/6.53 (assume @p341 (forall (@list @t18 @t5 @t3 @t1) (or @t134 @t443 (not @t442)))) % 6.31/6.53 (assume @p342 (forall @t247 (= (tptp.c_Set_Oinsert @t5 @t91 @t1) @t91))) % 6.31/6.53 (assume @p343 (forall (@list @t18 @t74 @t16 @t1) (or (tptp.c_lessequals @t18 @t444 @t14) @t165))) % 6.31/6.53 (assume @p344 (forall @t138 (or @t164 @t445))) % 6.31/6.53 (assume @p345 (forall (@list @t332 @t446 @t1 @t24 @t221 @t116 @t119) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t332 @t446 @t1 @t24 @t221) @t305 @t224) (not (tptp.c_lessequals @t446 @t119 @t303)) @t421))) % 6.31/6.53 (assume @p346 (forall (@list @t5 @t3 @t18 @t1) (= (tptp.c_Set_Oinsert @t5 @t441 @t1) (tptp.c_Set_Oinsert @t3 @t91 @t1)))) % 6.31/6.53 (assume @p347 (forall (@list @t49 @t1 @t44) (or (= @t100 @t101) (not (tptp.c_lessequals @t49 @t101 @t97)) (not (tptp.c_lessequals @t44 @t49 @t97))))) % 6.31/6.53 (assume @p348 (forall @t309 (or @t89 @t445))) % 6.31/6.53 (assume @p349 (forall (@list @t3 @t18 @t1 @t5) (or @t442 @t139))) % 6.31/6.53 (assume @p350 (forall @t88 (or @t84 @t165 @t80))) % 6.31/6.53 (assume @p351 (forall @t138 (or @t164 @t80 @t85))) % 6.31/6.53 (assume @p352 (forall @t138 (or @t164 @t85 @t80))) % 6.31/6.53 (assume @p353 (forall (@list @t447 @t1 @t448) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t447 @t1) (tptp.c_Wellfounded_Oacc @t448 @t1) @t14) (not (tptp.c_lessequals @t448 @t447 @t97))))) % 6.31/6.53 (assume @p354 (forall @t391 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t388 @t116 @t50) @t24 @t1) (tptp.c_Set_Oinsert @t74 @t449 @t1)))) % 6.31/6.53 (assume @p355 (forall (@list @t24 @t26 @t5 @t450 @t1) (or (not (tptp.class_HOL_Oord @t24)) (tptp.c_lessequals @t418 (tptp.hAPP @t450 @t5) @t24) (not (tptp.c_lessequals @t26 @t450 (tptp.tc_fun @t1 @t24)))))) % 6.31/6.53 (assume @p356 (forall (@list @t72 @t74 @t18 @t1) (or @t451 @t325))) % 6.31/6.53 (assume @p357 (forall (@list @t72 @t74 @t16 @t1) (or (tptp.c_in @t72 @t444 @t1) (not (tptp.c_in @t72 @t16 @t1))))) % 6.31/6.53 (assume @p358 (forall (@list @t452 @t16 @t1 @t18) (or (tptp.c_in @t452 @t16 @t1) (not (tptp.c_in @t452 @t18 @t1)) @t165))) % 6.31/6.53 (assume @p359 (forall @t309 (or @t89 @t165 @t81))) % 6.31/6.53 (assume @p360 (forall @t267 (or @t257 @t256 @t165))) % 6.31/6.53 (assume @p361 (forall @t309 (or @t89 @t81 @t165))) % 6.31/6.53 (assume @p362 (forall (@list @t72 @t18 @t1 @t74) (or @t208 @t201 (not @t451)))) % 6.31/6.53 (assume @p363 (forall @t247 (tptp.c_in @t5 @t91 @t1))) % 6.31/6.53 (assume @p364 (forall (@list @t72 @t16 @t1) (tptp.c_in @t72 @t105 @t1))) % 6.31/6.53 (assume @p365 (forall (@list @t5 @t16 @t1) (tptp.c_in @t5 @t83 @t1))) % 6.31/6.53 (assume @p366 (forall @t93 (or (not (= @t91 @t83)) @t89 @t80 @t342))) % 6.31/6.53 (assume @p367 (forall @t113 (or (= @t112 @t18) @t325))) % 6.31/6.53 (assume @p368 (forall @t386 (or @t385 @t416))) % 6.31/6.53 (assume @p369 (forall @t413 (or (tptp.c_in (tptp.c_Pair @t410 @t3 @t1 @t1) @t101 @t96) @t409))) % 6.31/6.53 (assume @p370 (forall @t411 (or (tptp.c_in (tptp.c_Pair @t5 @t412 @t1 @t1) @t101 @t96) @t409))) % 6.31/6.53 (assume @p371 (forall @t197 (or (tptp.c_lessequals @t406 @t116 @t97) @t275 @t118))) % 6.31/6.53 (assume @p372 @t454) % 6.31/6.53 (assume @p373 (forall @t53 (tptp.c_Relation_Otrans @t368 @t1))) % 6.31/6.53 (assume @p374 (forall @t197 (tptp.c_Relation_Otrans @t279 @t1))) % 6.31/6.53 (assume @p375 (forall @t197 (tptp.c_Relation_Otrans @t306 @t1))) % 6.31/6.53 (assume @p376 (forall @t197 (or @t273 (not @t455)))) % 6.31/6.53 (assume @p377 (forall @t197 (or @t455 @t275))) % 6.31/6.53 (assume @p378 (forall @t457 (or (tptp.c_Relation_Otrans @t456 @t24) @t275))) % 6.31/6.53 (assume @p379 (forall @t324 (tptp.c_Relation_Otrans @t276 @t1))) % 6.31/6.53 (assume @p380 (forall @t274 (or @t273 @t282))) % 6.31/6.53 (assume @p381 (forall @t459 (or (tptp.c_in @t414 @t306 @t96) @t458))) % 6.31/6.53 (assume @p382 (forall @t459 (or @t415 @t458))) % 6.31/6.53 (assume @p383 (forall @t464 (or @t463 @t461 @t396))) % 6.31/6.53 (assume @p384 @t466) % 6.31/6.53 (assume @p385 (forall @t468 (or @t467 @t409 @t439))) % 6.31/6.53 (assume @p386 (forall @t468 (or @t408 @t439 @t469))) % 6.31/6.53 (assume @p387 (forall (@list @t72 @t74 @t1 @t44) (or (tptp.c_in @t285 @t407 @t96) @t201 (not (tptp.c_in @t285 @t101 @t96))))) % 6.31/6.53 (assume @p388 (forall @t386 (or @t472 (not @t470)))) % 6.31/6.53 (assume @p389 (forall @t387 (or @t470 (not @t472)))) % 6.31/6.53 (assume @p390 (forall (@list @t2 @t3 @t1 @t116 @t5) (or (tptp.c_in (tptp.c_Pair @t2 @t3 @t1 @t1) @t306 @t96) (tptp.c_in @t474 @t306 @t96) (not (tptp.c_in @t473 @t306 @t96)) @t385 (not (tptp.c_Relation_Osingle__valued @t116 @t1 @t1))))) % 6.31/6.53 (assume @p391 (forall @t477 (or @t403 @t476))) % 6.31/6.53 (assume @p392 (forall @t464 (or @t463 @t461 @t476))) % 6.31/6.53 (assume @p393 (forall @t478 (or (tptp.c_in @t473 @t279 @t96) (not (tptp.c_in @t474 @t279 @t96)) @t385))) % 6.31/6.53 (assume @p394 (forall @t386 (or @t482 (not @t480)))) % 6.31/6.53 (assume @p395 (forall @t386 (or @t480 (not @t482)))) % 6.31/6.53 (assume @p396 (forall (@list @t26 @t24 @t221 @t1 @t72 @t74) (= (tptp.hAPP (tptp.c_split @t26 @t24 @t221 @t1) @t484) @t483))) % 6.31/6.53 (assume @p397 (forall (@list @t26 @t1 @t24 @t221 @t72 @t74) (= (tptp.hAPP @t485 @t161) @t483))) % 6.31/6.53 (assume @p398 (forall (@list @t44 @t72 @t74 @t82 @t1 @t24 @t221) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t44 @t72) @t74) @t82)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t44 @t1 @t24 @t304) @t161) @t82)))))) % 6.31/6.53 (assume @p399 (forall @t420 (or (tptp.c_in @t418 @t419 @t24) @t81))) % 6.31/6.53 (assume @p400 (forall (@list @t26 @t5 @t18 @t24 @t1) (or @t486 @t417))) % 6.31/6.53 (assume @p401 (forall @t424 (or @t417 @t486))) % 6.31/6.53 (assume @p402 (forall (@list @t5 @t18 @t487 @t26 @t1) (or (not (tptp.c_in @t5 @t18 @t487)) (tptp.c_in @t418 (tptp.c_Set_Oimage @t26 @t18 @t487 @t1) @t1)))) % 6.31/6.53 (assume @p403 (forall @t489 (or @t488 @t141))) % 6.31/6.53 (assume @p404 (forall @t53 (tptp.c_Relation_Osingle__valued @t368 @t1 @t1))) % 6.31/6.53 (assume @p405 (forall @t197 (or (tptp.c_Relation_Osym @t279 @t1) @t118))) % 6.31/6.53 (assume @p406 (forall @t359 (or @t358 (not (tptp.hBOOL (tptp.hAPP @t42 @t490))) @t356))) % 6.31/6.53 (assume @p407 (forall @t494 (or @t264 (not (tptp.hBOOL (tptp.hAPP @t42 @t493))) @t492))) % 6.31/6.53 (assume @p408 (forall @t197 (or @t117 (not @t495)))) % 6.31/6.53 (assume @p409 (forall @t197 (or @t495 @t118))) % 6.31/6.53 (assume @p410 (forall @t197 (= (tptp.c_Relation_ODomain @t279 @t1 @t1) @t142))) % 6.31/6.53 (assume @p411 (forall @t351 (or (tptp.c_in @t496 @t18 @t24) @t349))) % 6.31/6.53 (assume @p412 (forall @t324 (tptp.c_Relation_Osym @t276 @t1))) % 6.31/6.53 (assume @p413 (forall (@list @t1 @t44 @t24) (= (tptp.c_Relation_Orel__comp @t276 @t44 @t1 @t1 @t24) @t44))) % 6.31/6.53 (assume @p414 (forall @t115 (= (tptp.c_Relation_Orel__comp @t44 (tptp.c_Relation_OId @t24) @t1 @t24 @t24) @t44))) % 6.31/6.53 (assume @p415 (forall @t53 (tptp.c_Relation_Oantisym @t368 @t1))) % 6.31/6.53 (assume @p416 (forall @t197 (or (tptp.c_Wellfounded_Owf @t481 @t1) (not (tptp.c_Wellfounded_Owf @t313 @t1))))) % 6.31/6.53 (assume @p417 (forall @t215 (or @t148 (not @t497)))) % 6.31/6.53 (assume @p418 (forall @t215 (or @t497 @t149))) % 6.31/6.53 (assume @p419 (forall @t197 (or (tptp.c_Relation_Osym @t306 @t1) @t118))) % 6.31/6.53 (assume @p420 (forall @t366 (or @t498 @t288))) % 6.31/6.53 (assume @p421 (forall @t366 (or @t287 (not @t498)))) % 6.31/6.53 (assume @p422 (forall @t108 (= (tptp.c_Relation_OImage @t276 @t18 @t1 @t1) @t18))) % 6.31/6.53 (assume @p423 (forall @t324 (tptp.c_Relation_Osingle__valued @t276 @t1 @t1))) % 6.31/6.53 (assume @p424 (forall @t53 (= (tptp.c_Relation_ODomain @t368 @t1 @t1) @t18))) % 6.31/6.53 (assume @p425 (forall @t197 (or @t499 @t118))) % 6.31/6.53 (assume @p426 (forall @t197 (or (not @t499) @t117))) % 6.31/6.53 (assume @p427 (forall @t197 (= (tptp.c_Relation_ORange @t279 @t1 @t1) (tptp.c_Relation_ORange @t116 @t1 @t1)))) % 6.31/6.53 (assume @p428 (forall (@list @t116 @t119 @t24 @t221 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t116 @t119 @t24 @t221 @t1) @t24 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t119 @t221 @t1) (tptp.c_Relation_Oconverse @t116 @t24 @t221) @t1 @t221 @t24)))) % 6.31/6.53 (assume @p429 (forall @t53 (tptp.c_Relation_Osym @t368 @t1))) % 6.31/6.53 (assume @p430 (forall @t53 (tptp.c_Relation_Orefl__on @t18 @t368 @t1))) % 6.31/6.53 (assume @p431 (forall @t457 (or (tptp.c_Wellfounded_Owf @t456 @t24) @t141))) % 6.31/6.53 (assume @p432 (forall @t197 (= @t500 @t374))) % 6.31/6.53 (assume @p433 (forall @t457 (or (tptp.c_Relation_Osym @t456 @t24) @t118))) % 6.31/6.53 (assume @p434 (forall @t366 (= (tptp.c_Transitive__Closure_Otrancl @t101 @t1) @t101))) % 6.31/6.53 (assume @p435 (forall @t324 (= (tptp.c_Relation_Oconverse @t276 @t1 @t1) @t276))) % 6.31/6.53 (assume @p436 (forall @t197 (or (tptp.c_Wellfounded_Owf @t279 @t1) @t141))) % 6.31/6.53 (assume @p437 (forall (@list @t44 @t49 @t1 @t501 @t221 @t222 @t24) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t44 @t49 @t1 @t501 @t221) @t222 @t1 @t221 @t24) (tptp.c_Relation_Orel__comp @t44 (tptp.c_Relation_Orel__comp @t49 @t222 @t501 @t221 @t24) @t1 @t501 @t24)))) % 6.31/6.53 (assume @p438 (forall (@list @t44 @t26 @t24 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t44 @t26 @t24 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t44 @t24 @t24) @t26 @t24 @t1)))) % 6.31/6.53 (assume @p439 (forall @t197 (= @t479 @t481))) % 6.31/6.53 (assume @p440 (forall @t53 (= (tptp.c_Relation_Oconverse @t368 @t1 @t1) @t368))) % 6.31/6.53 (assume @p441 (forall @t197 (or (not @t502) (tptp.c_Equiv__Relations_Oequiv @t142 @t116 @t1)))) % 6.31/6.53 (assume @p442 (forall @t324 (tptp.c_Relation_Oantisym @t276 @t1))) % 6.31/6.53 (assume @p443 (forall @t504 (= (tptp.c_Relation_ORange @t503 @t24 @t1) @t426))) % 6.31/6.53 (assume @p444 (forall (@list @t43 @t116 @t1 @t37) (or (tptp.c_in @t506 @t43 @t1) @t505 @t141))) % 6.31/6.53 (assume @p445 (forall @t53 (= (tptp.c_Relation_ORange @t368 @t1 @t1) @t18))) % 6.31/6.53 (assume @p446 (forall (@list @t116 @t119 @t1 @t24 @t221) (or (tptp.c_Relation_Osingle__valued @t305 @t1 @t221) (not (tptp.c_Relation_Osingle__valued @t119 @t24 @t221)) @t507))) % 6.31/6.53 (assume @p447 (forall @t504 (= (tptp.c_Relation_Oconverse @t503 @t24 @t1) @t116))) % 6.31/6.53 (assume @p448 (forall @t274 (or @t502 @t282))) % 6.31/6.53 (assume @p449 (forall @t366 (= (tptp.c_Relation_Orel__comp @t101 @t101 @t1 @t1 @t1) @t101))) % 6.31/6.53 (assume @p450 (forall @t197 (or @t370 (not @t508)))) % 6.31/6.53 (assume @p451 (forall @t197 (or @t508 @t371))) % 6.31/6.53 (assume @p452 (forall @t494 (or @t264 (not (tptp.hBOOL (tptp.hAPP @t42 @t509))) @t492))) % 6.31/6.53 (assume @p453 (forall @t215 (or @t148 @t282))) % 6.31/6.53 (assume @p454 (forall @t197 (= @t471 (tptp.c_Relation_Oconverse @t306 @t1 @t1)))) % 6.31/6.53 (assume @p455 (forall (@list @t43 @t44 @t1 @t5) (or (tptp.c_in @t511 @t43 @t1) @t510 @t288))) % 6.31/6.53 (assume @p456 (forall @t274 (or @t117 @t282))) % 6.31/6.53 (assume @p457 (forall @t489 (or @t488 (not (tptp.c_in @t512 @t354 @t1))))) % 6.31/6.53 (assume @p458 (forall (@list @t514 @t26 @t72 @t24 @t221 @t18 @t1 @t513) (or (tptp.c_Equiv__Relations_Ocongruent @t514 @t436 @t24 @t221) @t325 @t515 (not (tptp.c_Equiv__Relations_Oequiv @t18 @t513 @t1))))) % 6.31/6.53 (assume @p459 (forall @t517 (= @t516 @t449))) % 6.31/6.53 (assume @p460 (forall @t197 (= @t279 @t374))) % 6.31/6.53 (assume @p461 (forall @t197 (= @t279 @t500))) % 6.31/6.53 (assume @p462 (forall @t517 (= @t449 @t516))) % 6.31/6.53 (assume @p463 (forall @t215 (or @t214 (not @t518)))) % 6.31/6.53 (assume @p464 (forall @t215 (or @t518 @t373))) % 6.31/6.53 (assume @p465 (forall @t359 (or @t358 (tptp.c_in @t490 @t354 @t1) @t356))) % 6.31/6.53 (assume @p466 (forall @t366 (= (tptp.c_Transitive__Closure_Ortrancl @t407 @t1) @t101))) % 6.31/6.53 (assume @p467 (forall @t197 (= (tptp.c_Transitive__Closure_Ortrancl @t306 @t1) @t306))) % 6.31/6.53 (assume @p468 (forall @t520 (or @t264 @t379 (not (tptp.c_in (tptp.c_Pair @t3 @t509 tptp.t_a tptp.t_a) @t116 @t519)) @t492))) % 6.31/6.53 (assume @p469 (forall (@list @t3 @t43 @t1 @t44 @t5) (or @t521 (not (tptp.c_in (tptp.c_Pair @t3 @t511 @t1 @t1) @t44 @t96)) @t510 @t288))) % 6.31/6.53 (assume @p470 (forall (@list @t74 @t116 @t1 @t24) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t74 @t116 @t1 @t24) @t74 @t24 @t1) @t116 @t50) (not (tptp.c_in @t74 @t449 @t1))))) % 6.31/6.53 (assume @p471 (forall @t489 (or @t488 (tptp.c_in (tptp.c_Pair @t512 @t5 @t1 @t1) @t116 @t96)))) % 6.31/6.53 (assume @p472 (forall @t525 (or @t524 @t356 @t523))) % 6.31/6.53 (assume @p473 (forall @t525 (or @t524 @t523 @t356))) % 6.31/6.53 (assume @p474 (forall @t528 (or @t264 @t527 (not (tptp.c_in (tptp.c_Pair @t526 @t493 tptp.t_a tptp.t_a) @t116 @t519)) @t492))) % 6.31/6.53 (assume @p475 (forall (@list @t5 @t44 @t1) (or @t530 @t529))) % 6.31/6.53 (assume @p476 (forall @t520 (or @t264 @t379 (not (tptp.c_in (tptp.c_Pair @t3 @t493 tptp.t_a tptp.t_a) @t116 @t519)) @t492))) % 6.31/6.53 (assume @p477 (forall (@list @t26 @t72 @t74 @t1 @t24 @t221 @t18) (or (tptp.c_in @t483 (tptp.c_Set_Oimage @t485 @t18 @t67 @t221) @t221) (not (tptp.c_in @t161 @t18 @t67))))) % 6.31/6.53 (assume @p478 (forall @t533 (or (tptp.c_in (tptp.c_Pair @t72 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t72 @t116 @t1 @t24) @t1 @t24) @t116 @t67) @t532))) % 6.31/6.53 (assume @p479 (forall @t528 (or @t264 @t527 (not (tptp.c_in (tptp.c_Pair @t526 @t509 tptp.t_a tptp.t_a) @t116 @t519)) @t492))) % 6.31/6.53 (assume @p480 (forall @t380 (or @t358 @t379 (not (tptp.c_in (tptp.c_Pair @t3 @t490 @t1 @t1) @t116 @t96)) @t356))) % 6.31/6.53 (assume @p481 (forall (@list @t3 @t43 @t1 @t116 @t37) (or @t521 (not (tptp.c_in (tptp.c_Pair @t3 @t506 @t1 @t1) @t116 @t96)) @t505 @t141))) % 6.31/6.53 (assume @p482 (forall @t533 (or (tptp.c_in (tptp.c_Pair @t72 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t72 @t116 @t1 @t24) @t1 @t24) @t116 @t67) @t532))) % 6.31/6.53 (assume @p483 (forall @t351 (or (tptp.c_in (tptp.c_Pair @t496 @t74 @t24 @t1) @t116 @t50) @t349))) % 6.31/6.53 (assume @p484 (forall @t468 (or @t439 @t469 @t530))) % 6.31/6.53 (assume @p485 (forall @t533 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t72 @t116 @t1 @t24) @t72 @t24 @t1) @t116 @t50) (not @t534)))) % 6.31/6.53 (assume @p486 (forall @t197 (or @t273 (not (tptp.c_in (tptp.c_Pair @t536 @t535 @t1 @t1) @t116 @t96))))) % 6.31/6.53 (assume @p487 (forall @t197 (or @t273 (tptp.c_in (tptp.c_Pair @t537 @t535 @t1 @t1) @t116 @t96)))) % 6.31/6.53 (assume @p488 (forall @t197 (or @t273 (tptp.c_in (tptp.c_Pair @t539 @t538 @t1 @t1) @t116 @t96)))) % 6.31/6.53 (assume @p489 (forall @t197 (or @t273 (not (tptp.c_in (tptp.c_Pair @t539 @t540 @t1 @t1) @t116 @t96))))) % 6.31/6.53 (assume @p490 (forall @t197 (or @t273 (tptp.c_in (tptp.c_Pair @t536 @t537 @t1 @t1) @t116 @t96)))) % 6.31/6.53 (assume @p491 (forall @t197 (or @t273 (tptp.c_in (tptp.c_Pair @t538 @t540 @t1 @t1) @t116 @t96)))) % 6.31/6.53 (assume @p492 (forall (@list @t2 @t82 @t24 @t221 @t1 @t72 @t74) (or (tptp.c_in @t2 (tptp.hAPP (tptp.c_split @t82 @t24 @t221 @t14) @t484) @t1) (not (tptp.c_in @t2 (tptp.hAPP (tptp.hAPP @t82 @t72) @t74) @t1))))) % 6.31/6.53 (assume @p493 (forall (@list @t26 @t542 @t545 @t541 @t544 @t24 @t514 @t1 @t513 @t221) (or (= (tptp.hAPP (tptp.hAPP @t26 @t542) @t545) (tptp.hAPP (tptp.hAPP @t26 @t541) @t544)) (not (tptp.c_in (tptp.c_Pair @t545 @t544 @t24 @t24) @t514 @t543)) (not (tptp.c_in (tptp.c_Pair @t542 @t541 @t1 @t1) @t513 @t96)) @t515))) % 6.31/6.53 (assume @p494 (forall (@list @t3 @t2 @t5 @t1 @t24 @t116) (or @t547 (not (tptp.c_in (tptp.c_Pair @t5 @t2 @t1 @t24) @t116 @t67)) (not (tptp.c_in @t546 @t116 @t67)) @t507))) % 6.31/6.53 (assume @p495 (forall (@list @t26 @t44 @t72 @t1 @t24 @t5) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t26 @t44 @t72 @t1 @t24) @t5) @t418) (not (tptp.c_in @t548 @t44 @t96))))) % 6.31/6.53 (assume @p496 (forall (@list @t26 @t116 @t72 @t1 @t24 @t5) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t26 @t116 @t72 @t1 @t24) @t5) @t418) @t549))) % 6.31/6.53 (assume @p497 (forall (@list @t44 @t5 @t3 @t1 @t24) (or @t551 (not @t550)))) % 6.31/6.53 (assume @p498 (forall (@list @t5 @t3 @t1 @t24 @t44) (or @t550 (not @t551)))) % 6.31/6.53 (assume @p499 (forall @t440 (or @t554 (not @t553)))) % 6.31/6.53 (assume @p500 (forall @t556 (or (tptp.c_in @t552 @t503 @t50) @t555))) % 6.31/6.53 (assume @p501 (forall @t556 (or @t553 (not @t554)))) % 6.31/6.53 (assume @p502 (forall @t281 (or (not @t557) @t378))) % 6.31/6.53 (assume @p503 (forall @t464 (or @t463 @t465 @t476))) % 6.31/6.53 (assume @p504 (forall @t464 (or @t463 @t558 @t396))) % 6.31/6.53 (assume @p505 (forall @t464 (or @t559 @t465 @t404))) % 6.31/6.53 (assume @p506 (forall @t464 (or @t559 @t461 @t396))) % 6.31/6.53 (assume @p507 (forall @t477 (or @t475 @t396))) % 6.31/6.53 (assume @p508 (forall @t464 (or @t559 @t461 @t404))) % 6.31/6.53 (assume @p509 (forall @t561 (tptp.c_in @t560 @t306 @t96))) % 6.31/6.53 (assume @p510 (forall (@list @t5 @t1 @t44) @t529)) % 6.31/6.53 (assume @p511 (forall (@list @t5 @t72 @t1 @t116) (or @t549 (not (tptp.c_in (tptp.c_Pair @t72 @t5 @t1 @t1) @t116 @t96)) @t141))) % 6.31/6.53 (assume @p512 (forall @t386 (or @t439 @t563 @t393 @t371))) % 6.31/6.53 (assume @p513 (forall @t477 (or @t201 (not @t564) @t396 @t371))) % 6.31/6.53 (assume @p514 (forall (@list @t26 @t3 @t2 @t1 @t116 @t24) (or (= @t566 (tptp.hAPP @t26 @t2)) @t565 (not (tptp.c_Equiv__Relations_Ocongruent @t116 @t26 @t1 @t24))))) % 6.31/6.53 (assume @p515 (forall (@list @t5 @t3 @t1 @t18) (or @t439 @t567))) % 6.31/6.53 (assume @p516 (forall (@list @t26 @t116 @t5 @t1 @t24 @t450 @t3) (or (not (= (tptp.c_Recdef_Ocut @t26 @t116 @t5 @t1 @t24) (tptp.c_Recdef_Ocut @t450 @t116 @t5 @t1 @t24))) (= @t566 (tptp.hAPP @t450 @t3)) @t563))) % 6.31/6.53 (assume @p517 (forall (@list @t72 @t74 @t1) (or @t201 (not (tptp.c_in @t285 @t276 @t96))))) % 6.31/6.53 (assume @p518 (forall @t281 (or @t557 (not @t377)))) % 6.31/6.53 (assume @p519 (forall @t561 (or (not @t568) @t141))) % 6.31/6.53 (assume @p520 (forall (@list @t5 @t3 @t1 @t116 @t26 @t24) (or @t570 (not @t569)))) % 6.31/6.53 (assume @p521 (forall (@list @t26 @t5 @t3 @t24 @t116 @t1) (or @t569 (not @t570)))) % 6.31/6.53 (assume @p522 (forall @t387 (or @t562 @t393 @t118))) % 6.31/6.53 (assume @p523 (forall (@list @t74 @t72 @t1 @t116) (or @t564 @t396 @t118))) % 6.31/6.53 (assume @p524 (forall (@list @t72 @t82 @t1 @t221 @t116 @t119 @t24 @t74) (or (tptp.c_in (tptp.c_Pair @t72 @t82 @t1 @t221) @t305 @t223) (not (tptp.c_in (tptp.c_Pair @t74 @t82 @t24 @t221) @t119 @t302)) @t555))) % 6.31/6.53 (assume @p525 (forall (@list @t72 @t82 @t1 @t44 @t74) (or (tptp.c_in @t462 @t407 @t96) (not (tptp.c_in @t460 @t44 @t96)) (not (tptp.c_in @t285 @t44 @t96))))) % 6.31/6.53 (assume @p526 (forall @t464 (or @t463 @t558 @t476))) % 6.31/6.53 (assume @p527 (forall @t263 (tptp.c_in @t280 @t276 @t96))) % 6.31/6.53 (assume @p528 (forall @t266 (tptp.c_in @t560 @t276 @t96))) % 6.31/6.53 (assume @p529 (forall @t578 (or @t577 @t576 @t439 @t571))) % 6.31/6.53 (assume @p530 (forall @t578 (or @t577 @t576 @t547 @t571))) % 6.31/6.53 (assume @p531 (forall @t581 (not (tptp.c_in @t580 @t579 @t572)))) % 6.31/6.53 (assume @p532 (forall @t582 (not (tptp.c_in @t574 @t579 @t572)))) % 6.31/6.53 (assume @p533 (forall @t578 (or @t575 @t547 (not @t577)))) % 6.31/6.53 (assume @p534 (forall @t582 (or @t439 @t443 (tptp.c_in @t574 @t583 @t572)))) % 6.31/6.53 (assume @p535 (forall @t581 (not (tptp.c_in @t580 @t583 @t572)))) % 6.31/6.53 (assume @p536 (forall @t585 (not (tptp.c_in @t584 @t583 @t572)))) % 6.31/6.53 (assume @p537 (forall @t578 (or @t586 @t576 @t439 @t547))) % 6.31/6.53 (assume @p538 (forall @t578 (or @t586 @t576 @t571 @t547))) % 6.31/6.53 (assume @p539 (forall @t585 (or @t587 @t587 (tptp.c_in @t584 @t579 @t572)))) % 6.31/6.53 (assume @p540 (forall @t578 (or @t575 @t571 (not @t586)))) % 6.31/6.53 (assume @p541 (forall (@list @t72 @t74 @t1 @t24 @t18 @t16) (or @t589 (not @t588) @t325))) % 6.31/6.53 (assume @p542 (forall (@list @t72 @t116 @t1 @t74) (or @t355 @t396 (not @t524)))) % 6.31/6.53 (assume @p543 (forall (@list @t3 @t116 @t1 @t72) (or (tptp.c_in @t3 @t354 @t1) (not (tptp.c_in (tptp.c_Pair @t3 @t72 @t1 @t1) @t116 @t96)) @t356))) % 6.31/6.53 (assume @p544 (forall (@list @t74 @t116 @t18 @t1 @t24 @t72) (or (tptp.c_in @t74 @t423 @t24) @t555 @t325))) % 6.31/6.53 (assume @p545 (forall (@list @t74 @t116 @t18 @t24 @t1 @t5) (or @t348 (not (tptp.c_in (tptp.c_Pair @t5 @t74 @t24 @t1) @t116 @t50)) @t417))) % 6.31/6.53 (assume @p546 (forall (@list @t5 @t18 @t1 @t3) (or @t80 @t567))) % 6.31/6.53 (assume @p547 (forall (@list @t5 @t1 @t18) (or (tptp.c_in @t280 @t368 @t96) @t81))) % 6.31/6.53 (assume @p548 (forall @t590 (or @t400 @t393 @t282))) % 6.31/6.53 (assume @p549 (forall @t591 (or @t80 @t393 @t282))) % 6.31/6.53 (assume @p550 (forall (@list @t72 @t116 @t24 @t1 @t5) (or @t534 (not (tptp.c_in (tptp.c_Pair @t5 @t72 @t24 @t1) @t116 @t50))))) % 6.31/6.53 (assume @p551 (forall (@list @t74 @t116 @t1 @t24 @t72) (or (tptp.c_in @t74 (tptp.c_Relation_ORange @t116 @t1 @t24) @t24) @t555))) % 6.31/6.53 (assume @p552 (forall (@list @t72 @t116 @t1 @t24 @t5) (or @t531 (not (tptp.c_in (tptp.c_Pair @t72 @t5 @t1 @t24) @t116 @t67))))) % 6.31/6.53 (assume @p553 (forall (@list @t72 @t116 @t1 @t24 @t74) (or @t531 @t555))) % 6.31/6.53 (assume @p554 (forall (@list @t74 @t16 @t72 @t24 @t1 @t18) (or @t588 @t592))) % 6.31/6.53 (assume @p555 (forall (@list @t72 @t18 @t1 @t74 @t24 @t16) (or @t208 @t592))) % 6.31/6.53 (assume @p556 (forall (@list @t37 @t5 @t1 @t116 @t18) (or (tptp.c_in (tptp.c_Pair @t37 @t5 @t1 @t1) @t116 @t96) (tptp.c_in (tptp.c_Pair @t5 @t37 @t1 @t1) @t116 @t96) (= @t5 @t37) (not (tptp.c_in @t37 @t18 @t1)) @t81 @t373))) % 6.31/6.53 (assume @p557 (forall (@list @t5 @t1 @t116 @t18) (or @t557 @t81 @t149))) % 6.31/6.53 (assume @p558 (forall @t590 (or @t400 @t393 @t149))) % 6.31/6.53 (assume @p559 (forall @t591 (or @t80 @t393 @t149))) % 6.31/6.53 (assume @p560 (forall (@list @t72 @t1 @t116 @t18) (or @t568 @t325 @t149))) % 6.31/6.53 (assume @p561 (forall @t596 (or @t595 (= @t74 @t593)))) % 6.31/6.53 (assume @p562 (forall @t596 (or @t595 (= @t72 @t594)))) % 6.31/6.53 (assume @p563 (forall @t478 (or (tptp.c_in @t473 @t116 @t96) @t565 @t393 @t275))) % 6.31/6.53 (assume @p564 (forall @t464 (or (tptp.c_in @t462 @t116 @t96) @t465 @t396 @t275))) % 6.31/6.53 (assume @p565 (forall (@list @t5 @t49 @t1) (or @t598 (not @t597)))) % 6.31/6.53 (assume @p566 (forall (@list @t49 @t5 @t1) (or @t597 (not @t598)))) % 6.31/6.53 (assume @p567 (forall (@list @t5) (tptp.c_Relation_Otrans @t599 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 6.31/6.53 (assume @p568 (forall (@list @t600 @t5) (not (tptp.c_in (tptp.c_Pair @t600 @t600 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t599 @t572)))) % 6.31/6.53 (assume @p569 @t603) % 6.31/6.53 (assume @p570 @t604) % 6.31/6.53 (assume @p571 (forall (@list @t37) (not (tptp.c_in (tptp.c_Pair @t37 @t37 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t601 @t572)))) % 6.31/6.53 (assume @p572 (not @t606)) % 6.31/6.53 (assume @p573 @t610) % 6.31/6.53 (assume @p574 (forall (@list @t3 @t5) (or (tptp.c_in (tptp.c_Pair @t3 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t601 @t572) (tptp.c_in @t574 @t601 @t572) @t439))) % 6.31/6.53 (assume @p575 @t615) % 6.31/6.53 (assume @p576 (forall @t620 (or (tptp.class_Lattices_Oupper__semilattice @t619) @t617))) % 6.31/6.53 (assume @p577 (forall @t620 (or (tptp.class_Lattices_Olower__semilattice @t619) @t617))) % 6.31/6.53 (assume @p578 (forall @t620 (or (tptp.class_Lattices_Odistrib__lattice @t619) (not (tptp.class_Lattices_Odistrib__lattice @t616))))) % 6.31/6.53 (assume @p579 (forall @t620 (or (tptp.class_Lattices_Obounded__lattice @t619) (not (tptp.class_Lattices_Obounded__lattice @t616))))) % 6.31/6.53 (assume @p580 (forall @t620 (or (tptp.class_Orderings_Opreorder @t619) (not (tptp.class_Orderings_Opreorder @t616))))) % 6.31/6.53 (assume @p581 (forall @t620 (or (tptp.class_Lattices_Olattice @t619) @t617))) % 6.31/6.53 (assume @p582 (forall @t620 (or (tptp.class_Orderings_Oorder @t619) (not (tptp.class_Orderings_Oorder @t616))))) % 6.31/6.53 (assume @p583 (forall @t620 (or (tptp.class_Orderings_Obot @t619) (not (tptp.class_Orderings_Obot @t616))))) % 6.31/6.53 (assume @p584 (forall @t620 (or (tptp.class_HOL_Oord @t619) (not (tptp.class_HOL_Oord @t616))))) % 6.31/6.53 (assume @p585 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 6.31/6.53 (assume @p586 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 6.31/6.53 (assume @p587 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 6.31/6.53 (assume @p588 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 6.31/6.53 (assume @p589 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 6.31/6.53 (assume @p590 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 6.31/6.53 (assume @p591 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 6.31/6.53 (assume @p592 (tptp.class_Orderings_Obot tptp.tc_bool)) % 6.31/6.53 (assume @p593 (tptp.class_HOL_Oord tptp.tc_bool)) % 6.31/6.53 (assume @p594 (forall @t263 (tptp.c_fequal @t5 @t5 @t1))) % 6.31/6.53 (assume @p595 (forall (@list @t622 @t621 @t1) (or (= @t622 @t621) (not (tptp.c_fequal @t622 @t621 @t1))))) % 6.31/6.53 (step @p596 :rule instantiate :premises (@p391) :args ((@list tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt @t601))) % 6.31/6.53 (step @p597 :rule true_intro :premises (@p569)) % 6.31/6.53 (step @p598 :rule refl :args (@t572)) % 6.31/6.53 (step @p599 :rule refl :args (@t275)) % 6.31/6.53 (step @p600 :rule eq-symm :args (@t279 @t116)) % 6.31/6.53 (step @p601 :rule nary_cong :premises (@p600 @p599) :args (@t453)) % 6.31/6.53 (step @p602 :rule cong :premises (@p601) :args (@t454)) % 6.31/6.53 (step @p603 :rule eq_resolve :premises (@p372 @p602)) % 6.31/6.53 (step @p604 :rule instantiate :premises (@p603) :args ((@list @t601 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 6.31/6.53 (step @p605 :rule cnf_or_pos :args (@t626)) % 6.31/6.53 (step @p606 :rule reordering :premises (@p605) :args ((or @t623 @t625 (not @t626)))) % 6.31/6.53 (step @p607 :rule chain_m_resolution :premises (@p606 @p570 @p604) :args (@t625 @t627 (@list @t604 @t626))) % 6.31/6.53 (step @p608 :rule symm :premises (@p607)) % 6.31/6.53 (step @p609 :rule refl :args (@t602)) % 6.31/6.53 (step @p610 :rule cong :premises (@p609 @p608 @p598) :args (@t628)) % 6.31/6.53 (step @p611 :rule trans :premises (@p610 @p597)) % 6.31/6.53 (step @p612 :rule true_elim :premises (@p611)) % 6.31/6.53 (step @p613 :rule cnf_or_pos :args (@t631)) % 6.31/6.53 (step @p614 :rule reordering :premises (@p613) :args ((or @t630 @t629 (not @t631)))) % 6.31/6.53 (step @p615 :rule chain_m_resolution :premises (@p614 @p612 @p596) :args (@t630 @t627 (@list @t628 @t631))) % 6.31/6.53 (step @p616 :rule instantiate :premises (@p571) :args ((@list tptp.v_a))) % 6.31/6.53 (step @p617 :rule false_intro :premises (@p616)) % 6.31/6.53 (step @p618 :rule refl :args (@t632)) % 6.31/6.53 (step @p619 :rule cong :premises (@p618 @p608 @p598) :args (@t633)) % 6.31/6.53 (step @p620 :rule trans :premises (@p619 @p617)) % 6.31/6.53 (step @p621 :rule false_elim :premises (@p620)) % 6.31/6.53 (step @p622 :rule eq-symm :args (@t72 @t74)) % 6.31/6.53 (step @p623 :rule refl :args (@t612)) % 6.31/6.53 (step @p624 :rule refl :args (@t613)) % 6.31/6.53 (step @p625 :rule nary_cong :premises (@p624 @p623 @p622) :args (@t614)) % 6.31/6.53 (step @p626 :rule cong :premises (@p625) :args (@t615)) % 6.31/6.53 (step @p627 :rule eq_resolve :premises (@p575 @p626)) % 6.31/6.53 (step @p628 :rule instantiate :premises (@p627) :args ((@list tptp.v_b tptp.v_a))) % 6.31/6.53 (step @p629 :rule eq-symm :args (@t37 @t3)) % 6.31/6.53 (step @p630 :rule refl :args (@t607)) % 6.31/6.53 (step @p631 :rule refl :args (@t608)) % 6.31/6.53 (step @p632 :rule nary_cong :premises (@p631 @p630 @p629) :args (@t609)) % 6.31/6.53 (step @p633 :rule cong :premises (@p632) :args (@t610)) % 6.31/6.53 (step @p634 :rule eq_resolve :premises (@p573 @p633)) % 6.31/6.53 (step @p635 :rule instantiate :premises (@p634) :args ((@list tptp.v_a tptp.v_b tptp.v_i))) % 6.31/6.53 (step @p636 :rule instantiate :premises (@p498) :args ((@list tptp.v_b tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t601))) % 6.31/6.53 (step @p637 :rule instantiate :premises (@p571) :args ((@list tptp.v_b))) % 6.31/6.53 (step @p638 :rule cnf_or_pos :args (@t637)) % 6.31/6.53 (step @p639 :rule reordering :premises (@p638) :args ((or @t636 @t635 (not @t637)))) % 6.31/6.53 (step @p640 :rule chain_m_resolution :premises (@p639 @p637 @p636) :args (@t635 @t638 (@list @t636 @t637))) % 6.31/6.53 (step @p641 :rule instantiate :premises (@p497) :args ((@list @t601 tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 6.31/6.53 (step @p642 :rule cnf_or_pos :args (@t641)) % 6.31/6.53 (step @p643 :rule reordering :premises (@p642) :args ((or @t639 @t640 (not @t641)))) % 6.31/6.53 (step @p644 :rule chain_m_resolution :premises (@p643 @p569 @p641) :args (@t640 @t627 (@list @t603 @t641))) % 6.31/6.53 (step @p645 :rule bool-double-not-elim :args (@t634)) % 6.31/6.53 (step @p646 :rule refl :args (@t643)) % 6.31/6.53 (step @p647 :rule refl :args (@t644)) % 6.31/6.53 (step @p648 :rule nary_cong :premises (@p647 @p646 @p645) :args ((or @t644 @t643 (not @t635)))) % 6.31/6.53 (assume-push @p696 @t635) % 6.31/6.53 (assume-push @p697 @t642) % 6.31/6.53 (assume-push @p698 @t640) % 6.31/6.53 (step @p652 :rule evaluate :args ((= false true))) % 6.31/6.53 (step @p653 :rule true_intro :premises (@p644)) % 6.31/6.53 (step @p654 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 6.31/6.53 (step @p655 :rule symm :premises (@p697)) % 6.31/6.53 (step @p656 :rule refl :args (@t601)) % 6.31/6.53 (step @p657 :rule cong :premises (@p656 @p655 @p697 @p654 @p654) :args ((tptp.c_FunDef_Oin__rel @t601 tptp.v_b tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 6.31/6.53 (step @p658 :rule refl :args (tptp.v_b)) % 6.31/6.53 (step @p659 :rule cong :premises (@p656 @p658 @p655 @p654 @p654) :args (@t634)) % 6.31/6.53 (step @p660 :rule false_intro :premises (@p640)) % 6.31/6.53 (step @p661 :rule symm :premises (@p660)) % 6.31/6.53 (step @p662 :rule trans :premises (@p661 @p659 @p657 @p653)) % 6.31/6.53 (step @p663 false :rule eq_resolve :premises (@p662 @p652)) % 6.31/6.53 (step-pop @p699 :rule scope :premises (@p663)) % 6.31/6.53 (step-pop @p700 :rule scope :premises (@p699)) % 6.31/6.53 (step-pop @p701 :rule scope :premises (@p700)) % 6.31/6.53 (step @p664 :rule process_scope :premises (@p701) :args (false)) % 6.31/6.53 (assume-push @p702 @t640) % 6.31/6.53 (assume-push @p703 @t642) % 6.31/6.53 (assume-push @p704 @t635) % 6.31/6.53 (step @p671 :rule and_intro :premises (@p640 @p703 @p644)) % 6.31/6.53 (step-pop @p705 :rule scope :premises (@p671)) % 6.31/6.53 (step-pop @p706 :rule scope :premises (@p705)) % 6.31/6.53 (step-pop @p707 :rule scope :premises (@p706)) % 6.31/6.53 (step @p672 :rule process_scope :premises (@p707) :args (@t645)) % 6.31/6.53 (step @p676 :rule implies_elim :premises (@p672)) % 6.31/6.53 (step @p677 :rule resolution :premises (@p676 @p664) :args (true @t645)) % 6.31/6.53 (step @p678 :rule not_and :premises (@p677)) % 6.31/6.53 (step @p679 :rule eq_resolve :premises (@p678 @p648)) % 6.31/6.53 (step @p680 :rule chain_m_resolution :premises (@p679 @p644 @p640) :args (@t643 (@list false true) (@list @t640 @t634))) % 6.31/6.53 (step @p681 :rule cnf_or_pos :args (@t648)) % 6.31/6.53 (step @p682 :rule reordering :premises (@p681) :args ((or @t606 @t642 @t647 (not @t648)))) % 6.31/6.53 (step @p683 :rule chain_m_resolution :premises (@p682 @p572 @p680 @p635) :args (@t647 (@list true true false) (@list @t606 @t642 @t648))) % 6.31/6.53 (step @p684 :rule cnf_or_pos :args (@t651)) % 6.31/6.53 (step @p685 :rule reordering :premises (@p684) :args ((or @t650 @t642 @t649 (not @t651)))) % 6.31/6.53 (step @p686 :rule chain_m_resolution :premises (@p685 @p680 @p683 @p628) :args (@t650 (@list true false false) (@list @t642 @t647 @t651))) % 6.31/6.53 (step @p687 :rule cnf_or_pos :args (@t654)) % 6.31/6.53 (step @p688 :rule reordering :premises (@p687) :args ((or @t653 @t633 @t652 @t655))) % 6.31/6.53 (step @p689 :rule chain_m_resolution :premises (@p688 @p686 @p621 @p615) :args (@t655 (@list false true false) (@list @t650 @t633 @t630))) % 6.31/6.53 (assume-push @p708 @t466) % 6.31/6.53 (step @p691 :rule instantiate :premises (@p384) :args ((@list tptp.v_a tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt @t601 tptp.v_b))) % 6.31/6.53 (step-pop @p709 :rule scope :premises (@p691)) % 6.31/6.53 (step @p692 :rule process_scope :premises (@p709) :args (@t654)) % 6.31/6.53 (step @p694 :rule implies_elim :premises (@p692)) % 6.31/6.53 (step @p695 false :rule chain_m_resolution :premises (@p694 @p689 @p384) :args (false @t638 (@list @t654 @t466))) % 6.31/6.53 ) % 6.31/6.56 % SZS output end Proof % 6.31/6.56 % cvc5 exiting %------------------------------------------------------------------------------