%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT028-1 : 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 : n019.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 1.51s 1.70s % Output : Proof 1.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SCT028-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n019.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 14:19:19 EDT 2026 % 0.17/0.36 % CPUTime : % 0.38/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.51/1.70 % SZS status Unsatisfiable % 1.51/1.70 % SZS output start Proof % 1.51/1.71 ( % 1.51/1.71 (declare-sort $$unsorted 0) % 1.51/1.71 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 $$unsorted) % 1.51/1.71 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.v_r $$unsorted) % 1.51/1.71 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.tc_bool $$unsorted) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.v_b $$unsorted) % 1.51/1.71 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.t_b $$unsorted) % 1.51/1.72 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.v_R____ $$unsorted) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.v_a $$unsorted) % 1.51/1.72 (declare-const tptp.t_a $$unsorted) % 1.51/1.72 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.51/1.72 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.72 (define @t1 () (@var "T_a" $$unsorted)) % 1.51/1.72 (define @t2 () (@var "V_R" $$unsorted)) % 1.51/1.72 (define @t3 () (tptp.c_Wellfounded_Owf @t2 @t1)) % 1.51/1.72 (define @t4 () (not @t3)) % 1.51/1.72 (define @t5 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.51/1.72 (define @t6 () (@var "V_A" $$unsorted)) % 1.51/1.72 (define @t7 () (tptp.c_Orderings_Obot__class_Obot @t5)) % 1.51/1.72 (define @t8 () (= @t6 @t7)) % 1.51/1.72 (define @t9 () (@var "V_x" $$unsorted)) % 1.51/1.72 (define @t10 () (not (tptp.c_in @t9 @t7 @t1))) % 1.51/1.72 (define @t11 () (@var "V_P" $$unsorted)) % 1.51/1.72 (define @t12 () (tptp.hBOOL (tptp.hAPP @t11 @t9))) % 1.51/1.72 (define @t13 () (not @t12)) % 1.51/1.72 (define @t14 () (@list @t11 @t9 @t1)) % 1.51/1.72 (define @t15 () (@var "V_a" $$unsorted)) % 1.51/1.72 (define @t16 () (@list @t15 @t1)) % 1.51/1.72 (define @t17 () (@var "V_c" $$unsorted)) % 1.51/1.72 (define @t18 () (@list @t9 @t1)) % 1.51/1.72 (define @t19 () (@var "V_b" $$unsorted)) % 1.51/1.72 (define @t20 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t19 @t1)) % 1.51/1.72 (define @t21 () (tptp.c_Set_Oinsert @t19 @t7 @t1)) % 1.51/1.72 (define @t22 () (tptp.c_Set_Oinsert @t15 @t21 @t1)) % 1.51/1.72 (define @t23 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 1.51/1.72 (define @t24 () (tptp.tc_prod @t1 @t1)) % 1.51/1.72 (define @t25 () (tptp.tc_fun @t24 tptp.tc_bool)) % 1.51/1.72 (define @t26 () (tptp.c_Orderings_Obot__class_Obot @t25)) % 1.51/1.72 (define @t27 () (@list @t1)) % 1.51/1.72 (define @t28 () (@var "V_C" $$unsorted)) % 1.51/1.72 (define @t29 () (tptp.c_Complete__Lattice_OSup__class_OSup @t28 @t5)) % 1.51/1.72 (define @t30 () (tptp.c_Set_Oinsert @t15 @t7 @t1)) % 1.51/1.72 (define @t31 () (@list @t1 @t15)) % 1.51/1.72 (define @t32 () (@var "T_b" $$unsorted)) % 1.51/1.72 (define @t33 () (tptp.tc_fun @t32 tptp.tc_bool)) % 1.51/1.72 (define @t34 () (tptp.c_Orderings_Obot__class_Obot @t33)) % 1.51/1.72 (define @t35 () (@var "V_f" $$unsorted)) % 1.51/1.72 (define @t36 () (tptp.c_Set_Oimage @t35 @t34 @t32 @t1)) % 1.51/1.72 (define @t37 () (tptp.tc_prod @t1 @t32)) % 1.51/1.72 (define @t38 () (tptp.tc_fun @t37 tptp.tc_bool)) % 1.51/1.72 (define @t39 () (tptp.c_Orderings_Obot__class_Obot @t38)) % 1.51/1.72 (define @t40 () (@var "V_r" $$unsorted)) % 1.51/1.72 (define @t41 () (tptp.c_Relation_ODomain @t40 @t1 @t32)) % 1.51/1.72 (define @t42 () (@list @t40 @t1 @t32)) % 1.51/1.72 (define @t43 () (@var "V_B" $$unsorted)) % 1.51/1.72 (define @t44 () (@var "V_xa" $$unsorted)) % 1.51/1.72 (define @t45 () (tptp.c_COMBK @t17 @t1 @t32)) % 1.51/1.72 (define @t46 () (= @t15 @t19)) % 1.51/1.72 (define @t47 () (tptp.c_Set_Oinsert @t9 @t7 @t1)) % 1.51/1.72 (define @t48 () (tptp.c_Relation_OId @t1)) % 1.51/1.72 (define @t49 () (= @t6 @t34)) % 1.51/1.72 (define @t50 () (tptp.c_Set_Oimage @t35 @t6 @t32 @t1)) % 1.51/1.72 (define @t51 () (@var "T_c" $$unsorted)) % 1.51/1.72 (define @t52 () (tptp.tc_prod @t1 @t51)) % 1.51/1.72 (define @t53 () (tptp.tc_fun @t52 tptp.tc_bool)) % 1.51/1.72 (define @t54 () (tptp.tc_prod @t51 @t32)) % 1.51/1.72 (define @t55 () (@list @t1 @t6)) % 1.51/1.72 (define @t56 () (@list @t1 @t43)) % 1.51/1.72 (define @t57 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.51/1.72 (define @t58 () (@list @t1 @t9)) % 1.51/1.72 (define @t59 () (tptp.c_Set_Oinsert @t15 @t6 @t1)) % 1.51/1.72 (define @t60 () (@list @t15 @t6 @t1)) % 1.51/1.72 (define @t61 () (@list @t2 @t32 @t1)) % 1.51/1.72 (define @t62 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 1.51/1.72 (define @t63 () (@list @t6 @t1)) % 1.51/1.72 (define @t64 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t43 @t5)) % 1.51/1.72 (define @t65 () (tptp.c_in @t9 @t6 @t1)) % 1.51/1.72 (define @t66 () (not @t65)) % 1.51/1.72 (define @t67 () (tptp.c_in @t9 @t43 @t1)) % 1.51/1.72 (define @t68 () (not @t67)) % 1.51/1.72 (define @t69 () (@list @t9 @t43 @t1 @t6)) % 1.51/1.72 (define @t70 () (tptp.tc_prod @t32 @t1)) % 1.51/1.72 (define @t71 () (tptp.tc_fun @t70 tptp.tc_bool)) % 1.51/1.72 (define @t72 () (tptp.c_Orderings_Obot__class_Obot @t71)) % 1.51/1.72 (define @t73 () (= @t15 @t17)) % 1.51/1.72 (define @t74 () (@var "V_d" $$unsorted)) % 1.51/1.72 (define @t75 () (= @t15 @t74)) % 1.51/1.72 (define @t76 () (not (= @t22 (tptp.c_Set_Oinsert @t17 (tptp.c_Set_Oinsert @t74 @t7 @t1) @t1)))) % 1.51/1.72 (define @t77 () (@list @t15 @t19 @t1 @t17 @t74)) % 1.51/1.72 (define @t78 () (= @t19 @t17)) % 1.51/1.72 (define @t79 () (= @t19 @t74)) % 1.51/1.72 (define @t80 () (@list @t1 @t15 @t6)) % 1.51/1.72 (define @t81 () (tptp.c_Relation_ORange @t40 @t32 @t1)) % 1.51/1.72 (define @t82 () (@list @t40 @t32 @t1)) % 1.51/1.72 (define @t83 () (tptp.c_Relation_Orel__comp @t2 @t2 @t1 @t1 @t1)) % 1.51/1.72 (define @t84 () (@list @t2 @t1)) % 1.51/1.72 (define @t85 () (not (tptp.c_Equiv__Relations_Oequiv @t6 @t40 @t1))) % 1.51/1.72 (define @t86 () (tptp.c_in @t15 @t6 @t1)) % 1.51/1.72 (define @t87 () (not @t86)) % 1.51/1.72 (define @t88 () (tptp.c_Relation_OImage @t40 @t30 @t1 @t1)) % 1.51/1.72 (define @t89 () (tptp.c_Equiv__Relations_Oquotient @t6 @t40 @t1)) % 1.51/1.72 (define @t90 () (@var "V_X" $$unsorted)) % 1.51/1.72 (define @t91 () (not (tptp.c_in @t90 @t89 @t5))) % 1.51/1.72 (define @t92 () (@var "V_Y" $$unsorted)) % 1.51/1.72 (define @t93 () (not (tptp.c_in @t92 @t89 @t5))) % 1.51/1.72 (define @t94 () (= @t90 @t92)) % 1.51/1.72 (define @t95 () (tptp.c_in @t19 (tptp.c_Relation_OImage @t40 (tptp.c_Set_Oinsert @t15 @t34 @t32) @t32 @t1) @t1)) % 1.51/1.72 (define @t96 () (tptp.c_Pair @t15 @t19 @t32 @t1)) % 1.51/1.72 (define @t97 () (tptp.c_in @t96 @t40 @t70)) % 1.51/1.72 (define @t98 () (@list @t15 @t19 @t32 @t1 @t40)) % 1.51/1.72 (define @t99 () (tptp.c_Pair @t15 @t19 @t1 @t1)) % 1.51/1.72 (define @t100 () (tptp.c_in @t99 @t40 @t24)) % 1.51/1.72 (define @t101 () (not @t100)) % 1.51/1.72 (define @t102 () (tptp.c_Relation_OImage @t40 @t21 @t1 @t1)) % 1.51/1.72 (define @t103 () (= @t88 @t102)) % 1.51/1.72 (define @t104 () (@list @t40 @t15 @t1 @t19 @t6)) % 1.51/1.72 (define @t105 () (@var "V_y" $$unsorted)) % 1.51/1.72 (define @t106 () (tptp.c_Pair @t9 @t105 @t1 @t1)) % 1.51/1.72 (define @t107 () (tptp.c_in @t106 @t40 @t24)) % 1.51/1.72 (define @t108 () (not @t107)) % 1.51/1.72 (define @t109 () (tptp.c_Set_Oinsert @t105 @t7 @t1)) % 1.51/1.72 (define @t110 () (tptp.c_Relation_OImage @t40 @t47 @t1 @t1)) % 1.51/1.72 (define @t111 () (= @t110 (tptp.c_Relation_OImage @t40 @t109 @t1 @t1))) % 1.51/1.72 (define @t112 () (@list @t40 @t9 @t1 @t105 @t6)) % 1.51/1.72 (define @t113 () (tptp.c_Finite__Set_Ofinite @t6 @t1)) % 1.51/1.72 (define @t114 () (tptp.hBOOL (tptp.hAPP @t64 @t9))) % 1.51/1.72 (define @t115 () (not @t114)) % 1.51/1.72 (define @t116 () (tptp.hAPP @t43 @t9)) % 1.51/1.72 (define @t117 () (tptp.hBOOL @t116)) % 1.51/1.72 (define @t118 () (tptp.hBOOL (tptp.hAPP @t6 @t9))) % 1.51/1.72 (define @t119 () (@list @t6 @t9 @t43 @t1)) % 1.51/1.72 (define @t120 () (tptp.c_Relation_Osym @t40 @t1)) % 1.51/1.72 (define @t121 () (not @t120)) % 1.51/1.72 (define @t122 () (@var "V_s" $$unsorted)) % 1.51/1.72 (define @t123 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t122 @t25)) % 1.51/1.72 (define @t124 () (@list @t40 @t122 @t1)) % 1.51/1.72 (define @t125 () (tptp.c_Relation_Otrans @t40 @t1)) % 1.51/1.72 (define @t126 () (not @t125)) % 1.51/1.72 (define @t127 () (tptp.c_Transitive__Closure_Otrancl @t40 @t1)) % 1.51/1.72 (define @t128 () (@list @t40 @t1)) % 1.51/1.72 (define @t129 () (@var "V_G" $$unsorted)) % 1.51/1.72 (define @t130 () (@var "V_F" $$unsorted)) % 1.51/1.72 (define @t131 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t130 @t129 @t5) @t1)) % 1.51/1.72 (define @t132 () (@list @t130 @t129 @t1)) % 1.51/1.72 (define @t133 () (not (tptp.c_Finite__Set_Ofinite @t130 @t1))) % 1.51/1.72 (define @t134 () (tptp.c_in @t17 @t6 @t1)) % 1.51/1.72 (define @t135 () (not @t134)) % 1.51/1.72 (define @t136 () (tptp.c_in @t17 @t43 @t1)) % 1.51/1.72 (define @t137 () (tptp.c_in @t17 @t64 @t1)) % 1.51/1.72 (define @t138 () (tptp.c_in @t15 (tptp.c_Set_Oinsert @t19 @t6 @t1) @t1)) % 1.51/1.72 (define @t139 () (tptp.c_Set_Oinsert @t19 @t43 @t1)) % 1.51/1.72 (define @t140 () (tptp.c_Set_Oinsert @t9 @t6 @t1)) % 1.51/1.72 (define @t141 () (@list @t9 @t6 @t1)) % 1.51/1.72 (define @t142 () (tptp.c_Set_Oinsert @t15 @t43 @t1)) % 1.51/1.72 (define @t143 () (tptp.c_Set_Oinsert @t9 @t43 @t1)) % 1.51/1.72 (define @t144 () (not @t137)) % 1.51/1.72 (define @t145 () (@list @t17 @t43 @t1 @t6)) % 1.51/1.72 (define @t146 () (= @t6 @t43)) % 1.51/1.72 (define @t147 () (@list @t9 @t6 @t1 @t43)) % 1.51/1.72 (define @t148 () (@var "T_aa" $$unsorted)) % 1.51/1.72 (define @t149 () (tptp.hAPP @t35 @t9)) % 1.51/1.72 (define @t150 () (tptp.c_in @t149 @t50 @t1)) % 1.51/1.72 (define @t151 () (not (tptp.c_in @t9 @t6 @t32))) % 1.51/1.72 (define @t152 () (@list @t9 @t6 @t32 @t35 @t1)) % 1.51/1.72 (define @t153 () (tptp.c_Set_Oimage @t35 @t6 @t1 @t32)) % 1.51/1.72 (define @t154 () (@list @t35 @t9 @t6 @t1 @t32)) % 1.51/1.72 (define @t155 () (tptp.c_Transitive__Closure_Otrancl @t2 @t1)) % 1.51/1.72 (define @t156 () (tptp.c_in @t106 @t155 @t24)) % 1.51/1.72 (define @t157 () (not @t156)) % 1.51/1.72 (define @t158 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t2 @t9 @t105 @t1)) % 1.51/1.72 (define @t159 () (@list @t9 @t2 @t105 @t1)) % 1.51/1.72 (define @t160 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t2 @t9 @t105 @t1)) % 1.51/1.72 (define @t161 () (@list @t2 @t9 @t105 @t1)) % 1.51/1.72 (define @t162 () (tptp.c_lessequals @t6 @t28 @t5)) % 1.51/1.72 (define @t163 () (not @t162)) % 1.51/1.72 (define @t164 () (@var "V_D" $$unsorted)) % 1.51/1.72 (define @t165 () (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 @t6 @t43 @t164 @t1 @t32)) % 1.51/1.72 (define @t166 () (tptp.c_Product__Type_OSigma @t6 @t43 @t1 @t32)) % 1.51/1.72 (define @t167 () (tptp.c_lessequals @t166 (tptp.c_Product__Type_OSigma @t28 @t164 @t1 @t32) @t38)) % 1.51/1.72 (define @t168 () (@list @t6 @t43 @t1 @t32 @t28 @t164)) % 1.51/1.72 (define @t169 () (not (tptp.c_lessequals @t40 @t122 @t25))) % 1.51/1.72 (define @t170 () (@list @t40 @t1 @t122)) % 1.51/1.72 (define @t171 () (tptp.c_Pair @t105 @t9 @t1 @t1)) % 1.51/1.72 (define @t172 () (tptp.c_Wellfounded_Owf (tptp.c_Set_Oinsert @t171 @t40 @t24) @t1)) % 1.51/1.72 (define @t173 () (not @t172)) % 1.51/1.72 (define @t174 () (tptp.c_Transitive__Closure_Ortrancl @t40 @t1)) % 1.51/1.72 (define @t175 () (tptp.c_in @t106 @t174 @t24)) % 1.51/1.72 (define @t176 () (not @t175)) % 1.51/1.72 (define @t177 () (@list @t9 @t105 @t1 @t40)) % 1.51/1.72 (define @t178 () (not (tptp.c_in @t19 @t6 @t1))) % 1.51/1.72 (define @t179 () (tptp.c_Relation_OField @t40 @t1)) % 1.51/1.72 (define @t180 () (tptp.c_Relation_Oantisym @t40 @t1)) % 1.51/1.72 (define @t181 () (not @t180)) % 1.51/1.72 (define @t182 () (not @t103)) % 1.51/1.72 (define @t183 () (tptp.c_Pair @t9 @t9 @t1 @t1)) % 1.51/1.72 (define @t184 () (tptp.c_Relation_Oconverse @t40 @t1 @t1)) % 1.51/1.72 (define @t185 () (tptp.c_List_Osko__Equiv__Relations__XquotientE__1__1 @t6 @t90 @t40 @t1)) % 1.51/1.72 (define @t186 () (not (tptp.c_lessequals @t40 (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t43 @t5 @t1) @t1 @t1) @t25))) % 1.51/1.72 (define @t187 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1 @t6 @t43 @t40 @t1)) % 1.51/1.72 (define @t188 () (tptp.c_Wellfounded_Owf @t40 @t1)) % 1.51/1.72 (define @t189 () (@list @t40 @t1 @t6 @t43)) % 1.51/1.72 (define @t190 () (tptp.c_in @t105 @t6 @t1)) % 1.51/1.72 (define @t191 () (not @t190)) % 1.51/1.72 (define @t192 () (= (tptp.c_Equiv__Relations_Oquotient @t47 @t40 @t1) (tptp.c_Equiv__Relations_Oquotient @t109 @t40 @t1))) % 1.51/1.72 (define @t193 () (@list @t9 @t1 @t40 @t105 @t6)) % 1.51/1.72 (define @t194 () (not @t111)) % 1.51/1.72 (define @t195 () (@var "V_z" $$unsorted)) % 1.51/1.72 (define @t196 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 @t195 @t1)) % 1.51/1.72 (define @t197 () (tptp.c_lessequals @t9 @t196 @t1)) % 1.51/1.72 (define @t198 () (not @t197)) % 1.51/1.72 (define @t199 () (tptp.c_lessequals @t9 @t195 @t1)) % 1.51/1.72 (define @t200 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 1.51/1.72 (define @t201 () (@list @t1 @t9 @t195 @t105)) % 1.51/1.72 (define @t202 () (tptp.c_lessequals @t9 @t105 @t1)) % 1.51/1.72 (define @t203 () (@list @t1 @t9 @t105 @t195)) % 1.51/1.72 (define @t204 () (tptp.c_lessequals @t20 @t9 @t1)) % 1.51/1.72 (define @t205 () (@list @t1 @t15 @t19 @t9)) % 1.51/1.72 (define @t206 () (tptp.c_lessequals @t9 @t20 @t1)) % 1.51/1.72 (define @t207 () (not @t206)) % 1.51/1.72 (define @t208 () (tptp.c_lessequals @t9 @t19 @t1)) % 1.51/1.72 (define @t209 () (tptp.c_lessequals @t9 @t15 @t1)) % 1.51/1.72 (define @t210 () (@list @t1 @t9 @t15 @t19)) % 1.51/1.72 (define @t211 () (tptp.c_lessequals @t28 @t64 @t5)) % 1.51/1.72 (define @t212 () (not @t211)) % 1.51/1.72 (define @t213 () (tptp.c_lessequals @t28 @t6 @t5)) % 1.51/1.72 (define @t214 () (tptp.c_lessequals @t28 @t43 @t5)) % 1.51/1.72 (define @t215 () (tptp.c_Relation_OId__on @t6 @t1)) % 1.51/1.72 (define @t216 () (tptp.c_in @t15 @t28 @t1)) % 1.51/1.72 (define @t217 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t28 @t5)) % 1.51/1.72 (define @t218 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t142 @t28 @t5)) % 1.51/1.72 (define @t219 () (@list @t15 @t43 @t1 @t28)) % 1.51/1.72 (define @t220 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t142 @t5)) % 1.51/1.72 (define @t221 () (@list @t6 @t15 @t43 @t1)) % 1.51/1.72 (define @t222 () (tptp.c_Relation_Oconverse @t40 @t32 @t1)) % 1.51/1.72 (define @t223 () (tptp.c_lessequals @t6 @t143 @t5)) % 1.51/1.72 (define @t224 () (not @t223)) % 1.51/1.72 (define @t225 () (tptp.c_lessequals @t6 @t43 @t5)) % 1.51/1.72 (define @t226 () (@list @t6 @t43 @t1 @t9)) % 1.51/1.72 (define @t227 () (not @t225)) % 1.51/1.72 (define @t228 () (not @t118)) % 1.51/1.72 (define @t229 () (tptp.c_Set_Oinsert @t105 @t6 @t1)) % 1.51/1.72 (define @t230 () (tptp.hBOOL (tptp.hAPP @t229 @t9))) % 1.51/1.72 (define @t231 () (tptp.c_lessequals @t140 @t43 @t5)) % 1.51/1.72 (define @t232 () (not @t231)) % 1.51/1.72 (define @t233 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t105 @t1)) % 1.51/1.72 (define @t234 () (= @t233 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 @t9 @t1))) % 1.51/1.72 (define @t235 () (not (tptp.class_Lattices_Olattice @t1))) % 1.51/1.72 (define @t236 () (@list @t1 @t9 @t105)) % 1.51/1.72 (define @t237 () (@list @t6 @t43 @t1)) % 1.51/1.72 (define @t238 () (tptp.c_lessequals @t105 @t9 @t1)) % 1.51/1.72 (define @t239 () (not @t238)) % 1.51/1.72 (define @t240 () (= @t233 @t9)) % 1.51/1.72 (define @t241 () (not @t202)) % 1.51/1.72 (define @t242 () (not (tptp.c_lessequals @t43 @t6 @t5))) % 1.51/1.72 (define @t243 () (@var "V_J" $$unsorted)) % 1.51/1.72 (define @t244 () (@var "V_I" $$unsorted)) % 1.51/1.72 (define @t245 () (not @t113)) % 1.51/1.72 (define @t246 () (tptp.c_Complete__Lattice_OInf__class_OInf @t6 @t1)) % 1.51/1.72 (define @t247 () (tptp.c_Relation_Otrans @t184 @t1)) % 1.51/1.72 (define @t248 () (tptp.c_Set_Oinsert @t15 @t64 @t1)) % 1.51/1.72 (define @t249 () (= @t105 @t9)) % 1.51/1.72 (define @t250 () (tptp.c_Pair @t15 @t19 @t1 @t32)) % 1.51/1.72 (define @t251 () (@list @t15 @t19 @t1 @t32 @t40)) % 1.51/1.72 (define @t252 () (tptp.c_Finite__Set_Ofinite @t59 @t1)) % 1.51/1.72 (define @t253 () (tptp.c_Relation_Oinv__image @t40 @t35 @t1 @t32)) % 1.51/1.72 (define @t254 () (@list @t40 @t35 @t1 @t32)) % 1.51/1.72 (define @t255 () (tptp.c_Set_Oimage @t35 @t43 @t32 @t1)) % 1.51/1.72 (define @t256 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t43 @t33)) % 1.51/1.72 (define @t257 () (@list @t35 @t6 @t43 @t32 @t1)) % 1.51/1.72 (define @t258 () (tptp.c_COMBK @t28 @t33 @t1)) % 1.51/1.72 (define @t259 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t196 @t1)) % 1.51/1.72 (define @t260 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t233 @t195 @t1) @t259)) % 1.51/1.72 (define @t261 () (= @t259 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t195 @t1) @t1))) % 1.51/1.72 (define @t262 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t217 @t5)) % 1.51/1.72 (define @t263 () (tptp.c_Relation_Orefl__on @t6 @t40 @t1)) % 1.51/1.72 (define @t264 () (not @t263)) % 1.51/1.72 (define @t265 () (@var "V_h" $$unsorted)) % 1.51/1.72 (define @t266 () (tptp.hAPP @t35 @t15)) % 1.51/1.72 (define @t267 () (tptp.c_lessequals @t233 @t9 @t1)) % 1.51/1.72 (define @t268 () (tptp.c_lessequals @t233 @t105 @t1)) % 1.51/1.72 (define @t269 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t233 @t1) @t233)) % 1.51/1.72 (define @t270 () (not @t188)) % 1.51/1.72 (define @t271 () (@var "V_r_H" $$unsorted)) % 1.51/1.72 (define @t272 () (not (tptp.c_Finite__Set_Ofinite @t43 @t1))) % 1.51/1.72 (define @t273 () (@list @t6 @t1 @t43)) % 1.51/1.72 (define @t274 () (@list @t35 @t6 @t1 @t32 @t43)) % 1.51/1.72 (define @t275 () (@list @t40 @t1 @t6)) % 1.51/1.72 (define @t276 () (tptp.c_Pair @t19 @t17 @t1 @t1)) % 1.51/1.72 (define @t277 () (not (tptp.c_in @t276 @t40 @t24))) % 1.51/1.72 (define @t278 () (tptp.c_Pair @t15 @t17 @t1 @t1)) % 1.51/1.72 (define @t279 () (@list @t15 @t17 @t1 @t40 @t19)) % 1.51/1.72 (define @t280 () (tptp.c_Pair @t105 @t195 @t1 @t1)) % 1.51/1.72 (define @t281 () (not (tptp.c_in @t280 @t40 @t24))) % 1.51/1.72 (define @t282 () (tptp.c_Pair @t9 @t195 @t1 @t1)) % 1.51/1.72 (define @t283 () (@list @t9 @t195 @t1 @t40 @t105)) % 1.51/1.72 (define @t284 () (@var "V_M" $$unsorted)) % 1.51/1.72 (define @t285 () (@list @t105 @t9 @t1 @t40)) % 1.51/1.72 (define @t286 () (tptp.c_Transitive__Closure_Ortrancl @t2 @t1)) % 1.51/1.72 (define @t287 () (tptp.c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 @t6 @t43 @t35 @t1 @t32)) % 1.51/1.72 (define @t288 () (tptp.tc_fun @t1 @t32)) % 1.51/1.72 (define @t289 () (tptp.c_COMBK @t43 @t33 @t1)) % 1.51/1.72 (define @t290 () (tptp.c_in @t35 (tptp.c_FuncSet_OPi @t6 @t289 @t1 @t32) @t288)) % 1.51/1.72 (define @t291 () (not @t290)) % 1.51/1.72 (define @t292 () (tptp.c_Relation_Orel__comp @t184 @t40 @t1 @t1 @t1)) % 1.51/1.72 (define @t293 () (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t6 @t5 @t1) @t1 @t1)) % 1.51/1.72 (define @t294 () (tptp.c_lessequals @t40 @t293 @t25)) % 1.51/1.72 (define @t295 () (not @t294)) % 1.51/1.72 (define @t296 () (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1 @t6 @t40 @t1)) % 1.51/1.72 (define @t297 () (@list @t6 @t40 @t1)) % 1.51/1.72 (define @t298 () (tptp.c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1 @t6 @t40 @t1)) % 1.51/1.72 (define @t299 () (tptp.c_in @t99 @t127 @t24)) % 1.51/1.72 (define @t300 () (not @t299)) % 1.51/1.72 (define @t301 () (not (tptp.c_in @t276 @t174 @t24))) % 1.51/1.72 (define @t302 () (tptp.c_in @t278 @t127 @t24)) % 1.51/1.72 (define @t303 () (tptp.c_in @t99 @t174 @t24)) % 1.51/1.72 (define @t304 () (@list @t15 @t19 @t1 @t40)) % 1.51/1.72 (define @t305 () (tptp.c_in @t106 @t286 @t24)) % 1.51/1.72 (define @t306 () (not @t305)) % 1.51/1.72 (define @t307 () (= @t9 @t105)) % 1.51/1.72 (define @t308 () (@list @t9 @t105 @t1 @t2)) % 1.51/1.72 (define @t309 () (not @t303)) % 1.51/1.72 (define @t310 () (not (tptp.c_in @t43 @t6 @t5))) % 1.51/1.72 (define @t311 () (tptp.c_Relation_Orel__comp @t40 @t174 @t1 @t1 @t1)) % 1.51/1.72 (define @t312 () (tptp.c_Relation_Orel__comp @t174 @t40 @t1 @t1 @t1)) % 1.51/1.72 (define @t313 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 @t6 @t28 @t1)) % 1.51/1.72 (define @t314 () (tptp.c_in @t6 (tptp.c_Complete__Lattice_OInf__class_OInf @t28 @t5) @t1)) % 1.51/1.72 (define @t315 () (@list @t6 @t28 @t1)) % 1.51/1.72 (define @t316 () (tptp.c_Wellfounded_Oacc @t40 @t1)) % 1.51/1.72 (define @t317 () (tptp.c_in @t15 @t316 @t1)) % 1.51/1.72 (define @t318 () (not @t317)) % 1.51/1.72 (define @t319 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t11 @t40 @t1)) % 1.51/1.72 (define @t320 () (tptp.hBOOL (tptp.hAPP @t11 @t15))) % 1.51/1.72 (define @t321 () (@list @t11 @t15 @t40 @t1)) % 1.51/1.72 (define @t322 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t40 @t9 @t1)) % 1.51/1.72 (define @t323 () (tptp.c_in @t9 @t316 @t1)) % 1.51/1.72 (define @t324 () (@list @t9 @t40 @t1)) % 1.51/1.72 (define @t325 () (tptp.c_Wellfounded_Oacc @t40 tptp.t_a)) % 1.51/1.72 (define @t326 () (not (tptp.c_in @t9 @t325 tptp.t_a))) % 1.51/1.72 (define @t327 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t11 @t40)) % 1.51/1.72 (define @t328 () (@list @t11 @t9 @t40)) % 1.51/1.72 (define @t329 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t11 @t40 @t1)) % 1.51/1.72 (define @t330 () (tptp.c_Wellfounded_Oacc @t2 @t1)) % 1.51/1.72 (define @t331 () (tptp.c_in @t9 @t330 @t1)) % 1.51/1.72 (define @t332 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t2 @t9 @t1)) % 1.51/1.72 (define @t333 () (@list @t2 @t9 @t1)) % 1.51/1.72 (define @t334 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t11 @t40)) % 1.51/1.72 (define @t335 () (@var "V_p" $$unsorted)) % 1.51/1.72 (define @t336 () (tptp.c_in @t335 @t127 @t24)) % 1.51/1.72 (define @t337 () (tptp.c_in @t19 (tptp.c_Relation_OImage @t40 @t6 @t32 @t1) @t1)) % 1.51/1.72 (define @t338 () (not @t337)) % 1.51/1.72 (define @t339 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t6 @t19 @t40 @t32 @t1)) % 1.51/1.72 (define @t340 () (@list @t6 @t19 @t40 @t32 @t1)) % 1.51/1.72 (define @t341 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t6 @t19 @t40 @t32 @t1)) % 1.51/1.72 (define @t342 () (not (tptp.c_in @t9 @t28 @t1))) % 1.51/1.72 (define @t343 () (tptp.c_COMBK @t28 @t5 @t32)) % 1.51/1.72 (define @t344 () (tptp.c_Product__Type_OSigma @t43 @t343 @t32 @t1)) % 1.51/1.72 (define @t345 () (tptp.c_Product__Type_OSigma @t6 @t343 @t32 @t1)) % 1.51/1.72 (define @t346 () (@list @t6 @t28 @t1 @t32 @t43 @t9)) % 1.51/1.72 (define @t347 () (@var "V_Q" $$unsorted)) % 1.51/1.72 (define @t348 () (not (tptp.c_in @t9 @t347 @t1))) % 1.51/1.72 (define @t349 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t347 @t2 @t1)) % 1.51/1.72 (define @t350 () (not (tptp.c_in @t44 @t347 @t1))) % 1.51/1.72 (define @t351 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t347 @t40 @t1)) % 1.51/1.72 (define @t352 () (@var "V_r2" $$unsorted)) % 1.51/1.72 (define @t353 () (@var "V_r1" $$unsorted)) % 1.51/1.72 (define @t354 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t353 @t352 @t35 @t1 @t32 @t51))) % 1.51/1.72 (define @t355 () (@var "V_z1" $$unsorted)) % 1.51/1.72 (define @t356 () (@var "V_y1" $$unsorted)) % 1.51/1.72 (define @t357 () (tptp.tc_prod @t32 @t32)) % 1.51/1.72 (define @t358 () (@var "V_z2" $$unsorted)) % 1.51/1.72 (define @t359 () (@var "V_y2" $$unsorted)) % 1.51/1.72 (define @t360 () (tptp.c_in @t278 @t174 @t24)) % 1.51/1.72 (define @t361 () (tptp.c_Pair @t15 @t15 @t1 @t1)) % 1.51/1.72 (define @t362 () (@list @t15 @t1 @t40)) % 1.51/1.72 (define @t363 () (tptp.c_in @t183 @t286 @t24)) % 1.51/1.72 (define @t364 () (@list @t40 @t6 @t1)) % 1.51/1.72 (define @t365 () (not (tptp.c_lessequals @t271 @t40 @t38))) % 1.51/1.72 (define @t366 () (@var "V_A_H" $$unsorted)) % 1.51/1.72 (define @t367 () (tptp.c_Relation_OImage @t40 @t6 @t1 @t32)) % 1.51/1.72 (define @t368 () (not (tptp.c_lessequals @t11 @t347 @t5))) % 1.51/1.72 (define @t369 () (tptp.hBOOL (tptp.hAPP @t347 @t9))) % 1.51/1.72 (define @t370 () (@list @t347 @t9 @t11 @t1)) % 1.51/1.72 (define @t371 () (tptp.c_lessequals @t9 @t9 @t1)) % 1.51/1.72 (define @t372 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.51/1.72 (define @t373 () (not (tptp.class_Orderings_Oorder @t1))) % 1.51/1.72 (define @t374 () (tptp.c_Transitive__Closure_Ortrancl @t184 @t1)) % 1.51/1.72 (define @t375 () (tptp.c_Transitive__Closure_Ortrancl @t122 @t1)) % 1.51/1.72 (define @t376 () (tptp.c_lessequals @t174 @t375 @t25)) % 1.51/1.72 (define @t377 () (not (tptp.c_lessequals @t40 (tptp.c_Product__Type_OSigma @t6 @t289 @t1 @t32) @t38))) % 1.51/1.72 (define @t378 () (tptp.tc_prod @t32 @t51)) % 1.51/1.72 (define @t379 () (tptp.tc_fun @t378 tptp.tc_bool)) % 1.51/1.72 (define @t380 () (tptp.tc_fun @t51 tptp.tc_bool)) % 1.51/1.72 (define @t381 () (tptp.c_Relation_Orel__comp @t40 @t122 @t1 @t32 @t51)) % 1.51/1.72 (define @t382 () (tptp.c_lessequals @t6 @t43 @t33)) % 1.51/1.72 (define @t383 () (tptp.c_lessequals @t345 @t344 @t71)) % 1.51/1.72 (define @t384 () (@var "V_s_H" $$unsorted)) % 1.51/1.72 (define @t385 () (@var "V_S" $$unsorted)) % 1.51/1.72 (define @t386 () (@var "V_R2" $$unsorted)) % 1.51/1.72 (define @t387 () (@var "V_R1" $$unsorted)) % 1.51/1.72 (define @t388 () (@var "V_g" $$unsorted)) % 1.51/1.72 (define @t389 () (= (tptp.c_Recdef_Ocut @t35 @t40 @t9 @t1 @t32) (tptp.c_Recdef_Ocut @t388 @t40 @t9 @t1 @t32))) % 1.51/1.72 (define @t390 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t35 @t388 @t40 @t9 @t1 @t32)) % 1.51/1.72 (define @t391 () (@var "V_t" $$unsorted)) % 1.51/1.72 (define @t392 () (not (tptp.c_in @t335 @t40 @t24))) % 1.51/1.72 (define @t393 () (@list @t335 @t40 @t1)) % 1.51/1.72 (define @t394 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t40 @t1)) % 1.51/1.72 (define @t395 () (tptp.c_in @t183 @t40 @t24)) % 1.51/1.72 (define @t396 () (@list @t9 @t1 @t40)) % 1.51/1.72 (define @t397 () (tptp.c_in @t171 @t174 @t24)) % 1.51/1.72 (define @t398 () (tptp.c_in @t106 @t374 @t24)) % 1.51/1.72 (define @t399 () (not (tptp.c_in (tptp.c_Pair @t15 @t17 @t1 @t32) (tptp.c_Relation_Orel__comp @t40 @t122 @t1 @t51 @t32) @t37))) % 1.51/1.72 (define @t400 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t15 @t17 @t40 @t122 @t1 @t32 @t51)) % 1.51/1.72 (define @t401 () (@list @t15 @t17 @t40 @t122 @t1 @t32 @t51)) % 1.51/1.72 (define @t402 () (@list @t35 @t9 @t43 @t32 @t6 @t1)) % 1.51/1.72 (define @t403 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 @t6 @t43 @t35 @t1 @t32)) % 1.51/1.72 (define @t404 () (tptp.c_in @t35 (tptp.c_FuncSet_OPi @t6 @t43 @t1 @t32) @t288)) % 1.51/1.72 (define @t405 () (@list @t35 @t6 @t43 @t1 @t32)) % 1.51/1.72 (define @t406 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 @t6 @t43 @t35 @t1 @t32)) % 1.51/1.72 (define @t407 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t335 @t1)) % 1.51/1.72 (define @t408 () (not (tptp.c_in @t17 @t215 @t24))) % 1.51/1.72 (define @t409 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t6 @t17 @t1)) % 1.51/1.72 (define @t410 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t40 @t1)) % 1.51/1.72 (define @t411 () (tptp.c_Nitpick_Orefl_H @t40 @t1)) % 1.51/1.72 (define @t412 () (not (tptp.c_in @t105 @t347 @t1))) % 1.51/1.72 (define @t413 () (tptp.c_in @t9 (tptp.c_Relation_ODomain @t2 @t1 @t1) @t1)) % 1.51/1.72 (define @t414 () (tptp.c_in @t15 @t41 @t1)) % 1.51/1.72 (define @t415 () (not @t414)) % 1.51/1.72 (define @t416 () (@list @t15 @t40 @t1 @t32)) % 1.51/1.72 (define @t417 () (tptp.hBOOL (tptp.hAPP @t11 @t105))) % 1.51/1.72 (define @t418 () (@list @t11 @t15 @t105 @t40 @t1)) % 1.51/1.72 (define @t419 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 1.51/1.72 (define @t420 () (@var "V_ya" $$unsorted)) % 1.51/1.72 (define @t421 () (tptp.c_in @t420 @t325 tptp.t_a)) % 1.51/1.72 (define @t422 () (@list @t11 @t9 @t420 @t40)) % 1.51/1.72 (define @t423 () (@list @t11 @t9 @t105 @t40)) % 1.51/1.72 (define @t424 () (tptp.c_Pair @t19 @t15 @t1 @t1)) % 1.51/1.72 (define @t425 () (not (tptp.c_in @t424 @t174 @t24))) % 1.51/1.72 (define @t426 () (tptp.c_in @t19 @t316 @t1)) % 1.51/1.72 (define @t427 () (@list @t19 @t40 @t1 @t15)) % 1.51/1.72 (define @t428 () (tptp.c_in @t15 @t81 @t1)) % 1.51/1.72 (define @t429 () (tptp.c_in @t171 @t40 @t24)) % 1.51/1.72 (define @t430 () (not @t429)) % 1.51/1.72 (define @t431 () (tptp.c_Pair @t9 @t15 @t1 @t1)) % 1.51/1.72 (define @t432 () (not (tptp.c_in @t431 @t40 @t24))) % 1.51/1.72 (define @t433 () (not (tptp.c_in @t276 @t127 @t24))) % 1.51/1.72 (define @t434 () (tptp.c_in @t250 @t222 @t37)) % 1.51/1.72 (define @t435 () (tptp.c_Pair @t19 @t15 @t32 @t1)) % 1.51/1.72 (define @t436 () (tptp.c_in @t435 @t40 @t70)) % 1.51/1.72 (define @t437 () (@list @t19 @t15 @t32 @t1 @t40)) % 1.51/1.72 (define @t438 () (not (tptp.c_in @t250 @t40 @t37))) % 1.51/1.72 (define @t439 () (tptp.c_Relation_Oconverse @t40 @t1 @t32)) % 1.51/1.72 (define @t440 () (tptp.c_Transitive__Closure_Otrancl @t184 @t1)) % 1.51/1.72 (define @t441 () (tptp.c_in @t106 @t440 @t24)) % 1.51/1.72 (define @t442 () (tptp.c_Relation_Oconverse @t127 @t1 @t1)) % 1.51/1.72 (define @t443 () (tptp.c_in @t106 @t442 @t24)) % 1.51/1.72 (define @t444 () (tptp.c_Relation_Osym @t184 @t1)) % 1.51/1.72 (define @t445 () (tptp.c_Relation_ODomain @t40 @t1 @t1)) % 1.51/1.72 (define @t446 () (tptp.c_Relation_Orefl__on @t6 @t184 @t1)) % 1.51/1.72 (define @t447 () (tptp.c_Wellfounded_Owf @t83 @t1)) % 1.51/1.72 (define @t448 () (= @t184 @t40)) % 1.51/1.72 (define @t449 () (@var "T_d" $$unsorted)) % 1.51/1.72 (define @t450 () (@var "V_T" $$unsorted)) % 1.51/1.72 (define @t451 () (= @t292 @t40)) % 1.51/1.72 (define @t452 () (tptp.c_Relation_Oantisym @t184 @t1)) % 1.51/1.72 (define @t453 () (tptp.c_Relation_ODomain @t222 @t1 @t32)) % 1.51/1.72 (define @t454 () (tptp.c_Relation_Ototal__on @t6 @t184 @t1)) % 1.51/1.72 (define @t455 () (tptp.c_Relation_Ototal__on @t6 @t40 @t1)) % 1.51/1.72 (define @t456 () (not @t455)) % 1.51/1.72 (define @t457 () (tptp.c_in @t424 @t40 @t24)) % 1.51/1.72 (define @t458 () (tptp.hAPP @t35 @t105)) % 1.51/1.72 (define @t459 () (not (tptp.c_in @t106 @t215 @t24))) % 1.51/1.72 (define @t460 () (tptp.c_in @t361 @t40 @t24)) % 1.51/1.72 (define @t461 () (tptp.c_in (tptp.c_Pair @t149 @t458 @t32 @t32) @t40 @t357)) % 1.51/1.72 (define @t462 () (tptp.c_in @t106 (tptp.c_Relation_Oinv__image @t40 @t35 @t32 @t1) @t24)) % 1.51/1.72 (define @t463 () (not @t404)) % 1.51/1.72 (define @t464 () (tptp.c_in @t149 @t116 @t32)) % 1.51/1.72 (define @t465 () (not (tptp.c_in @t9 @t89 @t5))) % 1.51/1.72 (define @t466 () (not (tptp.c_in @t90 @t28 @t5))) % 1.51/1.72 (define @t467 () (tptp.c_in @t6 @t90 @t1)) % 1.51/1.72 (define @t468 () (= @t9 @t195)) % 1.51/1.72 (define @t469 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t470 () (@var "V_L" $$unsorted)) % 1.51/1.72 (define @t471 () (tptp.c_Pair @t9 @t105 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t472 () (tptp.c_in @t471 @t470 @t469)) % 1.51/1.72 (define @t473 () (not @t472)) % 1.51/1.72 (define @t474 () (tptp.c_in @t471 (tptp.c_Arrow__Order__Mirabelle_Omktop @t470 @t195) @t469)) % 1.51/1.72 (define @t475 () (@list @t9 @t105 @t470 @t195)) % 1.51/1.72 (define @t476 () (= @t105 @t195)) % 1.51/1.72 (define @t477 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t470 @t9)) % 1.51/1.72 (define @t478 () (tptp.c_Pair @t9 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t479 () (@list @t9 @t470)) % 1.51/1.72 (define @t480 () (@list @t9 @t105 @t470)) % 1.51/1.72 (define @t481 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t470 @t9)) % 1.51/1.72 (define @t482 () (tptp.c_Pair @t44 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t483 () (@list @t44 @t9 @t470)) % 1.51/1.72 (define @t484 () (tptp.c_in @t471 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t470 @t195) @t469)) % 1.51/1.72 (define @t485 () (= @t44 @t9)) % 1.51/1.72 (define @t486 () (tptp.tc_fun @t469 tptp.tc_bool)) % 1.51/1.72 (define @t487 () (tptp.c_in @t470 tptp.c_Arrow__Order__Mirabelle_OLin @t486)) % 1.51/1.72 (define @t488 () (not @t487)) % 1.51/1.72 (define @t489 () (@list @t470 @t9)) % 1.51/1.72 (define @t490 () (@list @t470 @t9 @t105)) % 1.51/1.72 (define @t491 () (tptp.c_in (tptp.c_Relation_Oconverse @t470 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.c_Arrow__Order__Mirabelle_OLin @t486)) % 1.51/1.72 (define @t492 () (@list @t470)) % 1.51/1.72 (define @t493 () (tptp.c_in @t19 (tptp.hAPP @t43 @t15) @t32)) % 1.51/1.72 (define @t494 () (tptp.c_in @t250 @t166 @t37)) % 1.51/1.72 (define @t495 () (@list @t105 @t6 @t1 @t9 @t40)) % 1.51/1.72 (define @t496 () (@list @t9 @t6 @t1 @t105 @t40)) % 1.51/1.72 (define @t497 () (not @t494)) % 1.51/1.72 (define @t498 () (= @t9 @t44)) % 1.51/1.72 (define @t499 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t470 @t15 @t19)) % 1.51/1.72 (define @t500 () (@list @t9 @t470 @t15 @t19)) % 1.51/1.72 (define @t501 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t470 @t15 @t9)) % 1.51/1.72 (define @t502 () (tptp.c_in @t482 @t501 @t469)) % 1.51/1.72 (define @t503 () (= @t15 @t9)) % 1.51/1.72 (define @t504 () (tptp.c_in (tptp.c_Pair @t44 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) % 1.51/1.72 (define @t505 () (not @t504)) % 1.51/1.72 (define @t506 () (@list @t44 @t15 @t470 @t9)) % 1.51/1.72 (define @t507 () (tptp.c_in @t471 (tptp.c_Arrow__Order__Mirabelle_Oabove @t470 @t9 @t19) @t469)) % 1.51/1.72 (define @t508 () (= @t9 @t19)) % 1.51/1.72 (define @t509 () (tptp.c_in @t471 @t499 @t469)) % 1.51/1.72 (define @t510 () (= @t105 @t19)) % 1.51/1.72 (define @t511 () (@list @t44 @t9 @t470 @t15)) % 1.51/1.72 (define @t512 () (tptp.c_in (tptp.c_Pair @t15 @t105 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) % 1.51/1.72 (define @t513 () (tptp.c_in @t471 @t501 @t469)) % 1.51/1.72 (define @t514 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t470 @t9 @t19)) % 1.51/1.72 (define @t515 () (tptp.c_in @t471 @t514 @t469)) % 1.51/1.72 (define @t516 () (not (tptp.c_in (tptp.c_Pair @t9 @t19 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469))) % 1.51/1.72 (define @t517 () (tptp.c_in (tptp.c_Pair @t19 @t105 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) % 1.51/1.72 (define @t518 () (not @t517)) % 1.51/1.72 (define @t519 () (@list @t19 @t105 @t470 @t9)) % 1.51/1.72 (define @t520 () (not (tptp.c_in @t482 @t470 @t469))) % 1.51/1.72 (define @t521 () (tptp.c_in @t482 (tptp.c_Arrow__Order__Mirabelle_Obelow @t470 @t15 @t9) @t469)) % 1.51/1.72 (define @t522 () (= @t9 @t15)) % 1.51/1.72 (define @t523 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t470 @t15 @t19)) % 1.51/1.72 (define @t524 () (tptp.c_in @t471 @t523 @t469)) % 1.51/1.72 (define @t525 () (@list @t9 @t105 @t470 @t15 @t19)) % 1.51/1.72 (define @t526 () (= @t105 @t15)) % 1.51/1.72 (define @t527 () (tptp.c_Pair @t9 @t44 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t528 () (tptp.c_in @t527 (tptp.c_Arrow__Order__Mirabelle_Obelow @t470 @t9 @t44) @t469)) % 1.51/1.72 (define @t529 () (not @t512)) % 1.51/1.72 (define @t530 () (not (tptp.c_in (tptp.c_Pair @t9 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469))) % 1.51/1.72 (define @t531 () (tptp.c_in @t482 (tptp.c_Arrow__Order__Mirabelle_Oabove @t470 @t44 @t9) @t469)) % 1.51/1.72 (define @t532 () (tptp.c_in (tptp.c_Pair @t44 @t19 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) % 1.51/1.72 (define @t533 () (tptp.c_in @t482 @t514 @t469)) % 1.51/1.72 (define @t534 () (@var "V_b_H" $$unsorted)) % 1.51/1.72 (define @t535 () (@var "V_a_H" $$unsorted)) % 1.51/1.72 (define @t536 () (not (= @t250 (tptp.c_Pair @t535 @t534 @t1 @t32)))) % 1.51/1.72 (define @t537 () (@list @t15 @t19 @t1 @t32 @t535 @t534)) % 1.51/1.72 (define @t538 () (tptp.c_in (tptp.c_Pair @t105 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) % 1.51/1.72 (define @t539 () (tptp.hBOOL (tptp.hAPP @t385 @t9))) % 1.51/1.72 (define @t540 () (tptp.c_in @t9 @t385 @t1)) % 1.51/1.72 (define @t541 () (tptp.c_in tptp.v_R____ tptp.c_Arrow__Order__Mirabelle_OLin @t486)) % 1.51/1.72 (define @t542 () (tptp.c_Pair tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t543 () (forall (@list @t9) (or (not (tptp.c_in @t542 @t9 @t469)) (not (tptp.c_in @t9 tptp.c_Arrow__Order__Mirabelle_OLin @t486))))) % 1.51/1.72 (define @t544 () (@var "T_2" $$unsorted)) % 1.51/1.72 (define @t545 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t544))) % 1.51/1.72 (define @t546 () (@var "T_1" $$unsorted)) % 1.51/1.72 (define @t547 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t546))) % 1.51/1.72 (define @t548 () (@list @t544 @t546)) % 1.51/1.72 (define @t549 () (tptp.tc_fun @t544 @t546)) % 1.51/1.72 (define @t550 () (not (tptp.class_Lattices_Olattice @t546))) % 1.51/1.72 (define @t551 () (@list tptp.v_R____)) % 1.51/1.72 (define @t552 () (not @t541)) % 1.51/1.72 (define @t553 () (tptp.c_Relation_Oconverse tptp.v_R____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.51/1.72 (define @t554 () (tptp.c_in @t553 tptp.c_Arrow__Order__Mirabelle_OLin @t486)) % 1.51/1.72 (define @t555 () (or @t554 @t552)) % 1.51/1.72 (define @t556 () (@list false false)) % 1.51/1.72 (define @t557 () (tptp.c_in @t542 tptp.v_R____ @t469)) % 1.51/1.72 (define @t558 () (not @t557)) % 1.51/1.72 (define @t559 () (or @t558 @t552)) % 1.51/1.72 (define @t560 () (= tptp.v_b tptp.v_a)) % 1.51/1.72 (define @t561 () (tptp.c_in (tptp.c_Pair tptp.v_b tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_R____ @t469)) % 1.51/1.72 (define @t562 () (or @t557 @t561 @t560 @t552)) % 1.51/1.72 (define @t563 () (not @t561)) % 1.51/1.72 (define @t564 () (tptp.c_in @t542 @t553 @t469)) % 1.51/1.72 (define @t565 () (or @t564 @t563)) % 1.51/1.72 (define @t566 () (not @t554)) % 1.51/1.72 (define @t567 () (not @t564)) % 1.51/1.72 (define @t568 () (or @t567 @t566)) % 1.51/1.72 (define @t569 () (not @t568)) % 1.51/1.72 (assume @p1 (forall (@list @t6 @t1 @t2) (or @t8 (not (tptp.c_lessequals @t6 (tptp.c_Relation_OImage @t2 @t6 @t1 @t1) @t5)) @t4))) % 1.51/1.72 (assume @p2 (forall @t14 (or @t13 @t10))) % 1.51/1.72 (assume @p3 (forall @t16 (not (tptp.c_in @t15 @t7 @t1)))) % 1.51/1.72 (assume @p4 (forall (@list @t17 @t1) (not (tptp.c_in @t17 @t7 @t1)))) % 1.51/1.72 (assume @p5 (forall @t14 (or @t12 @t10))) % 1.51/1.72 (assume @p6 (forall @t18 @t10)) % 1.51/1.72 (assume @p7 (forall (@list @t1 @t15 @t19) (or @t23 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t22 @t1) @t20)))) % 1.51/1.72 (assume @p8 (forall @t27 (= (tptp.c_Relation_OField @t26 @t1) @t7))) % 1.51/1.72 (assume @p9 (forall (@list @t28 @t1 @t6 @t9) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t6 @t5) @t7)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t6 @t5) @t7) (not (tptp.c_in @t9 @t28 @t5))))) % 1.51/1.72 (assume @p10 (forall @t31 (or @t23 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t1) @t15)))) % 1.51/1.72 (assume @p11 (forall (@list @t1 @t35 @t32) (= @t7 @t36))) % 1.51/1.72 (assume @p12 (forall @t42 (or (not (= @t41 @t7)) (= @t40 @t39)))) % 1.51/1.72 (assume @p13 (forall (@list @t1 @t43 @t32) (= (tptp.c_Product__Type_OSigma @t7 @t43 @t1 @t32) @t39))) % 1.51/1.72 (assume @p14 (forall @t27 (tptp.c_Wellfounded_Owf @t26 @t1))) % 1.51/1.72 (assume @p15 (forall (@list @t9 @t44 @t1) (or (not (= (tptp.c_Set_Oinsert @t9 @t44 @t1) @t7)) (tptp.c_in @t9 @t44 @t1)))) % 1.51/1.72 (assume @p16 (forall (@list @t17 @t1 @t32) (= (tptp.c_Set_Oimage @t45 @t34 @t32 @t1) @t7))) % 1.51/1.72 (assume @p17 (forall @t27 (= (tptp.c_Relation_OId__on @t7 @t1) @t26))) % 1.51/1.72 (assume @p18 (forall (@list @t15 @t1 @t19) (or (not (= @t30 @t21)) @t46))) % 1.51/1.72 (assume @p19 (forall (@list @t35 @t32 @t1) (= @t36 @t7))) % 1.51/1.72 (assume @p20 (forall (@list @t44 @t9 @t1) (= (tptp.c_Set_Oinsert @t44 @t47 @t1) (tptp.c_Set_Oinsert @t9 (tptp.c_Set_Oinsert @t44 @t7 @t1) @t1)))) % 1.51/1.72 (assume @p21 (forall (@list @t1 @t32) (= (tptp.c_Relation_ODomain @t39 @t1 @t32) @t7))) % 1.51/1.72 (assume @p22 (forall (@list @t19 @t15 @t1) (or (= @t19 @t15) (not (tptp.c_in @t19 @t30 @t1))))) % 1.51/1.72 (assume @p23 (forall @t27 (= (tptp.c_Transitive__Closure_Ortrancl @t26 @t1) @t48))) % 1.51/1.72 (assume @p24 (forall (@list @t1 @t35 @t6 @t32) (or (not (= @t7 @t50)) @t49))) % 1.51/1.72 (assume @p25 (forall (@list @t1 @t51 @t2 @t32) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t53) @t2 @t1 @t51 @t32) @t39))) % 1.51/1.72 (assume @p26 (forall (@list @t2 @t51 @t32 @t1) (= (tptp.c_Relation_Orel__comp @t2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t54 tptp.tc_bool)) @t1 @t51 @t32) @t39))) % 1.51/1.72 (assume @p27 (forall @t55 (tptp.c_lessequals @t7 @t6 @t5))) % 1.51/1.72 (assume @p28 (forall @t56 (tptp.c_lessequals @t26 @t43 @t25))) % 1.51/1.72 (assume @p29 (forall @t58 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t57 @t9 @t1)))) % 1.51/1.72 (assume @p30 (forall @t60 (not (= @t59 @t7)))) % 1.51/1.72 (assume @p31 (forall @t61 (= (tptp.c_Relation_OImage @t2 @t34 @t32 @t1) @t7))) % 1.51/1.72 (assume @p32 (forall @t58 (or @t62 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t57 @t1) @t57)))) % 1.51/1.72 (assume @p33 (forall @t58 (or @t62 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t9 @t1) @t57)))) % 1.51/1.72 (assume @p34 (forall @t56 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t43 @t5) @t7))) % 1.51/1.72 (assume @p35 (forall @t63 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t7 @t5) @t7))) % 1.51/1.72 (assume @p36 (forall @t27 (tptp.c_Finite__Set_Ofinite @t7 @t1))) % 1.51/1.72 (assume @p37 (forall @t27 (or @t23 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t7 @t1) @t57)))) % 1.51/1.72 (assume @p38 (forall @t58 (not (tptp.hBOOL (tptp.hAPP @t7 @t9))))) % 1.51/1.72 (assume @p39 (forall (@list @t17 @t1 @t32 @t6) (or (= (tptp.c_Set_Oimage @t45 @t6 @t32 @t1) (tptp.c_Set_Oinsert @t17 @t7 @t1)) @t49))) % 1.51/1.72 (assume @p40 (forall @t69 (or @t68 @t66 (not (= @t64 @t7))))) % 1.51/1.72 (assume @p41 (forall @t27 (tptp.c_Relation_Oantisym @t26 @t1))) % 1.51/1.72 (assume @p42 (forall (@list @t32 @t1) (= (tptp.c_Relation_ORange @t72 @t32 @t1) @t7))) % 1.51/1.72 (assume @p43 (forall @t77 (or @t76 @t75 @t73))) % 1.51/1.72 (assume @p44 (forall @t77 (or @t76 @t78 @t73))) % 1.51/1.72 (assume @p45 (forall @t77 (or @t76 @t75 @t79))) % 1.51/1.72 (assume @p46 (forall @t77 (or @t76 @t78 @t79))) % 1.51/1.72 (assume @p47 (forall @t63 (or @t8 (not (tptp.c_lessequals @t6 @t7 @t5))))) % 1.51/1.72 (assume @p48 (forall @t27 (tptp.c_lessequals @t7 @t7 @t5))) % 1.51/1.72 (assume @p49 (forall @t80 (not (= @t7 @t59)))) % 1.51/1.72 (assume @p50 (forall @t27 (tptp.c_Relation_Orefl__on @t7 @t26 @t1))) % 1.51/1.72 (assume @p51 (forall (@list @t1 @t40) (tptp.c_Relation_Ototal__on @t7 @t40 @t1))) % 1.51/1.72 (assume @p52 (forall @t31 (or @t23 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t1) @t15)))) % 1.51/1.72 (assume @p53 (forall (@list @t35 @t6 @t32 @t1) (or (not (= @t50 @t7)) @t49))) % 1.51/1.72 (assume @p54 (forall @t18 (tptp.c_in @t9 @t47 @t1))) % 1.51/1.72 (assume @p55 (forall (@list @t6 @t9 @t1) (or (= @t6 @t47) @t8 (not (tptp.c_lessequals @t6 @t47 @t5))))) % 1.51/1.72 (assume @p56 (forall (@list @t6 @t32 @t1) (= (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t34 @t33 @t1) @t1 @t32) @t39))) % 1.51/1.72 (assume @p57 (forall @t27 (= (tptp.c_Transitive__Closure_Otrancl @t26 @t1) @t26))) % 1.51/1.72 (assume @p58 (forall @t82 (or (not (= @t81 @t7)) (= @t40 @t72)))) % 1.51/1.72 (assume @p59 (forall @t84 (or (not (= @t83 @t26)) @t3))) % 1.51/1.72 (assume @p60 (forall (@list @t17 @t32 @t1 @t6 @t9) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t17 @t32 @t1) @t6 @t1 @t32) (tptp.c_Set_Oinsert @t17 @t34 @t32)) @t66))) % 1.51/1.72 (assume @p61 (forall (@list @t15 @t40 @t1 @t6) (or (tptp.c_in @t15 @t88 @t1) @t87 @t85))) % 1.51/1.72 (assume @p62 (forall (@list @t90 @t92 @t1 @t6 @t40) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t90 @t92 @t5) @t7) @t94 @t93 @t91 @t85))) % 1.51/1.72 (assume @p63 (forall @t98 (or @t97 (not @t95)))) % 1.51/1.72 (assume @p64 (forall (@list @t19 @t40 @t15 @t32 @t1) (or @t95 (not @t97)))) % 1.51/1.72 (assume @p65 (forall @t104 (or @t103 @t101 @t85))) % 1.51/1.72 (assume @p66 (forall @t112 (or @t111 @t108 @t85))) % 1.51/1.72 (assume @p67 (forall (@list @t40 @t9 @t1 @t6) (or (tptp.c_in @t110 @t89 @t5) @t66))) % 1.51/1.72 (assume @p68 (forall @t55 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t113))) % 1.51/1.72 (assume @p69 (forall (@list @t6 @t43 @t32 @t1) (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t43 @t71) @t32 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_ORange @t6 @t32 @t1) (tptp.c_Relation_ORange @t43 @t32 @t1) @t5) @t5))) % 1.51/1.72 (assume @p70 (forall (@list @t43 @t9 @t6 @t1) (or @t117 @t115))) % 1.51/1.72 (assume @p71 (forall @t119 (or @t118 @t115))) % 1.51/1.72 (assume @p72 (forall @t98 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t96 @t40 @t70) @t32 @t1) (tptp.c_Set_Oinsert @t19 @t81 @t1)))) % 1.51/1.72 (assume @p73 (forall @t124 (or (tptp.c_Relation_Osym @t123 @t1) (not (tptp.c_Relation_Osym @t122 @t1)) @t121))) % 1.51/1.72 (assume @p74 (forall @t128 (or (= @t127 @t40) @t126))) % 1.51/1.72 (assume @p75 (forall @t132 (or @t131 (not (tptp.c_Finite__Set_Ofinite @t129 @t1))))) % 1.51/1.72 (assume @p76 (forall @t132 (or @t131 @t133))) % 1.51/1.72 (assume @p77 (forall (@list @t17 @t6 @t43 @t1) (or @t137 (not @t136) @t135))) % 1.51/1.72 (assume @p78 (forall (@list @t15 @t19 @t6 @t1) (or @t138 @t87))) % 1.51/1.72 (assume @p79 (forall (@list @t15 @t19 @t43 @t1) (or (tptp.c_in @t15 @t139 @t1) (not (tptp.c_in @t15 @t43 @t1))))) % 1.51/1.72 (assume @p80 (forall (@list @t15 @t6 @t1 @t19) (or @t86 @t46 (not @t138)))) % 1.51/1.72 (assume @p81 (forall @t141 (tptp.c_in @t9 @t140 @t1))) % 1.51/1.72 (assume @p82 (forall (@list @t15 @t43 @t1) (tptp.c_in @t15 @t142 @t1))) % 1.51/1.72 (assume @p83 (forall (@list @t9 @t43 @t1) (tptp.c_in @t9 @t143 @t1))) % 1.51/1.72 (assume @p84 (forall @t145 (or @t136 @t144))) % 1.51/1.72 (assume @p85 (forall (@list @t17 @t6 @t1 @t43) (or @t134 @t144))) % 1.51/1.72 (assume @p86 (forall @t147 (or (not (= @t140 @t143)) @t67 @t65 @t146))) % 1.51/1.72 (assume @p87 (forall @t60 (or (= @t59 @t6) @t87))) % 1.51/1.72 (assume @p88 (forall (@list @t9 @t6 @t148 @t35 @t1) (or (not (tptp.c_in @t9 @t6 @t148)) (tptp.c_in @t149 (tptp.c_Set_Oimage @t35 @t6 @t148 @t1) @t1)))) % 1.51/1.72 (assume @p89 (forall @t152 (or @t151 @t150))) % 1.51/1.72 (assume @p90 (forall (@list @t35 @t9 @t6 @t32 @t1) (or @t150 @t151))) % 1.51/1.72 (assume @p91 (forall @t154 (or (tptp.c_in @t149 @t153 @t32) @t66))) % 1.51/1.72 (assume @p92 (forall @t159 (or (tptp.c_in (tptp.c_Pair @t9 @t158 @t1 @t1) @t2 @t24) @t157))) % 1.51/1.72 (assume @p93 (forall @t161 (or (tptp.c_in (tptp.c_Pair @t160 @t105 @t1 @t1) @t2 @t24) @t157))) % 1.51/1.72 (assume @p94 (forall @t168 (or @t167 (not (tptp.c_lessequals (tptp.hAPP @t43 @t165) (tptp.hAPP @t164 @t165) @t33)) @t163))) % 1.51/1.72 (assume @p95 (forall @t170 (or (tptp.c_lessequals @t127 @t122 @t25) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t127 @t122 @t25) @t40 @t1 @t1 @t1) @t122 @t25)) @t169))) % 1.51/1.72 (assume @p96 (forall @t177 (or @t176 @t173))) % 1.51/1.72 (assume @p97 (forall (@list @t15 @t19 @t1 @t40 @t9 @t6) (or @t100 (not (tptp.c_in @t9 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t88 @t102 @t5) @t1)) @t85))) % 1.51/1.72 (assume @p98 (forall (@list @t15 @t19 @t1 @t40 @t6) (or @t100 @t178 (not (tptp.c_lessequals @t102 @t88 @t5)) @t85))) % 1.51/1.72 (assume @p99 (forall (@list @t40 @t15 @t1 @t19) (or @t182 (not (tptp.c_in @t19 @t179 @t1)) (not (tptp.c_in @t15 @t179 @t1)) @t181 (not (tptp.c_Relation_Orefl__on @t179 @t40 @t1)) @t46))) % 1.51/1.72 (assume @p100 (forall (@list @t40 @t1 @t9) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t184 @t174 @t25) @t26)) (not (tptp.c_in @t183 @t127 @t24))))) % 1.51/1.72 (assume @p101 (forall (@list @t90 @t40 @t6 @t1) (or (= @t90 (tptp.c_Relation_OImage @t40 (tptp.c_Set_Oinsert @t185 @t7 @t1) @t1 @t1)) @t91))) % 1.51/1.72 (assume @p102 (forall @t189 (or @t188 (not (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2 @t6 @t43 @t40 @t187 @t1)) @t186))) % 1.51/1.72 (assume @p103 (forall @t193 (or @t192 @t108 @t191 @t66 @t85))) % 1.51/1.72 (assume @p104 (forall @t193 (or (not @t192) @t191 @t66 @t85 @t107))) % 1.51/1.72 (assume @p105 (forall @t104 (or (tptp.c_lessequals @t88 @t102 @t5) @t101 @t85))) % 1.51/1.72 (assume @p106 (forall @t112 (or @t194 @t191 @t66 @t85 @t107))) % 1.51/1.72 (assume @p107 (forall @t104 (or @t182 @t100 @t178 @t85))) % 1.51/1.72 (assume @p108 (forall @t112 (or @t194 @t85 @t107 @t191 @t66))) % 1.51/1.72 (assume @p109 (forall @t112 (or @t111 @t108 @t191 @t66 @t85))) % 1.51/1.72 (assume @p110 (forall @t201 (or @t200 @t199 @t198))) % 1.51/1.72 (assume @p111 (forall @t203 (or @t200 @t202 @t198))) % 1.51/1.72 (assume @p112 (forall @t205 (or @t200 @t204 (not (tptp.c_lessequals @t19 @t9 @t1))))) % 1.51/1.72 (assume @p113 (forall @t205 (or @t200 @t204 (not (tptp.c_lessequals @t15 @t9 @t1))))) % 1.51/1.72 (assume @p114 (forall (@list @t1 @t9 @t19 @t15) (or @t200 @t208 @t207))) % 1.51/1.72 (assume @p115 (forall @t210 (or @t200 @t209 @t207))) % 1.51/1.72 (assume @p116 (forall (@list @t28 @t6 @t1 @t43) (or @t213 @t212))) % 1.51/1.72 (assume @p117 (forall (@list @t28 @t43 @t1 @t6) (or @t214 @t212))) % 1.51/1.72 (assume @p118 (forall @t63 (tptp.c_Relation_Otrans @t215 @t1))) % 1.51/1.72 (assume @p119 (forall @t219 (or (= @t218 @t217) @t216))) % 1.51/1.72 (assume @p120 (forall @t221 (or (= @t220 @t64) @t86))) % 1.51/1.72 (assume @p121 (forall (@list @t40 @t122 @t32 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t122 @t71) @t32 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t222 (tptp.c_Relation_Oconverse @t122 @t32 @t1) @t38)))) % 1.51/1.72 (assume @p122 (forall @t226 (or @t225 @t224 @t65))) % 1.51/1.72 (assume @p123 (forall @t119 (or @t223 @t227 @t65))) % 1.51/1.72 (assume @p124 (forall @t226 (or @t225 @t65 @t224))) % 1.51/1.72 (assume @p125 (forall @t154 (or (= (tptp.c_Set_Oinsert @t149 @t153 @t32) @t153) @t66))) % 1.51/1.72 (assume @p126 (forall (@list @t105 @t6 @t1 @t9) (or @t230 @t228))) % 1.51/1.72 (assume @p127 (forall @t69 (or @t67 @t232))) % 1.51/1.72 (assume @p128 (forall @t128 (= (tptp.c_Relation_OField @t184 @t1) @t179))) % 1.51/1.72 (assume @p129 (forall @t236 (or @t235 @t234))) % 1.51/1.72 (assume @p130 (forall @t236 (or @t200 @t234))) % 1.51/1.72 (assume @p131 (forall @t237 (= @t64 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t6 @t5)))) % 1.51/1.72 (assume @p132 (forall @t236 (or @t200 (= @t233 @t105) @t239))) % 1.51/1.72 (assume @p133 (forall @t236 (or @t200 (not @t240) @t202))) % 1.51/1.72 (assume @p134 (forall @t236 (or @t200 @t240 @t241))) % 1.51/1.72 (assume @p135 (forall @t237 (or (= @t64 @t43) @t242))) % 1.51/1.72 (assume @p136 (forall @t237 (or (= @t64 @t6) @t227))) % 1.51/1.72 (assume @p137 (forall (@list @t9 @t105 @t6 @t1) (= (tptp.c_Set_Oinsert @t9 @t229 @t1) (tptp.c_Set_Oinsert @t105 @t140 @t1)))) % 1.51/1.72 (assume @p138 (forall @t128 (tptp.c_Relation_Otrans @t127 @t1))) % 1.51/1.72 (assume @p139 (forall (@list @t244 @t243 @t1 @t28 @t32) (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t244 @t243 @t5) @t28 @t1 @t32) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Product__Type_OSigma @t244 @t28 @t1 @t32) (tptp.c_Product__Type_OSigma @t243 @t28 @t1 @t32) @t38)))) % 1.51/1.72 (assume @p140 (forall (@list @t35 @t9 @t43 @t1 @t6 @t32) (or (tptp.c_in @t149 @t43 @t1) @t151 (not (tptp.c_lessequals @t50 @t43 @t5))))) % 1.51/1.72 (assume @p141 (forall (@list @t43 @t32 @t35 @t6 @t1) (or (tptp.c_Finite__Set_Ofinite @t43 @t32) (not (tptp.c_lessequals @t43 @t153 @t33)) @t245))) % 1.51/1.72 (assume @p142 (forall @t226 (or @t225 @t232))) % 1.51/1.72 (assume @p143 (forall (@list @t6 @t19 @t43 @t1) (or (tptp.c_lessequals @t6 @t139 @t5) @t227))) % 1.51/1.72 (assume @p144 (forall @t80 (or @t23 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t59 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t246 @t1))))) % 1.51/1.72 (assume @p145 (forall @t128 (tptp.c_Relation_Otrans @t174 @t1))) % 1.51/1.72 (assume @p146 (forall @t128 (or @t125 (not @t247)))) % 1.51/1.72 (assume @p147 (forall @t128 (or @t247 @t126))) % 1.51/1.72 (assume @p148 (forall (@list @t15 @t6 @t1 @t43) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t59 @t142 @t5) @t248))) % 1.51/1.72 (assume @p149 (forall @t141 (= (tptp.c_Set_Oinsert @t9 @t140 @t1) @t140))) % 1.51/1.72 (assume @p150 (forall (@list @t6 @t9 @t105 @t1) (or @t118 @t249 (not @t230)))) % 1.51/1.72 (assume @p151 (forall @t251 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t250 @t40 @t37) @t1 @t32) (tptp.c_Set_Oinsert @t15 @t41 @t1)))) % 1.51/1.72 (assume @p152 (forall (@list @t6 @t43 @t1 @t32) (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t43 @t38) @t1 @t32) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_ODomain @t6 @t1 @t32) (tptp.c_Relation_ODomain @t43 @t1 @t32) @t5) @t5))) % 1.51/1.72 (assume @p153 (forall (@list @t43 @t15 @t1) (tptp.c_lessequals @t43 @t142 @t5))) % 1.51/1.72 (assume @p154 (forall (@list @t6 @t1 @t15) (or @t113 (not @t252)))) % 1.51/1.72 (assume @p155 (forall @t60 (or @t252 @t245))) % 1.51/1.72 (assume @p156 (forall @t254 (or (tptp.c_Relation_Otrans @t253 @t32) @t126))) % 1.51/1.72 (assume @p157 (forall @t257 (tptp.c_lessequals (tptp.c_Set_Oimage @t35 @t256 @t32 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t255 @t5) @t5))) % 1.51/1.72 (assume @p158 (forall (@list @t2 @t6 @t43 @t32 @t1) (tptp.c_lessequals (tptp.c_Relation_OImage @t2 @t256 @t32 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Relation_OImage @t2 @t6 @t32 @t1) (tptp.c_Relation_OImage @t2 @t43 @t32 @t1) @t5) @t5))) % 1.51/1.72 (assume @p159 (forall (@list @t6 @t43 @t1 @t28 @t32) (= (tptp.c_Product__Type_OSigma @t64 @t258 @t1 @t32) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Product__Type_OSigma @t6 @t258 @t1 @t32) (tptp.c_Product__Type_OSigma @t43 @t258 @t1 @t32) @t38)))) % 1.51/1.72 (assume @p160 (forall @t128 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t40 @t40 @t1 @t1 @t1) @t40 @t25) @t126))) % 1.51/1.72 (assume @p161 (forall @t203 (or @t235 @t260))) % 1.51/1.72 (assume @p162 (forall @t203 (or @t235 @t261))) % 1.51/1.72 (assume @p163 (forall @t203 (or @t200 @t261))) % 1.51/1.72 (assume @p164 (forall @t203 (or @t200 @t260))) % 1.51/1.72 (assume @p165 (forall (@list @t6 @t43 @t1 @t28) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t28 @t5) @t262))) % 1.51/1.72 (assume @p166 (forall (@list @t6 @t43 @t28 @t1) (= @t262 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t28 @t5) @t5)))) % 1.51/1.72 (assume @p167 (forall @t27 (tptp.c_Relation_Otrans @t48 @t1))) % 1.51/1.72 (assume @p168 (forall @t124 (or (tptp.c_Relation_Otrans @t123 @t1) (not (tptp.c_Relation_Otrans @t122 @t1)) @t126))) % 1.51/1.72 (assume @p169 (forall (@list @t6 @t43 @t1 @t40 @t122) (or (tptp.c_Relation_Orefl__on @t64 @t123 @t1) (not (tptp.c_Relation_Orefl__on @t43 @t122 @t1)) @t264))) % 1.51/1.72 (assume @p170 (forall (@list @t265 @t130 @t1 @t32) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t265 @t130 @t1 @t32) @t32) @t133))) % 1.51/1.72 (assume @p171 (forall @t219 (or (= @t218 (tptp.c_Set_Oinsert @t15 @t217 @t1)) (not @t216)))) % 1.51/1.72 (assume @p172 (forall @t221 (or (= @t220 @t248) @t87))) % 1.51/1.72 (assume @p173 (forall (@list @t35 @t15 @t43 @t32 @t1) (= (tptp.c_Set_Oimage @t35 (tptp.c_Set_Oinsert @t15 @t43 @t32) @t32 @t1) (tptp.c_Set_Oinsert @t266 @t255 @t1)))) % 1.51/1.72 (assume @p174 (forall @t236 (or @t235 @t267))) % 1.51/1.72 (assume @p175 (forall @t236 (or @t235 @t268))) % 1.51/1.72 (assume @p176 (forall @t203 (or @t200 @t197 (not @t199) @t241))) % 1.51/1.72 (assume @p177 (forall @t210 (or @t200 @t206 (not @t208) (not @t209)))) % 1.51/1.72 (assume @p178 (forall @t236 (or @t200 @t268))) % 1.51/1.72 (assume @p179 (forall @t236 (or @t200 @t267))) % 1.51/1.72 (assume @p180 (forall @t237 (tptp.c_lessequals @t64 @t6 @t5))) % 1.51/1.72 (assume @p181 (forall @t237 (tptp.c_lessequals @t64 @t43 @t5))) % 1.51/1.72 (assume @p182 (forall (@list @t28 @t6 @t43 @t1) (or @t211 (not @t214) (not @t213)))) % 1.51/1.72 (assume @p183 (forall @t141 (tptp.hBOOL (tptp.hAPP @t140 @t9)))) % 1.51/1.72 (assume @p184 (forall @t147 (or @t231 @t227 @t68))) % 1.51/1.72 (assume @p185 (forall @t236 (or @t235 @t269))) % 1.51/1.72 (assume @p186 (forall @t236 (or @t200 @t269))) % 1.51/1.72 (assume @p187 (forall @t237 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t64 @t5) @t64))) % 1.51/1.72 (assume @p188 (forall @t170 (or (tptp.c_lessequals @t179 (tptp.c_Relation_OField @t122 @t1) @t5) @t169))) % 1.51/1.72 (assume @p189 (forall (@list @t40 @t271 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t271 @t25) @t1) @t270))) % 1.51/1.72 (assume @p190 (forall (@list @t271 @t40 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t271 @t40 @t25) @t1) @t270))) % 1.51/1.72 (assume @p191 (forall @t58 (or @t200 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t9 @t1) @t9)))) % 1.51/1.72 (assume @p192 (forall @t63 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t6 @t5) @t6))) % 1.51/1.72 (assume @p193 (forall @t273 (or @t113 @t272 @t227))) % 1.51/1.72 (assume @p194 (forall @t273 (or @t113 @t227 @t272))) % 1.51/1.72 (assume @p195 (forall (@list @t6 @t43 @t1 @t28 @t164) (or (tptp.c_lessequals @t64 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t164 @t5) @t5) (not (tptp.c_lessequals @t43 @t164 @t5)) @t163))) % 1.51/1.72 (assume @p196 (forall @t226 (or @t114 (not @t117) @t228))) % 1.51/1.72 (assume @p197 (forall @t274 (or (tptp.c_lessequals @t153 (tptp.c_Set_Oimage @t35 @t43 @t1 @t32) @t33) @t227))) % 1.51/1.72 (assume @p198 (forall @t152 (or (not (tptp.c_lessequals @t9 @t6 @t33)) (tptp.c_lessequals (tptp.c_Set_Oimage @t35 @t9 @t32 @t1) @t50 @t5)))) % 1.51/1.72 (assume @p199 (forall (@list @t15 @t28 @t1 @t164) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t15 @t28 @t1) (tptp.c_Set_Oinsert @t15 @t164 @t1) @t5) (not (tptp.c_lessequals @t28 @t164 @t5))))) % 1.51/1.72 (assume @p200 (forall @t275 (or @t125 @t85))) % 1.51/1.72 (assume @p201 (forall @t279 (or (tptp.c_in @t278 @t40 @t24) @t277 @t101 @t126))) % 1.51/1.72 (assume @p202 (forall @t283 (or (tptp.c_in @t282 @t40 @t24) @t281 @t108 @t126))) % 1.51/1.72 (assume @p203 (forall (@list @t40 @t1 @t105 @t9) (or @t188 @t173))) % 1.51/1.72 (assume @p204 (forall (@list @t284 @t1 @t9) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Complete__Lattice_OInf__class_OInf @t284 @t5) @t1) (not (tptp.c_Finite__Set_Ofinite @t9 @t1)) (not (tptp.c_in @t9 @t284 @t5))))) % 1.51/1.72 (assume @p205 (forall @t128 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t184 @t25) @t1))) % 1.51/1.72 (assume @p206 (forall @t273 (= (tptp.c_Relation_OImage @t215 @t43 @t1 @t1) @t64))) % 1.51/1.72 (assume @p207 (forall @t285 (or @t172 @t175 @t270))) % 1.51/1.72 (assume @p208 (forall @t159 (or (tptp.c_in (tptp.c_Pair @t9 @t160 @t1 @t1) @t286 @t24) @t157))) % 1.51/1.72 (assume @p209 (forall @t161 (or (tptp.c_in (tptp.c_Pair @t158 @t105 @t1 @t1) @t286 @t24) @t157))) % 1.51/1.72 (assume @p210 (forall @t168 (or @t167 (tptp.c_in @t165 @t6 @t1) @t163))) % 1.51/1.72 (assume @p211 (forall @t257 (or @t290 (not (tptp.c_in (tptp.hAPP @t35 @t287) @t43 @t32))))) % 1.51/1.72 (assume @p212 (forall @t257 (or @t290 (tptp.c_in @t287 @t6 @t1)))) % 1.51/1.72 (assume @p213 (forall @t274 (or (tptp.c_lessequals @t153 @t43 @t33) @t291))) % 1.51/1.72 (assume @p214 (forall @t128 (tptp.c_lessequals @t127 (tptp.c_Product__Type_OSigma @t179 (tptp.c_COMBK @t179 @t5 @t1) @t1 @t1) @t25))) % 1.51/1.72 (assume @p215 (forall @t170 (or (tptp.c_lessequals @t174 @t122 @t25) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t174 @t122 @t25) @t40 @t1 @t1 @t1) @t122 @t25)) (not (tptp.c_lessequals @t48 @t122 @t25))))) % 1.51/1.72 (assume @p216 (forall @t128 (or (tptp.c_lessequals @t292 @t40 @t25) @t126 @t121))) % 1.51/1.72 (assume @p217 (forall @t189 (or @t188 (tptp.c_in @t187 @t43 @t1) @t186))) % 1.51/1.72 (assume @p218 (forall @t189 (or @t188 (tptp.c_in @t187 @t6 @t1) @t186))) % 1.51/1.72 (assume @p219 (forall @t297 (or @t263 (tptp.c_in @t296 @t6 @t1) @t295))) % 1.51/1.72 (assume @p220 (forall @t297 (or @t263 (tptp.c_in @t298 @t6 @t1) @t295))) % 1.51/1.72 (assume @p221 (forall (@list @t90 @t1 @t6 @t40) (or (tptp.c_Finite__Set_Ofinite @t90 @t1) @t91 @t295 @t245))) % 1.51/1.72 (assume @p222 (forall @t297 (or @t263 (not (tptp.c_in (tptp.c_Pair @t298 @t298 @t1 @t1) @t40 @t24)) @t295))) % 1.51/1.72 (assume @p223 (forall @t297 (or @t263 (not (tptp.c_in (tptp.c_Pair @t296 @t296 @t1 @t1) @t40 @t24)) @t295))) % 1.51/1.72 (assume @p224 (forall @t283 (or (tptp.c_in @t282 @t127 @t24) (not (tptp.c_in @t280 @t127 @t24)) @t176))) % 1.51/1.72 (assume @p225 (forall @t279 (or @t302 @t301 @t300))) % 1.51/1.72 (assume @p226 (forall @t304 (or @t303 @t300))) % 1.51/1.72 (assume @p227 (forall (@list @t15 @t19 @t1 @t2) (or (tptp.c_in @t99 @t155 @t24) @t46 (not (tptp.c_in @t99 @t286 @t24))))) % 1.51/1.72 (assume @p228 (forall @t308 (or @t156 @t307 @t306))) % 1.51/1.72 (assume @p229 (forall @t308 (or @t305 @t157 @t307))) % 1.51/1.72 (assume @p230 (forall @t279 (or @t302 @t277 @t309))) % 1.51/1.72 (assume @p231 (forall @t279 (or @t302 @t301 @t101))) % 1.51/1.72 (assume @p232 (forall @t273 (or (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf @t6 @t5) @t43 @t5) @t310))) % 1.51/1.72 (assume @p233 (forall @t128 (= @t127 @t311))) % 1.51/1.72 (assume @p234 (forall @t128 (= @t127 @t312))) % 1.51/1.72 (assume @p235 (forall @t315 (or @t314 (not (tptp.c_in @t6 @t313 @t1))))) % 1.51/1.72 (assume @p236 (forall @t321 (or @t320 (tptp.c_in @t319 @t316 @t1) @t318))) % 1.51/1.72 (assume @p237 (forall @t324 (or @t323 (not (tptp.c_in @t322 @t316 @t1))))) % 1.51/1.72 (assume @p238 (forall @t328 (or @t12 (not (tptp.hBOOL (tptp.hAPP @t11 @t327))) @t326))) % 1.51/1.72 (assume @p239 (forall @t321 (or @t320 (not (tptp.hBOOL (tptp.hAPP @t11 @t329))) @t318))) % 1.51/1.72 (assume @p240 (forall @t333 (or (not (tptp.c_in @t332 @t330 @t1)) @t331))) % 1.51/1.72 (assume @p241 (forall @t321 (or @t320 (tptp.c_in @t329 @t316 @t1) @t318))) % 1.51/1.72 (assume @p242 (forall @t328 (or @t12 (not (tptp.hBOOL (tptp.hAPP @t11 @t334))) @t326))) % 1.51/1.72 (assume @p243 (forall @t321 (or @t320 (not (tptp.hBOOL (tptp.hAPP @t11 @t319))) @t318))) % 1.51/1.72 (assume @p244 (forall (@list @t1 @t6 @t9) (or @t23 (tptp.c_lessequals @t246 @t9 @t1) @t66))) % 1.51/1.72 (assume @p245 (forall (@list @t43 @t6 @t1) (or (tptp.c_lessequals @t43 (tptp.c_Complete__Lattice_OSup__class_OSup @t6 @t5) @t5) @t310))) % 1.51/1.72 (assume @p246 (forall (@list @t335 @t122 @t1 @t40) (or (tptp.c_in @t335 (tptp.c_Transitive__Closure_Otrancl @t122 @t1) @t24) @t169 (not @t336)))) % 1.51/1.72 (assume @p247 (forall @t340 (or (tptp.c_in @t339 @t6 @t32) @t338))) % 1.51/1.72 (assume @p248 (forall @t340 (or (tptp.c_in @t341 @t6 @t32) @t338))) % 1.51/1.72 (assume @p249 (forall @t346 (or (not (= @t345 @t344)) @t342 @t146))) % 1.51/1.72 (assume @p250 (forall (@list @t347 @t2 @t1 @t9) (or (tptp.c_in @t349 @t347 @t1) @t348 @t4))) % 1.51/1.72 (assume @p251 (forall (@list @t347 @t40 @t1 @t44) (or (tptp.c_in @t351 @t347 @t1) @t350 @t270))) % 1.51/1.72 (assume @p252 (forall (@list @t1 @t9 @t6) (or @t23 (tptp.c_lessequals @t9 (tptp.c_Complete__Lattice_OSup__class_OSup @t6 @t1) @t1) @t66))) % 1.51/1.72 (assume @p253 (forall (@list @t35 @t356 @t359 @t355 @t358 @t32 @t352 @t1 @t353 @t51) (or (= (tptp.hAPP (tptp.hAPP @t35 @t356) @t359) (tptp.hAPP (tptp.hAPP @t35 @t355) @t358)) (not (tptp.c_in (tptp.c_Pair @t359 @t358 @t32 @t32) @t352 @t357)) (not (tptp.c_in (tptp.c_Pair @t356 @t355 @t1 @t1) @t353 @t24)) @t354))) % 1.51/1.72 (assume @p254 (forall @t279 (or @t360 @t277 @t309))) % 1.51/1.72 (assume @p255 (forall @t279 (or @t360 @t301 @t101))) % 1.51/1.72 (assume @p256 (forall @t279 (or @t360 @t301 @t309))) % 1.51/1.72 (assume @p257 (forall @t362 (tptp.c_in @t361 @t174 @t24))) % 1.51/1.72 (assume @p258 (forall (@list @t9 @t1 @t2) @t363)) % 1.51/1.72 (assume @p259 (forall (@list @t1 @t105 @t9) (or (not (tptp.class_Orderings_Olinorder @t1)) @t238 @t202))) % 1.51/1.72 (assume @p260 (forall @t128 (= (tptp.c_Transitive__Closure_Ortrancl @t174 @t1) @t174))) % 1.51/1.72 (assume @p261 (forall @t364 (or @t294 @t85))) % 1.51/1.72 (assume @p262 (forall @t84 (= (tptp.c_Transitive__Closure_Ortrancl @t155 @t1) @t286))) % 1.51/1.72 (assume @p263 (forall (@list @t271 @t366 @t1 @t32 @t40 @t6) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t271 @t366 @t1 @t32) @t367 @t33) (not (tptp.c_lessequals @t366 @t6 @t5)) @t365))) % 1.51/1.72 (assume @p264 (forall (@list @t40 @t1 @t32 @t122) (or (tptp.c_lessequals @t41 (tptp.c_Relation_ODomain @t122 @t1 @t32) @t5) (not (tptp.c_lessequals @t40 @t122 @t38))))) % 1.51/1.72 (assume @p265 (forall @t370 (or @t369 @t368 @t13))) % 1.51/1.72 (assume @p266 (forall @t170 (or @t180 (not (tptp.c_Relation_Oantisym @t122 @t1)) @t169))) % 1.51/1.72 (assume @p267 (forall @t58 (or @t372 @t371))) % 1.51/1.72 (assume @p268 (forall @t58 (or @t373 @t371))) % 1.51/1.72 (assume @p269 (forall (@list @t335 @t1 @t40) (or (tptp.c_Wellfounded_Owf @t335 @t1) (not (tptp.c_lessequals @t335 @t40 @t25)) @t270))) % 1.51/1.72 (assume @p270 (forall @t370 (or @t369 @t13 @t368))) % 1.51/1.72 (assume @p271 (forall (@list @t6 @t28 @t1 @t43) (or @t162 (not (tptp.c_lessequals @t43 @t28 @t5)) @t227))) % 1.51/1.72 (assume @p272 (forall @t63 (tptp.c_lessequals @t6 @t6 @t5))) % 1.51/1.72 (assume @p273 (forall @t18 (tptp.c_lessequals @t9 @t9 @t5))) % 1.51/1.72 (assume @p274 (forall @t201 (or @t372 @t199 (not (tptp.c_lessequals @t105 @t195 @t1)) @t241))) % 1.51/1.72 (assume @p275 (forall (@list @t1 @t195 @t9 @t105) (or @t373 (tptp.c_lessequals @t195 @t9 @t1) (not (tptp.c_lessequals @t195 @t105 @t1)) @t239))) % 1.51/1.72 (assume @p276 (forall @t128 (= @t374 (tptp.c_Relation_Oconverse @t174 @t1 @t1)))) % 1.51/1.72 (assume @p277 (forall @t170 (or @t376 (not (tptp.c_lessequals @t40 @t375 @t25))))) % 1.51/1.72 (assume @p278 (forall @t275 (or (tptp.c_lessequals @t127 @t293 @t25) @t295))) % 1.51/1.72 (assume @p279 (forall @t236 (or @t373 @t307 @t241 @t239))) % 1.51/1.72 (assume @p280 (forall @t236 (or @t373 @t307 @t239 @t241))) % 1.51/1.72 (assume @p281 (forall @t237 (or @t146 @t242 @t227))) % 1.51/1.72 (assume @p282 (forall @t84 (= (tptp.c_Relation_Orel__comp @t286 @t286 @t1 @t1 @t1) @t286))) % 1.51/1.72 (assume @p283 (forall (@list @t40 @t122 @t1 @t32 @t51 @t6 @t28 @t43) (or (tptp.c_lessequals @t381 (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t28 @t380 @t1) @t1 @t51) @t53) (not (tptp.c_lessequals @t122 (tptp.c_Product__Type_OSigma @t43 (tptp.c_COMBK @t28 @t380 @t32) @t32 @t51) @t379)) @t377))) % 1.51/1.72 (assume @p284 (forall @t170 (or @t376 @t169))) % 1.51/1.72 (assume @p285 (forall @t84 (= (tptp.c_Transitive__Closure_Otrancl @t286 @t1) @t286))) % 1.51/1.72 (assume @p286 (forall @t128 (= @t311 @t312))) % 1.51/1.72 (assume @p287 (forall @t346 (or @t383 (not @t382) @t342))) % 1.51/1.72 (assume @p288 (forall (@list @t6 @t43 @t32 @t28 @t1 @t9) (or @t382 (not @t383) @t342))) % 1.51/1.72 (assume @p289 (forall @t63 (tptp.c_lessequals @t215 @t293 @t25))) % 1.51/1.72 (assume @p290 (forall @t364 (or @t294 @t264))) % 1.51/1.72 (assume @p291 (forall (@list @t271 @t384 @t1 @t32 @t51 @t40 @t122) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t271 @t384 @t1 @t32 @t51) @t381 @t53) (not (tptp.c_lessequals @t384 @t122 @t379)) @t365))) % 1.51/1.72 (assume @p292 (forall (@list @t11 @t1 @t32 @t347) (= (tptp.hAPP (tptp.c_COMBK @t11 @t1 @t32) @t347) @t11))) % 1.51/1.72 (assume @p293 (forall (@list @t40 @t28 @t1 @t32 @t43 @t6) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t40 @t28 @t1 @t32) @t43 @t33) @t377))) % 1.51/1.72 (assume @p294 (forall @t128 (or (tptp.c_Relation_Osym @t174 @t1) @t121))) % 1.51/1.72 (assume @p295 (forall (@list @t385 @t1 @t2) (or (= (tptp.c_Transitive__Closure_Ortrancl @t385 @t1) @t286) (not (tptp.c_lessequals @t385 @t286 @t25)) (not (tptp.c_lessequals @t2 @t385 @t25))))) % 1.51/1.72 (assume @p296 (forall (@list @t15 @t6 @t1 @t19 @t40) (or @t86 @t46 @t295 @t309))) % 1.51/1.72 (assume @p297 (forall (@list @t386 @t1 @t387) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t386 @t1) (tptp.c_Wellfounded_Oacc @t387 @t1) @t5) (not (tptp.c_lessequals @t387 @t386 @t25))))) % 1.51/1.72 (assume @p298 (forall (@list @t35 @t388 @t40 @t9 @t1 @t32) (or (not (= (tptp.hAPP @t35 @t390) (tptp.hAPP @t388 @t390))) @t389))) % 1.51/1.72 (assume @p299 (forall (@list @t32 @t35 @t9 @t388 @t1) (or (not (tptp.class_HOL_Oord @t32)) (tptp.c_lessequals @t149 (tptp.hAPP @t388 @t9) @t32) (not (tptp.c_lessequals @t35 @t388 @t288))))) % 1.51/1.72 (assume @p300 (forall (@list @t391 @t43 @t1 @t6) (or (tptp.c_in @t391 @t43 @t1) (not (tptp.c_in @t391 @t6 @t1)) @t227))) % 1.51/1.72 (assume @p301 (forall @t69 (or @t67 @t227 @t66))) % 1.51/1.72 (assume @p302 (forall @t145 (or @t136 @t135 @t227))) % 1.51/1.72 (assume @p303 (forall @t69 (or @t67 @t66 @t227))) % 1.51/1.72 (assume @p304 (forall @t393 (or (tptp.c_in @t335 @t174 @t24) @t392))) % 1.51/1.72 (assume @p305 (forall @t396 (or (not @t395) (tptp.c_in (tptp.c_Pair @t394 @t394 @t1 @t1) @t127 @t24)))) % 1.51/1.72 (assume @p306 (forall @t177 (or @t398 (not @t397)))) % 1.51/1.72 (assume @p307 (forall @t285 (or @t397 (not @t398)))) % 1.51/1.72 (assume @p308 (forall @t401 (or (tptp.c_in (tptp.c_Pair @t15 @t400 @t1 @t51) @t40 @t52) @t399))) % 1.51/1.72 (assume @p309 (forall @t401 (or (tptp.c_in (tptp.c_Pair @t400 @t17 @t51 @t32) @t122 @t54) @t399))) % 1.51/1.72 (assume @p310 (forall @t402 (or (tptp.c_in @t149 @t43 @t32) @t66 @t291))) % 1.51/1.72 (assume @p311 (forall @t405 (or @t404 (not (tptp.c_in (tptp.hAPP @t35 @t403) (tptp.hAPP @t43 @t403) @t32))))) % 1.51/1.72 (assume @p312 (forall @t405 (or @t404 (not (tptp.c_in (tptp.hAPP @t35 @t406) (tptp.hAPP @t43 @t406) @t32))))) % 1.51/1.72 (assume @p313 (forall @t405 (or @t404 (tptp.c_in @t403 @t6 @t1)))) % 1.51/1.72 (assume @p314 (forall @t405 (or @t404 (tptp.c_in @t406 @t6 @t1)))) % 1.51/1.72 (assume @p315 (forall (@list @t6 @t90 @t40 @t1) (or (tptp.c_in @t185 @t6 @t1) @t91))) % 1.51/1.72 (assume @p316 (forall (@list @t335 @t1) (or (= @t335 (tptp.c_Pair @t407 @t407 @t1 @t1)) (not (tptp.c_in @t335 @t48 @t24))))) % 1.51/1.72 (assume @p317 (forall @t315 (or @t314 (tptp.c_in @t313 @t28 @t5)))) % 1.51/1.72 (assume @p318 (forall @t128 (or @t188 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t40 @t1) @t316 @t1))))) % 1.51/1.72 (assume @p319 (forall @t128 (or @t188 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t40 @t1) @t316 @t1))))) % 1.51/1.72 (assume @p320 (forall (@list @t6 @t17 @t1) (or (tptp.c_in @t409 @t6 @t1) @t408))) % 1.51/1.72 (assume @p321 (forall (@list @t17 @t6 @t1) (or (= @t17 (tptp.c_Pair @t409 @t409 @t1 @t1)) @t408))) % 1.51/1.72 (assume @p322 (forall (@list @t35 @t40 @t9 @t1 @t32 @t388) (or @t389 (tptp.c_in (tptp.c_Pair @t390 @t9 @t1 @t1) @t40 @t24)))) % 1.51/1.72 (assume @p323 (forall @t275 (or (tptp.c_lessequals @t40 @t292 @t25) @t264))) % 1.51/1.72 (assume @p324 (= (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))) % 1.51/1.72 (assume @p325 (forall (@list @t352 @t35 @t15 @t32 @t51 @t6 @t1 @t353) (or (tptp.c_Equiv__Relations_Ocongruent @t352 @t266 @t32 @t51) @t87 @t354 (not (tptp.c_Equiv__Relations_Oequiv @t6 @t353 @t1))))) % 1.51/1.72 (assume @p326 (forall @t128 (or @t411 (not (tptp.c_in (tptp.c_Pair @t410 @t410 @t1 @t1) @t40 @t24))))) % 1.51/1.72 (assume @p327 (forall (@list @t105 @t347 @t1 @t40 @t44) (or @t412 (not (tptp.c_in (tptp.c_Pair @t105 @t351 @t1 @t1) @t40 @t24)) @t350 @t270))) % 1.51/1.72 (assume @p328 (forall (@list @t105 @t347 @t1 @t2 @t9) (or @t412 (not (tptp.c_in (tptp.c_Pair @t105 @t349 @t1 @t1) @t2 @t24)) @t348 @t4))) % 1.51/1.72 (assume @p329 (forall @t340 (or (tptp.c_in (tptp.c_Pair @t339 @t19 @t32 @t1) @t40 @t70) @t338))) % 1.51/1.72 (assume @p330 (forall @t340 (or (tptp.c_in (tptp.c_Pair @t341 @t19 @t32 @t1) @t40 @t70) @t338))) % 1.51/1.72 (assume @p331 (forall @t308 (or @t307 @t306 @t413))) % 1.51/1.72 (assume @p332 (forall @t416 (or (tptp.c_in (tptp.c_Pair @t15 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t15 @t40 @t1 @t32) @t1 @t32) @t40 @t37) @t415))) % 1.51/1.72 (assume @p333 (forall @t416 (or (tptp.c_in (tptp.c_Pair @t15 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t15 @t40 @t1 @t32) @t1 @t32) @t40 @t37) @t415))) % 1.51/1.72 (assume @p334 (forall (@list @t9 @t2 @t1) (or @t413 @t363))) % 1.51/1.72 (assume @p335 (forall @t418 (or @t320 @t417 (not (tptp.c_in (tptp.c_Pair @t105 @t319 @t1 @t1) @t40 @t24)) @t318))) % 1.51/1.72 (assume @p336 (forall @t422 (or @t12 @t421 (not (tptp.c_in (tptp.c_Pair @t420 @t327 tptp.t_a tptp.t_a) @t40 @t419)) @t326))) % 1.51/1.72 (assume @p337 (forall @t423 (or @t12 @t417 (not (tptp.c_in (tptp.c_Pair @t105 @t334 tptp.t_a tptp.t_a) @t40 @t419)) @t326))) % 1.51/1.72 (assume @p338 (forall @t422 (or @t12 @t421 (not (tptp.c_in (tptp.c_Pair @t420 @t334 tptp.t_a tptp.t_a) @t40 @t419)) @t326))) % 1.51/1.72 (assume @p339 (forall @t427 (or @t426 @t425 @t318))) % 1.51/1.72 (assume @p340 (forall @t427 (or @t426 @t318 @t425))) % 1.51/1.72 (assume @p341 (forall @t324 (or @t323 (tptp.c_in (tptp.c_Pair @t322 @t9 @t1 @t1) @t40 @t24)))) % 1.51/1.72 (assume @p342 (forall @t423 (or @t12 @t417 (not (tptp.c_in (tptp.c_Pair @t105 @t327 tptp.t_a tptp.t_a) @t40 @t419)) @t326))) % 1.51/1.72 (assume @p343 (forall @t418 (or @t320 @t417 (not (tptp.c_in (tptp.c_Pair @t105 @t329 @t1 @t1) @t40 @t24)) @t318))) % 1.51/1.72 (assume @p344 (forall @t333 (or (tptp.c_in (tptp.c_Pair @t332 @t9 @t1 @t1) @t2 @t24) @t331))) % 1.51/1.72 (assume @p345 (forall @t416 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t15 @t40 @t1 @t32) @t15 @t32 @t1) @t40 @t70) (not @t428)))) % 1.51/1.72 (assume @p346 (forall (@list @t19 @t40 @t1 @t32) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t19 @t40 @t1 @t32) @t19 @t32 @t1) @t40 @t70) (not (tptp.c_in @t19 @t81 @t1))))) % 1.51/1.72 (assume @p347 (forall @t177 (or @t307 @t430 @t108 @t181))) % 1.51/1.72 (assume @p348 (forall (@list @t9 @t15 @t1 @t40) (or @t432 (not (tptp.c_in (tptp.c_Pair @t15 @t9 @t1 @t1) @t40 @t24)) @t270))) % 1.51/1.72 (assume @p349 (forall @t304 (or @t299 @t101))) % 1.51/1.72 (assume @p350 (forall @t279 (or @t302 @t433 @t101))) % 1.51/1.72 (assume @p351 (forall @t279 (or @t302 @t277 @t300))) % 1.51/1.72 (assume @p352 (forall @t437 (or @t436 (not @t434)))) % 1.51/1.72 (assume @p353 (forall @t437 (or (tptp.c_in @t435 @t439 @t70) @t438))) % 1.51/1.72 (assume @p354 (forall @t251 (or @t434 (not @t436)))) % 1.51/1.72 (assume @p355 (forall (@list @t35 @t40 @t15 @t1 @t32 @t9) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t35 @t40 @t15 @t1 @t32) @t9) @t149) @t432))) % 1.51/1.72 (assume @p356 (forall (@list @t35 @t2 @t15 @t1 @t32 @t9) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t35 @t2 @t15 @t1 @t32) @t9) @t149) (not (tptp.c_in @t431 @t2 @t24))))) % 1.51/1.72 (assume @p357 (forall @t393 (or @t336 @t392))) % 1.51/1.72 (assume @p358 (forall @t177 (or @t443 (not @t441)))) % 1.51/1.72 (assume @p359 (forall @t177 (or @t441 (not @t443)))) % 1.51/1.72 (assume @p360 (forall @t324 (or @t323 @t270))) % 1.51/1.72 (assume @p361 (forall @t128 (or (tptp.c_Relation_Osym @t127 @t1) @t121))) % 1.51/1.72 (assume @p362 (forall @t128 (or @t120 (not @t444)))) % 1.51/1.72 (assume @p363 (forall @t128 (or @t444 @t121))) % 1.51/1.72 (assume @p364 (forall @t128 (= (tptp.c_Relation_ODomain @t127 @t1 @t1) @t445))) % 1.51/1.72 (assume @p365 (forall @t27 (tptp.c_Relation_Osym @t48 @t1))) % 1.51/1.72 (assume @p366 (forall (@list @t1 @t2 @t32) (= (tptp.c_Relation_Orel__comp @t48 @t2 @t1 @t1 @t32) @t2))) % 1.51/1.72 (assume @p367 (forall @t61 (= (tptp.c_Relation_Orel__comp @t2 (tptp.c_Relation_OId @t32) @t1 @t32 @t32) @t2))) % 1.51/1.72 (assume @p368 (forall @t63 (tptp.c_Relation_Oantisym @t215 @t1))) % 1.51/1.72 (assume @p369 (forall @t128 (or (tptp.c_Wellfounded_Owf @t442 @t1) (not (tptp.c_Wellfounded_Owf @t184 @t1))))) % 1.51/1.72 (assume @p370 (forall @t297 (or @t263 (not @t446)))) % 1.51/1.72 (assume @p371 (forall @t297 (or @t446 @t264))) % 1.51/1.72 (assume @p372 (forall @t84 (or @t447 @t4))) % 1.51/1.72 (assume @p373 (forall @t84 (or @t3 (not @t447)))) % 1.51/1.72 (assume @p374 (forall @t55 (= (tptp.c_Relation_OImage @t48 @t6 @t1 @t1) @t6))) % 1.51/1.72 (assume @p375 (forall @t63 (= (tptp.c_Relation_ODomain @t215 @t1 @t1) @t6))) % 1.51/1.72 (assume @p376 (forall @t128 (or @t448 @t121))) % 1.51/1.72 (assume @p377 (forall @t128 (or (not @t448) @t120))) % 1.51/1.72 (assume @p378 (forall @t128 (= (tptp.c_Relation_ORange @t127 @t1 @t1) (tptp.c_Relation_ORange @t40 @t1 @t1)))) % 1.51/1.72 (assume @p379 (forall (@list @t40 @t122 @t32 @t51 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t40 @t122 @t32 @t51 @t1) @t32 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t122 @t51 @t1) (tptp.c_Relation_Oconverse @t40 @t32 @t51) @t1 @t51 @t32)))) % 1.51/1.72 (assume @p380 (forall @t63 (tptp.c_Relation_Osym @t215 @t1))) % 1.51/1.72 (assume @p381 (forall @t63 (tptp.c_Relation_Orefl__on @t6 @t215 @t1))) % 1.51/1.72 (assume @p382 (forall @t254 (or (tptp.c_Wellfounded_Owf @t253 @t32) @t270))) % 1.51/1.72 (assume @p383 (forall @t254 (or (tptp.c_Relation_Osym @t253 @t32) @t121))) % 1.51/1.72 (assume @p384 (forall @t27 (= (tptp.c_Relation_Oconverse @t48 @t1 @t1) @t48))) % 1.51/1.72 (assume @p385 (forall @t128 (or (tptp.c_Wellfounded_Owf @t127 @t1) @t270))) % 1.51/1.72 (assume @p386 (forall (@list @t2 @t385 @t1 @t449 @t51 @t450 @t32) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t2 @t385 @t1 @t449 @t51) @t450 @t1 @t51 @t32) (tptp.c_Relation_Orel__comp @t2 (tptp.c_Relation_Orel__comp @t385 @t450 @t449 @t51 @t32) @t1 @t449 @t32)))) % 1.51/1.72 (assume @p387 (forall (@list @t2 @t35 @t32 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t2 @t35 @t32 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t2 @t32 @t32) @t35 @t32 @t1)))) % 1.51/1.72 (assume @p388 (forall @t128 (= @t440 @t442))) % 1.51/1.72 (assume @p389 (forall @t63 (= (tptp.c_Relation_Oconverse @t215 @t1 @t1) @t215))) % 1.51/1.72 (assume @p390 (forall @t128 (or (not @t451) (tptp.c_Equiv__Relations_Oequiv @t445 @t40 @t1)))) % 1.51/1.72 (assume @p391 (forall @t27 (tptp.c_Relation_Oantisym @t48 @t1))) % 1.51/1.72 (assume @p392 (forall @t42 (= (tptp.c_Relation_ORange @t439 @t32 @t1) @t41))) % 1.51/1.72 (assume @p393 (forall @t63 (= (tptp.c_Relation_ORange @t215 @t1 @t1) @t6))) % 1.51/1.72 (assume @p394 (forall @t42 (= (tptp.c_Relation_Oconverse @t439 @t32 @t1) @t40))) % 1.51/1.72 (assume @p395 (forall @t275 (or @t451 @t85))) % 1.51/1.72 (assume @p396 (forall @t128 (or @t180 (not @t452)))) % 1.51/1.72 (assume @p397 (forall @t128 (or @t452 @t181))) % 1.51/1.72 (assume @p398 (forall @t297 (or @t263 @t85))) % 1.51/1.72 (assume @p399 (forall @t297 (or (= (tptp.c_Complete__Lattice_OSup__class_OSup @t89 @t5) @t6) @t85))) % 1.51/1.72 (assume @p400 (forall @t275 (or @t120 @t85))) % 1.51/1.72 (assume @p401 (forall @t82 (= @t453 @t81))) % 1.51/1.72 (assume @p402 (forall @t82 (= @t81 @t453))) % 1.51/1.72 (assume @p403 (forall @t297 (or @t455 (not @t454)))) % 1.51/1.72 (assume @p404 (forall @t297 (or @t454 @t456))) % 1.51/1.72 (assume @p405 (forall @t304 (or @t46 (not @t457) @t101 @t181))) % 1.51/1.72 (assume @p406 (forall (@list @t35 @t105 @t195 @t1 @t40 @t32) (or (= @t458 (tptp.hAPP @t35 @t195)) @t281 (not (tptp.c_Equiv__Relations_Ocongruent @t40 @t35 @t1 @t32))))) % 1.51/1.72 (assume @p407 (forall (@list @t9 @t105 @t1 @t6) (or @t307 @t459))) % 1.51/1.72 (assume @p408 (forall (@list @t35 @t40 @t9 @t1 @t32 @t388 @t105) (or (not @t389) (= @t458 (tptp.hAPP @t388 @t105)) @t430))) % 1.51/1.72 (assume @p409 (forall (@list @t15 @t19 @t1) (or @t46 (not (tptp.c_in @t99 @t48 @t24))))) % 1.51/1.72 (assume @p410 (forall @t396 (or @t395 (not @t411)))) % 1.51/1.72 (assume @p411 (forall @t362 (or (not @t460) @t270))) % 1.51/1.72 (assume @p412 (forall (@list @t9 @t105 @t1 @t40 @t35 @t32) (or @t462 (not @t461)))) % 1.51/1.72 (assume @p413 (forall (@list @t35 @t9 @t105 @t32 @t40 @t1) (or @t461 (not @t462)))) % 1.51/1.72 (assume @p414 (forall @t285 (or @t429 @t108 @t121))) % 1.51/1.72 (assume @p415 (forall (@list @t19 @t15 @t1 @t40) (or @t457 @t101 @t121))) % 1.51/1.72 (assume @p416 (forall (@list @t15 @t17 @t1 @t51 @t40 @t122 @t32 @t19) (or (tptp.c_in (tptp.c_Pair @t15 @t17 @t1 @t51) @t381 @t52) (not (tptp.c_in (tptp.c_Pair @t19 @t17 @t32 @t51) @t122 @t378)) @t438))) % 1.51/1.72 (assume @p417 (forall (@list @t15 @t17 @t1 @t2 @t19) (or (tptp.c_in @t278 @t155 @t24) (not (tptp.c_in @t276 @t2 @t24)) (not (tptp.c_in @t99 @t2 @t24))))) % 1.51/1.72 (assume @p418 (forall @t279 (or @t302 @t433 @t300))) % 1.51/1.72 (assume @p419 (forall @t18 (tptp.c_in @t183 @t48 @t24))) % 1.51/1.72 (assume @p420 (forall @t16 (tptp.c_in @t361 @t48 @t24))) % 1.51/1.72 (assume @p421 (forall @t402 (or @t464 @t66 @t463))) % 1.51/1.72 (assume @p422 (forall (@list @t9 @t6 @t1 @t35 @t43 @t32) (or @t66 @t464 @t463))) % 1.51/1.72 (assume @p423 (forall (@list @t90 @t92 @t9 @t105 @t1 @t40 @t6) (or @t94 @t108 (not (tptp.c_in @t105 @t92 @t1)) (not (tptp.c_in @t9 @t90 @t1)) @t93 @t91 @t85))) % 1.51/1.72 (assume @p424 (forall (@list @t105 @t9 @t1 @t44 @t6 @t40) (or (not (tptp.c_in @t105 @t9 @t1)) (not (tptp.c_in @t44 @t9 @t1)) @t465 @t465 @t85 (tptp.c_in (tptp.c_Pair @t44 @t105 @t1 @t1) @t40 @t24)))) % 1.51/1.72 (assume @p425 (forall (@list @t6 @t90 @t1 @t28) (or @t467 @t466 (not @t314)))) % 1.51/1.72 (assume @p426 (forall (@list @t6 @t28 @t1 @t90) (or (tptp.c_in @t6 @t29 @t1) (not @t467) @t466))) % 1.51/1.72 (assume @p427 (forall @t475 (or @t474 @t473 @t307 @t468))) % 1.51/1.72 (assume @p428 (forall @t475 (or @t474 @t473 @t476 @t468))) % 1.51/1.72 (assume @p429 (forall @t479 (not (tptp.c_in @t478 @t477 @t469)))) % 1.51/1.72 (assume @p430 (forall @t480 (not (tptp.c_in @t471 @t477 @t469)))) % 1.51/1.72 (assume @p431 (forall @t475 (or @t472 @t476 (not @t474)))) % 1.51/1.72 (assume @p432 (forall @t480 (or @t307 @t249 (tptp.c_in @t471 @t481 @t469)))) % 1.51/1.72 (assume @p433 (forall @t479 (not (tptp.c_in @t478 @t481 @t469)))) % 1.51/1.72 (assume @p434 (forall @t483 (not (tptp.c_in @t482 @t481 @t469)))) % 1.51/1.72 (assume @p435 (forall @t475 (or @t484 @t473 @t307 @t476))) % 1.51/1.72 (assume @p436 (forall @t475 (or @t484 @t473 @t468 @t476))) % 1.51/1.72 (assume @p437 (forall @t483 (or @t485 @t485 (tptp.c_in @t482 @t477 @t469)))) % 1.51/1.72 (assume @p438 (forall @t475 (or @t472 @t468 (not @t484)))) % 1.51/1.72 (assume @p439 (forall @t489 (or (tptp.c_in @t477 tptp.c_Arrow__Order__Mirabelle_OLin @t486) @t488))) % 1.51/1.72 (assume @p440 (forall @t489 (or (tptp.c_in @t481 tptp.c_Arrow__Order__Mirabelle_OLin @t486) @t488))) % 1.51/1.72 (assume @p441 (forall @t490 (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Obelow @t470 @t9 @t105) tptp.c_Arrow__Order__Mirabelle_OLin @t486) @t488 @t307))) % 1.51/1.72 (assume @p442 (tptp.c_in tptp.v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 tptp.c_Arrow__Order__Mirabelle_OLin @t486)) % 1.51/1.72 (assume @p443 (forall @t492 (or @t487 (not @t491)))) % 1.51/1.72 (assume @p444 (forall @t492 (or @t491 @t488))) % 1.51/1.72 (assume @p445 (forall @t490 (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Oabove @t470 @t9 @t105) tptp.c_Arrow__Order__Mirabelle_OLin @t486) @t488 @t307))) % 1.51/1.72 (assume @p446 (forall (@list @t15 @t19 @t1 @t32 @t6 @t43) (or @t494 (not @t493) @t87))) % 1.51/1.72 (assume @p447 (forall (@list @t15 @t40 @t1 @t19) (or @t317 @t101 (not @t426)))) % 1.51/1.72 (assume @p448 (forall (@list @t105 @t40 @t1 @t15) (or (tptp.c_in @t105 @t316 @t1) (not (tptp.c_in (tptp.c_Pair @t105 @t15 @t1 @t1) @t40 @t24)) @t318))) % 1.51/1.72 (assume @p449 (forall (@list @t19 @t40 @t6 @t1 @t32 @t15) (or (tptp.c_in @t19 @t367 @t32) @t438 @t87))) % 1.51/1.72 (assume @p450 (forall (@list @t19 @t40 @t6 @t32 @t1 @t9) (or @t337 (not (tptp.c_in (tptp.c_Pair @t9 @t19 @t32 @t1) @t40 @t70)) @t151))) % 1.51/1.72 (assume @p451 (forall (@list @t9 @t6 @t1 @t105) (or @t65 @t459))) % 1.51/1.72 (assume @p452 (forall (@list @t9 @t1 @t6) (or (tptp.c_in @t183 @t215 @t24) @t66))) % 1.51/1.72 (assume @p453 (forall @t495 (or @t190 @t108 @t85))) % 1.51/1.72 (assume @p454 (forall @t496 (or @t65 @t108 @t85))) % 1.51/1.72 (assume @p455 (forall (@list @t15 @t40 @t32 @t1 @t9) (or @t428 (not (tptp.c_in (tptp.c_Pair @t9 @t15 @t32 @t1) @t40 @t70))))) % 1.51/1.72 (assume @p456 (forall (@list @t19 @t40 @t1 @t32 @t15) (or (tptp.c_in @t19 (tptp.c_Relation_ORange @t40 @t1 @t32) @t32) @t438))) % 1.51/1.72 (assume @p457 (forall (@list @t15 @t40 @t1 @t32 @t9) (or @t414 (not (tptp.c_in (tptp.c_Pair @t15 @t9 @t1 @t32) @t40 @t37))))) % 1.51/1.72 (assume @p458 (forall (@list @t15 @t40 @t1 @t32 @t19) (or @t414 @t438))) % 1.51/1.72 (assume @p459 (forall (@list @t19 @t43 @t15 @t32 @t1 @t6) (or @t493 @t497))) % 1.51/1.72 (assume @p460 (forall (@list @t15 @t6 @t1 @t19 @t32 @t43) (or @t86 @t497))) % 1.51/1.72 (assume @p461 (forall (@list @t44 @t9 @t1 @t40 @t6) (or (tptp.c_in (tptp.c_Pair @t44 @t9 @t1 @t1) @t40 @t24) (tptp.c_in (tptp.c_Pair @t9 @t44 @t1 @t1) @t40 @t24) @t498 (not (tptp.c_in @t44 @t6 @t1)) @t66 @t456))) % 1.51/1.72 (assume @p462 (forall (@list @t9 @t1 @t40 @t6) (or @t395 @t66 @t264))) % 1.51/1.72 (assume @p463 (forall @t495 (or @t190 @t108 @t264))) % 1.51/1.72 (assume @p464 (forall @t496 (or @t65 @t108 @t264))) % 1.51/1.72 (assume @p465 (forall (@list @t15 @t1 @t40 @t6) (or @t460 @t87 @t264))) % 1.51/1.72 (assume @p466 (forall @t500 (or (not (tptp.c_in @t478 @t499 @t469)) @t488 @t46))) % 1.51/1.72 (assume @p467 (forall @t506 (or @t505 @t485 @t485 @t488 @t503 @t502))) % 1.51/1.72 (assume @p468 (forall (@list @t9 @t19 @t105 @t470) (or @t508 @t307 @t488 @t508 @t507 @t473))) % 1.51/1.72 (assume @p469 (forall (@list @t9 @t105 @t470 @t19 @t15) (or @t472 @t510 @t508 (not @t509) @t488 @t46))) % 1.51/1.72 (assume @p470 (forall @t511 (or @t485 (not @t502) @t488 @t503 @t504 (= @t44 @t15)))) % 1.51/1.72 (assume @p471 (forall (@list @t9 @t105 @t470 @t15) (or (not @t513) @t488 @t503 @t512))) % 1.51/1.72 (assume @p472 (forall @t519 (or @t518 @t516 @t307 @t488 @t508 @t515))) % 1.51/1.72 (assume @p473 (forall @t511 (or @t520 @t485 @t488 @t503 @t521 @t520))) % 1.51/1.72 (assume @p474 (forall @t525 (or @t524 @t473 @t522 @t516 @t307 @t488 @t46))) % 1.51/1.72 (assume @p475 (forall @t525 (or @t524 @t473 @t518 @t526 @t307 @t488 @t46))) % 1.51/1.72 (assume @p476 (forall @t483 (or @t485 @t498 @t488 @t498 @t528))) % 1.51/1.72 (assume @p477 (forall @t525 (or @t509 @t473 @t530 @t529 @t307 @t488 @t46))) % 1.51/1.72 (assume @p478 (forall @t483 (or @t520 @t485 @t488 @t485 @t531))) % 1.51/1.72 (assume @p479 (forall (@list @t15 @t105 @t470 @t9) (or @t529 @t307 @t488 @t503 @t513))) % 1.51/1.72 (assume @p480 (forall @t525 (or @t509 @t473 @t510 @t508 @t307 @t488 @t46))) % 1.51/1.72 (assume @p481 (forall @t500 (or (not (tptp.c_in @t478 @t523 @t469)) @t488 @t46))) % 1.51/1.72 (assume @p482 (forall @t519 (or @t518 @t249 @t307 @t488 @t508 @t515))) % 1.51/1.72 (assume @p483 (forall (@list @t9 @t15 @t44 @t470) (or @t522 @t485 @t488 @t503 @t521 @t520))) % 1.51/1.72 (assume @p484 (forall @t525 (or @t472 @t522 @t526 (not @t524) @t488 @t46))) % 1.51/1.72 (assume @p485 (forall (@list @t105 @t9 @t470 @t19) (or @t249 (not @t515) @t488 @t508 @t517 @t510))) % 1.51/1.72 (assume @p486 (forall (@list @t44 @t9 @t470 @t19) (or (not @t533) @t488 @t508 @t532))) % 1.51/1.72 (assume @p487 (forall @t506 (or @t505 (not (tptp.c_in (tptp.c_Pair @t15 @t9 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) @t485 @t488 @t503 @t502))) % 1.51/1.72 (assume @p488 (forall (@list @t9 @t105 @t470 @t19) (or @t473 @t307 @t488 @t508 @t507 @t473))) % 1.51/1.72 (assume @p489 (forall @t525 (or @t509 @t473 @t510 @t529 @t307 @t488 @t46))) % 1.51/1.72 (assume @p490 (forall @t525 (or @t509 @t473 @t530 @t508 @t307 @t488 @t46))) % 1.51/1.72 (assume @p491 (forall @t483 (or @t485 @t485 @t488 @t485 @t531))) % 1.51/1.72 (assume @p492 (forall @t525 (or @t524 @t473 @t518 @t516 @t307 @t488 @t46))) % 1.51/1.72 (assume @p493 (forall (@list @t9 @t44 @t470) (or (not (tptp.c_in @t527 @t470 @t469)) @t498 @t488 @t498 @t528))) % 1.51/1.72 (assume @p494 (forall (@list @t44 @t19 @t470 @t9) (or (not @t532) @t485 @t488 @t508 @t533))) % 1.51/1.72 (assume @p495 (forall @t525 (or @t524 @t473 @t522 @t526 @t307 @t488 @t46))) % 1.51/1.72 (assume @p496 (forall @t537 (or @t536 (= @t19 @t534)))) % 1.51/1.72 (assume @p497 (forall @t537 (or @t536 (= @t15 @t535)))) % 1.51/1.72 (assume @p498 (not (= tptp.v_a tptp.v_b))) % 1.51/1.72 (assume @p499 (forall @t480 (or @t473 (not @t538) @t307 @t488))) % 1.51/1.72 (assume @p500 (forall (@list @t105 @t9 @t470) (or @t538 @t472 @t307 @t488))) % 1.51/1.72 (assume @p501 (forall (@list @t9 @t385 @t1) (or @t540 (not @t539)))) % 1.51/1.72 (assume @p502 (forall (@list @t385 @t9 @t1) (or @t539 (not @t540)))) % 1.51/1.72 (assume @p503 (forall (@list @t19 @t15 @t470) (or (not (tptp.c_in (tptp.c_Pair @t19 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) (not (tptp.c_in (tptp.c_Pair @t15 @t19 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t470 @t469)) @t488))) % 1.51/1.72 (assume @p504 @t541) % 1.51/1.72 (assume @p505 @t543) % 1.51/1.72 (assume @p506 (forall @t548 (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_prod @t544 @t546)) @t547 @t545))) % 1.51/1.72 (assume @p507 (forall @t548 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t549) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t546))))) % 1.51/1.72 (assume @p508 (forall @t548 (or (tptp.class_Lattices_Olower__semilattice @t549) @t550))) % 1.51/1.72 (assume @p509 (forall @t548 (or (tptp.class_Lattices_Obounded__lattice @t549) (not (tptp.class_Lattices_Obounded__lattice @t546))))) % 1.51/1.72 (assume @p510 (forall @t548 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t549) @t547 @t545))) % 1.51/1.72 (assume @p511 (forall @t548 (or (tptp.class_Orderings_Opreorder @t549) (not (tptp.class_Orderings_Opreorder @t546))))) % 1.51/1.72 (assume @p512 (forall @t548 (or (tptp.class_Lattices_Olattice @t549) @t550))) % 1.51/1.72 (assume @p513 (forall @t548 (or (tptp.class_Orderings_Oorder @t549) (not (tptp.class_Orderings_Oorder @t546))))) % 1.51/1.72 (assume @p514 (forall @t548 (or (tptp.class_Orderings_Obot @t549) (not (tptp.class_Orderings_Obot @t546))))) % 1.51/1.72 (assume @p515 (forall @t548 (or (tptp.class_HOL_Oord @t549) (not (tptp.class_HOL_Oord @t546))))) % 1.51/1.72 (assume @p516 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.51/1.72 (assume @p517 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.51/1.72 (assume @p518 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.51/1.72 (assume @p519 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 1.51/1.72 (assume @p520 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.51/1.72 (assume @p521 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.51/1.72 (assume @p522 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.51/1.72 (assume @p523 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.51/1.72 (assume @p524 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.51/1.72 (assume @p525 (forall @t18 (tptp.c_fequal @t9 @t9 @t1))) % 1.51/1.72 (assume @p526 (forall (@list @t90 @t92 @t1) (or @t94 (not (tptp.c_fequal @t90 @t92 @t1))))) % 1.51/1.72 (step @p527 :rule instantiate :premises (@p444) :args (@t551)) % 1.51/1.72 (step @p528 :rule cnf_or_pos :args (@t555)) % 1.51/1.72 (step @p529 :rule reordering :premises (@p528) :args ((or @t552 @t554 (not @t555)))) % 1.51/1.72 (step @p530 :rule chain_m_resolution :premises (@p529 @p504 @p527) :args (@t554 @t556 (@list @t541 @t555))) % 1.51/1.72 (step @p531 :rule instantiate :premises (@p353) :args ((@list tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_R____))) % 1.51/1.72 (step @p532 :rule instantiate :premises (@p500) :args ((@list tptp.v_a tptp.v_b tptp.v_R____))) % 1.51/1.72 (step @p533 :rule instantiate :premises (@p505) :args (@t551)) % 1.51/1.72 (step @p534 :rule cnf_or_pos :args (@t559)) % 1.51/1.72 (step @p535 :rule reordering :premises (@p534) :args ((or @t552 @t558 (not @t559)))) % 1.51/1.72 (step @p536 :rule chain_m_resolution :premises (@p535 @p504 @p533) :args (@t558 @t556 (@list @t541 @t559))) % 1.51/1.72 (step @p537 :rule symm :premises (@p498)) % 1.51/1.72 (step @p538 :rule cnf_or_pos :args (@t562)) % 1.51/1.72 (step @p539 :rule reordering :premises (@p538) :args ((or @t560 @t552 @t557 @t561 (not @t562)))) % 1.51/1.72 (step @p540 :rule chain_m_resolution :premises (@p539 @p537 @p504 @p536 @p532) :args (@t561 (@list true false true false) (@list @t560 @t541 @t557 @t562))) % 1.51/1.72 (step @p541 :rule cnf_or_pos :args (@t565)) % 1.51/1.72 (step @p542 :rule reordering :premises (@p541) :args ((or @t563 @t564 (not @t565)))) % 1.51/1.72 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p531) :args (@t564 @t556 (@list @t561 @t565))) % 1.51/1.72 (step @p544 :rule cnf_or_pos :args (@t568)) % 1.51/1.72 (step @p545 :rule reordering :premises (@p544) :args ((or @t567 @t566 @t569))) % 1.51/1.72 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p530) :args (@t569 @t556 (@list @t564 @t554))) % 1.51/1.72 (assume-push @p553 @t543) % 1.51/1.72 (step @p548 :rule instantiate :premises (@p505) :args ((@list @t553))) % 1.51/1.72 (step-pop @p554 :rule scope :premises (@p548)) % 1.51/1.72 (step @p549 :rule process_scope :premises (@p554) :args (@t568)) % 1.51/1.72 (step @p551 :rule implies_elim :premises (@p549)) % 1.51/1.72 (step @p552 false :rule chain_m_resolution :premises (@p551 @p546 @p505) :args (false (@list true false) (@list @t568 @t543))) % 1.51/1.72 ) % 1.51/1.72 % SZS output end Proof % 1.51/1.72 % cvc5 exiting %------------------------------------------------------------------------------