%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT060-1 : 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 : n018.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 08:46:14 AM UTC 2026 % Result : Unsatisfiable 76.01s 76.24s % Output : Proof 76.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT060-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:22:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/16.02 --- Run --no-e-matching --full-saturate-quant at 6... % 21.85/22.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.97/28.17 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.03/34.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.10/64.37 --- Run --trigger-sel=max --full-saturate-quant at 15... % 76.01/76.24 % SZS status Unsatisfiable % 76.01/76.24 % SZS output start Proof % 76.01/76.26 ( % 76.01/76.26 (declare-sort $$unsorted 0) % 76.01/76.26 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.v_c____ $$unsorted) % 76.01/76.26 (declare-const tptp.v_P____ $$unsorted) % 76.01/76.26 (declare-const tptp.v_b____ $$unsorted) % 76.01/76.26 (declare-const tptp.v_sko__local__X1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_F $$unsorted) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xdictator__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__2 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__local__X3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__5 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__3 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 76.01/76.26 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__local__X2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.t_b $$unsorted) % 76.01/76.26 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.v_r $$unsorted) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.t_a $$unsorted) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.tc_bool $$unsorted) % 76.01/76.26 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__4 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_P_H____ $$unsorted) % 76.01/76.26 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_a____ $$unsorted) % 76.01/76.26 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 76.01/76.26 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 76.01/76.26 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.01/76.26 (define @t1 () (@var "T_a" $$unsorted)) % 76.01/76.26 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 76.01/76.26 (define @t3 () (@var "V_C" $$unsorted)) % 76.01/76.26 (define @t4 () (@var "V_B" $$unsorted)) % 76.01/76.26 (define @t5 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 76.01/76.26 (define @t6 () (@var "V_A" $$unsorted)) % 76.01/76.26 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t5 @t2)) % 76.01/76.26 (define @t8 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t2)) % 76.01/76.26 (define @t9 () (@list @t6 @t4 @t1 @t3)) % 76.01/76.26 (define @t10 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t3 @t2)) % 76.01/76.26 (define @t11 () (@list @t6 @t4 @t3 @t1)) % 76.01/76.26 (define @t12 () (@var "T_b" $$unsorted)) % 76.01/76.26 (define @t13 () (tptp.tc_prod @t1 @t12)) % 76.01/76.26 (define @t14 () (tptp.tc_fun @t13 tptp.tc_bool)) % 76.01/76.26 (define @t15 () (tptp.tc_fun @t12 tptp.tc_bool)) % 76.01/76.26 (define @t16 () (tptp.c_COMBK @t4 @t15 @t1)) % 76.01/76.26 (define @t17 () (@var "V_r" $$unsorted)) % 76.01/76.26 (define @t18 () (not (tptp.c_lessequals @t17 (tptp.c_Product__Type_OSigma @t6 @t16 @t1 @t12) @t14))) % 76.01/76.26 (define @t19 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 76.01/76.26 (define @t20 () (@var "V_xa" $$unsorted)) % 76.01/76.26 (define @t21 () (@var "V_x" $$unsorted)) % 76.01/76.26 (define @t22 () (tptp.c_Set_Oinsert @t21 @t19 @t1)) % 76.01/76.26 (define @t23 () (tptp.c_Relation_OId @t1)) % 76.01/76.26 (define @t24 () (@list @t1)) % 76.01/76.26 (define @t25 () (@var "V_P" $$unsorted)) % 76.01/76.26 (define @t26 () (@var "V_Q" $$unsorted)) % 76.01/76.26 (define @t27 () (tptp.c_Orderings_Obot__class_Obot @t14)) % 76.01/76.26 (define @t28 () (@var "V_R" $$unsorted)) % 76.01/76.26 (define @t29 () (tptp.c_Wellfounded_Owf @t28 @t1)) % 76.01/76.26 (define @t30 () (not @t29)) % 76.01/76.26 (define @t31 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t25 @t28 @t1)) % 76.01/76.26 (define @t32 () (@var "V_Rb" $$unsorted)) % 76.01/76.26 (define @t33 () (tptp.c_Relation_OImage @t28 @t4 @t12 @t1)) % 76.01/76.26 (define @t34 () (tptp.c_Relation_OImage @t28 @t6 @t12 @t1)) % 76.01/76.26 (define @t35 () (@list @t28 @t6 @t4 @t12 @t1)) % 76.01/76.26 (define @t36 () (@var "V_S" $$unsorted)) % 76.01/76.26 (define @t37 () (tptp.tc_prod @t12 @t1)) % 76.01/76.26 (define @t38 () (tptp.tc_fun @t37 tptp.tc_bool)) % 76.01/76.26 (define @t39 () (@var "V_r_H" $$unsorted)) % 76.01/76.26 (define @t40 () (not (tptp.c_lessequals @t39 @t17 @t14))) % 76.01/76.26 (define @t41 () (@var "T_c" $$unsorted)) % 76.01/76.26 (define @t42 () (tptp.tc_prod @t12 @t41)) % 76.01/76.26 (define @t43 () (tptp.tc_fun @t42 tptp.tc_bool)) % 76.01/76.26 (define @t44 () (@var "V_s" $$unsorted)) % 76.01/76.26 (define @t45 () (@var "V_s_H" $$unsorted)) % 76.01/76.26 (define @t46 () (tptp.tc_prod @t1 @t41)) % 76.01/76.26 (define @t47 () (tptp.tc_fun @t46 tptp.tc_bool)) % 76.01/76.26 (define @t48 () (tptp.c_Relation_Orel__comp @t17 @t44 @t1 @t12 @t41)) % 76.01/76.26 (define @t49 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 76.01/76.26 (define @t50 () (@list @t1 @t21)) % 76.01/76.26 (define @t51 () (@list @t6 @t1)) % 76.01/76.26 (define @t52 () (tptp.c_Relation_Orefl__on @t6 @t17 @t1)) % 76.01/76.26 (define @t53 () (not @t52)) % 76.01/76.26 (define @t54 () (tptp.tc_prod @t1 @t1)) % 76.01/76.26 (define @t55 () (tptp.tc_fun @t54 tptp.tc_bool)) % 76.01/76.26 (define @t56 () (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t6 @t2 @t1) @t1 @t1)) % 76.01/76.26 (define @t57 () (tptp.c_lessequals @t17 @t56 @t55)) % 76.01/76.26 (define @t58 () (@list @t17 @t6 @t1)) % 76.01/76.26 (define @t59 () (tptp.c_Relation_OId__on @t6 @t1)) % 76.01/76.26 (define @t60 () (@var "V_z" $$unsorted)) % 76.01/76.26 (define @t61 () (@var "V_y" $$unsorted)) % 76.01/76.26 (define @t62 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t21 @t1)) % 76.01/76.26 (define @t63 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t60 @t1)) % 76.01/76.26 (define @t64 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 76.01/76.26 (define @t65 () (@list @t1 @t61 @t60 @t21)) % 76.01/76.26 (define @t66 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t60 @t1)) % 76.01/76.26 (define @t67 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t61 @t1)) % 76.01/76.26 (define @t68 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t67 @t66 @t1)) % 76.01/76.26 (define @t69 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t63 @t1)) % 76.01/76.26 (define @t70 () (@list @t1 @t21 @t61 @t60)) % 76.01/76.26 (define @t71 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t3 @t2)) % 76.01/76.26 (define @t72 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t2)) % 76.01/76.26 (define @t73 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t5 @t2)) % 76.01/76.26 (define @t74 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t2)) % 76.01/76.26 (define @t75 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t6 @t2)) % 76.01/76.26 (define @t76 () (@list @t4 @t3 @t1 @t6)) % 76.01/76.26 (define @t77 () (@var "V_a" $$unsorted)) % 76.01/76.26 (define @t78 () (tptp.c_Set_Oinsert @t77 @t19 @t1)) % 76.01/76.26 (define @t79 () (@var "V_b" $$unsorted)) % 76.01/76.26 (define @t80 () (= @t79 @t77)) % 76.01/76.26 (define @t81 () (@var "V_J" $$unsorted)) % 76.01/76.26 (define @t82 () (tptp.c_Product__Type_OSigma @t81 @t3 @t1 @t12)) % 76.01/76.26 (define @t83 () (@var "V_I" $$unsorted)) % 76.01/76.26 (define @t84 () (tptp.c_Product__Type_OSigma @t83 @t3 @t1 @t12)) % 76.01/76.26 (define @t85 () (@list @t83 @t81 @t1 @t3 @t12)) % 76.01/76.26 (define @t86 () (not (tptp.c_lessequals @t17 @t44 @t55))) % 76.01/76.26 (define @t87 () (tptp.c_Transitive__Closure_Otrancl @t17 @t1)) % 76.01/76.26 (define @t88 () (@list @t17 @t1 @t44)) % 76.01/76.26 (define @t89 () (not (tptp.c_in @t21 @t3 @t1))) % 76.01/76.26 (define @t90 () (tptp.c_COMBK @t3 @t2 @t12)) % 76.01/76.26 (define @t91 () (tptp.c_Product__Type_OSigma @t4 @t90 @t12 @t1)) % 76.01/76.26 (define @t92 () (tptp.c_Product__Type_OSigma @t6 @t90 @t12 @t1)) % 76.01/76.26 (define @t93 () (tptp.c_lessequals @t92 @t91 @t38)) % 76.01/76.26 (define @t94 () (tptp.c_lessequals @t6 @t4 @t15)) % 76.01/76.26 (define @t95 () (@list @t6 @t3 @t1 @t12 @t4 @t21)) % 76.01/76.26 (define @t96 () (tptp.c_Set_Oinsert @t21 @t6 @t1)) % 76.01/76.26 (define @t97 () (tptp.c_lessequals @t96 @t4 @t2)) % 76.01/76.26 (define @t98 () (not @t97)) % 76.01/76.26 (define @t99 () (tptp.c_lessequals @t6 @t4 @t2)) % 76.01/76.26 (define @t100 () (@list @t6 @t4 @t1 @t21)) % 76.01/76.26 (define @t101 () (not @t99)) % 76.01/76.26 (define @t102 () (tptp.c_Set_Oinsert @t79 @t4 @t1)) % 76.01/76.26 (define @t103 () (tptp.c_Wellfounded_Owf @t17 @t1)) % 76.01/76.26 (define @t104 () (not @t103)) % 76.01/76.26 (define @t105 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t25 @t17 @t1)) % 76.01/76.26 (define @t106 () (tptp.hBOOL (tptp.hAPP @t25 @t77))) % 76.01/76.26 (define @t107 () (@list @t25 @t77 @t17 @t1)) % 76.01/76.26 (define @t108 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t36 @t55)) % 76.01/76.26 (define @t109 () (tptp.c_Transitive__Closure_Ortrancl @t108 @t1)) % 76.01/76.26 (define @t110 () (tptp.c_Transitive__Closure_Ortrancl @t36 @t1)) % 76.01/76.26 (define @t111 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t1)) % 76.01/76.26 (define @t112 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t111 @t110 @t55)) % 76.01/76.26 (define @t113 () (@list @t28 @t1 @t36)) % 76.01/76.26 (define @t114 () (tptp.c_Set_Oinsert @t77 @t4 @t1)) % 76.01/76.26 (define @t115 () (@list @t77 @t4 @t1 @t3)) % 76.01/76.26 (define @t116 () (@list @t6 @t77 @t4 @t1)) % 76.01/76.26 (define @t117 () (tptp.tc_prod @t41 @t12)) % 76.01/76.26 (define @t118 () (tptp.tc_fun @t117 tptp.tc_bool)) % 76.01/76.26 (define @t119 () (@list @t1 @t6)) % 76.01/76.26 (define @t120 () (tptp.c_Orderings_Obot__class_Obot @t55)) % 76.01/76.26 (define @t121 () (@list @t1 @t4)) % 76.01/76.26 (define @t122 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 76.01/76.26 (define @t123 () (tptp.c_Set_Oinsert @t77 @t6 @t1)) % 76.01/76.26 (define @t124 () (@list @t77 @t6 @t1)) % 76.01/76.26 (define @t125 () (tptp.c_Set_Oinsert @t77 @t72 @t1)) % 76.01/76.26 (define @t126 () (tptp.c_Orderings_Obot__class_Obot @t15)) % 76.01/76.26 (define @t127 () (@list @t28 @t12 @t1)) % 76.01/76.26 (define @t128 () (tptp.c_Relation_Osym @t17 @t1)) % 76.01/76.26 (define @t129 () (not @t128)) % 76.01/76.26 (define @t130 () (not (tptp.c_Relation_Osym @t44 @t1))) % 76.01/76.26 (define @t131 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t44 @t55)) % 76.01/76.26 (define @t132 () (@list @t17 @t44 @t1)) % 76.01/76.26 (define @t133 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t1)) % 76.01/76.26 (define @t134 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t1)) % 76.01/76.26 (define @t135 () (tptp.c_lessequals @t134 @t133 @t55)) % 76.01/76.26 (define @t136 () (tptp.c_Relation_ODomain @t4 @t1 @t12)) % 76.01/76.26 (define @t137 () (tptp.c_Relation_ODomain @t6 @t1 @t12)) % 76.01/76.26 (define @t138 () (@list @t6 @t4 @t1 @t12)) % 76.01/76.26 (define @t139 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 76.01/76.26 (define @t140 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t33 @t2)) % 76.01/76.26 (define @t141 () (tptp.c_Relation_OImage @t28 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t15) @t12 @t1)) % 76.01/76.26 (define @t142 () (tptp.c_lessequals @t3 @t6 @t2)) % 76.01/76.26 (define @t143 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t3 @t2) @t73)) % 76.01/76.26 (define @t144 () (not @t142)) % 76.01/76.26 (define @t145 () (tptp.tc_fun @t41 tptp.tc_bool)) % 76.01/76.26 (define @t146 () (tptp.c_Wellfounded_Owf @t108 @t1)) % 76.01/76.26 (define @t147 () (@list @t28 @t36 @t1)) % 76.01/76.26 (define @t148 () (tptp.hBOOL (tptp.hAPP @t8 @t21))) % 76.01/76.26 (define @t149 () (tptp.hBOOL (tptp.hAPP @t6 @t21))) % 76.01/76.26 (define @t150 () (tptp.hAPP @t4 @t21)) % 76.01/76.26 (define @t151 () (tptp.hBOOL @t150)) % 76.01/76.26 (define @t152 () (@list @t4 @t21 @t6 @t1)) % 76.01/76.26 (define @t153 () (not @t151)) % 76.01/76.26 (define @t154 () (not @t149)) % 76.01/76.26 (define @t155 () (tptp.c_Relation_ODomain @t17 @t1 @t1)) % 76.01/76.26 (define @t156 () (tptp.c_COMBK @t3 @t15 @t1)) % 76.01/76.26 (define @t157 () (tptp.c_Product__Type_OSigma @t4 @t156 @t1 @t12)) % 76.01/76.26 (define @t158 () (tptp.c_Product__Type_OSigma @t6 @t156 @t1 @t12)) % 76.01/76.26 (define @t159 () (@list @t6 @t4 @t1 @t3 @t12)) % 76.01/76.26 (define @t160 () (tptp.c_Relation_Osingle__valued @t17 @t1 @t12)) % 76.01/76.26 (define @t161 () (not @t160)) % 76.01/76.26 (define @t162 () (not (tptp.c_Relation_Orefl__on @t4 @t44 @t1))) % 76.01/76.26 (define @t163 () (@list @t6 @t4 @t1 @t17 @t44)) % 76.01/76.26 (define @t164 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t60 @t1)) % 76.01/76.26 (define @t165 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t164 @t1)) % 76.01/76.26 (define @t166 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t67 @t60 @t1) @t165)) % 76.01/76.26 (define @t167 () (not (tptp.class_Lattices_Olattice @t1))) % 76.01/76.26 (define @t168 () (= @t165 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t66 @t1))) % 76.01/76.26 (define @t169 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 76.01/76.26 (define @t170 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 76.01/76.26 (define @t171 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t170 @t2)) % 76.01/76.26 (define @t172 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t79 @t4 @t12) @t15 @t1)) % 76.01/76.26 (define @t173 () (tptp.c_Pair @t77 @t79 @t1 @t12)) % 76.01/76.26 (define @t174 () (= @t6 @t19)) % 76.01/76.26 (define @t175 () (tptp.c_in @t21 @t6 @t1)) % 76.01/76.26 (define @t176 () (not @t175)) % 76.01/76.26 (define @t177 () (tptp.c_in @t21 @t4 @t1)) % 76.01/76.26 (define @t178 () (not @t177)) % 76.01/76.26 (define @t179 () (@list @t21 @t4 @t1 @t6)) % 76.01/76.26 (define @t180 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t60 @t1)) % 76.01/76.26 (define @t181 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t61 @t1)) % 76.01/76.26 (define @t182 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t181 @t180 @t1)) % 76.01/76.26 (define @t183 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t164 @t1)) % 76.01/76.26 (define @t184 () (@list @t1 @t21 @t61)) % 76.01/76.26 (define @t185 () (not (= (tptp.c_Relation_Orel__comp @t6 @t3 @t1 @t1 @t1) @t120))) % 76.01/76.26 (define @t186 () (@list @t6 @t3 @t1 @t4)) % 76.01/76.26 (define @t187 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t25 @t17 @t1)) % 76.01/76.26 (define @t188 () (@var "V_xb" $$unsorted)) % 76.01/76.26 (define @t189 () (not (tptp.c_lessequals @t4 @t6 @t2))) % 76.01/76.26 (define @t190 () (= @t6 @t4)) % 76.01/76.26 (define @t191 () (@list @t6 @t4 @t1)) % 76.01/76.26 (define @t192 () (tptp.c_lessequals @t21 @t61 @t1)) % 76.01/76.26 (define @t193 () (not @t192)) % 76.01/76.26 (define @t194 () (tptp.c_lessequals @t61 @t21 @t1)) % 76.01/76.26 (define @t195 () (not @t194)) % 76.01/76.26 (define @t196 () (= @t21 @t61)) % 76.01/76.26 (define @t197 () (not (tptp.class_Orderings_Oorder @t1))) % 76.01/76.26 (define @t198 () (= @t181 @t61)) % 76.01/76.26 (define @t199 () (= @t8 @t4)) % 76.01/76.26 (define @t200 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t44 @t55)) % 76.01/76.26 (define @t201 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t63 @t1)) % 76.01/76.26 (define @t202 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t181 @t60 @t1) @t201)) % 76.01/76.26 (define @t203 () (= @t201 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t180 @t1))) % 76.01/76.26 (define @t204 () (= @t67 @t21)) % 76.01/76.26 (define @t205 () (tptp.c_lessequals @t6 @t3 @t2)) % 76.01/76.26 (define @t206 () (not @t205)) % 76.01/76.26 (define @t207 () (tptp.c_lessequals @t4 @t3 @t2)) % 76.01/76.26 (define @t208 () (not @t207)) % 76.01/76.26 (define @t209 () (tptp.c_lessequals @t8 @t3 @t2)) % 76.01/76.26 (define @t210 () (tptp.c_lessequals @t77 @t21 @t1)) % 76.01/76.26 (define @t211 () (not @t210)) % 76.01/76.26 (define @t212 () (tptp.c_lessequals @t79 @t21 @t1)) % 76.01/76.26 (define @t213 () (not @t212)) % 76.01/76.26 (define @t214 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t77 @t79 @t1)) % 76.01/76.26 (define @t215 () (tptp.c_lessequals @t214 @t21 @t1)) % 76.01/76.26 (define @t216 () (@list @t1 @t77 @t79 @t21)) % 76.01/76.26 (define @t217 () (tptp.c_lessequals @t21 @t181 @t1)) % 76.01/76.26 (define @t218 () (tptp.c_lessequals @t61 @t181 @t1)) % 76.01/76.26 (define @t219 () (@list @t1 @t61 @t21)) % 76.01/76.26 (define @t220 () (tptp.c_lessequals @t60 @t21 @t1)) % 76.01/76.26 (define @t221 () (tptp.c_lessequals @t21 @t60 @t1)) % 76.01/76.26 (define @t222 () (not @t221)) % 76.01/76.26 (define @t223 () (tptp.c_lessequals @t61 @t60 @t1)) % 76.01/76.26 (define @t224 () (not @t223)) % 76.01/76.26 (define @t225 () (tptp.c_lessequals @t181 @t60 @t1)) % 76.01/76.26 (define @t226 () (= @t67 @t62)) % 76.01/76.26 (define @t227 () (tptp.c_Wellfounded_Oacyclic @t17 @t1)) % 76.01/76.26 (define @t228 () (@list @t17 @t1)) % 76.01/76.26 (define @t229 () (= @t77 @t79)) % 76.01/76.26 (define @t230 () (tptp.c_Set_Oinsert @t79 @t19 @t1)) % 76.01/76.26 (define @t231 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t2)) % 76.01/76.26 (define @t232 () (tptp.c_Relation_OField @t17 @t1)) % 76.01/76.26 (define @t233 () (tptp.c_Set_Oinsert @t77 @t230 @t1)) % 76.01/76.26 (define @t234 () (tptp.c_Pair @t77 @t79 @t1 @t1)) % 76.01/76.26 (define @t235 () (@list @t77 @t79 @t1 @t17)) % 76.01/76.26 (define @t236 () (tptp.c_Set_Oinsert @t21 @t4 @t1)) % 76.01/76.26 (define @t237 () (tptp.c_lessequals @t6 @t236 @t2)) % 76.01/76.26 (define @t238 () (@list @t6 @t21 @t4 @t1)) % 76.01/76.26 (define @t239 () (not @t237)) % 76.01/76.26 (define @t240 () (tptp.c_in @t77 @t6 @t1)) % 76.01/76.26 (define @t241 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t114 @t2)) % 76.01/76.26 (define @t242 () (tptp.c_in @t77 @t3 @t1)) % 76.01/76.26 (define @t243 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t3 @t2)) % 76.01/76.26 (define @t244 () (not (= @t8 @t19))) % 76.01/76.26 (define @t245 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t1) @t122))) % 76.01/76.26 (define @t246 () (@list @t1 @t6 @t4)) % 76.01/76.26 (define @t247 () (@var "V_T" $$unsorted)) % 76.01/76.26 (define @t248 () (tptp.c_Relation_OField @t44 @t1)) % 76.01/76.26 (define @t249 () (tptp.c_lessequals @t3 @t72 @t2)) % 76.01/76.26 (define @t250 () (not @t249)) % 76.01/76.26 (define @t251 () (tptp.c_lessequals @t3 @t4 @t2)) % 76.01/76.26 (define @t252 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t77 @t79 @t1)) % 76.01/76.26 (define @t253 () (tptp.c_lessequals @t21 @t252 @t1)) % 76.01/76.26 (define @t254 () (not @t253)) % 76.01/76.26 (define @t255 () (tptp.c_lessequals @t21 @t77 @t1)) % 76.01/76.26 (define @t256 () (@list @t1 @t21 @t77 @t79)) % 76.01/76.26 (define @t257 () (tptp.c_lessequals @t21 @t79 @t1)) % 76.01/76.26 (define @t258 () (tptp.c_lessequals @t252 @t21 @t1)) % 76.01/76.26 (define @t259 () (tptp.c_lessequals @t21 @t164 @t1)) % 76.01/76.26 (define @t260 () (not @t259)) % 76.01/76.26 (define @t261 () (@list @t1 @t21 @t60 @t61)) % 76.01/76.26 (define @t262 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t6 @t2)) % 76.01/76.26 (define @t263 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t21 @t1)) % 76.01/76.26 (define @t264 () (= @t181 @t263)) % 76.01/76.26 (define @t265 () (@var "V_R2" $$unsorted)) % 76.01/76.26 (define @t266 () (@var "V_R1" $$unsorted)) % 76.01/76.26 (define @t267 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t181 @t1) @t181)) % 76.01/76.26 (define @t268 () (tptp.c_Relation_ODomain @t17 @t1 @t12)) % 76.01/76.26 (define @t269 () (tptp.c_Relation_ORange @t4 @t12 @t1)) % 76.01/76.26 (define @t270 () (tptp.c_Relation_ORange @t6 @t12 @t1)) % 76.01/76.26 (define @t271 () (@list @t6 @t4 @t12 @t1)) % 76.01/76.26 (define @t272 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t25 @t17 @t1)) % 76.01/76.26 (define @t273 () (tptp.hBOOL (tptp.hAPP @t72 @t21))) % 76.01/76.26 (define @t274 () (not @t273)) % 76.01/76.26 (define @t275 () (@var "V_g" $$unsorted)) % 76.01/76.26 (define @t276 () (@var "V_f" $$unsorted)) % 76.01/76.26 (define @t277 () (= (tptp.c_Recdef_Ocut @t276 @t17 @t21 @t1 @t12) (tptp.c_Recdef_Ocut @t275 @t17 @t21 @t1 @t12))) % 76.01/76.26 (define @t278 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t276 @t275 @t17 @t21 @t1 @t12)) % 76.01/76.26 (define @t279 () (tptp.c_Pair @t61 @t21 @t1 @t1)) % 76.01/76.26 (define @t280 () (tptp.c_Set_Oinsert @t279 @t17 @t54)) % 76.01/76.26 (define @t281 () (tptp.c_Wellfounded_Oacyclic @t280 @t1)) % 76.01/76.26 (define @t282 () (not @t281)) % 76.01/76.26 (define @t283 () (@list @t17 @t1 @t61 @t21)) % 76.01/76.26 (define @t284 () (tptp.tc_fun @t1 @t12)) % 76.01/76.26 (define @t285 () (tptp.hAPP @t275 @t21)) % 76.01/76.26 (define @t286 () (tptp.hAPP @t276 @t21)) % 76.01/76.26 (define @t287 () (@var "V_c" $$unsorted)) % 76.01/76.26 (define @t288 () (tptp.c_in @t287 @t6 @t1)) % 76.01/76.26 (define @t289 () (not @t288)) % 76.01/76.26 (define @t290 () (tptp.c_in @t287 @t4 @t1)) % 76.01/76.26 (define @t291 () (not @t290)) % 76.01/76.26 (define @t292 () (tptp.c_in @t287 @t72 @t1)) % 76.01/76.26 (define @t293 () (@list @t287 @t6 @t4 @t1)) % 76.01/76.26 (define @t294 () (@var "V_t" $$unsorted)) % 76.01/76.26 (define @t295 () (@list @t287 @t4 @t1 @t6)) % 76.01/76.26 (define @t296 () (tptp.c_in @t287 @t8 @t1)) % 76.01/76.26 (define @t297 () (not (tptp.c_in @t21 @t19 @t1))) % 76.01/76.26 (define @t298 () (@list @t21 @t1)) % 76.01/76.26 (define @t299 () (tptp.hBOOL (tptp.hAPP @t25 @t21))) % 76.01/76.26 (define @t300 () (@list @t25 @t21 @t1)) % 76.01/76.26 (define @t301 () (@list @t77 @t1)) % 76.01/76.26 (define @t302 () (not @t292)) % 76.01/76.26 (define @t303 () (not @t299)) % 76.01/76.26 (define @t304 () (tptp.c_Relation_Oconverse @t12 @t1)) % 76.01/76.26 (define @t305 () (tptp.hAPP @t304 @t44)) % 76.01/76.26 (define @t306 () (tptp.hAPP @t304 @t17)) % 76.01/76.26 (define @t307 () (@list @t12 @t1 @t17 @t44)) % 76.01/76.26 (define @t308 () (not @t227)) % 76.01/76.26 (define @t309 () (tptp.c_Relation_Oconverse @t1 @t1)) % 76.01/76.26 (define @t310 () (tptp.hAPP @t309 @t17)) % 76.01/76.26 (define @t311 () (tptp.c_Wellfounded_Oacyclic @t310 @t1)) % 76.01/76.26 (define @t312 () (@list @t1 @t17)) % 76.01/76.26 (define @t313 () (not (tptp.c_Equiv__Relations_Oequiv @t6 @t17 @t1))) % 76.01/76.26 (define @t314 () (tptp.c_in @t61 @t6 @t1)) % 76.01/76.26 (define @t315 () (not @t314)) % 76.01/76.26 (define @t316 () (tptp.c_Pair @t21 @t61 @t1 @t1)) % 76.01/76.26 (define @t317 () (tptp.c_in @t316 @t17 @t54)) % 76.01/76.26 (define @t318 () (not @t317)) % 76.01/76.26 (define @t319 () (tptp.c_Set_Oinsert @t61 @t19 @t1)) % 76.01/76.26 (define @t320 () (= (tptp.c_Equiv__Relations_Oquotient @t22 @t17 @t1) (tptp.c_Equiv__Relations_Oquotient @t319 @t17 @t1))) % 76.01/76.26 (define @t321 () (@list @t21 @t1 @t17 @t61 @t6)) % 76.01/76.26 (define @t322 () (tptp.c_Orderings_Obot__class_Obot @t38)) % 76.01/76.26 (define @t323 () (= @t77 @t287)) % 76.01/76.26 (define @t324 () (@var "V_d" $$unsorted)) % 76.01/76.26 (define @t325 () (= @t77 @t324)) % 76.01/76.26 (define @t326 () (not (= @t233 (tptp.c_Set_Oinsert @t287 (tptp.c_Set_Oinsert @t324 @t19 @t1) @t1)))) % 76.01/76.26 (define @t327 () (@list @t77 @t79 @t1 @t287 @t324)) % 76.01/76.26 (define @t328 () (= @t79 @t287)) % 76.01/76.26 (define @t329 () (= @t79 @t324)) % 76.01/76.26 (define @t330 () (not @t57)) % 76.01/76.26 (define @t331 () (@list @t17 @t1 @t6)) % 76.01/76.26 (define @t332 () (not @t240)) % 76.01/76.26 (define @t333 () (@var "V_D" $$unsorted)) % 76.01/76.26 (define @t334 () (not (tptp.c_lessequals @t4 @t333 @t2))) % 76.01/76.26 (define @t335 () (@list @t6 @t4 @t1 @t3 @t333)) % 76.01/76.26 (define @t336 () (tptp.c_lessequals @t67 @t21 @t1)) % 76.01/76.26 (define @t337 () (tptp.c_lessequals @t67 @t61 @t1)) % 76.01/76.26 (define @t338 () (not @t255)) % 76.01/76.26 (define @t339 () (not @t257)) % 76.01/76.26 (define @t340 () (@list @t21 @t6 @t1 @t4)) % 76.01/76.26 (define @t341 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t67 @t1) @t67)) % 76.01/76.26 (define @t342 () (tptp.c_Relation_ORange @t17 @t1 @t1)) % 76.01/76.26 (define @t343 () (not @t225)) % 76.01/76.26 (define @t344 () (tptp.c_lessequals @t21 @t214 @t1)) % 76.01/76.26 (define @t345 () (not @t215)) % 76.01/76.26 (define @t346 () (not @t209)) % 76.01/76.26 (define @t347 () (not (tptp.class_Orderings_Opreorder @t1))) % 76.01/76.26 (define @t348 () (not (tptp.c_lessequals @t25 @t26 @t2))) % 76.01/76.26 (define @t349 () (tptp.hBOOL (tptp.hAPP @t26 @t21))) % 76.01/76.26 (define @t350 () (@list @t26 @t21 @t25 @t1)) % 76.01/76.26 (define @t351 () (@var "V_p" $$unsorted)) % 76.01/76.26 (define @t352 () (tptp.c_lessequals @t21 @t21 @t1)) % 76.01/76.26 (define @t353 () (tptp.c_Relation_Oantisym @t17 @t1)) % 76.01/76.26 (define @t354 () (not (tptp.c_lessequals @t17 @t44 @t14))) % 76.01/76.26 (define @t355 () (@list @t17 @t1 @t12 @t44)) % 76.01/76.26 (define @t356 () (tptp.c_Relation_ORange @t17 @t12 @t1)) % 76.01/76.26 (define @t357 () (@list @t17 @t12 @t1)) % 76.01/76.26 (define @t358 () (@var "V_A_H" $$unsorted)) % 76.01/76.26 (define @t359 () (tptp.c_Relation_OImage @t17 @t6 @t1 @t12)) % 76.01/76.26 (define @t360 () (tptp.c_in @t234 @t134 @t54)) % 76.01/76.26 (define @t361 () (not @t360)) % 76.01/76.26 (define @t362 () (tptp.hBOOL (tptp.hAPP @t25 @t79))) % 76.01/76.26 (define @t363 () (not @t362)) % 76.01/76.26 (define @t364 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t25 @t79 @t17 @t1)) % 76.01/76.26 (define @t365 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t25 @t79 @t17 @t1)) % 76.01/76.26 (define @t366 () (@list @t25 @t77 @t79 @t17 @t1)) % 76.01/76.26 (define @t367 () (not @t106)) % 76.01/76.26 (define @t368 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t25 @t77 @t17 @t1)) % 76.01/76.26 (define @t369 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t25 @t77 @t17 @t1)) % 76.01/76.26 (define @t370 () (@list @t25 @t79 @t77 @t17 @t1)) % 76.01/76.26 (define @t371 () (= @t61 @t60)) % 76.01/76.26 (define @t372 () (tptp.c_in @t21 @t109 @t54)) % 76.01/76.26 (define @t373 () (@list @t21 @t28 @t36 @t1)) % 76.01/76.26 (define @t374 () (tptp.c_in @t351 @t87 @t54)) % 76.01/76.26 (define @t375 () (tptp.c_Relation_Orel__comp @t28 @t28 @t1 @t1 @t1)) % 76.01/76.26 (define @t376 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t375 (tptp.c_Relation_Orel__comp @t36 @t28 @t1 @t1 @t1) @t55) @t36 @t55) @t1)) % 76.01/76.26 (define @t377 () (@list @t28 @t1)) % 76.01/76.26 (define @t378 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t23 @t55)) % 76.01/76.26 (define @t379 () (tptp.c_Relation_Oantisym @t378 @t1)) % 76.01/76.26 (define @t380 () (not @t353)) % 76.01/76.26 (define @t381 () (tptp.c_in @t234 @t17 @t54)) % 76.01/76.26 (define @t382 () (not @t381)) % 76.01/76.26 (define @t383 () (tptp.c_Relation_OImage @t17 @t230 @t1 @t1)) % 76.01/76.26 (define @t384 () (tptp.c_Relation_OImage @t17 @t78 @t1 @t1)) % 76.01/76.26 (define @t385 () (@list @t17 @t77 @t1 @t79 @t6)) % 76.01/76.26 (define @t386 () (tptp.c_Pair @t21 @t21 @t1 @t1)) % 76.01/76.26 (define @t387 () (not (tptp.c_in @t386 @t87 @t54))) % 76.01/76.26 (define @t388 () (= @t384 @t383)) % 76.01/76.26 (define @t389 () (not @t388)) % 76.01/76.26 (define @t390 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t391 () (@var "V_F" $$unsorted)) % 76.01/76.26 (define @t392 () (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 @t391)) % 76.01/76.26 (define @t393 () (tptp.c_Pair (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3 @t391) (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4 @t391) tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t394 () (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t391)) % 76.01/76.26 (define @t395 () (@list @t391)) % 76.01/76.26 (define @t396 () (@var "V_i" $$unsorted)) % 76.01/76.26 (define @t397 () (@list @t391 @t396)) % 76.01/76.26 (define @t398 () (tptp.c_Product__Type_OSigma @t6 @t4 @t1 @t12)) % 76.01/76.26 (define @t399 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t77 @t79 @t17 @t1)) % 76.01/76.26 (define @t400 () (@list @t77 @t79 @t17 @t1)) % 76.01/76.26 (define @t401 () (tptp.c_Pair @t21 @t60 @t1 @t1)) % 76.01/76.26 (define @t402 () (not (tptp.c_in @t401 @t134 @t54))) % 76.01/76.26 (define @t403 () (= @t21 @t60)) % 76.01/76.26 (define @t404 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t17 @t21 @t60 @t1)) % 76.01/76.26 (define @t405 () (@list @t17 @t21 @t60 @t1)) % 76.01/76.26 (define @t406 () (@list @t21 @t17 @t60 @t1)) % 76.01/76.26 (define @t407 () (tptp.c_in @t316 @t134 @t54)) % 76.01/76.26 (define @t408 () (not @t407)) % 76.01/76.26 (define @t409 () (tptp.c_Pair @t61 @t60 @t1 @t1)) % 76.01/76.26 (define @t410 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 76.01/76.26 (define @t411 () (tptp.c_Transitive__Closure_Ortrancl @t17 tptp.t_a)) % 76.01/76.26 (define @t412 () (@var "V_a2" $$unsorted)) % 76.01/76.26 (define @t413 () (@var "V_a1" $$unsorted)) % 76.01/76.26 (define @t414 () (tptp.c_Pair @t413 @t412 tptp.t_a tptp.t_a)) % 76.01/76.26 (define @t415 () (not (tptp.c_in @t414 @t411 @t410))) % 76.01/76.26 (define @t416 () (= @t412 @t413)) % 76.01/76.26 (define @t417 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t413 @t412 @t17)) % 76.01/76.26 (define @t418 () (@list @t413 @t412 @t17)) % 76.01/76.26 (define @t419 () (tptp.hBOOL (tptp.hAPP @t25 @t61))) % 76.01/76.26 (define @t420 () (@list @t25 @t77 @t61 @t17 @t1)) % 76.01/76.26 (define @t421 () (@var "V_Ra" $$unsorted)) % 76.01/76.26 (define @t422 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t17 @t1)) % 76.01/76.26 (define @t423 () (tptp.c_in @t386 @t17 @t54)) % 76.01/76.26 (define @t424 () (@list @t21 @t1 @t17)) % 76.01/76.26 (define @t425 () (tptp.c_in @t401 @t87 @t54)) % 76.01/76.26 (define @t426 () (not @t425)) % 76.01/76.26 (define @t427 () (tptp.c_in @t401 @t17 @t54)) % 76.01/76.26 (define @t428 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t17 @t21 @t60 @t1)) % 76.01/76.26 (define @t429 () (tptp.c_Transitive__Closure_Otrancl @t17 tptp.t_a)) % 76.01/76.26 (define @t430 () (not (tptp.c_in @t414 @t429 @t410))) % 76.01/76.26 (define @t431 () (tptp.c_in @t414 @t17 @t410)) % 76.01/76.26 (define @t432 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t413 @t412 @t17)) % 76.01/76.26 (define @t433 () (tptp.c_in @t234 @t87 @t54)) % 76.01/76.26 (define @t434 () (not @t433)) % 76.01/76.26 (define @t435 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t77 @t79 @t17 @t1)) % 76.01/76.26 (define @t436 () (not (tptp.c_in @t79 @t6 @t1))) % 76.01/76.26 (define @t437 () (not (tptp.c_in (tptp.c_Pair @t77 @t287 @t1 @t12) (tptp.c_Relation_Orel__comp @t17 @t44 @t1 @t41 @t12) @t13))) % 76.01/76.26 (define @t438 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t77 @t287 @t17 @t44 @t1 @t12 @t41)) % 76.01/76.26 (define @t439 () (@list @t77 @t287 @t17 @t44 @t1 @t12 @t41)) % 76.01/76.26 (define @t440 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 @t6 @t4 @t276 @t1 @t12)) % 76.01/76.26 (define @t441 () (tptp.c_in @t276 (tptp.c_FuncSet_OPi @t6 @t4 @t1 @t12) @t284)) % 76.01/76.26 (define @t442 () (@list @t276 @t6 @t4 @t1 @t12)) % 76.01/76.26 (define @t443 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 @t6 @t4 @t276 @t1 @t12)) % 76.01/76.26 (define @t444 () (@list @t276 @t21 @t4 @t12 @t6 @t1)) % 76.01/76.26 (define @t445 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t351 @t1)) % 76.01/76.26 (define @t446 () (tptp.c_Wellfounded_Oacc @t17 @t1)) % 76.01/76.26 (define @t447 () (not (tptp.c_in @t287 @t59 @t54))) % 76.01/76.26 (define @t448 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t6 @t287 @t1)) % 76.01/76.26 (define @t449 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t87 @t23 @t55)) % 76.01/76.26 (define @t450 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__3 @t391)) % 76.01/76.26 (define @t451 () (tptp.c_Pair (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__4 @t391) (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__5 @t391) tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t452 () (tptp.c_in @t451 (tptp.hAPP @t450 @t396) @t390)) % 76.01/76.26 (define @t453 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__2 @t391)) % 76.01/76.26 (define @t454 () (tptp.c_in @t451 (tptp.hAPP @t453 @t396) @t390)) % 76.01/76.26 (define @t455 () (tptp.c_Arrow__Order__Mirabelle_OIIA @t391)) % 76.01/76.26 (define @t456 () (tptp.c_in @t451 (tptp.hAPP @t391 @t453) @t390)) % 76.01/76.26 (define @t457 () (tptp.c_in @t451 (tptp.hAPP @t391 @t450) @t390)) % 76.01/76.26 (define @t458 () (tptp.c_Relation_Orel__comp @t134 @t17 @t1 @t1 @t1)) % 76.01/76.26 (define @t459 () (tptp.c_Relation_Orel__comp @t310 @t17 @t1 @t1 @t1)) % 76.01/76.26 (define @t460 () (@list @t21 @t61 @t1 @t17)) % 76.01/76.26 (define @t461 () (@list @t61 @t21 @t1 @t17)) % 76.01/76.26 (define @t462 () (tptp.c_in @t79 (tptp.c_Relation_OImage @t17 (tptp.c_Set_Oinsert @t77 @t126 @t12) @t12 @t1) @t1)) % 76.01/76.26 (define @t463 () (tptp.c_Pair @t77 @t79 @t12 @t1)) % 76.01/76.26 (define @t464 () (tptp.c_in @t463 @t17 @t37)) % 76.01/76.26 (define @t465 () (@list @t77 @t79 @t12 @t1 @t17)) % 76.01/76.26 (define @t466 () (= (tptp.c_Relation_OImage @t17 @t22 @t1 @t1) (tptp.c_Relation_OImage @t17 @t319 @t1 @t1))) % 76.01/76.26 (define @t467 () (@list @t17 @t21 @t1 @t61 @t6)) % 76.01/76.26 (define @t468 () (not @t466)) % 76.01/76.26 (define @t469 () (tptp.c_Transitive__Closure_Otrancl @t28 @t1)) % 76.01/76.26 (define @t470 () (tptp.c_in @t316 @t469 @t54)) % 76.01/76.26 (define @t471 () (not @t470)) % 76.01/76.26 (define @t472 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t28 @t21 @t61 @t1)) % 76.01/76.26 (define @t473 () (@list @t21 @t28 @t61 @t1)) % 76.01/76.26 (define @t474 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t28 @t21 @t61 @t1)) % 76.01/76.26 (define @t475 () (@list @t28 @t21 @t61 @t1)) % 76.01/76.26 (define @t476 () (tptp.c_in @t77 @t446 @t1)) % 76.01/76.26 (define @t477 () (not @t476)) % 76.01/76.26 (define @t478 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t25 @t17 @t1)) % 76.01/76.26 (define @t479 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t17 @t21 @t1)) % 76.01/76.26 (define @t480 () (tptp.c_in @t21 @t446 @t1)) % 76.01/76.26 (define @t481 () (@list @t21 @t17 @t1)) % 76.01/76.26 (define @t482 () (tptp.c_Wellfounded_Oacc @t17 tptp.t_a)) % 76.01/76.26 (define @t483 () (not (tptp.c_in @t21 @t482 tptp.t_a))) % 76.01/76.26 (define @t484 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t25 @t17)) % 76.01/76.26 (define @t485 () (@list @t25 @t21 @t17)) % 76.01/76.26 (define @t486 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t25 @t17 @t1)) % 76.01/76.26 (define @t487 () (tptp.c_Wellfounded_Oacc @t28 @t1)) % 76.01/76.26 (define @t488 () (tptp.c_in @t21 @t487 @t1)) % 76.01/76.26 (define @t489 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t28 @t21 @t1)) % 76.01/76.26 (define @t490 () (@list @t28 @t21 @t1)) % 76.01/76.26 (define @t491 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t25 @t17)) % 76.01/76.26 (define @t492 () (tptp.c_in @t79 (tptp.c_Relation_OImage @t17 @t6 @t12 @t1) @t1)) % 76.01/76.26 (define @t493 () (not @t492)) % 76.01/76.26 (define @t494 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t6 @t79 @t17 @t12 @t1)) % 76.01/76.26 (define @t495 () (@list @t6 @t79 @t17 @t12 @t1)) % 76.01/76.26 (define @t496 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t6 @t79 @t17 @t12 @t1)) % 76.01/76.26 (define @t497 () (tptp.c_Wellfounded_Owf @t280 @t1)) % 76.01/76.26 (define @t498 () (not @t497)) % 76.01/76.26 (define @t499 () (not (tptp.c_in @t21 @t26 @t1))) % 76.01/76.26 (define @t500 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t26 @t28 @t1)) % 76.01/76.26 (define @t501 () (not (tptp.c_in @t20 @t26 @t1))) % 76.01/76.26 (define @t502 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t26 @t17 @t1)) % 76.01/76.26 (define @t503 () (@var "V_r2" $$unsorted)) % 76.01/76.26 (define @t504 () (@var "V_r1" $$unsorted)) % 76.01/76.26 (define @t505 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t504 @t503 @t276 @t1 @t12 @t41))) % 76.01/76.26 (define @t506 () (@var "V_z1" $$unsorted)) % 76.01/76.26 (define @t507 () (@var "V_y1" $$unsorted)) % 76.01/76.26 (define @t508 () (tptp.tc_prod @t12 @t12)) % 76.01/76.26 (define @t509 () (@var "V_z2" $$unsorted)) % 76.01/76.26 (define @t510 () (@var "V_y2" $$unsorted)) % 76.01/76.26 (define @t511 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t391 @t396)) % 76.01/76.26 (define @t512 () (tptp.v_sko__Arrow__Order__Mirabelle__Xdictator__def__1 @t391 @t396)) % 76.01/76.26 (define @t513 () (@list @t21 @t6 @t1)) % 76.01/76.26 (define @t514 () (@list @t77 @t79 @t1 @t12 @t17)) % 76.01/76.26 (define @t515 () (tptp.c_Set_Oinsert @t61 @t6 @t1)) % 76.01/76.26 (define @t516 () (tptp.hBOOL (tptp.hAPP @t515 @t21))) % 76.01/76.26 (define @t517 () (= @t61 @t21)) % 76.01/76.26 (define @t518 () (tptp.c_in @t77 (tptp.c_Set_Oinsert @t79 @t6 @t1) @t1)) % 76.01/76.26 (define @t519 () (tptp.tc_fun @t390 tptp.tc_bool)) % 76.01/76.26 (define @t520 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t519)) % 76.01/76.26 (define @t521 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t17 @t1)) % 76.01/76.26 (define @t522 () (tptp.c_Nitpick_Orefl_H @t17 @t1)) % 76.01/76.26 (define @t523 () (not (tptp.c_in @t61 @t26 @t1))) % 76.01/76.26 (define @t524 () (tptp.c_in @t77 @t268 @t1)) % 76.01/76.26 (define @t525 () (not @t524)) % 76.01/76.26 (define @t526 () (@list @t77 @t17 @t1 @t12)) % 76.01/76.26 (define @t527 () (@var "V_ya" $$unsorted)) % 76.01/76.26 (define @t528 () (tptp.c_in @t527 @t482 tptp.t_a)) % 76.01/76.26 (define @t529 () (@list @t25 @t21 @t527 @t17)) % 76.01/76.26 (define @t530 () (@list @t25 @t21 @t61 @t17)) % 76.01/76.26 (define @t531 () (tptp.c_in @t77 @t356 @t1)) % 76.01/76.26 (define @t532 () (tptp.c_Pair @t79 @t287 @t1 @t1)) % 76.01/76.26 (define @t533 () (not (tptp.c_in @t532 @t17 @t54))) % 76.01/76.26 (define @t534 () (tptp.c_Pair @t77 @t287 @t1 @t1)) % 76.01/76.26 (define @t535 () (tptp.c_in @t534 @t134 @t54)) % 76.01/76.26 (define @t536 () (@list @t77 @t287 @t1 @t17 @t79)) % 76.01/76.26 (define @t537 () (not (tptp.c_in @t532 @t87 @t54))) % 76.01/76.26 (define @t538 () (tptp.c_in @t534 @t87 @t54)) % 76.01/76.26 (define @t539 () (tptp.c_Pair @t21 @t77 @t1 @t1)) % 76.01/76.26 (define @t540 () (not (tptp.c_in @t539 @t17 @t54))) % 76.01/76.26 (define @t541 () (tptp.c_in @t21 (tptp.c_Relation_ODomain @t28 @t1 @t1) @t1)) % 76.01/76.26 (define @t542 () (tptp.c_in @t316 @t111 @t54)) % 76.01/76.26 (define @t543 () (not @t542)) % 76.01/76.26 (define @t544 () (@list @t21 @t61 @t1 @t28)) % 76.01/76.26 (define @t545 () (tptp.c_in @t386 @t111 @t54)) % 76.01/76.26 (define @t546 () (tptp.c_Pair @t79 @t77 @t1 @t1)) % 76.01/76.26 (define @t547 () (not (tptp.c_in @t546 @t134 @t54))) % 76.01/76.26 (define @t548 () (tptp.c_in @t79 @t446 @t1)) % 76.01/76.26 (define @t549 () (@list @t79 @t17 @t1 @t77)) % 76.01/76.26 (define @t550 () (tptp.c_Relation_Osym @t310 @t1)) % 76.01/76.26 (define @t551 () (tptp.c_Relation_Orefl__on @t6 @t310 @t1)) % 76.01/76.26 (define @t552 () (@list @t6 @t17 @t1)) % 76.01/76.26 (define @t553 () (@list @t6 @t1 @t17)) % 76.01/76.26 (define @t554 () (= @t310 @t17)) % 76.01/76.26 (define @t555 () (tptp.hAPP @t309 @t87)) % 76.01/76.26 (define @t556 () (tptp.c_Transitive__Closure_Otrancl @t310 @t1)) % 76.01/76.26 (define @t557 () (tptp.c_Relation_Oantisym @t310 @t1)) % 76.01/76.26 (define @t558 () (tptp.c_Transitive__Closure_Ortrancl @t310 @t1)) % 76.01/76.26 (define @t559 () (tptp.c_Relation_Ototal__on @t6 @t310 @t1)) % 76.01/76.26 (define @t560 () (tptp.c_Relation_Ototal__on @t6 @t17 @t1)) % 76.01/76.26 (define @t561 () (not @t560)) % 76.01/76.26 (define @t562 () (not (tptp.c_in @t351 @t17 @t54))) % 76.01/76.26 (define @t563 () (@list @t351 @t17 @t1)) % 76.01/76.26 (define @t564 () (not (tptp.c_in @t532 @t134 @t54))) % 76.01/76.26 (define @t565 () (tptp.c_Wellfounded_Owf @t375 @t1)) % 76.01/76.26 (define @t566 () (tptp.c_Relation_Oinv__image @t17 @t276 @t1 @t12)) % 76.01/76.26 (define @t567 () (@list @t17 @t276 @t1 @t12)) % 76.01/76.26 (define @t568 () (tptp.c_Relation_Orel__comp @t17 @t134 @t1 @t1 @t1)) % 76.01/76.26 (define @t569 () (@var "T_d" $$unsorted)) % 76.01/76.26 (define @t570 () (= @t459 @t17)) % 76.01/76.26 (define @t571 () (tptp.hAPP (tptp.c_Relation_Oconverse @t1 @t12) @t17)) % 76.01/76.26 (define @t572 () (tptp.c_Relation_ODomain @t306 @t1 @t12)) % 76.01/76.26 (define @t573 () (@list @t12 @t1 @t17)) % 76.01/76.26 (define @t574 () (tptp.c_Pair @t77 @t77 @t1 @t1)) % 76.01/76.26 (define @t575 () (@list @t77 @t1 @t17)) % 76.01/76.26 (define @t576 () (tptp.c_in @t279 @t17 @t54)) % 76.01/76.26 (define @t577 () (not @t576)) % 76.01/76.26 (define @t578 () (tptp.c_in @t546 @t17 @t54)) % 76.01/76.26 (define @t579 () (tptp.hAPP @t276 @t61)) % 76.01/76.26 (define @t580 () (not (tptp.c_in @t316 @t59 @t54))) % 76.01/76.26 (define @t581 () (tptp.c_in @t574 @t17 @t54)) % 76.01/76.26 (define @t582 () (tptp.c_in (tptp.c_Pair @t286 @t579 @t12 @t12) @t17 @t508)) % 76.01/76.26 (define @t583 () (tptp.c_in @t316 (tptp.c_Relation_Oinv__image @t17 @t276 @t12 @t1) @t54)) % 76.01/76.26 (define @t584 () (not (tptp.c_in @t173 @t17 @t13))) % 76.01/76.26 (define @t585 () (not @t441)) % 76.01/76.26 (define @t586 () (tptp.c_in @t286 @t150 @t12)) % 76.01/76.26 (define @t587 () (@var "V_L" $$unsorted)) % 76.01/76.26 (define @t588 () (tptp.c_Pair @t21 @t61 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t589 () (tptp.c_in @t588 @t587 @t390)) % 76.01/76.26 (define @t590 () (not @t589)) % 76.01/76.26 (define @t591 () (tptp.c_in @t588 (tptp.c_Arrow__Order__Mirabelle_Omktop @t587 @t60) @t390)) % 76.01/76.26 (define @t592 () (@list @t21 @t61 @t587 @t60)) % 76.01/76.26 (define @t593 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t587 @t21)) % 76.01/76.26 (define @t594 () (tptp.c_Pair @t21 @t21 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t595 () (@list @t21 @t587)) % 76.01/76.26 (define @t596 () (@list @t21 @t61 @t587)) % 76.01/76.26 (define @t597 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t587 @t21)) % 76.01/76.26 (define @t598 () (tptp.c_Pair @t20 @t21 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t599 () (@list @t20 @t21 @t587)) % 76.01/76.26 (define @t600 () (tptp.c_in @t588 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t587 @t60) @t390)) % 76.01/76.26 (define @t601 () (= @t20 @t21)) % 76.01/76.26 (define @t602 () (tptp.c_Pair @t77 @t79 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t603 () (not @t455)) % 76.01/76.26 (define @t604 () (not (tptp.c_in @t21 tptp.c_Arrow__Order__Mirabelle_OProf @t520))) % 76.01/76.26 (define @t605 () (not (tptp.c_in @t20 tptp.c_Arrow__Order__Mirabelle_OProf @t520))) % 76.01/76.26 (define @t606 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 @t77 @t79 @t21 @t20)) % 76.01/76.26 (define @t607 () (tptp.c_in @t602 (tptp.hAPP @t21 @t606) @t390)) % 76.01/76.26 (define @t608 () (not @t607)) % 76.01/76.26 (define @t609 () (tptp.c_in @t602 (tptp.hAPP @t20 @t606) @t390)) % 76.01/76.26 (define @t610 () (not @t609)) % 76.01/76.26 (define @t611 () (tptp.c_in @t602 (tptp.hAPP @t391 @t20) @t390)) % 76.01/76.26 (define @t612 () (not @t611)) % 76.01/76.26 (define @t613 () (tptp.hAPP @t391 @t21)) % 76.01/76.26 (define @t614 () (tptp.c_in @t602 @t613 @t390)) % 76.01/76.26 (define @t615 () (@list @t77 @t79 @t391 @t21 @t20)) % 76.01/76.26 (define @t616 () (not @t614)) % 76.01/76.26 (define @t617 () (@list @t77 @t79 @t391 @t20 @t21)) % 76.01/76.26 (define @t618 () (tptp.c_in @t79 (tptp.hAPP @t4 @t77) @t12)) % 76.01/76.26 (define @t619 () (tptp.c_in @t173 @t398 @t13)) % 76.01/76.26 (define @t620 () (@list @t61 @t6 @t1 @t21 @t17)) % 76.01/76.26 (define @t621 () (@list @t21 @t6 @t1 @t61 @t17)) % 76.01/76.26 (define @t622 () (not @t619)) % 76.01/76.26 (define @t623 () (tptp.c_in @t316 @t555 @t54)) % 76.01/76.26 (define @t624 () (tptp.c_in @t316 @t556 @t54)) % 76.01/76.26 (define @t625 () (tptp.c_in @t316 @t558 @t54)) % 76.01/76.26 (define @t626 () (tptp.c_in @t279 @t134 @t54)) % 76.01/76.26 (define @t627 () (not (tptp.c_in @t25 tptp.c_Arrow__Order__Mirabelle_OProf @t520))) % 76.01/76.26 (define @t628 () (@var "V_P_H" $$unsorted)) % 76.01/76.26 (define @t629 () (not (tptp.c_in @t628 tptp.c_Arrow__Order__Mirabelle_OProf @t520))) % 76.01/76.26 (define @t630 () (tptp.v_sko__local__X3__1 @t25 @t628 @t77 @t79)) % 76.01/76.26 (define @t631 () (tptp.c_in @t602 (tptp.hAPP @t25 @t630) @t390)) % 76.01/76.26 (define @t632 () (not @t631)) % 76.01/76.26 (define @t633 () (tptp.c_Pair @t79 @t77 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t634 () (tptp.c_in @t633 (tptp.hAPP @t628 @t630) @t390)) % 76.01/76.26 (define @t635 () (not @t634)) % 76.01/76.26 (define @t636 () (tptp.hAPP tptp.v_F @t628)) % 76.01/76.26 (define @t637 () (tptp.c_in @t633 @t636 @t390)) % 76.01/76.26 (define @t638 () (not @t637)) % 76.01/76.26 (define @t639 () (tptp.c_in @t602 (tptp.hAPP tptp.v_F @t25) @t390)) % 76.01/76.26 (define @t640 () (@list @t77 @t79 @t25 @t628)) % 76.01/76.26 (define @t641 () (not @t639)) % 76.01/76.26 (define @t642 () (@list @t79 @t77 @t628 @t25)) % 76.01/76.26 (define @t643 () (@var "V_b_H" $$unsorted)) % 76.01/76.26 (define @t644 () (@var "V_a_H" $$unsorted)) % 76.01/76.26 (define @t645 () (= @t644 @t643)) % 76.01/76.26 (define @t646 () (= @t77 @t643)) % 76.01/76.26 (define @t647 () (= @t79 @t644)) % 76.01/76.26 (define @t648 () (tptp.v_sko__local__X2__1 @t25 @t628 @t77 @t644 @t79 @t643)) % 76.01/76.26 (define @t649 () (tptp.c_in @t602 (tptp.hAPP @t25 @t648) @t390)) % 76.01/76.26 (define @t650 () (not @t649)) % 76.01/76.26 (define @t651 () (tptp.c_Pair @t644 @t643 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t652 () (tptp.c_in @t651 (tptp.hAPP @t628 @t648) @t390)) % 76.01/76.26 (define @t653 () (not @t652)) % 76.01/76.26 (define @t654 () (tptp.c_in @t651 @t636 @t390)) % 76.01/76.26 (define @t655 () (not @t654)) % 76.01/76.26 (define @t656 () (or @t639 @t655 @t653 @t650 @t629 @t627 @t647 @t646 @t645 @t229)) % 76.01/76.26 (define @t657 () (@list @t77 @t79 @t25 @t644 @t643 @t628)) % 76.01/76.26 (define @t658 () (forall @t657 @t656)) % 76.01/76.26 (define @t659 () (or @t654 @t641 @t653 @t650 @t629 @t627 @t647 @t646 @t645 @t229)) % 76.01/76.26 (define @t660 () (@list @t644 @t643 @t628 @t77 @t79 @t25)) % 76.01/76.26 (define @t661 () (forall @t660 @t659)) % 76.01/76.26 (define @t662 () (or @t639 @t655 @t652 @t649 @t629 @t627 @t647 @t646 @t645 @t229)) % 76.01/76.26 (define @t663 () (forall @t657 @t662)) % 76.01/76.26 (define @t664 () (or @t654 @t641 @t652 @t649 @t629 @t627 @t647 @t646 @t645 @t229)) % 76.01/76.26 (define @t665 () (forall @t660 @t664)) % 76.01/76.26 (define @t666 () (tptp.v_sko__local__X1__1 @t25 @t628 @t77 @t644 @t79 @t643)) % 76.01/76.26 (define @t667 () (tptp.c_in @t602 (tptp.hAPP @t25 @t666) @t390)) % 76.01/76.26 (define @t668 () (tptp.c_in @t651 (tptp.hAPP @t628 @t666) @t390)) % 76.01/76.26 (define @t669 () (= tptp.v_a____ tptp.v_b____)) % 76.01/76.26 (define @t670 () (@var "V_x_H" $$unsorted)) % 76.01/76.26 (define @t671 () (@var "T_e" $$unsorted)) % 76.01/76.26 (define @t672 () (@var "V_g_H" $$unsorted)) % 76.01/76.26 (define @t673 () (@var "V_f_H" $$unsorted)) % 76.01/76.26 (define @t674 () (tptp.hAPP (tptp.c_Fun_Ocomp @t276 @t275 @t12 @t1 @t41) @t21)) % 76.01/76.26 (define @t675 () (tptp.hAPP @t276 @t285)) % 76.01/76.26 (define @t676 () (@var "V_v" $$unsorted)) % 76.01/76.26 (define @t677 () (tptp.hAPP @t77 (tptp.hAPP @t79 @t676))) % 76.01/76.26 (define @t678 () (tptp.c_Fun_Ocomp @t77 @t79 @t41 @t12 @t1)) % 76.01/76.26 (define @t679 () (not (= @t173 (tptp.c_Pair @t644 @t643 @t1 @t12)))) % 76.01/76.26 (define @t680 () (@list @t77 @t79 @t1 @t12 @t644 @t643)) % 76.01/76.26 (define @t681 () (tptp.c_Pair @t79 @t77 @t12 @t1)) % 76.01/76.26 (define @t682 () (tptp.c_in @t681 @t17 @t37)) % 76.01/76.26 (define @t683 () (tptp.c_in @t173 @t306 @t13)) % 76.01/76.26 (define @t684 () (@list @t79 @t77 @t12 @t1 @t17)) % 76.01/76.26 (define @t685 () (@var "V_h" $$unsorted)) % 76.01/76.26 (define @t686 () (tptp.c_Pair tptp.v_b____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.26 (define @t687 () (tptp.c_in @t686 (tptp.hAPP tptp.v_P_H____ @t396) @t390)) % 76.01/76.26 (define @t688 () (not @t687)) % 76.01/76.26 (define @t689 () (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.hAPP tptp.v_P____ @t396) @t390)) % 76.01/76.26 (define @t690 () (@list @t396)) % 76.01/76.26 (define @t691 () (= tptp.v_b____ tptp.v_c____)) % 76.01/76.26 (define @t692 () (tptp.c_in tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf @t520)) % 76.01/76.27 (define @t693 () (tptp.hBOOL (tptp.hAPP @t36 @t21))) % 76.01/76.27 (define @t694 () (tptp.c_in @t21 @t36 @t1)) % 76.01/76.27 (define @t695 () (tptp.c_Fun_Ocomp (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_P____ @t519 @t519 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 76.01/76.27 (define @t696 () (tptp.c_in @t695 tptp.c_Arrow__Order__Mirabelle_OProf @t520)) % 76.01/76.27 (define @t697 () (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 76.01/76.27 (define @t698 () (tptp.c_in @t697 (tptp.hAPP @t695 @t396) @t390)) % 76.01/76.27 (define @t699 () (tptp.c_in @t697 (tptp.hAPP tptp.v_F @t695) @t390)) % 76.01/76.27 (define @t700 () (not @t699)) % 76.01/76.27 (define @t701 () (tptp.c_in @t686 (tptp.hAPP tptp.v_F tptp.v_P_H____) @t390)) % 76.01/76.27 (define @t702 () (not @t701)) % 76.01/76.27 (define @t703 () (@var "T_1" $$unsorted)) % 76.01/76.27 (define @t704 () (not (tptp.class_Lattices_Olattice @t703))) % 76.01/76.27 (define @t705 () (@var "T_2" $$unsorted)) % 76.01/76.27 (define @t706 () (tptp.tc_fun @t705 @t703)) % 76.01/76.27 (define @t707 () (@list @t705 @t703)) % 76.01/76.27 (define @t708 () (@var "V_Y" $$unsorted)) % 76.01/76.27 (define @t709 () (@var "V_X" $$unsorted)) % 76.01/76.27 (define @t710 () (tptp.v_sko__local__X2__1 @t695 tptp.v_P_H____ tptp.v_b____ tptp.v_b____ tptp.v_a____ tptp.v_c____)) % 76.01/76.27 (define @t711 () (@list @t710)) % 76.01/76.27 (define @t712 () (tptp.c_in @t686 (tptp.hAPP tptp.v_P_H____ @t710) @t390)) % 76.01/76.27 (define @t713 () (not @t712)) % 76.01/76.27 (define @t714 () (tptp.c_in @t697 (tptp.hAPP @t695 @t710) @t390)) % 76.01/76.27 (define @t715 () (or @t714 @t713)) % 76.01/76.27 (define @t716 () (not @t696)) % 76.01/76.27 (define @t717 () (not @t692)) % 76.01/76.27 (define @t718 () (or @t701 @t700 @t712 @t714 @t717 @t716 @t669 @t691 @t691 @t669)) % 76.01/76.27 (define @t719 () (forall @t660 (or @t654 @t641 @t652 @t649 @t629 @t627 @t647 @t646 @t645 @t80))) % 76.01/76.27 (define @t720 () (@list tptp.v_b____ tptp.v_c____ tptp.v_P_H____ tptp.v_b____ tptp.v_a____ @t695)) % 76.01/76.27 (define @t721 () (= tptp.v_b____ tptp.v_a____)) % 76.01/76.27 (define @t722 () (or @t701 @t700 @t712 @t714 @t717 @t716 @t721 @t691 @t691 @t721)) % 76.01/76.27 (define @t723 () (@list false)) % 76.01/76.27 (define @t724 () (not @t714)) % 76.01/76.27 (define @t725 () (or @t712 @t724)) % 76.01/76.27 (define @t726 () (or @t701 @t700 @t713 @t724 @t717 @t716 @t669 @t691 @t691 @t669)) % 76.01/76.27 (define @t727 () (forall @t660 (or @t654 @t641 @t653 @t650 @t629 @t627 @t647 @t646 @t645 @t80))) % 76.01/76.27 (define @t728 () (or @t701 @t700 @t713 @t724 @t717 @t716 @t721 @t691 @t691 @t721)) % 76.01/76.27 (define @t729 () (@list false true false false false true true false false)) % 76.01/76.27 (define @t730 () (or @t699 @t702 @t713 @t724 @t717 @t716 @t669 @t691 @t691 @t669)) % 76.01/76.27 (define @t731 () (forall @t657 (or @t639 @t655 @t653 @t650 @t629 @t627 @t647 @t646 @t645 @t80))) % 76.01/76.27 (define @t732 () (@list tptp.v_b____ tptp.v_a____ @t695 tptp.v_b____ tptp.v_c____ tptp.v_P_H____)) % 76.01/76.27 (define @t733 () (or @t699 @t702 @t713 @t724 @t717 @t716 @t721 @t691 @t691 @t721)) % 76.01/76.27 (define @t734 () (@list true false)) % 76.01/76.27 (define @t735 () (or @t699 @t702 @t712 @t714 @t717 @t716 @t721 @t691 @t691 @t721)) % 76.01/76.27 (define @t736 () (not @t735)) % 76.01/76.27 (define @t737 () (or @t699 @t702 @t712 @t714 @t717 @t716 @t669 @t691 @t691 @t669)) % 76.01/76.27 (define @t738 () (forall @t657 (or @t639 @t655 @t652 @t649 @t629 @t627 @t647 @t646 @t645 @t80))) % 76.01/76.27 (assume @p1 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t3 @t2) @t7))) % 76.01/76.27 (assume @p2 (forall @t11 (= @t7 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t10 @t2)))) % 76.01/76.27 (assume @p3 (forall (@list @t17 @t3 @t1 @t12 @t4 @t6) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t17 @t3 @t1 @t12) @t4 @t15) @t18))) % 76.01/76.27 (assume @p4 (forall (@list @t20 @t21 @t1) (= (tptp.c_Set_Oinsert @t20 @t22 @t1) (tptp.c_Set_Oinsert @t21 (tptp.c_Set_Oinsert @t20 @t19 @t1) @t1)))) % 76.01/76.27 (assume @p5 (forall @t24 (tptp.c_Relation_Osingle__valued @t23 @t1 @t1))) % 76.01/76.27 (assume @p6 (forall (@list @t25 @t1 @t12 @t26) (= (tptp.hAPP (tptp.c_COMBK @t25 @t1 @t12) @t26) @t25))) % 76.01/76.27 (assume @p7 (forall (@list @t1 @t12) (= (tptp.c_Relation_ODomain @t27 @t1 @t12) @t19))) % 76.01/76.27 (assume @p8 (forall (@list @t25 @t32 @t28 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t32)) (not (tptp.hBOOL (tptp.hAPP @t25 @t31))) @t30))) % 76.01/76.27 (assume @p9 (forall @t35 (= (tptp.c_Relation_OImage @t28 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t15) @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t33 @t2)))) % 76.01/76.27 (assume @p10 (forall (@list @t28 @t36 @t12 @t1 @t6) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t36 @t38) @t6 @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 (tptp.c_Relation_OImage @t36 @t6 @t12 @t1) @t2)))) % 76.01/76.27 (assume @p11 (forall (@list @t39 @t45 @t1 @t12 @t41 @t17 @t44) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t39 @t45 @t1 @t12 @t41) @t48 @t47) (not (tptp.c_lessequals @t45 @t44 @t43)) @t40))) % 76.01/76.27 (assume @p12 (forall @t50 (or @t49 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t21 @t1) @t21)))) % 76.01/76.27 (assume @p13 (forall @t51 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t6 @t2) @t6))) % 76.01/76.27 (assume @p14 (forall @t58 (or @t57 @t53))) % 76.01/76.27 (assume @p15 (forall @t51 (tptp.c_lessequals @t59 @t56 @t55))) % 76.01/76.27 (assume @p16 (forall @t65 (or @t64 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t63 @t21 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t21 @t1) @t1))))) % 76.01/76.27 (assume @p17 (forall @t70 (or @t64 (= @t69 @t68)))) % 76.01/76.27 (assume @p18 (forall @t11 (= @t73 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t71 @t2)))) % 76.01/76.27 (assume @p19 (forall @t76 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t6 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t74 @t2)))) % 76.01/76.27 (assume @p20 (forall (@list @t79 @t77 @t1) (or @t80 (not (tptp.c_in @t79 @t78 @t1))))) % 76.01/76.27 (assume @p21 (forall @t85 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t83 @t81 @t2) @t3 @t1 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t84 @t82 @t14)))) % 76.01/76.27 (assume @p22 (forall @t88 (or (tptp.c_lessequals @t87 @t44 @t55) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t87 @t44 @t55) @t17 @t1 @t1 @t1) @t44 @t55)) @t86))) % 76.01/76.27 (assume @p23 (forall (@list @t6 @t4 @t12 @t3 @t1 @t21) (or @t94 (not @t93) @t89))) % 76.01/76.27 (assume @p24 (forall @t95 (or @t93 (not @t94) @t89))) % 76.01/76.27 (assume @p25 (forall @t100 (or @t99 @t98))) % 76.01/76.27 (assume @p26 (forall (@list @t6 @t79 @t4 @t1) (or (tptp.c_lessequals @t6 @t102 @t2) @t101))) % 76.01/76.27 (assume @p27 (forall @t107 (or @t106 (not (tptp.hBOOL (tptp.hAPP @t25 @t105))) @t104))) % 76.01/76.27 (assume @p28 (forall @t113 (tptp.c_lessequals @t112 @t109 @t55))) % 76.01/76.27 (assume @p29 (forall @t115 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t3 @t2) (tptp.c_Set_Oinsert @t77 @t5 @t1)))) % 76.01/76.27 (assume @p30 (forall @t116 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t114 @t2) (tptp.c_Set_Oinsert @t77 @t8 @t1)))) % 76.01/76.27 (assume @p31 (forall (@list @t1 @t41 @t28 @t12) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t47) @t28 @t1 @t41 @t12) @t27))) % 76.01/76.27 (assume @p32 (forall (@list @t28 @t41 @t12 @t1) (= (tptp.c_Relation_Orel__comp @t28 (tptp.c_Orderings_Obot__class_Obot @t118) @t1 @t41 @t12) @t27))) % 76.01/76.27 (assume @p33 (forall @t119 (tptp.c_lessequals @t19 @t6 @t2))) % 76.01/76.27 (assume @p34 (forall @t121 (tptp.c_lessequals @t120 @t4 @t55))) % 76.01/76.27 (assume @p35 (forall @t50 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t122 @t21 @t1)))) % 76.01/76.27 (assume @p36 (forall @t124 (not (= @t123 @t19)))) % 76.01/76.27 (assume @p37 (forall (@list @t77 @t6 @t1 @t4) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t114 @t2) @t125))) % 76.01/76.27 (assume @p38 (forall @t127 (= (tptp.c_Relation_OImage @t28 @t126 @t12 @t1) @t19))) % 76.01/76.27 (assume @p39 (forall @t132 (or (tptp.c_Relation_Osym @t131 @t1) @t130 @t129))) % 76.01/76.27 (assume @p40 (forall @t88 (or @t135 @t86))) % 76.01/76.27 (assume @p41 (forall @t138 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t14) @t1 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t136 @t2) @t2))) % 76.01/76.27 (assume @p42 (forall @t50 (or @t139 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t122 @t1) @t122)))) % 76.01/76.27 (assume @p43 (forall @t50 (or @t139 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t21 @t1) @t122)))) % 76.01/76.27 (assume @p44 (forall @t121 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t4 @t2) @t19))) % 76.01/76.27 (assume @p45 (forall @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t19 @t2) @t19))) % 76.01/76.27 (assume @p46 (forall (@list @t4 @t77 @t1) (tptp.c_lessequals @t4 @t114 @t2))) % 76.01/76.27 (assume @p47 (forall @t35 (tptp.c_lessequals @t141 @t140 @t2))) % 76.01/76.27 (assume @p48 (forall @t9 (or (not @t143) @t142))) % 76.01/76.27 (assume @p49 (forall @t9 (or @t143 @t144))) % 76.01/76.27 (assume @p50 (forall (@list @t17 @t44 @t1 @t12 @t41 @t6 @t3 @t4) (or (tptp.c_lessequals @t48 (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t3 @t145 @t1) @t1 @t41) @t47) (not (tptp.c_lessequals @t44 (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t3 @t145 @t12) @t12 @t41) @t43)) @t18))) % 76.01/76.27 (assume @p51 (forall @t147 (or @t146 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t28 @t36 @t1 @t1 @t1) @t28 @t55)) (not (tptp.c_Wellfounded_Owf @t36 @t1)) @t30))) % 76.01/76.27 (assume @p52 (forall @t152 (or @t151 @t149 (not @t148)))) % 76.01/76.27 (assume @p53 (forall @t100 (or @t148 @t153))) % 76.01/76.27 (assume @p54 (forall @t100 (or @t148 @t154))) % 76.01/76.27 (assume @p55 (forall @t88 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t155 (tptp.c_Relation_ORange @t44 @t1 @t1) @t2) @t19)) (not (tptp.c_Wellfounded_Owf @t44 @t1)) @t104 (tptp.c_Wellfounded_Owf @t131 @t1)))) % 76.01/76.27 (assume @p56 (forall @t159 (= (tptp.c_Product__Type_OSigma @t72 @t156 @t1 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t157 @t14)))) % 76.01/76.27 (assume @p57 (forall (@list @t17 @t44 @t1 @t12 @t41) (or (tptp.c_Relation_Osingle__valued @t48 @t1 @t41) (not (tptp.c_Relation_Osingle__valued @t44 @t12 @t41)) @t161))) % 76.01/76.27 (assume @p58 (forall @t163 (or (tptp.c_Relation_Orefl__on @t8 @t131 @t1) @t162 @t53))) % 76.01/76.27 (assume @p59 (forall @t70 (or @t167 @t166))) % 76.01/76.27 (assume @p60 (forall @t70 (or @t167 @t168))) % 76.01/76.27 (assume @p61 (forall @t70 (or @t169 @t168))) % 76.01/76.27 (assume @p62 (forall @t70 (or @t169 @t166))) % 76.01/76.27 (assume @p63 (forall @t9 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t72 @t3 @t2) @t171))) % 76.01/76.27 (assume @p64 (forall @t11 (= @t171 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t71 @t2)))) % 76.01/76.27 (assume @p65 (forall @t50 (or @t139 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t122 @t1) @t21)))) % 76.01/76.27 (assume @p66 (forall @t50 (or @t139 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t21 @t1) @t21)))) % 76.01/76.27 (assume @p67 (forall @t121 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t4 @t2) @t4))) % 76.01/76.27 (assume @p68 (forall @t51 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t19 @t2) @t6))) % 76.01/76.27 (assume @p69 (forall (@list @t77 @t6 @t1 @t79 @t4 @t12) (= (tptp.c_Product__Type_OSigma @t123 @t172 @t1 @t12) (tptp.c_Set_Oinsert @t173 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t6 @t172 @t1 @t12) (tptp.c_Product__Type_OSigma @t123 @t16 @t1 @t12) @t14) @t13)))) % 76.01/76.27 (assume @p70 (forall (@list @t6 @t1 @t28) (or @t174 (not (tptp.c_lessequals @t6 (tptp.c_Relation_OImage @t28 @t6 @t1 @t1) @t2)) @t30))) % 76.01/76.27 (assume @p71 (forall @t50 (not (tptp.hBOOL (tptp.hAPP @t19 @t21))))) % 76.01/76.27 (assume @p72 (forall @t179 (or @t178 @t176 (not (= @t72 @t19))))) % 76.01/76.27 (assume @p73 (forall @t70 (or @t167 (tptp.c_lessequals @t183 @t182 @t1)))) % 76.01/76.27 (assume @p74 (forall @t184 (or @t167 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t67 @t1) @t21)))) % 76.01/76.27 (assume @p75 (forall @t76 (or (not (= (tptp.c_Relation_Orel__comp @t4 @t3 @t1 @t1 @t1) @t120)) @t185 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t55) @t3 @t1 @t1 @t1) @t120)))) % 76.01/76.27 (assume @p76 (forall @t186 (or @t185 (not (= (tptp.c_Relation_Orel__comp @t6 @t4 @t1 @t1 @t1) @t120)) (= (tptp.c_Relation_Orel__comp @t6 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t55) @t1 @t1 @t1) @t120)))) % 76.01/76.27 (assume @p77 (forall (@list @t25 @t188 @t17 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t188)) (not (tptp.hBOOL (tptp.hAPP @t25 @t187))) @t104))) % 76.01/76.27 (assume @p78 (forall @t191 (or @t190 @t189 @t101))) % 76.01/76.27 (assume @p79 (forall @t184 (or @t197 @t196 @t195 @t193))) % 76.01/76.27 (assume @p80 (forall @t184 (or @t197 @t196 @t193 @t195))) % 76.01/76.27 (assume @p81 (forall @t184 (or @t167 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t181 @t1) @t21)))) % 76.01/76.27 (assume @p82 (forall @t184 (or @t49 (= @t181 @t21) @t195))) % 76.01/76.27 (assume @p83 (forall @t184 (or @t49 (not @t198) @t192))) % 76.01/76.27 (assume @p84 (forall @t184 (or @t49 @t198 @t193))) % 76.01/76.27 (assume @p85 (forall @t191 (or @t199 @t101))) % 76.01/76.27 (assume @p86 (forall @t191 (or (= @t8 @t6) @t189))) % 76.01/76.27 (assume @p87 (forall @t191 (or (not @t199) @t99))) % 76.01/76.27 (assume @p88 (forall @t163 (or (tptp.c_Relation_Orefl__on @t72 @t200 @t1) @t162 @t53))) % 76.01/76.27 (assume @p89 (forall @t70 (or @t49 @t202))) % 76.01/76.27 (assume @p90 (forall @t70 (or @t49 @t203))) % 76.01/76.27 (assume @p91 (forall @t70 (or @t167 @t203))) % 76.01/76.27 (assume @p92 (forall @t70 (or @t167 @t202))) % 76.01/76.27 (assume @p93 (forall @t191 (or (= @t72 @t6) @t101))) % 76.01/76.27 (assume @p94 (forall @t191 (or (= @t72 @t4) @t189))) % 76.01/76.27 (assume @p95 (forall @t184 (or @t169 @t204 @t193))) % 76.01/76.27 (assume @p96 (forall @t184 (or @t169 (not @t204) @t192))) % 76.01/76.27 (assume @p97 (forall @t184 (or @t169 (= @t67 @t61) @t195))) % 76.01/76.27 (assume @p98 (forall @t9 (or @t209 @t208 @t206))) % 76.01/76.27 (assume @p99 (forall (@list @t4 @t6 @t1) (tptp.c_lessequals @t4 @t8 @t2))) % 76.01/76.27 (assume @p100 (forall @t191 (tptp.c_lessequals @t6 @t8 @t2))) % 76.01/76.27 (assume @p101 (forall @t216 (or @t49 @t215 @t213 @t211))) % 76.01/76.27 (assume @p102 (forall @t184 (or @t49 @t217))) % 76.01/76.27 (assume @p103 (forall @t219 (or @t49 @t218))) % 76.01/76.27 (assume @p104 (forall @t65 (or @t49 (tptp.c_lessequals @t63 @t21 @t1) (not @t220) @t195))) % 76.01/76.27 (assume @p105 (forall @t70 (or @t49 @t225 @t224 @t222))) % 76.01/76.27 (assume @p106 (forall @t219 (or @t167 @t218))) % 76.01/76.27 (assume @p107 (forall @t184 (or @t167 @t217))) % 76.01/76.27 (assume @p108 (forall @t191 (= @t72 @t75))) % 76.01/76.27 (assume @p109 (forall @t184 (or @t169 @t226))) % 76.01/76.27 (assume @p110 (forall @t184 (or @t167 @t226))) % 76.01/76.27 (assume @p111 (forall @t228 (or @t227 @t104))) % 76.01/76.27 (assume @p112 (forall @t70 (or @t167 (tptp.c_lessequals @t68 @t69 @t1)))) % 76.01/76.27 (assume @p113 (forall (@list @t36 @t1 @t28) (or (= @t110 @t111) (not (tptp.c_lessequals @t36 @t111 @t55)) (not (tptp.c_lessequals @t28 @t36 @t55))))) % 76.01/76.27 (assume @p114 (forall (@list @t77 @t1 @t79) (or (not (= @t78 @t230)) @t229))) % 76.01/76.27 (assume @p115 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t170 @t2) @t74 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t5 @t2) @t231 @t2)))) % 76.01/76.27 (assume @p116 (forall @t24 (= (tptp.c_Relation_OId__on @t19 @t1) @t120))) % 76.01/76.27 (assume @p117 (forall @t235 (= (tptp.c_Relation_OField (tptp.c_Set_Oinsert @t234 @t17 @t54) @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t233 @t232 @t2)))) % 76.01/76.27 (assume @p118 (forall (@list @t21 @t20 @t1) (or (not (= (tptp.c_Set_Oinsert @t21 @t20 @t1) @t19)) (tptp.c_in @t21 @t20 @t1)))) % 76.01/76.27 (assume @p119 (forall @t24 (tptp.c_Wellfounded_Owf @t120 @t1))) % 76.01/76.27 (assume @p120 (forall @t179 (or @t177 @t98))) % 76.01/76.27 (assume @p121 (forall @t85 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t83 @t81 @t2) @t3 @t1 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t84 @t82 @t14)))) % 76.01/76.27 (assume @p122 (forall @t238 (or @t237 @t101 @t175))) % 76.01/76.27 (assume @p123 (forall @t100 (or @t99 @t175 @t239))) % 76.01/76.27 (assume @p124 (forall @t100 (or @t99 @t239 @t175))) % 76.01/76.27 (assume @p125 (forall @t116 (or (= @t241 @t72) @t240))) % 76.01/76.27 (assume @p126 (forall @t115 (or (= @t243 @t170) @t242))) % 76.01/76.27 (assume @p127 (forall @t191 (or @t244 (= @t4 @t19)))) % 76.01/76.27 (assume @p128 (forall @t191 (or @t244 @t174))) % 76.01/76.27 (assume @p129 (forall @t246 (or @t139 @t245 (= @t6 @t122)))) % 76.01/76.27 (assume @p130 (forall @t246 (or @t139 @t245 (= @t4 @t122)))) % 76.01/76.27 (assume @p131 (forall (@list @t36 @t247 @t1 @t41 @t28 @t12) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t247 @t47) @t28 @t1 @t41 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t36 @t28 @t1 @t41 @t12) (tptp.c_Relation_Orel__comp @t247 @t28 @t1 @t41 @t12) @t14)))) % 76.01/76.27 (assume @p132 (forall (@list @t28 @t36 @t247 @t41 @t12 @t1) (= (tptp.c_Relation_Orel__comp @t28 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t247 @t118) @t1 @t41 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t28 @t36 @t1 @t41 @t12) (tptp.c_Relation_Orel__comp @t28 @t247 @t1 @t41 @t12) @t14)))) % 76.01/76.27 (assume @p133 (forall @t132 (= (tptp.c_Relation_OField @t131 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t232 @t248 @t2)))) % 76.01/76.27 (assume @p134 (forall (@list @t3 @t4 @t1 @t6) (or @t251 @t250))) % 76.01/76.27 (assume @p135 (forall (@list @t3 @t6 @t1 @t4) (or @t142 @t250))) % 76.01/76.27 (assume @p136 (forall @t256 (or @t169 @t255 @t254))) % 76.01/76.27 (assume @p137 (forall (@list @t1 @t21 @t79 @t77) (or @t169 @t257 @t254))) % 76.01/76.27 (assume @p138 (forall @t216 (or @t169 @t258 @t211))) % 76.01/76.27 (assume @p139 (forall @t216 (or @t169 @t258 @t213))) % 76.01/76.27 (assume @p140 (forall @t70 (or @t169 @t192 @t260))) % 76.01/76.27 (assume @p141 (forall @t261 (or @t169 @t221 @t260))) % 76.01/76.27 (assume @p142 (= (tptp.c_Relation_OField tptp.v_r tptp.t_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain tptp.v_r tptp.t_a tptp.t_a) (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)))) % 76.01/76.27 (assume @p143 (forall @t191 (= @t8 @t262))) % 76.01/76.27 (assume @p144 (forall @t184 (or @t49 @t264))) % 76.01/76.27 (assume @p145 (forall @t184 (or @t167 @t264))) % 76.01/76.27 (assume @p146 (forall @t138 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t14) @t1 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t136 @t2)))) % 76.01/76.27 (assume @p147 (forall @t124 (= @t123 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t78 @t6 @t2)))) % 76.01/76.27 (assume @p148 (forall (@list @t1 @t4 @t12) (= (tptp.c_Product__Type_OSigma @t19 @t4 @t1 @t12) @t27))) % 76.01/76.27 (assume @p149 (forall (@list @t265 @t1 @t266) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t265 @t1) (tptp.c_Wellfounded_Oacc @t266 @t1) @t2) (not (tptp.c_lessequals @t266 @t265 @t55))))) % 76.01/76.27 (assume @p150 (forall @t191 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t8 @t2) @t8))) % 76.01/76.27 (assume @p151 (forall @t184 (or @t49 @t267))) % 76.01/76.27 (assume @p152 (forall @t184 (or @t167 @t267))) % 76.01/76.27 (assume @p153 (forall (@list @t17 @t1 @t12) (or (not (= @t268 @t19)) (= @t17 @t27)))) % 76.01/76.27 (assume @p154 (forall @t271 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t38) @t12 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t270 @t269 @t2) @t2))) % 76.01/76.27 (assume @p155 (forall @t107 (or @t106 (not (tptp.hBOOL (tptp.hAPP @t25 @t272))) @t104))) % 76.01/76.27 (assume @p156 (forall @t24 (= (tptp.c_Relation_OField @t120 @t1) @t19))) % 76.01/76.27 (assume @p157 (forall @t113 (= (tptp.c_Transitive__Closure_Ortrancl @t112 @t1) @t109))) % 76.01/76.27 (assume @p158 (forall @t152 (or @t151 @t274))) % 76.01/76.27 (assume @p159 (forall @t238 (or @t149 @t274))) % 76.01/76.27 (assume @p160 (forall @t132 (or (tptp.c_Relation_Osym @t200 @t1) @t130 @t129))) % 76.01/76.27 (assume @p161 (forall (@list @t276 @t275 @t17 @t21 @t1 @t12) (or (not (= (tptp.hAPP @t276 @t278) (tptp.hAPP @t275 @t278))) @t277))) % 76.01/76.27 (assume @p162 (forall @t51 (tptp.c_Relation_Osingle__valued @t59 @t1 @t1))) % 76.01/76.27 (assume @p163 (forall @t283 (or @t227 @t282))) % 76.01/76.27 (assume @p164 (forall (@list @t12 @t276 @t21 @t275 @t1) (or (not (tptp.class_HOL_Oord @t12)) (tptp.c_lessequals @t286 @t285 @t12) (not (tptp.c_lessequals @t276 @t275 @t284))))) % 76.01/76.27 (assume @p165 (forall @t293 (or @t292 @t291 @t289))) % 76.01/76.27 (assume @p166 (forall (@list @t294 @t4 @t1 @t6) (or (tptp.c_in @t294 @t4 @t1) (not (tptp.c_in @t294 @t6 @t1)) @t101))) % 76.01/76.27 (assume @p167 (forall @t179 (or @t177 @t101 @t176))) % 76.01/76.27 (assume @p168 (forall @t295 (or @t290 @t289 @t101))) % 76.01/76.27 (assume @p169 (forall @t179 (or @t177 @t176 @t101))) % 76.01/76.27 (assume @p170 (forall @t293 (or @t296 @t289))) % 76.01/76.27 (assume @p171 (forall @t293 (or @t296 @t291))) % 76.01/76.27 (assume @p172 (forall @t298 @t297)) % 76.01/76.27 (assume @p173 (forall @t300 (or @t299 @t297))) % 76.01/76.27 (assume @p174 (forall (@list @t287 @t1) (not (tptp.c_in @t287 @t19 @t1)))) % 76.01/76.27 (assume @p175 (forall @t301 (not (tptp.c_in @t77 @t19 @t1)))) % 76.01/76.27 (assume @p176 (forall @t295 (or @t290 @t288 (not @t296)))) % 76.01/76.27 (assume @p177 (forall @t295 (or @t290 @t302))) % 76.01/76.27 (assume @p178 (forall (@list @t287 @t6 @t1 @t4) (or @t288 @t302))) % 76.01/76.27 (assume @p179 (forall @t300 (or @t303 @t297))) % 76.01/76.27 (assume @p180 (forall @t307 (= (tptp.hAPP @t304 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t44 @t38)) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t306 @t305 @t14)))) % 76.01/76.27 (assume @p181 (forall @t312 (or @t311 @t308))) % 76.01/76.27 (assume @p182 (forall @t228 (or @t227 (not @t311)))) % 76.01/76.27 (assume @p183 (forall @t312 (= (tptp.c_Relation_OField @t310 @t1) @t232))) % 76.01/76.27 (assume @p184 (forall @t307 (= (tptp.hAPP @t304 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t44 @t38)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t305 @t14)))) % 76.01/76.27 (assume @p185 (forall @t321 (or @t320 @t318 @t315 @t176 @t313))) % 76.01/76.27 (assume @p186 (forall @t24 (tptp.c_Relation_Oantisym @t120 @t1))) % 76.01/76.27 (assume @p187 (forall (@list @t12 @t1) (= (tptp.c_Relation_ORange @t322 @t12 @t1) @t19))) % 76.01/76.27 (assume @p188 (forall @t327 (or @t326 @t325 @t323))) % 76.01/76.27 (assume @p189 (forall @t327 (or @t326 @t328 @t323))) % 76.01/76.27 (assume @p190 (forall @t327 (or @t326 @t325 @t329))) % 76.01/76.27 (assume @p191 (forall @t327 (or @t326 @t328 @t329))) % 76.01/76.27 (assume @p192 (forall @t331 (or (tptp.c_lessequals @t87 @t56 @t55) @t330))) % 76.01/76.27 (assume @p193 (forall @t88 (or @t135 (not (tptp.c_lessequals @t17 @t133 @t55))))) % 76.01/76.27 (assume @p194 (forall @t51 (or @t174 (not (tptp.c_lessequals @t6 @t19 @t2))))) % 76.01/76.27 (assume @p195 (forall @t24 (tptp.c_lessequals @t19 @t19 @t2))) % 76.01/76.27 (assume @p196 (forall (@list @t1 @t77 @t6) (not (= @t19 @t123)))) % 76.01/76.27 (assume @p197 (forall @t24 (tptp.c_Relation_Orefl__on @t19 @t120 @t1))) % 76.01/76.27 (assume @p198 (forall @t115 (or (= @t243 (tptp.c_Set_Oinsert @t77 @t170 @t1)) (not @t242)))) % 76.01/76.27 (assume @p199 (forall @t116 (or (= @t241 @t125) @t332))) % 76.01/76.27 (assume @p200 (forall @t312 (tptp.c_Relation_Ototal__on @t19 @t17 @t1))) % 76.01/76.27 (assume @p201 (forall @t335 (or (tptp.c_lessequals @t8 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t333 @t2) @t2) @t334 @t206))) % 76.01/76.27 (assume @p202 (forall @t184 (or @t167 @t336))) % 76.01/76.27 (assume @p203 (forall @t184 (or @t167 @t337))) % 76.01/76.27 (assume @p204 (forall @t70 (or @t169 @t259 @t222 @t193))) % 76.01/76.27 (assume @p205 (forall @t256 (or @t169 @t253 @t339 @t338))) % 76.01/76.27 (assume @p206 (forall @t184 (or @t169 @t337))) % 76.01/76.27 (assume @p207 (forall @t184 (or @t169 @t336))) % 76.01/76.27 (assume @p208 (forall @t191 (tptp.c_lessequals @t72 @t6 @t2))) % 76.01/76.27 (assume @p209 (forall @t191 (tptp.c_lessequals @t72 @t4 @t2))) % 76.01/76.27 (assume @p210 (forall (@list @t3 @t6 @t4 @t1) (or @t249 (not @t251) @t144))) % 76.01/76.27 (assume @p211 (forall @t159 (= (tptp.c_Product__Type_OSigma @t8 @t156 @t1 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t157 @t14)))) % 76.01/76.27 (assume @p212 (forall @t65 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t164 @t21 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t263 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t21 @t1) @t1))))) % 76.01/76.27 (assume @p213 (forall @t70 (or @t64 (= @t183 @t182)))) % 76.01/76.27 (assume @p214 (forall @t11 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t170 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t10 @t2)))) % 76.01/76.27 (assume @p215 (forall @t76 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t6 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t262 @t231 @t2)))) % 76.01/76.27 (assume @p216 (forall @t340 (or @t97 @t101 @t178))) % 76.01/76.27 (assume @p217 (forall @t184 (or @t167 @t341))) % 76.01/76.27 (assume @p218 (forall @t184 (or @t169 @t341))) % 76.01/76.27 (assume @p219 (forall @t191 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t72 @t2) @t72))) % 76.01/76.27 (assume @p220 (forall @t88 (or (tptp.c_lessequals @t232 @t248 @t2) @t86))) % 76.01/76.27 (assume @p221 (forall @t35 (or (= @t141 @t140) (not (tptp.c_Relation_Osingle__valued (tptp.hAPP @t304 @t28) @t1 @t12))))) % 76.01/76.27 (assume @p222 (forall @t271 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t38) @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t270 @t269 @t2)))) % 76.01/76.27 (assume @p223 (forall (@list @t17 @t39 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t39 @t55) @t1) @t104))) % 76.01/76.27 (assume @p224 (forall (@list @t39 @t17 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t17 @t55) @t1) @t104))) % 76.01/76.27 (assume @p225 (forall @t50 (or @t169 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t21 @t1) @t21)))) % 76.01/76.27 (assume @p226 (forall @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t6 @t2) @t6))) % 76.01/76.27 (assume @p227 (forall @t228 (= @t232 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t155 @t342 @t2)))) % 76.01/76.27 (assume @p228 (forall @t65 (or @t49 @t223 @t343))) % 76.01/76.27 (assume @p229 (forall @t261 (or @t49 @t221 @t343))) % 76.01/76.27 (assume @p230 (forall @t256 (or @t49 @t344 @t339))) % 76.01/76.27 (assume @p231 (forall @t256 (or @t49 @t344 @t338))) % 76.01/76.27 (assume @p232 (forall (@list @t1 @t79 @t21 @t77) (or @t49 @t212 @t345))) % 76.01/76.27 (assume @p233 (forall (@list @t1 @t77 @t21 @t79) (or @t49 @t210 @t345))) % 76.01/76.27 (assume @p234 (forall @t186 (or @t205 @t346))) % 76.01/76.27 (assume @p235 (forall @t76 (or @t207 @t346))) % 76.01/76.27 (assume @p236 (forall (@list @t1 @t60 @t21 @t61) (or @t197 @t220 (not (tptp.c_lessequals @t60 @t61 @t1)) @t195))) % 76.01/76.27 (assume @p237 (forall @t261 (or @t347 @t221 @t224 @t193))) % 76.01/76.27 (assume @p238 (forall @t298 (tptp.c_lessequals @t21 @t21 @t2))) % 76.01/76.27 (assume @p239 (forall @t51 (tptp.c_lessequals @t6 @t6 @t2))) % 76.01/76.27 (assume @p240 (forall @t186 (or @t205 @t208 @t101))) % 76.01/76.27 (assume @p241 (forall @t350 (or @t349 @t303 @t348))) % 76.01/76.27 (assume @p242 (forall (@list @t351 @t1 @t17) (or (tptp.c_Wellfounded_Owf @t351 @t1) (not (tptp.c_lessequals @t351 @t17 @t55)) @t104))) % 76.01/76.27 (assume @p243 (forall @t50 (or @t197 @t352))) % 76.01/76.27 (assume @p244 (forall @t50 (or @t347 @t352))) % 76.01/76.27 (assume @p245 (forall @t88 (or @t353 (not (tptp.c_Relation_Oantisym @t44 @t1)) @t86))) % 76.01/76.27 (assume @p246 (forall @t350 (or @t349 @t348 @t303))) % 76.01/76.27 (assume @p247 (forall @t88 (or @t227 @t86 (not (tptp.c_Wellfounded_Oacyclic @t44 @t1))))) % 76.01/76.27 (assume @p248 (forall @t355 (or @t160 (not (tptp.c_Relation_Osingle__valued @t44 @t1 @t12)) @t354))) % 76.01/76.27 (assume @p249 (forall @t335 (or (tptp.c_lessequals @t72 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t333 @t2) @t2) @t334 @t206))) % 76.01/76.27 (assume @p250 (forall @t298 (tptp.c_in @t21 @t22 @t1))) % 76.01/76.27 (assume @p251 (forall @t228 (tptp.c_lessequals @t87 (tptp.c_Product__Type_OSigma @t232 (tptp.c_COMBK @t232 @t2 @t1) @t1 @t1) @t55))) % 76.01/76.27 (assume @p252 (forall @t355 (or (tptp.c_lessequals @t268 (tptp.c_Relation_ODomain @t44 @t1 @t12) @t2) @t354))) % 76.01/76.27 (assume @p253 (forall (@list @t6 @t21 @t1) (or (= @t6 @t22) @t174 (not (tptp.c_lessequals @t6 @t22 @t2))))) % 76.01/76.27 (assume @p254 (forall (@list @t6 @t12 @t1) (= (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t126 @t15 @t1) @t1 @t12) @t27))) % 76.01/76.27 (assume @p255 (forall @t100 (or @t273 @t153 @t154))) % 76.01/76.27 (assume @p256 (forall (@list @t77 @t3 @t1 @t333) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t77 @t3 @t1) (tptp.c_Set_Oinsert @t77 @t333 @t1) @t2) (not (tptp.c_lessequals @t3 @t333 @t2))))) % 76.01/76.27 (assume @p257 (forall @t24 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t19 @t2) @t19))) % 76.01/76.27 (assume @p258 (forall @t24 (= (tptp.c_Transitive__Closure_Otrancl @t120 @t1) @t120))) % 76.01/76.27 (assume @p259 (forall @t357 (or (not (= @t356 @t19)) (= @t17 @t322)))) % 76.01/76.27 (assume @p260 (forall (@list @t39 @t358 @t1 @t12 @t17 @t6) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t39 @t358 @t1 @t12) @t359 @t15) (not (tptp.c_lessequals @t358 @t6 @t2)) @t40))) % 76.01/76.27 (assume @p261 (forall @t58 (or @t57 @t313))) % 76.01/76.27 (assume @p262 (forall @t219 (or (not (tptp.class_Orderings_Olinorder @t1)) @t194 @t192))) % 76.01/76.27 (assume @p263 (forall @t366 (or @t106 (tptp.c_in (tptp.c_Pair @t365 @t364 @t1 @t1) @t17 @t54) @t363 @t361))) % 76.01/76.27 (assume @p264 (forall @t370 (or @t362 (tptp.c_in (tptp.c_Pair @t369 @t368 @t1 @t1) @t17 @t54) @t367 @t361))) % 76.01/76.27 (assume @p265 (forall @t88 (or (tptp.c_lessequals @t134 @t44 @t55) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t134 @t44 @t55) @t17 @t1 @t1 @t1) @t44 @t55)) (not (tptp.c_lessequals @t23 @t44 @t55))))) % 76.01/76.27 (assume @p266 (forall (@list @t61 @t60 @t21 @t1 @t12 @t17) (or @t371 (not (tptp.c_in (tptp.c_Pair @t21 @t60 @t1 @t12) @t17 @t13)) (not (tptp.c_in (tptp.c_Pair @t21 @t61 @t1 @t12) @t17 @t13)) @t161))) % 76.01/76.27 (assume @p267 (forall @t95 (or (not (= @t92 @t91)) @t89 @t190))) % 76.01/76.27 (assume @p268 (forall @t373 (or @t372 (not (tptp.c_in @t21 @t111 @t54))))) % 76.01/76.27 (assume @p269 (forall @t373 (or @t372 (not (tptp.c_in @t21 @t110 @t54))))) % 76.01/76.27 (assume @p270 (forall (@list @t351 @t44 @t1 @t17) (or (tptp.c_in @t351 (tptp.c_Transitive__Closure_Otrancl @t44 @t1) @t54) @t86 (not @t374)))) % 76.01/76.27 (assume @p271 (forall @t113 (or @t376 (not @t146)))) % 76.01/76.27 (assume @p272 (forall @t147 (or @t146 (not @t376)))) % 76.01/76.27 (assume @p273 (forall @t377 (or (not (= @t375 @t120)) @t29))) % 76.01/76.27 (assume @p274 (forall @t228 (= @t87 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 (tptp.c_Relation_Orel__comp @t87 @t17 @t1 @t1 @t1) @t55)))) % 76.01/76.27 (assume @p275 (forall @t377 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t111 @t23 @t55) @t111))) % 76.01/76.27 (assume @p276 (forall @t377 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t23 @t55) @t1) @t111))) % 76.01/76.27 (assume @p277 (forall @t24 (= (tptp.c_Transitive__Closure_Ortrancl @t120 @t1) @t23))) % 76.01/76.27 (assume @p278 (forall @t228 (or (tptp.c_Relation_Oantisym @t134 @t1) @t308))) % 76.01/76.27 (assume @p279 (forall @t228 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t310 @t55) @t1))) % 76.01/76.27 (assume @p280 (forall @t228 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t310 @t55) @t1))) % 76.01/76.27 (assume @p281 (forall (@list @t6 @t1 @t4) (= (tptp.c_Relation_OImage @t59 @t4 @t1 @t1) @t72))) % 76.01/76.27 (assume @p282 (forall @t228 (or @t353 (not @t379)))) % 76.01/76.27 (assume @p283 (forall @t228 (or @t379 @t380))) % 76.01/76.27 (assume @p284 (forall @t321 (or (not @t320) @t315 @t176 @t313 @t317))) % 76.01/76.27 (assume @p285 (forall (@list @t77 @t6 @t1 @t79 @t17) (or @t240 @t229 @t330 @t361))) % 76.01/76.27 (assume @p286 (forall @t385 (or (tptp.c_lessequals @t384 @t383 @t2) @t382 @t313))) % 76.01/76.27 (assume @p287 (forall (@list @t1 @t17 @t21) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t310 @t134 @t55) @t120)) @t387))) % 76.01/76.27 (assume @p288 (forall (@list @t17 @t77 @t1 @t79) (or @t389 (not (tptp.c_in @t79 @t232 @t1)) (not (tptp.c_in @t77 @t232 @t1)) @t380 (not (tptp.c_Relation_Orefl__on @t232 @t17 @t1)) @t229))) % 76.01/76.27 (assume @p289 (forall @t395 (or @t394 (not (tptp.c_in @t393 (tptp.hAPP @t391 @t392) @t390))))) % 76.01/76.27 (assume @p290 (forall @t397 (or @t394 (tptp.c_in @t393 (tptp.hAPP @t392 @t396) @t390)))) % 76.01/76.27 (assume @p291 (forall (@list @t6 @t4 @t287 @t1 @t12) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t6 @t4 @t287 @t1 @t12) @t6 @t1) (not (tptp.c_in @t287 @t398 @t13))))) % 76.01/76.27 (assume @p292 (forall @t400 (or (tptp.c_in (tptp.c_Pair @t399 @t79 @t1 @t1) @t17 @t54) @t229 @t361))) % 76.01/76.27 (assume @p293 (forall @t405 (or (tptp.c_in (tptp.c_Pair @t404 @t60 @t1 @t1) @t134 @t54) @t403 @t402))) % 76.01/76.27 (assume @p294 (forall @t406 (or (tptp.c_in (tptp.c_Pair @t21 @t404 @t1 @t1) @t17 @t54) @t403 @t402))) % 76.01/76.27 (assume @p295 (forall @t366 (or @t106 (tptp.hBOOL (tptp.hAPP @t25 @t364)) @t363 @t361))) % 76.01/76.27 (assume @p296 (forall @t366 (or @t106 (tptp.c_in (tptp.c_Pair @t364 @t79 @t1 @t1) @t134 @t54) @t363 @t361))) % 76.01/76.27 (assume @p297 (forall @t370 (or @t362 (tptp.c_in (tptp.c_Pair @t77 @t369 @t1 @t1) @t134 @t54) @t367 @t361))) % 76.01/76.27 (assume @p298 (forall @t370 (or @t362 (not (tptp.hBOOL (tptp.hAPP @t25 @t368))) @t367 @t361))) % 76.01/76.27 (assume @p299 (forall (@list @t60 @t61 @t1 @t17 @t21) (or (tptp.c_in (tptp.c_Pair @t60 @t61 @t1 @t1) @t134 @t54) (tptp.c_in @t409 @t134 @t54) @t402 @t408 (not (tptp.c_Relation_Osingle__valued @t17 @t1 @t1))))) % 76.01/76.27 (assume @p300 (forall @t418 (or (tptp.c_in (tptp.c_Pair @t413 @t417 tptp.t_a tptp.t_a) @t411 @t410) @t416 @t415))) % 76.01/76.27 (assume @p301 (forall @t370 (or @t362 (tptp.hBOOL (tptp.hAPP @t25 @t369)) @t367 @t361))) % 76.01/76.27 (assume @p302 (forall @t418 (or (tptp.c_in (tptp.c_Pair @t417 @t412 tptp.t_a tptp.t_a) @t17 @t410) @t416 @t415))) % 76.01/76.27 (assume @p303 (forall @t366 (or @t106 (not (tptp.hBOOL (tptp.hAPP @t25 @t365))) @t363 @t361))) % 76.01/76.27 (assume @p304 (forall @t400 (or (tptp.c_in (tptp.c_Pair @t77 @t399 @t1 @t1) @t134 @t54) @t229 @t361))) % 76.01/76.27 (assume @p305 (forall @t420 (or @t106 @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t272 @t1 @t1) @t17 @t54)) @t104))) % 76.01/76.27 (assume @p306 (forall (@list @t25 @t20 @t61 @t17 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t20)) @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t187 @t1 @t1) @t17 @t54)) @t104))) % 76.01/76.27 (assume @p307 (forall (@list @t25 @t421 @t61 @t28 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t421)) @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t31 @t1 @t1) @t28 @t54)) @t30))) % 76.01/76.27 (assume @p308 (forall @t420 (or @t106 @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t105 @t1 @t1) @t17 @t54)) @t104))) % 76.01/76.27 (assume @p309 (forall @t424 (or (not @t423) (tptp.c_in (tptp.c_Pair @t422 @t422 @t1 @t1) @t87 @t54)))) % 76.01/76.27 (assume @p310 (forall @t405 (or (tptp.c_in (tptp.c_Pair @t428 @t60 @t1 @t1) @t87 @t54) @t427 @t426))) % 76.01/76.27 (assume @p311 (forall @t418 (or (tptp.c_in (tptp.c_Pair @t413 @t432 tptp.t_a tptp.t_a) @t429 @t410) @t431 @t430))) % 76.01/76.27 (assume @p312 (forall @t424 (or @t387 @t308))) % 76.01/76.27 (assume @p313 (forall @t400 (or (tptp.c_in (tptp.c_Pair @t435 @t79 @t1 @t1) @t17 @t54) @t381 @t434))) % 76.01/76.27 (assume @p314 (forall @t400 (or (tptp.c_in (tptp.c_Pair @t77 @t435 @t1 @t1) @t87 @t54) @t381 @t434))) % 76.01/76.27 (assume @p315 (forall @t406 (or (tptp.c_in (tptp.c_Pair @t21 @t428 @t1 @t1) @t17 @t54) @t427 @t426))) % 76.01/76.27 (assume @p316 (forall @t418 (or (tptp.c_in (tptp.c_Pair @t432 @t412 tptp.t_a tptp.t_a) @t17 @t410) @t431 @t430))) % 76.01/76.27 (assume @p317 (forall (@list @t77 @t79 @t1 @t17 @t6) (or @t381 @t436 (not (tptp.c_lessequals @t383 @t384 @t2)) @t313))) % 76.01/76.27 (assume @p318 (forall (@list @t77 @t79 @t1 @t17 @t21 @t6) (or @t381 (not (tptp.c_in @t21 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t384 @t383 @t2) @t1)) @t313))) % 76.01/76.27 (assume @p319 (forall @t439 (or (tptp.c_in (tptp.c_Pair @t438 @t287 @t41 @t12) @t44 @t117) @t437))) % 76.01/76.27 (assume @p320 (forall @t439 (or (tptp.c_in (tptp.c_Pair @t77 @t438 @t1 @t41) @t17 @t46) @t437))) % 76.01/76.27 (assume @p321 (forall @t442 (or @t441 (tptp.c_in @t440 @t6 @t1)))) % 76.01/76.27 (assume @p322 (forall @t442 (or @t441 (tptp.c_in @t443 @t6 @t1)))) % 76.01/76.27 (assume @p323 (forall @t442 (or @t441 (not (tptp.c_in (tptp.hAPP @t276 @t440) (tptp.hAPP @t4 @t440) @t12))))) % 76.01/76.27 (assume @p324 (forall @t444 (or (tptp.c_in @t286 @t4 @t12) @t176 (not (tptp.c_in @t276 (tptp.c_FuncSet_OPi @t6 @t16 @t1 @t12) @t284))))) % 76.01/76.27 (assume @p325 (forall @t442 (or @t441 (not (tptp.c_in (tptp.hAPP @t276 @t443) (tptp.hAPP @t4 @t443) @t12))))) % 76.01/76.27 (assume @p326 (forall (@list @t351 @t1) (or (= @t351 (tptp.c_Pair @t445 @t445 @t1 @t1)) (not (tptp.c_in @t351 @t23 @t54))))) % 76.01/76.27 (assume @p327 (forall @t228 (or @t103 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t17 @t1) @t446 @t1))))) % 76.01/76.27 (assume @p328 (forall @t228 (or @t103 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t17 @t1) @t446 @t1))))) % 76.01/76.27 (assume @p329 (forall (@list @t6 @t287 @t1) (or (tptp.c_in @t448 @t6 @t1) @t447))) % 76.01/76.27 (assume @p330 (forall (@list @t287 @t6 @t1) (or (= @t287 (tptp.c_Pair @t448 @t448 @t1 @t1)) @t447))) % 76.01/76.27 (assume @p331 (forall (@list @t276 @t17 @t21 @t1 @t12 @t275) (or @t277 (tptp.c_in (tptp.c_Pair @t278 @t21 @t1 @t1) @t17 @t54)))) % 76.01/76.27 (assume @p332 (forall @t228 (= @t449 @t134))) % 76.01/76.27 (assume @p333 (forall @t228 (= (tptp.c_Transitive__Closure_Otrancl @t378 @t1) @t134))) % 76.01/76.27 (assume @p334 (forall @t228 (= @t134 @t449))) % 76.01/76.27 (assume @p335 (forall @t397 (or @t455 @t454 (not @t452)))) % 76.01/76.27 (assume @p336 (forall @t397 (or @t455 @t452 (not @t454)))) % 76.01/76.27 (assume @p337 (forall @t395 (or @t455 (not @t457) (not @t456)))) % 76.01/76.27 (assume @p338 (forall @t395 (or @t455 @t457 @t456))) % 76.01/76.27 (assume @p339 (forall @t228 (= @t134 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t458 @t55)))) % 76.01/76.27 (assume @p340 (forall @t331 (or (tptp.c_lessequals @t17 @t459 @t55) @t53))) % 76.01/76.27 (assume @p341 (forall @t460 (or @t408 @t282))) % 76.01/76.27 (assume @p342 (forall @t461 (or @t281 @t407 @t308))) % 76.01/76.27 (assume @p343 (forall (@list @t77 @t17 @t1 @t6) (or (tptp.c_in @t77 @t384 @t1) @t332 @t313))) % 76.01/76.27 (assume @p344 (forall @t465 (or @t464 (not @t462)))) % 76.01/76.27 (assume @p345 (forall (@list @t79 @t17 @t77 @t12 @t1) (or @t462 (not @t464)))) % 76.01/76.27 (assume @p346 (forall @t467 (or @t466 @t318 @t313))) % 76.01/76.27 (assume @p347 (forall @t385 (or @t388 @t382 @t313))) % 76.01/76.27 (assume @p348 (forall @t385 (or @t389 @t381 @t436 @t313))) % 76.01/76.27 (assume @p349 (forall @t467 (or @t468 @t313 @t317 @t315 @t176))) % 76.01/76.27 (assume @p350 (forall @t467 (or @t466 @t318 @t315 @t176 @t313))) % 76.01/76.27 (assume @p351 (forall @t467 (or @t468 @t315 @t176 @t313 @t317))) % 76.01/76.27 (assume @p352 (forall @t473 (or (tptp.c_in (tptp.c_Pair @t21 @t472 @t1 @t1) @t28 @t54) @t471))) % 76.01/76.27 (assume @p353 (forall @t475 (or (tptp.c_in (tptp.c_Pair @t474 @t61 @t1 @t1) @t28 @t54) @t471))) % 76.01/76.27 (assume @p354 (forall @t107 (or @t106 (tptp.c_in @t478 @t446 @t1) @t477))) % 76.01/76.27 (assume @p355 (forall @t481 (or @t480 (not (tptp.c_in @t479 @t446 @t1))))) % 76.01/76.27 (assume @p356 (forall @t485 (or @t299 (not (tptp.hBOOL (tptp.hAPP @t25 @t484))) @t483))) % 76.01/76.27 (assume @p357 (forall @t107 (or @t106 (not (tptp.hBOOL (tptp.hAPP @t25 @t486))) @t477))) % 76.01/76.27 (assume @p358 (forall @t490 (or (not (tptp.c_in @t489 @t487 @t1)) @t488))) % 76.01/76.27 (assume @p359 (forall @t107 (or @t106 (tptp.c_in @t486 @t446 @t1) @t477))) % 76.01/76.27 (assume @p360 (forall @t485 (or @t299 (not (tptp.hBOOL (tptp.hAPP @t25 @t491))) @t483))) % 76.01/76.27 (assume @p361 (forall @t107 (or @t106 (not (tptp.hBOOL (tptp.hAPP @t25 @t478))) @t477))) % 76.01/76.27 (assume @p362 (forall @t495 (or (tptp.c_in @t494 @t6 @t12) @t493))) % 76.01/76.27 (assume @p363 (forall @t495 (or (tptp.c_in @t496 @t6 @t12) @t493))) % 76.01/76.27 (assume @p364 (forall @t283 (or @t103 @t498))) % 76.01/76.27 (assume @p365 (forall (@list @t26 @t28 @t1 @t21) (or (tptp.c_in @t500 @t26 @t1) @t499 @t30))) % 76.01/76.27 (assume @p366 (forall (@list @t26 @t17 @t1 @t20) (or (tptp.c_in @t502 @t26 @t1) @t501 @t104))) % 76.01/76.27 (assume @p367 (forall (@list @t276 @t507 @t510 @t506 @t509 @t12 @t503 @t1 @t504 @t41) (or (= (tptp.hAPP (tptp.hAPP @t276 @t507) @t510) (tptp.hAPP (tptp.hAPP @t276 @t506) @t509)) (not (tptp.c_in (tptp.c_Pair @t510 @t509 @t12 @t12) @t503 @t508)) (not (tptp.c_in (tptp.c_Pair @t507 @t506 @t1 @t1) @t504 @t54)) @t505))) % 76.01/76.27 (assume @p368 (forall @t397 (or (not (= (tptp.hAPP @t391 @t512) (tptp.hAPP @t512 @t396))) @t511))) % 76.01/76.27 (assume @p369 (forall @t513 (tptp.hBOOL (tptp.hAPP @t96 @t21)))) % 76.01/76.27 (assume @p370 (forall @t514 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t173 @t17 @t13) @t1 @t12) (tptp.c_Set_Oinsert @t77 @t268 @t1)))) % 76.01/76.27 (assume @p371 (forall (@list @t6 @t21 @t61 @t1) (or @t149 @t517 (not @t516)))) % 76.01/76.27 (assume @p372 (forall @t513 (= (tptp.c_Set_Oinsert @t21 @t96 @t1) @t96))) % 76.01/76.27 (assume @p373 (forall (@list @t21 @t61 @t6 @t1) (= (tptp.c_Set_Oinsert @t21 @t515 @t1) (tptp.c_Set_Oinsert @t61 @t96 @t1)))) % 76.01/76.27 (assume @p374 (forall (@list @t61 @t6 @t1 @t21) (or @t516 @t154))) % 76.01/76.27 (assume @p375 (forall @t465 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t463 @t17 @t37) @t12 @t1) (tptp.c_Set_Oinsert @t79 @t356 @t1)))) % 76.01/76.27 (assume @p376 (forall (@list @t77 @t79 @t6 @t1) (or @t518 @t332))) % 76.01/76.27 (assume @p377 (forall (@list @t77 @t79 @t4 @t1) (or (tptp.c_in @t77 @t102 @t1) (not (tptp.c_in @t77 @t4 @t1))))) % 76.01/76.27 (assume @p378 (forall (@list @t77 @t6 @t1 @t79) (or @t240 @t229 (not @t518)))) % 76.01/76.27 (assume @p379 (forall @t513 (tptp.c_in @t21 @t96 @t1))) % 76.01/76.27 (assume @p380 (forall (@list @t77 @t4 @t1) (tptp.c_in @t77 @t114 @t1))) % 76.01/76.27 (assume @p381 (forall (@list @t21 @t4 @t1) (tptp.c_in @t21 @t236 @t1))) % 76.01/76.27 (assume @p382 (forall @t340 (or (not (= @t96 @t236)) @t177 @t175 @t190))) % 76.01/76.27 (assume @p383 (forall @t124 (or (= @t123 @t6) @t332))) % 76.01/76.27 (assume @p384 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.hAPP (tptp.c_Relation_Oconverse tptp.t_a tptp.t_b) tptp.v_r) tptp.t_b tptp.t_a))) % 76.01/76.27 (assume @p385 (forall (@list @t503 @t276 @t77 @t12 @t41 @t6 @t1 @t504) (or (tptp.c_Equiv__Relations_Ocongruent @t503 (tptp.hAPP @t276 @t77) @t12 @t41) @t332 @t505 (not (tptp.c_Equiv__Relations_Oequiv @t6 @t504 @t1))))) % 76.01/76.27 (assume @p386 (forall @t395 (or @t455 (tptp.c_in @t450 tptp.c_Arrow__Order__Mirabelle_OProf @t520)))) % 76.01/76.27 (assume @p387 (forall @t395 (or @t455 (tptp.c_in @t453 tptp.c_Arrow__Order__Mirabelle_OProf @t520)))) % 76.01/76.27 (assume @p388 (forall @t397 (or @t511 (tptp.c_in @t512 tptp.c_Arrow__Order__Mirabelle_OProf @t520)))) % 76.01/76.27 (assume @p389 (forall @t228 (or @t522 (not (tptp.c_in (tptp.c_Pair @t521 @t521 @t1 @t1) @t17 @t54))))) % 76.01/76.27 (assume @p390 (forall @t395 (or @t394 (tptp.c_in @t392 tptp.c_Arrow__Order__Mirabelle_OProf @t520)))) % 76.01/76.27 (assume @p391 (forall (@list @t61 @t26 @t1 @t17 @t20) (or @t523 (not (tptp.c_in (tptp.c_Pair @t61 @t502 @t1 @t1) @t17 @t54)) @t501 @t104))) % 76.01/76.27 (assume @p392 (forall (@list @t61 @t26 @t1 @t28 @t21) (or @t523 (not (tptp.c_in (tptp.c_Pair @t61 @t500 @t1 @t1) @t28 @t54)) @t499 @t30))) % 76.01/76.27 (assume @p393 (forall @t495 (or (tptp.c_in (tptp.c_Pair @t494 @t79 @t12 @t1) @t17 @t37) @t493))) % 76.01/76.27 (assume @p394 (forall @t495 (or (tptp.c_in (tptp.c_Pair @t496 @t79 @t12 @t1) @t17 @t37) @t493))) % 76.01/76.27 (assume @p395 (forall @t526 (or (tptp.c_in (tptp.c_Pair @t77 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t77 @t17 @t1 @t12) @t1 @t12) @t17 @t13) @t525))) % 76.01/76.27 (assume @p396 (forall @t526 (or (tptp.c_in (tptp.c_Pair @t77 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t77 @t17 @t1 @t12) @t1 @t12) @t17 @t13) @t525))) % 76.01/76.27 (assume @p397 (forall @t529 (or @t299 @t528 (not (tptp.c_in (tptp.c_Pair @t527 @t484 tptp.t_a tptp.t_a) @t17 @t410)) @t483))) % 76.01/76.27 (assume @p398 (forall @t529 (or @t299 @t528 (not (tptp.c_in (tptp.c_Pair @t527 @t491 tptp.t_a tptp.t_a) @t17 @t410)) @t483))) % 76.01/76.27 (assume @p399 (forall @t481 (or @t480 (tptp.c_in (tptp.c_Pair @t479 @t21 @t1 @t1) @t17 @t54)))) % 76.01/76.27 (assume @p400 (forall @t420 (or @t106 @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t478 @t1 @t1) @t17 @t54)) @t477))) % 76.01/76.27 (assume @p401 (forall @t530 (or @t299 @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t491 tptp.t_a tptp.t_a) @t17 @t410)) @t483))) % 76.01/76.27 (assume @p402 (forall @t530 (or @t299 @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t484 tptp.t_a tptp.t_a) @t17 @t410)) @t483))) % 76.01/76.27 (assume @p403 (forall @t420 (or @t106 @t419 (not (tptp.c_in (tptp.c_Pair @t61 @t486 @t1 @t1) @t17 @t54)) @t477))) % 76.01/76.27 (assume @p404 (forall @t490 (or (tptp.c_in (tptp.c_Pair @t489 @t21 @t1 @t1) @t28 @t54) @t488))) % 76.01/76.27 (assume @p405 (forall @t461 (or @t497 @t407 @t104))) % 76.01/76.27 (assume @p406 (forall @t460 (or @t408 @t498))) % 76.01/76.27 (assume @p407 (forall @t526 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t77 @t17 @t1 @t12) @t77 @t12 @t1) @t17 @t37) (not @t531)))) % 76.01/76.27 (assume @p408 (forall (@list @t79 @t17 @t1 @t12) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t79 @t17 @t1 @t12) @t79 @t12 @t1) @t17 @t37) (not (tptp.c_in @t79 @t356 @t1))))) % 76.01/76.27 (assume @p409 (forall @t475 (or (tptp.c_in (tptp.c_Pair @t472 @t61 @t1 @t1) @t111 @t54) @t471))) % 76.01/76.27 (assume @p410 (forall @t473 (or (tptp.c_in (tptp.c_Pair @t21 @t474 @t1 @t1) @t111 @t54) @t471))) % 76.01/76.27 (assume @p411 (forall @t536 (or @t535 @t533 @t361))) % 76.01/76.27 (assume @p412 (forall @t536 (or @t538 @t537 @t382))) % 76.01/76.27 (assume @p413 (forall @t536 (or @t538 @t533 @t434))) % 76.01/76.27 (assume @p414 (forall (@list @t276 @t17 @t77 @t1 @t12 @t21) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t276 @t17 @t77 @t1 @t12) @t21) @t286) @t540))) % 76.01/76.27 (assume @p415 (forall (@list @t276 @t28 @t77 @t1 @t12 @t21) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t276 @t28 @t77 @t1 @t12) @t21) @t286) (not (tptp.c_in @t539 @t28 @t54))))) % 76.01/76.27 (assume @p416 (forall @t544 (or @t196 @t543 @t541))) % 76.01/76.27 (assume @p417 (forall (@list @t21 @t28 @t1) (or @t541 @t545))) % 76.01/76.27 (assume @p418 (forall @t549 (or @t548 @t547 @t477))) % 76.01/76.27 (assume @p419 (forall @t549 (or @t548 @t477 @t547))) % 76.01/76.27 (assume @p420 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 76.01/76.27 (assume @p421 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 76.01/76.27 (assume @p422 (forall @t228 (or @t128 (not @t550)))) % 76.01/76.27 (assume @p423 (forall @t312 (or @t550 @t129))) % 76.01/76.27 (assume @p424 (forall @t552 (or @t52 (not @t551)))) % 76.01/76.27 (assume @p425 (forall @t553 (or @t551 @t53))) % 76.01/76.27 (assume @p426 (forall @t312 (or @t554 @t129))) % 76.01/76.27 (assume @p427 (forall @t312 (or (not @t554) @t128))) % 76.01/76.27 (assume @p428 (forall (@list @t12 @t1 @t17 @t44 @t41) (= (tptp.hAPP @t304 (tptp.c_Relation_Orel__comp @t17 @t44 @t12 @t41 @t1)) (tptp.c_Relation_Orel__comp (tptp.hAPP (tptp.c_Relation_Oconverse @t41 @t1) @t44) (tptp.hAPP (tptp.c_Relation_Oconverse @t12 @t41) @t17) @t1 @t41 @t12)))) % 76.01/76.27 (assume @p429 (forall @t24 (= (tptp.hAPP @t309 @t23) @t23))) % 76.01/76.27 (assume @p430 (forall (@list @t1 @t28 @t276 @t12) (= (tptp.hAPP @t309 (tptp.c_Relation_Oinv__image @t28 @t276 @t12 @t1)) (tptp.c_Relation_Oinv__image (tptp.hAPP (tptp.c_Relation_Oconverse @t12 @t12) @t28) @t276 @t12 @t1)))) % 76.01/76.27 (assume @p431 (forall @t312 (= @t556 @t555))) % 76.01/76.27 (assume @p432 (forall @t119 (= (tptp.hAPP @t309 @t59) @t59))) % 76.01/76.27 (assume @p433 (forall @t228 (or @t353 (not @t557)))) % 76.01/76.27 (assume @p434 (forall @t312 (or @t557 @t380))) % 76.01/76.27 (assume @p435 (forall @t312 (= @t558 (tptp.hAPP @t309 @t134)))) % 76.01/76.27 (assume @p436 (forall @t552 (or @t560 (not @t559)))) % 76.01/76.27 (assume @p437 (forall @t553 (or @t559 @t561))) % 76.01/76.27 (assume @p438 (forall @t563 (or (tptp.c_in @t351 @t134 @t54) @t562))) % 76.01/76.27 (assume @p439 (forall @t563 (or @t374 @t562))) % 76.01/76.27 (assume @p440 (forall @t536 (or @t538 @t564 @t382))) % 76.01/76.27 (assume @p441 (forall @t536 (or @t538 @t533 @t361))) % 76.01/76.27 (assume @p442 (forall @t544 (or @t542 @t471 @t196))) % 76.01/76.27 (assume @p443 (forall @t544 (or @t470 @t196 @t543))) % 76.01/76.27 (assume @p444 (forall (@list @t77 @t79 @t1 @t28) (or (tptp.c_in @t234 @t469 @t54) @t229 (not (tptp.c_in @t234 @t111 @t54))))) % 76.01/76.27 (assume @p445 (forall @t235 (or @t360 @t434))) % 76.01/76.27 (assume @p446 (forall @t536 (or @t538 @t564 @t434))) % 76.01/76.27 (assume @p447 (forall (@list @t21 @t60 @t1 @t17 @t61) (or @t425 (not (tptp.c_in @t409 @t87 @t54)) @t408))) % 76.01/76.27 (assume @p448 (forall @t481 (or @t480 @t104))) % 76.01/76.27 (assume @p449 (forall @t228 (or (tptp.c_Relation_Osym @t87 @t1) @t129))) % 76.01/76.27 (assume @p450 (forall @t228 (= (tptp.c_Relation_ODomain @t87 @t1 @t1) @t155))) % 76.01/76.27 (assume @p451 (forall @t24 (tptp.c_Relation_Osym @t23 @t1))) % 76.01/76.27 (assume @p452 (forall (@list @t1 @t28 @t12) (= (tptp.c_Relation_Orel__comp @t23 @t28 @t1 @t1 @t12) @t28))) % 76.01/76.27 (assume @p453 (forall @t127 (= (tptp.c_Relation_Orel__comp @t28 (tptp.c_Relation_OId @t12) @t1 @t12 @t12) @t28))) % 76.01/76.27 (assume @p454 (forall @t51 (tptp.c_Relation_Oantisym @t59 @t1))) % 76.01/76.27 (assume @p455 (forall @t312 (or (tptp.c_Wellfounded_Owf @t555 @t1) (not (tptp.c_Wellfounded_Owf @t310 @t1))))) % 76.01/76.27 (assume @p456 (forall @t228 (or (tptp.c_Relation_Osym @t134 @t1) @t129))) % 76.01/76.27 (assume @p457 (forall @t377 (or @t565 @t30))) % 76.01/76.27 (assume @p458 (forall @t377 (or @t29 (not @t565)))) % 76.01/76.27 (assume @p459 (forall @t119 (= (tptp.c_Relation_OImage @t23 @t6 @t1 @t1) @t6))) % 76.01/76.27 (assume @p460 (forall @t51 (= (tptp.c_Relation_ODomain @t59 @t1 @t1) @t6))) % 76.01/76.27 (assume @p461 (forall @t228 (= (tptp.c_Relation_ORange @t87 @t1 @t1) @t342))) % 76.01/76.27 (assume @p462 (forall @t51 (tptp.c_Relation_Osym @t59 @t1))) % 76.01/76.27 (assume @p463 (forall @t51 (tptp.c_Relation_Orefl__on @t6 @t59 @t1))) % 76.01/76.27 (assume @p464 (forall @t567 (or (tptp.c_Wellfounded_Owf @t566 @t12) @t104))) % 76.01/76.27 (assume @p465 (forall @t228 (= @t568 @t458))) % 76.01/76.27 (assume @p466 (forall @t567 (or (tptp.c_Relation_Osym @t566 @t12) @t129))) % 76.01/76.27 (assume @p467 (forall @t377 (= (tptp.c_Transitive__Closure_Otrancl @t111 @t1) @t111))) % 76.01/76.27 (assume @p468 (forall @t228 (or (tptp.c_Wellfounded_Owf @t87 @t1) @t104))) % 76.01/76.27 (assume @p469 (forall (@list @t28 @t36 @t1 @t569 @t41 @t247 @t12) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t28 @t36 @t1 @t569 @t41) @t247 @t1 @t41 @t12) (tptp.c_Relation_Orel__comp @t28 (tptp.c_Relation_Orel__comp @t36 @t247 @t569 @t41 @t12) @t1 @t569 @t12)))) % 76.01/76.27 (assume @p470 (forall @t312 (or (not @t570) (tptp.c_Equiv__Relations_Oequiv @t155 @t17 @t1)))) % 76.01/76.27 (assume @p471 (forall @t24 (tptp.c_Relation_Oantisym @t23 @t1))) % 76.01/76.27 (assume @p472 (forall (@list @t1 @t12 @t17) (= (tptp.c_Relation_ORange @t571 @t12 @t1) @t268))) % 76.01/76.27 (assume @p473 (forall @t51 (= (tptp.c_Relation_ORange @t59 @t1 @t1) @t6))) % 76.01/76.27 (assume @p474 (forall (@list @t1 @t17 @t6) (or @t570 @t313))) % 76.01/76.27 (assume @p475 (forall @t377 (= (tptp.c_Relation_Orel__comp @t111 @t111 @t1 @t1 @t1) @t111))) % 76.01/76.27 (assume @p476 (forall @t552 (or @t52 @t313))) % 76.01/76.27 (assume @p477 (forall @t331 (or @t128 @t313))) % 76.01/76.27 (assume @p478 (forall @t573 (= @t572 @t356))) % 76.01/76.27 (assume @p479 (forall @t228 (= @t87 @t458))) % 76.01/76.27 (assume @p480 (forall @t228 (= @t87 @t568))) % 76.01/76.27 (assume @p481 (forall @t357 (= @t356 @t572))) % 76.01/76.27 (assume @p482 (forall @t377 (= (tptp.c_Transitive__Closure_Ortrancl @t469 @t1) @t111))) % 76.01/76.27 (assume @p483 (forall @t228 (= (tptp.c_Transitive__Closure_Ortrancl @t134 @t1) @t134))) % 76.01/76.27 (assume @p484 (forall @t536 (or @t535 @t564 @t382))) % 76.01/76.27 (assume @p485 (forall @t235 (or @t433 @t382))) % 76.01/76.27 (assume @p486 (forall @t536 (or @t535 @t564 @t361))) % 76.01/76.27 (assume @p487 (forall @t575 (tptp.c_in @t574 @t134 @t54))) % 76.01/76.27 (assume @p488 (forall (@list @t21 @t1 @t28) @t545)) % 76.01/76.27 (assume @p489 (forall (@list @t21 @t77 @t1 @t17) (or @t540 (not (tptp.c_in (tptp.c_Pair @t77 @t21 @t1 @t1) @t17 @t54)) @t104))) % 76.01/76.27 (assume @p490 (forall @t460 (or @t196 @t577 @t318 @t380))) % 76.01/76.27 (assume @p491 (forall @t235 (or @t229 (not @t578) @t382 @t380))) % 76.01/76.27 (assume @p492 (forall (@list @t276 @t61 @t60 @t1 @t17 @t12) (or (= @t579 (tptp.hAPP @t276 @t60)) (not (tptp.c_in @t409 @t17 @t54)) (not (tptp.c_Equiv__Relations_Ocongruent @t17 @t276 @t1 @t12))))) % 76.01/76.27 (assume @p493 (forall (@list @t21 @t61 @t1 @t6) (or @t196 @t580))) % 76.01/76.27 (assume @p494 (forall (@list @t276 @t17 @t21 @t1 @t12 @t275 @t61) (or (not @t277) (= @t579 (tptp.hAPP @t275 @t61)) @t577))) % 76.01/76.27 (assume @p495 (forall (@list @t77 @t79 @t1) (or @t229 (not (tptp.c_in @t234 @t23 @t54))))) % 76.01/76.27 (assume @p496 (forall @t424 (or @t423 (not @t522)))) % 76.01/76.27 (assume @p497 (forall @t575 (or (not @t581) @t104))) % 76.01/76.27 (assume @p498 (forall (@list @t21 @t61 @t1 @t17 @t276 @t12) (or @t583 (not @t582)))) % 76.01/76.27 (assume @p499 (forall (@list @t276 @t21 @t61 @t12 @t17 @t1) (or @t582 (not @t583)))) % 76.01/76.27 (assume @p500 (forall @t461 (or @t576 @t318 @t129))) % 76.01/76.27 (assume @p501 (forall (@list @t79 @t77 @t1 @t17) (or @t578 @t382 @t129))) % 76.01/76.27 (assume @p502 (forall (@list @t77 @t287 @t1 @t41 @t17 @t44 @t12 @t79) (or (tptp.c_in (tptp.c_Pair @t77 @t287 @t1 @t41) @t48 @t46) (not (tptp.c_in (tptp.c_Pair @t79 @t287 @t12 @t41) @t44 @t42)) @t584))) % 76.01/76.27 (assume @p503 (forall (@list @t77 @t287 @t1 @t28 @t79) (or (tptp.c_in @t534 @t469 @t54) (not (tptp.c_in @t532 @t28 @t54)) (not (tptp.c_in @t234 @t28 @t54))))) % 76.01/76.27 (assume @p504 (forall @t536 (or @t538 @t537 @t434))) % 76.01/76.27 (assume @p505 (forall @t298 (tptp.c_in @t386 @t23 @t54))) % 76.01/76.27 (assume @p506 (forall @t301 (tptp.c_in @t574 @t23 @t54))) % 76.01/76.27 (assume @p507 (forall @t444 (or @t586 @t176 @t585))) % 76.01/76.27 (assume @p508 (forall (@list @t21 @t6 @t1 @t276 @t4 @t12) (or @t176 @t586 @t585))) % 76.01/76.27 (assume @p509 (forall @t592 (or @t591 @t590 @t196 @t403))) % 76.01/76.27 (assume @p510 (forall @t592 (or @t591 @t590 @t371 @t403))) % 76.01/76.27 (assume @p511 (forall @t595 (not (tptp.c_in @t594 @t593 @t390)))) % 76.01/76.27 (assume @p512 (forall @t596 (not (tptp.c_in @t588 @t593 @t390)))) % 76.01/76.27 (assume @p513 (forall @t592 (or @t589 @t371 (not @t591)))) % 76.01/76.27 (assume @p514 (forall @t596 (or @t196 @t517 (tptp.c_in @t588 @t597 @t390)))) % 76.01/76.27 (assume @p515 (forall @t595 (not (tptp.c_in @t594 @t597 @t390)))) % 76.01/76.27 (assume @p516 (forall @t599 (not (tptp.c_in @t598 @t597 @t390)))) % 76.01/76.27 (assume @p517 (forall @t592 (or @t600 @t590 @t196 @t371))) % 76.01/76.27 (assume @p518 (forall @t592 (or @t600 @t590 @t403 @t371))) % 76.01/76.27 (assume @p519 (forall @t599 (or @t601 @t601 (tptp.c_in @t598 @t593 @t390)))) % 76.01/76.27 (assume @p520 (forall @t592 (or @t589 @t403 (not @t600)))) % 76.01/76.27 (assume @p521 (forall (@list @t77 @t79) (or (tptp.c_in @t602 (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t77 @t79) @t390) @t229))) % 76.01/76.27 (assume @p522 (forall @t615 (or @t614 @t612 @t610 @t608 @t605 @t604 @t603))) % 76.01/76.27 (assume @p523 (forall @t617 (or @t611 @t616 @t610 @t608 @t605 @t604 @t603))) % 76.01/76.27 (assume @p524 (forall @t615 (or @t614 @t612 @t609 @t607 @t605 @t604 @t603))) % 76.01/76.27 (assume @p525 (forall @t617 (or @t611 @t616 @t609 @t607 @t605 @t604 @t603))) % 76.01/76.27 (assume @p526 (forall (@list @t77 @t79 @t391 @t21) (or @t614 (not (tptp.c_in @t602 (tptp.hAPP @t21 (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 @t77 @t79 @t21)) @t390)) @t604 (not @t394)))) % 76.01/76.27 (assume @p527 (forall (@list @t391 @t21 @t396) (or (= @t613 (tptp.hAPP @t21 @t396)) @t604 (not @t511)))) % 76.01/76.27 (assume @p528 (forall (@list @t77 @t79 @t1 @t12 @t6 @t4) (or @t619 (not @t618) @t332))) % 76.01/76.27 (assume @p529 (forall (@list @t77 @t17 @t1 @t79) (or @t476 @t382 (not @t548)))) % 76.01/76.27 (assume @p530 (forall (@list @t61 @t17 @t1 @t77) (or (tptp.c_in @t61 @t446 @t1) (not (tptp.c_in (tptp.c_Pair @t61 @t77 @t1 @t1) @t17 @t54)) @t477))) % 76.01/76.27 (assume @p531 (forall (@list @t79 @t17 @t6 @t1 @t12 @t77) (or (tptp.c_in @t79 @t359 @t12) @t584 @t332))) % 76.01/76.27 (assume @p532 (forall (@list @t79 @t17 @t6 @t12 @t1 @t21) (or @t492 (not (tptp.c_in (tptp.c_Pair @t21 @t79 @t12 @t1) @t17 @t37)) (not (tptp.c_in @t21 @t6 @t12))))) % 76.01/76.27 (assume @p533 (forall (@list @t21 @t6 @t1 @t61) (or @t175 @t580))) % 76.01/76.27 (assume @p534 (forall (@list @t21 @t1 @t6) (or (tptp.c_in @t386 @t59 @t54) @t176))) % 76.01/76.27 (assume @p535 (forall @t620 (or @t314 @t318 @t313))) % 76.01/76.27 (assume @p536 (forall @t621 (or @t175 @t318 @t313))) % 76.01/76.27 (assume @p537 (forall (@list @t77 @t17 @t12 @t1 @t21) (or @t531 (not (tptp.c_in (tptp.c_Pair @t21 @t77 @t12 @t1) @t17 @t37))))) % 76.01/76.27 (assume @p538 (forall (@list @t79 @t17 @t1 @t12 @t77) (or (tptp.c_in @t79 (tptp.c_Relation_ORange @t17 @t1 @t12) @t12) @t584))) % 76.01/76.27 (assume @p539 (forall (@list @t77 @t17 @t1 @t12 @t21) (or @t524 (not (tptp.c_in (tptp.c_Pair @t77 @t21 @t1 @t12) @t17 @t13))))) % 76.01/76.27 (assume @p540 (forall (@list @t77 @t17 @t1 @t12 @t79) (or @t524 @t584))) % 76.01/76.27 (assume @p541 (forall (@list @t79 @t4 @t77 @t12 @t1 @t6) (or @t618 @t622))) % 76.01/76.27 (assume @p542 (forall (@list @t77 @t6 @t1 @t79 @t12 @t4) (or @t240 @t622))) % 76.01/76.27 (assume @p543 (forall (@list @t20 @t21 @t1 @t17 @t6) (or (tptp.c_in (tptp.c_Pair @t20 @t21 @t1 @t1) @t17 @t54) (tptp.c_in (tptp.c_Pair @t21 @t20 @t1 @t1) @t17 @t54) (= @t21 @t20) (not (tptp.c_in @t20 @t6 @t1)) @t176 @t561))) % 76.01/76.27 (assume @p544 (forall (@list @t21 @t1 @t17 @t6) (or @t423 @t176 @t53))) % 76.01/76.27 (assume @p545 (forall @t620 (or @t314 @t318 @t53))) % 76.01/76.27 (assume @p546 (forall @t621 (or @t175 @t318 @t53))) % 76.01/76.27 (assume @p547 (forall (@list @t77 @t1 @t17 @t6) (or @t581 @t332 @t53))) % 76.01/76.27 (assume @p548 (forall @t460 (or @t624 (not @t623)))) % 76.01/76.27 (assume @p549 (forall @t460 (or @t623 (not @t624)))) % 76.01/76.27 (assume @p550 (forall @t461 (or @t626 (not @t625)))) % 76.01/76.27 (assume @p551 (forall @t460 (or @t625 (not @t626)))) % 76.01/76.27 (assume @p552 (forall @t640 (or @t639 @t638 @t635 @t632 @t629 @t627 @t229))) % 76.01/76.27 (assume @p553 (forall @t642 (or @t637 @t641 @t635 @t632 @t629 @t627 @t229))) % 76.01/76.27 (assume @p554 (forall @t640 (or @t639 @t638 @t634 @t631 @t629 @t627 @t229))) % 76.01/76.27 (assume @p555 (forall @t642 (or @t637 @t641 @t634 @t631 @t629 @t627 @t229))) % 76.01/76.27 (assume @p556 @t658) % 76.01/76.27 (assume @p557 @t661) % 76.01/76.27 (assume @p558 @t663) % 76.01/76.27 (assume @p559 @t665) % 76.01/76.27 (assume @p560 (forall @t660 (or @t654 @t641 (not @t668) (not @t667) @t629 @t627 @t647 @t646 @t645 @t229))) % 76.01/76.27 (assume @p561 (forall @t660 (or @t654 @t641 @t668 @t667 @t629 @t627 @t647 @t646 @t645 @t229))) % 76.01/76.27 (assume @p562 (not @t669)) % 76.01/76.27 (assume @p563 (tptp.c_in tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf @t520)) % 76.01/76.27 (assume @p564 (forall (@list @t276 @t275 @t21 @t673 @t672 @t670 @t12 @t1 @t41 @t569 @t671) (or (not (= @t675 (tptp.hAPP @t673 (tptp.hAPP @t672 @t670)))) (= @t674 (tptp.hAPP (tptp.c_Fun_Ocomp @t673 @t672 @t569 @t1 @t671) @t670))))) % 76.01/76.27 (assume @p565 (forall (@list @t77 @t79 @t41 @t12 @t1 @t287 @t324 @t569 @t676) (or (not (= @t678 (tptp.c_Fun_Ocomp @t287 @t324 @t569 @t12 @t1))) (= @t677 (tptp.hAPP @t287 (tptp.hAPP @t324 @t676)))))) % 76.01/76.27 (assume @p566 (forall @t680 (or @t679 (= @t79 @t643)))) % 76.01/76.27 (assume @p567 (forall @t680 (or @t679 (= @t77 @t644)))) % 76.01/76.27 (assume @p568 (forall @t514 (or @t683 (not @t682)))) % 76.01/76.27 (assume @p569 (forall @t684 (or (tptp.c_in @t681 @t571 @t37) @t584))) % 76.01/76.27 (assume @p570 (forall @t684 (or @t682 (not @t683)))) % 76.01/76.27 (assume @p571 (forall (@list @t276 @t275 @t685 @t569 @t41 @t1 @t12) (= (tptp.c_Fun_Ocomp @t276 (tptp.c_Fun_Ocomp @t275 @t685 @t569 @t41 @t1) @t41 @t12 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t276 @t275 @t41 @t12 @t569) @t685 @t569 @t12 @t1)))) % 76.01/76.27 (assume @p572 (forall @t690 (or @t689 @t688))) % 76.01/76.27 (assume @p573 (forall @t690 (or @t687 (not @t689)))) % 76.01/76.27 (assume @p574 (not @t691)) % 76.01/76.27 (assume @p575 (forall @t573 (= (tptp.hAPP @t304 @t571) @t17))) % 76.01/76.27 (assume @p576 (forall (@list @t77 @t79 @t676 @t41 @t12 @t1) (= @t677 (tptp.hAPP @t678 @t676)))) % 76.01/76.27 (assume @p577 (forall (@list @t276 @t275 @t12 @t1 @t41 @t21) (= @t674 @t675))) % 76.01/76.27 (assume @p578 @t692) % 76.01/76.27 (assume @p579 (forall (@list @t21 @t36 @t1) (or @t694 (not @t693)))) % 76.01/76.27 (assume @p580 (forall (@list @t36 @t21 @t1) (or @t693 (not @t694)))) % 76.01/76.27 (assume @p581 (not (= tptp.v_a____ tptp.v_c____))) % 76.01/76.27 (assume @p582 @t696) % 76.01/76.27 (assume @p583 (forall @t690 (or @t687 (not @t698)))) % 76.01/76.27 (assume @p584 (forall @t690 (or @t698 @t688))) % 76.01/76.27 (assume @p585 (or @t702 @t700)) % 76.01/76.27 (assume @p586 (or @t699 @t701)) % 76.01/76.27 (assume @p587 (forall @t707 (or (tptp.class_Lattices_Oupper__semilattice @t706) @t704))) % 76.01/76.27 (assume @p588 (forall @t707 (or (tptp.class_Lattices_Olower__semilattice @t706) @t704))) % 76.01/76.27 (assume @p589 (forall @t707 (or (tptp.class_Lattices_Odistrib__lattice @t706) (not (tptp.class_Lattices_Odistrib__lattice @t703))))) % 76.01/76.27 (assume @p590 (forall @t707 (or (tptp.class_Lattices_Obounded__lattice @t706) (not (tptp.class_Lattices_Obounded__lattice @t703))))) % 76.01/76.27 (assume @p591 (forall @t707 (or (tptp.class_Orderings_Opreorder @t706) (not (tptp.class_Orderings_Opreorder @t703))))) % 76.01/76.27 (assume @p592 (forall @t707 (or (tptp.class_Lattices_Olattice @t706) @t704))) % 76.01/76.27 (assume @p593 (forall @t707 (or (tptp.class_Orderings_Oorder @t706) (not (tptp.class_Orderings_Oorder @t703))))) % 76.01/76.27 (assume @p594 (forall @t707 (or (tptp.class_Orderings_Obot @t706) (not (tptp.class_Orderings_Obot @t703))))) % 76.01/76.27 (assume @p595 (forall @t707 (or (tptp.class_HOL_Oord @t706) (not (tptp.class_HOL_Oord @t703))))) % 76.01/76.27 (assume @p596 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 76.01/76.27 (assume @p597 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 76.01/76.27 (assume @p598 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 76.01/76.27 (assume @p599 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 76.01/76.27 (assume @p600 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 76.01/76.27 (assume @p601 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 76.01/76.27 (assume @p602 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 76.01/76.27 (assume @p603 (tptp.class_Orderings_Obot tptp.tc_bool)) % 76.01/76.27 (assume @p604 (tptp.class_HOL_Oord tptp.tc_bool)) % 76.01/76.27 (assume @p605 (forall @t298 (tptp.c_fequal @t21 @t21 @t1))) % 76.01/76.27 (assume @p606 (forall (@list @t709 @t708 @t1) (or (= @t709 @t708) (not (tptp.c_fequal @t709 @t708 @t1))))) % 76.01/76.27 (step @p607 :rule eq-symm :args (@t77 @t79)) % 76.01/76.27 (step @p608 :rule refl :args (@t645)) % 76.01/76.27 (step @p609 :rule refl :args (@t646)) % 76.01/76.27 (step @p610 :rule refl :args (@t647)) % 76.01/76.27 (step @p611 :rule refl :args (@t627)) % 76.01/76.27 (step @p612 :rule refl :args (@t629)) % 76.01/76.27 (step @p613 :rule refl :args (@t649)) % 76.01/76.27 (step @p614 :rule refl :args (@t652)) % 76.01/76.27 (step @p615 :rule refl :args (@t655)) % 76.01/76.27 (step @p616 :rule refl :args (@t639)) % 76.01/76.27 (step @p617 :rule nary_cong :premises (@p616 @p615 @p614 @p613 @p612 @p611 @p610 @p609 @p608 @p607) :args (@t662)) % 76.01/76.27 (step @p618 :rule cong :premises (@p617) :args (@t663)) % 76.01/76.27 (step @p619 :rule eq_resolve :premises (@p558 @p618)) % 76.01/76.27 (step @p620 :rule instantiate :premises (@p583) :args (@t711)) % 76.01/76.27 (step @p621 :rule instantiate :premises (@p584) :args (@t711)) % 76.01/76.27 (step @p622 :rule cnf_or_pos :args (@t715)) % 76.01/76.27 (step @p623 :rule reordering :premises (@p622) :args ((or @t713 @t714 (not @t715)))) % 76.01/76.27 (step @p624 :rule symm :premises (@p562)) % 76.01/76.27 (step @p625 :rule reordering :premises (@p586) :args ((or @t701 @t699))) % 76.01/76.27 (step @p626 :rule refl :args (@t641)) % 76.01/76.27 (step @p627 :rule refl :args (@t654)) % 76.01/76.27 (step @p628 :rule nary_cong :premises (@p627 @p626 @p614 @p613 @p612 @p611 @p610 @p609 @p608 @p607) :args (@t664)) % 76.01/76.27 (step @p629 :rule cong :premises (@p628) :args (@t665)) % 76.01/76.27 (step @p630 :rule eq_resolve :premises (@p559 @p629)) % 76.01/76.27 (step @p631 :rule eq-symm :args (tptp.v_a____ tptp.v_b____)) % 76.01/76.27 (step @p632 :rule refl :args (@t691)) % 76.01/76.27 (step @p633 :rule refl :args (@t716)) % 76.01/76.27 (step @p634 :rule refl :args (@t717)) % 76.01/76.27 (step @p635 :rule refl :args (@t714)) % 76.01/76.27 (step @p636 :rule refl :args (@t712)) % 76.01/76.27 (step @p637 :rule refl :args (@t700)) % 76.01/76.27 (step @p638 :rule refl :args (@t701)) % 76.01/76.27 (step @p639 :rule nary_cong :premises (@p638 @p637 @p636 @p635 @p634 @p633 @p631 @p632 @p632 @p631) :args (@t718)) % 76.01/76.27 (step @p640 :rule refl :args (@t719)) % 76.01/76.27 (step @p641 :rule cong :premises (@p640 @p639) :args ((=> @t719 @t718))) % 76.01/76.27 (assume-push @p711 @t719) % 76.01/76.27 (step @p643 :rule instantiate :premises (@p630) :args (@t720)) % 76.01/76.27 (step-pop @p712 :rule scope :premises (@p643)) % 76.01/76.27 (step @p644 :rule process_scope :premises (@p712) :args (@t718)) % 76.01/76.27 (step @p646 :rule eq_resolve :premises (@p644 @p641)) % 76.01/76.27 (step @p647 :rule implies_elim :premises (@p646)) % 76.01/76.27 (step @p648 :rule chain_m_resolution :premises (@p647 @p630) :args (@t722 @t723 (@list @t719))) % 76.01/76.27 (step @p649 :rule cnf_or_pos :args (@t722)) % 76.01/76.27 (step @p650 :rule factoring :premises (@p649)) % 76.01/76.27 (step @p651 :rule reordering :premises (@p650) :args ((or @t691 @t701 @t700 @t721 @t717 @t716 @t712 @t714 (not @t722)))) % 76.01/76.27 (step @p652 :rule cnf_or_pos :args (@t725)) % 76.01/76.27 (step @p653 :rule reordering :premises (@p652) :args ((or @t712 @t724 (not @t725)))) % 76.01/76.27 (step @p654 :rule chain_m_resolution :premises (@p653 @p620 @p651 @p648 @p582 @p578 @p574 @p624 @p625) :args ((or @t701 @t712) (@list false false false false false true true false) (@list @t725 @t714 @t722 @t696 @t692 @t691 @t721 @t699))) % 76.01/76.27 (step @p655 :rule refl :args (@t650)) % 76.01/76.27 (step @p656 :rule refl :args (@t653)) % 76.01/76.27 (step @p657 :rule nary_cong :premises (@p627 @p626 @p656 @p655 @p612 @p611 @p610 @p609 @p608 @p607) :args (@t659)) % 76.01/76.27 (step @p658 :rule cong :premises (@p657) :args (@t661)) % 76.01/76.27 (step @p659 :rule eq_resolve :premises (@p557 @p658)) % 76.01/76.27 (step @p660 :rule refl :args (@t724)) % 76.01/76.27 (step @p661 :rule refl :args (@t713)) % 76.01/76.27 (step @p662 :rule nary_cong :premises (@p638 @p637 @p661 @p660 @p634 @p633 @p631 @p632 @p632 @p631) :args (@t726)) % 76.01/76.27 (step @p663 :rule refl :args (@t727)) % 76.01/76.27 (step @p664 :rule cong :premises (@p663 @p662) :args ((=> @t727 @t726))) % 76.01/76.27 (assume-push @p713 @t727) % 76.01/76.27 (step @p666 :rule instantiate :premises (@p659) :args (@t720)) % 76.01/76.27 (step-pop @p714 :rule scope :premises (@p666)) % 76.01/76.27 (step @p667 :rule process_scope :premises (@p714) :args (@t726)) % 76.01/76.27 (step @p669 :rule eq_resolve :premises (@p667 @p664)) % 76.01/76.27 (step @p670 :rule implies_elim :premises (@p669)) % 76.01/76.27 (step @p671 :rule chain_m_resolution :premises (@p670 @p659) :args (@t728 @t723 (@list @t727))) % 76.01/76.27 (step @p672 :rule cnf_or_pos :args (@t728)) % 76.01/76.27 (step @p673 :rule factoring :premises (@p672)) % 76.01/76.27 (step @p674 :rule reordering :premises (@p673) :args ((or @t691 @t701 @t700 @t721 @t717 @t716 @t713 @t724 (not @t728)))) % 76.01/76.27 (step @p675 :rule chain_m_resolution :premises (@p623 @p621 @p674 @p671 @p582 @p578 @p574 @p624 @p654 @p625) :args (@t701 @t729 (@list @t715 @t714 @t728 @t696 @t692 @t691 @t721 @t712 @t699))) % 76.01/76.27 (step @p676 :rule chain_m_resolution :premises (@p585 @p675) :args (@t700 @t723 (@list @t701))) % 76.01/76.27 (step @p677 :rule nary_cong :premises (@p616 @p615 @p656 @p655 @p612 @p611 @p610 @p609 @p608 @p607) :args (@t656)) % 76.01/76.27 (step @p678 :rule cong :premises (@p677) :args (@t658)) % 76.01/76.27 (step @p679 :rule eq_resolve :premises (@p556 @p678)) % 76.01/76.27 (step @p680 :rule refl :args (@t702)) % 76.01/76.27 (step @p681 :rule refl :args (@t699)) % 76.01/76.27 (step @p682 :rule nary_cong :premises (@p681 @p680 @p661 @p660 @p634 @p633 @p631 @p632 @p632 @p631) :args (@t730)) % 76.01/76.27 (step @p683 :rule refl :args (@t731)) % 76.01/76.27 (step @p684 :rule cong :premises (@p683 @p682) :args ((=> @t731 @t730))) % 76.01/76.27 (assume-push @p715 @t731) % 76.01/76.27 (step @p686 :rule instantiate :premises (@p679) :args (@t732)) % 76.01/76.27 (step-pop @p716 :rule scope :premises (@p686)) % 76.01/76.27 (step @p687 :rule process_scope :premises (@p716) :args (@t730)) % 76.01/76.27 (step @p689 :rule eq_resolve :premises (@p687 @p684)) % 76.01/76.27 (step @p690 :rule implies_elim :premises (@p689)) % 76.01/76.27 (step @p691 :rule chain_m_resolution :premises (@p690 @p679) :args (@t733 @t723 (@list @t731))) % 76.01/76.27 (step @p692 :rule cnf_or_pos :args (@t733)) % 76.01/76.27 (step @p693 :rule factoring :premises (@p692)) % 76.01/76.27 (step @p694 :rule reordering :premises (@p693) :args ((or @t691 @t702 @t699 @t721 @t717 @t716 @t713 @t724 (not @t733)))) % 76.01/76.27 (step @p695 :rule chain_m_resolution :premises (@p694 @p691 @p676 @p675 @p582 @p578 @p574 @p624 @p623 @p621) :args (@t713 @t729 (@list @t733 @t699 @t701 @t696 @t692 @t691 @t721 @t714 @t715))) % 76.01/76.27 (step @p696 :rule chain_m_resolution :premises (@p653 @p695 @p620) :args (@t724 @t734 (@list @t712 @t725))) % 76.01/76.27 (step @p697 :rule cnf_or_pos :args (@t735)) % 76.01/76.27 (step @p698 :rule factoring :premises (@p697)) % 76.01/76.27 (step @p699 :rule reordering :premises (@p698) :args ((or @t691 @t702 @t699 @t721 @t717 @t716 @t712 @t714 @t736))) % 76.01/76.27 (step @p700 :rule chain_m_resolution :premises (@p699 @p574 @p675 @p676 @p624 @p578 @p582 @p695 @p696) :args (@t736 (@list true false true true false false true true) (@list @t691 @t701 @t699 @t721 @t692 @t696 @t712 @t714))) % 76.01/76.27 (step @p701 :rule nary_cong :premises (@p681 @p680 @p636 @p635 @p634 @p633 @p631 @p632 @p632 @p631) :args (@t737)) % 76.01/76.27 (step @p702 :rule refl :args (@t738)) % 76.01/76.27 (step @p703 :rule cong :premises (@p702 @p701) :args ((=> @t738 @t737))) % 76.01/76.27 (assume-push @p717 @t738) % 76.01/76.27 (step @p705 :rule instantiate :premises (@p619) :args (@t732)) % 76.01/76.27 (step-pop @p718 :rule scope :premises (@p705)) % 76.01/76.27 (step @p706 :rule process_scope :premises (@p718) :args (@t737)) % 76.01/76.27 (step @p708 :rule eq_resolve :premises (@p706 @p703)) % 76.01/76.27 (step @p709 :rule implies_elim :premises (@p708)) % 76.01/76.27 (step @p710 false :rule chain_m_resolution :premises (@p709 @p700 @p619) :args (false @t734 (@list @t735 @t738))) % 76.01/76.27 ) % 76.01/76.27 % SZS output end Proof % 76.01/76.27 % cvc5 exiting %------------------------------------------------------------------------------