%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL858-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:02:10 PM UTC 2026 % Result : Unsatisfiable 0.08s 0.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL858-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.08/0.37 % Computer : n016.cluster.edu % 0.08/0.37 % Model : x86_64 x86_64 % 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.37 % Memory : 8046.5625MB % 0.08/0.37 % OS : Linux 6.8.0-71-generic % 0.08/0.37 % CPULimit : 300 % 0.08/0.37 % WCLimit : 300 % 0.08/0.37 % DateTime : Sat Sep 5 03:12:29 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.43 # No SInE strategy applied % 0.08/0.43 # Auto-Mode selected heuristic G_E___208_C02AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.08/0.43 # and selection function SelectComplexExceptUniqMaxHorn. % 0.08/0.43 # % 0.08/0.43 # Presaturation interreduction done % 0.08/0.43 # Number of axioms: 203 Number of unprocessed: 181 % 0.08/0.43 # Tableaux proof search. % 0.08/0.43 # APR header successfully linked. % 0.08/0.43 # Hello from C++ % 0.08/0.43 # The folding up rule is enabled... % 0.08/0.43 # Local unification is enabled... % 0.08/0.43 # Any saturation attempts will use folding labels... % 0.08/0.43 # 181 beginning clauses after preprocessing and clausification % 0.08/0.43 # Creating start rules for all 1 conjectures. % 0.08/0.43 # There are 1 start rule candidates: % 0.08/0.43 # Found 42 unit axioms. % 0.08/0.43 # 1 start rule tableaux created. % 0.08/0.43 # 139 extension rule candidate clauses % 0.08/0.43 # 42 unit axiom clauses % 0.08/0.43 % 0.08/0.43 # Requested 8, 32 cores available to the main process. % 0.08/0.43 # There are not enough tableaux to fork, creating more from the initial 1 % 0.08/0.43 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done. % 0.08/0.43 # There were 0 total branch saturation attempts. % 0.08/0.43 # There were 0 of these attempts blocked. % 0.08/0.43 # There were 0 deferred branch saturation attempts. % 0.08/0.43 # There were 0 free duplicated saturations. % 0.08/0.43 # There were 0 total successful branch saturations. % 0.08/0.43 # There were 0 successful branch saturations in interreduction. % 0.08/0.43 # There were 0 successful branch saturations on the branch. % 0.08/0.43 # There were 0 successful branch saturations after the branch. % 0.08/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.43 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.43 # Begin clausification derivation % 0.08/0.43 % 0.08/0.43 # End clausification derivation % 0.08/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.08/0.43 cnf(i_0_402, plain, (class_Lattices_Olattice(tc_nat))). % 0.08/0.43 cnf(i_0_393, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_t)))). % 0.08/0.43 cnf(i_0_406, plain, (class_Lattices_Olattice(tc_bool))). % 0.08/0.43 cnf(i_0_399, plain, (class_Lattices_Oupper__semilattice(tc_nat))). % 0.08/0.43 cnf(i_0_403, plain, (class_Lattices_Oupper__semilattice(tc_bool))). % 0.08/0.43 cnf(i_0_400, plain, (class_Lattices_Olower__semilattice(tc_nat))). % 0.08/0.43 cnf(i_0_404, plain, (class_Lattices_Olower__semilattice(tc_bool))). % 0.08/0.43 cnf(i_0_401, plain, (class_Lattices_Odistrib__lattice(tc_nat))). % 0.08/0.43 cnf(i_0_405, plain, (class_Lattices_Odistrib__lattice(tc_bool))). % 0.08/0.43 cnf(i_0_295, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))). % 0.08/0.43 cnf(i_0_244, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))). % 0.08/0.43 cnf(i_0_332, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)). % 0.08/0.43 cnf(i_0_356, plain, (c_Predicate_Oconversep(c_fequal(X1),X1,X1)=c_fequal(X1))). % 0.08/0.43 cnf(i_0_407, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))). % 0.08/0.43 cnf(i_0_264, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)). % 0.08/0.43 cnf(i_0_353, plain, (c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2)=X1)). % 0.08/0.43 cnf(i_0_273, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))). % 0.08/0.43 cnf(i_0_240, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)). % 0.08/0.43 cnf(i_0_241, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)). % 0.08/0.43 cnf(i_0_360, plain, (c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2))). % 0.08/0.43 cnf(i_0_291, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2))). % 0.08/0.43 cnf(i_0_313, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)))))). % 0.08/0.43 cnf(i_0_340, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X2,X3))). % 0.08/0.43 cnf(i_0_286, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X3)))). % 0.08/0.43 cnf(i_0_381, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X1,X2,X3),c_Predicate_Oconversep(X4,X2,X3),tc_fun(X3,tc_fun(X2,tc_bool)))=c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X2,tc_fun(X3,tc_bool))),X2,X3))). % 0.08/0.43 cnf(i_0_391, plain, (c_Predicate_Opred__comp(c_Predicate_Oconversep(X1,X2,X3),c_Predicate_Oconversep(X4,X5,X2),X3,X2,X5)=c_Predicate_Oconversep(c_Predicate_Opred__comp(X4,X1,X5,X2,X3),X5,X3))). % 0.08/0.43 cnf(i_0_377, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X1,X2,X3),c_Predicate_Oconversep(X4,X2,X3),tc_fun(X3,tc_fun(X2,tc_bool)))=c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_fun(X3,tc_bool))),X2,X3))). % 0.08/0.43 cnf(i_0_321, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))))). % 0.08/0.43 cnf(i_0_258, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Transitive__Closure_Otranclp(X1,X2),X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))))). % 0.08/0.43 cnf(i_0_324, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X3,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),tc_fun(X2,tc_fun(X2,tc_bool))),X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_fun(X2,tc_bool))),X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))))). % 0.08/0.43 cnf(i_0_213, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5))). % 0.08/0.43 cnf(i_0_394, negated_conjecture, (~hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)))). % 0.08/0.43 cnf(i_0_296, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))). % 0.08/0.43 cnf(i_0_218, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)). % 0.08/0.43 cnf(i_0_354, plain, (~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)))). % 0.08/0.43 cnf(i_0_209, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))). % 0.08/0.43 cnf(i_0_309, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.08/0.43 cnf(i_0_335, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.08/0.43 cnf(i_0_242, plain, (~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),c_List_Olist_ONil(X2))))). % 0.08/0.43 cnf(i_0_243, plain, (~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_ONil(X2)),X3)))). % 0.08/0.43 cnf(i_0_260, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_303, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_361, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1)))). % 0.08/0.43 cnf(i_0_337, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))). % 0.08/0.43 cnf(i_0_308, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.08/0.43 cnf(i_0_362, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.08/0.43 cnf(i_0_398, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.08/0.43 cnf(i_0_220, plain, (X1=X2|c_Type_Otype_OFun(X3,X1)!=c_Type_Otype_OFun(X4,X2))). % 0.08/0.43 cnf(i_0_221, plain, (X1=X2|c_Type_Otype_OFun(X1,X3)!=c_Type_Otype_OFun(X2,X4))). % 0.08/0.43 cnf(i_0_259, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(X2,X1,X3))). % 0.08/0.43 cnf(i_0_408, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))). % 0.08/0.43 cnf(i_0_270, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.08/0.43 cnf(i_0_395, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.08/0.43 cnf(i_0_396, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.08/0.43 cnf(i_0_397, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))). % 0.08/0.43 cnf(i_0_293, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))). % 0.08/0.43 cnf(i_0_331, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))). % 0.08/0.43 cnf(i_0_280, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))). % 0.08/0.43 cnf(i_0_352, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~c_Wellfounded_OwfP(X1,X2))). % 0.08/0.43 cnf(i_0_302, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.08/0.43 cnf(i_0_252, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OVar(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_251, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OAbs(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_292, plain, (c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X1,X2),X2)|~c_Wellfounded_OwfP(X1,X2))). % 0.08/0.43 cnf(i_0_207, plain, (X1=X2|c_List_Olist_OCons(X3,X1,X4)!=c_List_Olist_OCons(X5,X2,X4))). % 0.08/0.43 cnf(i_0_208, plain, (X1=X2|c_List_Olist_OCons(X1,X3,X4)!=c_List_Olist_OCons(X2,X5,X4))). % 0.08/0.43 cnf(i_0_320, plain, (X1=c_Lambda_OdB_OAbs(X2)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X2))). % 0.08/0.43 cnf(i_0_310, plain, (c_Lambda_OdB_OVar(X1)=X2|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_392, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)))). % 0.08/0.43 cnf(i_0_315, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))). % 0.08/0.43 cnf(i_0_316, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))). % 0.08/0.43 cnf(i_0_372, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)))). % 0.08/0.43 cnf(i_0_263, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.08/0.43 cnf(i_0_359, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2))))). % 0.08/0.43 cnf(i_0_274, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_317, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_312, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_271, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_238, plain, (c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2)|~hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3)))). % 0.08/0.43 cnf(i_0_382, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X3,X2))))). % 0.08/0.43 cnf(i_0_383, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X3,X2))))). % 0.08/0.43 cnf(i_0_265, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X4)))). % 0.08/0.43 cnf(i_0_371, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))). % 0.08/0.43 cnf(i_0_275, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.08/0.43 cnf(i_0_268, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_269, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.08/0.43 cnf(i_0_351, plain, (c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2)))). % 0.08/0.43 cnf(i_0_237, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X3,X4))|~c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_Type_Otype),X2,X4))). % 0.08/0.43 cnf(i_0_329, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.08/0.43 cnf(i_0_366, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X3,t_a),X2))|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xaccp__Xinducts__1(X1,X3))))). % 0.08/0.43 cnf(i_0_369, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X3,t_a),X2))|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xaccp__Xinduct__1(X1,X3))))). % 0.08/0.43 cnf(i_0_388, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)))). % 0.08/0.43 cnf(i_0_256, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_333, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_318, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_334, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_319, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_350, plain, (hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X2,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)))). % 0.08/0.43 cnf(i_0_346, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(hAPP(X1,X3),X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)))). % 0.08/0.43 cnf(i_0_386, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)))). % 0.08/0.43 cnf(i_0_327, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_355, plain, (hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)))). % 0.08/0.43 cnf(i_0_328, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.08/0.43 cnf(i_0_266, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_267, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.08/0.43 cnf(i_0_212, plain, (X1=X2|X3=X4|~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X5,X6),c_List_Olist_OCons(X2,X4,X6)),c_List_Olist_OCons(X1,X3,X6))))). % 0.08/0.43 cnf(i_0_384, plain, (hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)))). % 0.08/0.43 cnf(i_0_385, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X3)))). % 0.08/0.43 cnf(i_0_348, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X1,X3,X4)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X4),X2)))). % 0.08/0.43 cnf(i_0_389, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X1,X3,X4)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X4),X2)))). % 0.08/0.43 cnf(i_0_305, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))). % 0.08/0.43 cnf(i_0_239, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3))|~c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2))). % 0.08/0.43 cnf(i_0_262, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3)))). % 0.08/0.43 cnf(i_0_261, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3)))). % 0.08/0.43 cnf(i_0_223, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5))). % 0.08/0.43 cnf(i_0_304, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_365, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X4)))). % 0.08/0.43 cnf(i_0_367, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(X4,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X1,X4)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X2)))). % 0.08/0.43 cnf(i_0_370, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(X4,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X1,X4)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X2)))). % 0.08/0.43 cnf(i_0_306, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))). % 0.08/0.43 cnf(i_0_307, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))). % 0.08/0.43 cnf(i_0_276, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))). % 0.08/0.43 cnf(i_0_279, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.08/0.43 cnf(i_0_225, plain, (c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)|~c_Type_Otyping(X1,X3,X6))). % 0.08/0.43 cnf(i_0_216, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X3,X4),c_List_Olist_OCons(X2,X5,X4)),c_List_Olist_OCons(X1,X6,X4))))). % 0.08/0.43 cnf(i_0_311, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)))). % 0.08/0.43 cnf(i_0_349, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(X4,X3),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X1,X4,X5)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X2)))). % 0.08/0.43 cnf(i_0_390, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(X4,X3),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X1,X4,X5)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X2)))). % 0.08/0.43 cnf(i_0_375, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(X1,X2),v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X4)))). % 0.08/0.43 cnf(i_0_277, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))). % 0.08/0.43 cnf(i_0_222, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X2,c_Type_Otype_OFun(X5,X4))|~c_Type_Otyping(X1,X3,X5))). % 0.08/0.43 cnf(i_0_314, plain, (X1=X2|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1))). % 0.08/0.43 cnf(i_0_210, plain, (X1=X2|hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X3,X4),X1),X2))|~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X3,X4),c_List_Olist_OCons(X5,X1,X4)),c_List_Olist_OCons(X6,X2,X4))))). % 0.08/0.43 cnf(i_0_282, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.08/0.43 cnf(i_0_376, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(X1,X2),v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X4)))). % 0.08/0.43 cnf(i_0_246, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)))). % 0.08/0.43 cnf(i_0_380, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X3,X1,X2)))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)))). % 0.08/0.43 cnf(i_0_278, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))). % 0.08/0.43 cnf(i_0_299, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6))|~hBOOL(hAPP(hAPP(X2,X5),X6)))). % 0.08/0.43 cnf(i_0_326, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.08/0.43 cnf(i_0_281, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.08/0.43 cnf(i_0_325, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.08/0.43 cnf(i_0_363, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)))). % 0.08/0.43 cnf(i_0_300, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6))|~hBOOL(hAPP(hAPP(X1,X5),X6)))). % 0.08/0.43 cnf(i_0_387, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X3,X1,X2)))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)))). % 0.08/0.43 cnf(i_0_227, plain, (hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.08/0.43 cnf(i_0_344, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))). % 0.08/0.43 cnf(i_0_345, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X5),X4))|~hBOOL(hAPP(hAPP(X1,X3),X5)))). % 0.08/0.43 cnf(i_0_211, plain, (hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X4,X2)))|~hBOOL(hAPP(hAPP(X1,X3),X5)))). % 0.08/0.43 cnf(i_0_298, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|hBOOL(hAPP(hAPP(X4,X2),X3))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3)))). % 0.08/0.43 cnf(i_0_226, plain, (c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X4),X2)))). % 0.08/0.43 cnf(i_0_322, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X3,X4),X1),X2))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X3,X4),c_fequal(X4),tc_fun(X4,tc_fun(X4,tc_bool))),X1),X2)))). % 0.08/0.43 cnf(i_0_336, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)))). % 0.08/0.43 cnf(i_0_283, plain, (hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X2,X3,X4,X5),X6),X7))|~hBOOL(hAPP(hAPP(X2,X8),X7))|~hBOOL(hAPP(hAPP(X1,X6),X8)))). % 0.08/0.43 cnf(i_0_255, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB)=X3|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.08/0.43 cnf(i_0_245, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X3,X1,X4),tc_Lambda_OdB,tc_Lambda_OdB)=X2|X4=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X4,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.08/0.43 cnf(i_0_254, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|~c_Type_Otyping(c_Type_Oshift(X4,X3,X5,tc_Type_Otype),X1,X6)|~c_Type_Otyping(X4,X2,X5))). % 0.08/0.43 cnf(i_0_206, plain, (hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),X4))|hBOOL(hAPP(hAPP(X1,X5),X6))|~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X5,X3,X2)),c_List_Olist_OCons(X6,X4,X2))))). % 0.08/0.43 cnf(i_0_205, plain, (hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X3,X5,X2)))|~hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X5)))). % 0.08/0.43 cnf(i_0_368, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_OCons(X2,X3,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X2)))). % 0.08/0.43 cnf(i_0_341, plain, (hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6))|~hBOOL(hAPP(hAPP(X2,X5),X6))|~hBOOL(hAPP(hAPP(X1,X5),X6)))). % 0.08/0.43 cnf(i_0_219, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),c_List_Olist_OCons(X3,X4,X2)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)))). % 0.08/0.43 cnf(i_0_301, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_OCons(X2,X3,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X2)))). % 0.08/0.43 cnf(i_0_297, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X4)))). % 0.08/0.43 cnf(i_0_290, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))). % 0.08/0.43 cnf(i_0_289, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X5),X4))|~hBOOL(hAPP(hAPP(X1,X3),X5)))). % 0.08/0.43 cnf(i_0_285, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X5))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X5),X4)))). % 0.08/0.43 cnf(i_0_230, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)))). % 0.08/0.43 cnf(i_0_233, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X1),X2)))). % 0.08/0.43 cnf(i_0_224, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X1),X3)))). % 0.08/0.43 cnf(i_0_235, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X1),X3)))). % 0.08/0.43 cnf(i_0_234, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X2),X3)))). % 0.08/0.43 cnf(i_0_229, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X1),X4)))). % 0.08/0.43 cnf(i_0_284, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)))). % 0.08/0.43 cnf(i_0_378, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X4),X3)))). % 0.08/0.43 cnf(i_0_379, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X4),X3)))). % 0.08/0.43 cnf(i_0_343, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))). % 0.08/0.43 cnf(i_0_228, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X2),X4)))). % 0.08/0.43 cnf(i_0_247, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X1),X3)))). % 0.08/0.43 cnf(i_0_236, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4)))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X2),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_fequal(tc_Lambda_OdB),tc_fun(tc_Lambda_OdB,tc_fun(tc_Lambda_OdB,tc_bool))),X1),X3)))). % 0.08/0.43 cnf(i_0_342, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X5),X4))|~hBOOL(hAPP(hAPP(X1,X3),X5)))). % 0.08/0.43 cnf(i_0_288, plain, (hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X5),X4))|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X3),X5)))). % 0.08/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.08/0.43 # Begin printing tableau % 0.08/0.43 # Found 3 steps % 0.08/0.43 cnf(i_0_394, negated_conjecture, (~hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t))), inference(start_rule)). % 0.08/0.43 cnf(i_0_409, plain, (~hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t))), inference(extension_rule, [i_0_362])). % 0.08/0.43 cnf(i_0_417, plain, (~hBOOL(hAPP(c_InductTermi_OIT,v_t))), inference(closure_rule, [i_0_393])). % 0.08/0.43 # End printing tableau % 0.08/0.43 # SZS output end % 0.08/0.43 # Branches closed with saturation will be marked with an "s" % 0.08/0.43 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux. % 0.08/0.43 # We now have 1 tableaux to operate on % 0.08/0.43 # Found closed tableau during pool population. % 0.08/0.43 # Proof search is over... % 0.08/0.43 # Freeing feature tree %------------------------------------------------------------------------------