TSTP Solution File: LCL856-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL856-1 : TPTP v8.1.0. 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 : n003.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 : 600s
% DateTime : Sun Jul 17 10:26:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 12:25:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.39 # No SInE strategy applied
% 0.20/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.39 #
% 0.20/0.39 # Presaturation interreduction done
% 0.20/0.39 # Number of axioms: 186 Number of unprocessed: 167
% 0.20/0.39 # Tableaux proof search.
% 0.20/0.39 # APR header successfully linked.
% 0.20/0.39 # Hello from C++
% 0.20/0.39 # The folding up rule is enabled...
% 0.20/0.39 # Local unification is enabled...
% 0.20/0.39 # Any saturation attempts will use folding labels...
% 0.20/0.39 # 167 beginning clauses after preprocessing and clausification
% 0.20/0.39 # Creating start rules for all 2 conjectures.
% 0.20/0.39 # There are 2 start rule candidates:
% 0.20/0.39 # Found 39 unit axioms.
% 0.20/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.39 # 2 start rule tableaux created.
% 0.20/0.39 # 128 extension rule candidate clauses
% 0.20/0.39 # 39 unit axiom clauses
% 0.20/0.39
% 0.20/0.39 # Requested 8, 32 cores available to the main process.
% 0.20/0.39 # There are not enough tableaux to fork, creating more from the initial 2
% 0.20/0.39 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.39 # We now have 11 tableaux to operate on
% 0.20/0.39 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.20/0.39 # There were 0 total branch saturation attempts.
% 0.20/0.39 # There were 0 of these attempts blocked.
% 0.20/0.39 # There were 0 deferred branch saturation attempts.
% 0.20/0.39 # There were 0 free duplicated saturations.
% 0.20/0.39 # There were 0 total successful branch saturations.
% 0.20/0.39 # There were 0 successful branch saturations in interreduction.
% 0.20/0.39 # There were 0 successful branch saturations on the branch.
% 0.20/0.39 # There were 0 successful branch saturations after the branch.
% 0.20/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.39 # Begin clausification derivation
% 0.20/0.39
% 0.20/0.39 # End clausification derivation
% 0.20/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.39 cnf(i_0_368, plain, (class_Lattices_Olattice(tc_nat))).
% 0.20/0.39 cnf(i_0_359, negated_conjecture, (c_Type_Otyping(v_e,v_t,v_T))).
% 0.20/0.39 cnf(i_0_372, plain, (class_Lattices_Olattice(tc_bool))).
% 0.20/0.39 cnf(i_0_365, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 0.20/0.39 cnf(i_0_369, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.20/0.39 cnf(i_0_366, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 0.20/0.39 cnf(i_0_370, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.20/0.39 cnf(i_0_367, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 0.20/0.39 cnf(i_0_371, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.20/0.39 cnf(i_0_255, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))).
% 0.20/0.39 cnf(i_0_206, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))).
% 0.20/0.39 cnf(i_0_294, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)).
% 0.20/0.39 cnf(i_0_318, plain, (c_Predicate_Oconversep(c_fequal(X1),X1,X1)=c_fequal(X1))).
% 0.20/0.39 cnf(i_0_315, plain, (c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2)=X1)).
% 0.20/0.39 cnf(i_0_219, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)).
% 0.20/0.39 cnf(i_0_344, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))).
% 0.20/0.39 cnf(i_0_373, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.20/0.39 cnf(i_0_204, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)).
% 0.20/0.39 cnf(i_0_205, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 0.20/0.39 cnf(i_0_323, plain, (c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2))).
% 0.20/0.39 cnf(i_0_250, 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))).
% 0.20/0.39 cnf(i_0_273, 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)))))).
% 0.20/0.39 cnf(i_0_302, 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))).
% 0.20/0.39 cnf(i_0_356, 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))).
% 0.20/0.39 cnf(i_0_244, 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)))).
% 0.20/0.39 cnf(i_0_345, 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))).
% 0.20/0.39 cnf(i_0_340, 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))).
% 0.20/0.39 cnf(i_0_282, 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))))).
% 0.20/0.39 cnf(i_0_214, 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))))).
% 0.20/0.39 cnf(i_0_286, 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))))).
% 0.20/0.39 cnf(i_0_360, negated_conjecture, (~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB))).
% 0.20/0.39 cnf(i_0_301, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.20/0.39 cnf(i_0_189, plain, (~c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3))).
% 0.20/0.39 cnf(i_0_188, plain, (~c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2))).
% 0.20/0.39 cnf(i_0_316, plain, (~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)))).
% 0.20/0.39 cnf(i_0_297, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.20/0.39 cnf(i_0_269, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.20/0.39 cnf(i_0_215, 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))).
% 0.20/0.39 cnf(i_0_263, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.20/0.39 cnf(i_0_325, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.20/0.39 cnf(i_0_324, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB))).
% 0.20/0.39 cnf(i_0_268, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.20/0.39 cnf(i_0_299, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.20/0.39 cnf(i_0_364, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.39 cnf(i_0_357, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(X2,X1,X3))).
% 0.20/0.39 cnf(i_0_361, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.39 cnf(i_0_190, plain, (X1=X2|c_Type_Otype_OFun(X3,X1)!=c_Type_Otype_OFun(X4,X2))).
% 0.20/0.39 cnf(i_0_191, plain, (X1=X2|c_Type_Otype_OFun(X1,X3)!=c_Type_Otype_OFun(X2,X4))).
% 0.20/0.39 cnf(i_0_362, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.39 cnf(i_0_363, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.20/0.39 cnf(i_0_314, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_OwfP(X1,X3))).
% 0.20/0.39 cnf(i_0_321, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))).
% 0.20/0.39 cnf(i_0_293, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 0.20/0.39 cnf(i_0_237, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 0.20/0.39 cnf(i_0_374, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.20/0.39 cnf(i_0_322, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X2,X3),X3))).
% 0.20/0.39 cnf(i_0_346, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3),X3))).
% 0.20/0.39 cnf(i_0_347, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3),X3))).
% 0.20/0.39 cnf(i_0_281, 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))).
% 0.20/0.39 cnf(i_0_270, 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))).
% 0.20/0.39 cnf(i_0_193, 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))).
% 0.20/0.39 cnf(i_0_251, plain, (c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X1,X2),X2)|~c_Wellfounded_OwfP(X1,X2))).
% 0.20/0.39 cnf(i_0_276, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))).
% 0.20/0.39 cnf(i_0_277, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))).
% 0.20/0.39 cnf(i_0_226, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.20/0.39 cnf(i_0_208, 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))).
% 0.20/0.39 cnf(i_0_231, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.20/0.39 cnf(i_0_262, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.20/0.39 cnf(i_0_227, 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))).
% 0.20/0.39 cnf(i_0_278, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.20/0.39 cnf(i_0_279, 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))).
% 0.20/0.39 cnf(i_0_295, 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))).
% 0.20/0.39 cnf(i_0_280, 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))).
% 0.20/0.39 cnf(i_0_296, 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))).
% 0.20/0.39 cnf(i_0_232, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.20/0.39 cnf(i_0_272, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.20/0.39 cnf(i_0_308, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(X1,X2),X4)))).
% 0.20/0.39 cnf(i_0_335, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)))).
% 0.20/0.39 cnf(i_0_223, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.20/0.39 cnf(i_0_313, plain, (c_Type_Otyping(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))|~c_Type_Otyping(X1,X4,X3))).
% 0.20/0.39 cnf(i_0_224, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.20/0.39 cnf(i_0_358, 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)))).
% 0.20/0.39 cnf(i_0_289, 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))).
% 0.20/0.39 cnf(i_0_329, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Oaccp(X3,X2,t_a)|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xaccp__Xinducts__1(X1,X3))))).
% 0.20/0.39 cnf(i_0_332, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Oaccp(X3,X2,t_a)|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xaccp__Xinduct__1(X1,X3))))).
% 0.20/0.39 cnf(i_0_203, 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))).
% 0.20/0.39 cnf(i_0_310, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Oaccp(X3,X2,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X1,X3,X4))))).
% 0.20/0.39 cnf(i_0_291, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.20/0.39 cnf(i_0_212, 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))).
% 0.20/0.39 cnf(i_0_200, plain, (c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X2,X1,X3),tc_Lambda_OdB)|~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)))).
% 0.20/0.39 cnf(i_0_198, 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))).
% 0.20/0.39 cnf(i_0_290, 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))).
% 0.20/0.39 cnf(i_0_312, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X2,X3)),X2)))).
% 0.20/0.39 cnf(i_0_354, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Oaccp(X3,X2,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X1,X3,X4))))).
% 0.20/0.39 cnf(i_0_221, 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))).
% 0.20/0.39 cnf(i_0_222, 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))).
% 0.20/0.39 cnf(i_0_220, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X4)))).
% 0.20/0.39 cnf(i_0_317, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3)),X2)))).
% 0.20/0.39 cnf(i_0_334, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))).
% 0.20/0.39 cnf(i_0_218, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.20/0.39 cnf(i_0_348, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3)),X2)))).
% 0.20/0.39 cnf(i_0_343, plain, (c_Wellfounded_Oaccp(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X2,X1,X3),X3)|hBOOL(hAPP(X2,X4))|~c_Wellfounded_Oaccp(X1,X4,X3))).
% 0.20/0.39 cnf(i_0_217, 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)))).
% 0.20/0.39 cnf(i_0_216, 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)))).
% 0.20/0.39 cnf(i_0_264, 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))).
% 0.20/0.39 cnf(i_0_267, 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))).
% 0.20/0.39 cnf(i_0_353, 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)))).
% 0.20/0.39 cnf(i_0_275, 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))).
% 0.20/0.39 cnf(i_0_351, plain, (c_Wellfounded_Oaccp(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X2,X1,X3),X3)|hBOOL(hAPP(X2,X4))|~c_Wellfounded_Oaccp(X1,X4,X3))).
% 0.20/0.39 cnf(i_0_192, 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))).
% 0.20/0.39 cnf(i_0_352, plain, (c_Type_Otyping(X1,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))),X4),X2))|~c_Type_Otyping(X1,X4,X3))).
% 0.20/0.39 cnf(i_0_265, 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))).
% 0.20/0.39 cnf(i_0_233, 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))).
% 0.20/0.39 cnf(i_0_236, 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))).
% 0.20/0.39 cnf(i_0_326, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X3),c_fequal(X3),tc_fun(X3,tc_fun(X3,tc_bool))),X2),X4)))).
% 0.20/0.39 cnf(i_0_199, 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))).
% 0.20/0.39 cnf(i_0_197, 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)))|~c_ListOrder_Ostep1(c_Lambda_Obeta,X2,X3,tc_Lambda_OdB))).
% 0.20/0.39 cnf(i_0_211, 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)))).
% 0.20/0.39 cnf(i_0_331, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)|~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,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),tc_Lambda_OdB)|~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB))).
% 0.20/0.39 cnf(i_0_328, 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)))).
% 0.20/0.39 cnf(i_0_266, 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))).
% 0.20/0.39 cnf(i_0_239, 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))).
% 0.20/0.39 cnf(i_0_330, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Oaccp(X4,X2,t_a)|~hBOOL(hAPP(hAPP(X4,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X1,X4))))).
% 0.20/0.39 cnf(i_0_333, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Oaccp(X4,X2,t_a)|~hBOOL(hAPP(hAPP(X4,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X1,X4))))).
% 0.20/0.39 cnf(i_0_338, plain, (c_Wellfounded_Oaccp(X1,X2,t_a)|hBOOL(hAPP(X3,X4))|~c_Wellfounded_Oaccp(X1,X4,t_a)|~hBOOL(hAPP(hAPP(X1,X2),v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1))))).
% 0.20/0.39 cnf(i_0_288, 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))).
% 0.20/0.39 cnf(i_0_339, plain, (c_Wellfounded_Oaccp(X1,X2,t_a)|hBOOL(hAPP(X3,X4))|~c_Wellfounded_Oaccp(X1,X4,t_a)|~hBOOL(hAPP(hAPP(X1,X2),v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1))))).
% 0.20/0.39 cnf(i_0_271, 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)))).
% 0.20/0.39 cnf(i_0_207, 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))).
% 0.20/0.39 cnf(i_0_234, 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))).
% 0.20/0.39 cnf(i_0_238, 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))).
% 0.20/0.39 cnf(i_0_311, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Oaccp(X4,X2,X5)|~hBOOL(hAPP(hAPP(X4,X3),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X1,X4,X5))))).
% 0.20/0.39 cnf(i_0_355, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Oaccp(X4,X2,X5)|~hBOOL(hAPP(hAPP(X4,X3),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X1,X4,X5))))).
% 0.20/0.39 cnf(i_0_287, 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))).
% 0.20/0.39 cnf(i_0_235, 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))).
% 0.20/0.39 cnf(i_0_350, 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)))).
% 0.20/0.39 cnf(i_0_349, 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)))).
% 0.20/0.39 cnf(i_0_259, 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)))).
% 0.20/0.39 cnf(i_0_306, 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)))).
% 0.20/0.39 cnf(i_0_258, 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)))).
% 0.20/0.39 cnf(i_0_307, 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)))).
% 0.20/0.39 cnf(i_0_283, 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)))).
% 0.20/0.39 cnf(i_0_260, 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)))).
% 0.20/0.39 cnf(i_0_261, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,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)))).
% 0.20/0.39 cnf(i_0_210, 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))).
% 0.20/0.39 cnf(i_0_303, 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)))).
% 0.20/0.39 cnf(i_0_298, 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)))).
% 0.20/0.39 cnf(i_0_241, 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)))).
% 0.20/0.39 cnf(i_0_257, 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)))).
% 0.20/0.39 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_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)))).
% 0.20/0.39 cnf(i_0_240, 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)))).
% 0.20/0.39 cnf(i_0_274, 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)))).
% 0.20/0.39 cnf(i_0_253, 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)))).
% 0.20/0.39 cnf(i_0_254, 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)))).
% 0.20/0.39 cnf(i_0_249, 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)))).
% 0.20/0.39 cnf(i_0_248, 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)))).
% 0.20/0.39 cnf(i_0_243, 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)))).
% 0.20/0.39 cnf(i_0_242, 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)))).
% 0.20/0.39 cnf(i_0_342, 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)))).
% 0.20/0.40 cnf(i_0_341, 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)))).
% 0.20/0.40 cnf(i_0_285, 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)))).
% 0.20/0.40 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))),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)))).
% 0.20/0.40 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))),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)))).
% 0.20/0.40 cnf(i_0_305, 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)))).
% 0.20/0.40 cnf(i_0_304, 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)))).
% 0.20/0.40 cnf(i_0_246, 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)))).
% 0.20/0.40 cnf(i_0_225, 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)))).
% 0.20/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.20/0.40 # Begin printing tableau
% 0.20/0.40 # Found 4 steps
% 0.20/0.40 cnf(i_0_359, negated_conjecture, (c_Type_Otyping(v_e,v_t,v_T)), inference(start_rule)).
% 0.20/0.40 cnf(i_0_376, plain, (c_Type_Otyping(v_e,v_t,v_T)), inference(extension_rule, [i_0_357])).
% 0.20/0.40 cnf(i_0_687, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_t))), inference(extension_rule, [i_0_325])).
% 0.20/0.40 cnf(i_0_689, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB)), inference(closure_rule, [i_0_360])).
% 0.20/0.40 # End printing tableau
% 0.20/0.40 # SZS output end
% 0.20/0.40 # Branches closed with saturation will be marked with an "s"
% 0.20/0.40 # Child (3635) has found a proof.
% 0.20/0.40
% 0.20/0.40 # Proof search is over...
% 0.20/0.40 # Freeing feature tree
%------------------------------------------------------------------------------