%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL822-1 : 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 : n028.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 12:02:05 PM UTC 2026 % Result : Unsatisfiable 0.10s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL822-1 : 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 % 0.10/0.36 % Computer : n028.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 20:34:59 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.40 # No SInE strategy applied % 0.10/0.40 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y % 0.10/0.40 # and selection function SelectMaxLComplexAvoidPosPred. % 0.10/0.40 # % 0.10/0.40 # Presaturation interreduction done % 0.10/0.40 # Number of axioms: 230 Number of unprocessed: 191 % 0.10/0.40 # Tableaux proof search. % 0.10/0.40 # APR header successfully linked. % 0.10/0.40 # Hello from C++ % 0.10/0.40 # The folding up rule is enabled... % 0.10/0.40 # Local unification is enabled... % 0.10/0.40 # Any saturation attempts will use folding labels... % 0.10/0.40 # 191 beginning clauses after preprocessing and clausification % 0.10/0.40 # Creating start rules for all 1 conjectures. % 0.10/0.40 # There are 1 start rule candidates: % 0.10/0.40 # Found 60 unit axioms. % 0.10/0.40 # 1 start rule tableaux created. % 0.10/0.40 # 131 extension rule candidate clauses % 0.10/0.40 # 60 unit axiom clauses % 0.10/0.40 % 0.10/0.40 # Requested 8, 32 cores available to the main process. % 0.10/0.40 # There are not enough tableaux to fork, creating more from the initial 1 % 0.10/0.40 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done. % 0.10/0.40 # There were 0 total branch saturation attempts. % 0.10/0.40 # There were 0 of these attempts blocked. % 0.10/0.40 # There were 0 deferred branch saturation attempts. % 0.10/0.40 # There were 0 free duplicated saturations. % 0.10/0.40 # There were 0 total successful branch saturations. % 0.10/0.40 # There were 0 successful branch saturations in interreduction. % 0.10/0.40 # There were 0 successful branch saturations on the branch. % 0.10/0.40 # There were 0 successful branch saturations after the branch. % 0.10/0.40 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.40 # Begin clausification derivation % 0.10/0.40 % 0.10/0.40 # End clausification derivation % 0.10/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.10/0.40 cnf(i_0_457, plain, (class_Lattices_Olattice(tc_bool))). % 0.10/0.40 cnf(i_0_455, plain, (class_Lattices_Olower__semilattice(tc_bool))). % 0.10/0.40 cnf(i_0_458, plain, (class_Orderings_Oorder(tc_bool))). % 0.10/0.40 cnf(i_0_456, plain, (class_Orderings_Opreorder(tc_bool))). % 0.10/0.40 cnf(i_0_450, plain, (class_Nat_Osemiring__char__0(tc_nat))). % 0.10/0.40 cnf(i_0_447, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))). % 0.10/0.40 cnf(i_0_449, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))). % 0.10/0.40 cnf(i_0_453, plain, (class_Lattices_Olattice(tc_nat))). % 0.10/0.40 cnf(i_0_448, plain, (class_Lattices_Olower__semilattice(tc_nat))). % 0.10/0.40 cnf(i_0_454, plain, (class_Orderings_Oorder(tc_nat))). % 0.10/0.40 cnf(i_0_451, plain, (class_Orderings_Opreorder(tc_nat))). % 0.10/0.40 cnf(i_0_452, plain, (class_Orderings_Olinorder(tc_nat))). % 0.10/0.40 cnf(i_0_283, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_u____)))). % 0.10/0.40 cnf(i_0_328, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_ua______)))). % 0.10/0.40 cnf(i_0_441, plain, (c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____))). % 0.10/0.40 cnf(i_0_434, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))). % 0.10/0.40 cnf(i_0_339, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))). % 0.10/0.40 cnf(i_0_264, plain, (c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1))=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.10/0.40 cnf(i_0_335, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)). % 0.10/0.40 cnf(i_0_334, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)). % 0.10/0.40 cnf(i_0_418, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(v_e____),v_u____),v_T____)))). % 0.10/0.40 cnf(i_0_398, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)). % 0.10/0.40 cnf(i_0_433, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(v_ea______),v_ua______),v_T____)))). % 0.10/0.40 cnf(i_0_399, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)). % 0.10/0.40 cnf(i_0_232, plain, (c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2)=c_Transitive__Closure_Ortranclp(X1,X2))). % 0.10/0.40 cnf(i_0_254, plain, (c_Predicate_Oconversep(c_fequal(X1),X1,X1)=c_fequal(X1))). % 0.10/0.40 cnf(i_0_284, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)). % 0.10/0.40 cnf(i_0_428, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)). % 0.10/0.40 cnf(i_0_461, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))). % 0.10/0.40 cnf(i_0_255, plain, (c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2)=X1)). % 0.10/0.40 cnf(i_0_342, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)). % 0.10/0.40 cnf(i_0_235, plain, (c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4)=X3)). % 0.10/0.40 cnf(i_0_242, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)))). % 0.10/0.40 cnf(i_0_439, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_Lambda_OdB_OVar(X2)),hAPP(X1,X2))))). % 0.10/0.40 cnf(i_0_437, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)))). % 0.10/0.40 cnf(i_0_438, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))). % 0.10/0.40 cnf(i_0_388, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))). % 0.10/0.40 cnf(i_0_410, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.10/0.40 cnf(i_0_431, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_Ha______)))). % 0.10/0.40 cnf(i_0_338, 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))). % 0.10/0.40 cnf(i_0_349, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))). % 0.10/0.40 cnf(i_0_364, 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)))))). % 0.10/0.40 cnf(i_0_406, 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))). % 0.10/0.40 cnf(i_0_249, plain, (c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X4,X5,X6),X5,X6)=c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6))). % 0.10/0.40 cnf(i_0_322, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)))). % 0.10/0.40 cnf(i_0_350, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))). % 0.10/0.40 cnf(i_0_421, plain, (c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)=c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6))). % 0.10/0.40 cnf(i_0_293, plain, (c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5))). % 0.10/0.40 cnf(i_0_432, plain, (v_n____!=v_i____)). % 0.10/0.40 cnf(i_0_442, negated_conjecture, (~c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB))). % 0.10/0.40 cnf(i_0_405, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.10/0.40 cnf(i_0_359, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))). % 0.10/0.40 cnf(i_0_324, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))). % 0.10/0.40 cnf(i_0_253, plain, (~c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3))). % 0.10/0.40 cnf(i_0_252, plain, (~c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2))). % 0.10/0.40 cnf(i_0_383, plain, (~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)))). % 0.10/0.40 cnf(i_0_402, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.10/0.40 cnf(i_0_356, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))). % 0.10/0.40 cnf(i_0_291, 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))). % 0.10/0.40 cnf(i_0_344, 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))). % 0.10/0.40 cnf(i_0_353, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))). % 0.10/0.40 cnf(i_0_403, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))). % 0.10/0.40 cnf(i_0_261, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))). % 0.10/0.40 cnf(i_0_361, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 0.10/0.40 cnf(i_0_363, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 0.10/0.40 cnf(i_0_362, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 0.10/0.40 cnf(i_0_445, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.10/0.40 cnf(i_0_443, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). % 0.10/0.40 cnf(i_0_446, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))). % 0.10/0.40 cnf(i_0_444, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))). % 0.10/0.40 cnf(i_0_394, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=X3)). % 0.10/0.40 cnf(i_0_265, plain, (X1=c_List_Olist_ONil(X2)|c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.10/0.40 cnf(i_0_260, plain, (~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))). % 0.10/0.40 cnf(i_0_392, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=X3)). % 0.10/0.40 cnf(i_0_307, 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))). % 0.10/0.40 cnf(i_0_250, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))). % 0.10/0.40 cnf(i_0_413, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.10/0.40 cnf(i_0_415, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.10/0.40 cnf(i_0_414, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.10/0.40 cnf(i_0_352, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=c_List_Olist_ONil(X2))). % 0.10/0.40 cnf(i_0_351, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=c_List_Olist_ONil(X2))). % 0.10/0.40 cnf(i_0_462, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))). % 0.10/0.40 cnf(i_0_332, plain, (X1=X2|c_List_Oappend(X3,X1,X4)!=c_List_Oappend(X3,X2,X4))). % 0.10/0.40 cnf(i_0_331, plain, (X1=X2|c_List_Oappend(X1,X3,X4)!=c_List_Oappend(X2,X3,X4))). % 0.10/0.40 cnf(i_0_397, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))). % 0.10/0.40 cnf(i_0_248, 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))). % 0.10/0.40 cnf(i_0_420, plain, (c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X1),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X2,tc_Lambda_OdB)|~c_Type_Otypings(X1,X2,X3))). % 0.10/0.40 cnf(i_0_381, 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))). % 0.10/0.40 cnf(i_0_384, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))). % 0.10/0.40 cnf(i_0_435, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3))). % 0.10/0.40 cnf(i_0_436, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3))). % 0.10/0.40 cnf(i_0_424, plain, (c_List_Olistsp(X1,X2,X3)|~hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3))))). % 0.10/0.40 cnf(i_0_317, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.10/0.40 cnf(i_0_357, 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))). % 0.10/0.40 cnf(i_0_247, 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)))). % 0.10/0.40 cnf(i_0_306, 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))). % 0.10/0.40 cnf(i_0_285, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))). % 0.10/0.40 cnf(i_0_374, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))). % 0.10/0.40 cnf(i_0_395, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X3),X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))). % 0.10/0.40 cnf(i_0_318, 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))). % 0.10/0.40 cnf(i_0_314, plain, (X1=c_List_Olist_ONil(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat))). % 0.10/0.40 cnf(i_0_375, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))). % 0.10/0.40 cnf(i_0_396, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X1),X3)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))). % 0.10/0.40 cnf(i_0_430, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_Lambda_OdB_OVar(X2)),X3)))). % 0.10/0.40 cnf(i_0_289, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))). % 0.10/0.40 cnf(i_0_290, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))). % 0.10/0.40 cnf(i_0_343, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.10/0.40 cnf(i_0_367, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))). % 0.10/0.40 cnf(i_0_263, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3))). % 0.10/0.40 cnf(i_0_301, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))). % 0.10/0.40 cnf(i_0_389, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.10/0.40 cnf(i_0_236, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)))). % 0.10/0.40 cnf(i_0_379, 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))). % 0.10/0.40 cnf(i_0_400, 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))). % 0.10/0.40 cnf(i_0_380, 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))). % 0.10/0.40 cnf(i_0_401, 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))). % 0.10/0.40 cnf(i_0_326, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.10/0.40 cnf(i_0_327, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.10/0.40 cnf(i_0_258, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(X1,X2),X4)))). % 0.10/0.40 cnf(i_0_320, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))). % 0.10/0.40 cnf(i_0_423, plain, (c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)|~c_List_Olistsp(X1,X3,X4)|~c_List_Olistsp(X1,X2,X4))). % 0.10/0.40 cnf(i_0_425, plain, (c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,X3)|~c_List_Olistsp(X2,X4,X3)|~c_List_Olistsp(X1,X4,X3))). % 0.10/0.40 cnf(i_0_376, 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))). % 0.10/0.40 cnf(i_0_321, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.10/0.40 cnf(i_0_329, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|X1=X3|c_HOL_Oord__class_Oless(X3,X1,tc_nat))). % 0.10/0.40 cnf(i_0_302, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1))). % 0.10/0.40 cnf(i_0_377, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.10/0.40 cnf(i_0_378, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.10/0.40 cnf(i_0_390, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.10/0.40 cnf(i_0_422, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X5)=hAPP(X1,X5)|~c_HOL_Oord__class_Oless(X5,X2,tc_nat))). % 0.10/0.40 cnf(i_0_366, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 0.10/0.40 cnf(i_0_262, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2))). % 0.10/0.40 cnf(i_0_292, 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)))). % 0.10/0.40 cnf(i_0_251, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X4)))). % 0.10/0.40 cnf(i_0_244, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X2),X4)))). % 0.10/0.40 cnf(i_0_365, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))). % 0.10/0.40 cnf(i_0_287, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.10/0.40 cnf(i_0_386, 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))). % 0.10/0.40 cnf(i_0_387, 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))). % 0.10/0.40 cnf(i_0_407, plain, (hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(X1,X4)))). % 0.10/0.40 cnf(i_0_275, 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)))). % 0.10/0.40 cnf(i_0_237, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))). % 0.10/0.40 cnf(i_0_234, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3)))). % 0.10/0.40 cnf(i_0_345, 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))). % 0.10/0.40 cnf(i_0_348, 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))). % 0.10/0.40 cnf(i_0_298, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.10/0.40 cnf(i_0_299, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X4,X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.10/0.40 cnf(i_0_269, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)))). % 0.10/0.40 cnf(i_0_346, 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))). % 0.10/0.40 cnf(i_0_286, 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)))). % 0.10/0.40 cnf(i_0_296, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X4,X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.10/0.40 cnf(i_0_240, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)|~c_ListOrder_Ostep1(X1,X2,X5,X4))). % 0.10/0.40 cnf(i_0_241, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))). % 0.10/0.40 cnf(i_0_419, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2)))). % 0.10/0.40 cnf(i_0_417, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype)),c_Lambda_Olift(X4,X2)),X5))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X4),X5)))). % 0.10/0.40 cnf(i_0_300, 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)))). % 0.10/0.40 cnf(i_0_429, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_Lambda_OdB_OAbs(X2)),hAPP(hAPP(c_Type_Otype_OFun,X3),X4)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_Type_Otype)),X2),X4)))). % 0.10/0.40 cnf(i_0_280, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))). % 0.10/0.40 cnf(i_0_347, 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))). % 0.10/0.40 cnf(i_0_233, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)))). % 0.10/0.40 cnf(i_0_330, 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)))). % 0.10/0.40 cnf(i_0_277, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X4),X3)))). % 0.10/0.40 cnf(i_0_276, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2)),X3)))). % 0.10/0.40 cnf(i_0_358, 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)))). % 0.10/0.40 cnf(i_0_312, 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))). % 0.10/0.40 cnf(i_0_369, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Type_Otyping(X3),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB)),X2))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X3),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB)),X1)))). % 0.10/0.40 cnf(i_0_257, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))). % 0.10/0.40 cnf(i_0_272, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)))). % 0.10/0.40 cnf(i_0_256, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X5),X4))|~hBOOL(hAPP(hAPP(X1,X3),X5)))). % 0.10/0.40 cnf(i_0_282, 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)))). % 0.10/0.40 cnf(i_0_281, 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)))). % 0.10/0.40 cnf(i_0_246, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)))). % 0.10/0.40 cnf(i_0_273, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X4)))). % 0.10/0.40 cnf(i_0_274, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X4)))). % 0.10/0.40 cnf(i_0_311, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))). % 0.10/0.40 cnf(i_0_341, 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)))). % 0.10/0.40 cnf(i_0_267, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))). % 0.10/0.40 cnf(i_0_268, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)))). % 0.10/0.40 cnf(i_0_304, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)),X3)))). % 0.10/0.40 cnf(i_0_440, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_Lambda_Osubst(X2,X3,X4)),X5))|~hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype)),X2),X5))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X3),X6)))). % 0.10/0.40 cnf(i_0_382, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),hAPP(hAPP(c_Type_Otype_OFun,X5),X4)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X3),X5)))). % 0.10/0.40 cnf(i_0_278, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.10/0.40 cnf(i_0_279, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.10/0.40 cnf(i_0_313, 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))). % 0.10/0.40 cnf(i_0_295, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4))|~c_Type_Otypings(X1,X3,X5)|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,X5,X4,tc_Type_Otype,tc_Type_Otype))))). % 0.10/0.40 cnf(i_0_316, plain, (hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_Lambda_OdB_OVar(X2)),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype)))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))). % 0.10/0.40 cnf(i_0_266, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))). % 0.10/0.40 cnf(i_0_426, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|hAPP(hAPP(c_Type_Otype_OFun,X4),X5)!=v_T____|~hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(X6,X3,X5,tc_Type_Otype)),X1),X7))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X6),X2),X5))|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.10/0.40 cnf(i_0_427, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X2,X3)))|hAPP(hAPP(c_Type_Otype_OFun,X4),X5)!=v_T____|~hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(X6,X3,X4,tc_Type_Otype)),X1),X7))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X6),X2),X4))|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))). % 0.10/0.40 cnf(i_0_297, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__types__1__1(X3,X4,X1,X2))|~c_Type_Otypings(X1,X5,X6)|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB)),X4)))). % 0.10/0.40 cnf(i_0_303, plain, (c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X1,X2,X3,X4),X1,tc_Type_Otype,tc_Type_Otype)=X2|~c_Type_Otypings(X3,X5,X6)|~hBOOL(hAPP(hAPP(c_Type_Otyping(X3),c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB)),X1))|~hBOOL(hAPP(hAPP(c_Type_Otyping(X3),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X7),X5,tc_Lambda_OdB,tc_Lambda_OdB)),X2)))). % 0.10/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.10/0.40 # Begin printing tableau % 0.10/0.40 # Found 3 steps % 0.10/0.40 cnf(i_0_442, negated_conjecture, (~c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB)), inference(start_rule)). % 0.10/0.40 cnf(i_0_463, plain, (~c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB)), inference(extension_rule, [i_0_420])). % 0.10/0.40 cnf(i_0_521, plain, (~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____)), inference(closure_rule, [i_0_441])). % 0.10/0.40 # End printing tableau % 0.10/0.40 # SZS output end % 0.10/0.40 # Branches closed with saturation will be marked with an "s" % 0.10/0.40 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux. % 0.10/0.40 # We now have 1 tableaux to operate on % 0.10/0.40 # Found closed tableau during pool population. % 0.10/0.40 # Proof search is over... % 0.10/0.40 # Freeing feature tree %------------------------------------------------------------------------------