%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL825-1 : 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 : n029.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 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL825-1 : 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
% 0.11/0.37 % Computer : n029.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 23:59:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.43 # No SInE strategy applied
% 0.11/0.43 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.43 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.11/0.43 #
% 0.11/0.43 # Presaturation interreduction done
% 0.11/0.43
% 0.11/0.43 # Proof found!
% 0.11/0.43 # SZS status Unsatisfiable
% 0.11/0.43 # SZS output start CNFRefutation
% 0.11/0.43 cnf(cls_conjecture_0, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.11/0.43 cnf(cls_Nil__is__map__conv_1, axiom, (c_List_Olist_ONil(X1)=c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Nil__is__map__conv_1)).
% 0.11/0.43 cnf(cls_listsp_ONil_0, axiom, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_listsp_ONil_0)).
% 0.11/0.43 cnf(c_0_3, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)), cls_conjecture_0).
% 0.11/0.43 cnf(c_0_4, axiom, (c_List_Olist_ONil(X1)=c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)), cls_Nil__is__map__conv_1).
% 0.11/0.43 cnf(c_0_5, axiom, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2)), cls_listsp_ONil_0).
% 0.11/0.43 cnf(c_0_6, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3, c_0_4]), c_0_5])]), ['proof']).
% 0.11/0.43 # SZS output end CNFRefutation
% 0.11/0.43 # Training examples: 0 positive, 0 negative
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