%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n006.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 11:21:47 AM UTC 2026
% Result : Unsatisfiable 0.57s 0.56s
% 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.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 23:57:46 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.24/0.46 start to proof:theBenchmark.p
% 0.57/0.56 % Version : CSI_E---1.1
% 0.57/0.56 % Problem : theBenchmark.p
% 0.57/0.56 % Proof found!
% 0.57/0.56 # SZS status Unsatisfiable
% 0.57/0.56 % SZS output start Proof
% 0.57/0.56 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/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.57/0.56 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/sandbox2/benchmark/theBenchmark.p', cls_Nil__is__map__conv_1)).
% 0.57/0.56 cnf(cls_listsp_ONil_0, axiom, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_listsp_ONil_0)).
% 0.57/0.56 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)), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.57/0.56 cnf(c_0_4, 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)), c_0_3).
% 0.57/0.56 cnf(c_0_5, axiom, (c_List_Olist_ONil(X1)=c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)), cls_Nil__is__map__conv_1).
% 0.57/0.56 cnf(c_0_6, axiom, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2)), cls_listsp_ONil_0).
% 0.57/0.56 cnf(c_0_7, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4, c_0_5]), c_0_6])]), ['proof']).
% 0.57/0.56 % SZS output end Proof
% 0.57/0.56 % User time : 0.010 s
% 0.57/0.56 % System time : 0.003 s
% 0.57/0.56 % Total time : 0.013 s
% 0.57/0.56 % User time : 0.026 s
% 0.57/0.56 % System time : 0.008 s
% 0.57/0.56 % Total time : 0.034 s
% 0.57/0.56
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