%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n004.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 11:21:48 AM UTC 2026
% Result : Unsatisfiable 63.43s 9.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 16:04:14 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 63.43/9.73 % Version : CSI_E---1.1
% 63.43/9.73 % Problem : theBenchmark.p
% 63.43/9.73 % Proof found!
% 63.43/9.73 # SZS status Unsatisfiable
% 63.43/9.73 % SZS output start Proof
% 63.43/9.73 cnf(cls_CHAINED_0, axiom, (c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 63.43/9.73 cnf(cls_COMBC__def_0, axiom, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_COMBC__def_0)).
% 63.43/9.73 cnf(cls_map__eq__Cons__conv_3, axiom, (c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_map__eq__Cons__conv_3)).
% 63.43/9.73 cnf(cls_conjecture_0, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 63.43/9.73 cnf(c_0_4, axiom, (c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)), cls_CHAINED_0).
% 63.43/9.73 cnf(c_0_5, axiom, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2)), cls_COMBC__def_0).
% 63.43/9.73 cnf(c_0_6, axiom, (c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5)), cls_map__eq__Cons__conv_3).
% 63.43/9.73 cnf(c_0_7, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 63.43/9.73 cnf(c_0_8, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_COMBC(c_Lambda_Osubst,v_u____,X1,X2,X3),v_a____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 63.43/9.73 cnf(c_0_9, plain, (c_List_Omap(c_COMBC(X1,X2,X3,X4,X5),c_List_Olist_OCons(X6,X7,X8),X8,X9)=c_List_Olist_OCons(hAPP(hAPP(X1,X6),X2),c_List_Omap(c_COMBC(X1,X2,X3,X4,X5),X7,X8,X9),X9)), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 63.43/9.73 cnf(c_0_10, negated_conjecture, (~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)), c_0_7).
% 63.43/9.73 cnf(c_0_11, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10]), ['proof']).
% 63.43/9.73 % SZS output end Proof
% 63.43/9.73 % User time : 8.779 s
% 63.43/9.73 % System time : 0.249 s
% 63.43/9.73 % Total time : 9.028 s
% 63.43/9.73 % User time : 34.534 s
% 63.43/9.73 % System time : 1.123 s
% 63.43/9.73 % Total time : 35.657 s
% 63.43/9.73
%------------------------------------------------------------------------------