%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n026.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 0.47s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n026.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 : Sat Sep 5 21:18:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.23/0.48 start to proof:theBenchmark.p
% 0.47/0.62 % Version : CSI_E---1.1
% 0.47/0.62 % Problem : theBenchmark.p
% 0.47/0.62 % Proof found!
% 0.47/0.62 # SZS status Unsatisfiable
% 0.47/0.62 % SZS output start Proof
% 0.47/0.62 cnf(cls_subject__reduction_0, axiom, (c_Type_Otyping(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))|~c_Type_Otyping(X1,X4,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_subject__reduction_0)).
% 0.47/0.62 cnf(cls_CHAINED_0, axiom, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 0.47/0.62 cnf(cls_conjecture_0, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.47/0.62 cnf(cls_T_0, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_T_0)).
% 0.47/0.62 cnf(c_0_4, plain, (c_Type_Otyping(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))|~c_Type_Otyping(X1,X4,X3)), inference(fof_simplification,[status(thm)],[cls_subject__reduction_0])).
% 0.47/0.62 cnf(c_0_5, plain, (c_Type_Otyping(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2))|~c_Type_Otyping(X1,X4,X3)), c_0_4).
% 0.47/0.62 cnf(c_0_6, axiom, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)))), cls_CHAINED_0).
% 0.47/0.62 cnf(c_0_7, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.47/0.62 cnf(c_0_8, plain, (c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2)), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 0.47/0.62 cnf(c_0_9, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), cls_T_0).
% 0.47/0.62 cnf(c_0_10, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), c_0_7).
% 0.47/0.62 cnf(c_0_11, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10]), ['proof']).
% 0.47/0.62 % SZS output end Proof
% 0.47/0.62 % User time : 0.065 s
% 0.47/0.62 % System time : 0.018 s
% 0.47/0.62 % Total time : 0.083 s
% 0.47/0.62 % User time : 0.077 s
% 0.47/0.62 % System time : 0.023 s
% 0.47/0.62 % Total time : 0.100 s
% 0.47/0.62
%------------------------------------------------------------------------------