%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL852-1 : 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 11:21:50 AM UTC 2026
% Result : Unsatisfiable 53.47s 8.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.11/0.35 % Computer : n004.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri Sep 4 22:10:29 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 53.47/8.63 % Version : CSI_E---1.1
% 53.47/8.63 % Problem : theBenchmark.p
% 53.47/8.63 % Proof found!
% 53.47/8.63 # SZS status Unsatisfiable
% 53.47/8.63 % SZS output start Proof
% 53.47/8.63 cnf(cls_typing_OApp_0, axiom, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X3,X5)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_typing_OApp_0)).
% 53.47/8.63 cnf(cls_typing_OVar_0, axiom, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_typing_OVar_0)).
% 53.47/8.63 cnf(cls_shift__eq_0, axiom, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_shift__eq_0)).
% 53.47/8.63 cnf(cls_conjecture_0, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 53.47/8.63 cnf(cls_CHAINED_0, axiom, (c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 53.47/8.63 cnf(c_0_5, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X3,X5)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4))), inference(fof_simplification,[status(thm)],[cls_typing_OApp_0])).
% 53.47/8.63 cnf(c_0_6, axiom, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2))), cls_typing_OVar_0).
% 53.47/8.63 cnf(c_0_7, axiom, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3), cls_shift__eq_0).
% 53.47/8.63 cnf(c_0_8, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X3,X5)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4))), c_0_5).
% 53.47/8.63 cnf(c_0_9, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,X4),c_Lambda_OdB_OVar(X2),X3)), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 53.47/8.63 cnf(c_0_10, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 53.47/8.63 cnf(c_0_11, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2)),X6),X4)|~c_Type_Otyping(c_Type_Oshift(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5),X6,X3)), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 53.47/8.63 cnf(c_0_12, axiom, (c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____)), cls_CHAINED_0).
% 53.47/8.63 cnf(c_0_13, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)), c_0_10).
% 53.47/8.63 cnf(c_0_14, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13]), ['proof']).
% 53.47/8.63 % SZS output end Proof
% 53.47/8.63 % User time : 7.248 s
% 53.47/8.63 % System time : 0.206 s
% 53.47/8.63 % Total time : 7.454 s
% 53.47/8.63 % User time : 7.259 s
% 53.47/8.63 % System time : 0.206 s
% 53.47/8.63 % Total time : 7.465 s
% 53.47/8.63
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