%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 11:21:45 AM UTC 2026
% Result : Unsatisfiable 0.55s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.10/0.35 % Computer : n031.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 6 01:40:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.25/0.48 start to proof:theBenchmark.p
% 0.55/0.74 % Version : CSI_E---1.1
% 0.55/0.74 % Problem : theBenchmark.p
% 0.55/0.74 % Proof found!
% 0.55/0.74 # SZS status Unsatisfiable
% 0.55/0.74 % SZS output start Proof
% 0.55/0.74 cnf(cls_conjecture_0, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.55/0.74 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)).
% 0.55/0.74 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)).
% 0.55/0.74 cnf(c_0_3, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.55/0.74 cnf(c_0_4, axiom, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2))), cls_typing_OVar_0).
% 0.55/0.74 cnf(c_0_5, axiom, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3), cls_shift__eq_0).
% 0.55/0.74 cnf(c_0_6, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), c_0_3).
% 0.55/0.74 cnf(c_0_7, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,X4),c_Lambda_OdB_OVar(X2),X3)), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.55/0.74 cnf(c_0_8, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])]), ['proof']).
% 0.55/0.74 % SZS output end Proof
% 0.55/0.74 % User time : 0.151 s
% 0.55/0.74 % System time : 0.018 s
% 0.55/0.74 % Total time : 0.169 s
% 0.55/0.74 % User time : 0.572 s
% 0.55/0.74 % System time : 0.050 s
% 0.55/0.74 % Total time : 0.622 s
% 0.55/0.74
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