%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL794-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n002.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 11:21:42 AM UTC 2026
% Result : Unsatisfiable 1.04s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL794-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 10:04:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.43 start to proof:theBenchmark.p
% 1.04/0.59 % Version : CSI_E---1.1
% 1.04/0.59 % Problem : theBenchmark.p
% 1.04/0.59 % Proof found!
% 1.04/0.59 # SZS status Unsatisfiable
% 1.04/0.59 % SZS output start Proof
% 1.04/0.59 cnf(cls_App_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_App_0)).
% 1.04/0.59 cnf(cls_conjecture_0, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),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)).
% 1.04/0.59 cnf(cls_T_0, axiom, (v_T____=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),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_T_0)).
% 1.04/0.59 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)).
% 1.04/0.59 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)).
% 1.04/0.59 cnf(cls_lift__type_0, axiom, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_lift__type_0)).
% 1.04/0.59 cnf(cls_uT_0, axiom, (c_Type_Otyping(v_e____,v_u____,v_T____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_uT_0)).
% 1.04/0.59 cnf(c_0_7, 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_App_0])).
% 1.04/0.59 cnf(c_0_8, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),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])).
% 1.04/0.59 cnf(c_0_9, 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_7).
% 1.04/0.59 cnf(c_0_10, axiom, (v_T____=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), cls_T_0).
% 1.04/0.59 cnf(c_0_11, axiom, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2))), cls_typing_OVar_0).
% 1.04/0.59 cnf(c_0_12, axiom, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3), cls_shift__eq_0).
% 1.04/0.59 cnf(c_0_13, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),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_8).
% 1.04/0.59 cnf(c_0_14, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,X2,v_T____)|~c_Type_Otyping(X1,X3,v_T_H_H____)), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 1.04/0.59 cnf(c_0_15, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,X4),c_Lambda_OdB_OVar(X2),X3)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 1.04/0.59 cnf(c_0_16, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5)), inference(fof_simplification,[status(thm)],[cls_lift__type_0])).
% 1.04/0.59 cnf(c_0_17, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])])).
% 1.04/0.59 cnf(c_0_18, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5)), c_0_16).
% 1.04/0.59 cnf(c_0_19, axiom, (c_Type_Otyping(v_e____,v_u____,v_T____)), cls_uT_0).
% 1.04/0.59 cnf(c_0_20, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])]), ['proof']).
% 1.04/0.59 % SZS output end Proof
% 1.04/0.59 % User time : 0.100 s
% 1.04/0.59 % System time : 0.006 s
% 1.04/0.59 % Total time : 0.106 s
% 1.04/0.59 % User time : 0.110 s
% 1.04/0.59 % System time : 0.011 s
% 1.04/0.59 % Total time : 0.121 s
% 1.04/0.59
%------------------------------------------------------------------------------