%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 0.54s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 15:23:54 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.23/0.46 start to proof:theBenchmark.p
% 0.54/0.68 % Version : CSI_E---1.1
% 0.54/0.68 % Problem : theBenchmark.p
% 0.54/0.68 % Proof found!
% 0.54/0.68 # SZS status Unsatisfiable
% 0.54/0.68 % SZS output start Proof
% 0.54/0.68 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),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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_conjecture_0)).
% 0.54/0.68 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)).
% 0.54/0.68 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)).
% 0.54/0.68 cnf(cls_uT_0, axiom, (c_Type_Otyping(v_e____,v_u____,v_T____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_uT_0)).
% 0.54/0.68 cnf(c_0_4, 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)),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)))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.54/0.68 cnf(c_0_5, 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)),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)))), c_0_4).
% 0.54/0.68 cnf(c_0_6, 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).
% 0.54/0.68 cnf(c_0_7, 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])).
% 0.54/0.68 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),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____)), inference(rw,[status(thm)],[c_0_5, c_0_6])).
% 0.54/0.68 cnf(c_0_9, 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_7).
% 0.54/0.68 cnf(c_0_10, axiom, (c_Type_Otyping(v_e____,v_u____,v_T____)), cls_uT_0).
% 0.54/0.68 cnf(c_0_11, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])]), ['proof']).
% 0.54/0.68 % SZS output end Proof
% 0.54/0.68 % User time : 0.134 s
% 0.54/0.68 % System time : 0.007 s
% 0.54/0.68 % Total time : 0.141 s
% 0.54/0.68 % User time : 0.148 s
% 0.54/0.68 % System time : 0.010 s
% 0.54/0.68 % Total time : 0.157 s
% 0.54/0.68
%------------------------------------------------------------------------------