%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL849-1 : 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 0.76s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n004.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 04:34:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.76/0.58 % Version : CSI_E---1.1
% 0.76/0.58 % Problem : theBenchmark.p
% 0.76/0.58 % Proof found!
% 0.76/0.58 # SZS status Unsatisfiable
% 0.76/0.58 % SZS output start Proof
% 0.76/0.58 cnf(cls_conjecture_0, negated_conjecture, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.76/0.58 cnf(cls_foldl__Cons_0, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_foldl__Cons_0)).
% 0.76/0.58 cnf(cls_foldl__Nil_0, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_foldl__Nil_0)).
% 0.76/0.58 cnf(c_0_3, negated_conjecture, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.76/0.58 cnf(c_0_4, negated_conjecture, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))), c_0_3).
% 0.76/0.58 cnf(c_0_5, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5)), cls_foldl__Cons_0).
% 0.76/0.58 cnf(c_0_6, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2), cls_foldl__Nil_0).
% 0.76/0.58 cnf(c_0_7, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4, c_0_5]), c_0_6])]), ['proof']).
% 0.76/0.58 % SZS output end Proof
% 0.76/0.58 % User time : 0.036 s
% 0.76/0.58 % System time : 0.006 s
% 0.76/0.58 % Total time : 0.042 s
% 0.76/0.58 % User time : 0.047 s
% 0.76/0.58 % System time : 0.007 s
% 0.76/0.58 % Total time : 0.055 s
% 0.76/0.58
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