%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n006.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 11:21:41 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 18:18:31 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.43 start to proof:theBenchmark.p
% 0.31/0.50 % Version : CSI_E---1.1
% 0.31/0.50 % Problem : theBenchmark.p
% 0.31/0.50 % Proof found!
% 0.31/0.50 # SZS status Unsatisfiable
% 0.31/0.50 % SZS output start Proof
% 0.31/0.50 cnf(cls_conjecture_0, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.31/0.50 cnf(cls_True_0, axiom, (v_n____=v_i____), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_True_0)).
% 0.31/0.50 cnf(cls_nT_0, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_nT_0)).
% 0.31/0.50 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)).
% 0.31/0.50 cnf(cls_Cons_0, axiom, (v_rs____=c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_Cons_0)).
% 0.31/0.50 cnf(c_0_5, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.31/0.50 cnf(c_0_6, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), c_0_5).
% 0.31/0.50 cnf(c_0_7, axiom, (v_n____=v_i____), cls_True_0).
% 0.31/0.50 cnf(c_0_8, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), cls_nT_0).
% 0.31/0.50 cnf(c_0_9, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), inference(rw,[status(thm)],[c_0_6, c_0_7])).
% 0.31/0.50 cnf(c_0_10, 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).
% 0.31/0.50 cnf(c_0_11, axiom, (v_rs____=c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)), cls_Cons_0).
% 0.31/0.50 cnf(c_0_12, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), inference(rw,[status(thm)],[c_0_8, c_0_7])).
% 0.31/0.50 cnf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12])]), ['proof']).
% 0.31/0.50 % SZS output end Proof
% 0.31/0.50 % User time : 0.021 s
% 0.31/0.50 % System time : 0.008 s
% 0.31/0.50 % Total time : 0.030 s
% 0.31/0.50 % User time : 0.064 s
% 0.31/0.50 % System time : 0.023 s
% 0.31/0.50 % Total time : 0.087 s
% 0.31/0.50
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