%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL836-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n018.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 11:21:48 AM UTC 2026
% Result : Unsatisfiable 5.06s 1.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL836-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n018.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 17:19:34 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.22/0.46 start to proof:theBenchmark.p
% 5.06/1.34 % Version : CSI_E---1.1
% 5.06/1.34 % Problem : theBenchmark.p
% 5.06/1.34 % Proof found!
% 5.06/1.34 # SZS status Unsatisfiable
% 5.06/1.34 % SZS output start Proof
% 5.06/1.34 cnf(cls_SI1_0, axiom, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))|~c_Type_Otyping(X3,X1,v_T____)|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_SI1_0)).
% 5.06/1.34 cnf(cls_conjecture_0, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 5.06/1.34 cnf(cls_CHAINED_0_02, axiom, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_CHAINED_0_02)).
% 5.06/1.34 cnf(cls_uT_0, axiom, (c_Type_Otyping(v_e____,v_u____,v_T____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_uT_0)).
% 5.06/1.34 cnf(cls_uIT_0, axiom, (hBOOL(hAPP(c_InductTermi_OIT,v_u____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_uIT_0)).
% 5.06/1.34 cnf(c_0_5, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))|~c_Type_Otyping(X3,X1,v_T____)|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X4)), inference(fof_simplification,[status(thm)],[cls_SI1_0])).
% 5.06/1.34 cnf(c_0_6, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 5.06/1.34 cnf(c_0_7, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))|~c_Type_Otyping(X3,X1,v_T____)|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X4)), c_0_5).
% 5.06/1.34 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,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)), cls_CHAINED_0_02).
% 5.06/1.34 cnf(c_0_9, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))), c_0_6).
% 5.06/1.34 cnf(c_0_10, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X1),v_i____)))|~c_Type_Otyping(v_e____,X1,v_T____)|~hBOOL(hAPP(c_InductTermi_OIT,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 5.06/1.34 cnf(c_0_11, axiom, (c_Type_Otyping(v_e____,v_u____,v_T____)), cls_uT_0).
% 5.06/1.34 cnf(c_0_12, axiom, (hBOOL(hAPP(c_InductTermi_OIT,v_u____))), cls_uIT_0).
% 5.06/1.34 cnf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12])]), ['proof']).
% 5.06/1.34 % SZS output end Proof
% 5.06/1.34 % User time : 0.748 s
% 5.06/1.34 % System time : 0.043 s
% 5.06/1.34 % Total time : 0.791 s
% 5.06/1.34 % User time : 0.756 s
% 5.06/1.34 % System time : 0.046 s
% 5.06/1.34 % Total time : 0.802 s
% 5.06/1.34
%------------------------------------------------------------------------------