%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL778-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n009.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 11:21:40 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL778-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.33 % Computer : n009.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Fri Sep 4 16:30:06 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 0.24/0.55 % Version : CSI_E---1.1
% 0.24/0.55 % Problem : theBenchmark.p
% 0.24/0.55 % Proof found!
% 0.24/0.55 # SZS status Unsatisfiable
% 0.24/0.55 % SZS output start Proof
% 0.24/0.55 cnf(cls_conjecture_4, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_4)).
% 0.24/0.55 cnf(cls_conjecture_1, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.24/0.55 cnf(c_0_2, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), inference(fof_simplification,[status(thm)],[cls_conjecture_4])).
% 0.24/0.55 cnf(c_0_3, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), cls_conjecture_1).
% 0.24/0.55 cnf(c_0_4, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), c_0_2).
% 0.24/0.55 cnf(c_0_5, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_3, c_0_4]), ['proof']).
% 0.24/0.55 % SZS output end Proof
% 0.24/0.55 % User time : 0.005 s
% 0.24/0.55 % System time : 0.005 s
% 0.24/0.55 % Total time : 0.010 s
% 0.24/0.55 % User time : 0.013 s
% 0.24/0.55 % System time : 0.008 s
% 0.24/0.55 % Total time : 0.021 s
% 0.24/0.55
%------------------------------------------------------------------------------