%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL777-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n029.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 0.25s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL777-1 : 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 : n029.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 : Sun Sep 6 01:44:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.47 start to proof:theBenchmark.p
% 0.25/0.56 % Version : CSI_E---1.1
% 0.25/0.56 % Problem : theBenchmark.p
% 0.25/0.56 % Proof found!
% 0.25/0.56 # SZS status Unsatisfiable
% 0.25/0.56 % SZS output start Proof
% 0.25/0.56 cnf(cls_conjecture_4, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_4)).
% 0.25/0.56 cnf(cls_app__last_0, axiom, (hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)=c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_app__last_0)).
% 0.25/0.56 cnf(cls_conjecture_1, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,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/sandbox/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.25/0.56 cnf(c_0_3, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), inference(fof_simplification,[status(thm)],[cls_conjecture_4])).
% 0.25/0.56 cnf(c_0_4, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), c_0_3).
% 0.25/0.56 cnf(c_0_5, axiom, (hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)=c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)), cls_app__last_0).
% 0.25/0.56 cnf(c_0_6, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,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).
% 0.25/0.56 cnf(c_0_7, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5]), c_0_6])]), ['proof']).
% 0.25/0.56 % SZS output end Proof
% 0.25/0.56 % User time : 0.019 s
% 0.25/0.56 % System time : 0.003 s
% 0.25/0.56 % Total time : 0.022 s
% 0.25/0.56 % User time : 0.027 s
% 0.25/0.56 % System time : 0.008 s
% 0.25/0.56 % Total time : 0.036 s
% 0.25/0.56
%------------------------------------------------------------------------------