%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 11:21:38 AM UTC 2026
% Result : Unsatisfiable 0.54s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n031.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 05:21:39 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.54/0.59 % Version : CSI_E---1.1
% 0.54/0.59 % Problem : theBenchmark.p
% 0.54/0.59 % Proof found!
% 0.54/0.59 # SZS status Unsatisfiable
% 0.54/0.59 % SZS output start Proof
% 0.54/0.59 cnf(cls_conjecture_1, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.54/0.59 cnf(cls_conjecture_0, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.54/0.59 cnf(cls_foldl__Nil_0, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_foldl__Nil_0)).
% 0.54/0.59 cnf(c_0_3, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))), inference(fof_simplification,[status(thm)],[cls_conjecture_1])).
% 0.54/0.59 cnf(c_0_4, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), cls_conjecture_0).
% 0.54/0.59 cnf(c_0_5, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2), cls_foldl__Nil_0).
% 0.54/0.59 cnf(c_0_6, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))), c_0_3).
% 0.54/0.59 cnf(c_0_7, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5]), c_0_6]), ['proof']).
% 0.54/0.59 % SZS output end Proof
% 0.54/0.59 % User time : 0.009 s
% 0.54/0.59 % System time : 0.003 s
% 0.54/0.59 % Total time : 0.012 s
% 0.54/0.59 % User time : 0.021 s
% 0.54/0.59 % System time : 0.007 s
% 0.54/0.59 % Total time : 0.028 s
% 0.54/0.59
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