%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL784-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n015.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 0.53s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL784-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : java -jar mcs_scs.jar %d %s
% 0.15/0.42 % Computer : n015.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 4 23:16:26 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.27/0.53 start to proof:theBenchmark.p
% 0.53/0.62 % Version : CSI_E---1.1
% 0.53/0.62 % Problem : theBenchmark.p
% 0.53/0.62 % Proof found!
% 0.53/0.62 # SZS status Unsatisfiable
% 0.53/0.62 % SZS output start Proof
% 0.53/0.62 cnf(cls_conjecture_0, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.53/0.62 cnf(cls_True_0, axiom, (v_n____=v_i____), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_True_0)).
% 0.53/0.62 cnf(cls_Var__eq__apps__conv_2, axiom, (c_Lambda_OdB_OVar(X1)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_Var__eq__apps__conv_2)).
% 0.53/0.62 cnf(cls_Nil_0, axiom, (v_rs____=c_List_Olist_ONil(tc_Lambda_OdB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_Nil_0)).
% 0.53/0.62 cnf(cls_subst__eq_0, axiom, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_subst__eq_0)).
% 0.53/0.62 cnf(cls_uIT_0, axiom, (hBOOL(hAPP(c_InductTermi_OIT,v_u____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_uIT_0)).
% 0.53/0.62 cnf(c_0_6, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.53/0.62 cnf(c_0_7, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))), c_0_6).
% 0.53/0.62 cnf(c_0_8, axiom, (v_n____=v_i____), cls_True_0).
% 0.53/0.62 cnf(c_0_9, axiom, (c_Lambda_OdB_OVar(X1)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)), cls_Var__eq__apps__conv_2).
% 0.53/0.62 cnf(c_0_10, axiom, (v_rs____=c_List_Olist_ONil(tc_Lambda_OdB)), cls_Nil_0).
% 0.53/0.62 cnf(c_0_11, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____)))), inference(rw,[status(thm)],[c_0_7, c_0_8])).
% 0.53/0.62 cnf(c_0_12, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(X1)), inference(rw,[status(thm)],[c_0_9, c_0_10])).
% 0.53/0.62 cnf(c_0_13, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_n____)),v_u____),v_n____)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.53/0.62 cnf(c_0_14, axiom, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2), cls_subst__eq_0).
% 0.53/0.62 cnf(c_0_15, axiom, (hBOOL(hAPP(c_InductTermi_OIT,v_u____))), cls_uIT_0).
% 0.53/0.62 cnf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), ['proof']).
% 0.53/0.62 % SZS output end Proof
% 0.53/0.62 % User time : 0.018 s
% 0.53/0.62 % System time : 0.009 s
% 0.53/0.62 % Total time : 0.027 s
% 0.53/0.62 % User time : 0.033 s
% 0.53/0.62 % System time : 0.014 s
% 0.53/0.62 % Total time : 0.047 s
% 0.53/0.62
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