%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n004.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 11:21:42 AM UTC 2026
% Result : Unsatisfiable 0.52s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 00:05:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.24/0.48 start to proof:theBenchmark.p
% 0.52/0.60 % Version : CSI_E---1.1
% 0.52/0.60 % Problem : theBenchmark.p
% 0.52/0.60 % Proof found!
% 0.52/0.60 # SZS status Unsatisfiable
% 0.52/0.60 % SZS output start Proof
% 0.52/0.60 cnf(cls_conjecture_0, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.52/0.60 cnf(cls_app__Var__IT_0, axiom, (c_InductTermi_OIT(c_Lambda_OdB_OApp(X1,c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_app__Var__IT_0)).
% 0.52/0.60 cnf(cls_CHAINED_0, axiom, (c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 0.52/0.60 cnf(c_0_3, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.52/0.60 cnf(c_0_4, plain, (c_InductTermi_OIT(c_Lambda_OdB_OApp(X1,c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1)), inference(fof_simplification,[status(thm)],[cls_app__Var__IT_0])).
% 0.52/0.60 cnf(c_0_5, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))))), c_0_3).
% 0.52/0.60 cnf(c_0_6, plain, (c_InductTermi_OIT(c_Lambda_OdB_OApp(X1,c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1)), c_0_4).
% 0.52/0.60 cnf(c_0_7, axiom, (c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)))), cls_CHAINED_0).
% 0.52/0.60 cnf(c_0_8, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_7])]), ['proof']).
% 0.52/0.60 % SZS output end Proof
% 0.52/0.60 % User time : 0.012 s
% 0.52/0.60 % System time : 0.005 s
% 0.52/0.60 % Total time : 0.016 s
% 0.52/0.60 % User time : 0.046 s
% 0.52/0.60 % System time : 0.009 s
% 0.52/0.60 % Total time : 0.055 s
% 0.52/0.60
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