%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL855-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n008.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 11:21:51 AM UTC 2026
% Result : Unsatisfiable 0.49s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL855-1 : 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 : n008.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 : Fri Sep 4 18:36:08 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.29/0.51 start to proof:theBenchmark.p
% 0.49/0.63 % Version : CSI_E---1.1
% 0.49/0.63 % Problem : theBenchmark.p
% 0.49/0.63 % Proof found!
% 0.49/0.63 # SZS status Unsatisfiable
% 0.49/0.63 % SZS output start Proof
% 0.49/0.63 cnf(cls_conjecture_0, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.49/0.63 cnf(cls_CHAINED_0, axiom, (c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 0.49/0.63 cnf(cls_subst__App_0, axiom, (c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4)=c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_subst__App_0)).
% 0.49/0.63 cnf(cls_subst__eq_0, axiom, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_subst__eq_0)).
% 0.49/0.63 cnf(cls_subst__lift_0, axiom, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_subst__lift_0)).
% 0.49/0.63 cnf(c_0_5, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____))), inference(fof_simplification,[status(thm)],[cls_conjecture_0])).
% 0.49/0.63 cnf(c_0_6, axiom, (c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat)))), cls_CHAINED_0).
% 0.49/0.63 cnf(c_0_7, axiom, (c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4)=c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4))), cls_subst__App_0).
% 0.49/0.63 cnf(c_0_8, axiom, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2), cls_subst__eq_0).
% 0.49/0.63 cnf(c_0_9, axiom, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1), cls_subst__lift_0).
% 0.49/0.63 cnf(c_0_10, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____))), c_0_5).
% 0.49/0.63 cnf(c_0_11, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7]), c_0_8]), c_0_9]), c_0_10]), ['proof']).
% 0.49/0.63 % SZS output end Proof
% 0.49/0.63 % User time : 0.017 s
% 0.49/0.63 % System time : 0.005 s
% 0.49/0.63 % Total time : 0.022 s
% 0.49/0.63 % User time : 0.078 s
% 0.49/0.63 % System time : 0.018 s
% 0.49/0.63 % Total time : 0.096 s
% 0.49/0.63
%------------------------------------------------------------------------------