%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n019.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 0.25s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 03:19:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.25/0.47 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_1, negated_conjecture, (~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.25/0.56 cnf(cls_IT__implies__termi_0, axiom, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_IT__implies__termi_0)).
% 0.25/0.56 cnf(cls_type__implies__IT_0, axiom, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(X2,X1,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_type__implies__IT_0)).
% 0.25/0.56 cnf(cls_conjecture_0, negated_conjecture, (c_Type_Otyping(v_e,v_t,v_T)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.25/0.56 cnf(c_0_4, negated_conjecture, (~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB)), inference(fof_simplification,[status(thm)],[cls_conjecture_1])).
% 0.25/0.56 cnf(c_0_5, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1))), inference(fof_simplification,[status(thm)],[cls_IT__implies__termi_0])).
% 0.25/0.56 cnf(c_0_6, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(X2,X1,X3)), inference(fof_simplification,[status(thm)],[cls_type__implies__IT_0])).
% 0.25/0.56 cnf(c_0_7, negated_conjecture, (~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB)), c_0_4).
% 0.25/0.56 cnf(c_0_8, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1))), c_0_5).
% 0.25/0.56 cnf(c_0_9, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(X2,X1,X3)), c_0_6).
% 0.25/0.56 cnf(c_0_10, negated_conjecture, (c_Type_Otyping(v_e,v_t,v_T)), cls_conjecture_0).
% 0.25/0.56 cnf(c_0_11, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,v_t))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.25/0.56 cnf(c_0_12, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), ['proof']).
% 0.25/0.56 % SZS output end Proof
% 0.25/0.56 % User time : 0.009 s
% 0.25/0.56 % System time : 0.002 s
% 0.25/0.56 % Total time : 0.011 s
% 0.25/0.56 % User time : 0.015 s
% 0.25/0.56 % System time : 0.005 s
% 0.25/0.56 % Total time : 0.020 s
% 0.25/0.56
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