%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n002.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 11:21:47 AM UTC 2026
% Result : Unsatisfiable 0.79s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 09:29:05 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.24/0.46 start to proof:theBenchmark.p
% 0.79/0.61 % Version : CSI_E---1.1
% 0.79/0.61 % Problem : theBenchmark.p
% 0.79/0.61 % Proof found!
% 0.79/0.61 # SZS status Unsatisfiable
% 0.79/0.61 % SZS output start Proof
% 0.79/0.61 cnf(cls_Cons_I1_J_0, axiom, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X1),X2)))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),v_T____))|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),v_T____)),v_a____),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_Cons_I1_J_0)).
% 0.79/0.61 cnf(cls_conjecture_3, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_3)).
% 0.79/0.61 cnf(cls_conjecture_0, negated_conjecture, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.79/0.61 cnf(cls_conjecture_2, negated_conjecture, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_2)).
% 0.79/0.61 cnf(cls_conjecture_1, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,v_xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.79/0.61 cnf(c_0_5, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X1),X2)))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),v_T____))|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),v_T____)),v_a____),X4))), inference(fof_simplification,[status(thm)],[cls_Cons_I1_J_0])).
% 0.79/0.61 cnf(c_0_6, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)))), inference(fof_simplification,[status(thm)],[cls_conjecture_3])).
% 0.79/0.61 cnf(c_0_7, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X1),X2)))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),v_T____))|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),v_T____)),v_a____),X4))), c_0_5).
% 0.79/0.61 cnf(c_0_8, negated_conjecture, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa))), cls_conjecture_0).
% 0.79/0.61 cnf(c_0_9, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)))), c_0_6).
% 0.79/0.61 cnf(c_0_10, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X1),v_xc)))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),X1),v_T____))|~hBOOL(hAPP(c_InductTermi_OIT,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.79/0.61 cnf(c_0_11, negated_conjecture, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))), cls_conjecture_2).
% 0.79/0.61 cnf(c_0_12, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,v_xb))), cls_conjecture_1).
% 0.79/0.61 cnf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12])]), ['proof']).
% 0.79/0.61 % SZS output end Proof
% 0.79/0.61 % User time : 0.066 s
% 0.79/0.61 % System time : 0.008 s
% 0.79/0.61 % Total time : 0.074 s
% 0.79/0.61 % User time : 0.247 s
% 0.79/0.61 % System time : 0.039 s
% 0.79/0.61 % Total time : 0.286 s
% 0.79/0.61
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