%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL748-1 : 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 11:21:36 AM UTC 2026
% Result : Unsatisfiable 0.39s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 09:05:53 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.14/0.42 start to proof:theBenchmark.p
% 0.39/0.49 % Version : CSI_E---1.1
% 0.39/0.49 % Problem : theBenchmark.p
% 0.39/0.49 % Proof found!
% 0.39/0.49 # SZS status Unsatisfiable
% 0.39/0.49 % SZS output start Proof
% 0.39/0.49 cnf(cls_Lambda_0, axiom, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Lambda_0)).
% 0.39/0.49 cnf(cls_lift_Osimps_I3_J_0, axiom, (c_Lambda_Olift(c_Lambda_OdB_OAbs(X1),X2)=c_Lambda_OdB_OAbs(c_Lambda_Olift(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_lift_Osimps_I3_J_0)).
% 0.39/0.49 cnf(cls_Suc__eq__plus1_0, axiom, (c_Suc(X1)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__eq__plus1_0)).
% 0.39/0.49 cnf(cls_conjecture_2, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_2)).
% 0.39/0.49 cnf(cls_conjecture_1, negated_conjecture, (c_InductTermi_OIT(c_Lambda_Olift(v_r,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.39/0.49 cnf(c_0_5, plain, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1)), inference(fof_simplification,[status(thm)],[cls_Lambda_0])).
% 0.39/0.49 cnf(c_0_6, axiom, (c_Lambda_Olift(c_Lambda_OdB_OAbs(X1),X2)=c_Lambda_OdB_OAbs(c_Lambda_Olift(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))), cls_lift_Osimps_I3_J_0).
% 0.39/0.49 cnf(c_0_7, axiom, (c_Suc(X1)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)), cls_Suc__eq__plus1_0).
% 0.39/0.49 cnf(c_0_8, plain, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1)), c_0_5).
% 0.39/0.49 cnf(c_0_9, plain, (c_Lambda_OdB_OAbs(c_Lambda_Olift(X1,c_Suc(X2)))=c_Lambda_Olift(c_Lambda_OdB_OAbs(X1),X2)), inference(rw,[status(thm)],[c_0_6, c_0_7])).
% 0.39/0.49 cnf(c_0_10, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia))), inference(fof_simplification,[status(thm)],[cls_conjecture_2])).
% 0.39/0.49 cnf(c_0_11, plain, (c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X1),X2))|~c_InductTermi_OIT(c_Lambda_Olift(X1,c_Suc(X2)))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.39/0.49 cnf(c_0_12, negated_conjecture, (c_InductTermi_OIT(c_Lambda_Olift(v_r,X1))), cls_conjecture_1).
% 0.39/0.49 cnf(c_0_13, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia))), c_0_10).
% 0.39/0.49 cnf(c_0_14, negated_conjecture, (c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),X1))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.39/0.49 cnf(c_0_15, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])]), ['proof']).
% 0.39/0.49 % SZS output end Proof
% 0.39/0.49 % User time : 0.021 s
% 0.39/0.49 % System time : 0.001 s
% 0.39/0.49 % Total time : 0.022 s
% 0.39/0.49 % User time : 0.030 s
% 0.39/0.49 % System time : 0.005 s
% 0.39/0.49 % Total time : 0.035 s
% 0.39/0.49
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