%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n015.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 12:01:55 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 11:54:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.40 # No SInE strategy applied
% 0.11/0.40 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.11/0.40 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.11/0.40 #
% 0.11/0.40 # Presaturation interreduction done
% 0.11/0.40
% 0.11/0.40 # Proof found!
% 0.11/0.40 # SZS status Unsatisfiable
% 0.11/0.40 # SZS output start CNFRefutation
% 0.11/0.40 cnf(cls_conjecture_2, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_2)).
% 0.11/0.40 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)).
% 0.11/0.40 cnf(cls_conjecture_1, negated_conjecture, (c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X1),X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.11/0.40 cnf(c_0_3, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))), cls_conjecture_2).
% 0.11/0.40 cnf(c_0_4, axiom, (c_Suc(X1)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)), cls_Suc__eq__plus1_0).
% 0.11/0.40 cnf(c_0_5, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(v_ia,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(v_ja,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3, c_0_4]), c_0_4])).
% 0.11/0.40 cnf(c_0_6, negated_conjecture, (c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X1),X2))), cls_conjecture_1).
% 0.11/0.40 cnf(c_0_7, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5, c_0_6])]), ['proof']).
% 0.11/0.40 # SZS output end CNFRefutation
% 0.11/0.40 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------