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Etableau---0.67.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL849-1 : 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 : n014.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 12:02:09 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL849-1 : 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
% 0.10/0.35  % Computer : n014.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sat Sep  5 04:34:12 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.13/0.45  # No SInE strategy applied
% 0.13/0.45  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.13/0.45  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.45  #
% 0.13/0.45  # Presaturation interreduction done
% 0.13/0.45  
% 0.13/0.45  # Proof found!
% 0.13/0.45  # SZS status Unsatisfiable
% 0.13/0.45  # SZS output start CNFRefutation
% 0.13/0.45  cnf(cls_conjecture_0, negated_conjecture, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.13/0.45  cnf(cls_foldl__Cons_0, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_foldl__Cons_0)).
% 0.13/0.45  cnf(cls_foldl__Nil_0, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_foldl__Nil_0)).
% 0.13/0.45  cnf(c_0_3, negated_conjecture, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))), cls_conjecture_0).
% 0.13/0.45  cnf(c_0_4, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5)), cls_foldl__Cons_0).
% 0.13/0.45  cnf(c_0_5, axiom, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2), cls_foldl__Nil_0).
% 0.13/0.45  cnf(c_0_6, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3, c_0_4]), c_0_5])]), ['proof']).
% 0.13/0.45  # SZS output end CNFRefutation
% 0.13/0.45  # Training examples: 0 positive, 0 negative
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