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Etableau---0.67.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 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 : n012.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 12:01:21 PM UTC 2026

% Result   : Theorem 0.03s 0.31s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.29  % CPULimit : 300
% 0.03/0.29  % WCLimit  : 300
% 0.03/0.29  % DateTime : Fri Sep  4 22:26:57 UTC 2026
% 0.03/0.29  % CPUTime  : 
% 0.03/0.31  # No SInE strategy applied
% 0.03/0.31  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.03/0.31  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.03/0.31  #
% 0.03/0.31  # Presaturation interreduction done
% 0.03/0.31  
% 0.03/0.31  # Proof found!
% 0.03/0.31  # SZS status Theorem
% 0.03/0.31  # SZS output start CNFRefutation
% 0.03/0.31  fof(hilbert_and_1, conjecture, and_1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', hilbert_and_1)).
% 0.03/0.31  fof(and_1, axiom, (and_1<=>![X1, X2]:is_a_theorem(implies(and(X1,X2),X1))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', and_1)).
% 0.03/0.31  fof(kn2, axiom, (kn2<=>![X4, X5]:is_a_theorem(implies(and(X4,X5),X4))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', kn2)).
% 0.03/0.31  fof(rosser_kn2, axiom, kn2, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+5.ax', rosser_kn2)).
% 0.03/0.31  fof(c_0_4, negated_conjecture, ~(and_1), inference(assume_negation,[status(cth)],[hilbert_and_1])).
% 0.03/0.31  fof(c_0_5, plain, ![X33, X34]:((~and_1|is_a_theorem(implies(and(X33,X34),X33)))&(~is_a_theorem(implies(and(esk14_0,esk15_0),esk14_0))|and_1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and_1])])])])).
% 0.03/0.31  fof(c_0_6, negated_conjecture, ~and_1, inference(fof_simplification,[status(thm)],[c_0_4])).
% 0.03/0.31  fof(c_0_7, plain, ![X73, X74]:((~kn2|is_a_theorem(implies(and(X73,X74),X73)))&(~is_a_theorem(implies(and(esk34_0,esk35_0),esk34_0))|kn2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kn2])])])])).
% 0.03/0.31  cnf(c_0_8, plain, (and_1|~is_a_theorem(implies(and(esk14_0,esk15_0),esk14_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.03/0.31  cnf(c_0_9, negated_conjecture, (~and_1), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.03/0.31  cnf(c_0_10, plain, (is_a_theorem(implies(and(X1,X2),X1))|~kn2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.03/0.31  cnf(c_0_11, plain, (kn2), inference(split_conjunct,[status(thm)],[rosser_kn2])).
% 0.03/0.31  cnf(c_0_12, plain, (~is_a_theorem(implies(and(esk14_0,esk15_0),esk14_0))), inference(sr,[status(thm)],[c_0_8, c_0_9])).
% 0.03/0.31  cnf(c_0_13, plain, (is_a_theorem(implies(and(X1,X2),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.03/0.31  cnf(c_0_14, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])]), ['proof']).
% 0.03/0.31  # SZS output end CNFRefutation
% 0.03/0.31  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------