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Etableau---0.67.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL455+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 : n019.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 12:01:17 PM UTC 2026

% Result   : Theorem 0.13s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.07/0.35  % Computer : n019.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Sat Sep  5 06:31:08 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.13/0.39  # No SInE strategy applied
% 0.13/0.39  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.13/0.39  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.39  #
% 0.13/0.39  # Presaturation interreduction done
% 0.13/0.39  
% 0.13/0.39  # Proof found!
% 0.13/0.39  # SZS status Theorem
% 0.13/0.39  # SZS output start CNFRefutation
% 0.13/0.39  fof(principia_r2, conjecture, r2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', principia_r2)).
% 0.13/0.39  fof(r2, axiom, (r2<=>![X4, X5]:is_a_theorem(implies(X5,or(X4,X5)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', r2)).
% 0.13/0.39  fof(or_2, axiom, (or_2<=>![X1, X2]:is_a_theorem(implies(X2,or(X1,X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', or_2)).
% 0.13/0.39  fof(hilbert_or_2, axiom, or_2, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_or_2)).
% 0.13/0.39  fof(c_0_4, negated_conjecture, ~(r2), inference(assume_negation,[status(cth)],[principia_r2])).
% 0.13/0.39  fof(c_0_5, plain, ![X97, X98]:((~r2|is_a_theorem(implies(X98,or(X97,X98))))&(~is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))|r2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r2])])])])).
% 0.13/0.39  fof(c_0_6, negated_conjecture, ~r2, inference(fof_simplification,[status(thm)],[c_0_4])).
% 0.13/0.39  fof(c_0_7, plain, ![X49, X50]:((~or_2|is_a_theorem(implies(X50,or(X49,X50))))&(~is_a_theorem(implies(esk23_0,or(esk22_0,esk23_0)))|or_2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[or_2])])])])).
% 0.13/0.39  cnf(c_0_8, plain, (r2|~is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.39  cnf(c_0_9, negated_conjecture, (~r2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.13/0.39  cnf(c_0_10, plain, (is_a_theorem(implies(X1,or(X2,X1)))|~or_2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.13/0.39  cnf(c_0_11, plain, (or_2), inference(split_conjunct,[status(thm)],[hilbert_or_2])).
% 0.13/0.39  cnf(c_0_12, plain, (~is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))), inference(sr,[status(thm)],[c_0_8, c_0_9])).
% 0.13/0.39  cnf(c_0_13, plain, (is_a_theorem(implies(X1,or(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.13/0.39  cnf(c_0_14, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])]), ['proof']).
% 0.13/0.39  # SZS output end CNFRefutation
% 0.13/0.39  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------