%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL465+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 : n005.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 12:01:18 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 : LCL465+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
% 0.11/0.35 % Computer : n005.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri Sep 4 21:20:35 UTC 2026
% 0.11/0.35 % 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(hilbert_implies_3, conjecture, implies_3, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_implies_3)).
% 0.13/0.39 fof(implies_3, axiom, (implies_3<=>![X1, X2, X3]:is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', implies_3)).
% 0.13/0.39 fof(cn1, axiom, (cn1<=>![X4, X5, X6]:is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', cn1)).
% 0.13/0.39 fof(luka_cn1, axiom, cn1, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+3.ax', luka_cn1)).
% 0.13/0.39 fof(c_0_4, negated_conjecture, ~(implies_3), inference(assume_negation,[status(cth)],[hilbert_implies_3])).
% 0.13/0.39 fof(c_0_5, plain, ![X27, X28, X29]:((~implies_3|is_a_theorem(implies(implies(X27,X28),implies(implies(X28,X29),implies(X27,X29)))))&(~is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0))))|implies_3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[implies_3])])])])).
% 0.13/0.39 fof(c_0_6, negated_conjecture, ~implies_3, inference(fof_simplification,[status(thm)],[c_0_4])).
% 0.13/0.39 fof(c_0_7, plain, ![X83, X84, X85]:((~cn1|is_a_theorem(implies(implies(X83,X84),implies(implies(X84,X85),implies(X83,X85)))))&(~is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0))))|cn1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn1])])])])).
% 0.13/0.39 cnf(c_0_8, plain, (implies_3|~is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.39 cnf(c_0_9, negated_conjecture, (~implies_3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.13/0.39 cnf(c_0_10, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))|~cn1), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.13/0.39 cnf(c_0_11, plain, (cn1), inference(split_conjunct,[status(thm)],[luka_cn1])).
% 0.13/0.39 cnf(c_0_12, plain, (~is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0))))), inference(sr,[status(thm)],[c_0_8, c_0_9])).
% 0.13/0.39 cnf(c_0_13, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), 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
%------------------------------------------------------------------------------