%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 : n020.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 12:01:33 PM UTC 2026
% Result : Theorem 0.11s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.07/0.33 % Computer : n020.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 05:00:57 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.11/0.37 # No SInE strategy applied
% 0.11/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.11/0.37 #
% 0.11/0.37 # Presaturation interreduction done
% 0.11/0.37
% 0.11/0.37 # Proof found!
% 0.11/0.37 # SZS status Theorem
% 0.11/0.37 # SZS output start CNFRefutation
% 0.11/0.37 fof(main, conjecture, ~(?[X1]:~((~((![X2]:(~(r1(X1,X2))|~((p2(X2)&![X1]:(~(r1(X2,X1))|p2(X1))))|p1(X2))|![X2]:(~(r1(X1,X2))|p2(X2)|~(((p1(X2)&![X1]:(~(r1(X2,X1))|p1(X1)))&p1(X2))))|~(((![X2]:(~(r1(X1,X2))|![X1]:(~(r1(X2,X1))|~((p2(X1)&![X2]:(~(r1(X1,X2))|p2(X2))))|p1(X1))|p2(X2)|~(((p1(X2)&![X1]:(~(r1(X2,X1))|p1(X1)))&p1(X2))))&![X2]:(~(r1(X1,X2))|~((p2(X2)&![X1]:(~(r1(X2,X1))|p2(X1))))|p1(X2)|![X1]:(~(r1(X2,X1))|p2(X1)|~(((p1(X1)&![X2]:(~(r1(X1,X2))|p1(X2)))&p1(X1))))))&![X2]:(~(r1(X1,X2))|~((p2(X2)&![X1]:(~(r1(X2,X1))|p2(X1))))|p1(X2)|p2(X2)|~(((p1(X2)&![X1]:(~(r1(X2,X1))|p1(X1)))&p1(X2))))))))|![X2]:(~(r1(X1,X2))|p1(X2)|~((![X1]:(~(r1(X2,X1))|p1(X1))&p1(X2))))|![X2]:(~(r1(X1,X2))|p1(X2)|~((![X1]:(~(r1(X2,X1))|p1(X1))&p1(X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main)).
% 0.11/0.37 fof(c_0_1, plain, ![X1]:(epred1_1(X1)<=>(![X2]:(~(r1(X1,X2))|![X1]:(~(r1(X2,X1))|~((p2(X1)&![X2]:(~(r1(X1,X2))|p2(X2))))|p1(X1))|p2(X2)|~(((p1(X2)&![X1]:(~(r1(X2,X1))|p1(X1)))&p1(X2))))&![X2]:(~(r1(X1,X2))|~((p2(X2)&![X1]:(~(r1(X2,X1))|p2(X1))))|p1(X2)|![X1]:(~(r1(X2,X1))|p2(X1)|~(((p1(X1)&![X2]:(~(r1(X1,X2))|p1(X2)))&p1(X1))))))), introduced(definition)).
% 0.11/0.37 fof(c_0_2, negated_conjecture, ~(~(?[X1]:~((~((![X2]:(~(r1(X1,X2))|~((p2(X2)&![X1]:(~(r1(X2,X1))|p2(X1))))|p1(X2))|![X2]:(~(r1(X1,X2))|p2(X2)|~(((p1(X2)&![X1]:(~(r1(X2,X1))|p1(X1)))&p1(X2))))|~((epred1_1(X1)&![X2]:(~(r1(X1,X2))|~((p2(X2)&![X1]:(~(r1(X2,X1))|p2(X1))))|p1(X2)|p2(X2)|~(((p1(X2)&![X1]:(~(r1(X2,X1))|p1(X1)))&p1(X2))))))))|![X2]:(~(r1(X1,X2))|p1(X2)|~((![X1]:(~(r1(X2,X1))|p1(X1))&p1(X2))))|![X2]:(~(r1(X1,X2))|p1(X2)|~((![X1]:(~(r1(X2,X1))|p1(X1))&p1(X2)))))))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]), c_0_1])).
% 0.11/0.37 fof(c_0_3, negated_conjecture, ![X4, X6, X9, X10, X12, X14]:(((((((((r1(esk1_0,esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&((p2(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X9)|p2(X9)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))&(~p1(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(~p2(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(((p1(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X10)|p1(X10)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(p1(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))&(((((r1(esk1_0,esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&((p2(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X9)|p2(X9)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))&(~p1(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(~p2(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(((p1(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X10)|p1(X10)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(p1(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(r1(X4,esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))))&((((((r1(esk1_0,esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&((p2(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X9)|p2(X9)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))&(~p1(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(~p2(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(((p1(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X10)|p1(X10)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(p1(esk4_0)|~epred1_1(esk1_0)|(r1(X6,esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))&(((((r1(esk1_0,esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&((p2(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X9)|p2(X9)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))&(~p1(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(~p2(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(((p1(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))&(~r1(esk4_0,X10)|p1(X10)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4)))))&(p1(esk4_0)|~epred1_1(esk1_0)|(~p1(esk3_1(X6))|~p1(X6)|~p1(X6)|(~r1(esk1_0,X6)|p2(X6))|(~p2(esk2_1(X4))|~p2(X4)|~r1(esk1_0,X4)|p1(X4))))))))&((r1(esk1_0,esk5_0)&~p1(esk5_0))&((~r1(esk5_0,X12)|p1(X12))&p1(esk5_0))))&((r1(esk1_0,esk6_0)&~p1(esk6_0))&((~r1(esk6_0,X14)|p1(X14))&p1(esk6_0)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])).
% 0.11/0.37 cnf(c_0_4, negated_conjecture, (~p1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.11/0.37 cnf(c_0_5, negated_conjecture, (p1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.11/0.37 cnf(c_0_6, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4, c_0_5])]), ['proof']).
% 0.11/0.37 # SZS output end CNFRefutation
% 0.11/0.37 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------