%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 11:21:14 AM UTC 2026
% Result : Theorem 0.24s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n010.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 13:21:53 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 0.24/0.52 % Version : CSI_E---1.1
% 0.24/0.52 % Problem : theBenchmark.p
% 0.24/0.52 % Proof found!
% 0.24/0.52 % SZS status Theorem for theBenchmark.p
% 0.24/0.52 % SZS output start Proof
% 0.24/0.52 fof(main, conjecture, ~(?[X1]:(~((~(![X2]:((~(r1(X1,X2))|p2(X2))))|~((((((((![X2]:((~(r1(X1,X2))|((((((~(![X1]:((~(r1(X2,X1))|~(((~(p2(X1))&~(p102(X1)))&p101(X1))))))&~(![X1]:((~(r1(X2,X1))|~(((p2(X1)&~(p102(X1)))&p101(X1)))))))|~((~(p101(X2))&p100(X2))))&(((![X1]:((~(r1(X2,X1))|~(p2(X1))|~(p101(X1))))|p2(X2))&(![X1]:((~(r1(X2,X1))|p2(X1)|~(p101(X1))))|~(p2(X2))))|~(p101(X2))))&(((![X1]:((~(r1(X2,X1))|~(p1(X1))|~(p100(X1))))|p1(X2))&(![X1]:((~(r1(X2,X1))|p1(X1)|~(p100(X1))))|~(p1(X2))))|~(p100(X2))))&(p101(X2)|~(p102(X2))))&(p100(X2)|~(p101(X2))))))&((~(![X2]:((~(r1(X1,X2))|~(((~(p2(X2))&~(p102(X2)))&p101(X2))))))&~(![X2]:((~(r1(X1,X2))|~(((p2(X2)&~(p102(X2)))&p101(X2)))))))|~((~(p101(X1))&p100(X1)))))&(((![X2]:((~(r1(X1,X2))|~(p2(X2))|~(p101(X2))))|p2(X1))&(![X2]:((~(r1(X1,X2))|p2(X2)|~(p101(X2))))|~(p2(X1))))|~(p101(X1))))&(((![X2]:((~(r1(X1,X2))|~(p1(X2))|~(p100(X2))))|p1(X1))&(![X2]:((~(r1(X1,X2))|p1(X2)|~(p100(X2))))|~(p1(X1))))|~(p100(X1))))&(p101(X1)|~(p102(X1))))&(p100(X1)|~(p101(X1))))&~(p101(X1)))&p100(X1))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main)).
% 0.24/0.52 fof(c_0_1, negated_conjecture, ~(~(?[X1]:(~((~(![X2]:((~r1(X1,X2)|p2(X2))))|~((((((((![X2]:((~r1(X1,X2)|((((((~(![X1]:((~r1(X2,X1)|~(((~p2(X1)&~p102(X1))&p101(X1))))))&~(![X1]:((~r1(X2,X1)|~(((p2(X1)&~p102(X1))&p101(X1)))))))|~((~p101(X2)&p100(X2))))&(((![X1]:((~r1(X2,X1)|~p2(X1)|~p101(X1)))|p2(X2))&(![X1]:((~r1(X2,X1)|p2(X1)|~p101(X1)))|~p2(X2)))|~p101(X2)))&(((![X1]:((~r1(X2,X1)|~p1(X1)|~p100(X1)))|p1(X2))&(![X1]:((~r1(X2,X1)|p1(X1)|~p100(X1)))|~p1(X2)))|~p100(X2)))&(p101(X2)|~p102(X2)))&(p100(X2)|~p101(X2)))))&((~(![X2]:((~r1(X1,X2)|~(((~p2(X2)&~p102(X2))&p101(X2))))))&~(![X2]:((~r1(X1,X2)|~(((p2(X2)&~p102(X2))&p101(X2)))))))|~((~p101(X1)&p100(X1)))))&(((![X2]:((~r1(X1,X2)|~p2(X2)|~p101(X2)))|p2(X1))&(![X2]:((~r1(X1,X2)|p2(X2)|~p101(X2)))|~p2(X1)))|~p101(X1)))&(((![X2]:((~r1(X1,X2)|~p1(X2)|~p100(X2)))|p1(X1))&(![X2]:((~r1(X1,X2)|p1(X2)|~p100(X2)))|~p1(X1)))|~p100(X1)))&(p101(X1)|~p102(X1)))&(p100(X1)|~p101(X1)))&~p101(X1))&p100(X1)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])])).
% 0.24/0.52 fof(c_0_2, negated_conjecture, ![X4, X5, X8, X9, X10, X11, X14, X15, X16, X17]:(((~r1(esk1_0,X4)|p2(X4))&((((((((((((((r1(X5,esk2_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5))&(((~p2(esk2_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5))&(~p102(esk2_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5)))&(p101(esk2_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5))))&((r1(X5,esk3_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5))&(((p2(esk3_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5))&(~p102(esk3_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5)))&(p101(esk3_1(X5))|(p101(X5)|~p100(X5))|~r1(esk1_0,X5)))))&((~r1(X5,X8)|~p2(X8)|~p101(X8)|p2(X5)|~p101(X5)|~r1(esk1_0,X5))&(~r1(X5,X9)|p2(X9)|~p101(X9)|~p2(X5)|~p101(X5)|~r1(esk1_0,X5))))&((~r1(X5,X10)|~p1(X10)|~p100(X10)|p1(X5)|~p100(X5)|~r1(esk1_0,X5))&(~r1(X5,X11)|p1(X11)|~p100(X11)|~p1(X5)|~p100(X5)|~r1(esk1_0,X5))))&(p101(X5)|~p102(X5)|~r1(esk1_0,X5)))&(p100(X5)|~p101(X5)|~r1(esk1_0,X5)))&(((r1(esk1_0,esk4_0)|(p101(esk1_0)|~p100(esk1_0)))&(((~p2(esk4_0)|(p101(esk1_0)|~p100(esk1_0)))&(~p102(esk4_0)|(p101(esk1_0)|~p100(esk1_0))))&(p101(esk4_0)|(p101(esk1_0)|~p100(esk1_0)))))&((r1(esk1_0,esk5_0)|(p101(esk1_0)|~p100(esk1_0)))&(((p2(esk5_0)|(p101(esk1_0)|~p100(esk1_0)))&(~p102(esk5_0)|(p101(esk1_0)|~p100(esk1_0))))&(p101(esk5_0)|(p101(esk1_0)|~p100(esk1_0)))))))&((~r1(esk1_0,X14)|~p2(X14)|~p101(X14)|p2(esk1_0)|~p101(esk1_0))&(~r1(esk1_0,X15)|p2(X15)|~p101(X15)|~p2(esk1_0)|~p101(esk1_0))))&((~r1(esk1_0,X16)|~p1(X16)|~p100(X16)|p1(esk1_0)|~p100(esk1_0))&(~r1(esk1_0,X17)|p1(X17)|~p100(X17)|~p1(esk1_0)|~p100(esk1_0))))&(p101(esk1_0)|~p102(esk1_0)))&(p100(esk1_0)|~p101(esk1_0)))&~p101(esk1_0))&p100(esk1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])).
% 0.24/0.52 cnf(c_0_3, negated_conjecture, (p101(esk1_0)|~p2(esk4_0)|~p100(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.24/0.52 cnf(c_0_4, negated_conjecture, (p100(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.24/0.52 cnf(c_0_5, negated_conjecture, (~p101(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.24/0.52 cnf(c_0_6, negated_conjecture, (r1(esk1_0,esk4_0)|p101(esk1_0)|~p100(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.24/0.52 cnf(c_0_7, negated_conjecture, (~p2(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3, c_0_4])]), c_0_5])).
% 0.24/0.52 cnf(c_0_8, negated_conjecture, (p2(X1)|~r1(esk1_0,X1)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.24/0.52 cnf(c_0_9, negated_conjecture, (r1(esk1_0,esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_4])]), c_0_5])).
% 0.24/0.52 cnf(c_0_10, negated_conjecture, (~r1(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.24/0.52 cnf(c_0_11, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_9, c_0_10]), ['proof']).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % User time : 0.004 s
% 0.24/0.52 % System time : 0.003 s
% 0.24/0.52 % Total time : 0.008 s
% 0.24/0.52 % User time : 0.009 s
% 0.24/0.52 % System time : 0.011 s
% 0.24/0.52 % Total time : 0.020 s
% 0.24/0.52
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