%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n001.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 11:21:17 AM UTC 2026
% Result : Theorem 0.23s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n001.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sat Sep 5 05:05:31 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 0.23/0.53 % Version : CSI_E---1.1
% 0.23/0.53 % Problem : theBenchmark.p
% 0.23/0.53 % Proof found!
% 0.23/0.53 % SZS status Theorem for theBenchmark.p
% 0.23/0.53 % SZS output start Proof
% 0.23/0.53 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)).
% 0.23/0.53 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)).
% 0.23/0.53 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]), c_0_1])).
% 0.23/0.53 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(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_2])])])])])])).
% 0.23/0.53 cnf(c_0_4, negated_conjecture, (~p1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.53 cnf(c_0_5, negated_conjecture, (p1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.53 cnf(c_0_6, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4, c_0_5])]), ['proof']).
% 0.23/0.53 % SZS output end Proof
% 0.23/0.53 % User time : 0.005 s
% 0.23/0.53 % System time : 0.005 s
% 0.23/0.53 % Total time : 0.010 s
% 0.23/0.53 % User time : 0.007 s
% 0.23/0.53 % System time : 0.016 s
% 0.23/0.53 % Total time : 0.022 s
% 0.23/0.53
%------------------------------------------------------------------------------