%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 11:21:26 AM UTC 2026
% Result : Theorem 1.88s 0.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n031.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 14:38:09 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 1.88/0.78 % Version : CSI_E---1.1
% 1.88/0.78 % Problem : theBenchmark.p
% 1.88/0.78 % Proof found!
% 1.88/0.78 % SZS status Theorem for theBenchmark.p
% 1.88/0.78 % SZS output start Proof
% 1.88/0.78 fof(main, conjecture, ~(?[X1]:(~((((~(![X2]:((~(r1(X1,X2))|p2(X2))))&~(![X2]:((~(r1(X1,X2))|~((~(![X1]:((~(r1(X2,X1))|~(![X2]:((~(r1(X1,X2))|~(p1(X2))))))))&p1(X2)))))))&~(![X2]:((~(r1(X1,X2))|p1(X2)))))|((~(![X2]:((~(r1(X1,X2))|p2(X2))))&~(![X2]:((~(r1(X1,X2))|![X1]:((~(r1(X2,X1))|~((~(![X2]:((~(r1(X1,X2))|~(![X1]:((~(r1(X2,X1))|p1(X1)))))))&~(![X2]:((~(r1(X1,X2))|p1(X2))))))))))))&~(![X2]:((~(r1(X1,X2))|p1(X2)))))|((~(![X2]:((~(r1(X1,X2))|p2(X2))))&~(![X2]:((~(r1(X1,X2))|~((~(![X1]:((~(r1(X2,X1))|~(![X2]:((~(r1(X1,X2))|~(![X1]:((~(r1(X2,X1))|p1(X1))))))))))&~(![X1]:((~(r1(X2,X1))|~(![X2]:((~(r1(X1,X2))|p1(X2)))))))))))))&~(![X2]:((~(r1(X1,X2))|p1(X2)))))|((~(![X2]:((~(r1(X1,X2))|p2(X2))))&~(![X2]:((~(r1(X1,X2))|~(![X1]:((~(r1(X2,X1))|~$true)))))))&~(![X2]:((~(r1(X1,X2))|p1(X2)))))|![X2]:((~(r1(X1,X2))|p2(X2)))|![X2]:((~(r1(X1,X2))|![X1]:((~(r1(X2,X1))|~(![X2]:((~(r1(X1,X2))|p1(X2))))))|![X1]:((~(r1(X2,X1))|p1(X1)))))|![X2]:((~(r1(X1,X2))|p1(X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main)).
% 1.88/0.78 fof(transitivity, axiom, ![X1, X2, X3]:(((r1(X1,X2)&r1(X2,X3))=>r1(X1,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitivity)).
% 1.88/0.78 fof(reflexivity, axiom, ![X1]:(r1(X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity)).
% 1.88/0.78 fof(c_0_3, negated_conjecture, ~(~(?[X1]:(~((((~(![X2]:((~r1(X1,X2)|p2(X2))))&~(![X2]:((~r1(X1,X2)|~((~(![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|~p1(X2)))))))&p1(X2)))))))&~(![X2]:((~r1(X1,X2)|p1(X2)))))|((~(![X2]:((~r1(X1,X2)|p2(X2))))&~(![X2]:((~r1(X1,X2)|![X1]:((~r1(X2,X1)|~((~(![X2]:((~r1(X1,X2)|~(![X1]:((~r1(X2,X1)|p1(X1)))))))&~(![X2]:((~r1(X1,X2)|p1(X2))))))))))))&~(![X2]:((~r1(X1,X2)|p1(X2)))))|((~(![X2]:((~r1(X1,X2)|p2(X2))))&~(![X2]:((~r1(X1,X2)|~((~(![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|~(![X1]:((~r1(X2,X1)|p1(X1))))))))))&~(![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|p1(X2)))))))))))))&~(![X2]:((~r1(X1,X2)|p1(X2)))))|((~(![X2]:((~r1(X1,X2)|p2(X2))))&~(![X2]:((~r1(X1,X2)|~(![X1]:((~r1(X2,X1)|~($true))))))))&~(![X2]:((~r1(X1,X2)|p1(X2)))))|![X2]:((~r1(X1,X2)|p2(X2)))|![X2]:((~r1(X1,X2)|![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|p1(X2))))))|![X1]:((~r1(X2,X1)|p1(X1)))))|![X2]:((~r1(X1,X2)|p1(X2)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])])).
% 1.88/0.78 fof(c_0_4, plain, ![X5, X6, X7]:((~r1(X5,X6)|~r1(X6,X7)|r1(X5,X7))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])])])).
% 1.88/0.78 fof(c_0_5, negated_conjecture, ![X9, X10, X11, X13, X14, X15, X16, X17, X19, X20, X21, X22, X23, X25, X26, X28, X29, X30, X32, X36]:(((((((((r1(X11,esk2_2(X10,X11))|~r1(X10,X11)|~p1(X10)|~r1(esk1_0,X10)|(~r1(esk1_0,X9)|p2(X9))|(~r1(esk1_0,X13)|p1(X13)))&(p1(esk2_2(X10,X11))|~r1(X10,X11)|~p1(X10)|~r1(esk1_0,X10)|(~r1(esk1_0,X9)|p2(X9))|(~r1(esk1_0,X13)|p1(X13))))&((r1(X17,esk3_3(X15,X16,X17))|~r1(X16,X17)|(~r1(X16,X19)|p1(X19))|~r1(X15,X16)|~r1(esk1_0,X15)|(~r1(esk1_0,X14)|p2(X14))|(~r1(esk1_0,X20)|p1(X20)))&(~p1(esk3_3(X15,X16,X17))|~r1(X16,X17)|(~r1(X16,X19)|p1(X19))|~r1(X15,X16)|~r1(esk1_0,X15)|(~r1(esk1_0,X14)|p2(X14))|(~r1(esk1_0,X20)|p1(X20)))))&(((r1(X26,esk5_2(X22,X26))|~r1(X22,X26)|(r1(X23,esk4_2(X22,X23))|~r1(X22,X23))|~r1(esk1_0,X22)|(~r1(esk1_0,X21)|p2(X21))|(~r1(esk1_0,X28)|p1(X28)))&(~p1(esk5_2(X22,X26))|~r1(X22,X26)|(r1(X23,esk4_2(X22,X23))|~r1(X22,X23))|~r1(esk1_0,X22)|(~r1(esk1_0,X21)|p2(X21))|(~r1(esk1_0,X28)|p1(X28))))&((r1(X26,esk5_2(X22,X26))|~r1(X22,X26)|(~r1(esk4_2(X22,X23),X25)|p1(X25)|~r1(X22,X23))|~r1(esk1_0,X22)|(~r1(esk1_0,X21)|p2(X21))|(~r1(esk1_0,X28)|p1(X28)))&(~p1(esk5_2(X22,X26))|~r1(X22,X26)|(~r1(esk4_2(X22,X23),X25)|p1(X25)|~r1(X22,X23))|~r1(esk1_0,X22)|(~r1(esk1_0,X21)|p2(X21))|(~r1(esk1_0,X28)|p1(X28))))))&((r1(X30,esk6_1(X30))|~r1(esk1_0,X30)|(~r1(esk1_0,X29)|p2(X29))|(~r1(esk1_0,X32)|p1(X32)))&($true|~r1(esk1_0,X30)|(~r1(esk1_0,X29)|p2(X29))|(~r1(esk1_0,X32)|p1(X32)))))&(r1(esk1_0,esk7_0)&~p2(esk7_0)))&((r1(esk1_0,esk8_0)&(r1(esk8_0,esk9_0)&(~r1(esk9_0,X36)|p1(X36))))&(r1(esk8_0,esk10_0)&~p1(esk10_0))))&(r1(esk1_0,esk11_0)&~p1(esk11_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_3])])])])])])).
% 1.88/0.78 cnf(c_0_6, plain, (r1(X1,X3)|~r1(X1,X2)|~r1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 1.88/0.78 cnf(c_0_7, negated_conjecture, (r1(esk8_0,esk10_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_8, negated_conjecture, (r1(X1,esk3_3(X2,X3,X1))|p1(X4)|p2(X5)|p1(X6)|~r1(X3,X1)|~r1(X3,X4)|~r1(X2,X3)|~r1(esk1_0,X2)|~r1(esk1_0,X5)|~r1(esk1_0,X6)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_9, negated_conjecture, (r1(X1,esk10_0)|~r1(X1,esk8_0)), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 1.88/0.78 cnf(c_0_10, negated_conjecture, (r1(esk1_0,esk8_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_11, negated_conjecture, (~p1(esk10_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_12, negated_conjecture, (r1(esk1_0,esk7_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 fof(c_0_13, plain, ![X4]:(r1(X4,X4)), inference(variable_rename,[status(thm)],[reflexivity])).
% 1.88/0.78 cnf(c_0_14, negated_conjecture, (p1(X1)|p2(X2)|r1(X3,esk3_3(X4,X5,X3))|~r1(esk1_0,X2)|~r1(esk1_0,X4)|~r1(X5,X1)|~r1(X5,X3)|~r1(X4,X5)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])]), c_0_11])).
% 1.88/0.78 cnf(c_0_15, negated_conjecture, (r1(X1,esk7_0)|~r1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 1.88/0.78 cnf(c_0_16, plain, (r1(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 1.88/0.78 cnf(c_0_17, negated_conjecture, (~p2(esk7_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_18, negated_conjecture, (p1(X1)|r1(X2,esk3_3(X3,X4,X2))|~r1(esk1_0,X3)|~r1(X4,X1)|~r1(X4,X2)|~r1(X3,X4)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])]), c_0_17])).
% 1.88/0.78 cnf(c_0_19, negated_conjecture, (r1(X1,esk8_0)|~r1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_6, c_0_10])).
% 1.88/0.78 cnf(c_0_20, negated_conjecture, (p1(X1)|r1(X2,esk3_3(esk8_0,X3,X2))|~r1(esk8_0,X3)|~r1(X3,X1)|~r1(X3,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_16])])).
% 1.88/0.78 cnf(c_0_21, negated_conjecture, (p1(X4)|p2(X5)|p1(X6)|~p1(esk3_3(X1,X2,X3))|~r1(X2,X3)|~r1(X2,X4)|~r1(X1,X2)|~r1(esk1_0,X1)|~r1(esk1_0,X5)|~r1(esk1_0,X6)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_22, negated_conjecture, (p1(X1)|~r1(esk9_0,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_23, negated_conjecture, (p1(X1)|r1(X2,esk3_3(esk8_0,esk8_0,X2))|~r1(esk8_0,X1)|~r1(esk8_0,X2)), inference(spm,[status(thm)],[c_0_20, c_0_16])).
% 1.88/0.78 cnf(c_0_24, negated_conjecture, (p1(X1)|p1(X2)|p2(X3)|~r1(esk9_0,esk3_3(X4,X5,X6))|~r1(esk1_0,X2)|~r1(esk1_0,X3)|~r1(esk1_0,X4)|~r1(X5,X1)|~r1(X5,X6)|~r1(X4,X5)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 1.88/0.78 cnf(c_0_25, negated_conjecture, (r1(X1,esk3_3(esk8_0,esk8_0,X1))|~r1(esk8_0,X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_9]), c_0_16])]), c_0_11])).
% 1.88/0.78 cnf(c_0_26, negated_conjecture, (r1(esk8_0,esk9_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_27, negated_conjecture, (r1(esk1_0,esk11_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_28, negated_conjecture, (p1(X1)|p1(X2)|p2(X3)|~r1(esk1_0,X1)|~r1(esk1_0,X3)|~r1(esk8_0,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_10]), c_0_26]), c_0_16])])).
% 1.88/0.78 cnf(c_0_29, negated_conjecture, (r1(X1,esk11_0)|~r1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_6, c_0_27])).
% 1.88/0.78 cnf(c_0_30, negated_conjecture, (~p1(esk11_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.88/0.78 cnf(c_0_31, negated_conjecture, (p1(X1)|p2(X2)|~r1(esk1_0,X2)|~r1(esk8_0,X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_16])]), c_0_30])).
% 1.88/0.78 cnf(c_0_32, negated_conjecture, (p1(X1)|~r1(esk8_0,X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_15]), c_0_16])]), c_0_17])).
% 1.88/0.78 cnf(c_0_33, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_32]), c_0_7])]), ['proof']).
% 1.88/0.78 % SZS output end Proof
% 1.88/0.78 % User time : 0.191 s
% 1.88/0.78 % System time : 0.009 s
% 1.88/0.78 % Total time : 0.200 s
% 1.88/0.78 % User time : 1.322 s
% 1.88/0.78 % System time : 0.020 s
% 1.88/0.78 % Total time : 1.343 s
% 1.88/0.78
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