%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n028.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 11:21:20 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 : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.05/0.33 % Computer : n028.cluster.edu
% 0.05/0.33 % Model : x86_64 x86_64
% 0.05/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.33 % Memory : 8046.5625MB
% 0.05/0.33 % OS : Linux 6.8.0-71-generic
% 0.05/0.33 % CPULimit : 300
% 0.05/0.33 % WCLimit : 300
% 0.05/0.33 % DateTime : Sat Sep 5 00:40:29 UTC 2026
% 0.05/0.34 % CPUTime :
% 0.11/0.45 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))|~((~(![X1]:((~(r1(X2,X1))|~(![X2]:((~(r1(X1,X2))|~(p1(X2))))))))&p1(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))|~((~(![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))|~(![X1]:((~(r1(X2,X1))|~$true))))))|![X2]:((~(r1(X1,X2))|![X1]:((~(r1(X2,X1))|![X2]:((~(r1(X1,X2))|p1(X2)))))|~(![X1]:((~(r1(X2,X1))|p1(X1)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', main)).
% 0.24/0.52 fof(reflexivity, axiom, ![X1]:(r1(X1,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity)).
% 0.24/0.52 fof(c_0_2, negated_conjecture, ~(~(?[X1]:(~((~(![X2]:((~r1(X1,X2)|~((~(![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|~p1(X2)))))))&p1(X2))))))|~(![X2]:((~r1(X1,X2)|![X1]:((~r1(X2,X1)|~((~(![X2]:((~r1(X1,X2)|~(![X1]:((~r1(X2,X1)|p1(X1)))))))&~(![X2]:((~r1(X1,X2)|p1(X2)))))))))))|~(![X2]:((~r1(X1,X2)|~((~(![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|~(![X1]:((~r1(X2,X1)|p1(X1))))))))))&~(![X1]:((~r1(X2,X1)|~(![X2]:((~r1(X1,X2)|p1(X2))))))))))))|~(![X2]:((~r1(X1,X2)|~(![X1]:((~r1(X2,X1)|~($true)))))))|![X2]:((~r1(X1,X2)|![X1]:((~r1(X2,X1)|![X2]:((~r1(X1,X2)|p1(X2)))))|~(![X1]:((~r1(X2,X1)|p1(X1))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])])).
% 0.24/0.52 fof(c_0_3, negated_conjecture, ![X4, X5, X7, X8, X9, X11, X12, X13, X15, X16, X18, X23]:(((((((r1(X5,esk2_2(X4,X5))|~r1(X4,X5)|~p1(X4)|~r1(esk1_0,X4))&(p1(esk2_2(X4,X5))|~r1(X4,X5)|~p1(X4)|~r1(esk1_0,X4)))&((r1(X9,esk3_3(X7,X8,X9))|~r1(X8,X9)|(~r1(X8,X11)|p1(X11))|~r1(X7,X8)|~r1(esk1_0,X7))&(~p1(esk3_3(X7,X8,X9))|~r1(X8,X9)|(~r1(X8,X11)|p1(X11))|~r1(X7,X8)|~r1(esk1_0,X7))))&(((r1(X16,esk5_2(X12,X16))|~r1(X12,X16)|(r1(X13,esk4_2(X12,X13))|~r1(X12,X13))|~r1(esk1_0,X12))&(~p1(esk5_2(X12,X16))|~r1(X12,X16)|(r1(X13,esk4_2(X12,X13))|~r1(X12,X13))|~r1(esk1_0,X12)))&((r1(X16,esk5_2(X12,X16))|~r1(X12,X16)|(~r1(esk4_2(X12,X13),X15)|p1(X15)|~r1(X12,X13))|~r1(esk1_0,X12))&(~p1(esk5_2(X12,X16))|~r1(X12,X16)|(~r1(esk4_2(X12,X13),X15)|p1(X15)|~r1(X12,X13))|~r1(esk1_0,X12)))))&((r1(X18,esk6_1(X18))|~r1(esk1_0,X18))&($true|~r1(esk1_0,X18))))&((r1(esk1_0,esk7_0)&(r1(esk7_0,esk8_0)&(r1(esk8_0,esk9_0)&~p1(esk9_0))))&(~r1(esk7_0,X23)|p1(X23))))), 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])])])])])])).
% 0.24/0.52 cnf(c_0_4, negated_conjecture, (r1(X1,esk5_2(X2,X1))|r1(X3,esk4_2(X2,X3))|~r1(X2,X1)|~r1(X2,X3)|~r1(esk1_0,X2)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_5, negated_conjecture, (r1(esk1_0,esk7_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_6, negated_conjecture, (r1(X1,esk3_3(X2,X3,X1))|p1(X4)|~r1(X3,X1)|~r1(X3,X4)|~r1(X2,X3)|~r1(esk1_0,X2)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_7, negated_conjecture, (r1(esk8_0,esk9_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_8, negated_conjecture, (~p1(esk9_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_9, negated_conjecture, (r1(X1,esk5_2(esk7_0,X1))|r1(X2,esk4_2(esk7_0,X2))|~r1(esk7_0,X2)|~r1(esk7_0,X1)), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.24/0.52 cnf(c_0_10, negated_conjecture, (r1(esk7_0,esk8_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 fof(c_0_11, plain, ![X24]:(r1(X24,X24)), inference(variable_rename,[status(thm)],[reflexivity])).
% 0.24/0.52 cnf(c_0_12, negated_conjecture, (r1(X1,esk5_2(X2,X1))|p1(X4)|~r1(X2,X1)|~r1(esk4_2(X2,X3),X4)|~r1(X2,X3)|~r1(esk1_0,X2)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_13, negated_conjecture, (r1(X1,esk3_3(X2,esk8_0,X1))|~r1(esk1_0,X2)|~r1(esk8_0,X1)|~r1(X2,esk8_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])).
% 0.24/0.52 cnf(c_0_14, negated_conjecture, (r1(esk8_0,esk4_2(esk7_0,esk8_0))|r1(X1,esk5_2(esk7_0,X1))|~r1(esk7_0,X1)), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.24/0.52 cnf(c_0_15, plain, (r1(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.24/0.52 cnf(c_0_16, negated_conjecture, (p1(esk3_3(X1,esk8_0,esk4_2(X2,X3)))|r1(X4,esk5_2(X2,X4))|~r1(esk8_0,esk4_2(X2,X3))|~r1(esk1_0,X2)|~r1(esk1_0,X1)|~r1(X1,esk8_0)|~r1(X2,X3)|~r1(X2,X4)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.24/0.52 cnf(c_0_17, negated_conjecture, (r1(esk7_0,esk5_2(esk7_0,esk7_0))|r1(esk8_0,esk4_2(esk7_0,esk8_0))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.24/0.52 cnf(c_0_18, negated_conjecture, (p1(esk3_3(X1,esk8_0,esk4_2(esk7_0,esk8_0)))|r1(esk7_0,esk5_2(esk7_0,esk7_0))|r1(X2,esk5_2(esk7_0,X2))|~r1(esk1_0,X1)|~r1(X1,esk8_0)|~r1(esk7_0,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_5]), c_0_10])])).
% 0.24/0.52 cnf(c_0_19, negated_conjecture, (p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))|r1(esk7_0,esk5_2(esk7_0,esk7_0))|r1(X1,esk5_2(esk7_0,X1))|~r1(esk7_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_5]), c_0_10])])).
% 0.24/0.52 cnf(c_0_20, negated_conjecture, (p1(X4)|~p1(esk5_2(X1,X2))|~r1(X1,X2)|~r1(esk4_2(X1,X3),X4)|~r1(X1,X3)|~r1(esk1_0,X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_21, negated_conjecture, (p1(X4)|~p1(esk3_3(X1,X2,X3))|~r1(X2,X3)|~r1(X2,X4)|~r1(X1,X2)|~r1(esk1_0,X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_22, negated_conjecture, (p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))|r1(esk7_0,esk5_2(esk7_0,esk7_0))), inference(spm,[status(thm)],[c_0_19, c_0_15])).
% 0.24/0.52 cnf(c_0_23, negated_conjecture, (p1(esk3_3(X1,esk8_0,esk4_2(X2,X3)))|~p1(esk5_2(X2,X4))|~r1(esk8_0,esk4_2(X2,X3))|~r1(esk1_0,X2)|~r1(esk1_0,X1)|~r1(X1,esk8_0)|~r1(X2,X3)|~r1(X2,X4)), inference(spm,[status(thm)],[c_0_20, c_0_13])).
% 0.24/0.52 cnf(c_0_24, negated_conjecture, (p1(X1)|~r1(esk7_0,X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_25, negated_conjecture, (p1(X1)|r1(esk7_0,esk5_2(esk7_0,esk7_0))|~r1(esk8_0,X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_5]), c_0_10])]), c_0_17])).
% 0.24/0.52 cnf(c_0_26, negated_conjecture, (p1(esk3_3(X1,esk8_0,esk4_2(X2,X3)))|~r1(esk8_0,esk4_2(X2,X3))|~r1(esk7_0,esk5_2(X2,X4))|~r1(esk1_0,X2)|~r1(esk1_0,X1)|~r1(X1,esk8_0)|~r1(X2,X3)|~r1(X2,X4)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 0.24/0.52 cnf(c_0_27, negated_conjecture, (r1(esk7_0,esk5_2(esk7_0,esk7_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_7]), c_0_8])).
% 0.24/0.52 cnf(c_0_28, negated_conjecture, (r1(X3,esk4_2(X1,X3))|~p1(esk5_2(X1,X2))|~r1(X1,X2)|~r1(X1,X3)|~r1(esk1_0,X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.24/0.52 cnf(c_0_29, negated_conjecture, (p1(esk3_3(X1,esk8_0,esk4_2(esk7_0,X2)))|~r1(esk8_0,esk4_2(esk7_0,X2))|~r1(esk1_0,X1)|~r1(X1,esk8_0)|~r1(esk7_0,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_5]), c_0_15])])).
% 0.24/0.52 cnf(c_0_30, negated_conjecture, (r1(X1,esk4_2(X2,X1))|~r1(esk7_0,esk5_2(X2,X3))|~r1(esk1_0,X2)|~r1(X2,X1)|~r1(X2,X3)), inference(spm,[status(thm)],[c_0_28, c_0_24])).
% 0.24/0.52 cnf(c_0_31, negated_conjecture, (p1(X1)|~r1(esk8_0,esk4_2(esk7_0,X2))|~r1(esk1_0,X3)|~r1(esk8_0,X1)|~r1(X3,esk8_0)|~r1(esk7_0,X2)), inference(spm,[status(thm)],[c_0_21, c_0_29])).
% 0.24/0.52 cnf(c_0_32, negated_conjecture, (r1(X1,esk4_2(esk7_0,X1))|~r1(esk7_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_27]), c_0_5]), c_0_15])])).
% 0.24/0.52 cnf(c_0_33, negated_conjecture, (p1(X1)|~r1(esk1_0,X2)|~r1(esk8_0,X1)|~r1(X2,esk8_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_10])])).
% 0.24/0.52 cnf(c_0_34, negated_conjecture, (p1(X1)|~r1(esk8_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_5]), c_0_10])])).
% 0.24/0.52 cnf(c_0_35, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_34]), c_0_7])]), ['proof']).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % User time : 0.036 s
% 0.24/0.52 % System time : 0.002 s
% 0.24/0.52 % Total time : 0.038 s
% 0.24/0.52 % User time : 0.039 s
% 0.24/0.52 % System time : 0.003 s
% 0.24/0.52 % Total time : 0.042 s
% 0.24/0.52
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