TSTP Solution File: LCL672+1.005 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL672+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 09:31:48 EDT 2022
% Result : Theorem 87.25s 12.28s
% Output : CNFRefutation 87.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of clauses : 70 ( 37 unt; 15 nHn; 68 RR)
% Number of literals : 184 ( 0 equ; 90 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 84 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_2) ).
cnf(i_0_17,negated_conjecture,
r1(esk102_0,esk104_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_17) ).
cnf(i_0_16,negated_conjecture,
r1(esk104_0,esk105_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_16) ).
cnf(i_0_20,negated_conjecture,
r1(esk100_0,esk102_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_20) ).
cnf(i_0_26,negated_conjecture,
r1(esk96_0,esk98_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_26) ).
cnf(i_0_23,negated_conjecture,
r1(esk98_0,esk100_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_23) ).
cnf(i_0_29,negated_conjecture,
r1(esk1_0,esk96_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_29) ).
cnf(i_0_14,negated_conjecture,
r1(esk104_0,esk106_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_14) ).
cnf(i_0_19,negated_conjecture,
r1(esk102_0,esk103_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_19) ).
cnf(i_0_32,negated_conjecture,
( p2(X1)
| p1(X2)
| r1(X3,esk94_1(X3))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_32) ).
cnf(i_0_38,negated_conjecture,
( p2(X1)
| p1(X2)
| p1(X3)
| r1(X4,esk91_3(X5,X6,X4))
| ~ r1(X6,X3)
| ~ r1(X6,X4)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_38) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_1) ).
cnf(i_0_13,negated_conjecture,
~ p1(esk106_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_13) ).
cnf(i_0_18,negated_conjecture,
~ p2(esk103_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_18) ).
cnf(i_0_37,negated_conjecture,
( p2(X1)
| p1(X2)
| p1(X3)
| ~ r1(X4,X3)
| ~ r1(X4,X5)
| ~ r1(X6,X4)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X6)
| ~ p1(esk91_3(X6,X4,X5)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_37) ).
cnf(i_0_15,negated_conjecture,
( p1(X1)
| ~ r1(esk105_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cu8hy6jk/input.p',i_0_15) ).
cnf(c_0_55,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
i_0_2 ).
cnf(c_0_56,negated_conjecture,
r1(esk102_0,esk104_0),
i_0_17 ).
cnf(c_0_57,negated_conjecture,
r1(esk104_0,esk105_0),
i_0_16 ).
cnf(c_0_58,negated_conjecture,
( r1(X1,esk104_0)
| ~ r1(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
r1(esk100_0,esk102_0),
i_0_20 ).
cnf(c_0_60,negated_conjecture,
r1(esk96_0,esk98_0),
i_0_26 ).
cnf(c_0_61,negated_conjecture,
( r1(X1,esk105_0)
| ~ r1(X1,esk104_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
r1(esk100_0,esk104_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
r1(esk98_0,esk100_0),
i_0_23 ).
cnf(c_0_64,negated_conjecture,
( r1(X1,esk98_0)
| ~ r1(X1,esk96_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
r1(esk1_0,esk96_0),
i_0_29 ).
cnf(c_0_66,negated_conjecture,
r1(esk104_0,esk106_0),
i_0_14 ).
cnf(c_0_67,negated_conjecture,
r1(esk100_0,esk105_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( r1(X1,esk100_0)
| ~ r1(X1,esk98_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
r1(esk1_0,esk98_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( r1(X1,esk106_0)
| ~ r1(X1,esk104_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
r1(esk102_0,esk103_0),
i_0_19 ).
cnf(c_0_72,plain,
( r1(X1,esk105_0)
| ~ r1(X1,esk100_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
r1(esk1_0,esk100_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
r1(esk100_0,esk106_0),
inference(spm,[status(thm)],[c_0_70,c_0_62]) ).
cnf(c_0_75,negated_conjecture,
( r1(X1,esk103_0)
| ~ r1(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( p2(X1)
| p1(X2)
| r1(X3,esk94_1(X3))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1) ),
i_0_32 ).
cnf(c_0_77,plain,
r1(esk1_0,esk105_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
( r1(X1,esk106_0)
| ~ r1(X1,esk100_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
r1(esk100_0,esk103_0),
inference(spm,[status(thm)],[c_0_75,c_0_59]) ).
cnf(c_0_80,negated_conjecture,
( p2(X1)
| p1(X2)
| p1(X3)
| r1(X4,esk91_3(X5,X6,X4))
| ~ r1(X6,X3)
| ~ r1(X6,X4)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X5) ),
i_0_38 ).
cnf(c_0_81,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_82,negated_conjecture,
( p1(X1)
| p2(X2)
| r1(esk105_0,esk94_1(esk105_0))
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
r1(esk1_0,esk106_0),
inference(spm,[status(thm)],[c_0_78,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
~ p1(esk106_0),
i_0_13 ).
cnf(c_0_85,plain,
( r1(X1,esk103_0)
| ~ r1(X1,esk100_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_79]) ).
cnf(c_0_86,plain,
( p1(X1)
| p1(X2)
| p2(X3)
| r1(X4,esk91_3(esk1_0,X5,X4))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X5)
| ~ r1(X5,X4)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,plain,
( p2(X1)
| r1(esk105_0,esk94_1(esk105_0))
| ~ r1(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_88,plain,
r1(esk1_0,esk103_0),
inference(spm,[status(thm)],[c_0_85,c_0_73]) ).
cnf(c_0_89,negated_conjecture,
~ p2(esk103_0),
i_0_18 ).
cnf(c_0_90,plain,
( p1(X1)
| p2(X2)
| r1(X3,esk91_3(esk1_0,X4,X3))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X4)
| ~ r1(X4,X3)
| ~ r1(X4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_84]) ).
cnf(c_0_91,plain,
r1(esk105_0,esk94_1(esk105_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_92,plain,
( p1(X1)
| r1(X2,esk91_3(esk1_0,X3,X2))
| ~ r1(esk1_0,X3)
| ~ r1(X3,X2)
| ~ r1(X3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_88]),c_0_89]) ).
cnf(c_0_93,plain,
( r1(X1,esk94_1(esk105_0))
| ~ r1(X1,esk105_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_91]) ).
cnf(c_0_94,plain,
( p1(X1)
| r1(X2,esk91_3(esk1_0,esk1_0,X2))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_81]) ).
cnf(c_0_95,plain,
r1(esk1_0,esk94_1(esk105_0)),
inference(spm,[status(thm)],[c_0_93,c_0_77]) ).
cnf(c_0_96,negated_conjecture,
( p2(X1)
| p1(X2)
| p1(X3)
| ~ r1(X4,X3)
| ~ r1(X4,X5)
| ~ r1(X6,X4)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X6)
| ~ p1(esk91_3(X6,X4,X5)) ),
i_0_37 ).
cnf(c_0_97,plain,
( p1(X1)
| r1(esk94_1(esk105_0),esk91_3(esk1_0,esk1_0,esk94_1(esk105_0)))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,plain,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ p1(esk91_3(esk1_0,X4,X5))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X4)
| ~ r1(X4,X5)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_81]) ).
cnf(c_0_99,plain,
r1(esk94_1(esk105_0),esk91_3(esk1_0,esk1_0,esk94_1(esk105_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_83]),c_0_84]) ).
cnf(c_0_100,plain,
( p1(X1)
| p2(X2)
| ~ p1(esk91_3(esk1_0,X3,X4))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(X3,X4)
| ~ r1(X3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_83]),c_0_84]) ).
cnf(c_0_101,plain,
( r1(X1,esk91_3(esk1_0,esk1_0,esk94_1(esk105_0)))
| ~ r1(X1,esk94_1(esk105_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_99]) ).
cnf(c_0_102,plain,
( p1(X1)
| ~ p1(esk91_3(esk1_0,X2,X3))
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_88]),c_0_89]) ).
cnf(c_0_103,negated_conjecture,
( p1(X1)
| ~ r1(esk105_0,X1) ),
i_0_15 ).
cnf(c_0_104,plain,
r1(esk105_0,esk91_3(esk1_0,esk1_0,esk94_1(esk105_0))),
inference(spm,[status(thm)],[c_0_101,c_0_91]) ).
cnf(c_0_105,plain,
( p1(X1)
| ~ p1(esk91_3(esk1_0,esk1_0,X2))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_81]) ).
cnf(c_0_106,negated_conjecture,
p1(esk91_3(esk1_0,esk1_0,esk94_1(esk105_0))),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,plain,
( p1(X1)
| ~ r1(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_95]),c_0_106])]) ).
cnf(c_0_108,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_83]),c_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL672+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 3 07:13:00 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 87.25/12.28 # ENIGMATIC: Solved by autoschedule:
% 87.25/12.28 # No SInE strategy applied
% 87.25/12.28 # Trying AutoSched0 for 150 seconds
% 87.25/12.28 # AutoSched0-Mode selected heuristic H_____042_B03_F1_AE_Q4_SP_S2S
% 87.25/12.28 # and selection function SelectNewComplexAHP.
% 87.25/12.28 #
% 87.25/12.28 # Preprocessing time : 0.033 s
% 87.25/12.28
% 87.25/12.28 # Proof found!
% 87.25/12.28 # SZS status Theorem
% 87.25/12.28 # SZS output start CNFRefutation
% See solution above
% 87.25/12.28 # Training examples: 0 positive, 0 negative
% 87.25/12.28
% 87.25/12.28 # -------------------------------------------------
% 87.25/12.28 # User time : 9.557 s
% 87.25/12.28 # System time : 0.231 s
% 87.25/12.28 # Total time : 9.789 s
% 87.25/12.28 # Maximum resident set size: 7120 pages
% 87.25/12.28
%------------------------------------------------------------------------------