%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU381+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 08:41:42 EDT 2022
% Result : Theorem 9.25s 2.69s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of clauses : 65 ( 18 unt; 19 nHn; 61 RR)
% Number of literals : 186 ( 0 equ; 107 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_485,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,the_carrier(boole_POSet(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_485) ).
cnf(i_0_478,negated_conjecture,
element(esk36_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_478) ).
cnf(i_0_163,plain,
( upper_relstr_subset(X1,X2)
| in(esk1_2(X2,X1),X1)
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_163) ).
cnf(i_0_172,plain,
rel_str(boole_POSet(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_172) ).
cnf(i_0_164,plain,
( upper_relstr_subset(X1,X2)
| element(esk2_2(X2,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_164) ).
cnf(i_0_162,plain,
( upper_relstr_subset(X1,X2)
| related(X2,esk1_2(X2,X1),esk2_2(X2,X1))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_162) ).
cnf(i_0_473,negated_conjecture,
( in(X1,esk36_0)
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ subset(X2,X1)
| ~ in(X2,esk36_0)
| ~ subset(X1,esk35_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_473) ).
cnf(i_0_484,plain,
( subset(X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_484) ).
cnf(i_0_161,plain,
( upper_relstr_subset(X1,X2)
| ~ rel_str(X2)
| ~ in(esk2_2(X2,X1),X1)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_161) ).
cnf(i_0_469,plain,
( empty_carrier(X1)
| related_reflexive(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_469) ).
cnf(i_0_202,plain,
reflexive_relstr(boole_POSet(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_202) ).
cnf(i_0_204,plain,
~ empty_carrier(boole_POSet(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_204) ).
cnf(i_0_482,plain,
( subset(X1,X2)
| ~ related_reflexive(boole_POSet(X3),X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X3)))
| ~ element(X1,the_carrier(boole_POSet(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_482) ).
cnf(i_0_476,negated_conjecture,
( subset(esk38_0,esk35_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_476) ).
cnf(i_0_483,plain,
( element(X1,the_carrier(boole_POSet(X2)))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_483) ).
cnf(i_0_475,negated_conjecture,
( in(esk37_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_475) ).
cnf(i_0_481,plain,
( related_reflexive(boole_POSet(X1),X2,X3)
| ~ subset(X2,X3)
| ~ element(X3,the_carrier(boole_POSet(X1)))
| ~ element(X2,the_carrier(boole_POSet(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_481) ).
cnf(i_0_477,negated_conjecture,
( subset(esk37_0,esk38_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_477) ).
cnf(i_0_166,plain,
( in(X1,X2)
| ~ rel_str(X3)
| ~ in(X4,X2)
| ~ upper_relstr_subset(X2,X3)
| ~ related(X3,X4,X1)
| ~ element(X1,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X3)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_166) ).
cnf(i_0_470,plain,
( empty_carrier(X1)
| related(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_470) ).
cnf(i_0_474,negated_conjecture,
( ~ in(esk38_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ks575fdh/input.p',i_0_474) ).
cnf(c_0_507,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,the_carrier(boole_POSet(X2))) ),
i_0_485 ).
cnf(c_0_508,negated_conjecture,
element(esk36_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0))))),
i_0_478 ).
cnf(c_0_509,plain,
( upper_relstr_subset(X1,X2)
| in(esk1_2(X2,X1),X1)
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_163 ).
cnf(c_0_510,plain,
rel_str(boole_POSet(X1)),
i_0_172 ).
cnf(c_0_511,plain,
( upper_relstr_subset(X1,X2)
| element(esk2_2(X2,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_164 ).
cnf(c_0_512,plain,
( upper_relstr_subset(X1,X2)
| related(X2,esk1_2(X2,X1),esk2_2(X2,X1))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_162 ).
cnf(c_0_513,negated_conjecture,
( element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ in(X1,esk36_0) ),
inference(spm,[status(thm)],[c_0_507,c_0_508]) ).
cnf(c_0_514,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(esk1_2(boole_POSet(esk35_0),esk36_0),esk36_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_508]),c_0_510])]) ).
cnf(c_0_515,negated_conjecture,
( in(X1,esk36_0)
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ subset(X2,X1)
| ~ in(X2,esk36_0)
| ~ subset(X1,esk35_0) ),
i_0_473 ).
cnf(c_0_516,plain,
( subset(X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X2))) ),
i_0_484 ).
cnf(c_0_517,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| element(esk2_2(boole_POSet(esk35_0),esk36_0),the_carrier(boole_POSet(esk35_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_508]),c_0_510])]) ).
cnf(c_0_518,plain,
( upper_relstr_subset(X1,X2)
| ~ rel_str(X2)
| ~ in(esk2_2(X2,X1),X1)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_161 ).
cnf(c_0_519,plain,
( empty_carrier(X1)
| related_reflexive(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_469 ).
cnf(c_0_520,negated_conjecture,
( related(boole_POSet(esk35_0),esk1_2(boole_POSet(esk35_0),esk36_0),esk2_2(boole_POSet(esk35_0),esk36_0))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_508]),c_0_510])]) ).
cnf(c_0_521,plain,
reflexive_relstr(boole_POSet(X1)),
i_0_202 ).
cnf(c_0_522,plain,
~ empty_carrier(boole_POSet(X1)),
i_0_204 ).
cnf(c_0_523,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| element(esk1_2(boole_POSet(esk35_0),esk36_0),the_carrier(boole_POSet(esk35_0))) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_524,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(X1,esk36_0)
| ~ subset(esk1_2(boole_POSet(esk35_0),esk36_0),X1)
| ~ subset(X1,esk35_0) ),
inference(spm,[status(thm)],[c_0_515,c_0_514]) ).
cnf(c_0_525,plain,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| subset(esk2_2(boole_POSet(esk35_0),esk36_0),esk35_0) ),
inference(spm,[status(thm)],[c_0_516,c_0_517]) ).
cnf(c_0_526,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ in(esk2_2(boole_POSet(esk35_0),esk36_0),esk36_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_508]),c_0_510])]) ).
cnf(c_0_527,plain,
( subset(X1,X2)
| ~ related_reflexive(boole_POSet(X3),X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X3)))
| ~ element(X1,the_carrier(boole_POSet(X3))) ),
i_0_482 ).
cnf(c_0_528,plain,
( related_reflexive(boole_POSet(esk35_0),esk1_2(boole_POSet(esk35_0),esk36_0),esk2_2(boole_POSet(esk35_0),esk36_0))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_521]),c_0_510])]),c_0_522]),c_0_523]),c_0_517]) ).
cnf(c_0_529,plain,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ subset(esk1_2(boole_POSet(esk35_0),esk36_0),esk2_2(boole_POSet(esk35_0),esk36_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_526]) ).
cnf(c_0_530,negated_conjecture,
( subset(esk38_0,esk35_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_476 ).
cnf(c_0_531,plain,
upper_relstr_subset(esk36_0,boole_POSet(esk35_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_528]),c_0_523]),c_0_517]),c_0_529]) ).
cnf(c_0_532,plain,
( element(X1,the_carrier(boole_POSet(X2)))
| ~ subset(X1,X2) ),
i_0_483 ).
cnf(c_0_533,negated_conjecture,
subset(esk38_0,esk35_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_531])]) ).
cnf(c_0_534,negated_conjecture,
( in(esk37_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_475 ).
cnf(c_0_535,plain,
( related_reflexive(boole_POSet(X1),X2,X3)
| ~ subset(X2,X3)
| ~ element(X3,the_carrier(boole_POSet(X1)))
| ~ element(X2,the_carrier(boole_POSet(X1))) ),
i_0_481 ).
cnf(c_0_536,plain,
element(esk38_0,the_carrier(boole_POSet(esk35_0))),
inference(spm,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_537,negated_conjecture,
in(esk37_0,esk36_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_534,c_0_531])]) ).
cnf(c_0_538,negated_conjecture,
( subset(esk37_0,esk38_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_477 ).
cnf(c_0_539,plain,
( related_reflexive(boole_POSet(esk35_0),X1,esk38_0)
| ~ element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ subset(X1,esk38_0) ),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_540,negated_conjecture,
element(esk37_0,the_carrier(boole_POSet(esk35_0))),
inference(spm,[status(thm)],[c_0_513,c_0_537]) ).
cnf(c_0_541,negated_conjecture,
subset(esk37_0,esk38_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_531])]) ).
cnf(c_0_542,plain,
( in(X1,X2)
| ~ rel_str(X3)
| ~ in(X4,X2)
| ~ upper_relstr_subset(X2,X3)
| ~ related(X3,X4,X1)
| ~ element(X1,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X3)))) ),
i_0_166 ).
cnf(c_0_543,plain,
( empty_carrier(X1)
| related(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_470 ).
cnf(c_0_544,negated_conjecture,
related_reflexive(boole_POSet(esk35_0),esk37_0,esk38_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541])]) ).
cnf(c_0_545,plain,
( in(X1,X2)
| ~ related(X3,X4,X1)
| ~ upper_relstr_subset(X2,X3)
| ~ in(X4,X2)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X3))))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3) ),
inference(csr,[status(thm)],[c_0_542,c_0_507]) ).
cnf(c_0_546,plain,
related(boole_POSet(esk35_0),esk37_0,esk38_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_536]),c_0_540]),c_0_521]),c_0_510])]),c_0_522]) ).
cnf(c_0_547,negated_conjecture,
( ~ in(esk38_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_474 ).
cnf(c_0_548,plain,
( in(esk38_0,X1)
| ~ upper_relstr_subset(X1,boole_POSet(esk35_0))
| ~ in(esk37_0,X1)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_536]),c_0_510])]) ).
cnf(c_0_549,negated_conjecture,
~ in(esk38_0,esk36_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_547,c_0_531])]) ).
cnf(c_0_550,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_508]),c_0_531]),c_0_537])]),c_0_549]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU381+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 02:34:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.25/2.69 # ENIGMATIC: Solved by autoschedule:
% 9.25/2.69 # No SInE strategy applied
% 9.25/2.69 # Trying AutoSched0 for 150 seconds
% 9.25/2.69 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2s
% 9.25/2.69 # and selection function SelectCQArNT.
% 9.25/2.69 #
% 9.25/2.69 # Preprocessing time : 0.031 s
% 9.25/2.69 # Presaturation interreduction done
% 9.25/2.69
% 9.25/2.69 # Proof found!
% 9.25/2.69 # SZS status Theorem
% 9.25/2.69 # SZS output start CNFRefutation
% See solution above
% 9.25/2.69 # Training examples: 0 positive, 0 negative
% 9.25/2.69
% 9.25/2.69 # -------------------------------------------------
% 9.25/2.69 # User time : 0.224 s
% 9.25/2.69 # System time : 0.012 s
% 9.25/2.69 # Total time : 0.236 s
% 9.25/2.69 # Maximum resident set size: 7120 pages
% 9.25/2.69
%------------------------------------------------------------------------------