TSTP Solution File: GEO470+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO470+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 : Sat Jul 16 03:45:53 EDT 2022
% Result : Theorem 12.51s 6.89s
% Output : CNFRefutation 12.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 22 unt; 4 nHn; 31 RR)
% Number of literals : 66 ( 26 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1352,plain,
( s(bool,X1) != s(bool,f0)
| ~ p(s(bool,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_1352) ).
cnf(i_0_468,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,esk78_0),bool),esk80_0))),s(num,i(s(fun(fun(cart(real,esk78_0),bool),num),dim),s(fun(cart(real,esk78_0),bool),esk79_0)))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_468) ).
cnf(i_0_2117,plain,
( s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X2))) = s(num,X3)
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X1,bool),fun(num,bool)),hasu_size),s(fun(X1,bool),X2))),s(num,X3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_2117) ).
cnf(i_0_1736,plain,
s(bool,i(s(fun(num,bool),i(s(fun(fun(X1,bool),fun(num,bool)),hasu_size),s(fun(X1,bool),X2))),s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X2))))) = s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_1736) ).
cnf(i_0_467,negated_conjecture,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk79_0))),s(fun(cart(real,esk78_0),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(cart(real,esk78_0),bool)),span),s(fun(cart(real,esk78_0),bool),esk80_0))))) != s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),independent),s(fun(cart(real,esk78_0),bool),esk80_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_467) ).
cnf(i_0_425,plain,
( s(bool,X1) = s(bool,t)
| s(bool,X1) = s(bool,f0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_425) ).
cnf(i_0_2887,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X2))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_2887) ).
cnf(i_0_582,plain,
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),independent),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),finite),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),card),s(fun(cart(real,X1),bool),X2))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X3))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X3))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_582) ).
cnf(i_0_62,plain,
p(s(bool,t)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_62) ).
cnf(i_0_4490,plain,
~ p(s(bool,f0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_4490) ).
cnf(i_0_1355,plain,
( s(bool,X1) = s(bool,t)
| ~ p(s(bool,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_1355) ).
cnf(i_0_497,plain,
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X2))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X3))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),independent),s(fun(cart(real,X1),bool),X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X3))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),card),s(fun(cart(real,X1),bool),X3)))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_497) ).
cnf(i_0_469,negated_conjecture,
p(s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk80_0))),s(fun(cart(real,esk78_0),bool),esk79_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fa97fgu9/lgb.p',i_0_469) ).
cnf(c_0_4504,plain,
( s(bool,X1) != s(bool,f0)
| ~ p(s(bool,X1)) ),
i_0_1352 ).
cnf(c_0_4505,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,esk78_0),bool),esk80_0))),s(num,i(s(fun(fun(cart(real,esk78_0),bool),num),dim),s(fun(cart(real,esk78_0),bool),esk79_0)))))),
i_0_468 ).
cnf(c_0_4506,plain,
( s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X2))) = s(num,X3)
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X1,bool),fun(num,bool)),hasu_size),s(fun(X1,bool),X2))),s(num,X3)))) ),
i_0_2117 ).
cnf(c_0_4507,plain,
s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,esk78_0),bool),esk80_0))),s(num,i(s(fun(fun(cart(real,esk78_0),bool),num),dim),s(fun(cart(real,esk78_0),bool),esk79_0))))) != s(bool,f0),
inference(spm,[status(thm)],[c_0_4504,c_0_4505]) ).
cnf(c_0_4508,negated_conjecture,
s(num,i(s(fun(fun(cart(real,esk78_0),bool),num),dim),s(fun(cart(real,esk78_0),bool),esk79_0))) = s(num,i(s(fun(fun(cart(real,esk78_0),bool),num),card),s(fun(cart(real,esk78_0),bool),esk80_0))),
inference(spm,[status(thm)],[c_0_4506,c_0_4505]) ).
cnf(c_0_4509,plain,
s(bool,i(s(fun(num,bool),i(s(fun(fun(X1,bool),fun(num,bool)),hasu_size),s(fun(X1,bool),X2))),s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X2))))) = s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))),
i_0_1736 ).
cnf(c_0_4510,negated_conjecture,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk79_0))),s(fun(cart(real,esk78_0),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(cart(real,esk78_0),bool)),span),s(fun(cart(real,esk78_0),bool),esk80_0))))) != s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),independent),s(fun(cart(real,esk78_0),bool),esk80_0))),
i_0_467 ).
cnf(c_0_4511,plain,
( s(bool,X1) = s(bool,t)
| s(bool,X1) = s(bool,f0) ),
i_0_425 ).
cnf(c_0_4512,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X2))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1)))) ),
i_0_2887 ).
cnf(c_0_4513,plain,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),finite),s(fun(cart(real,esk78_0),bool),esk80_0))) != s(bool,f0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4507,c_0_4508]),c_0_4509]) ).
cnf(c_0_4514,plain,
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),independent),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),finite),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),card),s(fun(cart(real,X1),bool),X2))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X3))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X3))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ),
i_0_582 ).
cnf(c_0_4515,plain,
( s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk79_0))),s(fun(cart(real,esk78_0),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(cart(real,esk78_0),bool)),span),s(fun(cart(real,esk78_0),bool),esk80_0))))) = s(bool,t)
| s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),independent),s(fun(cart(real,esk78_0),bool),esk80_0))) != s(bool,f0) ),
inference(spm,[status(thm)],[c_0_4510,c_0_4511]) ).
cnf(c_0_4516,plain,
p(s(bool,t)),
i_0_62 ).
cnf(c_0_4517,plain,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X1)))),
inference(ef,[status(thm)],[c_0_4512]) ).
cnf(c_0_4518,plain,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),finite),s(fun(cart(real,esk78_0),bool),esk80_0))) = s(bool,t),
inference(spm,[status(thm)],[c_0_4513,c_0_4511]) ).
cnf(c_0_4519,plain,
( p(s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),independent),s(fun(cart(real,esk78_0),bool),esk80_0))))
| s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),independent),s(fun(cart(real,esk78_0),bool),esk80_0))) != s(bool,f0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4514,c_0_4515]),c_0_4516]),c_0_4508]),c_0_4517]),c_0_4518]),c_0_4516])]) ).
cnf(c_0_4520,plain,
~ p(s(bool,f0)),
i_0_4490 ).
cnf(c_0_4521,plain,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),independent),s(fun(cart(real,esk78_0),bool),esk80_0))) = s(bool,t),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4519,c_0_4511]),c_0_4520]) ).
cnf(c_0_4522,plain,
( s(bool,X1) = s(bool,t)
| ~ p(s(bool,X1)) ),
i_0_1355 ).
cnf(c_0_4523,plain,
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X2))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X3))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),independent),s(fun(cart(real,X1),bool),X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X3))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),card),s(fun(cart(real,X1),bool),X3)))))) ),
i_0_497 ).
cnf(c_0_4524,negated_conjecture,
p(s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk80_0))),s(fun(cart(real,esk78_0),bool),esk79_0)))),
i_0_469 ).
cnf(c_0_4525,negated_conjecture,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk79_0))),s(fun(cart(real,esk78_0),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(cart(real,esk78_0),bool)),span),s(fun(cart(real,esk78_0),bool),esk80_0))))) != s(bool,t),
inference(rw,[status(thm)],[c_0_4510,c_0_4521]) ).
cnf(c_0_4526,plain,
( s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X2))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X3))))) = s(bool,t)
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),card),s(fun(cart(real,X1),bool),X3))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X3))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),independent),s(fun(cart(real,X1),bool),X3)))) ),
inference(spm,[status(thm)],[c_0_4522,c_0_4523]) ).
cnf(c_0_4527,plain,
s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X1))) = s(bool,t),
inference(spm,[status(thm)],[c_0_4522,c_0_4517]) ).
cnf(c_0_4528,plain,
s(bool,i(s(fun(fun(cart(real,esk78_0),bool),bool),i(s(fun(fun(cart(real,esk78_0),bool),fun(fun(cart(real,esk78_0),bool),bool)),subset),s(fun(cart(real,esk78_0),bool),esk80_0))),s(fun(cart(real,esk78_0),bool),esk79_0))) = s(bool,t),
inference(spm,[status(thm)],[c_0_4522,c_0_4524]) ).
cnf(c_0_4529,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4525,c_0_4526]),c_0_4508]),c_0_4527]),c_0_4516]),c_0_4528]),c_0_4516]),c_0_4521]),c_0_4516])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO470+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.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 : Fri Jun 17 18:23:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.61/0.83 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.83 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.61/0.83 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.61/0.83 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.51/6.89 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.51/6.89 # No SInE strategy applied
% 12.51/6.89 # Trying AutoSched0 for 148 seconds
% 12.51/6.89 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 12.51/6.89 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.51/6.89 #
% 12.51/6.89 # Preprocessing time : 0.024 s
% 12.51/6.89
% 12.51/6.89 # Proof found!
% 12.51/6.89 # SZS status Theorem
% 12.51/6.89 # SZS output start CNFRefutation
% See solution above
% 12.51/6.89 # Training examples: 0 positive, 0 negative
% 12.51/6.89
% 12.51/6.89 # -------------------------------------------------
% 12.51/6.89 # User time : 0.123 s
% 12.51/6.89 # System time : 0.004 s
% 12.51/6.89 # Total time : 0.127 s
% 12.51/6.89 # Maximum resident set size: 7896 pages
% 12.51/6.89
%------------------------------------------------------------------------------