TSTP Solution File: SEU324+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:40:49 EDT 2022
% Result : Theorem 6.69s 2.17s
% Output : CNFRefutation 6.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 39 ( 15 unt; 2 nHn; 39 RR)
% Number of literals : 85 ( 20 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_31,plain,
( topstr_closure(X1,X2) = X2
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_31) ).
cnf(i_0_4,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_4) ).
cnf(i_0_27,plain,
( closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ open_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_27) ).
cnf(i_0_1,plain,
( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_1) ).
cnf(i_0_17,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_17) ).
cnf(i_0_16,plain,
( open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_16) ).
cnf(i_0_33,negated_conjecture,
( interior(esk7_0,esk9_0) = esk9_0
| interior(esk8_0,esk10_0) != esk10_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_33) ).
cnf(i_0_40,negated_conjecture,
topological_space(esk7_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_40) ).
cnf(i_0_39,negated_conjecture,
top_str(esk7_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_39) ).
cnf(i_0_37,negated_conjecture,
element(esk9_0,powerset(the_carrier(esk7_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_37) ).
cnf(i_0_32,negated_conjecture,
( interior(esk8_0,esk10_0) != esk10_0
| ~ open_subset(esk9_0,esk7_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_32) ).
cnf(i_0_36,negated_conjecture,
element(esk10_0,powerset(the_carrier(esk8_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_36) ).
cnf(i_0_38,negated_conjecture,
top_str(esk8_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_38) ).
cnf(i_0_35,negated_conjecture,
( interior(esk7_0,esk9_0) = esk9_0
| open_subset(esk10_0,esk8_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_35) ).
cnf(i_0_34,negated_conjecture,
( open_subset(esk10_0,esk8_0)
| ~ open_subset(esk9_0,esk7_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gkhydmj5/lgb.p',i_0_34) ).
cnf(c_0_56,plain,
( topstr_closure(X1,X2) = X2
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_31 ).
cnf(c_0_57,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_4 ).
cnf(c_0_58,plain,
( topstr_closure(X1,subset_complement(the_carrier(X1),X2)) = subset_complement(the_carrier(X1),X2)
| ~ closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,plain,
( closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ open_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_27 ).
cnf(c_0_60,plain,
( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_1 ).
cnf(c_0_61,plain,
( topstr_closure(X1,subset_complement(the_carrier(X1),X2)) = subset_complement(the_carrier(X1),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ open_subset(X2,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
i_0_17 ).
cnf(c_0_63,plain,
( subset_complement(the_carrier(X1),subset_complement(the_carrier(X1),X2)) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ open_subset(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
( open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_16 ).
cnf(c_0_65,negated_conjecture,
( interior(esk7_0,esk9_0) = esk9_0
| interior(esk8_0,esk10_0) != esk10_0 ),
i_0_33 ).
cnf(c_0_66,negated_conjecture,
topological_space(esk7_0),
i_0_40 ).
cnf(c_0_67,negated_conjecture,
top_str(esk7_0),
i_0_39 ).
cnf(c_0_68,negated_conjecture,
element(esk9_0,powerset(the_carrier(esk7_0))),
i_0_37 ).
cnf(c_0_69,negated_conjecture,
( interior(esk8_0,esk10_0) != esk10_0
| ~ open_subset(esk9_0,esk7_0) ),
i_0_32 ).
cnf(c_0_70,plain,
( interior(X1,X2) = X2
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ open_subset(X2,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
element(esk10_0,powerset(the_carrier(esk8_0))),
i_0_36 ).
cnf(c_0_72,negated_conjecture,
top_str(esk8_0),
i_0_38 ).
cnf(c_0_73,negated_conjecture,
interior(esk8_0,esk10_0) != esk10_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]),c_0_68])]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( interior(esk7_0,esk9_0) = esk9_0
| open_subset(esk10_0,esk8_0) ),
i_0_35 ).
cnf(c_0_75,negated_conjecture,
~ open_subset(esk10_0,esk8_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]),c_0_73]) ).
cnf(c_0_76,negated_conjecture,
interior(esk7_0,esk9_0) = esk9_0,
inference(sr,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( open_subset(esk10_0,esk8_0)
| ~ open_subset(esk9_0,esk7_0) ),
i_0_34 ).
cnf(c_0_78,plain,
open_subset(esk9_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_76]),c_0_66]),c_0_67]),c_0_68])]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 06:30:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 6.69/2.17 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.69/2.17 # No SInE strategy applied
% 6.69/2.17 # Trying AutoSched0 for 150 seconds
% 6.69/2.17 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 6.69/2.17 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.69/2.17 #
% 6.69/2.17 # Preprocessing time : 0.024 s
% 6.69/2.17
% 6.69/2.17 # Proof found!
% 6.69/2.17 # SZS status Theorem
% 6.69/2.17 # SZS output start CNFRefutation
% See solution above
% 6.69/2.17 # Training examples: 0 positive, 0 negative
% 6.69/2.17
% 6.69/2.17 # -------------------------------------------------
% 6.69/2.17 # User time : 0.027 s
% 6.69/2.17 # System time : 0.005 s
% 6.69/2.17 # Total time : 0.032 s
% 6.69/2.17 # Maximum resident set size: 7120 pages
% 6.69/2.17
%------------------------------------------------------------------------------