TSTP Solution File: SEU147+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:38:51 EDT 2022
% Result : Theorem 7.47s 2.39s
% Output : CNFRefutation 7.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 7 unt; 4 nHn; 13 RR)
% Number of literals : 43 ( 23 equ; 17 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_5) ).
cnf(i_0_17,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_17) ).
cnf(i_0_6,plain,
( X1 = powerset(X2)
| in(esk2_2(X2,X1),X1)
| subset(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_6) ).
cnf(i_0_14,negated_conjecture,
singleton(empty_set) != powerset(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_14) ).
cnf(i_0_4,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_4) ).
cnf(i_0_7,plain,
( X1 = powerset(X2)
| ~ in(esk2_2(X2,X1),X1)
| ~ subset(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_7) ).
cnf(i_0_13,plain,
subset(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ulw0jyk8/input.p',i_0_13) ).
cnf(c_0_25,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_5 ).
cnf(c_0_26,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
i_0_17 ).
cnf(c_0_27,plain,
( X1 = powerset(X2)
| in(esk2_2(X2,X1),X1)
| subset(esk2_2(X2,X1),X2) ),
i_0_6 ).
cnf(c_0_28,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( esk2_2(empty_set,X1) = empty_set
| X1 = powerset(empty_set)
| in(esk2_2(empty_set,X1),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( esk2_2(empty_set,singleton(X1)) = empty_set
| esk2_2(empty_set,singleton(X1)) = X1
| singleton(X1) = powerset(empty_set) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
singleton(empty_set) != powerset(empty_set),
i_0_14 ).
cnf(c_0_32,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_4 ).
cnf(c_0_33,plain,
( X1 = powerset(X2)
| ~ in(esk2_2(X2,X1),X1)
| ~ subset(esk2_2(X2,X1),X2) ),
i_0_7 ).
cnf(c_0_34,plain,
esk2_2(empty_set,singleton(empty_set)) = empty_set,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_30])]),c_0_31]) ).
cnf(c_0_35,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])]) ).
cnf(c_0_36,plain,
subset(X1,X1),
i_0_13 ).
cnf(c_0_37,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 22:10:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.47/2.39 # ENIGMATIC: Solved by autoschedule:
% 7.47/2.39 # No SInE strategy applied
% 7.47/2.39 # Trying AutoSched0 for 150 seconds
% 7.47/2.39 # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.47/2.39 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.47/2.39 #
% 7.47/2.39 # Preprocessing time : 0.012 s
% 7.47/2.39
% 7.47/2.39 # Proof found!
% 7.47/2.39 # SZS status Theorem
% 7.47/2.39 # SZS output start CNFRefutation
% See solution above
% 7.47/2.39 # Training examples: 0 positive, 0 negative
% 7.47/2.39
% 7.47/2.39 # -------------------------------------------------
% 7.47/2.39 # User time : 0.012 s
% 7.47/2.39 # System time : 0.005 s
% 7.47/2.39 # Total time : 0.017 s
% 7.47/2.39 # Maximum resident set size: 7120 pages
% 7.47/2.39
%------------------------------------------------------------------------------