TSTP Solution File: SET171+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET171+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 00:10:08 EDT 2022
% Result : Theorem 11.68s 2.95s
% Output : CNFRefutation 11.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 8 unt; 9 nHn; 27 RR)
% Number of literals : 68 ( 6 equ; 32 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_20,negated_conjecture,
intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)) != union(esk3_0,intersection(esk4_0,esk5_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_20) ).
cnf(i_0_17,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_17) ).
cnf(i_0_16,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_16) ).
cnf(i_0_4,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_4) ).
cnf(i_0_5,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_5) ).
cnf(i_0_2,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_2) ).
cnf(i_0_3,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_3) ).
cnf(i_0_1,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_1) ).
cnf(i_0_6,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x65bfdzi/input.p',i_0_6) ).
cnf(c_0_30,negated_conjecture,
intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)) != union(esk3_0,intersection(esk4_0,esk5_0)),
i_0_20 ).
cnf(c_0_31,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
i_0_17 ).
cnf(c_0_32,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
i_0_16 ).
cnf(c_0_33,negated_conjecture,
( ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))
| ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_34,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_4 ).
cnf(c_0_35,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_5 ).
cnf(c_0_36,negated_conjecture,
( member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))
| member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32])]) ).
cnf(c_0_37,plain,
( ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0)))
| ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk5_0))
| ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_2 ).
cnf(c_0_39,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_3 ).
cnf(c_0_40,plain,
( member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0)))
| member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_42,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_43,plain,
( member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk5_0))
| member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_44,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_6 ).
cnf(c_0_45,plain,
( ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk5_0))
| ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0))
| ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_42]) ).
cnf(c_0_46,plain,
member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk5_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_42]) ).
cnf(c_0_47,plain,
( member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0)))
| member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_48,plain,
( ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0))
| ~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_49,plain,
member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_46]),c_0_41]) ).
cnf(c_0_50,plain,
( member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0))
| member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_47]),c_0_41]) ).
cnf(c_0_51,plain,
~ member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_49])]),c_0_42]) ).
cnf(c_0_52,plain,
member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_51]) ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_52]),c_0_41]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET171+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 Jul 10 21:42:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 11.68/2.95 # ENIGMATIC: Solved by autoschedule:
% 11.68/2.95 # No SInE strategy applied
% 11.68/2.95 # Trying AutoSched0 for 150 seconds
% 11.68/2.95 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 11.68/2.95 # and selection function MSelectComplexExceptUniqMaxHorn.
% 11.68/2.95 #
% 11.68/2.95 # Preprocessing time : 0.013 s
% 11.68/2.95 # Presaturation interreduction done
% 11.68/2.95
% 11.68/2.95 # Proof found!
% 11.68/2.95 # SZS status Theorem
% 11.68/2.95 # SZS output start CNFRefutation
% See solution above
% 11.68/2.95 # Training examples: 0 positive, 0 negative
% 11.68/2.95
% 11.68/2.95 # -------------------------------------------------
% 11.68/2.95 # User time : 0.530 s
% 11.68/2.95 # System time : 0.025 s
% 11.68/2.95 # Total time : 0.555 s
% 11.68/2.95 # Maximum resident set size: 7128 pages
% 11.68/2.95
%------------------------------------------------------------------------------