TSTP Solution File: SET600+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET600+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 00:12:36 EDT 2022
% Result : Theorem 7.35s 2.29s
% Output : CNFRefutation 7.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 9 unt; 15 nHn; 20 RR)
% Number of literals : 72 ( 33 equ; 24 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
~ member(X1,empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_4) ).
cnf(i_0_10,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_10) ).
cnf(i_0_1,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_1) ).
cnf(i_0_19,negated_conjecture,
( esk5_0 = empty_set
| union(esk4_0,esk5_0) = empty_set ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_19) ).
cnf(i_0_5,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/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-y0nd60fc/input.p',i_0_2) ).
cnf(i_0_20,negated_conjecture,
( empty_set = esk4_0
| union(esk4_0,esk5_0) = empty_set ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_20) ).
cnf(i_0_15,plain,
( X1 = X2
| member(esk3_2(X1,X2),X2)
| member(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_15) ).
cnf(i_0_3,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_3) ).
cnf(i_0_21,negated_conjecture,
( empty_set != esk4_0
| esk5_0 != empty_set
| union(esk4_0,esk5_0) != empty_set ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_21) ).
cnf(i_0_8,plain,
union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y0nd60fc/input.p',i_0_8) ).
cnf(c_0_33,plain,
~ member(X1,empty_set),
i_0_4 ).
cnf(c_0_34,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
i_0_10 ).
cnf(c_0_35,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_36,negated_conjecture,
( esk5_0 = empty_set
| union(esk4_0,esk5_0) = empty_set ),
i_0_19 ).
cnf(c_0_37,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_5 ).
cnf(c_0_38,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( esk5_0 = empty_set
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33]) ).
cnf(c_0_40,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_2 ).
cnf(c_0_41,negated_conjecture,
( empty_set = esk4_0
| union(esk4_0,esk5_0) = empty_set ),
i_0_20 ).
cnf(c_0_42,plain,
( X1 = X2
| member(esk3_2(X1,X2),X2)
| member(esk3_2(X1,X2),X1) ),
i_0_15 ).
cnf(c_0_43,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( esk5_0 = empty_set
| subset(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( esk4_0 = empty_set
| ~ member(X1,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33]) ).
cnf(c_0_46,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_3 ).
cnf(c_0_47,plain,
( X1 = empty_set
| member(esk3_2(X1,empty_set),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( empty_set != esk4_0
| esk5_0 != empty_set
| union(esk4_0,esk5_0) != empty_set ),
i_0_21 ).
cnf(c_0_49,plain,
esk5_0 = empty_set,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
union(X1,X2) = union(X2,X1),
i_0_8 ).
cnf(c_0_51,plain,
( esk4_0 = empty_set
| subset(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_34]) ).
cnf(c_0_52,plain,
( union(X1,X2) = empty_set
| member(esk3_2(union(X1,X2),empty_set),X1)
| member(esk3_2(union(X1,X2),empty_set),X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( union(empty_set,esk4_0) != empty_set
| esk4_0 != empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_49])]) ).
cnf(c_0_54,plain,
esk4_0 = empty_set,
inference(spm,[status(thm)],[c_0_43,c_0_51]) ).
cnf(c_0_55,plain,
( union(X1,X1) = empty_set
| member(esk3_2(union(X1,X1),empty_set),X1) ),
inference(ef,[status(thm)],[c_0_52]) ).
cnf(c_0_56,negated_conjecture,
union(empty_set,empty_set) != empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54])]) ).
cnf(c_0_57,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.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 Jul 9 22:42:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.43 # ENIGMATIC: Selected complete mode:
% 7.35/2.29 # ENIGMATIC: Solved by autoschedule:
% 7.35/2.29 # No SInE strategy applied
% 7.35/2.29 # Trying AutoSched0 for 150 seconds
% 7.35/2.29 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.35/2.29 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.35/2.29 #
% 7.35/2.29 # Preprocessing time : 0.023 s
% 7.35/2.29
% 7.35/2.29 # Proof found!
% 7.35/2.29 # SZS status Theorem
% 7.35/2.29 # SZS output start CNFRefutation
% See solution above
% 7.35/2.29 # Training examples: 0 positive, 0 negative
% 7.35/2.29
% 7.35/2.29 # -------------------------------------------------
% 7.35/2.29 # User time : 0.026 s
% 7.35/2.29 # System time : 0.007 s
% 7.35/2.29 # Total time : 0.033 s
% 7.35/2.29 # Maximum resident set size: 7120 pages
% 7.35/2.29
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