TSTP Solution File: SET611+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET611+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 00:12:46 EDT 2022
% Result : Theorem 11.64s 2.85s
% Output : CNFRefutation 11.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of clauses : 59 ( 11 unt; 19 nHn; 42 RR)
% Number of literals : 120 ( 19 equ; 52 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_7) ).
cnf(i_0_24,negated_conjecture,
( intersection(esk5_0,esk6_0) = empty_set
| difference(esk5_0,esk6_0) = esk5_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_24) ).
cnf(i_0_4,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_4) ).
cnf(i_0_22,plain,
( empty(X1)
| member(esk4_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_22) ).
cnf(i_0_9,plain,
~ member(X1,empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_9) ).
cnf(i_0_1,plain,
( X1 = X2
| member(esk1_2(X1,X2),X2)
| member(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_1) ).
cnf(i_0_5,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_5) ).
cnf(i_0_23,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_23) ).
cnf(i_0_3,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_3) ).
cnf(i_0_8,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_8) ).
cnf(i_0_6,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_6) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_18) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_19) ).
cnf(i_0_25,negated_conjecture,
( intersection(esk5_0,esk6_0) != empty_set
| difference(esk5_0,esk6_0) != esk5_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_25) ).
cnf(i_0_10,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2ru341d0/input.p',i_0_10) ).
cnf(c_0_41,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_7 ).
cnf(c_0_42,negated_conjecture,
( intersection(esk5_0,esk6_0) = empty_set
| difference(esk5_0,esk6_0) = esk5_0 ),
i_0_24 ).
cnf(c_0_43,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_4 ).
cnf(c_0_44,plain,
( empty(X1)
| member(esk4_1(X1),X1) ),
i_0_22 ).
cnf(c_0_45,plain,
~ member(X1,empty_set),
i_0_9 ).
cnf(c_0_46,plain,
( X1 = X2
| member(esk1_2(X1,X2),X2)
| member(esk1_2(X1,X2),X1) ),
i_0_1 ).
cnf(c_0_47,negated_conjecture,
( intersection(esk5_0,esk6_0) = empty_set
| ~ member(X1,esk5_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( empty(intersection(X1,X2))
| member(esk4_1(intersection(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_5 ).
cnf(c_0_50,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
i_0_23 ).
cnf(c_0_51,plain,
( X1 = empty_set
| member(esk1_2(X1,empty_set),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_3 ).
cnf(c_0_53,negated_conjecture,
( intersection(esk5_0,esk6_0) = empty_set
| empty(intersection(X1,esk6_0))
| ~ member(esk4_1(intersection(X1,esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( empty(intersection(X1,X2))
| member(esk4_1(intersection(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_44]) ).
cnf(c_0_55,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( ~ empty(intersection(X1,X2))
| ~ member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_57,plain,
intersection(esk5_0,esk6_0) = empty_set,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_58,plain,
empty(empty_set),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_59,plain,
( ~ member(X1,esk6_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_60,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_8 ).
cnf(c_0_61,plain,
( empty(intersection(esk6_0,X1))
| ~ member(esk4_1(intersection(esk6_0,X1)),esk5_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_62,plain,
( empty(intersection(X1,difference(X2,X3)))
| member(esk4_1(intersection(X1,difference(X2,X3))),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_48]) ).
cnf(c_0_63,plain,
empty(intersection(esk6_0,difference(esk5_0,X1))),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
( empty(difference(X1,X2))
| ~ member(esk4_1(difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_65,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_6 ).
cnf(c_0_66,plain,
( ~ member(X1,difference(esk5_0,X2))
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_63]) ).
cnf(c_0_67,plain,
( empty(difference(X1,difference(X2,X3)))
| member(esk4_1(difference(X1,difference(X2,X3))),X3)
| ~ member(esk4_1(difference(X1,difference(X2,X3))),X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
( empty(difference(X1,X2))
| member(esk4_1(difference(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_69,plain,
( empty(difference(esk5_0,X1))
| ~ member(esk4_1(difference(esk5_0,X1)),esk6_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_44]) ).
cnf(c_0_70,plain,
( empty(difference(X1,difference(X1,X2)))
| member(esk4_1(difference(X1,difference(X1,X2))),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,plain,
empty(difference(esk5_0,difference(esk5_0,esk6_0))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,plain,
( member(X1,X2)
| ~ empty(difference(X3,X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_65]) ).
cnf(c_0_73,plain,
difference(esk5_0,difference(esk5_0,esk6_0)) = empty_set,
inference(spm,[status(thm)],[c_0_55,c_0_71]) ).
cnf(c_0_74,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
i_0_18 ).
cnf(c_0_75,plain,
( member(X1,difference(esk5_0,esk6_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_58])]) ).
cnf(c_0_76,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
i_0_19 ).
cnf(c_0_77,plain,
( subset(X1,difference(esk5_0,esk6_0))
| ~ member(esk3_2(X1,difference(esk5_0,esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
( member(esk3_2(difference(X1,X2),X3),X1)
| subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
( intersection(esk5_0,esk6_0) != empty_set
| difference(esk5_0,esk6_0) != esk5_0 ),
i_0_25 ).
cnf(c_0_80,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_10 ).
cnf(c_0_81,plain,
subset(esk5_0,difference(esk5_0,esk6_0)),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_82,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_74,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
difference(esk5_0,esk6_0) != esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_57])]) ).
cnf(c_0_84,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]),c_0_83]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET611+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n003.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 : Sun Jul 10 14:32:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 11.64/2.85 # ENIGMATIC: Solved by autoschedule:
% 11.64/2.85 # No SInE strategy applied
% 11.64/2.85 # Trying AutoSched0 for 150 seconds
% 11.64/2.85 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 11.64/2.85 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.64/2.85 #
% 11.64/2.85 # Preprocessing time : 0.024 s
% 11.64/2.85
% 11.64/2.85 # Proof found!
% 11.64/2.85 # SZS status Theorem
% 11.64/2.85 # SZS output start CNFRefutation
% See solution above
% 11.64/2.85 # Training examples: 0 positive, 0 negative
% 11.64/2.85
% 11.64/2.85 # -------------------------------------------------
% 11.64/2.85 # User time : 0.501 s
% 11.64/2.85 # System time : 0.025 s
% 11.64/2.85 # Total time : 0.526 s
% 11.64/2.85 # Maximum resident set size: 7120 pages
% 11.64/2.85
%------------------------------------------------------------------------------