TSTP Solution File: SET595+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 00:12:33 EDT 2022
% Result : Theorem 13.75s 3.14s
% Output : CNFRefutation 13.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of clauses : 58 ( 16 unt; 21 nHn; 27 RR)
% Number of literals : 113 ( 9 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 113 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_11) ).
cnf(i_0_10,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_10) ).
cnf(i_0_22,negated_conjecture,
subset(esk4_0,esk5_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_22) ).
cnf(i_0_6,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_6) ).
cnf(i_0_9,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_9) ).
cnf(i_0_7,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_7) ).
cnf(i_0_8,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_8) ).
cnf(i_0_12,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_12) ).
cnf(i_0_5,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_5) ).
cnf(i_0_3,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_3) ).
cnf(i_0_15,plain,
union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_15) ).
cnf(i_0_4,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_4) ).
cnf(i_0_21,negated_conjecture,
union(esk4_0,difference(esk5_0,esk4_0)) != esk5_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lwu9z_k5/lgb.p',i_0_21) ).
cnf(c_0_36,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_11 ).
cnf(c_0_37,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
i_0_10 ).
cnf(c_0_38,plain,
( member(esk2_2(X1,X2),X3)
| subset(X1,X2)
| ~ subset(X1,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
subset(esk4_0,esk5_0),
i_0_22 ).
cnf(c_0_40,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_6 ).
cnf(c_0_41,negated_conjecture,
( member(esk2_2(esk4_0,X1),esk5_0)
| subset(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_9 ).
cnf(c_0_43,negated_conjecture,
( member(esk2_2(esk4_0,X1),difference(esk5_0,X2))
| member(esk2_2(esk4_0,X1),X2)
| subset(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_7 ).
cnf(c_0_45,plain,
( member(esk2_2(esk4_0,difference(esk5_0,X1)),X1)
| subset(esk4_0,difference(esk5_0,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( subset(esk4_0,difference(esk5_0,difference(X1,X2)))
| ~ member(esk2_2(esk4_0,difference(esk5_0,difference(X1,X2))),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,negated_conjecture,
subset(esk4_0,difference(esk5_0,difference(X1,esk5_0))),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_48,plain,
( member(esk2_2(esk4_0,X1),difference(esk5_0,difference(X2,esk5_0)))
| subset(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_49,plain,
( member(esk2_2(X1,X2),difference(X1,X3))
| member(esk2_2(X1,X2),X3)
| subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_50,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_8 ).
cnf(c_0_51,plain,
( subset(esk4_0,X1)
| ~ member(esk2_2(esk4_0,X1),difference(X2,esk5_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_48]) ).
cnf(c_0_52,plain,
( member(esk2_2(X1,difference(X1,X2)),X2)
| subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_53,plain,
( member(esk2_2(difference(X1,X2),X3),X1)
| subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_37]) ).
cnf(c_0_54,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_12 ).
cnf(c_0_55,plain,
subset(esk4_0,difference(esk4_0,difference(X1,esk5_0))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_42,c_0_53]) ).
cnf(c_0_57,plain,
difference(esk4_0,difference(X1,esk5_0)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_58,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_5 ).
cnf(c_0_59,plain,
( ~ member(X1,difference(X2,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_57]) ).
cnf(c_0_60,plain,
( member(esk2_2(union(X1,X2),X3),X2)
| member(esk2_2(union(X1,X2),X3),X1)
| subset(union(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
cnf(c_0_61,plain,
( member(esk2_2(X1,X2),esk5_0)
| subset(X1,X2)
| ~ member(esk2_2(X1,X2),esk4_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_62,plain,
( member(esk2_2(union(X1,X2),X1),X2)
| subset(union(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_63,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_3 ).
cnf(c_0_64,plain,
( member(esk2_2(union(X1,esk4_0),X1),esk5_0)
| subset(union(X1,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
union(X1,X2) = union(X2,X1),
i_0_15 ).
cnf(c_0_66,plain,
( subset(X1,union(X2,X3))
| ~ member(esk2_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_63]) ).
cnf(c_0_67,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_4 ).
cnf(c_0_68,plain,
subset(union(esk4_0,esk5_0),esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_64]),c_0_65]) ).
cnf(c_0_69,plain,
subset(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_66,c_0_37]) ).
cnf(c_0_70,plain,
( subset(X1,union(X2,X3))
| ~ member(esk2_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_67]) ).
cnf(c_0_71,plain,
union(esk4_0,esk5_0) = esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_68]),c_0_69])]) ).
cnf(c_0_72,plain,
( subset(X1,esk5_0)
| ~ member(esk2_2(X1,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,plain,
( member(esk2_2(union(esk4_0,X1),esk5_0),X1)
| subset(union(esk4_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_60]) ).
cnf(c_0_74,plain,
( member(esk2_2(union(esk4_0,difference(X1,X2)),esk5_0),X1)
| subset(union(esk4_0,difference(X1,X2)),esk5_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
cnf(c_0_75,plain,
subset(union(esk4_0,difference(esk5_0,X1)),esk5_0),
inference(spm,[status(thm)],[c_0_42,c_0_74]) ).
cnf(c_0_76,plain,
( member(esk2_2(X1,union(X2,difference(X1,X3))),X3)
| subset(X1,union(X2,difference(X1,X3))) ),
inference(spm,[status(thm)],[c_0_66,c_0_49]) ).
cnf(c_0_77,plain,
( union(esk4_0,difference(esk5_0,X1)) = esk5_0
| ~ subset(esk5_0,union(esk4_0,difference(esk5_0,X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_75]) ).
cnf(c_0_78,plain,
subset(X1,union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_70,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
union(esk4_0,difference(esk5_0,esk4_0)) != esk5_0,
i_0_21 ).
cnf(c_0_80,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 12:48:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 13.75/3.14 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.75/3.14 # No SInE strategy applied
% 13.75/3.14 # Trying AutoSched0 for 150 seconds
% 13.75/3.14 # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 13.75/3.14 # and selection function SelectComplexExceptUniqMaxHorn.
% 13.75/3.14 #
% 13.75/3.14 # Preprocessing time : 0.024 s
% 13.75/3.14 # Presaturation interreduction done
% 13.75/3.14
% 13.75/3.14 # Proof found!
% 13.75/3.14 # SZS status Theorem
% 13.75/3.14 # SZS output start CNFRefutation
% See solution above
% 13.75/3.14 # Training examples: 0 positive, 0 negative
% 13.75/3.14
% 13.75/3.14 # -------------------------------------------------
% 13.75/3.14 # User time : 0.848 s
% 13.75/3.14 # System time : 0.031 s
% 13.75/3.14 # Total time : 0.880 s
% 13.75/3.14 # Maximum resident set size: 7124 pages
% 13.75/3.14
%------------------------------------------------------------------------------