TSTP Solution File: SET697+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET697+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 00:13:31 EDT 2022
% Result : Theorem 7.21s 2.39s
% Output : CNFRefutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 56 ( 12 unt; 9 nHn; 51 RR)
% Number of literals : 111 ( 0 equ; 58 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_7) ).
cnf(i_0_24,negated_conjecture,
( subset(esk4_0,esk5_0)
| equal_set(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_24) ).
cnf(i_0_20,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_20) ).
cnf(i_0_4,plain,
~ member(X1,empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_4) ).
cnf(i_0_11,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_11) ).
cnf(i_0_25,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ equal_set(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_25) ).
cnf(i_0_5,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_5) ).
cnf(i_0_8,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_8) ).
cnf(i_0_27,negated_conjecture,
subset(esk4_0,esk6_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_27) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_12) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_19) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_18) ).
cnf(i_0_1,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_1) ).
cnf(i_0_9,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_2) ).
cnf(i_0_10,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_hgfxcmm/lgb.p',i_0_10) ).
cnf(c_0_44,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
i_0_7 ).
cnf(c_0_45,negated_conjecture,
( subset(esk4_0,esk5_0)
| equal_set(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set) ),
i_0_24 ).
cnf(c_0_46,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_20 ).
cnf(c_0_47,plain,
( subset(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set)
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
~ member(X1,empty_set),
i_0_4 ).
cnf(c_0_49,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
i_0_11 ).
cnf(c_0_50,plain,
( subset(esk4_0,esk5_0)
| ~ member(X1,intersection(esk4_0,difference(esk6_0,esk5_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ equal_set(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set) ),
i_0_25 ).
cnf(c_0_52,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_5 ).
cnf(c_0_53,plain,
( member(esk4_0,power_set(esk5_0))
| ~ member(X1,intersection(esk4_0,difference(esk6_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_8 ).
cnf(c_0_55,negated_conjecture,
subset(esk4_0,esk6_0),
i_0_27 ).
cnf(c_0_56,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
i_0_12 ).
cnf(c_0_57,plain,
( ~ subset(empty_set,intersection(esk4_0,difference(esk6_0,esk5_0)))
| ~ subset(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set)
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
i_0_19 ).
cnf(c_0_59,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_18 ).
cnf(c_0_60,plain,
( member(esk4_0,power_set(esk5_0))
| ~ member(X1,difference(esk6_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_62,negated_conjecture,
( member(X1,esk6_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
cnf(c_0_63,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
cnf(c_0_64,plain,
( ~ subset(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set)
| ~ subset(esk4_0,esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_48]) ).
cnf(c_0_65,plain,
( member(X1,power_set(X2))
| ~ member(esk2_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_59]) ).
cnf(c_0_66,plain,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_67,plain,
( ~ member(intersection(esk4_0,difference(esk6_0,esk5_0)),power_set(empty_set))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
cnf(c_0_68,plain,
( member(X1,power_set(esk5_0))
| ~ member(esk2_2(X1,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( member(esk2_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
cnf(c_0_70,plain,
( ~ member(intersection(esk4_0,difference(esk6_0,esk5_0)),power_set(empty_set))
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_56]) ).
cnf(c_0_71,plain,
member(esk4_0,power_set(esk5_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( member(intersection(esk4_0,difference(esk6_0,esk5_0)),power_set(empty_set))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_73,plain,
~ member(intersection(esk4_0,difference(esk6_0,esk5_0)),power_set(empty_set)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_74,plain,
( member(esk2_2(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set),intersection(esk4_0,difference(esk6_0,esk5_0)))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_58]) ).
cnf(c_0_75,plain,
subset(esk4_0,esk5_0),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_9 ).
cnf(c_0_77,plain,
member(esk2_2(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set),intersection(esk4_0,difference(esk6_0,esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).
cnf(c_0_78,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_2 ).
cnf(c_0_79,plain,
member(esk2_2(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set),difference(esk6_0,esk5_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_10 ).
cnf(c_0_81,plain,
~ member(esk2_2(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set),esk5_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
member(esk2_2(intersection(esk4_0,difference(esk6_0,esk5_0)),empty_set),esk4_0),
inference(spm,[status(thm)],[c_0_80,c_0_77]) ).
cnf(c_0_83,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_66]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET697+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 02:49:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.21/2.39 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.21/2.39 # No SInE strategy applied
% 7.21/2.39 # Trying AutoSched0 for 150 seconds
% 7.21/2.39 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 7.21/2.39 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.21/2.39 #
% 7.21/2.39 # Preprocessing time : 0.022 s
% 7.21/2.39 # Presaturation interreduction done
% 7.21/2.39
% 7.21/2.39 # Proof found!
% 7.21/2.39 # SZS status Theorem
% 7.21/2.39 # SZS output start CNFRefutation
% See solution above
% 7.21/2.39 # Training examples: 0 positive, 0 negative
% 7.21/2.39
% 7.21/2.39 # -------------------------------------------------
% 7.21/2.39 # User time : 0.028 s
% 7.21/2.39 # System time : 0.006 s
% 7.21/2.39 # Total time : 0.033 s
% 7.21/2.39 # Maximum resident set size: 7128 pages
% 7.21/2.39
%------------------------------------------------------------------------------