TSTP Solution File: SET012+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET012+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 00:07:57 EDT 2022
% Result : Theorem 7.26s 2.38s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 44 ( 10 unt; 7 nHn; 40 RR)
% Number of literals : 86 ( 0 equ; 46 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_24,negated_conjecture,
~ equal_set(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_24) ).
cnf(i_0_5,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_5) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_18) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_19) ).
cnf(i_0_1,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_1) ).
cnf(i_0_20,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_20) ).
cnf(i_0_25,negated_conjecture,
subset(esk4_0,esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_25) ).
cnf(i_0_2,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_2) ).
cnf(i_0_3,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_3) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_12) ).
cnf(i_0_11,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t9c1sm5z/lgb.p',i_0_11) ).
cnf(c_0_37,negated_conjecture,
~ equal_set(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),
i_0_24 ).
cnf(c_0_38,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_5 ).
cnf(c_0_39,negated_conjecture,
( ~ subset(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0)))
| ~ subset(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_18 ).
cnf(c_0_41,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
i_0_19 ).
cnf(c_0_42,negated_conjecture,
( ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk4_0)
| ~ subset(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),difference(esk5_0,difference(esk5_0,esk4_0)))
| ~ subset(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_44,plain,
( ~ member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),difference(esk5_0,difference(esk5_0,esk4_0)))
| ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_45,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_46,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_20 ).
cnf(c_0_47,negated_conjecture,
subset(esk4_0,esk5_0),
i_0_25 ).
cnf(c_0_48,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_2 ).
cnf(c_0_49,plain,
( member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),difference(esk5_0,difference(esk5_0,esk4_0)))
| member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_50,plain,
( member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),difference(esk5_0,esk4_0))
| ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk4_0)
| ~ member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk4_0)
| ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_53,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_3 ).
cnf(c_0_54,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
i_0_12 ).
cnf(c_0_55,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
i_0_11 ).
cnf(c_0_56,plain,
( member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk4_0)
| ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),difference(esk5_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_58,plain,
( member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk4_0)
| member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
cnf(c_0_59,plain,
( member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),difference(esk5_0,difference(esk5_0,esk4_0)))
| ~ member(esk4_0,power_set(difference(esk5_0,difference(esk5_0,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_43,c_0_54]) ).
cnf(c_0_60,plain,
( member(X1,power_set(X2))
| ~ member(esk2_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_61,plain,
member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk4_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_45]),c_0_57]),c_0_58]) ).
cnf(c_0_62,plain,
( ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),difference(esk5_0,esk4_0))
| ~ member(esk4_0,power_set(difference(esk5_0,difference(esk5_0,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_59]) ).
cnf(c_0_63,plain,
( member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk5_0)
| ~ member(esk4_0,power_set(difference(esk5_0,difference(esk5_0,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_53,c_0_59]) ).
cnf(c_0_64,plain,
( ~ member(esk2_2(difference(esk5_0,difference(esk5_0,esk4_0)),esk4_0),esk4_0)
| ~ member(esk4_0,power_set(difference(esk5_0,difference(esk5_0,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_65,plain,
( member(esk2_2(X1,difference(X2,X3)),X3)
| member(X1,power_set(difference(X2,X3)))
| ~ member(esk2_2(X1,difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_45]) ).
cnf(c_0_66,negated_conjecture,
member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),esk5_0),
inference(spm,[status(thm)],[c_0_51,c_0_61]) ).
cnf(c_0_67,plain,
~ member(esk4_0,power_set(difference(esk5_0,difference(esk5_0,esk4_0)))),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_45]),c_0_63]),c_0_64]) ).
cnf(c_0_68,negated_conjecture,
member(esk2_2(esk4_0,difference(esk5_0,difference(esk5_0,esk4_0))),difference(esk5_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_69,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_68]),c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET012+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n014.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 19:01:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # 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
% 7.26/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.26/2.38 # No SInE strategy applied
% 7.26/2.38 # Trying AutoSched0 for 150 seconds
% 7.26/2.38 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.26/2.38 # and selection function SelectVGNonCR.
% 7.26/2.38 #
% 7.26/2.38 # Preprocessing time : 0.023 s
% 7.26/2.38 # Presaturation interreduction done
% 7.26/2.38
% 7.26/2.38 # Proof found!
% 7.26/2.38 # SZS status Theorem
% 7.26/2.38 # SZS output start CNFRefutation
% See solution above
% 7.26/2.38 # Training examples: 0 positive, 0 negative
% 7.26/2.38
% 7.26/2.38 # -------------------------------------------------
% 7.26/2.38 # User time : 0.037 s
% 7.26/2.38 # System time : 0.007 s
% 7.26/2.38 # Total time : 0.044 s
% 7.26/2.38 # Maximum resident set size: 7128 pages
% 7.26/2.38
%------------------------------------------------------------------------------