TSTP Solution File: SET936+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET936+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 00:15:23 EDT 2022
% Result : Theorem 8.59s 2.67s
% Output : CNFRefutation 8.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 14 unt; 8 nHn; 29 RR)
% Number of literals : 78 ( 14 equ; 32 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 63 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_17) ).
cnf(i_0_2,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_2) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| X3 != powerset(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_6) ).
cnf(i_0_22,negated_conjecture,
powerset(set_intersection2(esk6_0,esk7_0)) != set_intersection2(powerset(esk6_0),powerset(esk7_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_22) ).
cnf(i_0_7,plain,
( X1 = set_intersection2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_7) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_19) ).
cnf(i_0_5,plain,
( in(X1,X2)
| X2 != powerset(X3)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_5) ).
cnf(i_0_8,plain,
( X1 = set_intersection2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_8) ).
cnf(i_0_18,plain,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_18) ).
cnf(i_0_9,plain,
( X1 = set_intersection2(X2,X3)
| ~ in(esk2_3(X2,X3,X1),X1)
| ~ in(esk2_3(X2,X3,X1),X3)
| ~ in(esk2_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bfggiwrh/input.p',i_0_9) ).
cnf(c_0_33,plain,
subset(set_intersection2(X1,X2),X1),
i_0_17 ).
cnf(c_0_34,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_2 ).
cnf(c_0_35,plain,
( subset(X1,X2)
| X3 != powerset(X2)
| ~ in(X1,X3) ),
i_0_6 ).
cnf(c_0_36,negated_conjecture,
powerset(set_intersection2(esk6_0,esk7_0)) != set_intersection2(powerset(esk6_0),powerset(esk7_0)),
i_0_22 ).
cnf(c_0_37,plain,
( X1 = set_intersection2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X3) ),
i_0_7 ).
cnf(c_0_38,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
i_0_19 ).
cnf(c_0_39,plain,
subset(set_intersection2(X1,X2),X2),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(set_intersection2(esk6_0,esk7_0)))
| in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk7_0)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_42,plain,
( in(X1,X2)
| X2 != powerset(X3)
| ~ subset(X1,X3) ),
i_0_5 ).
cnf(c_0_43,plain,
( X1 = set_intersection2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X2) ),
i_0_8 ).
cnf(c_0_44,plain,
( subset(X1,X2)
| ~ subset(X1,set_intersection2(X3,X2)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk7_0))
| subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),set_intersection2(esk6_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(set_intersection2(esk6_0,esk7_0)))
| in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk6_0)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_43])]) ).
cnf(c_0_48,plain,
in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk7_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,plain,
( subset(X1,X2)
| ~ subset(X1,set_intersection2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_50,plain,
( in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk6_0))
| subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),set_intersection2(esk6_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_51,plain,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
i_0_18 ).
cnf(c_0_52,plain,
subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),esk7_0),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_53,plain,
in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk6_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_46]) ).
cnf(c_0_54,plain,
( X1 = set_intersection2(X2,X3)
| ~ in(esk2_3(X2,X3,X1),X1)
| ~ in(esk2_3(X2,X3,X1),X3)
| ~ in(esk2_3(X2,X3,X1),X2) ),
i_0_9 ).
cnf(c_0_55,plain,
( subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),set_intersection2(X1,esk7_0))
| ~ subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),esk6_0),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
cnf(c_0_57,plain,
( ~ in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(set_intersection2(esk6_0,esk7_0)))
| ~ in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(esk6_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_36]) ).
cnf(c_0_58,plain,
subset(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),set_intersection2(esk6_0,esk7_0)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
~ in(esk2_3(powerset(esk6_0),powerset(esk7_0),powerset(set_intersection2(esk6_0,esk7_0))),powerset(set_intersection2(esk6_0,esk7_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_53])]) ).
cnf(c_0_60,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_58]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET936+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n005.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 : Sun Jul 10 02:02:08 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.59/2.67 # ENIGMATIC: Solved by autoschedule:
% 8.59/2.67 # No SInE strategy applied
% 8.59/2.67 # Trying AutoSched0 for 150 seconds
% 8.59/2.67 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S006A
% 8.59/2.67 # and selection function SelectLargestNegLit.
% 8.59/2.67 #
% 8.59/2.67 # Preprocessing time : 0.023 s
% 8.59/2.67 # Presaturation interreduction done
% 8.59/2.67
% 8.59/2.67 # Proof found!
% 8.59/2.67 # SZS status Theorem
% 8.59/2.67 # SZS output start CNFRefutation
% See solution above
% 8.59/2.67 # Training examples: 0 positive, 0 negative
% 8.59/2.67
% 8.59/2.67 # -------------------------------------------------
% 8.59/2.67 # User time : 0.154 s
% 8.59/2.67 # System time : 0.009 s
% 8.59/2.67 # Total time : 0.163 s
% 8.59/2.67 # Maximum resident set size: 7120 pages
% 8.59/2.67
%------------------------------------------------------------------------------