TSTP Solution File: SET804+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 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 00:14:17 EDT 2022
% Result : Theorem 7.10s 2.35s
% Output : CNFRefutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 27 RR)
% Number of literals : 45 ( 6 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 31 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ least(X2,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_13) ).
cnf(i_0_36,negated_conjecture,
least(esk12_0,esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_36) ).
cnf(i_0_33,plain,
( member(X1,X2)
| ~ min(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_33) ).
cnf(i_0_39,negated_conjecture,
min(esk10_0,esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_39) ).
cnf(i_0_38,negated_conjecture,
min(esk11_0,esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_38) ).
cnf(i_0_32,plain,
( X1 = X2
| ~ member(X1,X3)
| ~ apply(X4,X1,X2)
| ~ min(X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_32) ).
cnf(i_0_14,plain,
( member(X1,X2)
| ~ least(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_14) ).
cnf(i_0_37,negated_conjecture,
esk11_0 != esk10_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j44d1fg0/lgb.p',i_0_37) ).
cnf(c_0_48,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ least(X2,X1,X4) ),
i_0_13 ).
cnf(c_0_49,negated_conjecture,
least(esk12_0,esk8_0,esk9_0),
i_0_36 ).
cnf(c_0_50,plain,
( member(X1,X2)
| ~ min(X1,X3,X2) ),
i_0_33 ).
cnf(c_0_51,negated_conjecture,
min(esk10_0,esk8_0,esk9_0),
i_0_39 ).
cnf(c_0_52,negated_conjecture,
( apply(esk8_0,esk12_0,X1)
| ~ member(X1,esk9_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
member(esk10_0,esk9_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
min(esk11_0,esk8_0,esk9_0),
i_0_38 ).
cnf(c_0_55,plain,
( X1 = X2
| ~ member(X1,X3)
| ~ apply(X4,X1,X2)
| ~ min(X2,X4,X3) ),
i_0_32 ).
cnf(c_0_56,negated_conjecture,
apply(esk8_0,esk12_0,esk10_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
( member(X1,X2)
| ~ least(X1,X3,X2) ),
i_0_14 ).
cnf(c_0_58,negated_conjecture,
member(esk11_0,esk9_0),
inference(spm,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_59,plain,
( esk12_0 = esk10_0
| ~ member(esk12_0,X1)
| ~ min(esk10_0,esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
member(esk12_0,esk9_0),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_61,negated_conjecture,
apply(esk8_0,esk12_0,esk11_0),
inference(spm,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
esk12_0 = esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_51]),c_0_60])]) ).
cnf(c_0_63,negated_conjecture,
apply(esk8_0,esk10_0,esk11_0),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
esk11_0 != esk10_0,
i_0_37 ).
cnf(c_0_65,plain,
( ~ member(esk10_0,X1)
| ~ min(esk11_0,esk8_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_63]),c_0_64]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_54]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 12:53:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.10/2.35 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.10/2.35 # No SInE strategy applied
% 7.10/2.35 # Trying AutoSched0 for 150 seconds
% 7.10/2.35 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00AA
% 7.10/2.35 # and selection function SelectLargestOrientable.
% 7.10/2.35 #
% 7.10/2.35 # Preprocessing time : 0.012 s
% 7.10/2.35 # Presaturation interreduction done
% 7.10/2.35
% 7.10/2.35 # Proof found!
% 7.10/2.35 # SZS status Theorem
% 7.10/2.35 # SZS output start CNFRefutation
% See solution above
% 7.10/2.35 # Training examples: 0 positive, 0 negative
% 7.10/2.35
% 7.10/2.35 # -------------------------------------------------
% 7.10/2.35 # User time : 0.012 s
% 7.10/2.35 # System time : 0.005 s
% 7.10/2.35 # Total time : 0.018 s
% 7.10/2.35 # Maximum resident set size: 7128 pages
% 7.10/2.35
%------------------------------------------------------------------------------