%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 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 00:14:12 EDT 2022
% Result : Theorem 7.11s 2.38s
% Output : CNFRefutation 7.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 9 unt; 6 nHn; 24 RR)
% Number of literals : 76 ( 8 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 2 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-_elph27s/lgb.p',i_0_13) ).
cnf(i_0_37,negated_conjecture,
least(esk10_0,esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_37) ).
cnf(i_0_14,plain,
( member(X1,X2)
| ~ least(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_14) ).
cnf(i_0_109,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ epred1_2(X4,X3)
| ~ apply(X4,X2,X1)
| ~ apply(X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_109) ).
cnf(i_0_30,plain,
( min(X1,X2,X3)
| apply(X2,esk7_3(X2,X3,X1),X1)
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_30) ).
cnf(i_0_36,negated_conjecture,
~ min(esk10_0,esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_36) ).
cnf(i_0_31,plain,
( min(X1,X2,X3)
| member(esk7_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_31) ).
cnf(i_0_29,plain,
( min(X1,X2,X3)
| esk7_3(X2,X3,X1) != X1
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_29) ).
cnf(i_0_35,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_35) ).
cnf(i_0_38,negated_conjecture,
order(esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_elph27s/lgb.p',i_0_38) ).
cnf(c_0_120,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ least(X2,X1,X4) ),
i_0_13 ).
cnf(c_0_121,negated_conjecture,
least(esk10_0,esk8_0,esk9_0),
i_0_37 ).
cnf(c_0_122,plain,
( member(X1,X2)
| ~ least(X1,X3,X2) ),
i_0_14 ).
cnf(c_0_123,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ epred1_2(X4,X3)
| ~ apply(X4,X2,X1)
| ~ apply(X4,X1,X2) ),
i_0_109 ).
cnf(c_0_124,negated_conjecture,
( apply(esk8_0,esk10_0,X1)
| ~ member(X1,esk9_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( min(X1,X2,X3)
| apply(X2,esk7_3(X2,X3,X1),X1)
| ~ member(X1,X3) ),
i_0_30 ).
cnf(c_0_126,negated_conjecture,
member(esk10_0,esk9_0),
inference(spm,[status(thm)],[c_0_122,c_0_121]) ).
cnf(c_0_127,negated_conjecture,
( X1 = esk10_0
| ~ member(esk10_0,X2)
| ~ member(X1,esk9_0)
| ~ member(X1,X2)
| ~ apply(esk8_0,X1,esk10_0)
| ~ epred1_2(esk8_0,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,negated_conjecture,
( apply(X1,esk7_3(X1,esk9_0,esk10_0),esk10_0)
| min(esk10_0,X1,esk9_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
~ min(esk10_0,esk8_0,esk9_0),
i_0_36 ).
cnf(c_0_130,plain,
( min(X1,X2,X3)
| member(esk7_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
i_0_31 ).
cnf(c_0_131,negated_conjecture,
( esk7_3(esk8_0,esk9_0,esk10_0) = esk10_0
| ~ member(esk7_3(esk8_0,esk9_0,esk10_0),esk9_0)
| ~ member(esk7_3(esk8_0,esk9_0,esk10_0),X1)
| ~ member(esk10_0,X1)
| ~ epred1_2(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( member(esk7_3(X1,esk9_0,esk10_0),esk9_0)
| min(esk10_0,X1,esk9_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( esk7_3(esk8_0,esk9_0,esk10_0) = esk10_0
| ~ member(esk7_3(esk8_0,esk9_0,esk10_0),X1)
| ~ member(esk10_0,X1)
| ~ epred1_2(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_129]) ).
cnf(c_0_134,plain,
( min(X1,X2,X3)
| esk7_3(X2,X3,X1) != X1
| ~ member(X1,X3) ),
i_0_29 ).
cnf(c_0_135,negated_conjecture,
( esk7_3(esk8_0,esk9_0,esk10_0) = esk10_0
| ~ epred1_2(esk8_0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_132]),c_0_126])]),c_0_129]) ).
cnf(c_0_136,plain,
~ epred1_2(esk8_0,esk9_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_126])]),c_0_129]) ).
cnf(c_0_137,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
i_0_35 ).
cnf(c_0_138,negated_conjecture,
order(esk8_0,esk9_0),
i_0_38 ).
cnf(c_0_139,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n010.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 05:16:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.11/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.11/2.38 # No SInE strategy applied
% 7.11/2.38 # Trying AutoSched0 for 150 seconds
% 7.11/2.38 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.11/2.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.11/2.38 #
% 7.11/2.38 # Preprocessing time : 0.013 s
% 7.11/2.38 # Presaturation interreduction done
% 7.11/2.38
% 7.11/2.38 # Proof found!
% 7.11/2.38 # SZS status Theorem
% 7.11/2.38 # SZS output start CNFRefutation
% See solution above
% 7.11/2.38 # Training examples: 0 positive, 0 negative
% 7.11/2.38
% 7.11/2.38 # -------------------------------------------------
% 7.11/2.38 # User time : 0.015 s
% 7.11/2.38 # System time : 0.004 s
% 7.11/2.38 # Total time : 0.020 s
% 7.11/2.38 # Maximum resident set size: 7128 pages
% 7.11/2.38
%------------------------------------------------------------------------------