%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU309+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 08:40:39 EDT 2022
% Result : Theorem 7.80s 2.46s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 18 unt; 2 nHn; 35 RR)
% Number of literals : 76 ( 19 equ; 43 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 56 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_43,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_43) ).
cnf(i_0_127,negated_conjecture,
one_sorted_str(esk6_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_127) ).
cnf(i_0_125,negated_conjecture,
subset_difference(the_carrier(esk6_0),cast_as_carrier_subset(esk6_0),subset_difference(the_carrier(esk6_0),cast_as_carrier_subset(esk6_0),esk7_0)) != esk7_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_125) ).
cnf(i_0_131,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_131) ).
cnf(i_0_122,plain,
subset(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_122) ).
cnf(i_0_129,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_129) ).
cnf(i_0_50,plain,
( element(subset_difference(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_50) ).
cnf(i_0_56,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_56) ).
cnf(i_0_121,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_121) ).
cnf(i_0_126,negated_conjecture,
element(esk7_0,powerset(the_carrier(esk6_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_126) ).
cnf(i_0_41,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_41) ).
cnf(i_0_124,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_124) ).
cnf(i_0_120,plain,
( subset_intersection2(X1,X2,X3) = set_difference(X2,set_difference(X2,X3))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_120) ).
cnf(i_0_123,plain,
( subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1)) = X2
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kkvxxsqp/lgb.p',i_0_123) ).
cnf(c_0_146,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
i_0_43 ).
cnf(c_0_147,negated_conjecture,
one_sorted_str(esk6_0),
i_0_127 ).
cnf(c_0_148,negated_conjecture,
subset_difference(the_carrier(esk6_0),cast_as_carrier_subset(esk6_0),subset_difference(the_carrier(esk6_0),cast_as_carrier_subset(esk6_0),esk7_0)) != esk7_0,
i_0_125 ).
cnf(c_0_149,negated_conjecture,
cast_as_carrier_subset(esk6_0) = the_carrier(esk6_0),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_150,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_131 ).
cnf(c_0_151,plain,
subset(X1,X1),
i_0_122 ).
cnf(c_0_152,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_129 ).
cnf(c_0_153,plain,
( element(subset_difference(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_50 ).
cnf(c_0_154,plain,
~ empty(powerset(X1)),
i_0_56 ).
cnf(c_0_155,negated_conjecture,
subset_difference(the_carrier(esk6_0),the_carrier(esk6_0),subset_difference(the_carrier(esk6_0),the_carrier(esk6_0),esk7_0)) != esk7_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149]),c_0_149]) ).
cnf(c_0_156,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_121 ).
cnf(c_0_157,negated_conjecture,
element(esk7_0,powerset(the_carrier(esk6_0))),
i_0_126 ).
cnf(c_0_158,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_159,plain,
( in(subset_difference(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_160,plain,
subset_difference(the_carrier(esk6_0),the_carrier(esk6_0),set_difference(the_carrier(esk6_0),esk7_0)) != esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158])]) ).
cnf(c_0_161,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
i_0_41 ).
cnf(c_0_162,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_124 ).
cnf(c_0_163,plain,
( in(set_difference(X1,X2),powerset(X3))
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3)) ),
inference(spm,[status(thm)],[c_0_159,c_0_156]) ).
cnf(c_0_164,plain,
( set_difference(esk7_0,set_difference(esk7_0,the_carrier(esk6_0))) != esk7_0
| ~ element(set_difference(the_carrier(esk6_0),esk7_0),powerset(the_carrier(esk6_0))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_156]),c_0_158])]),c_0_161]) ).
cnf(c_0_165,plain,
( element(set_difference(X1,X2),powerset(X3))
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3)) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_166,plain,
set_difference(esk7_0,set_difference(esk7_0,the_carrier(esk6_0))) != esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_157]),c_0_158])]) ).
cnf(c_0_167,plain,
( subset_intersection2(X1,X2,X3) = set_difference(X2,set_difference(X2,X3))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_120 ).
cnf(c_0_168,plain,
( subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1)) = X2
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_123 ).
cnf(c_0_169,plain,
( subset_intersection2(X1,esk7_0,the_carrier(esk6_0)) != esk7_0
| ~ element(the_carrier(esk6_0),powerset(X1))
| ~ element(esk7_0,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,plain,
( subset_intersection2(the_carrier(esk6_0),X1,the_carrier(esk6_0)) = X1
| ~ element(X1,powerset(the_carrier(esk6_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_149]),c_0_147])]) ).
cnf(c_0_171,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_158]),c_0_157])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU309+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n012.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 13:55:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.80/2.46 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.80/2.46 # No SInE strategy applied
% 7.80/2.46 # Trying AutoSched0 for 150 seconds
% 7.80/2.46 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.80/2.46 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.80/2.46 #
% 7.80/2.46 # Preprocessing time : 0.027 s
% 7.80/2.46
% 7.80/2.46 # Proof found!
% 7.80/2.46 # SZS status Theorem
% 7.80/2.46 # SZS output start CNFRefutation
% See solution above
% 7.80/2.46 # Training examples: 0 positive, 0 negative
% 7.80/2.46
% 7.80/2.46 # -------------------------------------------------
% 7.80/2.46 # User time : 0.037 s
% 7.80/2.46 # System time : 0.006 s
% 7.80/2.46 # Total time : 0.043 s
% 7.80/2.46 # Maximum resident set size: 7128 pages
% 7.80/2.46
%------------------------------------------------------------------------------