%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 00:15:45 EDT 2022
% Result : Theorem 7.70s 2.31s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 43 ( 26 unt; 7 nHn; 26 RR)
% Number of literals : 74 ( 28 equ; 28 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_48,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_48) ).
cnf(i_0_38,plain,
empty(n0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_38) ).
cnf(i_0_30,plain,
( apply(esk10_1(X1),X2) = n0
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_30) ).
cnf(i_0_43,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_43) ).
cnf(i_0_4,plain,
element(esk1_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_4) ).
cnf(i_0_41,negated_conjecture,
( X1 = X2
| relation_dom(X2) != esk12_0
| relation_dom(X1) != esk12_0
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_41) ).
cnf(i_0_35,plain,
relation_dom(esk11_1(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_35) ).
cnf(i_0_37,plain,
relation(esk11_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_37) ).
cnf(i_0_36,plain,
function(esk11_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_36) ).
cnf(i_0_31,plain,
relation_dom(esk10_1(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_31) ).
cnf(i_0_33,plain,
relation(esk10_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_33) ).
cnf(i_0_32,plain,
function(esk10_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_32) ).
cnf(i_0_34,plain,
( apply(esk11_1(X1),X2) = n1
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_34) ).
cnf(i_0_40,negated_conjecture,
esk12_0 != empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_40) ).
cnf(i_0_39,plain,
~ empty(n1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_39) ).
cnf(i_0_7,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5wnyiaqk/input.p',i_0_7) ).
cnf(c_0_65,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_48 ).
cnf(c_0_66,plain,
empty(n0),
i_0_38 ).
cnf(c_0_67,plain,
( apply(esk10_1(X1),X2) = n0
| ~ in(X2,X1) ),
i_0_30 ).
cnf(c_0_68,plain,
n0 = empty_set,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_43 ).
cnf(c_0_70,plain,
element(esk1_1(X1),X1),
i_0_4 ).
cnf(c_0_71,negated_conjecture,
( X1 = X2
| relation_dom(X2) != esk12_0
| relation_dom(X1) != esk12_0
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_41 ).
cnf(c_0_72,plain,
relation_dom(esk11_1(X1)) = X1,
i_0_35 ).
cnf(c_0_73,plain,
relation(esk11_1(X1)),
i_0_37 ).
cnf(c_0_74,plain,
function(esk11_1(X1)),
i_0_36 ).
cnf(c_0_75,plain,
( apply(esk10_1(X1),X2) = empty_set
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,plain,
( in(esk1_1(X1),X1)
| empty(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
( X1 = esk11_1(esk12_0)
| relation_dom(X1) != esk12_0
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])])]) ).
cnf(c_0_78,plain,
relation_dom(esk10_1(X1)) = X1,
i_0_31 ).
cnf(c_0_79,plain,
relation(esk10_1(X1)),
i_0_33 ).
cnf(c_0_80,plain,
function(esk10_1(X1)),
i_0_32 ).
cnf(c_0_81,plain,
( apply(esk11_1(X1),X2) = n1
| ~ in(X2,X1) ),
i_0_34 ).
cnf(c_0_82,plain,
( apply(esk10_1(X1),esk1_1(X1)) = empty_set
| empty(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
esk10_1(esk12_0) = esk11_1(esk12_0),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])])]) ).
cnf(c_0_84,plain,
( apply(esk11_1(X1),esk1_1(X1)) = n1
| empty(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_76]) ).
cnf(c_0_85,plain,
( apply(esk11_1(esk12_0),esk1_1(esk12_0)) = empty_set
| empty(esk12_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,plain,
( n1 = empty_set
| empty(esk12_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,negated_conjecture,
esk12_0 != empty_set,
i_0_40 ).
cnf(c_0_88,plain,
~ empty(n1),
i_0_39 ).
cnf(c_0_89,plain,
n1 = empty_set,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_86]),c_0_87]) ).
cnf(c_0_90,plain,
empty(empty_set),
i_0_7 ).
cnf(c_0_91,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 : Sat Jul 9 23:38:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.70/2.31 # ENIGMATIC: Solved by autoschedule:
% 7.70/2.31 # No SInE strategy applied
% 7.70/2.31 # Trying AutoSched0 for 150 seconds
% 7.70/2.31 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 7.70/2.31 # and selection function SelectComplexG.
% 7.70/2.31 #
% 7.70/2.31 # Preprocessing time : 0.023 s
% 7.70/2.31
% 7.70/2.31 # Proof found!
% 7.70/2.31 # SZS status Theorem
% 7.70/2.31 # SZS output start CNFRefutation
% See solution above
% 7.70/2.31 # Training examples: 0 positive, 0 negative
% 7.70/2.31
% 7.70/2.31 # -------------------------------------------------
% 7.70/2.31 # User time : 0.026 s
% 7.70/2.31 # System time : 0.008 s
% 7.70/2.31 # Total time : 0.034 s
% 7.70/2.31 # Maximum resident set size: 7120 pages
% 7.70/2.31
%------------------------------------------------------------------------------