%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV608+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 : 300s
% DateTime : Tue May 5 06:51:34 PM UTC 2026
% Result : Theorem 34.75s 25.05s
% Output : CNFRefutation 34.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 39 ( 13 ~; 10 |; 4 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X76] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X76)
=> ! [X82] :
( cColor_2egraph___24t(X82)
=> ! [X95] :
( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X95)
=> ( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X76),X82)) = cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X95)
=> cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X95,X82)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X82)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('Color.select_terminates',axiom,
! [X76] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X76)
=> ! [X82] :
( cColor_2egraph___24t(X82)
=> ! [X95] :
( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X95)
=> ( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X76),X82)) = cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X95)
=> cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X95,X82)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X82)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Color.select_terminates') ).
fof(c_0_2,negated_conjecture,
~ ! [X76] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X76)
=> ! [X82] :
( cColor_2egraph___24t(X82)
=> ! [X95] :
( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X95)
=> ( cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X76),X82)) = cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X95)
=> cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X95,X82)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X82)) ) ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_3,plain,
! [X2773,X2774,X2775] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2773)
| ~ cColor_2egraph___24t(X2774)
| ~ cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X2775)
| cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X2773),X2774)) != cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X2775)
| cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X2775,X2774)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X2774)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Color.select_terminates'])])]) ).
fof(c_0_4,negated_conjecture,
( cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)
& cColor_2egraph___24t(esk2_0)
& cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(esk3_0)
& cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(esk1_0),esk2_0)) = cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0)
& ~ cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(esk3_0,esk2_0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X3,X2)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cColor_2egraph___24t(X2)
| ~ cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X3)
| cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X1),X2)) != cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(esk1_0),esk2_0)) = cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
cColor_2egraph___24t(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
~ cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(esk3_0,esk2_0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X1,esk2_0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,esk2_0))
| cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0) != cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X1)
| ~ cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV608+1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.18/0.34 % Computer : n017.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 05:23:29 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.31/0.48 # ENIGMATIC: Selected SinE mode:
% 0.53/0.70 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.53/0.70 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.53/0.70 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 34.75/25.05 # ENIGMATIC: Solved by autoschedule:
% 34.75/25.05 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 34.75/25.05 # Trying AutoSched0 for 139 seconds
% 34.75/25.05 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 34.75/25.05 # and selection function SelectMaxLComplexAvoidPosPred.
% 34.75/25.05 #
% 34.75/25.05 # Preprocessing time : 0.043 s
% 34.75/25.05 # Presaturation interreduction done
% 34.75/25.05
% 34.75/25.05 # Proof found!
% 34.75/25.05 # SZS status Theorem
% 34.75/25.05 # SZS output start CNFRefutation
% See solution above
% 34.75/25.05 # Training examples: 0 positive, 0 negative
% 34.75/25.05
% 34.75/25.05 # -------------------------------------------------
% 34.75/25.05 # User time : 0.274 s
% 34.75/25.05 # System time : 0.029 s
% 34.75/25.05 # Total time : 0.303 s
% 34.75/25.05 # Maximum resident set size: 15116 pages
% 34.75/25.05
%------------------------------------------------------------------------------