%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV629+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 06:51:36 PM UTC 2026
% Result : Theorem 86.30s 80.22s
% Output : CNFRefutation 86.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 51 ( 3 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 46 ( 17 ~; 17 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 3 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_def_Coq.Relations.Relation_Definitions.reflexive',axiom,
! [X42,X134] :
( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X42,X134)
<=> ! [X131] :
( t(X131,X42)
=> p(happ(happ(X134,X131),X131)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Coq.Relations.Relation_Definitions.reflexive') ).
fof('$adef_HahnSets.set_subset_$a3',axiom,
! [X2813,X2814,X2815] :
( p(happ(happ(happ(cHahnSets_2eset__subset,X2813),X2814),X2815))
<=> cHahnSets_2eset__subset___24a3(X2813,X2814,X2815) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_HahnSets.set_subset_$a3') ).
fof('$_def_HahnSets.set_subset',axiom,
! [X42,X452,X453] :
( cHahnSets_2eset__subset___24a3(X42,X452,X453)
<=> ! [X24] :
( t(X24,X42)
=> ( p(happ(X452,X24))
=> p(happ(X453,X24)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_HahnSets.set_subset') ).
fof('$adef_HahnSets.set_subset_$a1',axiom,
! [X2813] : happ(cHahnSets_2eset__subset,X2813) = cHahnSets_2eset__subset___24a1(X2813),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_HahnSets.set_subset_$a1') ).
fof(c_0_5,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_6,plain,
! [X2836,X2837,X2838,X2839,X2840] :
( ( ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2836,X2837)
| ~ t(X2838,X2836)
| p(happ(happ(X2837,X2838),X2838)) )
& ( t(esk1_2(X2839,X2840),X2839)
| cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2839,X2840) )
& ( ~ p(happ(happ(X2840,esk1_2(X2839,X2840)),esk1_2(X2839,X2840)))
| cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2839,X2840) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_Coq.Relations.Relation_Definitions.reflexive'])])])])])]) ).
fof(c_0_7,plain,
! [X2844,X2845,X2846] :
( ( ~ p(happ(happ(happ(cHahnSets_2eset__subset,X2844),X2845),X2846))
| cHahnSets_2eset__subset___24a3(X2844,X2845,X2846) )
& ( ~ cHahnSets_2eset__subset___24a3(X2844,X2845,X2846)
| p(happ(happ(happ(cHahnSets_2eset__subset,X2844),X2845),X2846)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$adef_HahnSets.set_subset_$a3'])]) ).
fof(c_0_8,plain,
! [X2855,X2856,X2857,X2858,X2859,X2860,X2861] :
( ( ~ cHahnSets_2eset__subset___24a3(X2855,X2856,X2857)
| ~ t(X2858,X2855)
| ~ p(happ(X2856,X2858))
| p(happ(X2857,X2858)) )
& ( t(esk5_3(X2859,X2860,X2861),X2859)
| cHahnSets_2eset__subset___24a3(X2859,X2860,X2861) )
& ( p(happ(X2860,esk5_3(X2859,X2860,X2861)))
| cHahnSets_2eset__subset___24a3(X2859,X2860,X2861) )
& ( ~ p(happ(X2861,esk5_3(X2859,X2860,X2861)))
| cHahnSets_2eset__subset___24a3(X2859,X2860,X2861) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_HahnSets.set_subset'])])])])])]) ).
fof(c_0_9,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
! [X2842] : happ(cHahnSets_2eset__subset,X2842) = cHahnSets_2eset__subset___24a1(X2842),
inference(variable_rename,[status(thm)],['$adef_HahnSets.set_subset_$a1']) ).
cnf(c_0_11,plain,
( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2,X1)
| ~ p(happ(happ(X1,esk1_2(X2,X1)),esk1_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( p(happ(happ(happ(cHahnSets_2eset__subset,X1),X2),X3))
| ~ cHahnSets_2eset__subset___24a3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( cHahnSets_2eset__subset___24a3(X2,X3,X1)
| ~ p(happ(X1,esk5_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( p(happ(X1,esk5_3(X2,X1,X3)))
| cHahnSets_2eset__subset___24a3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
happ(cHahnSets_2eset__subset,X1) = cHahnSets_2eset__subset___24a1(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X1,happ(cHahnSets_2eset__subset,X2))
| ~ cHahnSets_2eset__subset___24a3(X2,esk1_2(X1,happ(cHahnSets_2eset__subset,X2)),esk1_2(X1,happ(cHahnSets_2eset__subset,X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
cHahnSets_2eset__subset___24a3(X1,X2,X2),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA)),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X1,happ(cHahnSets_2eset__subset,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV629+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.34 % Computer : n018.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 06:20:18 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.29/0.47 # ENIGMATIC: Selected SinE mode:
% 0.37/0.62 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.37/0.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.37/0.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 78.86/76.77 [LightGBM] [Fatal] Input format error when parsing as LibSVM
% 78.86/76.78 [17049] Failed to execute script predict4sine1
% 78.86/76.78 Traceback (most recent call last):
% 78.86/76.78 File "predict4sine1.py", line 24, in <module>
% 78.86/76.78 File "site-packages/lightgbm/basic.py", line 1037, in construct
% 78.86/76.78 File "site-packages/lightgbm/basic.py", line 833, in _lazy_init
% 78.86/76.78 File "site-packages/lightgbm/basic.py", line 47, in _safe_call
% 78.86/76.78 lightgbm.basic.LightGBMError: Input format error when parsing as LibSVM
% 81.88/79.59 Traceback (most recent call last):
% 81.88/79.59 File "./select.py", line 11, in <module>
% 81.88/79.59 pred = float(parts[0])
% 81.88/79.59 ValueError: could not convert string to float: 'cnf(i_0_9,'
% 86.30/80.22 # ENIGMATIC: Solved by autoschedule:
% 86.30/80.22 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 86.30/80.22 # Trying AutoSched0 for 111 seconds
% 86.30/80.22 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 86.30/80.22 # and selection function SelectComplexExceptUniqMaxHorn.
% 86.30/80.22 #
% 86.30/80.22 # Preprocessing time : 0.028 s
% 86.30/80.22 # Presaturation interreduction done
% 86.30/80.22
% 86.30/80.22 # Proof found!
% 86.30/80.22 # SZS status Theorem
% 86.30/80.22 # SZS output start CNFRefutation
% See solution above
% 86.30/80.22 # Training examples: 0 positive, 0 negative
% 86.30/80.22
% 86.30/80.22 # -------------------------------------------------
% 86.30/80.22 # User time : 0.171 s
% 86.30/80.22 # System time : 0.019 s
% 86.30/80.22 # Total time : 0.191 s
% 86.30/80.22 # Maximum resident set size: 14416 pages
% 86.30/80.22
%------------------------------------------------------------------------------