%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV678+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 06:51:39 PM UTC 2026
% Result : Theorem 23.06s 15.54s
% Output : CNFRefutation 23.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 32 ( 11 ~; 10 |; 4 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
( ! [X70] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X70)
=> cUseAuto_2eP___24a1(X70) )
=> p(cUseAuto_2emyFact) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_def_UseAuto.myFact',axiom,
( p(cUseAuto_2emyFact)
<=> ! [X70] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X70)
=> ( cCoq_2eInit_2ePeano_2ele___24a2(X70,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))
=> cUseAuto_2eP___24a1(X70) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_UseAuto.myFact') ).
fof(c_0_2,negated_conjecture,
~ ( ! [X70] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X70)
=> cUseAuto_2eP___24a1(X70) )
=> p(cUseAuto_2emyFact) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_3,plain,
! [X2848] :
( ( ~ p(cUseAuto_2emyFact)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2848)
| ~ cCoq_2eInit_2ePeano_2ele___24a2(X2848,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))
| cUseAuto_2eP___24a1(X2848) )
& ( cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)
| p(cUseAuto_2emyFact) )
& ( cCoq_2eInit_2ePeano_2ele___24a2(esk1_0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))
| p(cUseAuto_2emyFact) )
& ( ~ cUseAuto_2eP___24a1(esk1_0)
| p(cUseAuto_2emyFact) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_UseAuto.myFact'])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X2847] :
( ( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2847)
| cUseAuto_2eP___24a1(X2847) )
& ~ p(cUseAuto_2emyFact) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( p(cUseAuto_2emyFact)
| ~ cUseAuto_2eP___24a1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ p(cUseAuto_2emyFact),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)
| p(cUseAuto_2emyFact) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
~ cUseAuto_2eP___24a1(esk1_0),
inference(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( cUseAuto_2eP___24a1(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0),
inference(sr,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV678+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 08:25:03 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.28/0.49 # ENIGMATIC: Selected SinE mode:
% 0.45/0.68 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.68 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.45/0.68 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.45/0.68 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 23.06/15.54 # ENIGMATIC: Solved by autoschedule:
% 23.06/15.54 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 23.06/15.54 # Trying AutoSched0 for 144 seconds
% 23.06/15.54 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 23.06/15.54 # and selection function SelectMaxLComplexAvoidPosPred.
% 23.06/15.54 #
% 23.06/15.54 # Preprocessing time : 0.032 s
% 23.06/15.54
% 23.06/15.54 # Proof found!
% 23.06/15.54 # SZS status Theorem
% 23.06/15.54 # SZS output start CNFRefutation
% See solution above
% 23.06/15.54 # Training examples: 0 positive, 0 negative
% 23.06/15.54
% 23.06/15.54 # -------------------------------------------------
% 23.06/15.54 # User time : 0.222 s
% 23.06/15.54 # System time : 0.015 s
% 23.06/15.54 # Total time : 0.238 s
% 23.06/15.54 # Maximum resident set size: 14128 pages
% 23.06/15.54
%------------------------------------------------------------------------------