%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV607+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 142.14s 22.45s
% Output : CNFRefutation 142.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 18 unt; 3 nHn; 38 RR)
% Number of literals : 74 ( 21 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_342,plain,
( happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1) = cCoq_2eInit_2eDatatypes_2etrue
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1) = cCoq_2eInit_2eDatatypes_2efalse
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_342) ).
cnf(i_0_2656,negated_conjecture,
cCoq_2eNumbers_2eBinNums_2eZ___24t(esk222_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_2656) ).
cnf(i_0_1152,plain,
( p(happ(cCoq_2eZArith_2eZeven_2eZodd,X1))
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1) != cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_1152) ).
cnf(i_0_2654,negated_conjecture,
~ p(happ(cCoq_2eZArith_2eZeven_2eZodd,esk222_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_2654) ).
cnf(i_0_401,plain,
( happ(cCoq_2eInit_2eDatatypes_2enegb,X1) = cCoq_2eInit_2eDatatypes_2etrue
| X1 != cCoq_2eInit_2eDatatypes_2efalse
| ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_401) ).
cnf(i_0_4520,plain,
cCoq_2eInit_2eDatatypes_2ebool___24t(cCoq_2eInit_2eDatatypes_2efalse),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_4520) ).
cnf(i_0_903,plain,
( happ(cCoq_2eInit_2eDatatypes_2enegb,happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1)) = happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eeven,X1)
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_903) ).
cnf(i_0_1141,plain,
( p(happ(cCoq_2eZArith_2eZeven_2eZeven,X1))
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eeven,X1) != cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_1141) ).
cnf(i_0_317,plain,
( p(happ(cCoq_2eZArith_2eZeven_2eZeven,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X1),X1)))
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
| ~ p(happ(cCoq_2eZArith_2eZeven_2eZeven,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_317) ).
cnf(i_0_1146,plain,
( ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
| ~ p(happ(cCoq_2eZArith_2eZeven_2eZeven,X1))
| ~ p(happ(cCoq_2eZArith_2eZeven_2eZodd,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_1146) ).
cnf(i_0_2655,negated_conjecture,
p(happ(cCoq_2eZArith_2eZeven_2eZodd,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,esk222_0),esk222_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_2655) ).
cnf(i_0_1084,plain,
( happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X1),X1) = happ(cCoq_2eZArith_2eBinIntDef_2eZ_2esquare,X1)
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_1084) ).
cnf(i_0_4430,plain,
( cCoq_2eNumbers_2eBinNums_2eZ___24t(happ(happ(X1,X2),X3))
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X3)
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)
| ~ c_24__type__45___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_4430) ).
cnf(i_0_4622,plain,
c_24__type__45___24t(cCoq_2eZArith_2eBinIntDef_2eZ_2emul),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zoozgq21/input.p',i_0_4622) ).
cnf(c_0_4637,plain,
( happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1) = cCoq_2eInit_2eDatatypes_2etrue
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1) = cCoq_2eInit_2eDatatypes_2efalse
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
i_0_342 ).
cnf(c_0_4638,negated_conjecture,
cCoq_2eNumbers_2eBinNums_2eZ___24t(esk222_0),
i_0_2656 ).
cnf(c_0_4639,plain,
( p(happ(cCoq_2eZArith_2eZeven_2eZodd,X1))
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1) != cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
i_0_1152 ).
cnf(c_0_4640,negated_conjecture,
( happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,esk222_0) = cCoq_2eInit_2eDatatypes_2etrue
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,esk222_0) = cCoq_2eInit_2eDatatypes_2efalse ),
inference(spm,[status(thm)],[c_0_4637,c_0_4638]) ).
cnf(c_0_4641,negated_conjecture,
~ p(happ(cCoq_2eZArith_2eZeven_2eZodd,esk222_0)),
i_0_2654 ).
cnf(c_0_4642,plain,
( happ(cCoq_2eInit_2eDatatypes_2enegb,X1) = cCoq_2eInit_2eDatatypes_2etrue
| X1 != cCoq_2eInit_2eDatatypes_2efalse
| ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X1) ),
i_0_401 ).
cnf(c_0_4643,plain,
cCoq_2eInit_2eDatatypes_2ebool___24t(cCoq_2eInit_2eDatatypes_2efalse),
i_0_4520 ).
cnf(c_0_4644,plain,
( happ(cCoq_2eInit_2eDatatypes_2enegb,happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,X1)) = happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eeven,X1)
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
i_0_903 ).
cnf(c_0_4645,plain,
happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,esk222_0) = cCoq_2eInit_2eDatatypes_2efalse,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4639,c_0_4640]),c_0_4638])]),c_0_4641]) ).
cnf(c_0_4646,plain,
happ(cCoq_2eInit_2eDatatypes_2enegb,cCoq_2eInit_2eDatatypes_2efalse) = cCoq_2eInit_2eDatatypes_2etrue,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_4642]),c_0_4643])]) ).
cnf(c_0_4647,plain,
( p(happ(cCoq_2eZArith_2eZeven_2eZeven,X1))
| happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eeven,X1) != cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
i_0_1141 ).
cnf(c_0_4648,plain,
happ(cCoq_2eZArith_2eBinIntDef_2eZ_2eeven,esk222_0) = cCoq_2eInit_2eDatatypes_2etrue,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4644,c_0_4645]),c_0_4646]),c_0_4638])]) ).
cnf(c_0_4649,plain,
( p(happ(cCoq_2eZArith_2eZeven_2eZeven,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X1),X1)))
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
| ~ p(happ(cCoq_2eZArith_2eZeven_2eZeven,X1)) ),
i_0_317 ).
cnf(c_0_4650,plain,
p(happ(cCoq_2eZArith_2eZeven_2eZeven,esk222_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4647,c_0_4648]),c_0_4638])]) ).
cnf(c_0_4651,plain,
( ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
| ~ p(happ(cCoq_2eZArith_2eZeven_2eZeven,X1))
| ~ p(happ(cCoq_2eZArith_2eZeven_2eZodd,X1)) ),
i_0_1146 ).
cnf(c_0_4652,plain,
p(happ(cCoq_2eZArith_2eZeven_2eZeven,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,esk222_0),esk222_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4649,c_0_4650]),c_0_4638])]) ).
cnf(c_0_4653,negated_conjecture,
p(happ(cCoq_2eZArith_2eZeven_2eZodd,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,esk222_0),esk222_0))),
i_0_2655 ).
cnf(c_0_4654,plain,
~ cCoq_2eNumbers_2eBinNums_2eZ___24t(happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,esk222_0),esk222_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4651,c_0_4652]),c_0_4653])]) ).
cnf(c_0_4655,plain,
( happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X1),X1) = happ(cCoq_2eZArith_2eBinIntDef_2eZ_2esquare,X1)
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
i_0_1084 ).
cnf(c_0_4656,plain,
( cCoq_2eNumbers_2eBinNums_2eZ___24t(happ(happ(X1,X2),X3))
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X3)
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)
| ~ c_24__type__45___24t(X1) ),
i_0_4430 ).
cnf(c_0_4657,plain,
c_24__type__45___24t(cCoq_2eZArith_2eBinIntDef_2eZ_2emul),
i_0_4622 ).
cnf(c_0_4658,plain,
~ cCoq_2eNumbers_2eBinNums_2eZ___24t(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2esquare,esk222_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4654,c_0_4655]),c_0_4638])]) ).
cnf(c_0_4659,plain,
( cCoq_2eNumbers_2eBinNums_2eZ___24t(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2esquare,X1))
| ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4656,c_0_4655]),c_0_4657])]) ).
cnf(c_0_4660,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4658,c_0_4659]),c_0_4638])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV607+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.34 % Computer : n028.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 05:22:02 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.29/0.48 # ENIGMATIC: Selected SinE mode:
% 0.38/0.62 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 142.14/22.45 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 142.14/22.45 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 43; version: 991; iters: 150)
% 142.14/22.45 # Preprocessing time : 5.114 s
% 142.14/22.45 # Presaturation interreduction done
% 142.14/22.45
% 142.14/22.45 # Proof found!
% 142.14/22.45 # SZS status Theorem
% 142.14/22.45 # SZS output start CNFRefutation
% See solution above
% 142.14/22.45 # Training examples: 0 positive, 0 negative
% 142.14/22.45
% 142.14/22.45 # -------------------------------------------------
% 142.14/22.45 # User time : 16.085 s
% 142.14/22.45 # System time : 0.195 s
% 142.14/22.45 # Total time : 16.280 s
% 142.14/22.45 # ...preprocessing : 5.114 s
% 142.14/22.45 # ...main loop : 11.166 s
% 142.14/22.45 # Maximum resident set size: 185268 pages
% 142.14/22.45
%------------------------------------------------------------------------------