%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV636+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 06:51:36 PM UTC 2026
% Result : Theorem 237.95s 35.23s
% Output : CNFRefutation 237.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 9 unt; 0 nHn; 18 RR)
% Number of literals : 33 ( 2 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5518,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X1,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| ~ c_24__type__6___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_5518) ).
cnf(i_0_6435,plain,
c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_6435) ).
cnf(i_0_3864,plain,
( cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eNat_2epred,happ(cCoq_2eInit_2eNat_2epred,X1)))
| ~ cIndProp_2eeven___24a1(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_3864) ).
cnf(i_0_1414,plain,
( happ(cCoq_2eInit_2eNat_2epred,happ(cCoq_2eInit_2eDatatypes_2eS,X1)) = X1
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_1414) ).
cnf(i_0_3851,negated_conjecture,
cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,esk437_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_3851) ).
cnf(i_0_3852,negated_conjecture,
cCoq_2eInit_2eDatatypes_2enat___24t(esk437_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_3852) ).
cnf(i_0_3850,negated_conjecture,
~ cIndProp_2eeven___24a1(esk437_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dsyjfxz1/input.p',i_0_3850) ).
cnf(c_0_6443,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X1,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| ~ c_24__type__6___24t(X1) ),
i_0_5518 ).
cnf(c_0_6444,plain,
c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS),
i_0_6435 ).
cnf(c_0_6445,plain,
( cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eNat_2epred,happ(cCoq_2eInit_2eNat_2epred,X1)))
| ~ cIndProp_2eeven___24a1(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ),
i_0_3864 ).
cnf(c_0_6446,plain,
( happ(cCoq_2eInit_2eNat_2epred,happ(cCoq_2eInit_2eDatatypes_2eS,X1)) = X1
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ),
i_0_1414 ).
cnf(c_0_6447,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ),
inference(spm,[status(thm)],[c_0_6443,c_0_6444]) ).
cnf(c_0_6448,plain,
( cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eNat_2epred,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eDatatypes_2eS,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6445,c_0_6446]),c_0_6447]) ).
cnf(c_0_6449,plain,
( cIndProp_2eeven___24a1(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6448,c_0_6446]),c_0_6447]) ).
cnf(c_0_6450,negated_conjecture,
cIndProp_2eeven___24a1(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,esk437_0))),
i_0_3851 ).
cnf(c_0_6451,negated_conjecture,
cCoq_2eInit_2eDatatypes_2enat___24t(esk437_0),
i_0_3852 ).
cnf(c_0_6452,negated_conjecture,
~ cIndProp_2eeven___24a1(esk437_0),
i_0_3850 ).
cnf(c_0_6453,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6449,c_0_6450]),c_0_6451])]),c_0_6452]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV636+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:44:32 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.28/0.47 # ENIGMATIC: Selected SinE mode:
% 0.45/0.66 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.66 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.45/0.66 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.45/0.66 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 237.95/35.23 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 237.95/35.23 # Version: 2.1pre011
% 237.95/35.23 # Preprocessing time : 0.337 s
% 237.95/35.23
% 237.95/35.23 # Proof found!
% 237.95/35.23 # SZS status Theorem
% 237.95/35.23 # SZS output start CNFRefutation
% See solution above
% 237.95/35.23 # Proof object total steps : 18
% 237.95/35.23 # Proof object clause steps : 11
% 237.95/35.23 # Proof object formula steps : 7
% 237.95/35.23 # Proof object conjectures : 7
% 237.95/35.23 # Proof object clause conjectures : 4
% 237.95/35.23 # Proof object formula conjectures : 3
% 237.95/35.23 # Proof object initial clauses used : 7
% 237.95/35.23 # Proof object initial formulas used : 7
% 237.95/35.23 # Proof object generating inferences : 4
% 237.95/35.23 # Proof object simplifying inferences : 5
% 237.95/35.23 # Training examples: 0 positive, 0 negative
% 237.95/35.23 # Parsed axioms : 7029
% 237.95/35.23 # Removed by relevancy pruning/SinE : 0
% 237.95/35.23 # Initial clauses : 7029
% 237.95/35.23 # Removed in clause preprocessing : 0
% 237.95/35.23 # Initial clauses in saturation : 7029
% 237.95/35.23 # Processed clauses : 10958
% 237.95/35.23 # ...of these trivial : 67
% 237.95/35.23 # ...subsumed : 1646
% 237.95/35.23 # ...remaining for further processing : 9245
% 237.95/35.23 # Other redundant clauses eliminated : 1460
% 237.95/35.23 # Clauses deleted for lack of memory : 0
% 237.95/35.23 # Backward-subsumed : 100
% 237.95/35.23 # Backward-rewritten : 44
% 237.95/35.23 # Generated clauses : 444627
% 237.95/35.23 # ...of the previous two non-trivial : 438456
% 237.95/35.23 # Contextual simplify-reflections : 3462
% 237.95/35.23 # Paramodulations : 442901
% 237.95/35.23 # Factorizations : 58
% 237.95/35.23 # Equation resolutions : 1668
% 237.95/35.23 # Propositional unsat checks : 1
% 237.95/35.23 # Propositional unsat check successes : 0
% 237.95/35.23 # Current number of processed clauses : 9093
% 237.95/35.23 # Positive orientable unit clauses : 681
% 237.95/35.23 # Positive unorientable unit clauses: 15
% 237.95/35.23 # Negative unit clauses : 156
% 237.95/35.23 # Non-unit-clauses : 8241
% 237.95/35.23 # Current number of unprocessed clauses: 425083
% 237.95/35.23 # ...number of literals in the above : 3042412
% 237.95/35.23 # Current number of archived formulas : 0
% 237.95/35.23 # Current number of archived clauses : 144
% 237.95/35.23 # Clause-clause subsumption calls (NU) : 20320820
% 237.95/35.23 # Rec. Clause-clause subsumption calls : 3119369
% 237.95/35.23 # Non-unit clause-clause subsumptions : 5007
% 237.95/35.23 # Unit Clause-clause subsumption calls : 291307
% 237.95/35.23 # Rewrite failures with RHS unbound : 6220
% 237.95/35.23 # BW rewrite match attempts : 24016
% 237.95/35.23 # BW rewrite match successes : 273
% 237.95/35.23 # Condensation attempts : 0
% 237.95/35.23 # Condensation successes : 0
% 237.95/35.23 # Termbank termtop insertions : 36887607
% 237.95/35.23
% 237.95/35.23 # -------------------------------------------------
% 237.95/35.23 # User time : 27.493 s
% 237.95/35.23 # System time : 0.482 s
% 237.95/35.23 # Total time : 27.976 s
% 237.95/35.23 # ...preprocessing : 0.337 s
% 237.95/35.23 # ...main loop : 27.638 s
% 237.95/35.23 # Maximum resident set size: 669988 pages
% 237.95/35.23
%------------------------------------------------------------------------------