%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV616+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 06:51:35 PM UTC 2026
% Result : Theorem 110.53s 18.51s
% Output : CNFRefutation 110.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 14 unt; 2 nHn; 26 RR)
% Number of literals : 50 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 83 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3727,plain,
( p(c_24False)
| ~ c_24__lam__35673___24a2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_3727) ).
cnf(i_0_2549,plain,
~ p(c_24False),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_2549) ).
cnf(i_0_3749,plain,
( p(c_24False)
| ~ c_24__lam__75262___24a2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_3749) ).
cnf(i_0_410,plain,
( c_24__lam__35673___24a2(X1,X2)
| ~ p(happ(happ(c_24__lam__35673,X1),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_410) ).
cnf(i_0_470,plain,
( c_24__lam__75262___24a2(X1,X2)
| ~ p(happ(happ(c_24__lam__75262,X1),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_470) ).
cnf(i_0_2157,plain,
( p(happ(happ(X1,esk189_6(X2,X3,X4,X1,X5,X6)),esk190_6(X2,X3,X4,X1,X5,X6)))
| ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X2,X3,X4,X1,X5,X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_2157) ).
cnf(i_0_1768,plain,
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X3)
| p(happ(happ(X2,esk145_3(X1,X2,X3)),esk146_3(X1,X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_1768) ).
cnf(i_0_329,plain,
( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X1,X2,X3,X4,X5,X6)
| ~ p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X1),X2),X3),X4),X5),X6)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_329) ).
cnf(i_0_1776,plain,
( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X1,X2,X3)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X3,X2)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_1776) ).
cnf(i_0_2551,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l24ab3n/input.p',i_0_2551) ).
cnf(c_0_3760,plain,
( p(c_24False)
| ~ c_24__lam__35673___24a2(X1,X2) ),
i_0_3727 ).
cnf(c_0_3761,plain,
~ p(c_24False),
i_0_2549 ).
cnf(c_0_3762,plain,
( p(c_24False)
| ~ c_24__lam__75262___24a2(X1,X2) ),
i_0_3749 ).
cnf(c_0_3763,plain,
~ c_24__lam__35673___24a2(X1,X2),
inference(sr,[status(thm)],[c_0_3760,c_0_3761]) ).
cnf(c_0_3764,plain,
( c_24__lam__35673___24a2(X1,X2)
| ~ p(happ(happ(c_24__lam__35673,X1),X2)) ),
i_0_410 ).
cnf(c_0_3765,plain,
~ c_24__lam__75262___24a2(X1,X2),
inference(sr,[status(thm)],[c_0_3762,c_0_3761]) ).
cnf(c_0_3766,plain,
( c_24__lam__75262___24a2(X1,X2)
| ~ p(happ(happ(c_24__lam__75262,X1),X2)) ),
i_0_470 ).
cnf(c_0_3767,plain,
~ p(happ(happ(c_24__lam__35673,X1),X2)),
inference(spm,[status(thm)],[c_0_3763,c_0_3764]) ).
cnf(c_0_3768,plain,
( p(happ(happ(X1,esk189_6(X2,X3,X4,X1,X5,X6)),esk190_6(X2,X3,X4,X1,X5,X6)))
| ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X2,X3,X4,X1,X5,X6) ),
i_0_2157 ).
cnf(c_0_3769,plain,
~ p(happ(happ(c_24__lam__75262,X1),X2)),
inference(spm,[status(thm)],[c_0_3765,c_0_3766]) ).
cnf(c_0_3770,plain,
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X3)
| p(happ(happ(X2,esk145_3(X1,X2,X3)),esk146_3(X1,X2,X3))) ),
i_0_1768 ).
cnf(c_0_3771,plain,
~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X1,X2,X3,c_24__lam__35673,X4,X5),
inference(spm,[status(thm)],[c_0_3767,c_0_3768]) ).
cnf(c_0_3772,plain,
( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X1,X2,X3,X4,X5,X6)
| ~ p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X1),X2),X3),X4),X5),X6)) ),
i_0_329 ).
cnf(c_0_3773,plain,
( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X1,X2,X3)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X3,X2)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X3) ),
i_0_1776 ).
cnf(c_0_3774,plain,
cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,c_24__lam__75262,X2),
inference(spm,[status(thm)],[c_0_3769,c_0_3770]) ).
cnf(c_0_3775,plain,
~ p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X1),X2),X3),c_24__lam__35673),X4),X5)),
inference(spm,[status(thm)],[c_0_3771,c_0_3772]) ).
cnf(c_0_3776,plain,
( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X1,X2,c_24__lam__75262)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,c_24__lam__75262) ),
inference(spm,[status(thm)],[c_0_3773,c_0_3774]) ).
cnf(c_0_3777,plain,
cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X2),X3),X4),c_24__lam__35673),X5),
inference(spm,[status(thm)],[c_0_3775,c_0_3770]) ).
cnf(c_0_3778,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),
i_0_2551 ).
cnf(c_0_3779,plain,
cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X1,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X2),X3),X4),c_24__lam__35673),c_24__lam__75262),
inference(spm,[status(thm)],[c_0_3776,c_0_3777]) ).
cnf(c_0_3780,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3778,c_0_3779])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV616+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 05:48:12 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.28/0.48 # ENIGMATIC: Selected SinE mode:
% 0.44/0.63 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.63 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.44/0.63 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.44/0.63 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 110.53/18.51 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 110.53/18.51 # Version: 2.1pre011
% 110.53/18.51 # Preprocessing time : 0.310 s
% 110.53/18.51
% 110.53/18.51 # Proof found!
% 110.53/18.51 # SZS status Theorem
% 110.53/18.51 # SZS output start CNFRefutation
% See solution above
% 110.53/18.51 # Proof object total steps : 31
% 110.53/18.51 # Proof object clause steps : 21
% 110.53/18.51 # Proof object formula steps : 10
% 110.53/18.51 # Proof object conjectures : 3
% 110.53/18.51 # Proof object clause conjectures : 2
% 110.53/18.51 # Proof object formula conjectures : 1
% 110.53/18.51 # Proof object initial clauses used : 10
% 110.53/18.51 # Proof object initial formulas used : 10
% 110.53/18.51 # Proof object generating inferences : 8
% 110.53/18.51 # Proof object simplifying inferences : 4
% 110.53/18.51 # Training examples: 0 positive, 0 negative
% 110.53/18.51 # Parsed axioms : 6661
% 110.53/18.51 # Removed by relevancy pruning/SinE : 0
% 110.53/18.51 # Initial clauses : 6661
% 110.53/18.51 # Removed in clause preprocessing : 0
% 110.53/18.51 # Initial clauses in saturation : 6661
% 110.53/18.51 # Processed clauses : 9505
% 110.53/18.51 # ...of these trivial : 199
% 110.53/18.51 # ...subsumed : 1461
% 110.53/18.51 # ...remaining for further processing : 7845
% 110.53/18.51 # Other redundant clauses eliminated : 380
% 110.53/18.51 # Clauses deleted for lack of memory : 0
% 110.53/18.51 # Backward-subsumed : 4
% 110.53/18.51 # Backward-rewritten : 21
% 110.53/18.51 # Generated clauses : 211839
% 110.53/18.51 # ...of the previous two non-trivial : 209800
% 110.53/18.51 # Contextual simplify-reflections : 2575
% 110.53/18.51 # Paramodulations : 210890
% 110.53/18.51 # Factorizations : 354
% 110.53/18.51 # Equation resolutions : 595
% 110.53/18.51 # Propositional unsat checks : 1
% 110.53/18.51 # Propositional unsat check successes : 0
% 110.53/18.51 # Current number of processed clauses : 7808
% 110.53/18.51 # Positive orientable unit clauses : 490
% 110.53/18.51 # Positive unorientable unit clauses: 2
% 110.53/18.51 # Negative unit clauses : 139
% 110.53/18.51 # Non-unit-clauses : 7177
% 110.53/18.51 # Current number of unprocessed clauses: 206908
% 110.53/18.51 # ...number of literals in the above : 1057140
% 110.53/18.51 # Current number of archived formulas : 0
% 110.53/18.51 # Current number of archived clauses : 25
% 110.53/18.51 # Clause-clause subsumption calls (NU) : 14422107
% 110.53/18.51 # Rec. Clause-clause subsumption calls : 2289618
% 110.53/18.51 # Non-unit clause-clause subsumptions : 3777
% 110.53/18.51 # Unit Clause-clause subsumption calls : 690348
% 110.53/18.51 # Rewrite failures with RHS unbound : 0
% 110.53/18.51 # BW rewrite match attempts : 7768
% 110.53/18.51 # BW rewrite match successes : 40
% 110.53/18.51 # Condensation attempts : 0
% 110.53/18.51 # Condensation successes : 0
% 110.53/18.51 # Termbank termtop insertions : 7838042
% 110.53/18.51
% 110.53/18.51 # -------------------------------------------------
% 110.53/18.51 # User time : 11.987 s
% 110.53/18.51 # System time : 0.292 s
% 110.53/18.51 # Total time : 12.279 s
% 110.53/18.51 # ...preprocessing : 0.310 s
% 110.53/18.51 # ...main loop : 11.969 s
% 110.53/18.51 # Maximum resident set size: 358312 pages
% 110.53/18.51
%------------------------------------------------------------------------------