%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL465+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:44:49 AM UTC 2026
% Result : Theorem 7.46s 3.40s
% Output : CNFRefutation 7.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
( implies_3
| ~ is_a_theorem(implies(implies(esk23_0,esk24_0),implies(implies(esk24_0,esk25_0),implies(esk23_0,esk25_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-51qcgx40/input.p',i_0_27) ).
cnf(i_0_19,negated_conjecture,
~ implies_3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-51qcgx40/input.p',i_0_19) ).
cnf(i_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ cn1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-51qcgx40/input.p',i_0_8) ).
cnf(i_0_35,plain,
cn1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-51qcgx40/input.p',i_0_35) ).
cnf(c_0_40,plain,
( implies_3
| ~ is_a_theorem(implies(implies(esk23_0,esk24_0),implies(implies(esk24_0,esk25_0),implies(esk23_0,esk25_0)))) ),
i_0_27 ).
cnf(c_0_41,negated_conjecture,
~ implies_3,
i_0_19 ).
cnf(c_0_42,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ cn1 ),
i_0_8 ).
cnf(c_0_43,plain,
cn1,
i_0_35 ).
cnf(c_0_44,plain,
~ is_a_theorem(implies(implies(esk23_0,esk24_0),implies(implies(esk24_0,esk25_0),implies(esk23_0,esk25_0)))),
inference(sr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_46,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL465+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 21:20:55 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.46 # ENIGMATIC: Selected SinE mode:
% 0.22/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.22/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.22/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.46/3.40 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.46/3.40 # Version: 2.1pre011
% 7.46/3.40 # Preprocessing time : 0.009 s
% 7.46/3.40
% 7.46/3.40 # Proof found!
% 7.46/3.40 # SZS status Theorem
% 7.46/3.40 # SZS output start CNFRefutation
% See solution above
% 7.46/3.40 # Proof object total steps : 11
% 7.46/3.40 # Proof object clause steps : 7
% 7.46/3.40 # Proof object formula steps : 4
% 7.46/3.40 # Proof object conjectures : 2
% 7.46/3.40 # Proof object clause conjectures : 1
% 7.46/3.40 # Proof object formula conjectures : 1
% 7.46/3.40 # Proof object initial clauses used : 4
% 7.46/3.40 # Proof object initial formulas used : 4
% 7.46/3.40 # Proof object generating inferences : 0
% 7.46/3.40 # Proof object simplifying inferences : 5
% 7.46/3.40 # Training examples: 0 positive, 0 negative
% 7.46/3.40 # Parsed axioms : 71
% 7.46/3.40 # Removed by relevancy pruning/SinE : 0
% 7.46/3.40 # Initial clauses : 71
% 7.46/3.40 # Removed in clause preprocessing : 0
% 7.46/3.40 # Initial clauses in saturation : 71
% 7.46/3.40 # Processed clauses : 65
% 7.46/3.40 # ...of these trivial : 9
% 7.46/3.40 # ...subsumed : 0
% 7.46/3.40 # ...remaining for further processing : 56
% 7.46/3.40 # Other redundant clauses eliminated : 0
% 7.46/3.40 # Clauses deleted for lack of memory : 0
% 7.46/3.40 # Backward-subsumed : 2
% 7.46/3.40 # Backward-rewritten : 5
% 7.46/3.40 # Generated clauses : 85
% 7.46/3.40 # ...of the previous two non-trivial : 69
% 7.46/3.40 # Contextual simplify-reflections : 0
% 7.46/3.40 # Paramodulations : 85
% 7.46/3.40 # Factorizations : 0
% 7.46/3.40 # Equation resolutions : 0
% 7.46/3.40 # Propositional unsat checks : 0
% 7.46/3.40 # Propositional unsat check successes : 0
% 7.46/3.40 # Current number of processed clauses : 49
% 7.46/3.40 # Positive orientable unit clauses : 14
% 7.46/3.40 # Positive unorientable unit clauses: 0
% 7.46/3.40 # Negative unit clauses : 1
% 7.46/3.40 # Non-unit-clauses : 34
% 7.46/3.40 # Current number of unprocessed clauses: 70
% 7.46/3.40 # ...number of literals in the above : 155
% 7.46/3.40 # Current number of archived formulas : 0
% 7.46/3.40 # Current number of archived clauses : 7
% 7.46/3.40 # Clause-clause subsumption calls (NU) : 57
% 7.46/3.40 # Rec. Clause-clause subsumption calls : 57
% 7.46/3.40 # Non-unit clause-clause subsumptions : 0
% 7.46/3.40 # Unit Clause-clause subsumption calls : 12
% 7.46/3.40 # Rewrite failures with RHS unbound : 0
% 7.46/3.40 # BW rewrite match attempts : 18
% 7.46/3.40 # BW rewrite match successes : 6
% 7.46/3.40 # Condensation attempts : 0
% 7.46/3.40 # Condensation successes : 0
% 7.46/3.40 # Termbank termtop insertions : 2102
% 7.46/3.40
% 7.46/3.40 # -------------------------------------------------
% 7.46/3.40 # User time : 0.010 s
% 7.46/3.40 # System time : 0.001 s
% 7.46/3.40 # Total time : 0.011 s
% 7.46/3.40 # ...preprocessing : 0.009 s
% 7.46/3.40 # ...main loop : 0.002 s
% 7.46/3.40 # Maximum resident set size: 6656 pages
% 7.46/3.40
%------------------------------------------------------------------------------