%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 11:44:47 AM UTC 2026
% Result : Theorem 9.90s 3.75s
% Output : CNFRefutation 9.90s
% 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_7,plain,
( cn1
| ~ is_a_theorem(implies(implies(esk7_0,esk8_0),implies(implies(esk8_0,esk9_0),implies(esk7_0,esk9_0)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2yhz2rd1/input.p',i_0_7) ).
cnf(i_0_48,negated_conjecture,
~ cn1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2yhz2rd1/input.p',i_0_48) ).
cnf(i_0_41,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ implies_3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2yhz2rd1/input.p',i_0_41) ).
cnf(i_0_27,plain,
implies_3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2yhz2rd1/input.p',i_0_27) ).
cnf(c_0_53,plain,
( cn1
| ~ is_a_theorem(implies(implies(esk7_0,esk8_0),implies(implies(esk8_0,esk9_0),implies(esk7_0,esk9_0)))) ),
i_0_7 ).
cnf(c_0_54,negated_conjecture,
~ cn1,
i_0_48 ).
cnf(c_0_55,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ implies_3 ),
i_0_41 ).
cnf(c_0_56,plain,
implies_3,
i_0_27 ).
cnf(c_0_57,plain,
~ is_a_theorem(implies(implies(esk7_0,esk8_0),implies(implies(esk8_0,esk9_0),implies(esk7_0,esk9_0)))),
inference(sr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,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_55,c_0_56])]) ).
cnf(c_0_59,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 20:40:29 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.42 # ENIGMATIC: Selected SinE mode:
% 0.11/0.42 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.11/0.42 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.11/0.42 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.90/3.75 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 9.90/3.75 # Version: 2.1pre011
% 9.90/3.75 # Preprocessing time : 0.016 s
% 9.90/3.75
% 9.90/3.75 # Proof found!
% 9.90/3.75 # SZS status Theorem
% 9.90/3.75 # SZS output start CNFRefutation
% See solution above
% 9.90/3.75 # Proof object total steps : 11
% 9.90/3.75 # Proof object clause steps : 7
% 9.90/3.75 # Proof object formula steps : 4
% 9.90/3.75 # Proof object conjectures : 2
% 9.90/3.75 # Proof object clause conjectures : 1
% 9.90/3.75 # Proof object formula conjectures : 1
% 9.90/3.75 # Proof object initial clauses used : 4
% 9.90/3.75 # Proof object initial formulas used : 4
% 9.90/3.75 # Proof object generating inferences : 0
% 9.90/3.75 # Proof object simplifying inferences : 5
% 9.90/3.75 # Training examples: 0 positive, 0 negative
% 9.90/3.75 # Parsed axioms : 81
% 9.90/3.75 # Removed by relevancy pruning/SinE : 0
% 9.90/3.75 # Initial clauses : 81
% 9.90/3.75 # Removed in clause preprocessing : 0
% 9.90/3.75 # Initial clauses in saturation : 81
% 9.90/3.75 # Processed clauses : 75
% 9.90/3.75 # ...of these trivial : 22
% 9.90/3.75 # ...subsumed : 0
% 9.90/3.75 # ...remaining for further processing : 53
% 9.90/3.75 # Other redundant clauses eliminated : 0
% 9.90/3.75 # Clauses deleted for lack of memory : 0
% 9.90/3.75 # Backward-subsumed : 0
% 9.90/3.75 # Backward-rewritten : 5
% 9.90/3.75 # Generated clauses : 64
% 9.90/3.75 # ...of the previous two non-trivial : 57
% 9.90/3.75 # Contextual simplify-reflections : 0
% 9.90/3.75 # Paramodulations : 64
% 9.90/3.75 # Factorizations : 0
% 9.90/3.75 # Equation resolutions : 0
% 9.90/3.75 # Propositional unsat checks : 0
% 9.90/3.75 # Propositional unsat check successes : 0
% 9.90/3.75 # Current number of processed clauses : 48
% 9.90/3.75 # Positive orientable unit clauses : 33
% 9.90/3.75 # Positive unorientable unit clauses: 0
% 9.90/3.75 # Negative unit clauses : 1
% 9.90/3.75 # Non-unit-clauses : 14
% 9.90/3.75 # Current number of unprocessed clauses: 63
% 9.90/3.75 # ...number of literals in the above : 116
% 9.90/3.75 # Current number of archived formulas : 0
% 9.90/3.75 # Current number of archived clauses : 5
% 9.90/3.75 # Clause-clause subsumption calls (NU) : 4
% 9.90/3.75 # Rec. Clause-clause subsumption calls : 4
% 9.90/3.75 # Non-unit clause-clause subsumptions : 0
% 9.90/3.75 # Unit Clause-clause subsumption calls : 15
% 9.90/3.75 # Rewrite failures with RHS unbound : 0
% 9.90/3.75 # BW rewrite match attempts : 19
% 9.90/3.75 # BW rewrite match successes : 4
% 9.90/3.75 # Condensation attempts : 0
% 9.90/3.75 # Condensation successes : 0
% 9.90/3.75 # Termbank termtop insertions : 1956
% 9.90/3.75
% 9.90/3.75 # -------------------------------------------------
% 9.90/3.75 # User time : 0.017 s
% 9.90/3.75 # System time : 0.003 s
% 9.90/3.75 # Total time : 0.020 s
% 9.90/3.75 # ...preprocessing : 0.016 s
% 9.90/3.75 # ...main loop : 0.003 s
% 9.90/3.75 # Maximum resident set size: 6656 pages
% 9.90/3.75
%------------------------------------------------------------------------------