%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL542+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 11:44:58 AM UTC 2026
% Result : Theorem 11.55s 3.78s
% Output : CNFRefutation 11.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 3 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
( is_a_theorem(necessarily(X1))
| ~ necessitation
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_106) ).
cnf(i_0_86,plain,
necessitation,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_86) ).
cnf(i_0_115,plain,
( necessarily(implies(X1,X2)) = strict_implies(X1,X2)
| ~ op_strict_implies ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_115) ).
cnf(i_0_137,plain,
op_strict_implies,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_137) ).
cnf(i_0_25,plain,
( axiom_m2
| ~ is_a_theorem(strict_implies(and(esk18_0,esk19_0),esk18_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_25) ).
cnf(i_0_132,negated_conjecture,
~ axiom_m2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_132) ).
cnf(i_0_6,plain,
( is_a_theorem(implies(and(X1,X2),X1))
| ~ and_1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_6) ).
cnf(i_0_59,plain,
and_1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x9quiweb/input.p',i_0_59) ).
cnf(c_0_146,plain,
( is_a_theorem(necessarily(X1))
| ~ necessitation
| ~ is_a_theorem(X1) ),
i_0_106 ).
cnf(c_0_147,plain,
necessitation,
i_0_86 ).
cnf(c_0_148,plain,
( necessarily(implies(X1,X2)) = strict_implies(X1,X2)
| ~ op_strict_implies ),
i_0_115 ).
cnf(c_0_149,plain,
op_strict_implies,
i_0_137 ).
cnf(c_0_150,plain,
( axiom_m2
| ~ is_a_theorem(strict_implies(and(esk18_0,esk19_0),esk18_0)) ),
i_0_25 ).
cnf(c_0_151,negated_conjecture,
~ axiom_m2,
i_0_132 ).
cnf(c_0_152,plain,
( is_a_theorem(necessarily(X1))
| ~ is_a_theorem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).
cnf(c_0_153,plain,
necessarily(implies(X1,X2)) = strict_implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_154,plain,
( is_a_theorem(implies(and(X1,X2),X1))
| ~ and_1 ),
i_0_6 ).
cnf(c_0_155,plain,
and_1,
i_0_59 ).
cnf(c_0_156,plain,
~ is_a_theorem(strict_implies(and(esk18_0,esk19_0),esk18_0)),
inference(sr,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_157,plain,
( is_a_theorem(strict_implies(X1,X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_158,plain,
is_a_theorem(implies(and(X1,X2),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).
cnf(c_0_159,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL542+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 21:49:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.44 # ENIGMATIC: Selected SinE mode:
% 0.12/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.12/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.12/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.55/3.78 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 11.55/3.78 # Version: 2.1pre011
% 11.55/3.78 # Preprocessing time : 0.011 s
% 11.55/3.78
% 11.55/3.78 # Proof found!
% 11.55/3.78 # SZS status Theorem
% 11.55/3.78 # SZS output start CNFRefutation
% See solution above
% 11.55/3.78 # Proof object total steps : 22
% 11.55/3.78 # Proof object clause steps : 14
% 11.55/3.78 # Proof object formula steps : 8
% 11.55/3.78 # Proof object conjectures : 2
% 11.55/3.78 # Proof object clause conjectures : 1
% 11.55/3.78 # Proof object formula conjectures : 1
% 11.55/3.78 # Proof object initial clauses used : 8
% 11.55/3.78 # Proof object initial formulas used : 8
% 11.55/3.78 # Proof object generating inferences : 2
% 11.55/3.78 # Proof object simplifying inferences : 9
% 11.55/3.78 # Training examples: 0 positive, 0 negative
% 11.55/3.78 # Parsed axioms : 144
% 11.55/3.78 # Removed by relevancy pruning/SinE : 0
% 11.55/3.78 # Initial clauses : 144
% 11.55/3.78 # Removed in clause preprocessing : 0
% 11.55/3.78 # Initial clauses in saturation : 144
% 11.55/3.78 # Processed clauses : 179
% 11.55/3.78 # ...of these trivial : 29
% 11.55/3.78 # ...subsumed : 4
% 11.55/3.78 # ...remaining for further processing : 146
% 11.55/3.78 # Other redundant clauses eliminated : 0
% 11.55/3.78 # Clauses deleted for lack of memory : 0
% 11.55/3.78 # Backward-subsumed : 1
% 11.55/3.78 # Backward-rewritten : 4
% 11.55/3.78 # Generated clauses : 335
% 11.55/3.78 # ...of the previous two non-trivial : 290
% 11.55/3.78 # Contextual simplify-reflections : 0
% 11.55/3.78 # Paramodulations : 335
% 11.55/3.78 # Factorizations : 0
% 11.55/3.78 # Equation resolutions : 0
% 11.55/3.78 # Propositional unsat checks : 0
% 11.55/3.78 # Propositional unsat check successes : 0
% 11.55/3.78 # Current number of processed clauses : 141
% 11.55/3.78 # Positive orientable unit clauses : 52
% 11.55/3.78 # Positive unorientable unit clauses: 1
% 11.55/3.78 # Negative unit clauses : 2
% 11.55/3.78 # Non-unit-clauses : 86
% 11.55/3.78 # Current number of unprocessed clauses: 252
% 11.55/3.78 # ...number of literals in the above : 602
% 11.55/3.78 # Current number of archived formulas : 0
% 11.55/3.78 # Current number of archived clauses : 5
% 11.55/3.78 # Clause-clause subsumption calls (NU) : 760
% 11.55/3.78 # Rec. Clause-clause subsumption calls : 630
% 11.55/3.78 # Non-unit clause-clause subsumptions : 4
% 11.55/3.78 # Unit Clause-clause subsumption calls : 118
% 11.55/3.78 # Rewrite failures with RHS unbound : 0
% 11.55/3.78 # BW rewrite match attempts : 23
% 11.55/3.78 # BW rewrite match successes : 3
% 11.55/3.78 # Condensation attempts : 0
% 11.55/3.78 # Condensation successes : 0
% 11.55/3.78 # Termbank termtop insertions : 6008
% 11.55/3.78
% 11.55/3.78 # -------------------------------------------------
% 11.55/3.78 # User time : 0.013 s
% 11.55/3.78 # System time : 0.005 s
% 11.55/3.78 # Total time : 0.018 s
% 11.55/3.78 # ...preprocessing : 0.011 s
% 11.55/3.78 # ...main loop : 0.007 s
% 11.55/3.78 # Maximum resident set size: 7424 pages
% 11.55/3.78
%------------------------------------------------------------------------------