TSTP Solution File: LCL494+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL494+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 09:26:24 EDT 2022
% Result : Theorem 8.44s 2.41s
% Output : CNFRefutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of clauses : 57 ( 32 unt; 0 nHn; 29 RR)
% Number of literals : 87 ( 16 equ; 34 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_64,plain,
( is_a_theorem(implies(X1,or(X2,X1)))
| ~ r2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_64) ).
cnf(i_0_57,plain,
r2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_57) ).
cnf(i_0_44,plain,
( or(not(X1),X2) = implies(X1,X2)
| ~ op_implies_or ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_44) ).
cnf(i_0_55,plain,
op_implies_or,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_55) ).
cnf(i_0_43,plain,
( not(and(X1,not(X2))) = implies(X1,X2)
| ~ op_implies_and ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_43) ).
cnf(i_0_21,plain,
op_implies_and,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_21) ).
cnf(i_0_38,plain,
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_38) ).
cnf(i_0_52,plain,
modus_ponens,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_52) ).
cnf(i_0_66,plain,
( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
| ~ r3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_66) ).
cnf(i_0_58,plain,
r3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_58) ).
cnf(i_0_45,plain,
( not(and(not(X1),not(X2))) = or(X1,X2)
| ~ op_or ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_45) ).
cnf(i_0_22,plain,
op_or,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_22) ).
cnf(i_0_41,plain,
( not(or(not(X1),not(X2))) = and(X1,X2)
| ~ op_and ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_41) ).
cnf(i_0_53,plain,
op_and,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_53) ).
cnf(i_0_42,plain,
( and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2)
| ~ op_equiv ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_42) ).
cnf(i_0_20,plain,
op_equiv,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_20) ).
cnf(i_0_15,plain,
( equivalence_2
| ~ is_a_theorem(implies(equiv(esk15_0,esk16_0),implies(esk16_0,esk15_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_15) ).
cnf(i_0_19,negated_conjecture,
~ equivalence_2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_19) ).
cnf(i_0_4,plain,
( is_a_theorem(implies(and(X1,X2),X2))
| ~ and_2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_4) ).
cnf(i_0_3,plain,
( and_2
| ~ is_a_theorem(implies(and(esk3_0,esk4_0),esk4_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n8lylxk3/input.p',i_0_3) ).
cnf(c_0_87,plain,
( is_a_theorem(implies(X1,or(X2,X1)))
| ~ r2 ),
i_0_64 ).
cnf(c_0_88,plain,
r2,
i_0_57 ).
cnf(c_0_89,plain,
( or(not(X1),X2) = implies(X1,X2)
| ~ op_implies_or ),
i_0_44 ).
cnf(c_0_90,plain,
op_implies_or,
i_0_55 ).
cnf(c_0_91,plain,
( not(and(X1,not(X2))) = implies(X1,X2)
| ~ op_implies_and ),
i_0_43 ).
cnf(c_0_92,plain,
op_implies_and,
i_0_21 ).
cnf(c_0_93,plain,
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
i_0_38 ).
cnf(c_0_94,plain,
modus_ponens,
i_0_52 ).
cnf(c_0_95,plain,
( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
| ~ r3 ),
i_0_66 ).
cnf(c_0_96,plain,
r3,
i_0_58 ).
cnf(c_0_97,plain,
is_a_theorem(implies(X1,or(X2,X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_98,plain,
or(not(X1),X2) = implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_99,plain,
( not(and(not(X1),not(X2))) = or(X1,X2)
| ~ op_or ),
i_0_45 ).
cnf(c_0_100,plain,
not(and(X1,not(X2))) = implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_101,plain,
op_or,
i_0_22 ).
cnf(c_0_102,plain,
( not(or(not(X1),not(X2))) = and(X1,X2)
| ~ op_and ),
i_0_41 ).
cnf(c_0_103,plain,
op_and,
i_0_53 ).
cnf(c_0_104,plain,
( and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2)
| ~ op_equiv ),
i_0_42 ).
cnf(c_0_105,plain,
op_equiv,
i_0_20 ).
cnf(c_0_106,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_107,plain,
is_a_theorem(implies(or(X1,X2),or(X2,X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]) ).
cnf(c_0_108,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_109,plain,
implies(not(X1),X2) = or(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_110,plain,
not(implies(X1,not(X2))) = and(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_98]),c_0_103])]) ).
cnf(c_0_111,plain,
( equivalence_2
| ~ is_a_theorem(implies(equiv(esk15_0,esk16_0),implies(esk16_0,esk15_0))) ),
i_0_15 ).
cnf(c_0_112,negated_conjecture,
~ equivalence_2,
i_0_19 ).
cnf(c_0_113,plain,
( is_a_theorem(implies(and(X1,X2),X2))
| ~ and_2 ),
i_0_4 ).
cnf(c_0_114,plain,
and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_115,plain,
( is_a_theorem(or(X1,X2))
| ~ is_a_theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,plain,
is_a_theorem(or(X1,implies(X2,not(X1)))),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,plain,
or(implies(X1,not(X2)),X3) = implies(and(X1,X2),X3),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,plain,
~ is_a_theorem(implies(equiv(esk15_0,esk16_0),implies(esk16_0,esk15_0))),
inference(sr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,plain,
( is_a_theorem(implies(equiv(X1,X2),implies(X2,X1)))
| ~ and_2 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,plain,
( and_2
| ~ is_a_theorem(implies(and(esk3_0,esk4_0),esk4_0)) ),
i_0_3 ).
cnf(c_0_121,plain,
is_a_theorem(implies(and(X1,X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_122,plain,
~ and_2,
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_123,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL494+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 08:02:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.44/2.41 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.44/2.41 # Version: 2.1pre011
% 8.44/2.41 # Preprocessing time : 0.012 s
% 8.44/2.41
% 8.44/2.41 # Proof found!
% 8.44/2.41 # SZS status Theorem
% 8.44/2.41 # SZS output start CNFRefutation
% See solution above
% 8.44/2.41 # Proof object total steps : 57
% 8.44/2.41 # Proof object clause steps : 37
% 8.44/2.41 # Proof object formula steps : 20
% 8.44/2.41 # Proof object conjectures : 2
% 8.44/2.41 # Proof object clause conjectures : 1
% 8.44/2.41 # Proof object formula conjectures : 1
% 8.44/2.41 # Proof object initial clauses used : 20
% 8.44/2.41 # Proof object initial formulas used : 20
% 8.44/2.41 # Proof object generating inferences : 7
% 8.44/2.41 # Proof object simplifying inferences : 23
% 8.44/2.41 # Training examples: 0 positive, 0 negative
% 8.44/2.41 # Parsed axioms : 74
% 8.44/2.41 # Removed by relevancy pruning/SinE : 0
% 8.44/2.41 # Initial clauses : 74
% 8.44/2.41 # Removed in clause preprocessing : 0
% 8.44/2.41 # Initial clauses in saturation : 74
% 8.44/2.41 # Processed clauses : 206
% 8.44/2.41 # ...of these trivial : 13
% 8.44/2.41 # ...subsumed : 23
% 8.44/2.41 # ...remaining for further processing : 170
% 8.44/2.41 # Other redundant clauses eliminated : 0
% 8.44/2.41 # Clauses deleted for lack of memory : 0
% 8.44/2.41 # Backward-subsumed : 3
% 8.44/2.41 # Backward-rewritten : 15
% 8.44/2.41 # Generated clauses : 711
% 8.44/2.41 # ...of the previous two non-trivial : 636
% 8.44/2.41 # Contextual simplify-reflections : 2
% 8.44/2.41 # Paramodulations : 711
% 8.44/2.41 # Factorizations : 0
% 8.44/2.41 # Equation resolutions : 0
% 8.44/2.41 # Propositional unsat checks : 0
% 8.44/2.41 # Propositional unsat check successes : 0
% 8.44/2.41 # Current number of processed clauses : 152
% 8.44/2.41 # Positive orientable unit clauses : 43
% 8.44/2.41 # Positive unorientable unit clauses: 0
% 8.44/2.41 # Negative unit clauses : 5
% 8.44/2.41 # Non-unit-clauses : 104
% 8.44/2.41 # Current number of unprocessed clauses: 464
% 8.44/2.41 # ...number of literals in the above : 894
% 8.44/2.41 # Current number of archived formulas : 0
% 8.44/2.41 # Current number of archived clauses : 18
% 8.44/2.41 # Clause-clause subsumption calls (NU) : 1871
% 8.44/2.41 # Rec. Clause-clause subsumption calls : 1796
% 8.44/2.41 # Non-unit clause-clause subsumptions : 22
% 8.44/2.41 # Unit Clause-clause subsumption calls : 345
% 8.44/2.41 # Rewrite failures with RHS unbound : 0
% 8.44/2.41 # BW rewrite match attempts : 49
% 8.44/2.41 # BW rewrite match successes : 14
% 8.44/2.41 # Condensation attempts : 0
% 8.44/2.41 # Condensation successes : 0
% 8.44/2.41 # Termbank termtop insertions : 9254
% 8.44/2.41
% 8.44/2.41 # -------------------------------------------------
% 8.44/2.41 # User time : 0.017 s
% 8.44/2.41 # System time : 0.005 s
% 8.44/2.41 # Total time : 0.022 s
% 8.44/2.41 # ...preprocessing : 0.012 s
% 8.44/2.41 # ...main loop : 0.011 s
% 8.44/2.41 # Maximum resident set size: 7132 pages
% 8.44/2.41
%------------------------------------------------------------------------------