%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL414+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 10:10:56 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 43 ( 19 ~; 12 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 45 ( 2 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm147,conjecture,
~ ( ! [X1,X2] :
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) )
& ! [X1,X2] : a_truth(implies(X1,implies(X2,X1)))
& ! [X1,X2,X3] : a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ? [X4] : ~ a_truth(implies(X4,X4)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm147) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ! [X1,X2] :
( ~ a_truth(implies(X1,X2))
| ~ a_truth(X1)
| a_truth(X2) )
& ! [X1,X2] : a_truth(implies(X1,implies(X2,X1)))
& ! [X1,X2,X3] : a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ? [X4] : ~ a_truth(implies(X4,X4)) ),
inference(assume_negation,[status(cth)],[thm147]) ).
fof(c_0_2,negated_conjecture,
! [X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ~ a_truth(implies(X5,X6))
| ~ a_truth(X5)
| a_truth(X6) )
& a_truth(implies(X7,implies(X8,X7)))
& a_truth(implies(implies(X9,implies(X10,X11)),implies(implies(X9,X10),implies(X9,X11))))
& a_truth(implies(implies(not(X12),not(X13)),implies(X13,X12)))
& ~ a_truth(implies(esk1_0,esk1_0)) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( a_truth(X1)
| ~ a_truth(X2)
| ~ a_truth(implies(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( a_truth(implies(implies(X1,X2),implies(X1,X3)))
| ~ a_truth(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( a_truth(implies(X1,X2))
| ~ a_truth(implies(X1,implies(X3,X2)))
| ~ a_truth(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,negated_conjecture,
a_truth(implies(X1,implies(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( a_truth(implies(X1,X1))
| ~ a_truth(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
~ a_truth(implies(esk1_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
a_truth(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL414+1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.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 03:54:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.013 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 12
% 0.23/1.41 # Proof object clause steps : 9
% 0.23/1.41 # Proof object formula steps : 3
% 0.23/1.41 # Proof object conjectures : 12
% 0.23/1.41 # Proof object clause conjectures : 9
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 4
% 0.23/1.41 # Proof object initial formulas used : 1
% 0.23/1.41 # Proof object generating inferences : 4
% 0.23/1.41 # Proof object simplifying inferences : 2
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 1
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 5
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 5
% 0.23/1.41 # Processed clauses : 17
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 17
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 2
% 0.23/1.41 # Generated clauses : 35
% 0.23/1.41 # ...of the previous two non-trivial : 29
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 35
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 15
% 0.23/1.41 # Positive orientable unit clauses : 4
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 1
% 0.23/1.41 # Non-unit-clauses : 10
% 0.23/1.41 # Current number of unprocessed clauses: 13
% 0.23/1.41 # ...number of literals in the above : 30
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 2
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 72
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 70
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 10
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 18
% 0.23/1.41 # BW rewrite match successes : 2
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 850
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.011 s
% 0.23/1.41 # System time : 0.003 s
% 0.23/1.41 # Total time : 0.014 s
% 0.23/1.41 # Maximum resident set size: 2764 pages
%------------------------------------------------------------------------------