TSTP Solution File: SYN413+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : Thu Jul 21 05:54:05 EDT 2022
% Result : Theorem 0.11s 1.30s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 29 ( 12 ~; 8 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 3 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish256,conjecture,
( ! [X1] :
? [X2] :
! [X3] :
( f(X3,X2)
<=> ( f(X3,X1)
& ~ f(X3,X3) ) )
=> ~ ? [X4] :
! [X5] : f(X5,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',kalish256) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
? [X2] :
! [X3] :
( f(X3,X2)
<=> ( f(X3,X1)
& ~ f(X3,X3) ) )
=> ~ ? [X4] :
! [X5] : f(X5,X4) ),
inference(assume_negation,[status(cth)],[kalish256]) ).
fof(c_0_2,negated_conjecture,
! [X6,X8,X8,X10] :
( ( f(X8,X6)
| ~ f(X8,esk1_1(X6)) )
& ( ~ f(X8,X8)
| ~ f(X8,esk1_1(X6)) )
& ( ~ f(X8,X6)
| f(X8,X8)
| f(X8,esk1_1(X6)) )
& f(X10,esk2_0) ),
inference(distribute,[status(thm)],[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,
( f(X1,esk1_1(X2))
| f(X1,X1)
| ~ f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
f(X1,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( f(X1,esk1_1(esk2_0))
| f(X1,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( ~ f(X1,esk1_1(X2))
| ~ f(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
f(esk1_1(esk2_0),esk1_1(esk2_0)),
inference(ef,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.07 % Command : run_ET %s %d
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Tue Jul 12 00:05:13 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.11/1.30 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.11/1.30 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.11/1.30 # Preprocessing time : 0.007 s
% 0.11/1.30
% 0.11/1.30 # Proof found!
% 0.11/1.30 # SZS status Theorem
% 0.11/1.30 # SZS output start CNFRefutation
% See solution above
% 0.11/1.30 # Proof object total steps : 9
% 0.11/1.30 # Proof object clause steps : 6
% 0.11/1.30 # Proof object formula steps : 3
% 0.11/1.30 # Proof object conjectures : 9
% 0.11/1.30 # Proof object clause conjectures : 6
% 0.11/1.30 # Proof object formula conjectures : 3
% 0.11/1.30 # Proof object initial clauses used : 3
% 0.11/1.30 # Proof object initial formulas used : 1
% 0.11/1.30 # Proof object generating inferences : 3
% 0.11/1.30 # Proof object simplifying inferences : 2
% 0.11/1.30 # Training examples: 0 positive, 0 negative
% 0.11/1.30 # Parsed axioms : 1
% 0.11/1.30 # Removed by relevancy pruning/SinE : 0
% 0.11/1.30 # Initial clauses : 4
% 0.11/1.30 # Removed in clause preprocessing : 0
% 0.11/1.30 # Initial clauses in saturation : 4
% 0.11/1.30 # Processed clauses : 6
% 0.11/1.30 # ...of these trivial : 0
% 0.11/1.30 # ...subsumed : 0
% 0.11/1.30 # ...remaining for further processing : 6
% 0.11/1.30 # Other redundant clauses eliminated : 0
% 0.11/1.30 # Clauses deleted for lack of memory : 0
% 0.11/1.30 # Backward-subsumed : 0
% 0.11/1.30 # Backward-rewritten : 0
% 0.11/1.30 # Generated clauses : 12
% 0.11/1.30 # ...of the previous two non-trivial : 7
% 0.11/1.30 # Contextual simplify-reflections : 0
% 0.11/1.30 # Paramodulations : 10
% 0.11/1.30 # Factorizations : 2
% 0.11/1.30 # Equation resolutions : 0
% 0.11/1.30 # Current number of processed clauses : 6
% 0.11/1.30 # Positive orientable unit clauses : 2
% 0.11/1.30 # Positive unorientable unit clauses: 0
% 0.11/1.30 # Negative unit clauses : 0
% 0.11/1.30 # Non-unit-clauses : 4
% 0.11/1.30 # Current number of unprocessed clauses: 5
% 0.11/1.30 # ...number of literals in the above : 10
% 0.11/1.30 # Current number of archived formulas : 0
% 0.11/1.30 # Current number of archived clauses : 0
% 0.11/1.30 # Clause-clause subsumption calls (NU) : 5
% 0.11/1.30 # Rec. Clause-clause subsumption calls : 5
% 0.11/1.30 # Non-unit clause-clause subsumptions : 0
% 0.11/1.30 # Unit Clause-clause subsumption calls : 0
% 0.11/1.30 # Rewrite failures with RHS unbound : 0
% 0.11/1.30 # BW rewrite match attempts : 0
% 0.11/1.30 # BW rewrite match successes : 0
% 0.11/1.30 # Condensation attempts : 0
% 0.11/1.30 # Condensation successes : 0
% 0.11/1.30 # Termbank termtop insertions : 416
% 0.11/1.30
% 0.11/1.30 # -------------------------------------------------
% 0.11/1.30 # User time : 0.006 s
% 0.11/1.30 # System time : 0.001 s
% 0.11/1.30 # Total time : 0.007 s
% 0.11/1.30 # Maximum resident set size: 2760 pages
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