TSTP Solution File: SYN068+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 05:51:35 EDT 2022
% Result : Theorem 0.20s 1.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 17 ~; 10 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 5 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel44,conjecture,
? [X1] :
( big_j(X1)
& ~ big_f(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel44) ).
fof(pel44_2,axiom,
? [X1] :
( big_j(X1)
& ! [X2] :
( big_g(X2)
=> big_h(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel44_2) ).
fof(pel44_1,axiom,
! [X1] :
( big_f(X1)
=> ( ? [X2] :
( big_g(X2)
& big_h(X1,X2) )
& ? [X3] :
( big_g(X3)
& ~ big_h(X1,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel44_1) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( big_j(X1)
& ~ big_f(X1) ),
inference(assume_negation,[status(cth)],[pel44]) ).
fof(c_0_4,negated_conjecture,
! [X2] :
( ~ big_j(X2)
| big_f(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X4] :
( big_j(esk3_0)
& ( ~ big_g(X4)
| big_h(esk3_0,X4) ) ),
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)],[pel44_2])])])])])]) ).
fof(c_0_6,plain,
! [X4] :
( ( big_g(esk1_1(X4))
| ~ big_f(X4) )
& ( big_h(X4,esk1_1(X4))
| ~ big_f(X4) )
& ( big_g(esk2_1(X4))
| ~ big_f(X4) )
& ( ~ big_h(X4,esk2_1(X4))
| ~ big_f(X4) ) ),
inference(distribute,[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)],[pel44_1])])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( big_f(X1)
| ~ big_j(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
big_j(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ big_f(X1)
| ~ big_h(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( big_h(esk3_0,X1)
| ~ big_g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
big_f(esk3_0),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
~ big_g(esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,plain,
( big_g(esk2_1(X1))
| ~ big_f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 12 00:40:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.20/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.20/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.20/1.40 # Preprocessing time : 0.014 s
% 0.20/1.40
% 0.20/1.40 # Proof found!
% 0.20/1.40 # SZS status Theorem
% 0.20/1.40 # SZS output start CNFRefutation
% See solution above
% 0.20/1.40 # Proof object total steps : 15
% 0.20/1.40 # Proof object clause steps : 8
% 0.20/1.40 # Proof object formula steps : 7
% 0.20/1.40 # Proof object conjectures : 5
% 0.20/1.40 # Proof object clause conjectures : 2
% 0.20/1.40 # Proof object formula conjectures : 3
% 0.20/1.40 # Proof object initial clauses used : 5
% 0.20/1.40 # Proof object initial formulas used : 3
% 0.20/1.40 # Proof object generating inferences : 3
% 0.20/1.40 # Proof object simplifying inferences : 4
% 0.20/1.40 # Training examples: 0 positive, 0 negative
% 0.20/1.40 # Parsed axioms : 3
% 0.20/1.40 # Removed by relevancy pruning/SinE : 0
% 0.20/1.40 # Initial clauses : 7
% 0.20/1.40 # Removed in clause preprocessing : 0
% 0.20/1.40 # Initial clauses in saturation : 7
% 0.20/1.40 # Processed clauses : 9
% 0.20/1.40 # ...of these trivial : 0
% 0.20/1.40 # ...subsumed : 0
% 0.20/1.40 # ...remaining for further processing : 9
% 0.20/1.40 # Other redundant clauses eliminated : 0
% 0.20/1.40 # Clauses deleted for lack of memory : 0
% 0.20/1.40 # Backward-subsumed : 0
% 0.20/1.40 # Backward-rewritten : 0
% 0.20/1.40 # Generated clauses : 3
% 0.20/1.40 # ...of the previous two non-trivial : 2
% 0.20/1.40 # Contextual simplify-reflections : 0
% 0.20/1.40 # Paramodulations : 3
% 0.20/1.40 # Factorizations : 0
% 0.20/1.40 # Equation resolutions : 0
% 0.20/1.40 # Current number of processed clauses : 9
% 0.20/1.40 # Positive orientable unit clauses : 2
% 0.20/1.40 # Positive unorientable unit clauses: 0
% 0.20/1.40 # Negative unit clauses : 1
% 0.20/1.40 # Non-unit-clauses : 6
% 0.20/1.40 # Current number of unprocessed clauses: 0
% 0.20/1.40 # ...number of literals in the above : 0
% 0.20/1.40 # Current number of archived formulas : 0
% 0.20/1.40 # Current number of archived clauses : 0
% 0.20/1.40 # Clause-clause subsumption calls (NU) : 0
% 0.20/1.40 # Rec. Clause-clause subsumption calls : 0
% 0.20/1.40 # Non-unit clause-clause subsumptions : 0
% 0.20/1.40 # Unit Clause-clause subsumption calls : 1
% 0.20/1.40 # Rewrite failures with RHS unbound : 0
% 0.20/1.40 # BW rewrite match attempts : 0
% 0.20/1.40 # BW rewrite match successes : 0
% 0.20/1.40 # Condensation attempts : 0
% 0.20/1.40 # Condensation successes : 0
% 0.20/1.40 # Termbank termtop insertions : 335
% 0.20/1.40
% 0.20/1.40 # -------------------------------------------------
% 0.20/1.40 # User time : 0.012 s
% 0.20/1.40 # System time : 0.002 s
% 0.20/1.40 # Total time : 0.014 s
% 0.20/1.40 # Maximum resident set size: 2760 pages
%------------------------------------------------------------------------------