TSTP Solution File: SYN327+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 05:53:16 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 2 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 46 ( 17 ~; 11 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 2 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_2,conjecture,
! [X1] :
? [X2] :
! [X3] :
( big_f(X2,X1)
=> ( ( big_f(X1,X3)
=> big_f(X1,X2) )
& ( big_f(X1,X2)
=> ( ~ big_f(X1,X3)
=> ( big_f(X2,X1)
& big_f(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',church_46_12_2) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
? [X2] :
! [X3] :
( big_f(X2,X1)
=> ( ( big_f(X1,X3)
=> big_f(X1,X2) )
& ( big_f(X1,X2)
=> ( ~ big_f(X1,X3)
=> ( big_f(X2,X1)
& big_f(X3,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_12_2]) ).
fof(c_0_2,negated_conjecture,
! [X5,X5] :
( big_f(X5,esk1_0)
& ( big_f(esk1_0,X5)
| big_f(esk1_0,esk2_1(X5)) )
& ( ~ big_f(esk1_0,esk3_1(X5))
| big_f(esk1_0,esk2_1(X5)) )
& ( ~ big_f(X5,esk1_0)
| ~ big_f(esk3_1(X5),X5)
| big_f(esk1_0,esk2_1(X5)) )
& ( big_f(esk1_0,X5)
| ~ big_f(esk1_0,X5) )
& ( ~ big_f(esk1_0,esk3_1(X5))
| ~ big_f(esk1_0,X5) )
& ( ~ big_f(X5,esk1_0)
| ~ big_f(esk3_1(X5),X5)
| ~ big_f(esk1_0,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[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,
( ~ big_f(esk1_0,X1)
| ~ big_f(esk3_1(X1),X1)
| ~ big_f(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_f(X1,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_f(esk3_1(X1),X1)
| ~ big_f(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 04:31:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.013 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 7
% 0.22/1.41 # Proof object clause steps : 4
% 0.22/1.41 # Proof object formula steps : 3
% 0.22/1.41 # Proof object conjectures : 7
% 0.22/1.41 # Proof object clause conjectures : 4
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 2
% 0.22/1.41 # Proof object initial formulas used : 1
% 0.22/1.41 # Proof object generating inferences : 1
% 0.22/1.41 # Proof object simplifying inferences : 4
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 1
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 7
% 0.22/1.41 # Removed in clause preprocessing : 1
% 0.22/1.41 # Initial clauses in saturation : 6
% 0.22/1.41 # Processed clauses : 6
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 0
% 0.22/1.41 # ...remaining for further processing : 6
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 0
% 0.22/1.41 # Generated clauses : 1
% 0.22/1.41 # ...of the previous two non-trivial : 0
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 1
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 6
% 0.22/1.41 # Positive orientable unit clauses : 1
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 0
% 0.22/1.41 # Non-unit-clauses : 5
% 0.22/1.41 # Current number of unprocessed clauses: 0
% 0.22/1.41 # ...number of literals in the above : 0
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 0
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.22/1.41 # Non-unit clause-clause subsumptions : 0
% 0.22/1.41 # Unit Clause-clause subsumption calls : 0
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 0
% 0.22/1.41 # BW rewrite match successes : 0
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 369
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.012 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.014 s
% 0.22/1.41 # Maximum resident set size: 2760 pages
%------------------------------------------------------------------------------