TSTP Solution File: SET064+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 : Tue Jul 19 00:48:36 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 18 ( 6 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn 5 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(null_class_is_unique,conjecture,
! [X5] :
( X5 = null_class
| ? [X2] : member(X2,X5) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',null_class_is_unique) ).
fof(regularity,axiom,
! [X1] :
( X1 != null_class
=> ? [X3] :
( member(X3,universal_class)
& member(X3,X1)
& disjoint(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(c_0_2,negated_conjecture,
~ ! [X5] :
( X5 = null_class
| ? [X2] : member(X2,X5) ),
inference(assume_negation,[status(cth)],[null_class_is_unique]) ).
fof(c_0_3,negated_conjecture,
! [X7] :
( esk8_0 != null_class
& ~ member(X7,esk8_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)],[c_0_2])])])])])]) ).
fof(c_0_4,plain,
! [X4] :
( ( member(esk6_1(X4),universal_class)
| X4 = null_class )
& ( member(esk6_1(X4),X4)
| X4 = null_class )
& ( disjoint(esk6_1(X4),X4)
| X4 = null_class ) ),
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)],[regularity])])])])])]) ).
cnf(c_0_5,negated_conjecture,
~ member(X1,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( X1 = null_class
| member(esk6_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
esk8_0 != null_class,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jul 10 13:44:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.008 s
% 0.24/1.41
% 0.24/1.41 # Failure: Out of unprocessed clauses!
% 0.24/1.41 # OLD status GaveUp
% 0.24/1.41 # Parsed axioms : 44
% 0.24/1.41 # Removed by relevancy pruning/SinE : 42
% 0.24/1.41 # Initial clauses : 3
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 3
% 0.24/1.41 # Processed clauses : 3
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 3
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 0
% 0.24/1.41 # ...of the previous two non-trivial : 0
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 0
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 3
% 0.24/1.41 # Positive orientable unit clauses : 0
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 3
% 0.24/1.41 # Non-unit-clauses : 0
% 0.24/1.41 # Current number of unprocessed clauses: 0
% 0.24/1.41 # ...number of literals in the above : 0
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 0
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 0
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 0
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 569
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.007 s
% 0.24/1.41 # System time : 0.001 s
% 0.24/1.41 # Total time : 0.008 s
% 0.24/1.41 # Maximum resident set size: 2724 pages
% 0.24/1.41 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.019 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 9
% 0.24/1.41 # Proof object clause steps : 4
% 0.24/1.41 # Proof object formula steps : 5
% 0.24/1.41 # Proof object conjectures : 6
% 0.24/1.41 # Proof object clause conjectures : 3
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 3
% 0.24/1.41 # Proof object initial formulas used : 2
% 0.24/1.41 # Proof object generating inferences : 1
% 0.24/1.41 # Proof object simplifying inferences : 1
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 44
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 91
% 0.24/1.41 # Removed in clause preprocessing : 8
% 0.24/1.41 # Initial clauses in saturation : 83
% 0.24/1.41 # Processed clauses : 36
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 36
% 0.24/1.41 # Other redundant clauses eliminated : 2
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 25
% 0.24/1.41 # ...of the previous two non-trivial : 16
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 23
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 2
% 0.24/1.41 # Current number of processed clauses : 34
% 0.24/1.41 # Positive orientable unit clauses : 9
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 3
% 0.24/1.41 # Non-unit-clauses : 22
% 0.24/1.41 # Current number of unprocessed clauses: 63
% 0.24/1.41 # ...number of literals in the above : 141
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 8
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 68
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 62
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 3
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 5754
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.019 s
% 0.24/1.41 # System time : 0.002 s
% 0.24/1.41 # Total time : 0.021 s
% 0.24/1.41 # Maximum resident set size: 3100 pages
%------------------------------------------------------------------------------