%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET060+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Tue Jul 19 00:48:29 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 11 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 7 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(special_classes_lemma,conjecture,
! [X1,X2] : ~ member(X2,intersection(complement(X1),X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',special_classes_lemma) ).
fof(intersection,axiom,
! [X1,X2,X5] :
( member(X5,intersection(X1,X2))
<=> ( member(X5,X1)
& member(X5,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',intersection) ).
fof(complement,axiom,
! [X1,X5] :
( member(X5,complement(X1))
<=> ( member(X5,universal_class)
& ~ member(X5,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',complement) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] : ~ member(X2,intersection(complement(X1),X1)),
inference(assume_negation,[status(cth)],[special_classes_lemma]) ).
fof(c_0_4,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( member(X8,X6)
| ~ member(X8,intersection(X6,X7)) )
& ( member(X8,X7)
| ~ member(X8,intersection(X6,X7)) )
& ( ~ member(X8,X6)
| ~ member(X8,X7)
| member(X8,intersection(X6,X7)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])])]) ).
fof(c_0_5,negated_conjecture,
member(esk2_0,intersection(complement(esk1_0),esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X6,X7,X6,X7] :
( ( member(X7,universal_class)
| ~ member(X7,complement(X6)) )
& ( ~ member(X7,X6)
| ~ member(X7,complement(X6)) )
& ( ~ member(X7,universal_class)
| member(X7,X6)
| member(X7,complement(X6)) ) ),
inference(distribute,[status(thm)],[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)],[complement])])])])])]) ).
cnf(c_0_7,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
member(esk2_0,intersection(complement(esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
member(esk2_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
member(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET060+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Sat Jul 9 16:04:08 EDT 2022
% 0.12/0.34 % 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 : 0.010 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 : 14
% 0.23/1.41 # Proof object clause steps : 7
% 0.23/1.41 # Proof object formula steps : 7
% 0.23/1.41 # Proof object conjectures : 7
% 0.23/1.41 # Proof object clause conjectures : 4
% 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 : 3
% 0.23/1.41 # Proof object generating inferences : 3
% 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 : 44
% 0.23/1.41 # Removed by relevancy pruning/SinE : 34
% 0.23/1.41 # Initial clauses : 20
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 18
% 0.23/1.41 # Processed clauses : 20
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 20
% 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 : 0
% 0.23/1.41 # Generated clauses : 13
% 0.23/1.41 # ...of the previous two non-trivial : 6
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 13
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 20
% 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 : 15
% 0.23/1.41 # Current number of unprocessed clauses: 4
% 0.23/1.41 # ...number of literals in the above : 13
% 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) : 22
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 22
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 0
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 1842
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.009 s
% 0.23/1.41 # System time : 0.001 s
% 0.23/1.41 # Total time : 0.010 s
% 0.23/1.41 # Maximum resident set size: 2784 pages
%------------------------------------------------------------------------------