TSTP Solution File: SET096+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET096+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 00:49:06 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 92 ( 35 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 88 ( 30 ~; 36 |; 15 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 7 sgn 31 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(two_subsets_of_singleton,conjecture,
! [X1,X2] :
( subclass(X1,singleton(X2))
=> ( X1 = null_class
| singleton(X2) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',two_subsets_of_singleton) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(subclass_defn,axiom,
! [X1,X2] :
( subclass(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
fof(unordered_pair_defn,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( member(X3,universal_class)
& ( X3 = X1
| X3 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
fof(regularity,axiom,
! [X1] :
( X1 != null_class
=> ? [X3] :
( member(X3,universal_class)
& member(X3,X1)
& disjoint(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(extensionality,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subclass(X1,X2)
& subclass(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',extensionality) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( subclass(X1,singleton(X2))
=> ( X1 = null_class
| singleton(X2) = X1 ) ),
inference(assume_negation,[status(cth)],[two_subsets_of_singleton]) ).
fof(c_0_7,negated_conjecture,
( subclass(esk8_0,singleton(esk9_0))
& esk8_0 != null_class
& singleton(esk9_0) != esk8_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
! [X2] : singleton(X2) = unordered_pair(X2,X2),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
fof(c_0_9,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subclass(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk1_2(X4,X5),X4)
| subclass(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subclass(X4,X5) ) ),
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)],[subclass_defn])])])])])])]) ).
cnf(c_0_10,negated_conjecture,
subclass(esk8_0,singleton(esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X4,universal_class)
| ~ member(X4,unordered_pair(X5,X6)) )
& ( X4 = X5
| X4 = X6
| ~ member(X4,unordered_pair(X5,X6)) )
& ( X4 != X5
| ~ member(X4,universal_class)
| member(X4,unordered_pair(X5,X6)) )
& ( X4 != X6
| ~ member(X4,universal_class)
| member(X4,unordered_pair(X5,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)],[unordered_pair_defn])])])])]) ).
cnf(c_0_13,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subclass(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
subclass(esk8_0,unordered_pair(esk9_0,esk9_0)),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( X1 = X3
| X1 = X2
| ~ member(X1,unordered_pair(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( subclass(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( member(X1,unordered_pair(esk9_0,esk9_0))
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,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])])])])])]) ).
fof(c_0_19,plain,
! [X3,X4,X3,X4] :
( ( subclass(X3,X4)
| X3 != X4 )
& ( subclass(X4,X3)
| X3 != X4 )
& ( ~ subclass(X3,X4)
| ~ subclass(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[extensionality])])])])]) ).
cnf(c_0_20,negated_conjecture,
singleton(esk9_0) != esk8_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( esk1_2(unordered_pair(X1,X2),X3) = X2
| esk1_2(unordered_pair(X1,X2),X3) = X1
| subclass(unordered_pair(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( X1 = esk9_0
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_23,plain,
( X1 = null_class
| member(esk6_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
esk8_0 != null_class,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
( X1 = X2
| ~ subclass(X2,X1)
| ~ subclass(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
unordered_pair(esk9_0,esk9_0) != esk8_0,
inference(rw,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_27,plain,
( subclass(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,plain,
( esk1_2(unordered_pair(X1,X1),X2) = X1
| subclass(unordered_pair(X1,X1),X2) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_21])]) ).
cnf(c_0_29,negated_conjecture,
esk6_1(esk8_0) = esk9_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_30,negated_conjecture,
~ subclass(unordered_pair(esk9_0,esk9_0),esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14]),c_0_26]) ).
cnf(c_0_31,plain,
( subclass(unordered_pair(X1,X1),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
member(esk9_0,esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_29]),c_0_24]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET096+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 03:24:13 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 : 0.015 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 : 39
% 0.24/1.41 # Initial clauses : 11
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 11
% 0.24/1.41 # Processed clauses : 25
% 0.24/1.41 # ...of these trivial : 2
% 0.24/1.41 # ...subsumed : 3
% 0.24/1.41 # ...remaining for further processing : 20
% 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 : 17
% 0.24/1.41 # ...of the previous two non-trivial : 14
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 15
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 2
% 0.24/1.41 # Current number of processed clauses : 18
% 0.24/1.41 # Positive orientable unit clauses : 4
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 4
% 0.24/1.41 # Non-unit-clauses : 10
% 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) : 11
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 11
% 0.24/1.41 # Non-unit clause-clause subsumptions : 2
% 0.24/1.41 # Unit Clause-clause subsumption calls : 4
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 5
% 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 : 1089
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.012 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.016 s
% 0.24/1.41 # Maximum resident set size: 2764 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 : 34
% 0.24/1.41 # Proof object clause steps : 21
% 0.24/1.41 # Proof object formula steps : 13
% 0.24/1.41 # Proof object conjectures : 14
% 0.24/1.41 # Proof object clause conjectures : 11
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 10
% 0.24/1.41 # Proof object initial formulas used : 6
% 0.24/1.41 # Proof object generating inferences : 9
% 0.24/1.41 # Proof object simplifying inferences : 8
% 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 : 92
% 0.24/1.41 # Removed in clause preprocessing : 8
% 0.24/1.41 # Initial clauses in saturation : 84
% 0.24/1.41 # Processed clauses : 6557
% 0.24/1.41 # ...of these trivial : 13
% 0.24/1.41 # ...subsumed : 4851
% 0.24/1.41 # ...remaining for further processing : 1693
% 0.24/1.41 # Other redundant clauses eliminated : 23
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 95
% 0.24/1.41 # Backward-rewritten : 107
% 0.24/1.41 # Generated clauses : 52447
% 0.24/1.41 # ...of the previous two non-trivial : 47885
% 0.24/1.41 # Contextual simplify-reflections : 3067
% 0.24/1.41 # Paramodulations : 52383
% 0.24/1.41 # Factorizations : 39
% 0.24/1.41 # Equation resolutions : 25
% 0.24/1.41 # Current number of processed clauses : 1487
% 0.24/1.41 # Positive orientable unit clauses : 99
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 39
% 0.24/1.41 # Non-unit-clauses : 1349
% 0.24/1.41 # Current number of unprocessed clauses: 39063
% 0.24/1.41 # ...number of literals in the above : 148874
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 210
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 708746
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 452648
% 0.24/1.41 # Non-unit clause-clause subsumptions : 6558
% 0.24/1.41 # Unit Clause-clause subsumption calls : 12372
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 68
% 0.24/1.41 # BW rewrite match successes : 21
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 1298859
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.848 s
% 0.24/1.41 # System time : 0.023 s
% 0.24/1.41 # Total time : 0.871 s
% 0.24/1.41 # Maximum resident set size: 41652 pages
% 0.24/23.51 eprover: CPU time limit exceeded, terminating
% 0.24/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.54 eprover: No such file or directory
% 0.24/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.54 eprover: No such file or directory
% 0.24/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.54 eprover: No such file or directory
% 0.24/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.55 eprover: No such file or directory
% 0.24/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.55 eprover: No such file or directory
% 0.24/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.55 eprover: No such file or directory
% 0.24/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.56 eprover: No such file or directory
% 0.24/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.56 eprover: No such file or directory
%------------------------------------------------------------------------------