TSTP Solution File: PHI012+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : Mon Jul 18 16:45:31 EDT 2022
% Result : Theorem 0.19s 1.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 109 ( 12 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 138 ( 52 ~; 59 |; 18 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_2,conjecture,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X2 = X1 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lemma_2) ).
fof(connectedness_of_greater_than,axiom,
! [X1,X2] :
( ( object(X1)
& object(X2) )
=> ( exemplifies_relation(greater_than,X1,X2)
| exemplifies_relation(greater_than,X2,X1)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',connectedness_of_greater_than) ).
fof(definition_none_greater,axiom,
! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
<=> ( exemplifies_property(conceivable,X1)
& ~ ? [X2] :
( object(X2)
& exemplifies_relation(greater_than,X2,X1)
& exemplifies_property(conceivable,X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',definition_none_greater) ).
fof(c_0_3,negated_conjecture,
~ ( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X2 = X1 ) ) ) ),
inference(assume_negation,[status(cth)],[lemma_2]) ).
fof(c_0_4,plain,
! [X3,X4] :
( ~ object(X3)
| ~ object(X4)
| exemplifies_relation(greater_than,X3,X4)
| exemplifies_relation(greater_than,X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_of_greater_than])]) ).
fof(c_0_5,negated_conjecture,
! [X4] :
( object(esk2_0)
& exemplifies_property(none_greater,esk2_0)
& ( object(esk3_1(X4))
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& ( exemplifies_property(none_greater,esk3_1(X4))
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& ( esk3_1(X4) != X4
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) ) ),
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)],[c_0_3])])])])])])]) ).
cnf(c_0_6,plain,
( X1 = X2
| exemplifies_relation(greater_than,X2,X1)
| exemplifies_relation(greater_than,X1,X2)
| ~ object(X2)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
object(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ( exemplifies_property(conceivable,X3)
| ~ exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( ~ object(X4)
| ~ exemplifies_relation(greater_than,X4,X3)
| ~ exemplifies_property(conceivable,X4)
| ~ exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( object(esk1_1(X3))
| ~ exemplifies_property(conceivable,X3)
| exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( exemplifies_relation(greater_than,esk1_1(X3),X3)
| ~ exemplifies_property(conceivable,X3)
| exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( exemplifies_property(conceivable,esk1_1(X3))
| ~ exemplifies_property(conceivable,X3)
| exemplifies_property(none_greater,X3)
| ~ object(X3) ) ),
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)],[definition_none_greater])])])])])])]) ).
cnf(c_0_9,negated_conjecture,
( X1 = esk2_0
| exemplifies_relation(greater_than,esk2_0,X1)
| exemplifies_relation(greater_than,X1,esk2_0)
| ~ object(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( object(esk3_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( exemplifies_property(none_greater,esk3_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( esk3_1(X1) = esk2_0
| exemplifies_relation(greater_than,esk3_1(X1),esk2_0)
| exemplifies_relation(greater_than,esk2_0,esk3_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
exemplifies_property(none_greater,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
( exemplifies_property(conceivable,esk3_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( esk3_1(X1) = esk2_0
| exemplifies_relation(greater_than,esk2_0,esk3_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_7])]),c_0_10]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
exemplifies_property(conceivable,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_7]),c_0_15])]) ).
cnf(c_0_19,negated_conjecture,
( ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| esk3_1(X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( esk3_1(X1) = esk2_0
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_18]),c_0_7])]),c_0_10]),c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( esk2_0 != X1
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 0.00/0.11 % Command : run_ET %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Thu Jun 2 01:34:00 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.19/1.38 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.19/1.38 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.19/1.38 # Preprocessing time : 0.011 s
% 0.19/1.38
% 0.19/1.38 # Failure: Out of unprocessed clauses!
% 0.19/1.38 # OLD status GaveUp
% 0.19/1.38 # Parsed axioms : 3
% 0.19/1.38 # Removed by relevancy pruning/SinE : 2
% 0.19/1.38 # Initial clauses : 5
% 0.19/1.38 # Removed in clause preprocessing : 0
% 0.19/1.38 # Initial clauses in saturation : 5
% 0.19/1.38 # Processed clauses : 5
% 0.19/1.38 # ...of these trivial : 0
% 0.19/1.38 # ...subsumed : 0
% 0.19/1.38 # ...remaining for further processing : 5
% 0.19/1.38 # Other redundant clauses eliminated : 0
% 0.19/1.38 # Clauses deleted for lack of memory : 0
% 0.19/1.38 # Backward-subsumed : 0
% 0.19/1.38 # Backward-rewritten : 0
% 0.19/1.38 # Generated clauses : 0
% 0.19/1.38 # ...of the previous two non-trivial : 0
% 0.19/1.38 # Contextual simplify-reflections : 0
% 0.19/1.38 # Paramodulations : 0
% 0.19/1.38 # Factorizations : 0
% 0.19/1.38 # Equation resolutions : 0
% 0.19/1.38 # Current number of processed clauses : 5
% 0.19/1.38 # Positive orientable unit clauses : 2
% 0.19/1.38 # Positive unorientable unit clauses: 0
% 0.19/1.38 # Negative unit clauses : 0
% 0.19/1.38 # Non-unit-clauses : 3
% 0.19/1.38 # Current number of unprocessed clauses: 0
% 0.19/1.38 # ...number of literals in the above : 0
% 0.19/1.38 # Current number of archived formulas : 0
% 0.19/1.38 # Current number of archived clauses : 0
% 0.19/1.38 # Clause-clause subsumption calls (NU) : 2
% 0.19/1.38 # Rec. Clause-clause subsumption calls : 0
% 0.19/1.38 # Non-unit clause-clause subsumptions : 0
% 0.19/1.38 # Unit Clause-clause subsumption calls : 0
% 0.19/1.38 # Rewrite failures with RHS unbound : 0
% 0.19/1.38 # BW rewrite match attempts : 0
% 0.19/1.38 # BW rewrite match successes : 0
% 0.19/1.38 # Condensation attempts : 0
% 0.19/1.38 # Condensation successes : 0
% 0.19/1.38 # Termbank termtop insertions : 326
% 0.19/1.38
% 0.19/1.38 # -------------------------------------------------
% 0.19/1.38 # User time : 0.008 s
% 0.19/1.38 # System time : 0.003 s
% 0.19/1.38 # Total time : 0.011 s
% 0.19/1.38 # Maximum resident set size: 2768 pages
% 0.19/1.38 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.19/1.38 # Preprocessing time : 0.010 s
% 0.19/1.38
% 0.19/1.38 # Proof found!
% 0.19/1.38 # SZS status Theorem
% 0.19/1.38 # SZS output start CNFRefutation
% See solution above
% 0.19/1.38 # Proof object total steps : 23
% 0.19/1.38 # Proof object clause steps : 16
% 0.19/1.38 # Proof object formula steps : 7
% 0.19/1.38 # Proof object conjectures : 16
% 0.19/1.38 # Proof object clause conjectures : 13
% 0.19/1.38 # Proof object formula conjectures : 3
% 0.19/1.38 # Proof object initial clauses used : 8
% 0.19/1.38 # Proof object initial formulas used : 3
% 0.19/1.38 # Proof object generating inferences : 8
% 0.19/1.38 # Proof object simplifying inferences : 15
% 0.19/1.38 # Training examples: 0 positive, 0 negative
% 0.19/1.38 # Parsed axioms : 3
% 0.19/1.38 # Removed by relevancy pruning/SinE : 0
% 0.19/1.38 # Initial clauses : 11
% 0.19/1.38 # Removed in clause preprocessing : 0
% 0.19/1.38 # Initial clauses in saturation : 11
% 0.19/1.38 # Processed clauses : 19
% 0.19/1.38 # ...of these trivial : 0
% 0.19/1.38 # ...subsumed : 1
% 0.19/1.38 # ...remaining for further processing : 18
% 0.19/1.38 # Other redundant clauses eliminated : 0
% 0.19/1.38 # Clauses deleted for lack of memory : 0
% 0.19/1.38 # Backward-subsumed : 2
% 0.19/1.38 # Backward-rewritten : 0
% 0.19/1.38 # Generated clauses : 18
% 0.19/1.38 # ...of the previous two non-trivial : 12
% 0.19/1.38 # Contextual simplify-reflections : 6
% 0.19/1.38 # Paramodulations : 18
% 0.19/1.38 # Factorizations : 0
% 0.19/1.38 # Equation resolutions : 0
% 0.19/1.38 # Current number of processed clauses : 16
% 0.19/1.38 # Positive orientable unit clauses : 3
% 0.19/1.38 # Positive unorientable unit clauses: 0
% 0.19/1.38 # Negative unit clauses : 0
% 0.19/1.38 # Non-unit-clauses : 13
% 0.19/1.38 # Current number of unprocessed clauses: 4
% 0.19/1.38 # ...number of literals in the above : 23
% 0.19/1.38 # Current number of archived formulas : 0
% 0.19/1.38 # Current number of archived clauses : 2
% 0.19/1.38 # Clause-clause subsumption calls (NU) : 58
% 0.19/1.38 # Rec. Clause-clause subsumption calls : 20
% 0.19/1.38 # Non-unit clause-clause subsumptions : 9
% 0.19/1.38 # Unit Clause-clause subsumption calls : 0
% 0.19/1.38 # Rewrite failures with RHS unbound : 0
% 0.19/1.38 # BW rewrite match attempts : 0
% 0.19/1.38 # BW rewrite match successes : 0
% 0.19/1.38 # Condensation attempts : 0
% 0.19/1.38 # Condensation successes : 0
% 0.19/1.38 # Termbank termtop insertions : 1170
% 0.19/1.38
% 0.19/1.38 # -------------------------------------------------
% 0.19/1.38 # User time : 0.010 s
% 0.19/1.38 # System time : 0.001 s
% 0.19/1.38 # Total time : 0.011 s
% 0.19/1.38 # Maximum resident set size: 2772 pages
% 0.19/23.38 eprover: CPU time limit exceeded, terminating
% 0.19/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.40 eprover: No such file or directory
% 0.19/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.41 eprover: No such file or directory
% 0.19/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.41 eprover: No such file or directory
% 0.19/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.42 eprover: No such file or directory
% 0.19/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.42 eprover: No such file or directory
% 0.19/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.43 eprover: No such file or directory
% 0.19/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.43 eprover: No such file or directory
% 0.19/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.44 eprover: No such file or directory
% 0.19/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.44 eprover: No such file or directory
% 0.19/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.45 eprover: No such file or directory
% 0.19/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.19/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------