TSTP Solution File: SEU257+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:18:22 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 175 ( 78 ~; 69 |; 11 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 6 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( well_ordering(X2)
=> well_ordering(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t32_wellord1) ).
fof(d4_wellord1,axiom,
! [X1] :
( relation(X1)
=> ( well_ordering(X1)
<=> ( reflexive(X1)
& transitive(X1)
& antisymmetric(X1)
& connected(X1)
& well_founded_relation(X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_wellord1) ).
fof(t22_wellord1,lemma,
! [X1,X2] :
( relation(X2)
=> ( reflexive(X2)
=> reflexive(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t22_wellord1) ).
fof(t24_wellord1,lemma,
! [X1,X2] :
( relation(X2)
=> ( transitive(X2)
=> transitive(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t24_wellord1) ).
fof(t25_wellord1,lemma,
! [X1,X2] :
( relation(X2)
=> ( antisymmetric(X2)
=> antisymmetric(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t25_wellord1) ).
fof(t31_wellord1,lemma,
! [X1,X2] :
( relation(X2)
=> ( well_founded_relation(X2)
=> well_founded_relation(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t31_wellord1) ).
fof(t23_wellord1,lemma,
! [X1,X2] :
( relation(X2)
=> ( connected(X2)
=> connected(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_wellord1) ).
fof(dt_k2_wellord1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_wellord1) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( well_ordering(X2)
=> well_ordering(relation_restriction(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[t32_wellord1]) ).
fof(c_0_9,negated_conjecture,
( relation(esk2_0)
& well_ordering(esk2_0)
& ~ well_ordering(relation_restriction(esk2_0,esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_10,plain,
! [X2] :
( ( reflexive(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( transitive(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( antisymmetric(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( connected(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( well_founded_relation(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( ~ reflexive(X2)
| ~ transitive(X2)
| ~ antisymmetric(X2)
| ~ connected(X2)
| ~ well_founded_relation(X2)
| well_ordering(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_wellord1])])]) ).
cnf(c_0_11,negated_conjecture,
~ well_ordering(relation_restriction(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( well_ordering(X1)
| ~ relation(X1)
| ~ well_founded_relation(X1)
| ~ connected(X1)
| ~ antisymmetric(X1)
| ~ transitive(X1)
| ~ reflexive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,lemma,
! [X3,X4] :
( ~ relation(X4)
| ~ reflexive(X4)
| reflexive(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_wellord1])]) ).
cnf(c_0_14,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
well_ordering(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ reflexive(relation_restriction(esk2_0,esk1_0))
| ~ well_founded_relation(relation_restriction(esk2_0,esk1_0))
| ~ transitive(relation_restriction(esk2_0,esk1_0))
| ~ connected(relation_restriction(esk2_0,esk1_0))
| ~ antisymmetric(relation_restriction(esk2_0,esk1_0))
| ~ relation(relation_restriction(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,lemma,
( reflexive(relation_restriction(X1,X2))
| ~ reflexive(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
reflexive(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
fof(c_0_20,lemma,
! [X3,X4] :
( ~ relation(X4)
| ~ transitive(X4)
| transitive(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_wellord1])]) ).
cnf(c_0_21,plain,
( transitive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,lemma,
( ~ well_founded_relation(relation_restriction(esk2_0,esk1_0))
| ~ transitive(relation_restriction(esk2_0,esk1_0))
| ~ connected(relation_restriction(esk2_0,esk1_0))
| ~ antisymmetric(relation_restriction(esk2_0,esk1_0))
| ~ relation(relation_restriction(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_16])]) ).
cnf(c_0_23,lemma,
( transitive(relation_restriction(X1,X2))
| ~ transitive(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
transitive(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_16])]) ).
fof(c_0_25,lemma,
! [X3,X4] :
( ~ relation(X4)
| ~ antisymmetric(X4)
| antisymmetric(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_wellord1])]) ).
cnf(c_0_26,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,lemma,
( ~ well_founded_relation(relation_restriction(esk2_0,esk1_0))
| ~ connected(relation_restriction(esk2_0,esk1_0))
| ~ antisymmetric(relation_restriction(esk2_0,esk1_0))
| ~ relation(relation_restriction(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_16])]) ).
cnf(c_0_28,lemma,
( antisymmetric(relation_restriction(X1,X2))
| ~ antisymmetric(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
antisymmetric(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_16])]) ).
fof(c_0_30,lemma,
! [X3,X4] :
( ~ relation(X4)
| ~ well_founded_relation(X4)
| well_founded_relation(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t31_wellord1])]) ).
cnf(c_0_31,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,lemma,
( ~ well_founded_relation(relation_restriction(esk2_0,esk1_0))
| ~ connected(relation_restriction(esk2_0,esk1_0))
| ~ relation(relation_restriction(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_16])]) ).
cnf(c_0_33,lemma,
( well_founded_relation(relation_restriction(X1,X2))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
well_founded_relation(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_15]),c_0_16])]) ).
fof(c_0_35,lemma,
! [X3,X4] :
( ~ relation(X4)
| ~ connected(X4)
| connected(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_wellord1])]) ).
cnf(c_0_36,plain,
( connected(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,lemma,
( ~ connected(relation_restriction(esk2_0,esk1_0))
| ~ relation(relation_restriction(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_16])]) ).
cnf(c_0_38,lemma,
( connected(relation_restriction(X1,X2))
| ~ connected(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
connected(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_16])]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_restriction(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_wellord1])])])]) ).
cnf(c_0_41,lemma,
~ relation(relation_restriction(esk2_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_16])]) ).
cnf(c_0_42,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_43,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 18:54:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.033 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 44
% 0.25/1.43 # Proof object clause steps : 27
% 0.25/1.43 # Proof object formula steps : 17
% 0.25/1.43 # Proof object conjectures : 12
% 0.25/1.43 # Proof object clause conjectures : 9
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 15
% 0.25/1.43 # Proof object initial formulas used : 8
% 0.25/1.43 # Proof object generating inferences : 12
% 0.25/1.43 # Proof object simplifying inferences : 27
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 316
% 0.25/1.43 # Removed by relevancy pruning/SinE : 215
% 0.25/1.43 # Initial clauses : 234
% 0.25/1.43 # Removed in clause preprocessing : 2
% 0.25/1.43 # Initial clauses in saturation : 232
% 0.25/1.43 # Processed clauses : 261
% 0.25/1.43 # ...of these trivial : 3
% 0.25/1.43 # ...subsumed : 11
% 0.25/1.43 # ...remaining for further processing : 247
% 0.25/1.43 # Other redundant clauses eliminated : 6
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 5
% 0.25/1.43 # Backward-rewritten : 24
% 0.25/1.43 # Generated clauses : 1443
% 0.25/1.43 # ...of the previous two non-trivial : 1382
% 0.25/1.43 # Contextual simplify-reflections : 9
% 0.25/1.43 # Paramodulations : 1418
% 0.25/1.43 # Factorizations : 6
% 0.25/1.43 # Equation resolutions : 19
% 0.25/1.43 # Current number of processed clauses : 215
% 0.25/1.43 # Positive orientable unit clauses : 20
% 0.25/1.43 # Positive unorientable unit clauses: 1
% 0.25/1.43 # Negative unit clauses : 5
% 0.25/1.43 # Non-unit-clauses : 189
% 0.25/1.43 # Current number of unprocessed clauses: 1165
% 0.25/1.43 # ...number of literals in the above : 5786
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 29
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 14345
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 4917
% 0.25/1.43 # Non-unit clause-clause subsumptions : 24
% 0.25/1.43 # Unit Clause-clause subsumption calls : 1526
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 1
% 0.25/1.43 # BW rewrite match successes : 1
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 42165
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.079 s
% 0.25/1.43 # System time : 0.006 s
% 0.25/1.43 # Total time : 0.085 s
% 0.25/1.43 # Maximum resident set size: 5612 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------