TSTP Solution File: SEU243+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU243+2 : TPTP v8.1.0. Released v3.3.0.
% 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 09:18:14 EDT 2022
% Result : Theorem 0.27s 6.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 123 ( 14 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 165 ( 69 ~; 72 |; 16 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 43 ( 1 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_wellord1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_well_founded_in(X1,X2)
<=> ! [X3] :
~ ( subset(X3,X2)
& X3 != empty_set
& ! [X4] :
~ ( in(X4,X3)
& disjoint(fiber(X1,X4),X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_wellord1) ).
fof(d2_wellord1,axiom,
! [X1] :
( relation(X1)
=> ( well_founded_relation(X1)
<=> ! [X2] :
~ ( subset(X2,relation_field(X1))
& X2 != empty_set
& ! [X3] :
~ ( in(X3,X2)
& disjoint(fiber(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_wellord1) ).
fof(t5_wellord1,conjecture,
! [X1] :
( relation(X1)
=> ( well_founded_relation(X1)
<=> is_well_founded_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_wellord1) ).
fof(c_0_3,plain,
! [X5,X6,X7,X6,X10] :
( ( in(esk45_3(X5,X6,X7),X7)
| ~ subset(X7,X6)
| X7 = empty_set
| ~ is_well_founded_in(X5,X6)
| ~ relation(X5) )
& ( disjoint(fiber(X5,esk45_3(X5,X6,X7)),X7)
| ~ subset(X7,X6)
| X7 = empty_set
| ~ is_well_founded_in(X5,X6)
| ~ relation(X5) )
& ( subset(esk46_2(X5,X6),X6)
| is_well_founded_in(X5,X6)
| ~ relation(X5) )
& ( esk46_2(X5,X6) != empty_set
| is_well_founded_in(X5,X6)
| ~ relation(X5) )
& ( ~ in(X10,esk46_2(X5,X6))
| ~ disjoint(fiber(X5,X10),esk46_2(X5,X6))
| is_well_founded_in(X5,X6)
| ~ relation(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)],[d3_wellord1])])])])])])]) ).
fof(c_0_4,plain,
! [X4,X5,X8] :
( ( in(esk32_2(X4,X5),X5)
| ~ subset(X5,relation_field(X4))
| X5 = empty_set
| ~ well_founded_relation(X4)
| ~ relation(X4) )
& ( disjoint(fiber(X4,esk32_2(X4,X5)),X5)
| ~ subset(X5,relation_field(X4))
| X5 = empty_set
| ~ well_founded_relation(X4)
| ~ relation(X4) )
& ( subset(esk33_1(X4),relation_field(X4))
| well_founded_relation(X4)
| ~ relation(X4) )
& ( esk33_1(X4) != empty_set
| well_founded_relation(X4)
| ~ relation(X4) )
& ( ~ in(X8,esk33_1(X4))
| ~ disjoint(fiber(X4,X8),esk33_1(X4))
| well_founded_relation(X4)
| ~ relation(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)],[d2_wellord1])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( well_founded_relation(X1)
<=> is_well_founded_in(X1,relation_field(X1)) ) ),
inference(assume_negation,[status(cth)],[t5_wellord1]) ).
cnf(c_0_6,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ disjoint(fiber(X1,X3),esk46_2(X1,X2))
| ~ in(X3,esk46_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( X2 = empty_set
| disjoint(fiber(X1,esk32_2(X1,X2)),X2)
| ~ relation(X1)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( X2 = empty_set
| in(esk32_2(X1,X2),X2)
| ~ relation(X1)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| esk46_2(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_10,negated_conjecture,
( relation(esk118_0)
& ( ~ well_founded_relation(esk118_0)
| ~ is_well_founded_in(esk118_0,relation_field(esk118_0)) )
& ( well_founded_relation(esk118_0)
| is_well_founded_in(esk118_0,relation_field(esk118_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_11,plain,
( is_well_founded_in(X1,X2)
| ~ well_founded_relation(X1)
| ~ subset(esk46_2(X1,X2),relation_field(X1))
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).
cnf(c_0_12,plain,
( is_well_founded_in(X1,X2)
| subset(esk46_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
( ~ is_well_founded_in(esk118_0,relation_field(esk118_0))
| ~ well_founded_relation(esk118_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( is_well_founded_in(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
relation(esk118_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ disjoint(fiber(X1,X2),esk33_1(X1))
| ~ in(X2,esk33_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( X3 = empty_set
| disjoint(fiber(X1,esk45_3(X1,X2,X3)),X3)
| ~ relation(X1)
| ~ is_well_founded_in(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,plain,
( X3 = empty_set
| in(esk45_3(X1,X2,X3),X3)
| ~ relation(X1)
| ~ is_well_founded_in(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| esk33_1(X1) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( is_well_founded_in(esk118_0,relation_field(esk118_0))
| well_founded_relation(esk118_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
~ well_founded_relation(esk118_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_22,plain,
( well_founded_relation(X1)
| ~ is_well_founded_in(X1,X2)
| ~ subset(esk33_1(X1),X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
is_well_founded_in(esk118_0,relation_field(esk118_0)),
inference(sr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ subset(esk33_1(esk118_0),relation_field(esk118_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15])]),c_0_21]) ).
cnf(c_0_25,plain,
( well_founded_relation(X1)
| subset(esk33_1(X1),relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_15])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU243+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 13:50:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.27/6.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.27/6.44 # Preprocessing time : 0.049 s
% 0.27/6.44
% 0.27/6.44 # Proof found!
% 0.27/6.44 # SZS status Theorem
% 0.27/6.44 # SZS output start CNFRefutation
% See solution above
% 0.27/6.44 # Proof object total steps : 27
% 0.27/6.44 # Proof object clause steps : 20
% 0.27/6.44 # Proof object formula steps : 7
% 0.27/6.44 # Proof object conjectures : 10
% 0.27/6.44 # Proof object clause conjectures : 7
% 0.27/6.44 # Proof object formula conjectures : 3
% 0.27/6.44 # Proof object initial clauses used : 13
% 0.27/6.44 # Proof object initial formulas used : 3
% 0.27/6.44 # Proof object generating inferences : 6
% 0.27/6.44 # Proof object simplifying inferences : 13
% 0.27/6.44 # Training examples: 0 positive, 0 negative
% 0.27/6.44 # Parsed axioms : 296
% 0.27/6.44 # Removed by relevancy pruning/SinE : 0
% 0.27/6.44 # Initial clauses : 632
% 0.27/6.44 # Removed in clause preprocessing : 30
% 0.27/6.44 # Initial clauses in saturation : 602
% 0.27/6.44 # Processed clauses : 11487
% 0.27/6.44 # ...of these trivial : 120
% 0.27/6.44 # ...subsumed : 7353
% 0.27/6.44 # ...remaining for further processing : 4014
% 0.27/6.44 # Other redundant clauses eliminated : 728
% 0.27/6.44 # Clauses deleted for lack of memory : 125811
% 0.27/6.44 # Backward-subsumed : 104
% 0.27/6.44 # Backward-rewritten : 62
% 0.27/6.44 # Generated clauses : 270543
% 0.27/6.44 # ...of the previous two non-trivial : 257848
% 0.27/6.44 # Contextual simplify-reflections : 2602
% 0.27/6.44 # Paramodulations : 269462
% 0.27/6.44 # Factorizations : 21
% 0.27/6.44 # Equation resolutions : 1047
% 0.27/6.44 # Current number of processed clauses : 3833
% 0.27/6.44 # Positive orientable unit clauses : 187
% 0.27/6.44 # Positive unorientable unit clauses: 3
% 0.27/6.44 # Negative unit clauses : 366
% 0.27/6.44 # Non-unit-clauses : 3277
% 0.27/6.44 # Current number of unprocessed clauses: 117881
% 0.27/6.44 # ...number of literals in the above : 635275
% 0.27/6.44 # Current number of archived formulas : 0
% 0.27/6.44 # Current number of archived clauses : 172
% 0.27/6.44 # Clause-clause subsumption calls (NU) : 6676719
% 0.27/6.44 # Rec. Clause-clause subsumption calls : 2350845
% 0.27/6.44 # Non-unit clause-clause subsumptions : 4767
% 0.27/6.44 # Unit Clause-clause subsumption calls : 271461
% 0.27/6.44 # Rewrite failures with RHS unbound : 0
% 0.27/6.44 # BW rewrite match attempts : 102
% 0.27/6.44 # BW rewrite match successes : 50
% 0.27/6.44 # Condensation attempts : 0
% 0.27/6.44 # Condensation successes : 0
% 0.27/6.44 # Termbank termtop insertions : 5712276
% 0.27/6.44
% 0.27/6.44 # -------------------------------------------------
% 0.27/6.44 # User time : 5.611 s
% 0.27/6.44 # System time : 0.097 s
% 0.27/6.44 # Total time : 5.708 s
% 0.27/6.44 # Maximum resident set size: 135780 pages
% 0.28/23.41 eprover: CPU time limit exceeded, terminating
% 0.28/23.41 eprover: CPU time limit exceeded, terminating
% 0.28/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.42 eprover: No such file or directory
% 0.28/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.43 eprover: No such file or directory
% 0.28/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.43 eprover: No such file or directory
% 0.28/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.43 eprover: No such file or directory
% 0.28/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.44 eprover: No such file or directory
% 0.28/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.44 eprover: No such file or directory
% 0.28/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.44 eprover: No such file or directory
% 0.28/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.44 eprover: No such file or directory
% 0.28/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.44 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------