TSTP Solution File: SEU304+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU304+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 09:18:49 EDT 2022
% Result : Theorem 0.26s 2.45s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 158 ( 17 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 193 ( 71 ~; 73 |; 31 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t23_lattices,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( latt_str(X1)
=> ( meet_semilatt_str(X1)
& join_semilatt_str(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l3_lattices) ).
fof(d3_lattices,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below(X1,X2,X3)
<=> join(X1,X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_lattices) ).
fof(commutativity_k4_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k4_lattices) ).
fof(redefinition_k4_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_lattices) ).
fof(d8_lattices,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ( meet_absorbing(X1)
<=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> join(X1,meet(X1,X2,X3),X3) = X3 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_lattices) ).
fof(dt_k2_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> element(meet(X1,X2,X3),the_carrier(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_lattices) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
inference(assume_negation,[status(cth)],[t23_lattices]) ).
fof(c_0_8,plain,
! [X2] :
( ( meet_semilatt_str(X2)
| ~ latt_str(X2) )
& ( join_semilatt_str(X2)
| ~ latt_str(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_9,negated_conjecture,
( ~ empty_carrier(esk288_0)
& meet_commutative(esk288_0)
& meet_absorbing(esk288_0)
& latt_str(esk288_0)
& element(esk289_0,the_carrier(esk288_0))
& element(esk290_0,the_carrier(esk288_0))
& ~ below(esk288_0,meet_commut(esk288_0,esk289_0,esk290_0),esk289_0) ),
inference(skolemize,[status(esa)],[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)],[c_0_7])])])])])]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ( ~ below(X4,X5,X6)
| join(X4,X5,X6) = X6
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ join_semilatt_str(X4) )
& ( join(X4,X5,X6) != X6
| below(X4,X5,X6)
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ join_semilatt_str(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[d3_lattices])])])])])])]) ).
cnf(c_0_11,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
latt_str(esk288_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ meet_commutative(X4)
| ~ meet_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| meet_commut(X4,X5,X6) = meet_commut(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[commutativity_k4_lattices])])]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ meet_commutative(X4)
| ~ meet_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| meet_commut(X4,X5,X6) = meet(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k4_lattices])])]) ).
cnf(c_0_15,negated_conjecture,
~ below(esk288_0,meet_commut(esk288_0,esk289_0,esk290_0),esk289_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| join(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
element(esk289_0,the_carrier(esk288_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
~ empty_carrier(esk288_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
join_semilatt_str(esk288_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_20,plain,
( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
( join(esk288_0,meet_commut(esk288_0,esk289_0,esk290_0),esk289_0) != esk289_0
| ~ element(meet_commut(esk288_0,esk289_0,esk290_0),the_carrier(esk288_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( meet_commut(X1,X2,X3) = meet(X1,X3,X2)
| empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
meet_semilatt_str(esk288_0),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_26,negated_conjecture,
meet_commutative(esk288_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
element(esk290_0,the_carrier(esk288_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_28,plain,
! [X4,X5,X6] :
( ( ~ meet_absorbing(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| join(X4,meet(X4,X5,X6),X6) = X6
| empty_carrier(X4)
| ~ latt_str(X4) )
& ( element(esk84_1(X4),the_carrier(X4))
| meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(X4) )
& ( element(esk85_1(X4),the_carrier(X4))
| meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(X4) )
& ( join(X4,meet(X4,esk84_1(X4),esk85_1(X4)),esk85_1(X4)) != esk85_1(X4)
| meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(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)],[inference(fof_simplification,[status(thm)],[d8_lattices])])])])])])])]) ).
cnf(c_0_29,negated_conjecture,
( join(esk288_0,meet(esk288_0,esk290_0,esk289_0),esk289_0) != esk289_0
| ~ element(meet(esk288_0,esk290_0,esk289_0),the_carrier(esk288_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_17]),c_0_27])]),c_0_18]) ).
cnf(c_0_30,plain,
( empty_carrier(X1)
| join(X1,meet(X1,X2,X3),X3) = X3
| ~ latt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_absorbing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
meet_absorbing(esk288_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ meet_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| element(meet(X4,X5,X6),the_carrier(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_lattices])])]) ).
cnf(c_0_33,negated_conjecture,
~ element(meet(esk288_0,esk290_0,esk289_0),the_carrier(esk288_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_12]),c_0_17]),c_0_27])]),c_0_18]) ).
cnf(c_0_34,plain,
( element(meet(X1,X2,X3),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_17]),c_0_27])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU304+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n012.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 : Mon Jun 20 00:59:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.26/2.45 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/2.45 # Preprocessing time : 0.125 s
% 0.26/2.45
% 0.26/2.45 # Proof found!
% 0.26/2.45 # SZS status Theorem
% 0.26/2.45 # SZS output start CNFRefutation
% See solution above
% 0.26/2.45 # Proof object total steps : 36
% 0.26/2.45 # Proof object clause steps : 21
% 0.26/2.45 # Proof object formula steps : 15
% 0.26/2.45 # Proof object conjectures : 16
% 0.26/2.45 # Proof object clause conjectures : 13
% 0.26/2.45 # Proof object formula conjectures : 3
% 0.26/2.45 # Proof object initial clauses used : 14
% 0.26/2.45 # Proof object initial formulas used : 7
% 0.26/2.45 # Proof object generating inferences : 7
% 0.26/2.45 # Proof object simplifying inferences : 22
% 0.26/2.45 # Training examples: 0 positive, 0 negative
% 0.26/2.45 # Parsed axioms : 450
% 0.26/2.45 # Removed by relevancy pruning/SinE : 0
% 0.26/2.45 # Initial clauses : 1779
% 0.26/2.45 # Removed in clause preprocessing : 40
% 0.26/2.45 # Initial clauses in saturation : 1739
% 0.26/2.45 # Processed clauses : 2010
% 0.26/2.45 # ...of these trivial : 30
% 0.26/2.45 # ...subsumed : 124
% 0.26/2.45 # ...remaining for further processing : 1856
% 0.26/2.45 # Other redundant clauses eliminated : 368
% 0.26/2.45 # Clauses deleted for lack of memory : 0
% 0.26/2.45 # Backward-subsumed : 8
% 0.26/2.45 # Backward-rewritten : 37
% 0.26/2.45 # Generated clauses : 57837
% 0.26/2.45 # ...of the previous two non-trivial : 56771
% 0.26/2.45 # Contextual simplify-reflections : 224
% 0.26/2.45 # Paramodulations : 57349
% 0.26/2.45 # Factorizations : 14
% 0.26/2.45 # Equation resolutions : 450
% 0.26/2.45 # Current number of processed clauses : 1638
% 0.26/2.45 # Positive orientable unit clauses : 158
% 0.26/2.45 # Positive unorientable unit clauses: 3
% 0.26/2.45 # Negative unit clauses : 31
% 0.26/2.45 # Non-unit-clauses : 1446
% 0.26/2.45 # Current number of unprocessed clauses: 55861
% 0.26/2.45 # ...number of literals in the above : 392584
% 0.26/2.45 # Current number of archived formulas : 0
% 0.26/2.45 # Current number of archived clauses : 50
% 0.26/2.45 # Clause-clause subsumption calls (NU) : 1286841
% 0.26/2.45 # Rec. Clause-clause subsumption calls : 135814
% 0.26/2.45 # Non-unit clause-clause subsumptions : 409
% 0.26/2.45 # Unit Clause-clause subsumption calls : 30020
% 0.26/2.45 # Rewrite failures with RHS unbound : 0
% 0.26/2.45 # BW rewrite match attempts : 54
% 0.26/2.45 # BW rewrite match successes : 26
% 0.26/2.45 # Condensation attempts : 0
% 0.26/2.45 # Condensation successes : 0
% 0.26/2.45 # Termbank termtop insertions : 1597692
% 0.26/2.45
% 0.26/2.45 # -------------------------------------------------
% 0.26/2.45 # User time : 1.255 s
% 0.26/2.45 # System time : 0.036 s
% 0.26/2.45 # Total time : 1.291 s
% 0.26/2.45 # Maximum resident set size: 66632 pages
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------