TSTP Solution File: SEU305+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 09:18:49 EDT 2022
% Result : Theorem 0.18s 1.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 120 ( 18 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 152 ( 57 ~; 58 |; 23 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> join_commut(X1,X2,X3) = join_commut(X1,X3,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_lattices) ).
fof(redefinition_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> join_commut(X1,X2,X3) = join(X1,X2,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k3_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_lattices) ).
fof(t26_lattices,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( below(X1,X2,X3)
& below(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_lattices) ).
fof(c_0_4,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ join_commutative(X4)
| ~ join_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| join_commut(X4,X5,X6) = join_commut(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[commutativity_k3_lattices])])]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ join_commutative(X4)
| ~ join_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| join_commut(X4,X5,X6) = join(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k3_lattices])])]) ).
cnf(c_0_6,plain,
( join_commut(X1,X2,X3) = join_commut(X1,X3,X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ join_semilatt_str(X1)
| ~ join_commutative(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( join_commut(X1,X2,X3) = join(X1,X2,X3)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ join_semilatt_str(X1)
| ~ join_commutative(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,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_9,plain,
( join_commut(X1,X2,X3) = join(X1,X3,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ join_semilatt_str(X1)
| ~ join_commutative(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( empty_carrier(X1)
| join(X1,X2,X3) = X3
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ below(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( join(X1,X2,X3) = join(X1,X3,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ join_semilatt_str(X1)
| ~ join_commutative(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( below(X1,X2,X3)
& below(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
inference(assume_negation,[status(cth)],[t26_lattices]) ).
cnf(c_0_13,plain,
( join(X1,X2,X3) = X2
| empty_carrier(X1)
| ~ below(X1,X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ join_semilatt_str(X1)
| ~ join_commutative(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,negated_conjecture,
( ~ empty_carrier(esk1_0)
& join_commutative(esk1_0)
& join_semilatt_str(esk1_0)
& element(esk2_0,the_carrier(esk1_0))
& element(esk3_0,the_carrier(esk1_0))
& below(esk1_0,esk2_0,esk3_0)
& below(esk1_0,esk3_0,esk2_0)
& esk2_0 != esk3_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_12])])])])])]) ).
cnf(c_0_15,plain,
( X1 = X2
| empty_carrier(X3)
| ~ below(X3,X1,X2)
| ~ below(X3,X2,X1)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ join_semilatt_str(X3)
| ~ join_commutative(X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
below(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
below(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
join_semilatt_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
join_commutative(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.10 % Command : run_ET %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 19:08:02 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.18/1.36 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.18/1.36 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.18/1.36 # Preprocessing time : 0.013 s
% 0.18/1.36
% 0.18/1.36 # Proof found!
% 0.18/1.36 # SZS status Theorem
% 0.18/1.36 # SZS output start CNFRefutation
% See solution above
% 0.18/1.36 # Proof object total steps : 25
% 0.18/1.36 # Proof object clause steps : 16
% 0.18/1.36 # Proof object formula steps : 9
% 0.18/1.36 # Proof object conjectures : 12
% 0.18/1.36 # Proof object clause conjectures : 9
% 0.18/1.36 # Proof object formula conjectures : 3
% 0.18/1.36 # Proof object initial clauses used : 11
% 0.18/1.36 # Proof object initial formulas used : 4
% 0.18/1.36 # Proof object generating inferences : 5
% 0.18/1.36 # Proof object simplifying inferences : 8
% 0.18/1.36 # Training examples: 0 positive, 0 negative
% 0.18/1.36 # Parsed axioms : 42
% 0.18/1.36 # Removed by relevancy pruning/SinE : 34
% 0.18/1.36 # Initial clauses : 16
% 0.18/1.36 # Removed in clause preprocessing : 0
% 0.18/1.36 # Initial clauses in saturation : 16
% 0.18/1.36 # Processed clauses : 31
% 0.18/1.36 # ...of these trivial : 0
% 0.18/1.36 # ...subsumed : 10
% 0.18/1.36 # ...remaining for further processing : 21
% 0.18/1.36 # Other redundant clauses eliminated : 2
% 0.18/1.36 # Clauses deleted for lack of memory : 0
% 0.18/1.36 # Backward-subsumed : 0
% 0.18/1.36 # Backward-rewritten : 0
% 0.18/1.36 # Generated clauses : 30
% 0.18/1.36 # ...of the previous two non-trivial : 20
% 0.18/1.36 # Contextual simplify-reflections : 4
% 0.18/1.36 # Paramodulations : 28
% 0.18/1.36 # Factorizations : 0
% 0.18/1.36 # Equation resolutions : 2
% 0.18/1.36 # Current number of processed clauses : 21
% 0.18/1.36 # Positive orientable unit clauses : 8
% 0.18/1.36 # Positive unorientable unit clauses: 0
% 0.18/1.36 # Negative unit clauses : 2
% 0.18/1.36 # Non-unit-clauses : 11
% 0.18/1.36 # Current number of unprocessed clauses: 5
% 0.18/1.36 # ...number of literals in the above : 35
% 0.18/1.36 # Current number of archived formulas : 0
% 0.18/1.36 # Current number of archived clauses : 0
% 0.18/1.36 # Clause-clause subsumption calls (NU) : 33
% 0.18/1.36 # Rec. Clause-clause subsumption calls : 14
% 0.18/1.36 # Non-unit clause-clause subsumptions : 14
% 0.18/1.36 # Unit Clause-clause subsumption calls : 0
% 0.18/1.36 # Rewrite failures with RHS unbound : 0
% 0.18/1.36 # BW rewrite match attempts : 0
% 0.18/1.36 # BW rewrite match successes : 0
% 0.18/1.36 # Condensation attempts : 0
% 0.18/1.36 # Condensation successes : 0
% 0.18/1.36 # Termbank termtop insertions : 2544
% 0.18/1.36
% 0.18/1.36 # -------------------------------------------------
% 0.18/1.36 # User time : 0.012 s
% 0.18/1.36 # System time : 0.003 s
% 0.18/1.36 # Total time : 0.015 s
% 0.18/1.36 # Maximum resident set size: 2744 pages
% 0.18/23.35 eprover: CPU time limit exceeded, terminating
% 0.18/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.37 eprover: No such file or directory
% 0.18/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.38 eprover: No such file or directory
% 0.18/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.38 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
%------------------------------------------------------------------------------