%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU305+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 0.64s 47.82s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 109 ( 23 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 124 ( 45 ~; 42 |; 23 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 38 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p',t26_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',d3_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/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k3_lattices) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',commutativity_k3_lattices) ).
fof(c_0_4,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]) ).
fof(c_0_5,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])])])])])])]) ).
fof(c_0_6,negated_conjecture,
( ~ empty_carrier(esk290_0)
& join_commutative(esk290_0)
& join_semilatt_str(esk290_0)
& element(esk291_0,the_carrier(esk290_0))
& element(esk292_0,the_carrier(esk290_0))
& below(esk290_0,esk291_0,esk292_0)
& below(esk290_0,esk292_0,esk291_0)
& esk291_0 != esk292_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_4])])])])])]) ).
fof(c_0_7,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_8,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_5]) ).
cnf(c_0_9,negated_conjecture,
element(esk292_0,the_carrier(esk290_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
join_semilatt_str(esk290_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
~ empty_carrier(esk290_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
element(esk291_0,the_carrier(esk290_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,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])])]) ).
cnf(c_0_14,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_7]) ).
cnf(c_0_15,negated_conjecture,
join_commutative(esk290_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( join(esk290_0,X1,esk292_0) = esk292_0
| ~ below(esk290_0,X1,esk292_0)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
below(esk290_0,esk291_0,esk292_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( join(esk290_0,X1,esk291_0) = esk291_0
| ~ below(esk290_0,X1,esk291_0)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_10])]),c_0_11]) ).
cnf(c_0_19,negated_conjecture,
below(esk290_0,esk292_0,esk291_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,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_13]) ).
cnf(c_0_21,negated_conjecture,
( join_commut(esk290_0,X1,esk292_0) = join(esk290_0,X1,esk292_0)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_9]),c_0_10]),c_0_15])]),c_0_11]) ).
cnf(c_0_22,negated_conjecture,
join(esk290_0,esk291_0,esk292_0) = esk292_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_12])]) ).
cnf(c_0_23,negated_conjecture,
( join_commut(esk290_0,X1,esk291_0) = join(esk290_0,X1,esk291_0)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_10]),c_0_15])]),c_0_11]) ).
cnf(c_0_24,negated_conjecture,
join(esk290_0,esk292_0,esk291_0) = esk291_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_9])]) ).
cnf(c_0_25,negated_conjecture,
( join_commut(esk290_0,X1,esk292_0) = join_commut(esk290_0,esk292_0,X1)
| ~ element(X1,the_carrier(esk290_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_9]),c_0_10]),c_0_15])]),c_0_11]) ).
cnf(c_0_26,negated_conjecture,
join_commut(esk290_0,esk291_0,esk292_0) = esk292_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_22]) ).
cnf(c_0_27,negated_conjecture,
join_commut(esk290_0,esk292_0,esk291_0) = esk291_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_9]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
esk291_0 != esk292_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_12]),c_0_26]),c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU305+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 20 12:11:22 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.46/23.46 eprover: CPU time limit exceeded, terminating
% 0.46/23.47 eprover: CPU time limit exceeded, terminating
% 0.46/23.48 eprover: CPU time limit exceeded, terminating
% 0.46/23.51 eprover: CPU time limit exceeded, terminating
% 0.64/46.48 eprover: CPU time limit exceeded, terminating
% 0.64/46.49 eprover: CPU time limit exceeded, terminating
% 0.64/46.52 eprover: CPU time limit exceeded, terminating
% 0.64/46.52 eprover: CPU time limit exceeded, terminating
% 0.64/47.82 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.64/47.82
% 0.64/47.82 # Failure: Resource limit exceeded (time)
% 0.64/47.82 # OLD status Res
% 0.64/47.82 # Preprocessing time : 0.123 s
% 0.64/47.82 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.64/47.82
% 0.64/47.82 # Failure: Resource limit exceeded (time)
% 0.64/47.82 # OLD status Res
% 0.64/47.82 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.64/47.82 # Preprocessing time : 0.021 s
% 0.64/47.82 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.64/47.82 # Preprocessing time : 0.068 s
% 0.64/47.82
% 0.64/47.82 # Proof found!
% 0.64/47.82 # SZS status Theorem
% 0.64/47.82 # SZS output start CNFRefutation
% See solution above
% 0.64/47.82 # Proof object total steps : 30
% 0.64/47.82 # Proof object clause steps : 21
% 0.64/47.82 # Proof object formula steps : 9
% 0.64/47.82 # Proof object conjectures : 21
% 0.64/47.82 # Proof object clause conjectures : 18
% 0.64/47.82 # Proof object formula conjectures : 3
% 0.64/47.82 # Proof object initial clauses used : 11
% 0.64/47.82 # Proof object initial formulas used : 4
% 0.64/47.82 # Proof object generating inferences : 10
% 0.64/47.82 # Proof object simplifying inferences : 27
% 0.64/47.82 # Training examples: 0 positive, 0 negative
% 0.64/47.82 # Parsed axioms : 454
% 0.64/47.82 # Removed by relevancy pruning/SinE : 0
% 0.64/47.82 # Initial clauses : 1784
% 0.64/47.82 # Removed in clause preprocessing : 40
% 0.64/47.82 # Initial clauses in saturation : 1744
% 0.64/47.82 # Processed clauses : 3196
% 0.64/47.82 # ...of these trivial : 183
% 0.64/47.82 # ...subsumed : 372
% 0.64/47.82 # ...remaining for further processing : 2641
% 0.64/47.82 # Other redundant clauses eliminated : 279
% 0.64/47.82 # Clauses deleted for lack of memory : 0
% 0.64/47.82 # Backward-subsumed : 30
% 0.64/47.82 # Backward-rewritten : 163
% 0.64/47.82 # Generated clauses : 46145
% 0.64/47.82 # ...of the previous two non-trivial : 43954
% 0.64/47.82 # Contextual simplify-reflections : 245
% 0.64/47.82 # Paramodulations : 45733
% 0.64/47.82 # Factorizations : 17
% 0.64/47.82 # Equation resolutions : 442
% 0.64/47.82 # Current number of processed clauses : 2312
% 0.64/47.82 # Positive orientable unit clauses : 566
% 0.64/47.82 # Positive unorientable unit clauses: 3
% 0.64/47.82 # Negative unit clauses : 58
% 0.64/47.82 # Non-unit-clauses : 1685
% 0.64/47.82 # Current number of unprocessed clauses: 32729
% 0.64/47.82 # ...number of literals in the above : 162285
% 0.64/47.82 # Current number of archived formulas : 0
% 0.64/47.82 # Current number of archived clauses : 198
% 0.64/47.82 # Clause-clause subsumption calls (NU) : 1223848
% 0.64/47.82 # Rec. Clause-clause subsumption calls : 131218
% 0.64/47.82 # Non-unit clause-clause subsumptions : 560
% 0.64/47.82 # Unit Clause-clause subsumption calls : 49668
% 0.64/47.82 # Rewrite failures with RHS unbound : 0
% 0.64/47.82 # BW rewrite match attempts : 341
% 0.64/47.82 # BW rewrite match successes : 114
% 0.64/47.82 # Condensation attempts : 0
% 0.64/47.82 # Condensation successes : 0
% 0.64/47.82 # Termbank termtop insertions : 1096350
% 0.64/47.82
% 0.64/47.82 # -------------------------------------------------
% 0.64/47.82 # User time : 0.905 s
% 0.64/47.82 # System time : 0.033 s
% 0.64/47.82 # Total time : 0.938 s
% 0.64/47.82 # Maximum resident set size: 44200 pages
% 0.64/69.51 eprover: CPU time limit exceeded, terminating
% 0.64/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.52 eprover: No such file or directory
% 0.64/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.53 eprover: No such file or directory
% 0.64/69.53 eprover: CPU time limit exceeded, terminating
% 0.64/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.54 eprover: No such file or directory
% 0.64/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.54 eprover: No such file or directory
% 0.64/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.55 eprover: No such file or directory
% 0.64/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.55 eprover: No such file or directory
% 0.64/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.55 eprover: No such file or directory
% 0.64/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.55 eprover: No such file or directory
% 0.64/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.56 eprover: No such file or directory
% 0.64/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.56 eprover: No such file or directory
% 0.64/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.56 eprover: No such file or directory
% 0.64/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.64/69.56 eprover: No such file or directory
% 0.64/69.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.57 eprover: No such file or directory
% 0.64/69.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.57 eprover: No such file or directory
% 0.64/69.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.57 eprover: No such file or directory
% 0.64/69.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.58 eprover: No such file or directory
% 0.64/69.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.64/69.58 eprover: No such file or directory
%------------------------------------------------------------------------------