TSTP Solution File: SEU388+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU388+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 09:19:35 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 106 ( 8 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 136 ( 54 ~; 55 |; 17 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 17 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_yellow19,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_yellow19) ).
fof(fraenkel_a_2_0_yellow19,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& topological_space(X2)
& top_str(X2)
& element(X3,the_carrier(X2)) )
=> ( in(X1,a_2_0_yellow19(X2,X3))
<=> ? [X4] :
( point_neighbourhood(X4,X2,X3)
& X1 = X4 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fraenkel_a_2_0_yellow19) ).
fof(d1_yellow19,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_yellow19) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( in(X3,neighborhood_system(X1,X2))
<=> point_neighbourhood(X3,X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[t3_yellow19]) ).
fof(c_0_4,plain,
! [X5,X6,X7,X9] :
( ( point_neighbourhood(esk8_3(X5,X6,X7),X6,X7)
| ~ in(X5,a_2_0_yellow19(X6,X7))
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,the_carrier(X6)) )
& ( X5 = esk8_3(X5,X6,X7)
| ~ in(X5,a_2_0_yellow19(X6,X7))
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,the_carrier(X6)) )
& ( ~ point_neighbourhood(X9,X6,X7)
| X5 != X9
| in(X5,a_2_0_yellow19(X6,X7))
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,the_carrier(X6)) ) ),
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)],[fraenkel_a_2_0_yellow19])])])])])])])]) ).
fof(c_0_5,negated_conjecture,
( ~ empty_carrier(esk44_0)
& topological_space(esk44_0)
& top_str(esk44_0)
& element(esk45_0,the_carrier(esk44_0))
& ( ~ in(esk46_0,neighborhood_system(esk44_0,esk45_0))
| ~ point_neighbourhood(esk46_0,esk44_0,esk45_0) )
& ( in(esk46_0,neighborhood_system(esk44_0,esk45_0))
| point_neighbourhood(esk46_0,esk44_0,esk45_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_3])])])])])]) ).
cnf(c_0_6,plain,
( empty_carrier(X2)
| point_neighbourhood(esk8_3(X3,X2,X1),X2,X1)
| ~ element(X1,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,a_2_0_yellow19(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( empty_carrier(X2)
| X3 = esk8_3(X3,X2,X1)
| ~ element(X1,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,a_2_0_yellow19(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( ~ point_neighbourhood(esk46_0,esk44_0,esk45_0)
| ~ in(esk46_0,neighborhood_system(esk44_0,esk45_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ element(X3,the_carrier(X2))
| ~ in(X1,a_2_0_yellow19(X2,X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
top_str(esk44_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
topological_space(esk44_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
element(esk45_0,the_carrier(esk44_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
~ empty_carrier(esk44_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X3,X4] :
( empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X4,the_carrier(X3))
| neighborhood_system(X3,X4) = a_2_0_yellow19(X3,X4) ),
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)],[d1_yellow19])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ in(esk46_0,neighborhood_system(esk44_0,esk45_0))
| ~ in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0)) ),
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_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_16,plain,
( neighborhood_system(X1,X2) = a_2_0_yellow19(X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( empty_carrier(X2)
| in(X3,a_2_0_yellow19(X2,X1))
| ~ element(X1,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2)
| X3 != X4
| ~ point_neighbourhood(X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( point_neighbourhood(esk46_0,esk44_0,esk45_0)
| in(esk46_0,neighborhood_system(esk44_0,esk45_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
~ in(esk46_0,neighborhood_system(esk44_0,esk45_0)),
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_15,c_0_16]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_20,plain,
( empty_carrier(X1)
| in(X2,a_2_0_yellow19(X1,X3))
| ~ point_neighbourhood(X2,X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,the_carrier(X1)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
point_neighbourhood(esk46_0,esk44_0,esk45_0),
inference(sr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0)),
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_20,c_0_21]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_23,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(spm,[status(thm)],[c_0_22,c_0_16]),c_0_10]),c_0_11]),c_0_12])]),c_0_19]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU388+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 11:02:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.42 # Preprocessing time : 0.026 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 24
% 0.23/1.42 # Proof object clause steps : 17
% 0.23/1.42 # Proof object formula steps : 7
% 0.23/1.42 # Proof object conjectures : 14
% 0.23/1.42 # Proof object clause conjectures : 11
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 10
% 0.23/1.42 # Proof object initial formulas used : 3
% 0.23/1.42 # Proof object generating inferences : 5
% 0.23/1.42 # Proof object simplifying inferences : 23
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 119
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 385
% 0.23/1.42 # Removed in clause preprocessing : 35
% 0.23/1.42 # Initial clauses in saturation : 350
% 0.23/1.42 # Processed clauses : 541
% 0.23/1.42 # ...of these trivial : 52
% 0.23/1.42 # ...subsumed : 39
% 0.23/1.42 # ...remaining for further processing : 450
% 0.23/1.42 # Other redundant clauses eliminated : 1
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 1
% 0.23/1.42 # Backward-rewritten : 18
% 0.23/1.42 # Generated clauses : 734
% 0.23/1.42 # ...of the previous two non-trivial : 626
% 0.23/1.42 # Contextual simplify-reflections : 16
% 0.23/1.42 # Paramodulations : 722
% 0.23/1.42 # Factorizations : 6
% 0.23/1.42 # Equation resolutions : 1
% 0.23/1.42 # Current number of processed clauses : 427
% 0.23/1.42 # Positive orientable unit clauses : 146
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 21
% 0.23/1.42 # Non-unit-clauses : 260
% 0.23/1.42 # Current number of unprocessed clauses: 413
% 0.23/1.42 # ...number of literals in the above : 1617
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 21
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 12788
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 4217
% 0.23/1.42 # Non-unit clause-clause subsumptions : 47
% 0.23/1.42 # Unit Clause-clause subsumption calls : 2135
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 13
% 0.23/1.42 # BW rewrite match successes : 12
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 26060
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.052 s
% 0.23/1.42 # System time : 0.007 s
% 0.23/1.42 # Total time : 0.059 s
% 0.23/1.42 # Maximum resident set size: 5120 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------