%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 : Thu Jul 21 21:25:27 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 5 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kelley_p_147e,axiom,
! [X5,X1,X6] :
( ( an_open_function_from_onto(X5,X1,X6)
& a_continuous_function_from_onto(X5,X1,X6)
& a_locally_compact_top_space(X1) )
=> a_locally_compact_top_space(X6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',kelley_p_147e) ).
fof(kelley_3_2,axiom,
! [X1,X2,X3,X4] : an_open_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X4,X3),apply(X4,X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',kelley_3_2) ).
fof(kelley_p90a,axiom,
! [X1,X2,X3] : a_continuous_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X2,X3),apply(X2,X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',kelley_p90a) ).
fof(kelley_5_19a,conjecture,
! [X4,X3] :
( a_locally_compact_top_space(the_product_top_space_over(X4,X3))
=> ! [X1] : a_locally_compact_top_space(apply(X4,X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',kelley_5_19a) ).
fof(c_0_4,plain,
! [X7,X8,X9] :
( ~ an_open_function_from_onto(X7,X8,X9)
| ~ a_continuous_function_from_onto(X7,X8,X9)
| ~ a_locally_compact_top_space(X8)
| a_locally_compact_top_space(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kelley_p_147e])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] : an_open_function_from_onto(the_projection_function(X5,X6,X7),the_product_top_space_over(X8,X7),apply(X8,X5)),
inference(variable_rename,[status(thm)],[kelley_3_2]) ).
cnf(c_0_6,plain,
( a_locally_compact_top_space(X1)
| ~ a_locally_compact_top_space(X2)
| ~ a_continuous_function_from_onto(X3,X2,X1)
| ~ an_open_function_from_onto(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
an_open_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X4,X3),apply(X4,X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X4,X5,X6] : a_continuous_function_from_onto(the_projection_function(X4,X5,X6),the_product_top_space_over(X5,X6),apply(X5,X4)),
inference(variable_rename,[status(thm)],[kelley_p90a]) ).
fof(c_0_9,negated_conjecture,
~ ! [X4,X3] :
( a_locally_compact_top_space(the_product_top_space_over(X4,X3))
=> ! [X1] : a_locally_compact_top_space(apply(X4,X1)) ),
inference(assume_negation,[status(cth)],[kelley_5_19a]) ).
cnf(c_0_10,plain,
( a_locally_compact_top_space(apply(X1,X2))
| ~ a_locally_compact_top_space(the_product_top_space_over(X1,X3))
| ~ a_continuous_function_from_onto(the_projection_function(X2,X4,X3),the_product_top_space_over(X1,X3),apply(X1,X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
a_continuous_function_from_onto(the_projection_function(X1,X2,X3),the_product_top_space_over(X2,X3),apply(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,negated_conjecture,
( a_locally_compact_top_space(the_product_top_space_over(esk1_0,esk2_0))
& ~ a_locally_compact_top_space(apply(esk1_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)],[c_0_9])])])])]) ).
cnf(c_0_13,plain,
( a_locally_compact_top_space(apply(X1,X2))
| ~ a_locally_compact_top_space(the_product_top_space_over(X1,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
a_locally_compact_top_space(the_product_top_space_over(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ a_locally_compact_top_space(apply(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
a_locally_compact_top_space(apply(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : TOP021+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n017.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 : Sun May 29 04:02:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.014 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 18
% 0.23/1.40 # Proof object clause steps : 9
% 0.23/1.40 # Proof object formula steps : 9
% 0.23/1.40 # Proof object conjectures : 7
% 0.23/1.40 # Proof object clause conjectures : 4
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 5
% 0.23/1.40 # Proof object initial formulas used : 4
% 0.23/1.40 # Proof object generating inferences : 3
% 0.23/1.40 # Proof object simplifying inferences : 2
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 4
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 5
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 5
% 0.23/1.40 # Processed clauses : 8
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 0
% 0.23/1.40 # ...remaining for further processing : 8
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 1
% 0.23/1.40 # Backward-rewritten : 1
% 0.23/1.40 # Generated clauses : 3
% 0.23/1.40 # ...of the previous two non-trivial : 3
% 0.23/1.40 # Contextual simplify-reflections : 0
% 0.23/1.40 # Paramodulations : 3
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 6
% 0.23/1.40 # Positive orientable unit clauses : 4
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 0
% 0.23/1.40 # Non-unit-clauses : 2
% 0.23/1.40 # Current number of unprocessed clauses: 0
% 0.23/1.40 # ...number of literals in the above : 0
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 2
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 1
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 1
% 0.23/1.40 # Non-unit clause-clause subsumptions : 1
% 0.23/1.40 # Unit Clause-clause subsumption calls : 0
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 1
% 0.23/1.40 # BW rewrite match successes : 1
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 385
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.013 s
% 0.23/1.40 # System time : 0.002 s
% 0.23/1.40 # Total time : 0.015 s
% 0.23/1.40 # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------