TSTP Solution File: GEO443+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 : Sat Jul 16 04:05:50 EDT 2022
% Result : Theorem 1.25s 50.42s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aDISTu_SYM,conjecture,
! [X1049,X1,X8] : s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X1))),s(cart(real,X1049),X8))))) = s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X8))),s(cart(real,X1049),X1))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aDISTu_SYM) ).
fof(adist,axiom,
! [X1012,X1,X8] : s(real,i(s(fun(prod(cart(real,X1012),cart(real,X1012)),real),distance),s(prod(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012))),i(s(fun(cart(real,X1012),fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012)))),c_),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))) = s(real,i(s(fun(cart(real,X1012),real),vectoru_norm),s(cart(real,X1012),i(s(fun(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),fun(cart(real,X1012),cart(real,X1012))),vectoru_sub),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',adist) ).
fof(aVECTORu_NEGu_SUB,axiom,
! [X733,X1,X8] : s(cart(real,X733),i(s(fun(cart(real,X733),cart(real,X733)),vectoru_neg),s(cart(real,X733),i(s(fun(cart(real,X733),cart(real,X733)),i(s(fun(cart(real,X733),fun(cart(real,X733),cart(real,X733))),vectoru_sub),s(cart(real,X733),X1))),s(cart(real,X733),X8))))) = s(cart(real,X733),i(s(fun(cart(real,X733),cart(real,X733)),i(s(fun(cart(real,X733),fun(cart(real,X733),cart(real,X733))),vectoru_sub),s(cart(real,X733),X8))),s(cart(real,X733),X1))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aVECTORu_NEGu_SUB) ).
fof(aNORMu_NEG,axiom,
! [X1017,X1] : s(real,i(s(fun(cart(real,X1017),real),vectoru_norm),s(cart(real,X1017),i(s(fun(cart(real,X1017),cart(real,X1017)),vectoru_neg),s(cart(real,X1017),X1))))) = s(real,i(s(fun(cart(real,X1017),real),vectoru_norm),s(cart(real,X1017),X1))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aNORMu_NEG) ).
fof(c_0_4,negated_conjecture,
~ ! [X1049,X1,X8] : s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X1))),s(cart(real,X1049),X8))))) = s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X8))),s(cart(real,X1049),X1))))),
inference(assume_negation,[status(cth)],[aDISTu_SYM]) ).
fof(c_0_5,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk3352_0),cart(real,esk3352_0)),real),distance),s(prod(cart(real,esk3352_0),cart(real,esk3352_0)),i(s(fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0))),i(s(fun(cart(real,esk3352_0),fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0)))),c_),s(cart(real,esk3352_0),esk3353_0))),s(cart(real,esk3352_0),esk3354_0))))) != s(real,i(s(fun(prod(cart(real,esk3352_0),cart(real,esk3352_0)),real),distance),s(prod(cart(real,esk3352_0),cart(real,esk3352_0)),i(s(fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0))),i(s(fun(cart(real,esk3352_0),fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0)))),c_),s(cart(real,esk3352_0),esk3354_0))),s(cart(real,esk3352_0),esk3353_0))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X1013,X1014,X1015] : s(real,i(s(fun(prod(cart(real,X1013),cart(real,X1013)),real),distance),s(prod(cart(real,X1013),cart(real,X1013)),i(s(fun(cart(real,X1013),prod(cart(real,X1013),cart(real,X1013))),i(s(fun(cart(real,X1013),fun(cart(real,X1013),prod(cart(real,X1013),cart(real,X1013)))),c_),s(cart(real,X1013),X1014))),s(cart(real,X1013),X1015))))) = s(real,i(s(fun(cart(real,X1013),real),vectoru_norm),s(cart(real,X1013),i(s(fun(cart(real,X1013),cart(real,X1013)),i(s(fun(cart(real,X1013),fun(cart(real,X1013),cart(real,X1013))),vectoru_sub),s(cart(real,X1013),X1014))),s(cart(real,X1013),X1015))))),
inference(variable_rename,[status(thm)],[adist]) ).
fof(c_0_7,plain,
! [X734,X735,X736] : s(cart(real,X734),i(s(fun(cart(real,X734),cart(real,X734)),vectoru_neg),s(cart(real,X734),i(s(fun(cart(real,X734),cart(real,X734)),i(s(fun(cart(real,X734),fun(cart(real,X734),cart(real,X734))),vectoru_sub),s(cart(real,X734),X735))),s(cart(real,X734),X736))))) = s(cart(real,X734),i(s(fun(cart(real,X734),cart(real,X734)),i(s(fun(cart(real,X734),fun(cart(real,X734),cart(real,X734))),vectoru_sub),s(cart(real,X734),X736))),s(cart(real,X734),X735))),
inference(variable_rename,[status(thm)],[aVECTORu_NEGu_SUB]) ).
fof(c_0_8,plain,
! [X1018,X1019] : s(real,i(s(fun(cart(real,X1018),real),vectoru_norm),s(cart(real,X1018),i(s(fun(cart(real,X1018),cart(real,X1018)),vectoru_neg),s(cart(real,X1018),X1019))))) = s(real,i(s(fun(cart(real,X1018),real),vectoru_norm),s(cart(real,X1018),X1019))),
inference(variable_rename,[status(thm)],[aNORMu_NEG]) ).
cnf(c_0_9,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk3352_0),cart(real,esk3352_0)),real),distance),s(prod(cart(real,esk3352_0),cart(real,esk3352_0)),i(s(fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0))),i(s(fun(cart(real,esk3352_0),fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0)))),c_),s(cart(real,esk3352_0),esk3353_0))),s(cart(real,esk3352_0),esk3354_0))))) != s(real,i(s(fun(prod(cart(real,esk3352_0),cart(real,esk3352_0)),real),distance),s(prod(cart(real,esk3352_0),cart(real,esk3352_0)),i(s(fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0))),i(s(fun(cart(real,esk3352_0),fun(cart(real,esk3352_0),prod(cart(real,esk3352_0),cart(real,esk3352_0)))),c_),s(cart(real,esk3352_0),esk3354_0))),s(cart(real,esk3352_0),esk3353_0))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),vectoru_neg),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),vectoru_neg),s(cart(real,X1),X2))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.14 % Command : run_ET %s %d
% 0.16/0.36 % Computer : n015.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Sat Jun 18 08:52:28 EDT 2022
% 0.16/0.36 % CPUTime :
% 1.06/24.07 eprover: CPU time limit exceeded, terminating
% 1.06/24.08 eprover: CPU time limit exceeded, terminating
% 1.06/24.08 eprover: CPU time limit exceeded, terminating
% 1.06/24.11 eprover: CPU time limit exceeded, terminating
% 1.22/47.09 eprover: CPU time limit exceeded, terminating
% 1.22/47.10 eprover: CPU time limit exceeded, terminating
% 1.22/47.11 eprover: CPU time limit exceeded, terminating
% 1.22/47.12 eprover: CPU time limit exceeded, terminating
% 1.25/50.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.25/50.42
% 1.25/50.42 # Failure: Resource limit exceeded (time)
% 1.25/50.42 # OLD status Res
% 1.25/50.42 # Preprocessing time : 2.278 s
% 1.25/50.42 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.25/50.42
% 1.25/50.42 # Failure: Resource limit exceeded (time)
% 1.25/50.42 # OLD status Res
% 1.25/50.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.25/50.42 # Preprocessing time : 0.318 s
% 1.25/50.42 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.25/50.42 # Preprocessing time : 2.192 s
% 1.25/50.42
% 1.25/50.42 # Proof found!
% 1.25/50.42 # SZS status Theorem
% 1.25/50.42 # SZS output start CNFRefutation
% See solution above
% 1.25/50.42 # Proof object total steps : 14
% 1.25/50.42 # Proof object clause steps : 5
% 1.25/50.42 # Proof object formula steps : 9
% 1.25/50.42 # Proof object conjectures : 5
% 1.25/50.42 # Proof object clause conjectures : 2
% 1.25/50.42 # Proof object formula conjectures : 3
% 1.25/50.42 # Proof object initial clauses used : 4
% 1.25/50.42 # Proof object initial formulas used : 4
% 1.25/50.42 # Proof object generating inferences : 0
% 1.25/50.42 # Proof object simplifying inferences : 5
% 1.25/50.42 # Training examples: 0 positive, 0 negative
% 1.25/50.42 # Parsed axioms : 2891
% 1.25/50.42 # Removed by relevancy pruning/SinE : 0
% 1.25/50.42 # Initial clauses : 8539
% 1.25/50.42 # Removed in clause preprocessing : 319
% 1.25/50.42 # Initial clauses in saturation : 8220
% 1.25/50.42 # Processed clauses : 122
% 1.25/50.42 # ...of these trivial : 8
% 1.25/50.42 # ...subsumed : 8
% 1.25/50.42 # ...remaining for further processing : 106
% 1.25/50.42 # Other redundant clauses eliminated : 0
% 1.25/50.42 # Clauses deleted for lack of memory : 0
% 1.25/50.42 # Backward-subsumed : 0
% 1.25/50.42 # Backward-rewritten : 3
% 1.25/50.42 # Generated clauses : 12092
% 1.25/50.42 # ...of the previous two non-trivial : 8263
% 1.25/50.42 # Contextual simplify-reflections : 0
% 1.25/50.42 # Paramodulations : 12075
% 1.25/50.42 # Factorizations : 0
% 1.25/50.42 # Equation resolutions : 17
% 1.25/50.42 # Current number of processed clauses : 103
% 1.25/50.42 # Positive orientable unit clauses : 49
% 1.25/50.42 # Positive unorientable unit clauses: 19
% 1.25/50.42 # Negative unit clauses : 4
% 1.25/50.42 # Non-unit-clauses : 31
% 1.25/50.42 # Current number of unprocessed clauses: 16318
% 1.25/50.42 # ...number of literals in the above : 59658
% 1.25/50.42 # Current number of archived formulas : 0
% 1.25/50.42 # Current number of archived clauses : 3
% 1.25/50.42 # Clause-clause subsumption calls (NU) : 56
% 1.25/50.42 # Rec. Clause-clause subsumption calls : 51
% 1.25/50.42 # Non-unit clause-clause subsumptions : 6
% 1.25/50.42 # Unit Clause-clause subsumption calls : 45
% 1.25/50.42 # Rewrite failures with RHS unbound : 1
% 1.25/50.42 # BW rewrite match attempts : 3336
% 1.25/50.42 # BW rewrite match successes : 30
% 1.25/50.42 # Condensation attempts : 0
% 1.25/50.42 # Condensation successes : 0
% 1.25/50.42 # Termbank termtop insertions : 5849787
% 1.25/50.42
% 1.25/50.42 # -------------------------------------------------
% 1.25/50.42 # User time : 2.358 s
% 1.25/50.42 # System time : 0.052 s
% 1.25/50.42 # Total time : 2.410 s
% 1.25/50.42 # Maximum resident set size: 71948 pages
% 1.26/70.12 eprover: CPU time limit exceeded, terminating
% 1.26/70.12 eprover: CPU time limit exceeded, terminating
% 1.26/70.13 eprover: CPU time limit exceeded, terminating
% 1.26/70.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.14 eprover: No such file or directory
% 1.26/70.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.14 eprover: No such file or directory
% 1.26/70.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.14 eprover: No such file or directory
% 1.26/70.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.14 eprover: No such file or directory
% 1.26/70.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.14 eprover: No such file or directory
% 1.26/70.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.15 eprover: No such file or directory
% 1.26/70.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.15 eprover: No such file or directory
% 1.26/70.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.15 eprover: No such file or directory
% 1.26/70.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.15 eprover: No such file or directory
% 1.26/70.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.15 eprover: No such file or directory
% 1.26/70.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.16 eprover: No such file or directory
% 1.26/70.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.16 eprover: No such file or directory
% 1.26/70.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.16 eprover: No such file or directory
% 1.26/70.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.16 eprover: No such file or directory
% 1.26/70.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.16 eprover: No such file or directory
% 1.26/70.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.16 eprover: No such file or directory
% 1.26/70.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.17 eprover: No such file or directory
% 1.26/70.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.17 eprover: No such file or directory
% 1.26/70.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.17 eprover: No such file or directory
% 1.26/70.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.17 eprover: No such file or directory
% 1.26/70.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.17 eprover: No such file or directory
% 1.26/70.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.17 eprover: No such file or directory
% 1.26/70.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.18 eprover: No such file or directory
% 1.26/70.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.18 eprover: No such file or directory
% 1.26/70.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.18 eprover: No such file or directory
% 1.26/70.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.26/70.18 eprover: No such file or directory
% 1.26/70.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.26/70.18 eprover: No such file or directory
%------------------------------------------------------------------------------