TSTP Solution File: GEO452+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO452+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 04:05:52 EDT 2022
% Result : Theorem 0.95s 3.14s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 2 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aMATRIXu_VECTORu_MUL,conjecture,
! [X733,X738,X11] :
( p(s(bool,i(s(fun(fun(cart(real,X738),cart(real,X733)),bool),linear),s(fun(cart(real,X738),cart(real,X733)),X11))))
=> ! [X1] : s(cart(real,X733),i(s(fun(cart(real,X738),cart(real,X733)),X11),s(cart(real,X738),X1))) = s(cart(real,X733),i(s(fun(cart(real,X738),cart(real,X733)),i(s(fun(cart(cart(real,X738),X733),fun(cart(real,X738),cart(real,X733))),matrixu_vectoru_mul),s(cart(cart(real,X738),X733),i(s(fun(fun(cart(real,X738),cart(real,X733)),cart(cart(real,X738),X733)),matrix),s(fun(cart(real,X738),cart(real,X733)),X11))))),s(cart(real,X738),X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aMATRIXu_VECTORu_MUL) ).
fof(aMATRIXu_WORKS,axiom,
! [X733,X738,X11] :
( p(s(bool,i(s(fun(fun(cart(real,X738),cart(real,X733)),bool),linear),s(fun(cart(real,X738),cart(real,X733)),X11))))
=> ! [X1] : s(cart(real,X733),i(s(fun(cart(real,X738),cart(real,X733)),i(s(fun(cart(cart(real,X738),X733),fun(cart(real,X738),cart(real,X733))),matrixu_vectoru_mul),s(cart(cart(real,X738),X733),i(s(fun(fun(cart(real,X738),cart(real,X733)),cart(cart(real,X738),X733)),matrix),s(fun(cart(real,X738),cart(real,X733)),X11))))),s(cart(real,X738),X1))) = s(cart(real,X733),i(s(fun(cart(real,X738),cart(real,X733)),X11),s(cart(real,X738),X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aMATRIXu_WORKS) ).
fof(c_0_2,negated_conjecture,
~ ! [X733,X738,X11] :
( p(s(bool,i(s(fun(fun(cart(real,X738),cart(real,X733)),bool),linear),s(fun(cart(real,X738),cart(real,X733)),X11))))
=> ! [X1] : s(cart(real,X733),i(s(fun(cart(real,X738),cart(real,X733)),X11),s(cart(real,X738),X1))) = s(cart(real,X733),i(s(fun(cart(real,X738),cart(real,X733)),i(s(fun(cart(cart(real,X738),X733),fun(cart(real,X738),cart(real,X733))),matrixu_vectoru_mul),s(cart(cart(real,X738),X733),i(s(fun(fun(cart(real,X738),cart(real,X733)),cart(cart(real,X738),X733)),matrix),s(fun(cart(real,X738),cart(real,X733)),X11))))),s(cart(real,X738),X1))) ),
inference(assume_negation,[status(cth)],[aMATRIXu_VECTORu_MUL]) ).
fof(c_0_3,plain,
! [X739,X740,X741,X742] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X740),cart(real,X739)),bool),linear),s(fun(cart(real,X740),cart(real,X739)),X741))))
| s(cart(real,X739),i(s(fun(cart(real,X740),cart(real,X739)),i(s(fun(cart(cart(real,X740),X739),fun(cart(real,X740),cart(real,X739))),matrixu_vectoru_mul),s(cart(cart(real,X740),X739),i(s(fun(fun(cart(real,X740),cart(real,X739)),cart(cart(real,X740),X739)),matrix),s(fun(cart(real,X740),cart(real,X739)),X741))))),s(cart(real,X740),X742))) = s(cart(real,X739),i(s(fun(cart(real,X740),cart(real,X739)),X741),s(cart(real,X740),X742))) ),
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)],[aMATRIXu_WORKS])])])])]) ).
fof(c_0_4,negated_conjecture,
( p(s(bool,i(s(fun(fun(cart(real,esk2_0),cart(real,esk1_0)),bool),linear),s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0))))
& s(cart(real,esk1_0),i(s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0),s(cart(real,esk2_0),esk4_0))) != s(cart(real,esk1_0),i(s(fun(cart(real,esk2_0),cart(real,esk1_0)),i(s(fun(cart(cart(real,esk2_0),esk1_0),fun(cart(real,esk2_0),cart(real,esk1_0))),matrixu_vectoru_mul),s(cart(cart(real,esk2_0),esk1_0),i(s(fun(fun(cart(real,esk2_0),cart(real,esk1_0)),cart(cart(real,esk2_0),esk1_0)),matrix),s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0))))),s(cart(real,esk2_0),esk4_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_2])])])])]) ).
cnf(c_0_5,plain,
( s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),i(s(fun(cart(cart(real,X2),X1),fun(cart(real,X2),cart(real,X1))),matrixu_vectoru_mul),s(cart(cart(real,X2),X1),i(s(fun(fun(cart(real,X2),cart(real,X1)),cart(cart(real,X2),X1)),matrix),s(fun(cart(real,X2),cart(real,X1)),X3))))),s(cart(real,X2),X4))) = s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),X3),s(cart(real,X2),X4)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X2),cart(real,X1)),bool),linear),s(fun(cart(real,X2),cart(real,X1)),X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
p(s(bool,i(s(fun(fun(cart(real,esk2_0),cart(real,esk1_0)),bool),linear),s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0)))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
s(cart(real,esk1_0),i(s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0),s(cart(real,esk2_0),esk4_0))) != s(cart(real,esk1_0),i(s(fun(cart(real,esk2_0),cart(real,esk1_0)),i(s(fun(cart(cart(real,esk2_0),esk1_0),fun(cart(real,esk2_0),cart(real,esk1_0))),matrixu_vectoru_mul),s(cart(cart(real,esk2_0),esk1_0),i(s(fun(fun(cart(real,esk2_0),cart(real,esk1_0)),cart(cart(real,esk2_0),esk1_0)),matrix),s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0))))),s(cart(real,esk2_0),esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
s(cart(real,esk1_0),i(s(fun(cart(real,esk2_0),cart(real,esk1_0)),i(s(fun(cart(cart(real,esk2_0),esk1_0),fun(cart(real,esk2_0),cart(real,esk1_0))),matrixu_vectoru_mul),s(cart(cart(real,esk2_0),esk1_0),i(s(fun(fun(cart(real,esk2_0),cart(real,esk1_0)),cart(cart(real,esk2_0),esk1_0)),matrix),s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0))))),s(cart(real,esk2_0),X1))) = s(cart(real,esk1_0),i(s(fun(cart(real,esk2_0),cart(real,esk1_0)),esk3_0),s(cart(real,esk2_0),X1))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO452+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 15:40:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.95/3.14 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.95/3.14 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.95/3.14 # Preprocessing time : 0.371 s
% 0.95/3.14
% 0.95/3.14 # Proof found!
% 0.95/3.14 # SZS status Theorem
% 0.95/3.14 # SZS output start CNFRefutation
% See solution above
% 0.95/3.14 # Proof object total steps : 10
% 0.95/3.14 # Proof object clause steps : 5
% 0.95/3.14 # Proof object formula steps : 5
% 0.95/3.14 # Proof object conjectures : 7
% 0.95/3.14 # Proof object clause conjectures : 4
% 0.95/3.14 # Proof object formula conjectures : 3
% 0.95/3.14 # Proof object initial clauses used : 3
% 0.95/3.14 # Proof object initial formulas used : 2
% 0.95/3.14 # Proof object generating inferences : 1
% 0.95/3.14 # Proof object simplifying inferences : 2
% 0.95/3.14 # Training examples: 0 positive, 0 negative
% 0.95/3.14 # Parsed axioms : 3177
% 0.95/3.14 # Removed by relevancy pruning/SinE : 3076
% 0.95/3.14 # Initial clauses : 343
% 0.95/3.14 # Removed in clause preprocessing : 141
% 0.95/3.14 # Initial clauses in saturation : 202
% 0.95/3.14 # Processed clauses : 203
% 0.95/3.14 # ...of these trivial : 0
% 0.95/3.14 # ...subsumed : 0
% 0.95/3.14 # ...remaining for further processing : 203
% 0.95/3.14 # Other redundant clauses eliminated : 0
% 0.95/3.14 # Clauses deleted for lack of memory : 0
% 0.95/3.14 # Backward-subsumed : 0
% 0.95/3.14 # Backward-rewritten : 1
% 0.95/3.14 # Generated clauses : 9248
% 0.95/3.14 # ...of the previous two non-trivial : 8733
% 0.95/3.14 # Contextual simplify-reflections : 0
% 0.95/3.14 # Paramodulations : 9239
% 0.95/3.14 # Factorizations : 2
% 0.95/3.14 # Equation resolutions : 7
% 0.95/3.14 # Current number of processed clauses : 202
% 0.95/3.14 # Positive orientable unit clauses : 11
% 0.95/3.14 # Positive unorientable unit clauses: 2
% 0.95/3.14 # Negative unit clauses : 0
% 0.95/3.14 # Non-unit-clauses : 189
% 0.95/3.14 # Current number of unprocessed clauses: 8732
% 0.95/3.14 # ...number of literals in the above : 41659
% 0.95/3.14 # Current number of archived formulas : 0
% 0.95/3.14 # Current number of archived clauses : 1
% 0.95/3.14 # Clause-clause subsumption calls (NU) : 16830
% 0.95/3.14 # Rec. Clause-clause subsumption calls : 5410
% 0.95/3.14 # Non-unit clause-clause subsumptions : 0
% 0.95/3.14 # Unit Clause-clause subsumption calls : 3
% 0.95/3.14 # Rewrite failures with RHS unbound : 0
% 0.95/3.14 # BW rewrite match attempts : 243
% 0.95/3.14 # BW rewrite match successes : 1
% 0.95/3.14 # Condensation attempts : 0
% 0.95/3.14 # Condensation successes : 0
% 0.95/3.14 # Termbank termtop insertions : 1336341
% 0.95/3.14
% 0.95/3.14 # -------------------------------------------------
% 0.95/3.14 # User time : 1.410 s
% 0.95/3.14 # System time : 0.021 s
% 0.95/3.14 # Total time : 1.431 s
% 0.95/3.14 # Maximum resident set size: 24792 pages
%------------------------------------------------------------------------------