TSTP Solution File: GEO450+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO450+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 04:05:51 EDT 2022
% Result : Theorem 0.94s 4.13s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 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 : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aMATRIXu_SUBu_LZERO,conjecture,
! [X733,X738,X16] : s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),i(s(fun(cart(cart(real,X733),X738),fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738))),matrixu_sub),s(cart(cart(real,X733),X738),i(s(fun(num,cart(cart(real,X733),X738)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,X733),X738),X16))) = s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),matrixu_neg),s(cart(cart(real,X733),X738),X16))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aMATRIXu_SUBu_LZERO) ).
fof(aMATRIXu_ADDu_LID,axiom,
! [X1263,X1264,X16] : s(cart(cart(real,X1263),X1264),i(s(fun(cart(cart(real,X1263),X1264),cart(cart(real,X1263),X1264)),i(s(fun(cart(cart(real,X1263),X1264),fun(cart(cart(real,X1263),X1264),cart(cart(real,X1263),X1264))),matrixu_add),s(cart(cart(real,X1263),X1264),i(s(fun(num,cart(cart(real,X1263),X1264)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,X1263),X1264),X16))) = s(cart(cart(real,X1263),X1264),X16),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aMATRIXu_ADDu_LID) ).
fof(aNUMERAL,axiom,
! [X84] : s(num,i(s(fun(num,num),numeral),s(num,X84))) = s(num,X84),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO010+0.ax',aNUMERAL) ).
fof(aMATRIXu_SUB,axiom,
! [X733,X738,X16,X20] : s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),i(s(fun(cart(cart(real,X733),X738),fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738))),matrixu_sub),s(cart(cart(real,X733),X738),X16))),s(cart(cart(real,X733),X738),X20))) = s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),i(s(fun(cart(cart(real,X733),X738),fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738))),matrixu_add),s(cart(cart(real,X733),X738),X16))),s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),matrixu_neg),s(cart(cart(real,X733),X738),X20))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aMATRIXu_SUB) ).
fof(c_0_4,negated_conjecture,
~ ! [X733,X738,X16] : s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),i(s(fun(cart(cart(real,X733),X738),fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738))),matrixu_sub),s(cart(cart(real,X733),X738),i(s(fun(num,cart(cart(real,X733),X738)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,X733),X738),X16))) = s(cart(cart(real,X733),X738),i(s(fun(cart(cart(real,X733),X738),cart(cart(real,X733),X738)),matrixu_neg),s(cart(cart(real,X733),X738),X16))),
inference(assume_negation,[status(cth)],[aMATRIXu_SUBu_LZERO]) ).
fof(c_0_5,plain,
! [X1265,X1266,X1267] : s(cart(cart(real,X1265),X1266),i(s(fun(cart(cart(real,X1265),X1266),cart(cart(real,X1265),X1266)),i(s(fun(cart(cart(real,X1265),X1266),fun(cart(cart(real,X1265),X1266),cart(cart(real,X1265),X1266))),matrixu_add),s(cart(cart(real,X1265),X1266),i(s(fun(num,cart(cart(real,X1265),X1266)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,X1265),X1266),X1267))) = s(cart(cart(real,X1265),X1266),X1267),
inference(variable_rename,[status(thm)],[aMATRIXu_ADDu_LID]) ).
fof(c_0_6,plain,
! [X85] : s(num,i(s(fun(num,num),numeral),s(num,X85))) = s(num,X85),
inference(variable_rename,[status(thm)],[aNUMERAL]) ).
fof(c_0_7,negated_conjecture,
s(cart(cart(real,esk1_0),esk2_0),i(s(fun(cart(cart(real,esk1_0),esk2_0),cart(cart(real,esk1_0),esk2_0)),i(s(fun(cart(cart(real,esk1_0),esk2_0),fun(cart(cart(real,esk1_0),esk2_0),cart(cart(real,esk1_0),esk2_0))),matrixu_sub),s(cart(cart(real,esk1_0),esk2_0),i(s(fun(num,cart(cart(real,esk1_0),esk2_0)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,esk1_0),esk2_0),esk3_0))) != s(cart(cart(real,esk1_0),esk2_0),i(s(fun(cart(cart(real,esk1_0),esk2_0),cart(cart(real,esk1_0),esk2_0)),matrixu_neg),s(cart(cart(real,esk1_0),esk2_0),esk3_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X739,X740,X741,X742] : s(cart(cart(real,X739),X740),i(s(fun(cart(cart(real,X739),X740),cart(cart(real,X739),X740)),i(s(fun(cart(cart(real,X739),X740),fun(cart(cart(real,X739),X740),cart(cart(real,X739),X740))),matrixu_sub),s(cart(cart(real,X739),X740),X741))),s(cart(cart(real,X739),X740),X742))) = s(cart(cart(real,X739),X740),i(s(fun(cart(cart(real,X739),X740),cart(cart(real,X739),X740)),i(s(fun(cart(cart(real,X739),X740),fun(cart(cart(real,X739),X740),cart(cart(real,X739),X740))),matrixu_add),s(cart(cart(real,X739),X740),X741))),s(cart(cart(real,X739),X740),i(s(fun(cart(cart(real,X739),X740),cart(cart(real,X739),X740)),matrixu_neg),s(cart(cart(real,X739),X740),X742))))),
inference(variable_rename,[status(thm)],[aMATRIXu_SUB]) ).
cnf(c_0_9,plain,
s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_add),s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,X1),X2),X3))) = s(cart(cart(real,X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
s(cart(cart(real,esk1_0),esk2_0),i(s(fun(cart(cart(real,esk1_0),esk2_0),cart(cart(real,esk1_0),esk2_0)),i(s(fun(cart(cart(real,esk1_0),esk2_0),fun(cart(cart(real,esk1_0),esk2_0),cart(cart(real,esk1_0),esk2_0))),matrixu_sub),s(cart(cart(real,esk1_0),esk2_0),i(s(fun(num,cart(cart(real,esk1_0),esk2_0)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,esk1_0),esk2_0),esk3_0))) != s(cart(cart(real,esk1_0),esk2_0),i(s(fun(cart(cart(real,esk1_0),esk2_0),cart(cart(real,esk1_0),esk2_0)),matrixu_neg),s(cart(cart(real,esk1_0),esk2_0),esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),s(cart(cart(real,X1),X2),X3))),s(cart(cart(real,X1),X2),X4))) = s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_add),s(cart(cart(real,X1),X2),X3))),s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),matrixu_neg),s(cart(cart(real,X1),X2),X4))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_add),s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,u_0))))),s(cart(cart(real,X1),X2),X3))) = s(cart(cart(real,X1),X2),X3),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO450+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 11:51:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.94/4.13 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.94/4.13 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.94/4.13 # Preprocessing time : 0.388 s
% 0.94/4.13
% 0.94/4.13 # Proof found!
% 0.94/4.13 # SZS status Theorem
% 0.94/4.13 # SZS output start CNFRefutation
% See solution above
% 0.94/4.13 # Proof object total steps : 15
% 0.94/4.13 # Proof object clause steps : 6
% 0.94/4.13 # Proof object formula steps : 9
% 0.94/4.13 # Proof object conjectures : 5
% 0.94/4.13 # Proof object clause conjectures : 2
% 0.94/4.13 # Proof object formula conjectures : 3
% 0.94/4.13 # Proof object initial clauses used : 4
% 0.94/4.13 # Proof object initial formulas used : 4
% 0.94/4.13 # Proof object generating inferences : 0
% 0.94/4.13 # Proof object simplifying inferences : 5
% 0.94/4.13 # Training examples: 0 positive, 0 negative
% 0.94/4.13 # Parsed axioms : 3135
% 0.94/4.13 # Removed by relevancy pruning/SinE : 3034
% 0.94/4.13 # Initial clauses : 200
% 0.94/4.13 # Removed in clause preprocessing : 15
% 0.94/4.13 # Initial clauses in saturation : 185
% 0.94/4.13 # Processed clauses : 186
% 0.94/4.13 # ...of these trivial : 6
% 0.94/4.13 # ...subsumed : 0
% 0.94/4.13 # ...remaining for further processing : 179
% 0.94/4.13 # Other redundant clauses eliminated : 0
% 0.94/4.13 # Clauses deleted for lack of memory : 0
% 0.94/4.13 # Backward-subsumed : 0
% 0.94/4.13 # Backward-rewritten : 7
% 0.94/4.13 # Generated clauses : 11464
% 0.94/4.13 # ...of the previous two non-trivial : 10013
% 0.94/4.13 # Contextual simplify-reflections : 0
% 0.94/4.13 # Paramodulations : 11455
% 0.94/4.13 # Factorizations : 0
% 0.94/4.13 # Equation resolutions : 9
% 0.94/4.13 # Current number of processed clauses : 172
% 0.94/4.13 # Positive orientable unit clauses : 35
% 0.94/4.13 # Positive unorientable unit clauses: 18
% 0.94/4.13 # Negative unit clauses : 0
% 0.94/4.13 # Non-unit-clauses : 119
% 0.94/4.13 # Current number of unprocessed clauses: 9929
% 0.94/4.13 # ...number of literals in the above : 49468
% 0.94/4.13 # Current number of archived formulas : 0
% 0.94/4.13 # Current number of archived clauses : 7
% 0.94/4.13 # Clause-clause subsumption calls (NU) : 11559
% 0.94/4.13 # Rec. Clause-clause subsumption calls : 501
% 0.94/4.13 # Non-unit clause-clause subsumptions : 0
% 0.94/4.13 # Unit Clause-clause subsumption calls : 21
% 0.94/4.13 # Rewrite failures with RHS unbound : 0
% 0.94/4.13 # BW rewrite match attempts : 1250
% 0.94/4.13 # BW rewrite match successes : 29
% 0.94/4.13 # Condensation attempts : 0
% 0.94/4.13 # Condensation successes : 0
% 0.94/4.13 # Termbank termtop insertions : 2925378
% 0.94/4.13
% 0.94/4.13 # -------------------------------------------------
% 0.94/4.13 # User time : 2.595 s
% 0.94/4.13 # System time : 0.024 s
% 0.94/4.13 # Total time : 2.619 s
% 0.94/4.13 # Maximum resident set size: 25244 pages
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
%------------------------------------------------------------------------------