TSTP Solution File: GEO457+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO457+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 04:05:53 EDT 2022
% Result : Theorem 1.02s 10.20s
% Output : CNFRefutation 1.02s
% 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 : 7 ( 2 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aIMAGEu_LIFTu_DROPu_conjunct1,axiom,
! [X97] : s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),i(s(fun(fun(real,real),fun(fun(real,bool),fun(real,bool))),image),s(fun(real,real),i(s(fun(fun(real,cart(real,n10)),fun(real,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(real,cart(real,n10)),fun(real,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(real,cart(real,n10)),lift))))),s(fun(real,bool),X97))) = s(fun(real,bool),X97),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',aIMAGEu_LIFTu_DROPu_conjunct1) ).
fof(aIMAGEu_o,axiom,
! [X310,X311,X312,X11,X18,X97] : s(fun(X310,bool),i(s(fun(fun(X312,bool),fun(X310,bool)),i(s(fun(fun(X312,X310),fun(fun(X312,bool),fun(X310,bool))),image),s(fun(X312,X310),i(s(fun(fun(X312,X311),fun(X312,X310)),i(s(fun(fun(X311,X310),fun(fun(X312,X311),fun(X312,X310))),o),s(fun(X311,X310),X11))),s(fun(X312,X311),X18))))),s(fun(X312,bool),X97))) = s(fun(X310,bool),i(s(fun(fun(X311,bool),fun(X310,bool)),i(s(fun(fun(X311,X310),fun(fun(X311,bool),fun(X310,bool))),image),s(fun(X311,X310),X11))),s(fun(X311,bool),i(s(fun(fun(X312,bool),fun(X311,bool)),i(s(fun(fun(X312,X311),fun(fun(X312,bool),fun(X311,bool))),image),s(fun(X312,X311),X18))),s(fun(X312,bool),X97))))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aIMAGEu_o) ).
fof(aIMAGEu_DROPu_UNIV,conjecture,
s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),univ))) = s(fun(real,bool),univ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',aIMAGEu_DROPu_UNIV) ).
fof(aIMAGEu_LIFTu_UNIV,axiom,
s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),univ))) = s(fun(cart(real,n10),bool),univ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',aIMAGEu_LIFTu_UNIV) ).
fof(c_0_4,plain,
! [X98] : s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),i(s(fun(fun(real,real),fun(fun(real,bool),fun(real,bool))),image),s(fun(real,real),i(s(fun(fun(real,cart(real,n10)),fun(real,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(real,cart(real,n10)),fun(real,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(real,cart(real,n10)),lift))))),s(fun(real,bool),X98))) = s(fun(real,bool),X98),
inference(variable_rename,[status(thm)],[aIMAGEu_LIFTu_DROPu_conjunct1]) ).
fof(c_0_5,plain,
! [X313,X314,X315,X316,X317,X318] : s(fun(X313,bool),i(s(fun(fun(X315,bool),fun(X313,bool)),i(s(fun(fun(X315,X313),fun(fun(X315,bool),fun(X313,bool))),image),s(fun(X315,X313),i(s(fun(fun(X315,X314),fun(X315,X313)),i(s(fun(fun(X314,X313),fun(fun(X315,X314),fun(X315,X313))),o),s(fun(X314,X313),X316))),s(fun(X315,X314),X317))))),s(fun(X315,bool),X318))) = s(fun(X313,bool),i(s(fun(fun(X314,bool),fun(X313,bool)),i(s(fun(fun(X314,X313),fun(fun(X314,bool),fun(X313,bool))),image),s(fun(X314,X313),X316))),s(fun(X314,bool),i(s(fun(fun(X315,bool),fun(X314,bool)),i(s(fun(fun(X315,X314),fun(fun(X315,bool),fun(X314,bool))),image),s(fun(X315,X314),X317))),s(fun(X315,bool),X318))))),
inference(variable_rename,[status(thm)],[aIMAGEu_o]) ).
fof(c_0_6,negated_conjecture,
s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),univ))) != s(fun(real,bool),univ),
inference(assume_negation,[status(cth)],[aIMAGEu_DROPu_UNIV]) ).
cnf(c_0_7,plain,
s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),i(s(fun(fun(real,real),fun(fun(real,bool),fun(real,bool))),image),s(fun(real,real),i(s(fun(fun(real,cart(real,n10)),fun(real,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(real,cart(real,n10)),fun(real,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(real,cart(real,n10)),lift))))),s(fun(real,bool),X1))) = s(fun(real,bool),X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
s(fun(X1,bool),i(s(fun(fun(X2,bool),fun(X1,bool)),i(s(fun(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool))),image),s(fun(X2,X1),i(s(fun(fun(X2,X3),fun(X2,X1)),i(s(fun(fun(X3,X1),fun(fun(X2,X3),fun(X2,X1))),o),s(fun(X3,X1),X4))),s(fun(X2,X3),X5))))),s(fun(X2,bool),X6))) = s(fun(X1,bool),i(s(fun(fun(X3,bool),fun(X1,bool)),i(s(fun(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool))),image),s(fun(X3,X1),X4))),s(fun(X3,bool),i(s(fun(fun(X2,bool),fun(X3,bool)),i(s(fun(fun(X2,X3),fun(fun(X2,bool),fun(X3,bool))),image),s(fun(X2,X3),X5))),s(fun(X2,bool),X6))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),univ))) != s(fun(real,bool),univ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),X1))))) = s(fun(real,bool),X1),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),univ))) = s(fun(cart(real,n10),bool),univ),
inference(split_conjunct,[status(thm)],[aIMAGEu_LIFTu_UNIV]) ).
cnf(c_0_12,negated_conjecture,
s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),univ))) != s(fun(real,bool),univ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO457+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n013.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 20:47:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.02/10.20 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.02/10.20 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.02/10.20 # Preprocessing time : 0.487 s
% 1.02/10.20
% 1.02/10.20 # Proof found!
% 1.02/10.20 # SZS status Theorem
% 1.02/10.20 # SZS output start CNFRefutation
% See solution above
% 1.02/10.20 # Proof object total steps : 14
% 1.02/10.20 # Proof object clause steps : 6
% 1.02/10.20 # Proof object formula steps : 8
% 1.02/10.20 # Proof object conjectures : 4
% 1.02/10.20 # Proof object clause conjectures : 1
% 1.02/10.20 # Proof object formula conjectures : 3
% 1.02/10.20 # Proof object initial clauses used : 4
% 1.02/10.20 # Proof object initial formulas used : 4
% 1.02/10.20 # Proof object generating inferences : 1
% 1.02/10.20 # Proof object simplifying inferences : 2
% 1.02/10.20 # Training examples: 0 positive, 0 negative
% 1.02/10.20 # Parsed axioms : 3257
% 1.02/10.20 # Removed by relevancy pruning/SinE : 2756
% 1.02/10.20 # Initial clauses : 1226
% 1.02/10.20 # Removed in clause preprocessing : 158
% 1.02/10.20 # Initial clauses in saturation : 1068
% 1.02/10.20 # Processed clauses : 1299
% 1.02/10.20 # ...of these trivial : 40
% 1.02/10.20 # ...subsumed : 182
% 1.02/10.20 # ...remaining for further processing : 1077
% 1.02/10.20 # Other redundant clauses eliminated : 0
% 1.02/10.20 # Clauses deleted for lack of memory : 88019
% 1.02/10.20 # Backward-subsumed : 6
% 1.02/10.20 # Backward-rewritten : 51
% 1.02/10.20 # Generated clauses : 163975
% 1.02/10.20 # ...of the previous two non-trivial : 151332
% 1.02/10.20 # Contextual simplify-reflections : 7
% 1.02/10.20 # Paramodulations : 163904
% 1.02/10.20 # Factorizations : 4
% 1.02/10.20 # Equation resolutions : 67
% 1.02/10.20 # Current number of processed clauses : 1020
% 1.02/10.20 # Positive orientable unit clauses : 102
% 1.02/10.20 # Positive unorientable unit clauses: 41
% 1.02/10.20 # Negative unit clauses : 10
% 1.02/10.20 # Non-unit-clauses : 867
% 1.02/10.20 # Current number of unprocessed clauses: 50080
% 1.02/10.20 # ...number of literals in the above : 141204
% 1.02/10.20 # Current number of archived formulas : 0
% 1.02/10.20 # Current number of archived clauses : 57
% 1.02/10.20 # Clause-clause subsumption calls (NU) : 411142
% 1.02/10.20 # Rec. Clause-clause subsumption calls : 38335
% 1.02/10.20 # Non-unit clause-clause subsumptions : 152
% 1.02/10.20 # Unit Clause-clause subsumption calls : 1431
% 1.02/10.20 # Rewrite failures with RHS unbound : 123
% 1.02/10.20 # BW rewrite match attempts : 35521
% 1.02/10.20 # BW rewrite match successes : 298
% 1.02/10.20 # Condensation attempts : 0
% 1.02/10.20 # Condensation successes : 0
% 1.02/10.20 # Termbank termtop insertions : 27055617
% 1.02/10.20
% 1.02/10.20 # -------------------------------------------------
% 1.02/10.20 # User time : 8.253 s
% 1.02/10.20 # System time : 0.119 s
% 1.02/10.20 # Total time : 8.372 s
% 1.02/10.20 # Maximum resident set size: 149072 pages
% 1.02/24.13 eprover: CPU time limit exceeded, terminating
% 1.02/24.14 eprover: CPU time limit exceeded, terminating
% 1.02/24.14 eprover: CPU time limit exceeded, terminating
% 1.02/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.15 eprover: No such file or directory
% 1.02/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.16 eprover: No such file or directory
% 1.02/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.16 eprover: No such file or directory
% 1.02/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.16 eprover: No such file or directory
% 1.02/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.16 eprover: No such file or directory
% 1.02/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.16 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.17 eprover: No such file or directory
% 1.02/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.18 eprover: No such file or directory
% 1.02/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.18 eprover: No such file or directory
% 1.02/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.18 eprover: No such file or directory
% 1.02/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.18 eprover: No such file or directory
% 1.02/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.18 eprover: No such file or directory
% 1.02/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.18 eprover: No such file or directory
% 1.02/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.19 eprover: No such file or directory
% 1.02/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.19 eprover: No such file or directory
% 1.02/24.19 eprover: No such file or directory
% 1.02/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.19 eprover: No such file or directory
% 1.02/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.19 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.02/24.20 eprover: No such file or directory
% 1.02/24.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.02/24.21 eprover: No such file or directory
%------------------------------------------------------------------------------