TSTP Solution File: GEO474+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO474+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 04:05:57 EDT 2022
% Result : Theorem 1.01s 2.17s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 9 ( 2 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 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aRANKu_0,conjecture,
! [X1464,X1465] : s(num,i(s(fun(cart(cart(real,X1464),X1465),num),rank),s(cart(cart(real,X1464),X1465),i(s(fun(num,cart(cart(real,X1464),X1465)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aRANKu_0) ).
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(aRANKu_EQu_0,axiom,
! [X738,X733,X16] :
( s(num,i(s(fun(cart(cart(real,X738),X733),num),rank),s(cart(cart(real,X738),X733),X16))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
<=> s(cart(cart(real,X738),X733),X16) = s(cart(cart(real,X738),X733),i(s(fun(num,cart(cart(real,X738),X733)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aRANKu_EQu_0) ).
fof(c_0_3,negated_conjecture,
~ ! [X1464,X1465] : s(num,i(s(fun(cart(cart(real,X1464),X1465),num),rank),s(cart(cart(real,X1464),X1465),i(s(fun(num,cart(cart(real,X1464),X1465)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(assume_negation,[status(cth)],[aRANKu_0]) ).
fof(c_0_4,negated_conjecture,
s(num,i(s(fun(cart(cart(real,esk1_0),esk2_0),num),rank),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(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,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_6,plain,
! [X739,X740,X741,X739,X740,X741] :
( ( s(num,i(s(fun(cart(cart(real,X739),X740),num),rank),s(cart(cart(real,X739),X740),X741))) != s(num,i(s(fun(num,num),numeral),s(num,u_0)))
| s(cart(cart(real,X739),X740),X741) = s(cart(cart(real,X739),X740),i(s(fun(num,cart(cart(real,X739),X740)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
& ( s(cart(cart(real,X739),X740),X741) != s(cart(cart(real,X739),X740),i(s(fun(num,cart(cart(real,X739),X740)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(num,i(s(fun(cart(cart(real,X739),X740),num),rank),s(cart(cart(real,X739),X740),X741))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[aRANKu_EQu_0])])])]) ).
cnf(c_0_7,negated_conjecture,
s(num,i(s(fun(cart(cart(real,esk1_0),esk2_0),num),rank),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(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( s(num,i(s(fun(cart(cart(real,X1),X2),num),rank),s(cart(cart(real,X1),X2),X3))) = 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),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
s(num,i(s(fun(cart(cart(real,esk1_0),esk2_0),num),rank),s(cart(cart(real,esk1_0),esk2_0),i(s(fun(num,cart(cart(real,esk1_0),esk2_0)),mat),s(num,u_0))))) != s(num,u_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
( s(num,i(s(fun(cart(cart(real,X1),X2),num),rank),s(cart(cart(real,X1),X2),X3))) = s(num,u_0)
| s(cart(cart(real,X1),X2),X3) != s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,u_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8]),c_0_8]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO474+1 : TPTP v8.1.0. Released v7.0.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 10:03:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.01/2.17 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.01/2.17 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.01/2.17 # Preprocessing time : 0.405 s
% 1.01/2.17
% 1.01/2.17 # Proof found!
% 1.01/2.17 # SZS status Theorem
% 1.01/2.17 # SZS output start CNFRefutation
% See solution above
% 1.01/2.17 # Proof object total steps : 13
% 1.01/2.17 # Proof object clause steps : 6
% 1.01/2.17 # Proof object formula steps : 7
% 1.01/2.17 # Proof object conjectures : 6
% 1.01/2.17 # Proof object clause conjectures : 3
% 1.01/2.17 # Proof object formula conjectures : 3
% 1.01/2.17 # Proof object initial clauses used : 3
% 1.01/2.17 # Proof object initial formulas used : 3
% 1.01/2.17 # Proof object generating inferences : 1
% 1.01/2.17 # Proof object simplifying inferences : 4
% 1.01/2.17 # Training examples: 0 positive, 0 negative
% 1.01/2.17 # Parsed axioms : 3503
% 1.01/2.17 # Removed by relevancy pruning/SinE : 3402
% 1.01/2.17 # Initial clauses : 273
% 1.01/2.17 # Removed in clause preprocessing : 110
% 1.01/2.17 # Initial clauses in saturation : 163
% 1.01/2.17 # Processed clauses : 164
% 1.01/2.17 # ...of these trivial : 1
% 1.01/2.17 # ...subsumed : 1
% 1.01/2.17 # ...remaining for further processing : 162
% 1.01/2.17 # Other redundant clauses eliminated : 0
% 1.01/2.17 # Clauses deleted for lack of memory : 0
% 1.01/2.17 # Backward-subsumed : 0
% 1.01/2.17 # Backward-rewritten : 2
% 1.01/2.17 # Generated clauses : 5498
% 1.01/2.17 # ...of the previous two non-trivial : 5191
% 1.01/2.17 # Contextual simplify-reflections : 0
% 1.01/2.17 # Paramodulations : 5488
% 1.01/2.17 # Factorizations : 0
% 1.01/2.17 # Equation resolutions : 10
% 1.01/2.17 # Current number of processed clauses : 160
% 1.01/2.17 # Positive orientable unit clauses : 12
% 1.01/2.17 # Positive unorientable unit clauses: 0
% 1.01/2.17 # Negative unit clauses : 1
% 1.01/2.17 # Non-unit-clauses : 147
% 1.01/2.17 # Current number of unprocessed clauses: 5190
% 1.01/2.17 # ...number of literals in the above : 22162
% 1.01/2.17 # Current number of archived formulas : 0
% 1.01/2.17 # Current number of archived clauses : 2
% 1.01/2.17 # Clause-clause subsumption calls (NU) : 5255
% 1.01/2.17 # Rec. Clause-clause subsumption calls : 2645
% 1.01/2.17 # Non-unit clause-clause subsumptions : 1
% 1.01/2.17 # Unit Clause-clause subsumption calls : 5
% 1.01/2.17 # Rewrite failures with RHS unbound : 0
% 1.01/2.17 # BW rewrite match attempts : 70
% 1.01/2.17 # BW rewrite match successes : 2
% 1.01/2.17 # Condensation attempts : 0
% 1.01/2.17 # Condensation successes : 0
% 1.01/2.17 # Termbank termtop insertions : 1016788
% 1.01/2.17
% 1.01/2.17 # -------------------------------------------------
% 1.01/2.17 # User time : 0.798 s
% 1.01/2.17 # System time : 0.009 s
% 1.01/2.17 # Total time : 0.807 s
% 1.01/2.17 # Maximum resident set size: 22680 pages
% 1.01/24.17 eprover: CPU time limit exceeded, terminating
% 1.01/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.19 eprover: No such file or directory
% 1.01/24.20 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.20 eprover: No such file or directory
% 1.01/24.20 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.20 eprover: No such file or directory
% 1.01/24.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.21 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.23 eprover: No such file or directory
% 1.01/24.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.23 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.25 eprover: No such file or directory
%------------------------------------------------------------------------------