TSTP Solution File: GEO445+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO445+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 0.89s 3.08s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 11 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 37 ( 3 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aVECTORu_EQu_LDOT,axiom,
! [X1163,X8,X9] :
( ! [X1] : s(real,i(s(fun(cart(real,X1163),real),i(s(fun(cart(real,X1163),fun(cart(real,X1163),real)),dot),s(cart(real,X1163),X1))),s(cart(real,X1163),X8))) = s(real,i(s(fun(cart(real,X1163),real),i(s(fun(cart(real,X1163),fun(cart(real,X1163),real)),dot),s(cart(real,X1163),X1))),s(cart(real,X1163),X9)))
<=> s(cart(real,X1163),X8) = s(cart(real,X1163),X9) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aVECTORu_EQu_LDOT) ).
fof(aDOTu_SYM,axiom,
! [X996,X1,X8] : s(real,i(s(fun(cart(real,X996),real),i(s(fun(cart(real,X996),fun(cart(real,X996),real)),dot),s(cart(real,X996),X1))),s(cart(real,X996),X8))) = s(real,i(s(fun(cart(real,X996),real),i(s(fun(cart(real,X996),fun(cart(real,X996),real)),dot),s(cart(real,X996),X8))),s(cart(real,X996),X1))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aDOTu_SYM) ).
fof(aVECTORu_EQu_RDOT,conjecture,
! [X1164,X1,X8] :
( ! [X9] : s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),X1))),s(cart(real,X1164),X9))) = s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),X8))),s(cart(real,X1164),X9)))
<=> s(cart(real,X1164),X1) = s(cart(real,X1164),X8) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aVECTORu_EQu_RDOT) ).
fof(c_0_3,plain,
! [X1164,X1165,X1166,X1164,X1165,X1166,X1168] :
( ( s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),esk37_3(X1164,X1165,X1166)))),s(cart(real,X1164),X1165))) != s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),esk37_3(X1164,X1165,X1166)))),s(cart(real,X1164),X1166)))
| s(cart(real,X1164),X1165) = s(cart(real,X1164),X1166) )
& ( s(cart(real,X1164),X1165) != s(cart(real,X1164),X1166)
| s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),X1168))),s(cart(real,X1164),X1165))) = s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),X1168))),s(cart(real,X1164),X1166))) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[aVECTORu_EQu_LDOT])])])])])]) ).
fof(c_0_4,plain,
! [X997,X998,X999] : s(real,i(s(fun(cart(real,X997),real),i(s(fun(cart(real,X997),fun(cart(real,X997),real)),dot),s(cart(real,X997),X998))),s(cart(real,X997),X999))) = s(real,i(s(fun(cart(real,X997),real),i(s(fun(cart(real,X997),fun(cart(real,X997),real)),dot),s(cart(real,X997),X999))),s(cart(real,X997),X998))),
inference(variable_rename,[status(thm)],[aDOTu_SYM]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1164,X1,X8] :
( ! [X9] : s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),X1))),s(cart(real,X1164),X9))) = s(real,i(s(fun(cart(real,X1164),real),i(s(fun(cart(real,X1164),fun(cart(real,X1164),real)),dot),s(cart(real,X1164),X8))),s(cart(real,X1164),X9)))
<=> s(cart(real,X1164),X1) = s(cart(real,X1164),X8) ),
inference(assume_negation,[status(cth)],[aVECTORu_EQu_RDOT]) ).
cnf(c_0_6,plain,
( s(cart(real,X1),X2) = s(cart(real,X1),X3)
| s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),esk37_3(X1,X2,X3)))),s(cart(real,X1),X2))) != s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),esk37_3(X1,X2,X3)))),s(cart(real,X1),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X3))) = s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X3))),s(cart(real,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
! [X1169] :
( ( s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk4_0))) != s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),esk4_0)))
| s(cart(real,esk1_0),esk2_0) != s(cart(real,esk1_0),esk3_0) )
& ( s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),X1169))) = s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),X1169)))
| s(cart(real,esk1_0),esk2_0) = s(cart(real,esk1_0),esk3_0) ) ),
inference(shift_quantors,[status(thm)],[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_5])])])])])]) ).
cnf(c_0_9,plain,
( s(cart(real,X1),X2) = s(cart(real,X1),X3)
| s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),esk37_3(X1,X2,X3)))) != s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X3))),s(cart(real,X1),esk37_3(X1,X2,X3)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( s(cart(real,esk1_0),esk2_0) = s(cart(real,esk1_0),esk3_0)
| s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),X1))) = s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( s(cart(real,esk1_0),esk2_0) != s(cart(real,esk1_0),esk3_0)
| s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk4_0))) != s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),esk4_0))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( s(cart(real,esk1_0),esk2_0) = s(cart(real,esk1_0),esk3_0)
| s(cart(real,esk1_0),X1) = s(cart(real,esk1_0),esk2_0)
| s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),X1))),s(cart(real,esk1_0),esk37_3(esk1_0,X1,esk2_0)))) != s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),esk37_3(esk1_0,X1,esk2_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk4_0))),s(cart(real,esk1_0),esk2_0))) != s(real,i(s(fun(cart(real,esk1_0),real),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),real)),dot),s(cart(real,esk1_0),esk4_0))),s(cart(real,esk1_0),esk3_0)))
| s(cart(real,esk1_0),esk2_0) != s(cart(real,esk1_0),esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7]),c_0_7]) ).
cnf(c_0_14,negated_conjecture,
s(cart(real,esk1_0),esk2_0) = s(cart(real,esk1_0),esk3_0),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO445+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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 : Sat Jun 18 02:23:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/3.08 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.89/3.08 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.89/3.08 # Preprocessing time : 0.346 s
% 0.89/3.08
% 0.89/3.08 # Proof found!
% 0.89/3.08 # SZS status Theorem
% 0.89/3.08 # SZS output start CNFRefutation
% See solution above
% 0.89/3.08 # Proof object total steps : 16
% 0.89/3.08 # Proof object clause steps : 9
% 0.89/3.08 # Proof object formula steps : 7
% 0.89/3.08 # Proof object conjectures : 9
% 0.89/3.08 # Proof object clause conjectures : 6
% 0.89/3.08 # Proof object formula conjectures : 3
% 0.89/3.08 # Proof object initial clauses used : 4
% 0.89/3.08 # Proof object initial formulas used : 3
% 0.89/3.08 # Proof object generating inferences : 2
% 0.89/3.08 # Proof object simplifying inferences : 7
% 0.89/3.08 # Training examples: 0 positive, 0 negative
% 0.89/3.08 # Parsed axioms : 3003
% 0.89/3.08 # Removed by relevancy pruning/SinE : 2902
% 0.89/3.08 # Initial clauses : 269
% 0.89/3.08 # Removed in clause preprocessing : 123
% 0.89/3.08 # Initial clauses in saturation : 146
% 0.89/3.08 # Processed clauses : 304
% 0.89/3.08 # ...of these trivial : 12
% 0.89/3.08 # ...subsumed : 97
% 0.89/3.08 # ...remaining for further processing : 195
% 0.89/3.08 # Other redundant clauses eliminated : 0
% 0.89/3.08 # Clauses deleted for lack of memory : 0
% 0.89/3.08 # Backward-subsumed : 5
% 0.89/3.08 # Backward-rewritten : 24
% 0.89/3.08 # Generated clauses : 8589
% 0.89/3.08 # ...of the previous two non-trivial : 8018
% 0.89/3.08 # Contextual simplify-reflections : 22
% 0.89/3.08 # Paramodulations : 8577
% 0.89/3.08 # Factorizations : 0
% 0.89/3.08 # Equation resolutions : 12
% 0.89/3.08 # Current number of processed clauses : 166
% 0.89/3.08 # Positive orientable unit clauses : 24
% 0.89/3.08 # Positive unorientable unit clauses: 2
% 0.89/3.08 # Negative unit clauses : 2
% 0.89/3.08 # Non-unit-clauses : 138
% 0.89/3.08 # Current number of unprocessed clauses: 6482
% 0.89/3.08 # ...number of literals in the above : 25418
% 0.89/3.08 # Current number of archived formulas : 0
% 0.89/3.08 # Current number of archived clauses : 29
% 0.89/3.08 # Clause-clause subsumption calls (NU) : 5238
% 0.89/3.08 # Rec. Clause-clause subsumption calls : 3245
% 0.89/3.08 # Non-unit clause-clause subsumptions : 107
% 0.89/3.08 # Unit Clause-clause subsumption calls : 8
% 0.89/3.08 # Rewrite failures with RHS unbound : 0
% 0.89/3.08 # BW rewrite match attempts : 991
% 0.89/3.08 # BW rewrite match successes : 11
% 0.89/3.08 # Condensation attempts : 0
% 0.89/3.08 # Condensation successes : 0
% 0.89/3.08 # Termbank termtop insertions : 1130261
% 0.89/3.08
% 0.89/3.08 # -------------------------------------------------
% 0.89/3.08 # User time : 1.170 s
% 0.89/3.08 # System time : 0.015 s
% 0.89/3.08 # Total time : 1.185 s
% 0.89/3.08 # Maximum resident set size: 21808 pages
% 0.89/24.08 eprover: CPU time limit exceeded, terminating
% 0.89/24.08 eprover: CPU time limit exceeded, terminating
% 0.89/24.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.09 eprover: No such file or directory
% 0.89/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.10 eprover: No such file or directory
% 0.89/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.10 eprover: No such file or directory
% 0.89/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.10 eprover: No such file or directory
% 0.89/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.11 eprover: No such file or directory
% 0.89/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.11 eprover: No such file or directory
% 0.89/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.11 eprover: No such file or directory
% 0.89/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.11 eprover: No such file or directory
% 0.89/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.12 eprover: No such file or directory
% 0.89/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.12 eprover: No such file or directory
% 0.89/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.12 eprover: No such file or directory
% 0.89/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.12 eprover: No such file or directory
% 0.89/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.13 eprover: No such file or directory
% 0.89/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.13 eprover: No such file or directory
% 0.89/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.13 eprover: No such file or directory
% 0.89/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.14 eprover: No such file or directory
% 0.89/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.14 eprover: No such file or directory
% 0.89/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.14 eprover: No such file or directory
% 0.89/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.15 eprover: No such file or directory
% 0.89/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.15 eprover: No such file or directory
% 0.89/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.89/24.15 eprover: No such file or directory
% 0.89/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.89/24.15 eprover: No such file or directory
%------------------------------------------------------------------------------