%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO482+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 04:05:59 EDT 2022
% Result : Theorem 1.09s 4.28s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 15 ( 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 : 30 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aINVERSEu_SWAP,conjecture,
! [X1554,X16,X20] : s(fun(X1554,X1554),i(s(fun(fun(X1554,X1554),fun(X1554,X1554)),inverse),s(fun(X1554,X1554),i(s(fun(prod(X1554,X1554),fun(X1554,X1554)),swap),s(prod(X1554,X1554),i(s(fun(X1554,prod(X1554,X1554)),i(s(fun(X1554,fun(X1554,prod(X1554,X1554))),c_),s(X1554,X16))),s(X1554,X20))))))) = s(fun(X1554,X1554),i(s(fun(prod(X1554,X1554),fun(X1554,X1554)),swap),s(prod(X1554,X1554),i(s(fun(X1554,prod(X1554,X1554)),i(s(fun(X1554,fun(X1554,prod(X1554,X1554))),c_),s(X1554,X16))),s(X1554,X20))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aINVERSEu_SWAP) ).
fof(aINVERSEu_UNIQUEu_o,axiom,
! [X1547,X1548,X11,X18] :
( ( s(fun(X1547,X1547),i(s(fun(fun(X1547,X1548),fun(X1547,X1547)),i(s(fun(fun(X1548,X1547),fun(fun(X1547,X1548),fun(X1547,X1547))),o),s(fun(X1548,X1547),X11))),s(fun(X1547,X1548),X18))) = s(fun(X1547,X1547),i1)
& s(fun(X1548,X1548),i(s(fun(fun(X1548,X1547),fun(X1548,X1548)),i(s(fun(fun(X1547,X1548),fun(fun(X1548,X1547),fun(X1548,X1548))),o),s(fun(X1547,X1548),X18))),s(fun(X1548,X1547),X11))) = s(fun(X1548,X1548),i1) )
=> s(fun(X1547,X1548),i(s(fun(fun(X1548,X1547),fun(X1547,X1548)),inverse),s(fun(X1548,X1547),X11))) = s(fun(X1547,X1548),X18) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aINVERSEu_UNIQUEu_o) ).
fof(aSWAPu_IDEMPOTENT,axiom,
! [X1553,X16,X20] : s(fun(X1553,X1553),i(s(fun(fun(X1553,X1553),fun(X1553,X1553)),i(s(fun(fun(X1553,X1553),fun(fun(X1553,X1553),fun(X1553,X1553))),o),s(fun(X1553,X1553),i(s(fun(prod(X1553,X1553),fun(X1553,X1553)),swap),s(prod(X1553,X1553),i(s(fun(X1553,prod(X1553,X1553)),i(s(fun(X1553,fun(X1553,prod(X1553,X1553))),c_),s(X1553,X16))),s(X1553,X20))))))),s(fun(X1553,X1553),i(s(fun(prod(X1553,X1553),fun(X1553,X1553)),swap),s(prod(X1553,X1553),i(s(fun(X1553,prod(X1553,X1553)),i(s(fun(X1553,fun(X1553,prod(X1553,X1553))),c_),s(X1553,X16))),s(X1553,X20))))))) = s(fun(X1553,X1553),i1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSWAPu_IDEMPOTENT) ).
fof(c_0_3,negated_conjecture,
~ ! [X1554,X16,X20] : s(fun(X1554,X1554),i(s(fun(fun(X1554,X1554),fun(X1554,X1554)),inverse),s(fun(X1554,X1554),i(s(fun(prod(X1554,X1554),fun(X1554,X1554)),swap),s(prod(X1554,X1554),i(s(fun(X1554,prod(X1554,X1554)),i(s(fun(X1554,fun(X1554,prod(X1554,X1554))),c_),s(X1554,X16))),s(X1554,X20))))))) = s(fun(X1554,X1554),i(s(fun(prod(X1554,X1554),fun(X1554,X1554)),swap),s(prod(X1554,X1554),i(s(fun(X1554,prod(X1554,X1554)),i(s(fun(X1554,fun(X1554,prod(X1554,X1554))),c_),s(X1554,X16))),s(X1554,X20))))),
inference(assume_negation,[status(cth)],[aINVERSEu_SWAP]) ).
fof(c_0_4,plain,
! [X1549,X1550,X1551,X1552] :
( s(fun(X1549,X1549),i(s(fun(fun(X1549,X1550),fun(X1549,X1549)),i(s(fun(fun(X1550,X1549),fun(fun(X1549,X1550),fun(X1549,X1549))),o),s(fun(X1550,X1549),X1551))),s(fun(X1549,X1550),X1552))) != s(fun(X1549,X1549),i1)
| s(fun(X1550,X1550),i(s(fun(fun(X1550,X1549),fun(X1550,X1550)),i(s(fun(fun(X1549,X1550),fun(fun(X1550,X1549),fun(X1550,X1550))),o),s(fun(X1549,X1550),X1552))),s(fun(X1550,X1549),X1551))) != s(fun(X1550,X1550),i1)
| s(fun(X1549,X1550),i(s(fun(fun(X1550,X1549),fun(X1549,X1550)),inverse),s(fun(X1550,X1549),X1551))) = s(fun(X1549,X1550),X1552) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[aINVERSEu_UNIQUEu_o])]) ).
fof(c_0_5,plain,
! [X1554,X1555,X1556] : s(fun(X1554,X1554),i(s(fun(fun(X1554,X1554),fun(X1554,X1554)),i(s(fun(fun(X1554,X1554),fun(fun(X1554,X1554),fun(X1554,X1554))),o),s(fun(X1554,X1554),i(s(fun(prod(X1554,X1554),fun(X1554,X1554)),swap),s(prod(X1554,X1554),i(s(fun(X1554,prod(X1554,X1554)),i(s(fun(X1554,fun(X1554,prod(X1554,X1554))),c_),s(X1554,X1555))),s(X1554,X1556))))))),s(fun(X1554,X1554),i(s(fun(prod(X1554,X1554),fun(X1554,X1554)),swap),s(prod(X1554,X1554),i(s(fun(X1554,prod(X1554,X1554)),i(s(fun(X1554,fun(X1554,prod(X1554,X1554))),c_),s(X1554,X1555))),s(X1554,X1556))))))) = s(fun(X1554,X1554),i1),
inference(variable_rename,[status(thm)],[aSWAPu_IDEMPOTENT]) ).
fof(c_0_6,negated_conjecture,
s(fun(esk1_0,esk1_0),i(s(fun(fun(esk1_0,esk1_0),fun(esk1_0,esk1_0)),inverse),s(fun(esk1_0,esk1_0),i(s(fun(prod(esk1_0,esk1_0),fun(esk1_0,esk1_0)),swap),s(prod(esk1_0,esk1_0),i(s(fun(esk1_0,prod(esk1_0,esk1_0)),i(s(fun(esk1_0,fun(esk1_0,prod(esk1_0,esk1_0))),c_),s(esk1_0,esk2_0))),s(esk1_0,esk3_0))))))) != s(fun(esk1_0,esk1_0),i(s(fun(prod(esk1_0,esk1_0),fun(esk1_0,esk1_0)),swap),s(prod(esk1_0,esk1_0),i(s(fun(esk1_0,prod(esk1_0,esk1_0)),i(s(fun(esk1_0,fun(esk1_0,prod(esk1_0,esk1_0))),c_),s(esk1_0,esk2_0))),s(esk1_0,esk3_0))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( s(fun(X1,X2),i(s(fun(fun(X2,X1),fun(X1,X2)),inverse),s(fun(X2,X1),X3))) = s(fun(X1,X2),X4)
| s(fun(X2,X2),i(s(fun(fun(X2,X1),fun(X2,X2)),i(s(fun(fun(X1,X2),fun(fun(X2,X1),fun(X2,X2))),o),s(fun(X1,X2),X4))),s(fun(X2,X1),X3))) != s(fun(X2,X2),i1)
| s(fun(X1,X1),i(s(fun(fun(X1,X2),fun(X1,X1)),i(s(fun(fun(X2,X1),fun(fun(X1,X2),fun(X1,X1))),o),s(fun(X2,X1),X3))),s(fun(X1,X2),X4))) != s(fun(X1,X1),i1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
s(fun(X1,X1),i(s(fun(fun(X1,X1),fun(X1,X1)),i(s(fun(fun(X1,X1),fun(fun(X1,X1),fun(X1,X1))),o),s(fun(X1,X1),i(s(fun(prod(X1,X1),fun(X1,X1)),swap),s(prod(X1,X1),i(s(fun(X1,prod(X1,X1)),i(s(fun(X1,fun(X1,prod(X1,X1))),c_),s(X1,X2))),s(X1,X3))))))),s(fun(X1,X1),i(s(fun(prod(X1,X1),fun(X1,X1)),swap),s(prod(X1,X1),i(s(fun(X1,prod(X1,X1)),i(s(fun(X1,fun(X1,prod(X1,X1))),c_),s(X1,X2))),s(X1,X3))))))) = s(fun(X1,X1),i1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
s(fun(esk1_0,esk1_0),i(s(fun(fun(esk1_0,esk1_0),fun(esk1_0,esk1_0)),inverse),s(fun(esk1_0,esk1_0),i(s(fun(prod(esk1_0,esk1_0),fun(esk1_0,esk1_0)),swap),s(prod(esk1_0,esk1_0),i(s(fun(esk1_0,prod(esk1_0,esk1_0)),i(s(fun(esk1_0,fun(esk1_0,prod(esk1_0,esk1_0))),c_),s(esk1_0,esk2_0))),s(esk1_0,esk3_0))))))) != s(fun(esk1_0,esk1_0),i(s(fun(prod(esk1_0,esk1_0),fun(esk1_0,esk1_0)),swap),s(prod(esk1_0,esk1_0),i(s(fun(esk1_0,prod(esk1_0,esk1_0)),i(s(fun(esk1_0,fun(esk1_0,prod(esk1_0,esk1_0))),c_),s(esk1_0,esk2_0))),s(esk1_0,esk3_0))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
s(fun(X1,X1),i(s(fun(fun(X1,X1),fun(X1,X1)),inverse),s(fun(X1,X1),i(s(fun(prod(X1,X1),fun(X1,X1)),swap),s(prod(X1,X1),i(s(fun(X1,prod(X1,X1)),i(s(fun(X1,fun(X1,prod(X1,X1))),c_),s(X1,X2))),s(X1,X3))))))) = s(fun(X1,X1),i(s(fun(prod(X1,X1),fun(X1,X1)),swap),s(prod(X1,X1),i(s(fun(X1,prod(X1,X1)),i(s(fun(X1,fun(X1,prod(X1,X1))),c_),s(X1,X2))),s(X1,X3))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO482+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 15:18:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.09/4.28 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.09/4.28 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.09/4.28 # Preprocessing time : 0.432 s
% 1.09/4.28
% 1.09/4.28 # Proof found!
% 1.09/4.28 # SZS status Theorem
% 1.09/4.28 # SZS output start CNFRefutation
% See solution above
% 1.09/4.28 # Proof object total steps : 12
% 1.09/4.28 # Proof object clause steps : 5
% 1.09/4.28 # Proof object formula steps : 7
% 1.09/4.28 # Proof object conjectures : 5
% 1.09/4.28 # Proof object clause conjectures : 2
% 1.09/4.28 # Proof object formula conjectures : 3
% 1.09/4.28 # Proof object initial clauses used : 3
% 1.09/4.28 # Proof object initial formulas used : 3
% 1.09/4.28 # Proof object generating inferences : 1
% 1.09/4.28 # Proof object simplifying inferences : 4
% 1.09/4.28 # Training examples: 0 positive, 0 negative
% 1.09/4.28 # Parsed axioms : 3650
% 1.09/4.28 # Removed by relevancy pruning/SinE : 3549
% 1.09/4.28 # Initial clauses : 342
% 1.09/4.28 # Removed in clause preprocessing : 142
% 1.09/4.28 # Initial clauses in saturation : 200
% 1.09/4.28 # Processed clauses : 233
% 1.09/4.28 # ...of these trivial : 0
% 1.09/4.28 # ...subsumed : 22
% 1.09/4.28 # ...remaining for further processing : 211
% 1.09/4.28 # Other redundant clauses eliminated : 0
% 1.09/4.28 # Clauses deleted for lack of memory : 0
% 1.09/4.28 # Backward-subsumed : 0
% 1.09/4.28 # Backward-rewritten : 1
% 1.09/4.28 # Generated clauses : 17267
% 1.09/4.28 # ...of the previous two non-trivial : 16591
% 1.09/4.28 # Contextual simplify-reflections : 3
% 1.09/4.28 # Paramodulations : 17259
% 1.09/4.28 # Factorizations : 0
% 1.09/4.28 # Equation resolutions : 8
% 1.09/4.28 # Current number of processed clauses : 210
% 1.09/4.28 # Positive orientable unit clauses : 10
% 1.09/4.28 # Positive unorientable unit clauses: 5
% 1.09/4.28 # Negative unit clauses : 0
% 1.09/4.28 # Non-unit-clauses : 195
% 1.09/4.28 # Current number of unprocessed clauses: 16558
% 1.09/4.28 # ...number of literals in the above : 69446
% 1.09/4.28 # Current number of archived formulas : 0
% 1.09/4.28 # Current number of archived clauses : 1
% 1.09/4.28 # Clause-clause subsumption calls (NU) : 20855
% 1.09/4.28 # Rec. Clause-clause subsumption calls : 6422
% 1.09/4.28 # Non-unit clause-clause subsumptions : 15
% 1.09/4.28 # Unit Clause-clause subsumption calls : 50
% 1.09/4.28 # Rewrite failures with RHS unbound : 0
% 1.09/4.28 # BW rewrite match attempts : 3263
% 1.09/4.28 # BW rewrite match successes : 10
% 1.09/4.28 # Condensation attempts : 0
% 1.09/4.28 # Condensation successes : 0
% 1.09/4.28 # Termbank termtop insertions : 2491291
% 1.09/4.28
% 1.09/4.28 # -------------------------------------------------
% 1.09/4.28 # User time : 2.802 s
% 1.09/4.28 # System time : 0.027 s
% 1.09/4.28 # Total time : 2.829 s
% 1.09/4.28 # Maximum resident set size: 35024 pages
% 1.09/24.26 eprover: CPU time limit exceeded, terminating
% 1.09/24.26 eprover: CPU time limit exceeded, terminating
% 1.09/24.26 eprover: CPU time limit exceeded, terminating
% 1.09/24.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.28 eprover: No such file or directory
% 1.09/24.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.28 eprover: No such file or directory
% 1.09/24.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.28 eprover: No such file or directory
% 1.09/24.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.28 eprover: No such file or directory
% 1.09/24.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.28 eprover: No such file or directory
% 1.09/24.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.28 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.29 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.30 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.30 eprover: No such file or directory
% 1.09/24.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.31 eprover: No such file or directory
% 1.09/24.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.31 eprover: No such file or directory
% 1.09/24.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.31 eprover: No such file or directory
% 1.09/24.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.31 eprover: No such file or directory
% 1.09/24.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.31 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.32 eprover: No such file or directory
% 1.09/24.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/24.33 eprover: No such file or directory
%------------------------------------------------------------------------------