TSTP Solution File: SEU221+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU221+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 09:17:59 EDT 2022
% Result : Theorem 0.44s 23.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 141 ( 20 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 183 ( 71 ~; 78 |; 22 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
<=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
& in(X3,relation_dom(X1))
& apply(X1,X2) = apply(X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d8_funct_1) ).
fof(t55_funct_1,lemma,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_rng(X1) = relation_dom(function_inverse(X1))
& relation_dom(X1) = relation_rng(function_inverse(X1)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t55_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k2_funct_1) ).
fof(t57_funct_1,lemma,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X2)
& in(X1,relation_rng(X2)) )
=> ( X1 = apply(X2,apply(function_inverse(X2),X1))
& X1 = apply(relation_composition(function_inverse(X2),X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t57_funct_1) ).
fof(t62_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(function_inverse(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t62_funct_1) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ( ~ one_to_one(X4)
| ~ in(X5,relation_dom(X4))
| ~ in(X6,relation_dom(X4))
| apply(X4,X5) != apply(X4,X6)
| X5 = X6
| ~ relation(X4)
| ~ function(X4) )
& ( in(esk2_1(X4),relation_dom(X4))
| one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) )
& ( in(esk3_1(X4),relation_dom(X4))
| one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) )
& ( apply(X4,esk2_1(X4)) = apply(X4,esk3_1(X4))
| one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) )
& ( esk2_1(X4) != esk3_1(X4)
| one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[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)],[d8_funct_1])])])])])])]) ).
fof(c_0_6,lemma,
! [X2] :
( ( relation_rng(X2) = relation_dom(function_inverse(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) )
& ( relation_dom(X2) = relation_rng(function_inverse(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t55_funct_1])])]) ).
fof(c_0_7,plain,
! [X2] :
( ( relation(function_inverse(X2))
| ~ relation(X2)
| ~ function(X2) )
& ( function(function_inverse(X2))
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).
fof(c_0_8,lemma,
! [X3,X4] :
( ( X3 = apply(X4,apply(function_inverse(X4),X3))
| ~ one_to_one(X4)
| ~ in(X3,relation_rng(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X3 = apply(relation_composition(function_inverse(X4),X4),X3)
| ~ one_to_one(X4)
| ~ in(X3,relation_rng(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t57_funct_1])])]) ).
cnf(c_0_9,plain,
( one_to_one(X1)
| in(esk3_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,lemma,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,lemma,
( X2 = apply(X1,apply(function_inverse(X1),X2))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_rng(X1))
| ~ one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( one_to_one(X1)
| apply(X1,esk2_1(X1)) = apply(X1,esk3_1(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,lemma,
( one_to_one(function_inverse(X1))
| in(esk3_1(function_inverse(X1)),relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_16,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(function_inverse(X1)) ) ),
inference(assume_negation,[status(cth)],[t62_funct_1]) ).
cnf(c_0_18,lemma,
( apply(X1,apply(function_inverse(X1),esk2_1(function_inverse(X1)))) = esk3_1(function_inverse(X1))
| one_to_one(function_inverse(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11]),c_0_12]),c_0_15]) ).
cnf(c_0_19,lemma,
( one_to_one(function_inverse(X1))
| in(esk2_1(function_inverse(X1)),relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_11]),c_0_12]) ).
fof(c_0_20,negated_conjecture,
( relation(esk1_0)
& function(esk1_0)
& one_to_one(esk1_0)
& ~ one_to_one(function_inverse(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_21,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ relation(X1)
| esk2_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,lemma,
( esk3_1(function_inverse(X1)) = esk2_1(function_inverse(X1))
| one_to_one(function_inverse(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ one_to_one(function_inverse(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,lemma,
( one_to_one(function_inverse(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_25,negated_conjecture,
one_to_one(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU221+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 06:47:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.44/23.45 eprover: CPU time limit exceeded, terminating
% 0.44/23.45 eprover: CPU time limit exceeded, terminating
% 0.44/23.46 eprover: CPU time limit exceeded, terminating
% 0.44/23.48 eprover: CPU time limit exceeded, terminating
% 0.44/23.61 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.44/23.61
% 0.44/23.61 # Failure: Resource limit exceeded (time)
% 0.44/23.61 # OLD status Res
% 0.44/23.61 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.44/23.61 # Preprocessing time : 0.025 s
% 0.44/23.61 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.44/23.61 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.44/23.61 # Preprocessing time : 0.011 s
% 0.44/23.61
% 0.44/23.61 # Proof found!
% 0.44/23.61 # SZS status Theorem
% 0.44/23.61 # SZS output start CNFRefutation
% See solution above
% 0.44/23.61 # Proof object total steps : 29
% 0.44/23.61 # Proof object clause steps : 18
% 0.44/23.61 # Proof object formula steps : 11
% 0.44/23.61 # Proof object conjectures : 8
% 0.44/23.61 # Proof object clause conjectures : 5
% 0.44/23.61 # Proof object formula conjectures : 3
% 0.44/23.61 # Proof object initial clauses used : 12
% 0.44/23.61 # Proof object initial formulas used : 5
% 0.44/23.61 # Proof object generating inferences : 6
% 0.44/23.61 # Proof object simplifying inferences : 14
% 0.44/23.61 # Training examples: 0 positive, 0 negative
% 0.44/23.61 # Parsed axioms : 234
% 0.44/23.61 # Removed by relevancy pruning/SinE : 222
% 0.44/23.61 # Initial clauses : 42
% 0.44/23.61 # Removed in clause preprocessing : 2
% 0.44/23.61 # Initial clauses in saturation : 40
% 0.44/23.61 # Processed clauses : 60
% 0.44/23.61 # ...of these trivial : 1
% 0.44/23.61 # ...subsumed : 1
% 0.44/23.61 # ...remaining for further processing : 58
% 0.44/23.61 # Other redundant clauses eliminated : 1
% 0.44/23.61 # Clauses deleted for lack of memory : 0
% 0.44/23.61 # Backward-subsumed : 4
% 0.44/23.61 # Backward-rewritten : 0
% 0.44/23.61 # Generated clauses : 106
% 0.44/23.61 # ...of the previous two non-trivial : 92
% 0.44/23.61 # Contextual simplify-reflections : 33
% 0.44/23.61 # Paramodulations : 103
% 0.44/23.61 # Factorizations : 0
% 0.44/23.61 # Equation resolutions : 3
% 0.44/23.61 # Current number of processed clauses : 54
% 0.44/23.61 # Positive orientable unit clauses : 12
% 0.44/23.61 # Positive unorientable unit clauses: 0
% 0.44/23.61 # Negative unit clauses : 1
% 0.44/23.61 # Non-unit-clauses : 41
% 0.44/23.61 # Current number of unprocessed clauses: 59
% 0.44/23.61 # ...number of literals in the above : 642
% 0.44/23.61 # Current number of archived formulas : 0
% 0.44/23.61 # Current number of archived clauses : 4
% 0.44/23.61 # Clause-clause subsumption calls (NU) : 1526
% 0.44/23.61 # Rec. Clause-clause subsumption calls : 78
% 0.44/23.61 # Non-unit clause-clause subsumptions : 38
% 0.44/23.61 # Unit Clause-clause subsumption calls : 34
% 0.44/23.61 # Rewrite failures with RHS unbound : 0
% 0.44/23.61 # BW rewrite match attempts : 0
% 0.44/23.61 # BW rewrite match successes : 0
% 0.44/23.61 # Condensation attempts : 0
% 0.44/23.61 # Condensation successes : 0
% 0.44/23.61 # Termbank termtop insertions : 9463
% 0.44/23.61
% 0.44/23.61 # -------------------------------------------------
% 0.44/23.61 # User time : 0.013 s
% 0.44/23.61 # System time : 0.002 s
% 0.44/23.61 # Total time : 0.015 s
% 0.44/23.61 # Maximum resident set size: 3392 pages
% 0.44/46.46 eprover: CPU time limit exceeded, terminating
% 0.44/46.47 eprover: CPU time limit exceeded, terminating
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.49 eprover: CPU time limit exceeded, terminating
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.51 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.51 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.51 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.51 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.51 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.51 eprover: No such file or directory
% 0.44/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.52 eprover: No such file or directory
% 0.44/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.52 eprover: No such file or directory
% 0.44/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.52 eprover: No such file or directory
% 0.44/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.52 eprover: No such file or directory
% 0.44/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.52 eprover: No such file or directory
% 0.44/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.52 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.53 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.54 eprover: No such file or directory
% 0.44/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.55 eprover: No such file or directory
% 0.44/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/46.56 eprover: No such file or directory
%------------------------------------------------------------------------------