%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU226+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 09:18:02 EDT 2022
% Result : Theorem 0.35s 24.54s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 157 ( 27 equ)
% Maximal formula atoms : 44 ( 6 avg)
% Number of connectives : 223 ( 90 ~; 100 |; 23 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 73 ( 8 sgn 36 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d13_funct_1) ).
fof(d12_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,relation_dom(X1))
& in(X5,X2)
& X4 = apply(X1,X5) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d12_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(t145_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> subset(relation_image(X2,relation_inverse_image(X2,X1)),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t145_funct_1) ).
fof(c_0_4,plain,
! [X5,X6,X7,X8,X8,X6,X7] :
( ( in(X8,relation_dom(X5))
| ~ in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X5,X8),X6)
| ~ in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X8,relation_dom(X5))
| ~ in(apply(X5,X8),X6)
| in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk11_3(X5,X6,X7),X7)
| ~ in(esk11_3(X5,X6,X7),relation_dom(X5))
| ~ in(apply(X5,esk11_3(X5,X6,X7)),X6)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk11_3(X5,X6,X7),relation_dom(X5))
| in(esk11_3(X5,X6,X7),X7)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X5,esk11_3(X5,X6,X7)),X6)
| in(esk11_3(X5,X6,X7),X7)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) ) ),
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)],[d13_funct_1])])])])])])]) ).
cnf(c_0_5,plain,
( in(apply(X1,X4),X3)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(esk4_4(X6,X7,X8,X9),relation_dom(X6))
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk4_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( X9 = apply(X6,esk4_4(X6,X7,X8,X9))
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X11,relation_dom(X6))
| ~ in(X11,X7)
| X9 != apply(X6,X11)
| in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(esk5_3(X6,X7,X8),X8)
| ~ in(X13,relation_dom(X6))
| ~ in(X13,X7)
| esk5_3(X6,X7,X8) != apply(X6,X13)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk6_3(X6,X7,X8),relation_dom(X6))
| in(esk5_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk6_3(X6,X7,X8),X7)
| in(esk5_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( esk5_3(X6,X7,X8) = apply(X6,esk6_3(X6,X7,X8))
| in(esk5_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) ) ),
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)],[d12_funct_1])])])])])])]) ).
cnf(c_0_7,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( X4 = apply(X1,esk4_4(X1,X3,X2,X4))
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( in(X1,X2)
| X3 != relation_image(X4,X5)
| ~ relation(X4)
| ~ function(X4)
| ~ in(esk4_4(X4,X5,X3,X1),relation_inverse_image(X4,X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( in(esk4_4(X1,X3,X2,X4),X3)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( in(X1,X2)
| X3 != relation_image(X4,relation_inverse_image(X4,X2))
| ~ relation(X4)
| ~ function(X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_12,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk3_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk3_2(X4,X5),X5)
| subset(X4,X5) ) ),
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)],[d3_tarski])])])])])])]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> subset(relation_image(X2,relation_inverse_image(X2,X1)),X1) ),
inference(assume_negation,[status(cth)],[t145_funct_1]) ).
cnf(c_0_14,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_image(X3,relation_inverse_image(X3,X2))) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
( relation(esk2_0)
& function(esk2_0)
& ~ subset(relation_image(esk2_0,relation_inverse_image(esk2_0,esk1_0)),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X3)
| in(esk3_2(relation_image(X1,relation_inverse_image(X1,X2)),X3),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ subset(relation_image(esk2_0,relation_inverse_image(esk2_0,esk1_0)),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU226+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sun Jun 19 04:14:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/23.42 eprover: CPU time limit exceeded, terminating
% 0.34/23.42 eprover: CPU time limit exceeded, terminatingeprover:
% 0.34/23.42 CPU time limit exceeded, terminating
% 0.34/23.43 eprover: CPU time limit exceeded, terminating
% 0.35/24.54 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.35/24.54
% 0.35/24.54 # Failure: Resource limit exceeded (time)
% 0.35/24.54 # OLD status Res
% 0.35/24.54 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.35/24.54 # Preprocessing time : 0.029 s
% 0.35/24.54 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.35/24.54 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.35/24.54 # Preprocessing time : 0.012 s
% 0.35/24.54
% 0.35/24.54 # Proof found!
% 0.35/24.54 # SZS status Theorem
% 0.35/24.54 # SZS output start CNFRefutation
% See solution above
% 0.35/24.54 # Proof object total steps : 24
% 0.35/24.54 # Proof object clause steps : 15
% 0.35/24.54 # Proof object formula steps : 9
% 0.35/24.54 # Proof object conjectures : 7
% 0.35/24.54 # Proof object clause conjectures : 4
% 0.35/24.54 # Proof object formula conjectures : 3
% 0.35/24.54 # Proof object initial clauses used : 8
% 0.35/24.54 # Proof object initial formulas used : 4
% 0.35/24.54 # Proof object generating inferences : 7
% 0.35/24.54 # Proof object simplifying inferences : 3
% 0.35/24.54 # Training examples: 0 positive, 0 negative
% 0.35/24.54 # Parsed axioms : 243
% 0.35/24.54 # Removed by relevancy pruning/SinE : 222
% 0.35/24.54 # Initial clauses : 58
% 0.35/24.54 # Removed in clause preprocessing : 0
% 0.35/24.54 # Initial clauses in saturation : 58
% 0.35/24.54 # Processed clauses : 2438
% 0.35/24.54 # ...of these trivial : 63
% 0.35/24.54 # ...subsumed : 1480
% 0.35/24.54 # ...remaining for further processing : 895
% 0.35/24.54 # Other redundant clauses eliminated : 3
% 0.35/24.54 # Clauses deleted for lack of memory : 0
% 0.35/24.54 # Backward-subsumed : 23
% 0.35/24.54 # Backward-rewritten : 6
% 0.35/24.54 # Generated clauses : 55604
% 0.35/24.54 # ...of the previous two non-trivial : 54338
% 0.35/24.54 # Contextual simplify-reflections : 715
% 0.35/24.54 # Paramodulations : 55502
% 0.35/24.54 # Factorizations : 12
% 0.35/24.54 # Equation resolutions : 90
% 0.35/24.54 # Current number of processed clauses : 864
% 0.35/24.54 # Positive orientable unit clauses : 11
% 0.35/24.54 # Positive unorientable unit clauses: 0
% 0.35/24.54 # Negative unit clauses : 3
% 0.35/24.54 # Non-unit-clauses : 850
% 0.35/24.54 # Current number of unprocessed clauses: 51376
% 0.35/24.54 # ...number of literals in the above : 330385
% 0.35/24.54 # Current number of archived formulas : 0
% 0.35/24.54 # Current number of archived clauses : 29
% 0.35/24.54 # Clause-clause subsumption calls (NU) : 139434
% 0.35/24.54 # Rec. Clause-clause subsumption calls : 41444
% 0.35/24.54 # Non-unit clause-clause subsumptions : 2218
% 0.35/24.54 # Unit Clause-clause subsumption calls : 572
% 0.35/24.54 # Rewrite failures with RHS unbound : 0
% 0.35/24.54 # BW rewrite match attempts : 6
% 0.35/24.54 # BW rewrite match successes : 3
% 0.35/24.54 # Condensation attempts : 0
% 0.35/24.54 # Condensation successes : 0
% 0.35/24.54 # Termbank termtop insertions : 1476664
% 0.35/24.54
% 0.35/24.54 # -------------------------------------------------
% 0.35/24.54 # User time : 0.883 s
% 0.35/24.54 # System time : 0.020 s
% 0.35/24.54 # Total time : 0.903 s
% 0.35/24.54 # Maximum resident set size: 51212 pages
% 0.35/46.44 eprover: CPU time limit exceeded, terminating
% 0.35/46.44 eprover: CPU time limit exceeded, terminating
% 0.35/46.44 eprover: CPU time limit exceeded, terminating
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.peprover:
% 0.35/46.49 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.51 eprover: No such file or directory
%------------------------------------------------------------------------------