%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU049+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 09:16:36 EDT 2022
% Result : Theorem 0.49s 51.67s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 165 ( 65 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 225 ( 93 ~; 105 |; 18 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-4 aty)
% Number of variables : 88 ( 6 sgn 26 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_tarski) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_funct_1) ).
fof(t117_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> relation_image(X2,singleton(X1)) = singleton(apply(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t117_funct_1) ).
fof(c_0_3,plain,
! [X4,X5,X6,X6,X4,X5] :
( ( ~ in(X6,X5)
| X6 = X4
| X5 != singleton(X4) )
& ( X6 != X4
| in(X6,X5)
| X5 != singleton(X4) )
& ( ~ in(esk4_2(X4,X5),X5)
| esk4_2(X4,X5) != X4
| X5 = singleton(X4) )
& ( in(esk4_2(X4,X5),X5)
| esk4_2(X4,X5) = X4
| X5 = singleton(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)],[d1_tarski])])])])])])]) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(esk1_4(X6,X7,X8,X9),relation_dom(X6))
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk1_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( X9 = apply(X6,esk1_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(esk2_3(X6,X7,X8),X8)
| ~ in(X13,relation_dom(X6))
| ~ in(X13,X7)
| esk2_3(X6,X7,X8) != apply(X6,X13)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk3_3(X6,X7,X8),relation_dom(X6))
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk3_3(X6,X7,X8),X7)
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( esk2_3(X6,X7,X8) = apply(X6,esk3_3(X6,X7,X8))
| in(esk2_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_5,plain,
( X3 = X2
| X1 != singleton(X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( in(esk1_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_4]) ).
cnf(c_0_7,plain,
( X1 = esk1_4(X2,X3,X4,X5)
| X4 != relation_image(X2,X3)
| X3 != singleton(X1)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( X4 = apply(X1,esk1_4(X1,X3,X2,X4))
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( esk1_4(X1,singleton(X2),X3,X4) = X2
| X3 != relation_image(X1,singleton(X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( apply(X1,X2) = X3
| X4 != relation_image(X1,singleton(X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> relation_image(X2,singleton(X1)) = singleton(apply(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[t117_funct_1]) ).
cnf(c_0_12,plain,
( apply(X1,X2) = X3
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,relation_image(X1,singleton(X2))) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( X1 = singleton(X2)
| esk4_2(X2,X1) = X2
| in(esk4_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_14,negated_conjecture,
( relation(esk17_0)
& function(esk17_0)
& in(esk16_0,relation_dom(esk17_0))
& relation_image(esk17_0,singleton(esk16_0)) != singleton(apply(esk17_0,esk16_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_15,plain,
( esk4_2(X1,relation_image(X2,singleton(X3))) = apply(X2,X3)
| esk4_2(X1,relation_image(X2,singleton(X3))) = X1
| relation_image(X2,singleton(X3)) = singleton(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( esk4_2(X1,relation_image(esk17_0,singleton(X2))) = apply(esk17_0,X2)
| esk4_2(X1,relation_image(esk17_0,singleton(X2))) = X1
| relation_image(esk17_0,singleton(X2)) = singleton(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_19,plain,
( in(X4,X2)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| X4 != apply(X1,X5)
| ~ in(X5,X3)
| ~ in(X5,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,plain,
( in(X3,X1)
| X1 != singleton(X2)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,plain,
( X1 = singleton(X2)
| esk4_2(X2,X1) != X2
| ~ in(esk4_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( esk4_2(X1,relation_image(esk17_0,singleton(X2))) = apply(esk17_0,X2)
| relation_image(esk17_0,singleton(X2)) = singleton(X1)
| X1 != apply(esk17_0,X2) ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( in(apply(X1,X2),X3)
| X3 != relation_image(X1,X4)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(X2,X4) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( in(X1,X2)
| X2 != singleton(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( relation_image(esk17_0,singleton(X1)) = singleton(X2)
| apply(esk17_0,X1) != X2
| ~ in(apply(esk17_0,X1),relation_image(esk17_0,singleton(X1))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( in(apply(X1,X2),relation_image(X1,X3))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(X2,X3) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( relation_image(esk17_0,singleton(X1)) = singleton(X2)
| apply(esk17_0,X1) != X2
| ~ in(X1,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]),c_0_17]),c_0_27])]) ).
cnf(c_0_29,negated_conjecture,
relation_image(esk17_0,singleton(esk16_0)) != singleton(apply(esk17_0,esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
( singleton(apply(esk17_0,X1)) = relation_image(esk17_0,singleton(X1))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
in(esk16_0,relation_dom(esk17_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU049+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n017.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 15:20:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.35/23.44 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.45 eprover: CPU time limit exceeded, terminating
% 0.47/46.46 eprover: CPU time limit exceeded, terminating
% 0.49/51.67 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.49/51.67
% 0.49/51.67 # Failure: Resource limit exceeded (time)
% 0.49/51.67 # OLD status Res
% 0.49/51.67 # Preprocessing time : 0.017 s
% 0.49/51.67 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.49/51.67
% 0.49/51.67 # Failure: Resource limit exceeded (time)
% 0.49/51.67 # OLD status Res
% 0.49/51.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.49/51.67 # Preprocessing time : 0.009 s
% 0.49/51.67 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.49/51.67 # Preprocessing time : 0.009 s
% 0.49/51.67
% 0.49/51.67 # Proof found!
% 0.49/51.67 # SZS status Theorem
% 0.49/51.67 # SZS output start CNFRefutation
% See solution above
% 0.49/51.67 # Proof object total steps : 33
% 0.49/51.67 # Proof object clause steps : 26
% 0.49/51.67 # Proof object formula steps : 7
% 0.49/51.67 # Proof object conjectures : 13
% 0.49/51.67 # Proof object clause conjectures : 10
% 0.49/51.67 # Proof object formula conjectures : 3
% 0.49/51.67 # Proof object initial clauses used : 11
% 0.49/51.67 # Proof object initial formulas used : 3
% 0.49/51.67 # Proof object generating inferences : 14
% 0.49/51.67 # Proof object simplifying inferences : 9
% 0.49/51.67 # Training examples: 0 positive, 0 negative
% 0.49/51.67 # Parsed axioms : 35
% 0.49/51.67 # Removed by relevancy pruning/SinE : 0
% 0.49/51.67 # Initial clauses : 66
% 0.49/51.67 # Removed in clause preprocessing : 2
% 0.49/51.67 # Initial clauses in saturation : 64
% 0.49/51.67 # Processed clauses : 8875
% 0.49/51.67 # ...of these trivial : 830
% 0.49/51.67 # ...subsumed : 6279
% 0.49/51.67 # ...remaining for further processing : 1766
% 0.49/51.67 # Other redundant clauses eliminated : 10
% 0.49/51.67 # Clauses deleted for lack of memory : 0
% 0.49/51.67 # Backward-subsumed : 436
% 0.49/51.67 # Backward-rewritten : 24
% 0.49/51.67 # Generated clauses : 145988
% 0.49/51.67 # ...of the previous two non-trivial : 141633
% 0.49/51.67 # Contextual simplify-reflections : 0
% 0.49/51.67 # Paramodulations : 145753
% 0.49/51.67 # Factorizations : 104
% 0.49/51.67 # Equation resolutions : 131
% 0.49/51.67 # Current number of processed clauses : 1305
% 0.49/51.67 # Positive orientable unit clauses : 158
% 0.49/51.67 # Positive unorientable unit clauses: 38
% 0.49/51.67 # Negative unit clauses : 17
% 0.49/51.67 # Non-unit-clauses : 1092
% 0.49/51.67 # Current number of unprocessed clauses: 105642
% 0.49/51.67 # ...number of literals in the above : 594942
% 0.49/51.67 # Current number of archived formulas : 0
% 0.49/51.67 # Current number of archived clauses : 460
% 0.49/51.67 # Clause-clause subsumption calls (NU) : 538895
% 0.49/51.67 # Rec. Clause-clause subsumption calls : 58906
% 0.49/51.67 # Non-unit clause-clause subsumptions : 4884
% 0.49/51.67 # Unit Clause-clause subsumption calls : 60211
% 0.49/51.67 # Rewrite failures with RHS unbound : 286
% 0.49/51.67 # BW rewrite match attempts : 19764
% 0.49/51.67 # BW rewrite match successes : 194
% 0.49/51.67 # Condensation attempts : 0
% 0.49/51.67 # Condensation successes : 0
% 0.49/51.67 # Termbank termtop insertions : 13299199
% 0.49/51.67
% 0.49/51.67 # -------------------------------------------------
% 0.49/51.67 # User time : 4.313 s
% 0.49/51.67 # System time : 0.073 s
% 0.49/51.67 # Total time : 4.386 s
% 0.49/51.67 # Maximum resident set size: 96508 pages
% 0.49/69.45 eprover: CPU time limit exceeded, terminating
% 0.49/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.46 eprover: No such file or directory
% 0.49/69.47 eprover: CPU time limit exceeded, terminating
% 0.49/69.47 eprover: CPU time limit exceeded, terminating
% 0.49/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.47 eprover: No such file or directory
% 0.49/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.48 eprover: No such file or directory
% 0.49/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.48 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.53 eprover: No such file or directory
% 0.49/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.53 eprover: No such file or directory
% 0.49/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.53 eprover: No such file or directory
%------------------------------------------------------------------------------