TSTP Solution File: SEU199+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU199+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:17:44 EDT 2022
% Result : Theorem 0.72s 93.89s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 99 ( 9 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 134 ( 55 ~; 59 |; 9 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 48 ( 5 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_rng_restriction(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ( in(X5,X1)
& in(ordered_pair(X4,X5),X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d12_relat_1) ).
fof(d3_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X1)
=> in(ordered_pair(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_relat_1) ).
fof(t117_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng_restriction(X1,X2),X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t117_relat_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k8_relat_1) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X10,X9,X10] :
( ( in(X10,X6)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(X9,X10),X7)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(X10,X6)
| ~ in(ordered_pair(X9,X10),X7)
| in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8)
| ~ in(esk5_3(X6,X7,X8),X6)
| ~ in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(esk5_3(X6,X7,X8),X6)
| in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7)
| in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) ) ),
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_relat_1])])])])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] :
( ( ~ subset(X5,X6)
| ~ in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X7,X8),X6)
| ~ relation(X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk12_2(X5,X6),esk13_2(X5,X6)),X5)
| subset(X5,X6)
| ~ relation(X6)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk12_2(X5,X6),esk13_2(X5,X6)),X6)
| subset(X5,X6)
| ~ relation(X6)
| ~ relation(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_relat_1])])])])])])]) ).
cnf(c_0_6,plain,
( in(ordered_pair(X4,X5),X1)
| ~ relation(X1)
| ~ relation(X2)
| X2 != relation_rng_restriction(X3,X1)
| ~ in(ordered_pair(X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( subset(X1,X2)
| in(ordered_pair(esk12_2(X1,X2),esk13_2(X1,X2)),X1)
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_rng_restriction(X1,X2),X2) ),
inference(assume_negation,[status(cth)],[t117_relat_1]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| in(ordered_pair(esk12_2(X1,X2),esk13_2(X1,X2)),X3)
| X1 != relation_rng_restriction(X4,X3)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
inference(pm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_10,negated_conjecture,
( relation(esk2_0)
& ~ subset(relation_rng_restriction(esk1_0,esk2_0),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(ordered_pair(esk12_2(X1,X2),esk13_2(X1,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( subset(relation_rng_restriction(X1,X2),X3)
| in(ordered_pair(esk12_2(relation_rng_restriction(X1,X2),X3),esk13_2(relation_rng_restriction(X1,X2),X3)),X2)
| ~ relation(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ relation(X3) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ subset(relation_rng_restriction(esk1_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( subset(relation_rng_restriction(X1,X2),X2)
| ~ relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(pm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ~ relation(X4)
| relation(relation_rng_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_17,negated_conjecture,
~ relation(relation_rng_restriction(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_17,c_0_18]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU199+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Mon Jun 20 03:01:38 EDT 2022
% 0.12/0.34 % 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
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.46/46.42 eprover: CPU time limit exceeded, terminating
% 0.46/46.43 eprover: CPU time limit exceeded, terminating
% 0.46/46.44 eprover: CPU time limit exceeded, terminating
% 0.46/46.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.45 eprover: CPU time limit exceeded, terminating
% 0.59/69.46 eprover: CPU time limit exceeded, terminating
% 0.59/69.46 eprover: CPU time limit exceeded, terminating
% 0.72/92.46 eprover: CPU time limit exceeded, terminating
% 0.72/92.46 eprover: CPU time limit exceeded, terminating
% 0.72/92.47 eprover: CPU time limit exceeded, terminating
% 0.72/92.48 eprover: CPU time limit exceeded, terminating
% 0.72/93.89 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.72/93.89
% 0.72/93.89 # Failure: Resource limit exceeded (time)
% 0.72/93.89 # OLD status Res
% 0.72/93.89 # Preprocessing time : 0.033 s
% 0.72/93.89 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.72/93.89
% 0.72/93.89 # Failure: Resource limit exceeded (time)
% 0.72/93.89 # OLD status Res
% 0.72/93.89 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.72/93.89 # Preprocessing time : 0.021 s
% 0.72/93.89 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.72/93.89
% 0.72/93.89 # Failure: Resource limit exceeded (time)
% 0.72/93.89 # OLD status Res
% 0.72/93.89 # Preprocessing time : 0.033 s
% 0.72/93.89 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.72/93.89
% 0.72/93.89 # Failure: Resource limit exceeded (time)
% 0.72/93.89 # OLD status Res
% 0.72/93.89 # Preprocessing time : 0.017 s
% 0.72/93.89 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 0.72/93.89 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 0.72/93.89 # Preprocessing time : 0.022 s
% 0.72/93.89
% 0.72/93.89 # Proof found!
% 0.72/93.89 # SZS status Theorem
% 0.72/93.89 # SZS output start CNFRefutation
% See solution above
% 0.72/93.89 # Proof object total steps : 20
% 0.72/93.89 # Proof object clause steps : 11
% 0.72/93.89 # Proof object formula steps : 9
% 0.72/93.89 # Proof object conjectures : 7
% 0.72/93.89 # Proof object clause conjectures : 4
% 0.72/93.89 # Proof object formula conjectures : 3
% 0.72/93.89 # Proof object initial clauses used : 6
% 0.72/93.89 # Proof object initial formulas used : 4
% 0.72/93.89 # Proof object generating inferences : 5
% 0.72/93.89 # Proof object simplifying inferences : 4
% 0.72/93.89 # Training examples: 0 positive, 0 negative
% 0.72/93.89 # Parsed axioms : 192
% 0.72/93.89 # Removed by relevancy pruning/SinE : 166
% 0.72/93.89 # Initial clauses : 59
% 0.72/93.89 # Removed in clause preprocessing : 2
% 0.72/93.89 # Initial clauses in saturation : 57
% 0.72/93.89 # Processed clauses : 1387
% 0.72/93.89 # ...of these trivial : 23
% 0.72/93.89 # ...subsumed : 425
% 0.72/93.89 # ...remaining for further processing : 939
% 0.72/93.89 # Other redundant clauses eliminated : 4
% 0.72/93.89 # Clauses deleted for lack of memory : 0
% 0.72/93.89 # Backward-subsumed : 18
% 0.72/93.89 # Backward-rewritten : 0
% 0.72/93.89 # Generated clauses : 37309
% 0.72/93.89 # ...of the previous two non-trivial : 36473
% 0.72/93.89 # Contextual simplify-reflections : 0
% 0.72/93.89 # Paramodulations : 37219
% 0.72/93.89 # Factorizations : 10
% 0.72/93.89 # Equation resolutions : 71
% 0.72/93.89 # Current number of processed clauses : 919
% 0.72/93.89 # Positive orientable unit clauses : 4
% 0.72/93.89 # Positive unorientable unit clauses: 0
% 0.72/93.89 # Negative unit clauses : 3
% 0.72/93.89 # Non-unit-clauses : 912
% 0.72/93.89 # Current number of unprocessed clauses: 34366
% 0.72/93.89 # ...number of literals in the above : 271580
% 0.72/93.89 # Current number of archived formulas : 0
% 0.72/93.89 # Current number of archived clauses : 18
% 0.72/93.89 # Clause-clause subsumption calls (NU) : 24985
% 0.72/93.89 # Rec. Clause-clause subsumption calls : 2767
% 0.72/93.89 # Non-unit clause-clause subsumptions : 427
% 0.72/93.89 # Unit Clause-clause subsumption calls : 19
% 0.72/93.89 # Rewrite failures with RHS unbound : 0
% 0.72/93.89 # BW rewrite match attempts : 1
% 0.72/93.89 # BW rewrite match successes : 0
% 0.72/93.89 # Condensation attempts : 0
% 0.72/93.89 # Condensation successes : 0
% 0.72/93.89 # Termbank termtop insertions : 1122617
% 0.72/93.89
% 0.72/93.89 # -------------------------------------------------
% 0.72/93.89 # User time : 0.829 s
% 0.72/93.89 # System time : 0.026 s
% 0.72/93.89 # Total time : 0.855 s
% 0.72/93.89 # Maximum resident set size: 41584 pages
% 0.72/115.47 eprover: CPU time limit exceeded, terminating
% 0.72/115.48 eprover: CPU time limit exceeded, terminating
% 0.72/115.49 eprover: CPU time limit exceeded, terminating
% 0.72/115.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.49 eprover: No such file or directory
% 0.72/115.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.50 eprover: No such file or directory
% 0.72/115.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.50 eprover: No such file or directory
% 0.72/115.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.50 eprover: No such file or directory
% 0.72/115.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.50 eprover: No such file or directory
% 0.72/115.51 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.51 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.51 eprover: No such file or directory
% 0.72/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.52 eprover: No such file or directory
% 0.72/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.52 eprover: No such file or directory
% 0.72/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.52 eprover: No such file or directory
% 0.72/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.52 eprover: No such file or directory
% 0.72/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/115.52 eprover: No such file or directory
% 0.72/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.53 eprover: No such file or directory
% 0.72/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.53 eprover: No such file or directory
% 0.72/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.54 eprover: No such file or directory
% 0.72/115.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/115.55 eprover: No such file or directory
%------------------------------------------------------------------------------