TSTP Solution File: SEU182+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU182+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:17:33 EDT 2022
% Result : Theorem 0.40s 23.58s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 150 ( 25 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 211 ( 88 ~; 94 |; 14 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-5 aty)
% Number of variables : 88 ( 8 sgn 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d4_relat_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d8_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k5_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(t44_relat_1,conjecture,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t44_relat_1) ).
fof(c_0_5,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk4_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk5_2(X5,X6),X6)
| ~ in(ordered_pair(esk5_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk5_2(X5,X6),X6)
| in(ordered_pair(esk5_2(X5,X6),esk6_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ 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)],[d4_relat_1])])])])])])]) ).
fof(c_0_6,plain,
! [X7,X8,X9,X10,X11,X10,X11,X13,X16] :
( ( in(ordered_pair(X10,esk7_5(X7,X8,X9,X10,X11)),X7)
| ~ in(ordered_pair(X10,X11),X9)
| X9 != relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk7_5(X7,X8,X9,X10,X11),X11),X8)
| ~ in(ordered_pair(X10,X11),X9)
| X9 != relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(X10,X13),X7)
| ~ in(ordered_pair(X13,X11),X8)
| in(ordered_pair(X10,X11),X9)
| X9 != relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(esk8_3(X7,X8,X9),esk9_3(X7,X8,X9)),X9)
| ~ in(ordered_pair(esk8_3(X7,X8,X9),X16),X7)
| ~ in(ordered_pair(X16,esk9_3(X7,X8,X9)),X8)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk8_3(X7,X8,X9),esk10_3(X7,X8,X9)),X7)
| in(ordered_pair(esk8_3(X7,X8,X9),esk9_3(X7,X8,X9)),X9)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk10_3(X7,X8,X9),esk9_3(X7,X8,X9)),X8)
| in(ordered_pair(esk8_3(X7,X8,X9),esk9_3(X7,X8,X9)),X9)
| X9 = relation_composition(X7,X8)
| ~ relation(X9)
| ~ 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)],[d8_relat_1])])])])])])]) ).
cnf(c_0_7,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( in(ordered_pair(X4,esk7_5(X1,X2,X3,X4,X5)),X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ relation(X3)
| X3 != relation_composition(X1,X2)
| ~ in(ordered_pair(X4,X5),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X2 != relation_dom(X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(ordered_pair(X1,X6),X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( in(ordered_pair(X3,esk4_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ relation(X4)
| relation(relation_composition(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
cnf(c_0_12,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X2 != relation_dom(X4)
| X6 != relation_dom(X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(X1,X6) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( in(X1,X2)
| X3 != relation_dom(relation_composition(X4,X5))
| X2 != relation_dom(X4)
| ~ relation(X4)
| ~ relation(X5)
| ~ in(X1,X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_12]),c_0_13]) ).
fof(c_0_15,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_16,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1)) ) ),
inference(assume_negation,[status(cth)],[t44_relat_1]) ).
cnf(c_0_17,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,relation_dom(relation_composition(X3,X4))) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,negated_conjecture,
( relation(esk1_0)
& relation(esk2_0)
& ~ subset(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_20,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( subset(relation_dom(relation_composition(X1,X2)),X3)
| in(esk3_2(relation_dom(relation_composition(X1,X2)),X3),X4)
| X4 != relation_dom(X1)
| ~ relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ subset(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( subset(relation_dom(relation_composition(X1,X2)),X3)
| X3 != relation_dom(X1)
| ~ relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU182+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n011.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 07:09:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/23.40 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.58 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.40/23.58
% 0.40/23.58 # Failure: Resource limit exceeded (time)
% 0.40/23.58 # OLD status Res
% 0.40/23.58 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.40/23.58 # Preprocessing time : 0.017 s
% 0.40/23.58 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.40/23.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.40/23.58 # Preprocessing time : 0.017 s
% 0.40/23.58
% 0.40/23.58 # Proof found!
% 0.40/23.58 # SZS status Theorem
% 0.40/23.58 # SZS output start CNFRefutation
% See solution above
% 0.40/23.58 # Proof object total steps : 27
% 0.40/23.58 # Proof object clause steps : 16
% 0.40/23.58 # Proof object formula steps : 11
% 0.40/23.58 # Proof object conjectures : 7
% 0.40/23.58 # Proof object clause conjectures : 4
% 0.40/23.58 # Proof object formula conjectures : 3
% 0.40/23.58 # Proof object initial clauses used : 9
% 0.40/23.58 # Proof object initial formulas used : 5
% 0.40/23.58 # Proof object generating inferences : 7
% 0.40/23.58 # Proof object simplifying inferences : 4
% 0.40/23.58 # Training examples: 0 positive, 0 negative
% 0.40/23.58 # Parsed axioms : 35
% 0.40/23.58 # Removed by relevancy pruning/SinE : 27
% 0.40/23.58 # Initial clauses : 22
% 0.40/23.58 # Removed in clause preprocessing : 0
% 0.40/23.58 # Initial clauses in saturation : 22
% 0.40/23.58 # Processed clauses : 61
% 0.40/23.58 # ...of these trivial : 3
% 0.40/23.58 # ...subsumed : 0
% 0.40/23.58 # ...remaining for further processing : 58
% 0.40/23.58 # Other redundant clauses eliminated : 0
% 0.40/23.58 # Clauses deleted for lack of memory : 0
% 0.40/23.58 # Backward-subsumed : 0
% 0.40/23.58 # Backward-rewritten : 0
% 0.40/23.58 # Generated clauses : 148
% 0.40/23.58 # ...of the previous two non-trivial : 131
% 0.40/23.58 # Contextual simplify-reflections : 1
% 0.40/23.58 # Paramodulations : 136
% 0.40/23.58 # Factorizations : 6
% 0.40/23.58 # Equation resolutions : 6
% 0.40/23.58 # Current number of processed clauses : 58
% 0.40/23.58 # Positive orientable unit clauses : 5
% 0.40/23.58 # Positive unorientable unit clauses: 0
% 0.40/23.58 # Negative unit clauses : 1
% 0.40/23.58 # Non-unit-clauses : 52
% 0.40/23.58 # Current number of unprocessed clauses: 92
% 0.40/23.58 # ...number of literals in the above : 1012
% 0.40/23.58 # Current number of archived formulas : 0
% 0.40/23.58 # Current number of archived clauses : 0
% 0.40/23.58 # Clause-clause subsumption calls (NU) : 978
% 0.40/23.58 # Rec. Clause-clause subsumption calls : 508
% 0.40/23.58 # Non-unit clause-clause subsumptions : 1
% 0.40/23.58 # Unit Clause-clause subsumption calls : 0
% 0.40/23.58 # Rewrite failures with RHS unbound : 0
% 0.40/23.58 # BW rewrite match attempts : 1
% 0.40/23.58 # BW rewrite match successes : 0
% 0.40/23.58 # Condensation attempts : 0
% 0.40/23.58 # Condensation successes : 0
% 0.40/23.58 # Termbank termtop insertions : 6615
% 0.40/23.58
% 0.40/23.58 # -------------------------------------------------
% 0.40/23.58 # User time : 0.027 s
% 0.40/23.58 # System time : 0.005 s
% 0.40/23.58 # Total time : 0.032 s
% 0.40/23.58 # Maximum resident set size: 3280 pages
% 0.43/46.42 eprover: CPU time limit exceeded, terminating
% 0.43/46.43 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.43/46.43
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.49 eprover: No such file or directory
% 0.43/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.49 eprover: No such file or directory
% 0.43/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.49 eprover: No such file or directory
%------------------------------------------------------------------------------