TSTP Solution File: SEU211+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU211+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 09:17:51 EDT 2022
% Result : Theorem 0.17s 1.35s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 107 ( 40 ~; 46 |; 11 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 68 ( 3 sgn 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t166_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t166_relat_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(t178_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t178_relat_1) ).
fof(t20_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t20_relat_1) ).
fof(c_0_4,lemma,
! [X5,X6,X7,X9] :
( ( in(esk8_3(X5,X6,X7),relation_rng(X7))
| ~ in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) )
& ( in(ordered_pair(X5,esk8_3(X5,X6,X7)),X7)
| ~ in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) )
& ( in(esk8_3(X5,X6,X7),X6)
| ~ in(X5,relation_inverse_image(X7,X6))
| ~ relation(X7) )
& ( ~ in(X9,relation_rng(X7))
| ~ in(ordered_pair(X5,X9),X7)
| ~ in(X9,X6)
| in(X5,relation_inverse_image(X7,X6))
| ~ 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)],[t166_relat_1])])])])])])]) ).
fof(c_0_5,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk4_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk4_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_6,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) ) ),
inference(assume_negation,[status(cth)],[t178_relat_1]) ).
fof(c_0_7,lemma,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) )
& ( in(X5,relation_rng(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_8,lemma,
( in(ordered_pair(X2,esk8_3(X2,X3,X1)),X1)
| ~ relation(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
( relation(esk3_0)
& subset(esk1_0,esk2_0)
& ~ subset(relation_inverse_image(esk3_0,esk1_0),relation_inverse_image(esk3_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,lemma,
( in(esk8_3(X2,X3,X1),X3)
| ~ relation(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,lemma,
( in(X2,relation_inverse_image(X1,X3))
| ~ relation(X1)
| ~ in(X4,X3)
| ~ in(ordered_pair(X2,X4),X1)
| ~ in(X4,relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,lemma,
( in(X3,relation_rng(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,lemma,
( subset(relation_inverse_image(X1,X2),X3)
| in(ordered_pair(esk4_2(relation_inverse_image(X1,X2),X3),esk8_3(esk4_2(relation_inverse_image(X1,X2),X3),X2,X1)),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,lemma,
( subset(relation_inverse_image(X1,X2),X3)
| in(esk8_3(esk4_2(relation_inverse_image(X1,X2),X3),X2,X1),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_19,lemma,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),X2)
| ~ in(X4,X3) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( subset(relation_inverse_image(esk3_0,X1),X2)
| in(ordered_pair(esk4_2(relation_inverse_image(esk3_0,X1),X2),esk8_3(esk4_2(relation_inverse_image(esk3_0,X1),X2),X1,esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( in(X1,esk2_0)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( subset(relation_inverse_image(esk3_0,X1),X2)
| in(esk8_3(esk4_2(relation_inverse_image(esk3_0,X1),X2),X1,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_23,lemma,
( subset(relation_inverse_image(esk3_0,X1),X2)
| in(esk4_2(relation_inverse_image(esk3_0,X1),X2),relation_inverse_image(esk3_0,X3))
| ~ in(esk8_3(esk4_2(relation_inverse_image(esk3_0,X1),X2),X1,esk3_0),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_15])]) ).
cnf(c_0_24,negated_conjecture,
( subset(relation_inverse_image(esk3_0,esk1_0),X1)
| in(esk8_3(esk4_2(relation_inverse_image(esk3_0,esk1_0),X1),esk1_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
( subset(relation_inverse_image(esk3_0,esk1_0),X1)
| in(esk4_2(relation_inverse_image(esk3_0,esk1_0),X1),relation_inverse_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
~ subset(relation_inverse_image(esk3_0,esk1_0),relation_inverse_image(esk3_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU211+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : run_ET %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sat Jun 18 23:43:48 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.17/1.35 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.17/1.35 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.17/1.35 # Preprocessing time : 0.019 s
% 0.17/1.35
% 0.17/1.35 # Proof found!
% 0.17/1.35 # SZS status Theorem
% 0.17/1.35 # SZS output start CNFRefutation
% See solution above
% 0.17/1.35 # Proof object total steps : 29
% 0.17/1.35 # Proof object clause steps : 20
% 0.17/1.35 # Proof object formula steps : 9
% 0.17/1.35 # Proof object conjectures : 12
% 0.17/1.35 # Proof object clause conjectures : 9
% 0.17/1.35 # Proof object formula conjectures : 3
% 0.17/1.35 # Proof object initial clauses used : 10
% 0.17/1.35 # Proof object initial formulas used : 4
% 0.17/1.35 # Proof object generating inferences : 9
% 0.17/1.35 # Proof object simplifying inferences : 4
% 0.17/1.35 # Training examples: 0 positive, 0 negative
% 0.17/1.35 # Parsed axioms : 208
% 0.17/1.35 # Removed by relevancy pruning/SinE : 174
% 0.17/1.35 # Initial clauses : 72
% 0.17/1.35 # Removed in clause preprocessing : 2
% 0.17/1.35 # Initial clauses in saturation : 70
% 0.17/1.35 # Processed clauses : 5139
% 0.17/1.35 # ...of these trivial : 2106
% 0.17/1.35 # ...subsumed : 1400
% 0.17/1.35 # ...remaining for further processing : 1633
% 0.17/1.35 # Other redundant clauses eliminated : 2
% 0.17/1.35 # Clauses deleted for lack of memory : 0
% 0.17/1.35 # Backward-subsumed : 36
% 0.17/1.35 # Backward-rewritten : 1
% 0.17/1.35 # Generated clauses : 10249
% 0.17/1.35 # ...of the previous two non-trivial : 9995
% 0.17/1.35 # Contextual simplify-reflections : 1849
% 0.17/1.35 # Paramodulations : 9963
% 0.17/1.35 # Factorizations : 26
% 0.17/1.35 # Equation resolutions : 260
% 0.17/1.35 # Current number of processed clauses : 1594
% 0.17/1.35 # Positive orientable unit clauses : 11
% 0.17/1.35 # Positive unorientable unit clauses: 0
% 0.17/1.35 # Negative unit clauses : 2
% 0.17/1.35 # Non-unit-clauses : 1581
% 0.17/1.35 # Current number of unprocessed clauses: 4611
% 0.17/1.35 # ...number of literals in the above : 19228
% 0.17/1.35 # Current number of archived formulas : 0
% 0.17/1.35 # Current number of archived clauses : 37
% 0.17/1.35 # Clause-clause subsumption calls (NU) : 397179
% 0.17/1.35 # Rec. Clause-clause subsumption calls : 208095
% 0.17/1.35 # Non-unit clause-clause subsumptions : 3248
% 0.17/1.35 # Unit Clause-clause subsumption calls : 21
% 0.17/1.35 # Rewrite failures with RHS unbound : 0
% 0.17/1.35 # BW rewrite match attempts : 5
% 0.17/1.35 # BW rewrite match successes : 1
% 0.17/1.35 # Condensation attempts : 0
% 0.17/1.35 # Condensation successes : 0
% 0.17/1.35 # Termbank termtop insertions : 340303
% 0.17/1.35
% 0.17/1.35 # -------------------------------------------------
% 0.17/1.35 # User time : 0.694 s
% 0.17/1.35 # System time : 0.009 s
% 0.17/1.35 # Total time : 0.703 s
% 0.17/1.35 # Maximum resident set size: 11792 pages
% 0.17/23.34 eprover: CPU time limit exceeded, terminating
% 0.17/23.35 eprover: CPU time limit exceeded, terminating
% 0.17/23.35 eprover: CPU time limit exceeded, terminating
% 0.17/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.36 eprover: No such file or directory
% 0.17/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.36 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.41 eprover: No such file or directory
%------------------------------------------------------------------------------