TSTP Solution File: SEU203+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU203+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 09:17:46 EDT 2022
% Result : Theorem 0.13s 1.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 108 ( 11 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 135 ( 52 ~; 58 |; 16 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 56 ( 4 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t143_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_dom(X3))
& in(ordered_pair(X4,X1),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t143_relat_1) ).
fof(d13_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d13_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_3,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_dom(X3))
& in(ordered_pair(X4,X1),X3)
& in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t143_relat_1]) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(ordered_pair(esk21_4(X6,X7,X8,X9),X9),X6)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( in(esk21_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X11,X9),X6)
| ~ in(X11,X7)
| in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(esk22_3(X6,X7,X8),X8)
| ~ in(ordered_pair(X13,esk22_3(X6,X7,X8)),X6)
| ~ in(X13,X7)
| X8 = relation_image(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk23_3(X6,X7,X8),esk22_3(X6,X7,X8)),X6)
| in(esk22_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6) )
& ( in(esk23_3(X6,X7,X8),X7)
| in(esk22_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(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)],[d13_relat_1])])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X8] :
( relation(esk3_0)
& ( ~ in(esk1_0,relation_image(esk3_0,esk2_0))
| ~ in(X8,relation_dom(esk3_0))
| ~ in(ordered_pair(X8,esk1_0),esk3_0)
| ~ in(X8,esk2_0) )
& ( in(esk4_0,relation_dom(esk3_0))
| in(esk1_0,relation_image(esk3_0,esk2_0)) )
& ( in(ordered_pair(esk4_0,esk1_0),esk3_0)
| in(esk1_0,relation_image(esk3_0,esk2_0)) )
& ( in(esk4_0,esk2_0)
| in(esk1_0,relation_image(esk3_0,esk2_0)) ) ),
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)],[c_0_3])])])])])])]) ).
cnf(c_0_6,plain,
( in(X4,X2)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk1_0,relation_image(esk3_0,esk2_0))
| in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( in(esk1_0,relation_image(esk3_0,esk2_0))
| in(esk1_0,X1)
| X1 != relation_image(esk3_0,X2)
| ~ in(esk4_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_10,negated_conjecture,
( in(esk1_0,relation_image(esk3_0,esk2_0))
| in(esk1_0,relation_image(esk3_0,X1))
| ~ in(esk4_0,X1) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( in(esk1_0,relation_image(esk3_0,esk2_0))
| in(esk4_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( in(ordered_pair(esk21_4(X1,X3,X2,X4),X4),X1)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( in(esk21_4(X1,X3,X2,X4),X3)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( ~ in(X1,esk2_0)
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
in(esk1_0,relation_image(esk3_0,esk2_0)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( in(ordered_pair(esk21_4(X1,X2,relation_image(X1,X2),X3),X3),X1)
| ~ relation(X1)
| ~ in(X3,relation_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( in(esk21_4(X1,X2,relation_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ in(X3,relation_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_13]) ).
fof(c_0_18,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_19,negated_conjecture,
( ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_20,negated_conjecture,
in(ordered_pair(esk21_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_8])]) ).
cnf(c_0_21,negated_conjecture,
in(esk21_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_8])]) ).
cnf(c_0_22,lemma,
( in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ in(esk21_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,lemma,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_8])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SEU203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.08 % Command : run_ET %s %d
% 0.07/0.27 % Computer : n013.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Sun Jun 19 21:47:44 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.13/1.32 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.13/1.32 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.13/1.32 # Preprocessing time : 0.013 s
% 0.13/1.32
% 0.13/1.32 # Proof found!
% 0.13/1.32 # SZS status Theorem
% 0.13/1.32 # SZS output start CNFRefutation
% See solution above
% 0.13/1.32 # Proof object total steps : 25
% 0.13/1.32 # Proof object clause steps : 18
% 0.13/1.32 # Proof object formula steps : 7
% 0.13/1.32 # Proof object conjectures : 14
% 0.13/1.32 # Proof object clause conjectures : 11
% 0.13/1.32 # Proof object formula conjectures : 3
% 0.13/1.32 # Proof object initial clauses used : 8
% 0.13/1.32 # Proof object initial formulas used : 3
% 0.13/1.32 # Proof object generating inferences : 9
% 0.13/1.32 # Proof object simplifying inferences : 13
% 0.13/1.32 # Training examples: 0 positive, 0 negative
% 0.13/1.32 # Parsed axioms : 198
% 0.13/1.32 # Removed by relevancy pruning/SinE : 154
% 0.13/1.32 # Initial clauses : 88
% 0.13/1.32 # Removed in clause preprocessing : 2
% 0.13/1.32 # Initial clauses in saturation : 86
% 0.13/1.32 # Processed clauses : 319
% 0.13/1.32 # ...of these trivial : 1
% 0.13/1.32 # ...subsumed : 65
% 0.13/1.32 # ...remaining for further processing : 252
% 0.13/1.32 # Other redundant clauses eliminated : 2
% 0.13/1.32 # Clauses deleted for lack of memory : 0
% 0.13/1.32 # Backward-subsumed : 0
% 0.13/1.32 # Backward-rewritten : 96
% 0.13/1.32 # Generated clauses : 641
% 0.13/1.32 # ...of the previous two non-trivial : 595
% 0.13/1.32 # Contextual simplify-reflections : 22
% 0.13/1.32 # Paramodulations : 604
% 0.13/1.32 # Factorizations : 2
% 0.13/1.32 # Equation resolutions : 28
% 0.13/1.32 # Current number of processed clauses : 147
% 0.13/1.32 # Positive orientable unit clauses : 19
% 0.13/1.32 # Positive unorientable unit clauses: 0
% 0.13/1.32 # Negative unit clauses : 19
% 0.13/1.32 # Non-unit-clauses : 109
% 0.13/1.32 # Current number of unprocessed clauses: 213
% 0.13/1.32 # ...number of literals in the above : 702
% 0.13/1.32 # Current number of archived formulas : 0
% 0.13/1.32 # Current number of archived clauses : 103
% 0.13/1.32 # Clause-clause subsumption calls (NU) : 4993
% 0.13/1.32 # Rec. Clause-clause subsumption calls : 3088
% 0.13/1.32 # Non-unit clause-clause subsumptions : 81
% 0.13/1.32 # Unit Clause-clause subsumption calls : 235
% 0.13/1.32 # Rewrite failures with RHS unbound : 0
% 0.13/1.32 # BW rewrite match attempts : 6
% 0.13/1.32 # BW rewrite match successes : 5
% 0.13/1.32 # Condensation attempts : 0
% 0.13/1.32 # Condensation successes : 0
% 0.13/1.32 # Termbank termtop insertions : 17043
% 0.13/1.32
% 0.13/1.32 # -------------------------------------------------
% 0.13/1.32 # User time : 0.024 s
% 0.13/1.32 # System time : 0.003 s
% 0.13/1.32 # Total time : 0.027 s
% 0.13/1.32 # Maximum resident set size: 4132 pages
% 0.13/23.31 eprover: CPU time limit exceeded, terminating
% 0.13/23.31 eprover: CPU time limit exceeded, terminating
% 0.13/23.32 eprover: CPU time limit exceeded, terminating
% 0.13/23.32 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.32 eprover: No such file or directory
% 0.13/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.33 eprover: No such file or directory
% 0.13/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.33 eprover: No such file or directory
% 0.13/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.33 eprover: No such file or directory
% 0.13/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.33 eprover: No such file or directory
% 0.13/23.33 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.33 eprover: No such file or directory
% 0.13/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.34 eprover: No such file or directory
% 0.13/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.34 eprover: No such file or directory
% 0.13/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.34 eprover: No such file or directory
% 0.13/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.34 eprover: No such file or directory
% 0.13/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.34 eprover: No such file or directory
% 0.13/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.34 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.35 eprover: No such file or directory
% 0.13/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.36 eprover: No such file or directory
% 0.13/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.36 eprover: No such file or directory
% 0.13/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.36 eprover: No such file or directory
% 0.13/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.36 eprover: No such file or directory
% 0.13/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.36 eprover: No such file or directory
% 0.13/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.36 eprover: No such file or directory
% 0.13/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.37 eprover: No such file or directory
% 0.13/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.37 eprover: No such file or directory
% 0.13/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.37 eprover: No such file or directory
% 0.13/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.37 eprover: No such file or directory
% 0.13/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.37 eprover: No such file or directory
% 0.13/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.13/23.37 eprover: No such file or directory
% 0.13/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.38 eprover: No such file or directory
% 0.13/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.13/23.38 eprover: No such file or directory
%------------------------------------------------------------------------------