TSTP Solution File: SEU179+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU179+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 09:17:31 EDT 2022
% Result : Theorem 0.35s 23.53s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 126 ( 16 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 149 ( 57 ~; 61 |; 15 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 72 ( 8 sgn 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t25_relat_1,conjecture,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t25_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(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d5_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(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/sandbox/solver/bin/../tmp/theBenchmark.p',d4_relat_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t25_relat_1]) ).
fof(c_0_6,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_7,negated_conjecture,
( relation(esk1_0)
& relation(esk2_0)
& subset(esk1_0,esk2_0)
& ( ~ subset(relation_dom(esk1_0),relation_dom(esk2_0))
| ~ subset(relation_rng(esk1_0),relation_rng(esk2_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_5])])])])]) ).
cnf(c_0_8,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(esk4_3(X5,X6,X7),X7),X5)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(esk5_2(X5,X6),X6)
| ~ in(ordered_pair(X11,esk5_2(X5,X6)),X5)
| X6 = relation_rng(X5)
| ~ relation(X5) )
& ( in(esk5_2(X5,X6),X6)
| in(ordered_pair(esk6_2(X5,X6),esk5_2(X5,X6)),X5)
| X6 = relation_rng(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)],[d5_relat_1])])])])])])]) ).
fof(c_0_11,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_12,negated_conjecture,
( in(X1,esk2_0)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( in(ordered_pair(esk4_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk7_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(esk8_2(X5,X6),X6)
| ~ in(ordered_pair(esk8_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk8_2(X5,X6),X6)
| in(ordered_pair(esk8_2(X5,X6),esk9_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])])])])])])]) ).
cnf(c_0_16,lemma,
( in(X3,relation_rng(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( in(ordered_pair(esk4_3(esk1_0,X1,X2),X2),esk2_0)
| X1 != relation_rng(esk1_0)
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_18,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( in(ordered_pair(X3,esk7_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,lemma,
( in(X1,relation_rng(esk2_0))
| X2 != relation_rng(esk1_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,lemma,
( in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( in(ordered_pair(X1,esk7_3(esk1_0,X2,X1)),esk2_0)
| X2 != relation_dom(esk1_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_14])]) ).
cnf(c_0_23,lemma,
( in(X1,relation_rng(esk2_0))
| ~ in(X1,relation_rng(esk1_0)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,lemma,
( in(X1,relation_dom(esk2_0))
| X2 != relation_dom(esk1_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18])]) ).
cnf(c_0_26,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,lemma,
( subset(relation_rng(esk1_0),X1)
| in(esk3_2(relation_rng(esk1_0),X1),relation_rng(esk2_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,lemma,
( in(X1,relation_dom(esk2_0))
| ~ in(X1,relation_dom(esk1_0)) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ subset(relation_rng(esk1_0),relation_rng(esk2_0))
| ~ subset(relation_dom(esk1_0),relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,lemma,
subset(relation_rng(esk1_0),relation_rng(esk2_0)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,lemma,
( subset(relation_dom(esk1_0),X1)
| in(esk3_2(relation_dom(esk1_0),X1),relation_dom(esk2_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
~ subset(relation_dom(esk1_0),relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_33,lemma,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 14:08:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.53 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.35/23.53
% 0.35/23.53 # Failure: Resource limit exceeded (time)
% 0.35/23.53 # OLD status Res
% 0.35/23.53 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.35/23.53 # Preprocessing time : 0.020 s
% 0.35/23.53 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.35/23.53 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.35/23.53 # Preprocessing time : 0.011 s
% 0.35/23.53
% 0.35/23.53 # Proof found!
% 0.35/23.53 # SZS status Theorem
% 0.35/23.53 # SZS output start CNFRefutation
% See solution above
% 0.35/23.53 # Proof object total steps : 34
% 0.35/23.53 # Proof object clause steps : 23
% 0.35/23.53 # Proof object formula steps : 11
% 0.35/23.53 # Proof object conjectures : 11
% 0.35/23.53 # Proof object clause conjectures : 8
% 0.35/23.53 # Proof object formula conjectures : 3
% 0.35/23.53 # Proof object initial clauses used : 11
% 0.35/23.53 # Proof object initial formulas used : 5
% 0.35/23.53 # Proof object generating inferences : 11
% 0.35/23.53 # Proof object simplifying inferences : 11
% 0.35/23.53 # Training examples: 0 positive, 0 negative
% 0.35/23.53 # Parsed axioms : 146
% 0.35/23.53 # Removed by relevancy pruning/SinE : 135
% 0.35/23.53 # Initial clauses : 28
% 0.35/23.53 # Removed in clause preprocessing : 0
% 0.35/23.53 # Initial clauses in saturation : 28
% 0.35/23.53 # Processed clauses : 88
% 0.35/23.53 # ...of these trivial : 1
% 0.35/23.53 # ...subsumed : 5
% 0.35/23.53 # ...remaining for further processing : 82
% 0.35/23.53 # Other redundant clauses eliminated : 2
% 0.35/23.53 # Clauses deleted for lack of memory : 0
% 0.35/23.53 # Backward-subsumed : 2
% 0.35/23.53 # Backward-rewritten : 1
% 0.35/23.53 # Generated clauses : 228
% 0.35/23.53 # ...of the previous two non-trivial : 214
% 0.35/23.53 # Contextual simplify-reflections : 2
% 0.35/23.53 # Paramodulations : 221
% 0.35/23.53 # Factorizations : 0
% 0.35/23.53 # Equation resolutions : 7
% 0.35/23.53 # Current number of processed clauses : 77
% 0.35/23.53 # Positive orientable unit clauses : 7
% 0.35/23.53 # Positive unorientable unit clauses: 0
% 0.35/23.53 # Negative unit clauses : 1
% 0.35/23.53 # Non-unit-clauses : 69
% 0.35/23.53 # Current number of unprocessed clauses: 154
% 0.35/23.53 # ...number of literals in the above : 869
% 0.35/23.53 # Current number of archived formulas : 0
% 0.35/23.53 # Current number of archived clauses : 3
% 0.35/23.53 # Clause-clause subsumption calls (NU) : 615
% 0.35/23.53 # Rec. Clause-clause subsumption calls : 341
% 0.35/23.53 # Non-unit clause-clause subsumptions : 9
% 0.35/23.53 # Unit Clause-clause subsumption calls : 7
% 0.35/23.53 # Rewrite failures with RHS unbound : 0
% 0.35/23.53 # BW rewrite match attempts : 4
% 0.35/23.53 # BW rewrite match successes : 1
% 0.35/23.53 # Condensation attempts : 0
% 0.35/23.53 # Condensation successes : 0
% 0.35/23.53 # Termbank termtop insertions : 7611
% 0.35/23.53
% 0.35/23.53 # -------------------------------------------------
% 0.35/23.53 # User time : 0.013 s
% 0.35/23.53 # System time : 0.002 s
% 0.35/23.53 # Total time : 0.016 s
% 0.35/23.53 # Maximum resident set size: 3448 pages
% 0.35/46.42 eprover: CPU time limit exceeded, terminating
% 0.35/46.43 eprover: CPU time limit exceeded, terminating
% 0.35/46.44 eprover: CPU time limit exceeded, terminating
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------