TSTP Solution File: SEU046+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 09:16:35 EDT 2022
% Result : Theorem 0.26s 1.45s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 167 ( 18 equ)
% Maximal formula atoms : 79 ( 6 avg)
% Number of connectives : 233 ( 93 ~; 104 |; 24 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 58 ( 9 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t85_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t85_funct_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.mepo_128.in',d3_tarski) ).
fof(t89_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
& subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t89_funct_1) ).
fof(fc5_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc5_funct_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.mepo_128.in',dt_k8_relat_1) ).
fof(t118_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t118_relat_1) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8,X8,X9] :
( ( in(X8,relation_dom(X7))
| ~ in(X8,relation_dom(X6))
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(apply(X7,X8),X5)
| ~ in(X8,relation_dom(X6))
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X8,relation_dom(X7))
| ~ in(apply(X7,X8),X5)
| in(X8,relation_dom(X6))
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X9,relation_dom(X6))
| apply(X6,X9) = apply(X7,X9)
| X6 != relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk14_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk13_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk13_3(X5,X6,X7),relation_dom(X7))
| ~ in(apply(X7,esk13_3(X5,X6,X7)),X5)
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk14_3(X5,X6,X7)) != apply(X7,esk14_3(X5,X6,X7))
| ~ in(esk13_3(X5,X6,X7),relation_dom(X6))
| ~ in(esk13_3(X5,X6,X7),relation_dom(X7))
| ~ in(apply(X7,esk13_3(X5,X6,X7)),X5)
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk14_3(X5,X6,X7),relation_dom(X6))
| in(esk13_3(X5,X6,X7),relation_dom(X7))
| in(esk13_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk14_3(X5,X6,X7)) != apply(X7,esk14_3(X5,X6,X7))
| in(esk13_3(X5,X6,X7),relation_dom(X7))
| in(esk13_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk14_3(X5,X6,X7),relation_dom(X6))
| in(apply(X7,esk13_3(X5,X6,X7)),X5)
| in(esk13_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk14_3(X5,X6,X7)) != apply(X7,esk14_3(X5,X6,X7))
| in(apply(X7,esk13_3(X5,X6,X7)),X5)
| in(esk13_3(X5,X6,X7),relation_dom(X6))
| X6 = relation_rng_restriction(X5,X7)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(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)],[t85_funct_1])])])])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk1_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_8,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
& subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ) ),
inference(assume_negation,[status(cth)],[t89_funct_1]) ).
cnf(c_0_9,plain,
( in(X4,relation_dom(X2))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| X1 != relation_rng_restriction(X3,X2)
| ~ in(X4,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ( relation(relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ function(X4) )
& ( function(relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])]) ).
fof(c_0_12,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])]) ).
fof(c_0_13,negated_conjecture,
( relation(esk16_0)
& function(esk16_0)
& ( ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0))
| ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_14,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_rng(relation_rng_restriction(X3,X4)),relation_rng(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_relat_1])]) ).
cnf(c_0_15,plain,
( subset(relation_dom(X1),X2)
| in(esk1_2(relation_dom(X1),X2),relation_dom(X3))
| X1 != relation_rng_restriction(X4,X3)
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X3)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,plain,
( function(relation_rng_restriction(X2,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ subset(relation_rng(relation_rng_restriction(esk15_0,esk16_0)),relation_rng(esk16_0))
| ~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),X3)
| in(esk1_2(relation_dom(relation_rng_restriction(X1,X2)),X3),relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk15_0,esk16_0)),relation_dom(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
function(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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_23,c_0_24]),c_0_20]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 12:08:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.45 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/1.45 # Preprocessing time : 0.018 s
% 0.26/1.45
% 0.26/1.45 # Proof found!
% 0.26/1.45 # SZS status Theorem
% 0.26/1.45 # SZS output start CNFRefutation
% See solution above
% 0.26/1.45 # Proof object total steps : 27
% 0.26/1.45 # Proof object clause steps : 14
% 0.26/1.45 # Proof object formula steps : 13
% 0.26/1.45 # Proof object conjectures : 8
% 0.26/1.45 # Proof object clause conjectures : 5
% 0.26/1.45 # Proof object formula conjectures : 3
% 0.26/1.45 # Proof object initial clauses used : 9
% 0.26/1.45 # Proof object initial formulas used : 6
% 0.26/1.45 # Proof object generating inferences : 5
% 0.26/1.45 # Proof object simplifying inferences : 7
% 0.26/1.45 # Training examples: 0 positive, 0 negative
% 0.26/1.45 # Parsed axioms : 38
% 0.26/1.45 # Removed by relevancy pruning/SinE : 0
% 0.26/1.45 # Initial clauses : 70
% 0.26/1.45 # Removed in clause preprocessing : 2
% 0.26/1.45 # Initial clauses in saturation : 68
% 0.26/1.45 # Processed clauses : 366
% 0.26/1.45 # ...of these trivial : 3
% 0.26/1.45 # ...subsumed : 138
% 0.26/1.45 # ...remaining for further processing : 225
% 0.26/1.45 # Other redundant clauses eliminated : 33
% 0.26/1.45 # Clauses deleted for lack of memory : 0
% 0.26/1.45 # Backward-subsumed : 3
% 0.26/1.45 # Backward-rewritten : 24
% 0.26/1.45 # Generated clauses : 957
% 0.26/1.45 # ...of the previous two non-trivial : 845
% 0.26/1.45 # Contextual simplify-reflections : 135
% 0.26/1.45 # Paramodulations : 881
% 0.26/1.45 # Factorizations : 0
% 0.26/1.45 # Equation resolutions : 53
% 0.26/1.45 # Current number of processed clauses : 190
% 0.26/1.45 # Positive orientable unit clauses : 39
% 0.26/1.45 # Positive unorientable unit clauses: 0
% 0.26/1.45 # Negative unit clauses : 21
% 0.26/1.45 # Non-unit-clauses : 130
% 0.26/1.45 # Current number of unprocessed clauses: 500
% 0.26/1.45 # ...number of literals in the above : 2966
% 0.26/1.45 # Current number of archived formulas : 0
% 0.26/1.45 # Current number of archived clauses : 27
% 0.26/1.45 # Clause-clause subsumption calls (NU) : 19083
% 0.26/1.45 # Rec. Clause-clause subsumption calls : 5315
% 0.26/1.45 # Non-unit clause-clause subsumptions : 217
% 0.26/1.45 # Unit Clause-clause subsumption calls : 2048
% 0.26/1.45 # Rewrite failures with RHS unbound : 0
% 0.26/1.45 # BW rewrite match attempts : 62
% 0.26/1.45 # BW rewrite match successes : 13
% 0.26/1.45 # Condensation attempts : 0
% 0.26/1.45 # Condensation successes : 0
% 0.26/1.45 # Termbank termtop insertions : 18877
% 0.26/1.45
% 0.26/1.45 # -------------------------------------------------
% 0.26/1.45 # User time : 0.050 s
% 0.26/1.45 # System time : 0.005 s
% 0.26/1.45 # Total time : 0.055 s
% 0.26/1.45 # Maximum resident set size: 4052 pages
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.45 eprover: CPU time limit exceeded, terminating
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.52 eprover: No such file or directory
% 0.26/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.52 eprover: No such file or directory
% 0.26/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------