TSTP Solution File: SEU009+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 09:16:23 EDT 2022
% Result : Theorem 0.19s 1.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 122 ( 15 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 155 ( 62 ~; 63 |; 20 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 3 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t34_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = identity_relation(X1)
<=> ( relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t34_funct_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_relat_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( relation(identity_relation(X1))
& function(identity_relation(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_funct_1) ).
fof(t40_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_composition(X3,identity_relation(X1))))
<=> ( in(X2,relation_dom(X3))
& in(apply(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t40_funct_1) ).
fof(t21_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t21_funct_1) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ( relation_dom(X5) = X4
| X5 != identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X6,X4)
| apply(X5,X6) = X6
| X5 != identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk4_2(X4,X5),X4)
| relation_dom(X5) != X4
| X5 = identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) )
& ( apply(X5,esk4_2(X4,X5)) != esk4_2(X4,X5)
| relation_dom(X5) != X4
| X5 = identity_relation(X4)
| ~ relation(X5)
| ~ function(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)],[t34_funct_1])])])])])])]) ).
fof(c_0_6,plain,
! [X2] : relation(identity_relation(X2)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_7,plain,
! [X2,X2] :
( relation(identity_relation(X2))
& function(identity_relation(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc2_funct_1])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_composition(X3,identity_relation(X1))))
<=> ( in(X2,relation_dom(X3))
& in(apply(X3,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t40_funct_1]) ).
fof(c_0_9,plain,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(X4,relation_dom(relation_composition(X6,X5)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X6,X4),relation_dom(X5))
| ~ in(X4,relation_dom(relation_composition(X6,X5)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X4,relation_dom(X6))
| ~ in(apply(X6,X4),relation_dom(X5))
| in(X4,relation_dom(relation_composition(X6,X5)))
| ~ relation(X6)
| ~ function(X6)
| ~ relation(X5)
| ~ function(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_1])])])])])]) ).
cnf(c_0_10,plain,
( relation_dom(X1) = X2
| ~ function(X1)
| ~ relation(X1)
| X1 != identity_relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,negated_conjecture,
( relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0))))
| ~ in(esk2_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk2_0),esk1_0) )
& ( in(esk2_0,relation_dom(esk3_0))
| in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0)))) )
& ( in(apply(esk3_0,esk2_0),esk1_0)
| in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_14,plain,
( in(X3,relation_dom(relation_composition(X2,X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(apply(X2,X3),relation_dom(X1))
| ~ in(X3,relation_dom(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
relation_dom(identity_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_16,plain,
( in(X3,relation_dom(X2))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0))))
| in(esk2_0,relation_dom(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( in(X1,relation_dom(relation_composition(X2,identity_relation(X3))))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_11]),c_0_12])]) ).
cnf(c_0_21,negated_conjecture,
( in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0))))
| in(apply(esk3_0,esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
in(esk2_0,relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_11]),c_0_19]),c_0_12])]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(apply(esk3_0,esk2_0),esk1_0)
| ~ in(esk2_0,relation_dom(esk3_0))
| ~ in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( in(apply(X2,X3),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18]),c_0_19]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
( ~ in(esk2_0,relation_dom(relation_composition(esk3_0,identity_relation(esk1_0))))
| ~ in(apply(esk3_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
in(apply(esk3_0,esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_15]),c_0_18]),c_0_11]),c_0_19]),c_0_12])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_25])]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.10/0.34 % Computer : n020.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 600
% 0.10/0.34 % DateTime : Sun Jun 19 05:49:18 EDT 2022
% 0.10/0.34 % CPUTime :
% 0.19/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.19/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.19/1.41 # Preprocessing time : 0.017 s
% 0.19/1.41
% 0.19/1.41 # Proof found!
% 0.19/1.41 # SZS status Theorem
% 0.19/1.41 # SZS output start CNFRefutation
% See solution above
% 0.19/1.41 # Proof object total steps : 29
% 0.19/1.41 # Proof object clause steps : 18
% 0.19/1.41 # Proof object formula steps : 11
% 0.19/1.41 # Proof object conjectures : 13
% 0.19/1.41 # Proof object clause conjectures : 10
% 0.19/1.41 # Proof object formula conjectures : 3
% 0.19/1.41 # Proof object initial clauses used : 11
% 0.19/1.41 # Proof object initial formulas used : 5
% 0.19/1.41 # Proof object generating inferences : 5
% 0.19/1.41 # Proof object simplifying inferences : 27
% 0.19/1.41 # Training examples: 0 positive, 0 negative
% 0.19/1.41 # Parsed axioms : 36
% 0.19/1.41 # Removed by relevancy pruning/SinE : 7
% 0.19/1.41 # Initial clauses : 48
% 0.19/1.41 # Removed in clause preprocessing : 0
% 0.19/1.41 # Initial clauses in saturation : 48
% 0.19/1.41 # Processed clauses : 163
% 0.19/1.41 # ...of these trivial : 1
% 0.19/1.41 # ...subsumed : 47
% 0.19/1.41 # ...remaining for further processing : 114
% 0.19/1.41 # Other redundant clauses eliminated : 2
% 0.19/1.41 # Clauses deleted for lack of memory : 0
% 0.19/1.41 # Backward-subsumed : 1
% 0.19/1.41 # Backward-rewritten : 20
% 0.19/1.41 # Generated clauses : 287
% 0.19/1.41 # ...of the previous two non-trivial : 240
% 0.19/1.41 # Contextual simplify-reflections : 14
% 0.19/1.41 # Paramodulations : 283
% 0.19/1.41 # Factorizations : 0
% 0.19/1.41 # Equation resolutions : 4
% 0.19/1.41 # Current number of processed clauses : 93
% 0.19/1.41 # Positive orientable unit clauses : 21
% 0.19/1.41 # Positive unorientable unit clauses: 0
% 0.19/1.41 # Negative unit clauses : 8
% 0.19/1.41 # Non-unit-clauses : 64
% 0.19/1.41 # Current number of unprocessed clauses: 96
% 0.19/1.41 # ...number of literals in the above : 565
% 0.19/1.41 # Current number of archived formulas : 0
% 0.19/1.41 # Current number of archived clauses : 21
% 0.19/1.41 # Clause-clause subsumption calls (NU) : 2935
% 0.19/1.41 # Rec. Clause-clause subsumption calls : 1053
% 0.19/1.41 # Non-unit clause-clause subsumptions : 37
% 0.19/1.41 # Unit Clause-clause subsumption calls : 285
% 0.19/1.41 # Rewrite failures with RHS unbound : 0
% 0.19/1.41 # BW rewrite match attempts : 7
% 0.19/1.41 # BW rewrite match successes : 7
% 0.19/1.41 # Condensation attempts : 0
% 0.19/1.41 # Condensation successes : 0
% 0.19/1.41 # Termbank termtop insertions : 6796
% 0.19/1.41
% 0.19/1.41 # -------------------------------------------------
% 0.19/1.41 # User time : 0.025 s
% 0.19/1.41 # System time : 0.003 s
% 0.19/1.41 # Total time : 0.028 s
% 0.19/1.41 # Maximum resident set size: 3284 pages
%------------------------------------------------------------------------------