TSTP Solution File: SEU020+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:16:26 EDT 2022
% Result : Theorem 0.26s 1.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 75 ( 13 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 76 ( 26 ~; 22 |; 18 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t53_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ? [X2] :
( relation(X2)
& function(X2)
& relation_composition(X1,X2) = identity_relation(relation_dom(X1)) )
=> one_to_one(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t53_funct_1) ).
fof(t52_funct_1,axiom,
! [X1] : one_to_one(identity_relation(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t52_funct_1) ).
fof(t47_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(relation_composition(X2,X1))
& subset(relation_rng(X2),relation_dom(X1)) )
=> one_to_one(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t47_funct_1) ).
fof(t71_relat_1,axiom,
! [X1] :
( relation_dom(identity_relation(X1)) = X1
& relation_rng(identity_relation(X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t71_relat_1) ).
fof(t27_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_dom(relation_composition(X2,X1)) = relation_dom(X2)
=> subset(relation_rng(X2),relation_dom(X1)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t27_funct_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ? [X2] :
( relation(X2)
& function(X2)
& relation_composition(X1,X2) = identity_relation(relation_dom(X1)) )
=> one_to_one(X1) ) ),
inference(assume_negation,[status(cth)],[t53_funct_1]) ).
fof(c_0_6,plain,
! [X2] : one_to_one(identity_relation(X2)),
inference(variable_rename,[status(thm)],[t52_funct_1]) ).
fof(c_0_7,negated_conjecture,
( relation(esk1_0)
& function(esk1_0)
& relation(esk2_0)
& function(esk2_0)
& relation_composition(esk1_0,esk2_0) = identity_relation(relation_dom(esk1_0))
& ~ one_to_one(esk1_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])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4)
| ~ one_to_one(relation_composition(X4,X3))
| ~ subset(relation_rng(X4),relation_dom(X3))
| one_to_one(X4) ),
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)],[t47_funct_1])])])])]) ).
cnf(c_0_9,plain,
one_to_one(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation_composition(esk1_0,esk2_0) = identity_relation(relation_dom(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X2,X2] :
( relation_dom(identity_relation(X2)) = X2
& relation_rng(identity_relation(X2)) = X2 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[t71_relat_1])])]) ).
cnf(c_0_12,plain,
( one_to_one(X1)
| ~ subset(relation_rng(X1),relation_dom(X2))
| ~ one_to_one(relation_composition(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
one_to_one(relation_composition(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
~ one_to_one(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ relation(X4)
| ~ function(X4)
| relation_dom(relation_composition(X4,X3)) != relation_dom(X4)
| subset(relation_rng(X4),relation_dom(X3)) ),
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)],[t27_funct_1])])])])]) ).
cnf(c_0_20,plain,
relation_dom(identity_relation(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
~ subset(relation_rng(esk1_0),relation_dom(esk2_0)),
inference(sr,[status(thm)],[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_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_22,plain,
( subset(relation_rng(X1),relation_dom(X2))
| relation_dom(relation_composition(X1,X2)) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
relation_dom(relation_composition(esk1_0,esk2_0)) = relation_dom(esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[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_21,c_0_22]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 10:53:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.26/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.43 # Preprocessing time : 0.017 s
% 0.26/1.43
% 0.26/1.43 # Proof found!
% 0.26/1.43 # SZS status Theorem
% 0.26/1.43 # SZS output start CNFRefutation
% See solution above
% 0.26/1.43 # Proof object total steps : 25
% 0.26/1.43 # Proof object clause steps : 14
% 0.26/1.43 # Proof object formula steps : 11
% 0.26/1.43 # Proof object conjectures : 13
% 0.26/1.43 # Proof object clause conjectures : 10
% 0.26/1.43 # Proof object formula conjectures : 3
% 0.26/1.43 # Proof object initial clauses used : 10
% 0.26/1.43 # Proof object initial formulas used : 5
% 0.26/1.43 # Proof object generating inferences : 4
% 0.26/1.43 # Proof object simplifying inferences : 13
% 0.26/1.43 # Training examples: 0 positive, 0 negative
% 0.26/1.43 # Parsed axioms : 40
% 0.26/1.43 # Removed by relevancy pruning/SinE : 5
% 0.26/1.43 # Initial clauses : 53
% 0.26/1.43 # Removed in clause preprocessing : 0
% 0.26/1.43 # Initial clauses in saturation : 53
% 0.26/1.43 # Processed clauses : 75
% 0.26/1.43 # ...of these trivial : 1
% 0.26/1.43 # ...subsumed : 6
% 0.26/1.43 # ...remaining for further processing : 67
% 0.26/1.43 # Other redundant clauses eliminated : 0
% 0.26/1.43 # Clauses deleted for lack of memory : 0
% 0.26/1.43 # Backward-subsumed : 0
% 0.26/1.43 # Backward-rewritten : 5
% 0.26/1.43 # Generated clauses : 63
% 0.26/1.43 # ...of the previous two non-trivial : 60
% 0.26/1.43 # Contextual simplify-reflections : 2
% 0.26/1.43 # Paramodulations : 63
% 0.26/1.43 # Factorizations : 0
% 0.26/1.43 # Equation resolutions : 0
% 0.26/1.43 # Current number of processed clauses : 62
% 0.26/1.43 # Positive orientable unit clauses : 25
% 0.26/1.43 # Positive unorientable unit clauses: 0
% 0.26/1.43 # Negative unit clauses : 6
% 0.26/1.43 # Non-unit-clauses : 31
% 0.26/1.43 # Current number of unprocessed clauses: 29
% 0.26/1.43 # ...number of literals in the above : 80
% 0.26/1.43 # Current number of archived formulas : 0
% 0.26/1.43 # Current number of archived clauses : 5
% 0.26/1.43 # Clause-clause subsumption calls (NU) : 211
% 0.26/1.43 # Rec. Clause-clause subsumption calls : 93
% 0.26/1.43 # Non-unit clause-clause subsumptions : 8
% 0.26/1.43 # Unit Clause-clause subsumption calls : 15
% 0.26/1.43 # Rewrite failures with RHS unbound : 0
% 0.26/1.43 # BW rewrite match attempts : 6
% 0.26/1.43 # BW rewrite match successes : 2
% 0.26/1.43 # Condensation attempts : 0
% 0.26/1.43 # Condensation successes : 0
% 0.26/1.43 # Termbank termtop insertions : 3288
% 0.26/1.43
% 0.26/1.43 # -------------------------------------------------
% 0.26/1.43 # User time : 0.019 s
% 0.26/1.43 # System time : 0.001 s
% 0.26/1.43 # Total time : 0.020 s
% 0.26/1.43 # Maximum resident set size: 3032 pages
%------------------------------------------------------------------------------