TSTP Solution File: SEU096+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 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 09:16:47 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 50 ( 3 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 53 ( 19 ~; 16 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc13_finset_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& finite(X2) )
=> finite(relation_image(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc13_finset_1) ).
fof(t147_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X1,relation_rng(X2))
=> relation_image(X2,relation_inverse_image(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t147_funct_1) ).
fof(t27_finset_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(X1,relation_rng(X2))
& finite(relation_inverse_image(X2,X1)) )
=> finite(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t27_finset_1) ).
fof(c_0_3,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ finite(X4)
| finite(relation_image(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])]) ).
fof(c_0_4,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| ~ subset(X3,relation_rng(X4))
| relation_image(X4,relation_inverse_image(X4,X3)) = X3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t147_funct_1])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(X1,relation_rng(X2))
& finite(relation_inverse_image(X2,X1)) )
=> finite(X1) ) ),
inference(assume_negation,[status(cth)],[t27_finset_1]) ).
cnf(c_0_6,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( relation_image(X1,relation_inverse_image(X1,X2)) = X2
| ~ subset(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( relation(esk2_0)
& function(esk2_0)
& subset(esk1_0,relation_rng(esk2_0))
& finite(relation_inverse_image(esk2_0,esk1_0))
& ~ finite(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( finite(X1)
| ~ subset(X1,relation_rng(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ finite(relation_inverse_image(X2,X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
finite(relation_inverse_image(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
subset(esk1_0,relation_rng(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
~ finite(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 18:46:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.017 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 16
% 0.25/1.43 # Proof object clause steps : 9
% 0.25/1.43 # Proof object formula steps : 7
% 0.25/1.43 # Proof object conjectures : 9
% 0.25/1.43 # Proof object clause conjectures : 6
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 7
% 0.25/1.43 # Proof object initial formulas used : 3
% 0.25/1.43 # Proof object generating inferences : 2
% 0.25/1.43 # Proof object simplifying inferences : 5
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 60
% 0.25/1.43 # Removed by relevancy pruning/SinE : 29
% 0.25/1.43 # Initial clauses : 57
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 57
% 0.25/1.43 # Processed clauses : 103
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 15
% 0.25/1.43 # ...remaining for further processing : 88
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 10
% 0.25/1.43 # Generated clauses : 82
% 0.25/1.43 # ...of the previous two non-trivial : 77
% 0.25/1.43 # Contextual simplify-reflections : 1
% 0.25/1.43 # Paramodulations : 82
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 0
% 0.25/1.43 # Current number of processed clauses : 78
% 0.25/1.43 # Positive orientable unit clauses : 26
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 10
% 0.25/1.43 # Non-unit-clauses : 42
% 0.25/1.43 # Current number of unprocessed clauses: 16
% 0.25/1.43 # ...number of literals in the above : 46
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 10
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 180
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 148
% 0.25/1.43 # Non-unit clause-clause subsumptions : 6
% 0.25/1.43 # Unit Clause-clause subsumption calls : 126
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 8
% 0.25/1.43 # BW rewrite match successes : 4
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 3392
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.020 s
% 0.25/1.43 # System time : 0.001 s
% 0.25/1.43 # Total time : 0.021 s
% 0.25/1.43 # Maximum resident set size: 3052 pages
%------------------------------------------------------------------------------