TSTP Solution File: SEU435+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 09:20:11 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 4 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 30 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t36_relset_2) ).
fof(s8_domain_1__e1_46__relset_2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
& m1_subset_1(X6,k1_zfmisc_1(X4)) )
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s8_domain_1__e1_46__relset_2) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
inference(assume_negation,[status(cth)],[t36_relset_2]) ).
fof(c_0_3,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))))
& m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0))
& ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_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_2])])])])]) ).
fof(c_0_4,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X7,X8))))
| ~ m1_subset_1(X12,k1_zfmisc_1(X10))
| m1_subset_1(a_6_0_relset_2(X7,X8,X9,X10,X11,X12),k1_zfmisc_1(k1_zfmisc_1(X11))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s8_domain_1__e1_46__relset_2])]) ).
cnf(c_0_5,negated_conjecture,
~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5)))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 22:07:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.016 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 10
% 0.24/1.41 # Proof object clause steps : 5
% 0.24/1.41 # Proof object formula steps : 5
% 0.24/1.41 # Proof object conjectures : 7
% 0.24/1.41 # Proof object clause conjectures : 4
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 4
% 0.24/1.41 # Proof object initial formulas used : 2
% 0.24/1.41 # Proof object generating inferences : 1
% 0.24/1.41 # Proof object simplifying inferences : 3
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 51
% 0.24/1.41 # Removed by relevancy pruning/SinE : 29
% 0.24/1.41 # Initial clauses : 32
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 32
% 0.24/1.41 # Processed clauses : 28
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 28
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 37
% 0.24/1.41 # ...of the previous two non-trivial : 32
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 35
% 0.24/1.41 # Factorizations : 2
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 28
% 0.24/1.41 # Positive orientable unit clauses : 9
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 3
% 0.24/1.41 # Non-unit-clauses : 16
% 0.24/1.41 # Current number of unprocessed clauses: 36
% 0.24/1.41 # ...number of literals in the above : 95
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 12
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 12
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 1
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 2654
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.015 s
% 0.24/1.41 # System time : 0.003 s
% 0.24/1.41 # Total time : 0.018 s
% 0.24/1.41 # Maximum resident set size: 3048 pages
%------------------------------------------------------------------------------