TSTP Solution File: SEU242+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 09:18:13 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 4 unt; 0 def)
% Number of atoms : 153 ( 18 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 198 ( 77 ~; 89 |; 24 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d6_relat_2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_connected_in(X1,X2)
<=> ! [X3,X4] :
~ ( in(X3,X2)
& in(X4,X2)
& X3 != X4
& ~ in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d6_relat_2) ).
fof(d14_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> is_connected_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d14_relat_2) ).
fof(l4_wellord1,conjecture,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l4_wellord1) ).
fof(c_0_3,plain,
! [X5,X6,X7,X8,X6] :
( ( ~ is_connected_in(X5,X6)
| ~ in(X7,X6)
| ~ in(X8,X6)
| X7 = X8
| in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X8,X7),X5)
| ~ relation(X5) )
& ( in(esk6_2(X5,X6),X6)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( in(esk7_2(X5,X6),X6)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( esk6_2(X5,X6) != esk7_2(X5,X6)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk6_2(X5,X6),esk7_2(X5,X6)),X5)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk7_2(X5,X6),esk6_2(X5,X6)),X5)
| is_connected_in(X5,X6)
| ~ relation(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)],[inference(fof_simplification,[status(thm)],[d6_relat_2])])])])])])])]) ).
fof(c_0_4,plain,
! [X2] :
( ( ~ connected(X2)
| is_connected_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_connected_in(X2,relation_field(X2))
| connected(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_relat_2])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[l4_wellord1]) ).
cnf(c_0_6,plain,
( in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X3,X2),X1)
| X3 = X2
| ~ relation(X1)
| ~ in(X2,X4)
| ~ in(X3,X4)
| ~ is_connected_in(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( is_connected_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
! [X7,X8] :
( relation(esk1_0)
& ( in(esk2_0,relation_field(esk1_0))
| ~ connected(esk1_0) )
& ( in(esk3_0,relation_field(esk1_0))
| ~ connected(esk1_0) )
& ( esk2_0 != esk3_0
| ~ connected(esk1_0) )
& ( ~ in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ connected(esk1_0) )
& ( ~ in(ordered_pair(esk3_0,esk2_0),esk1_0)
| ~ connected(esk1_0) )
& ( connected(esk1_0)
| ~ in(X7,relation_field(esk1_0))
| ~ in(X8,relation_field(esk1_0))
| X7 = X8
| in(ordered_pair(X7,X8),esk1_0)
| in(ordered_pair(X8,X7),esk1_0) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| in(ordered_pair(X2,X1),X3)
| in(ordered_pair(X1,X2),X3)
| ~ connected(X3)
| ~ relation(X3)
| ~ in(X2,relation_field(X3))
| ~ in(X1,relation_field(X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( in(esk3_0,relation_field(esk1_0))
| ~ connected(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( X1 = esk3_0
| in(ordered_pair(X1,esk3_0),esk1_0)
| in(ordered_pair(esk3_0,X1),esk1_0)
| ~ connected(esk1_0)
| ~ in(X1,relation_field(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,negated_conjecture,
( in(esk2_0,relation_field(esk1_0))
| ~ connected(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ connected(esk1_0)
| ~ in(ordered_pair(esk3_0,esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( ~ connected(esk1_0)
| ~ in(ordered_pair(esk2_0,esk3_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( ~ connected(esk1_0)
| esk2_0 != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( in(ordered_pair(X1,X2),esk1_0)
| in(ordered_pair(X2,X1),esk1_0)
| X2 = X1
| connected(esk1_0)
| ~ in(X1,relation_field(esk1_0))
| ~ in(X2,relation_field(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( is_connected_in(X1,X2)
| in(esk6_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,negated_conjecture,
~ connected(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( X1 = esk6_2(X2,relation_field(esk1_0))
| is_connected_in(X2,relation_field(esk1_0))
| in(ordered_pair(esk6_2(X2,relation_field(esk1_0)),X1),esk1_0)
| in(ordered_pair(X1,esk6_2(X2,relation_field(esk1_0))),esk1_0)
| ~ relation(X2)
| ~ in(X1,relation_field(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,plain,
( is_connected_in(X1,X2)
| in(esk7_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( esk7_2(X1,relation_field(esk1_0)) = esk6_2(X2,relation_field(esk1_0))
| is_connected_in(X1,relation_field(esk1_0))
| is_connected_in(X2,relation_field(esk1_0))
| in(ordered_pair(esk7_2(X1,relation_field(esk1_0)),esk6_2(X2,relation_field(esk1_0))),esk1_0)
| in(ordered_pair(esk6_2(X2,relation_field(esk1_0)),esk7_2(X1,relation_field(esk1_0))),esk1_0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(esk7_2(X1,X2),esk6_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( esk7_2(X1,relation_field(esk1_0)) = esk6_2(esk1_0,relation_field(esk1_0))
| is_connected_in(esk1_0,relation_field(esk1_0))
| is_connected_in(X1,relation_field(esk1_0))
| in(ordered_pair(esk6_2(esk1_0,relation_field(esk1_0)),esk7_2(X1,relation_field(esk1_0))),esk1_0)
| in(ordered_pair(esk7_2(X1,relation_field(esk1_0)),esk6_2(esk1_0,relation_field(esk1_0))),esk1_0)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_11]) ).
cnf(c_0_25,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( esk7_2(esk1_0,relation_field(esk1_0)) = esk6_2(esk1_0,relation_field(esk1_0))
| is_connected_in(esk1_0,relation_field(esk1_0))
| in(ordered_pair(esk6_2(esk1_0,relation_field(esk1_0)),esk7_2(esk1_0,relation_field(esk1_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_11])]) ).
cnf(c_0_27,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| esk6_2(X1,X2) != esk7_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( esk7_2(esk1_0,relation_field(esk1_0)) = esk6_2(esk1_0,relation_field(esk1_0))
| is_connected_in(esk1_0,relation_field(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_11])]) ).
cnf(c_0_29,plain,
( connected(X1)
| ~ relation(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
is_connected_in(esk1_0,relation_field(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_11])]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_11])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 21:45:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.015 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 32
% 0.23/1.40 # Proof object clause steps : 25
% 0.23/1.40 # Proof object formula steps : 7
% 0.23/1.40 # Proof object conjectures : 19
% 0.23/1.40 # Proof object clause conjectures : 16
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 15
% 0.23/1.40 # Proof object initial formulas used : 3
% 0.23/1.40 # Proof object generating inferences : 10
% 0.23/1.40 # Proof object simplifying inferences : 15
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 36
% 0.23/1.40 # Removed by relevancy pruning/SinE : 27
% 0.23/1.40 # Initial clauses : 21
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 21
% 0.23/1.40 # Processed clauses : 60
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 15
% 0.23/1.40 # ...remaining for further processing : 45
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 1
% 0.23/1.40 # Backward-rewritten : 2
% 0.23/1.40 # Generated clauses : 57
% 0.23/1.40 # ...of the previous two non-trivial : 53
% 0.23/1.40 # Contextual simplify-reflections : 11
% 0.23/1.40 # Paramodulations : 57
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 42
% 0.23/1.40 # Positive orientable unit clauses : 3
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 3
% 0.23/1.40 # Non-unit-clauses : 36
% 0.23/1.40 # Current number of unprocessed clauses: 6
% 0.23/1.40 # ...number of literals in the above : 44
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 3
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 1227
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 132
% 0.23/1.40 # Non-unit clause-clause subsumptions : 16
% 0.23/1.40 # Unit Clause-clause subsumption calls : 15
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 1
% 0.23/1.40 # BW rewrite match successes : 1
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 3299
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.023 s
% 0.23/1.40 # System time : 0.001 s
% 0.23/1.40 # Total time : 0.024 s
% 0.23/1.40 # Maximum resident set size: 2984 pages
%------------------------------------------------------------------------------