TSTP Solution File: SWW473+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW473+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : Thu Jul 21 00:10:55 EDT 2022
% Result : Theorem 0.26s 1.45s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_6) ).
fof(fact_274_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X11,X5)),X10))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X11),X10))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X5),X10)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_274_insert__subset) ).
fof(fact_261_imageI,axiom,
! [X9,X11,X5] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X11),X5))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X11)),image_pname_a(X9,X5))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_261_imageI) ).
fof(conj_1,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).
fof(c_0_5,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(assume_negation,[status(cth)],[conj_6]) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X12,X13,X14,X12,X13,X14] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X12),X14))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X12,X13)),X14)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X13),X14))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X12,X13)),X14)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X12),X14))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X13),X14))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X12,X13)),X14)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_274_insert__subset])])])])]) ).
fof(c_0_8,plain,
! [X12,X13,X14] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X14))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X12,X13)),image_pname_a(X12,X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_261_imageI])]) ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X2)),X3))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_14,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,pn)),image_pname_a(X1,u))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW473+1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 02:14:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.26/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.45 # Preprocessing time : 0.033 s
% 0.26/1.45
% 0.26/1.45 # Proof found!
% 0.26/1.45 # SZS status Theorem
% 0.26/1.45 # SZS output start CNFRefutation
% See solution above
% 0.26/1.45 # Proof object total steps : 17
% 0.26/1.45 # Proof object clause steps : 8
% 0.26/1.45 # Proof object formula steps : 9
% 0.26/1.45 # Proof object conjectures : 6
% 0.26/1.45 # Proof object clause conjectures : 3
% 0.26/1.45 # Proof object formula conjectures : 3
% 0.26/1.45 # Proof object initial clauses used : 5
% 0.26/1.45 # Proof object initial formulas used : 5
% 0.26/1.45 # Proof object generating inferences : 2
% 0.26/1.45 # Proof object simplifying inferences : 4
% 0.26/1.45 # Training examples: 0 positive, 0 negative
% 0.26/1.45 # Parsed axioms : 449
% 0.26/1.45 # Removed by relevancy pruning/SinE : 348
% 0.26/1.45 # Initial clauses : 141
% 0.26/1.45 # Removed in clause preprocessing : 2
% 0.26/1.45 # Initial clauses in saturation : 139
% 0.26/1.45 # Processed clauses : 160
% 0.26/1.45 # ...of these trivial : 4
% 0.26/1.45 # ...subsumed : 22
% 0.26/1.45 # ...remaining for further processing : 134
% 0.26/1.45 # Other redundant clauses eliminated : 14
% 0.26/1.45 # Clauses deleted for lack of memory : 0
% 0.26/1.45 # Backward-subsumed : 1
% 0.26/1.45 # Backward-rewritten : 1
% 0.26/1.45 # Generated clauses : 415
% 0.26/1.45 # ...of the previous two non-trivial : 286
% 0.26/1.45 # Contextual simplify-reflections : 7
% 0.26/1.45 # Paramodulations : 398
% 0.26/1.45 # Factorizations : 2
% 0.26/1.45 # Equation resolutions : 15
% 0.26/1.45 # Current number of processed clauses : 118
% 0.26/1.45 # Positive orientable unit clauses : 25
% 0.26/1.45 # Positive unorientable unit clauses: 2
% 0.26/1.45 # Negative unit clauses : 3
% 0.26/1.45 # Non-unit-clauses : 88
% 0.26/1.45 # Current number of unprocessed clauses: 264
% 0.26/1.45 # ...number of literals in the above : 794
% 0.26/1.45 # Current number of archived formulas : 0
% 0.26/1.45 # Current number of archived clauses : 2
% 0.26/1.45 # Clause-clause subsumption calls (NU) : 2016
% 0.26/1.45 # Rec. Clause-clause subsumption calls : 1384
% 0.26/1.45 # Non-unit clause-clause subsumptions : 29
% 0.26/1.45 # Unit Clause-clause subsumption calls : 78
% 0.26/1.45 # Rewrite failures with RHS unbound : 0
% 0.26/1.45 # BW rewrite match attempts : 23
% 0.26/1.45 # BW rewrite match successes : 3
% 0.26/1.45 # Condensation attempts : 0
% 0.26/1.45 # Condensation successes : 0
% 0.26/1.45 # Termbank termtop insertions : 22951
% 0.26/1.45
% 0.26/1.45 # -------------------------------------------------
% 0.26/1.45 # User time : 0.044 s
% 0.26/1.45 # System time : 0.006 s
% 0.26/1.45 # Total time : 0.050 s
% 0.26/1.45 # Maximum resident set size: 4964 pages
%------------------------------------------------------------------------------