TSTP Solution File: SWW473+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW473+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 00:10:56 EDT 2022
% Result : Theorem 0.36s 1.54s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 9 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_434_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_434_imageI) ).
fof(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_6) ).
fof(fact_453_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_453_insert__subset) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(c_0_5,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_434_imageI])]) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_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,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_453_insert__subset])])])])]) ).
cnf(c_0_8,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_5]) ).
cnf(c_0_9,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
fof(c_0_10,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_12,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_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(X1,pn)),X2)),image_pname_a(X1,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_pname_a(X1,u))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,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_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW473+3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.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 : Sat Jun 4 11:52:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.54 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.36/1.54 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.36/1.54 # Preprocessing time : 0.077 s
% 0.36/1.54
% 0.36/1.54 # Proof found!
% 0.36/1.54 # SZS status Theorem
% 0.36/1.54 # SZS output start CNFRefutation
% See solution above
% 0.36/1.54 # Proof object total steps : 17
% 0.36/1.54 # Proof object clause steps : 8
% 0.36/1.54 # Proof object formula steps : 9
% 0.36/1.54 # Proof object conjectures : 5
% 0.36/1.54 # Proof object clause conjectures : 2
% 0.36/1.54 # Proof object formula conjectures : 3
% 0.36/1.54 # Proof object initial clauses used : 5
% 0.36/1.54 # Proof object initial formulas used : 5
% 0.36/1.54 # Proof object generating inferences : 3
% 0.36/1.54 # Proof object simplifying inferences : 2
% 0.36/1.54 # Training examples: 0 positive, 0 negative
% 0.36/1.54 # Parsed axioms : 1415
% 0.36/1.54 # Removed by relevancy pruning/SinE : 1314
% 0.36/1.54 # Initial clauses : 229
% 0.36/1.54 # Removed in clause preprocessing : 4
% 0.36/1.54 # Initial clauses in saturation : 225
% 0.36/1.54 # Processed clauses : 283
% 0.36/1.54 # ...of these trivial : 7
% 0.36/1.54 # ...subsumed : 49
% 0.36/1.54 # ...remaining for further processing : 227
% 0.36/1.54 # Other redundant clauses eliminated : 21
% 0.36/1.54 # Clauses deleted for lack of memory : 0
% 0.36/1.54 # Backward-subsumed : 8
% 0.36/1.54 # Backward-rewritten : 0
% 0.36/1.54 # Generated clauses : 540
% 0.36/1.54 # ...of the previous two non-trivial : 425
% 0.36/1.54 # Contextual simplify-reflections : 12
% 0.36/1.54 # Paramodulations : 511
% 0.36/1.54 # Factorizations : 0
% 0.36/1.54 # Equation resolutions : 30
% 0.36/1.54 # Current number of processed clauses : 208
% 0.36/1.54 # Positive orientable unit clauses : 24
% 0.36/1.54 # Positive unorientable unit clauses: 1
% 0.36/1.54 # Negative unit clauses : 7
% 0.36/1.54 # Non-unit-clauses : 176
% 0.36/1.54 # Current number of unprocessed clauses: 344
% 0.36/1.54 # ...number of literals in the above : 1599
% 0.36/1.54 # Current number of archived formulas : 0
% 0.36/1.54 # Current number of archived clauses : 8
% 0.36/1.54 # Clause-clause subsumption calls (NU) : 8870
% 0.36/1.54 # Rec. Clause-clause subsumption calls : 2261
% 0.36/1.54 # Non-unit clause-clause subsumptions : 52
% 0.36/1.54 # Unit Clause-clause subsumption calls : 620
% 0.36/1.54 # Rewrite failures with RHS unbound : 0
% 0.36/1.54 # BW rewrite match attempts : 71
% 0.36/1.54 # BW rewrite match successes : 1
% 0.36/1.54 # Condensation attempts : 0
% 0.36/1.54 # Condensation successes : 0
% 0.36/1.54 # Termbank termtop insertions : 54652
% 0.36/1.54
% 0.36/1.54 # -------------------------------------------------
% 0.36/1.54 # User time : 0.103 s
% 0.36/1.54 # System time : 0.010 s
% 0.36/1.54 # Total time : 0.113 s
% 0.36/1.54 # Maximum resident set size: 7936 pages
%------------------------------------------------------------------------------