TSTP Solution File: SWW473+5 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW473+5 : TPTP v8.1.0. Released v5.3.0.
% 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 : Thu Jul 21 00:10:56 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 14 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 34 ( 4 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_84_insert__subset,axiom,
! [X1,X14,X8,X13] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X14),X8)),X13))
<=> ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X14),X13))
& hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X8),X13)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_84_insert__subset) ).
fof(fact_78_imageI,axiom,
! [X2,X1,X12,X14,X8] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X14),X8))
=> hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),hAPP(X1,X2,X12,X14)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X12),X8))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_78_imageI) ).
fof(conj_6,conjecture,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_6) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_1) ).
fof(conj_4,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_4) ).
fof(c_0_5,plain,
! [X15,X16,X17,X18,X15,X16,X17,X18] :
( ( hBOOL(hAPP(fun(X15,bool),bool,hAPP(X15,fun(fun(X15,bool),bool),member(X15),X16),X18))
| ~ hBOOL(hAPP(fun(X15,bool),bool,hAPP(fun(X15,bool),fun(fun(X15,bool),bool),ord_less_eq(fun(X15,bool)),hAPP(fun(X15,bool),fun(X15,bool),hAPP(X15,fun(fun(X15,bool),fun(X15,bool)),insert(X15),X16),X17)),X18)) )
& ( hBOOL(hAPP(fun(X15,bool),bool,hAPP(fun(X15,bool),fun(fun(X15,bool),bool),ord_less_eq(fun(X15,bool)),X17),X18))
| ~ hBOOL(hAPP(fun(X15,bool),bool,hAPP(fun(X15,bool),fun(fun(X15,bool),bool),ord_less_eq(fun(X15,bool)),hAPP(fun(X15,bool),fun(X15,bool),hAPP(X15,fun(fun(X15,bool),fun(X15,bool)),insert(X15),X16),X17)),X18)) )
& ( ~ hBOOL(hAPP(fun(X15,bool),bool,hAPP(X15,fun(fun(X15,bool),bool),member(X15),X16),X18))
| ~ hBOOL(hAPP(fun(X15,bool),bool,hAPP(fun(X15,bool),fun(fun(X15,bool),bool),ord_less_eq(fun(X15,bool)),X17),X18))
| hBOOL(hAPP(fun(X15,bool),bool,hAPP(fun(X15,bool),fun(fun(X15,bool),bool),ord_less_eq(fun(X15,bool)),hAPP(fun(X15,bool),fun(X15,bool),hAPP(X15,fun(fun(X15,bool),fun(X15,bool)),insert(X15),X16),X17)),X18)) ) ),
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_84_insert__subset])])])])]) ).
fof(c_0_6,plain,
! [X15,X16,X17,X18,X19] :
( ~ hBOOL(hAPP(fun(X16,bool),bool,hAPP(X16,fun(fun(X16,bool),bool),member(X16),X18),X19))
| hBOOL(hAPP(fun(X15,bool),bool,hAPP(X15,fun(fun(X15,bool),bool),member(X15),hAPP(X16,X15,X17,X18)),hAPP(fun(X16,bool),fun(X15,bool),hAPP(fun(X16,X15),fun(fun(X16,bool),fun(X15,bool)),image(X16,X15),X17),X19))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_78_imageI])]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(assume_negation,[status(cth)],[conj_6]) ).
cnf(c_0_8,plain,
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),X4))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_10,plain,
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)))
| ~ hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
fof(c_0_12,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
cnf(c_0_13,hypothesis,
( hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),X1),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),X1),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,hypothesis,
hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(pname,X1,X2,pn)),hAPP(fun(pname,bool),fun(X1,bool),hAPP(fun(pname,X1),fun(fun(pname,bool),fun(X1,bool)),image(pname,X1),X2),u))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW473+5 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 5 09:54:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/1.43 # Preprocessing time : 0.028 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 : 17
% 0.25/1.43 # Proof object clause steps : 8
% 0.25/1.43 # Proof object formula steps : 9
% 0.25/1.43 # Proof object conjectures : 4
% 0.25/1.43 # Proof object clause conjectures : 1
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 5
% 0.25/1.43 # Proof object initial formulas used : 5
% 0.25/1.43 # Proof object generating inferences : 3
% 0.25/1.43 # Proof object simplifying inferences : 1
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 161
% 0.25/1.43 # Removed by relevancy pruning/SinE : 96
% 0.25/1.43 # Initial clauses : 91
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 91
% 0.25/1.43 # Processed clauses : 1697
% 0.25/1.43 # ...of these trivial : 64
% 0.25/1.43 # ...subsumed : 735
% 0.25/1.43 # ...remaining for further processing : 898
% 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 : 14
% 0.25/1.43 # Generated clauses : 13189
% 0.25/1.43 # ...of the previous two non-trivial : 8227
% 0.25/1.43 # Contextual simplify-reflections : 111
% 0.25/1.43 # Paramodulations : 13158
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 31
% 0.25/1.43 # Current number of processed clauses : 884
% 0.25/1.43 # Positive orientable unit clauses : 426
% 0.25/1.43 # Positive unorientable unit clauses: 3
% 0.25/1.43 # Negative unit clauses : 2
% 0.25/1.43 # Non-unit-clauses : 453
% 0.25/1.43 # Current number of unprocessed clauses: 6585
% 0.25/1.43 # ...number of literals in the above : 11965
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 14
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 24397
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 23557
% 0.25/1.43 # Non-unit clause-clause subsumptions : 837
% 0.25/1.43 # Unit Clause-clause subsumption calls : 920
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 140423
% 0.25/1.43 # BW rewrite match successes : 15
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 1331551
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.500 s
% 0.25/1.43 # System time : 0.017 s
% 0.25/1.43 # Total time : 0.517 s
% 0.25/1.43 # Maximum resident set size: 17912 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------