TSTP Solution File: SWW473+7 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW473+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 0.39s 3.57s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 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 : 31 ( 4 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p',conj_6) ).
fof(fact_103_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/sandbox/solver/bin/../tmp/theBenchmark.p',fact_103_insert__subset) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',conj_1) ).
fof(fact_94_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/sandbox/solver/bin/../tmp/theBenchmark.p',fact_94_imageI) ).
fof(conj_4,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_4) ).
fof(c_0_5,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]) ).
fof(c_0_6,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_5]) ).
fof(c_0_7,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_103_insert__subset])])])])]) ).
cnf(c_0_8,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_6]) ).
cnf(c_0_9,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_7]) ).
cnf(c_0_10,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]) ).
fof(c_0_11,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_94_imageI])]) ).
cnf(c_0_12,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,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_11]) ).
cnf(c_0_14,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]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW473+7 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n024.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 : Mon Jun 6 02:29:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/3.57 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.39/3.57 # Preprocessing time : 0.187 s
% 0.39/3.57
% 0.39/3.57 # Proof found!
% 0.39/3.57 # SZS status Theorem
% 0.39/3.57 # SZS output start CNFRefutation
% See solution above
% 0.39/3.57 # Proof object total steps : 16
% 0.39/3.57 # Proof object clause steps : 7
% 0.39/3.57 # Proof object formula steps : 9
% 0.39/3.57 # Proof object conjectures : 6
% 0.39/3.57 # Proof object clause conjectures : 3
% 0.39/3.57 # Proof object formula conjectures : 3
% 0.39/3.57 # Proof object initial clauses used : 5
% 0.39/3.57 # Proof object initial formulas used : 5
% 0.39/3.57 # Proof object generating inferences : 2
% 0.39/3.57 # Proof object simplifying inferences : 4
% 0.39/3.57 # Training examples: 0 positive, 0 negative
% 0.39/3.57 # Parsed axioms : 1201
% 0.39/3.57 # Removed by relevancy pruning/SinE : 0
% 0.39/3.57 # Initial clauses : 1739
% 0.39/3.57 # Removed in clause preprocessing : 68
% 0.39/3.57 # Initial clauses in saturation : 1671
% 0.39/3.57 # Processed clauses : 2110
% 0.39/3.57 # ...of these trivial : 40
% 0.39/3.57 # ...subsumed : 557
% 0.39/3.57 # ...remaining for further processing : 1513
% 0.39/3.57 # Other redundant clauses eliminated : 105
% 0.39/3.57 # Clauses deleted for lack of memory : 0
% 0.39/3.57 # Backward-subsumed : 6
% 0.39/3.57 # Backward-rewritten : 44
% 0.39/3.57 # Generated clauses : 68657
% 0.39/3.57 # ...of the previous two non-trivial : 63235
% 0.39/3.57 # Contextual simplify-reflections : 42
% 0.39/3.57 # Paramodulations : 68506
% 0.39/3.57 # Factorizations : 12
% 0.39/3.57 # Equation resolutions : 139
% 0.39/3.57 # Current number of processed clauses : 1449
% 0.39/3.57 # Positive orientable unit clauses : 296
% 0.39/3.57 # Positive unorientable unit clauses: 10
% 0.39/3.57 # Negative unit clauses : 40
% 0.39/3.57 # Non-unit-clauses : 1103
% 0.39/3.57 # Current number of unprocessed clauses: 61376
% 0.39/3.57 # ...number of literals in the above : 233865
% 0.39/3.57 # Current number of archived formulas : 0
% 0.39/3.57 # Current number of archived clauses : 51
% 0.39/3.57 # Clause-clause subsumption calls (NU) : 161031
% 0.39/3.57 # Rec. Clause-clause subsumption calls : 89909
% 0.39/3.57 # Non-unit clause-clause subsumptions : 330
% 0.39/3.57 # Unit Clause-clause subsumption calls : 5259
% 0.39/3.57 # Rewrite failures with RHS unbound : 0
% 0.39/3.57 # BW rewrite match attempts : 20685
% 0.39/3.57 # BW rewrite match successes : 132
% 0.39/3.57 # Condensation attempts : 0
% 0.39/3.57 # Condensation successes : 0
% 0.39/3.57 # Termbank termtop insertions : 5447781
% 0.39/3.57
% 0.39/3.57 # -------------------------------------------------
% 0.39/3.57 # User time : 2.191 s
% 0.39/3.57 # System time : 0.066 s
% 0.39/3.57 # Total time : 2.257 s
% 0.39/3.57 # Maximum resident set size: 85912 pages
% 0.39/23.56 eprover: CPU time limit exceeded, terminating
% 0.39/23.56 eprover: CPU time limit exceeded, terminating
% 0.39/23.56 eprover: CPU time limit exceeded, terminating
% 0.39/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.57 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.58 eprover: No such file or directory
% 0.39/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.59 eprover: No such file or directory
% 0.39/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.59 eprover: No such file or directory
% 0.39/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.59 eprover: No such file or directory
% 0.39/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.59 eprover: No such file or directory
% 0.39/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.59 eprover: No such file or directory
% 0.39/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.59 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.60 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.61 eprover: No such file or directory
% 0.39/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.62 eprover: No such file or directory
% 0.39/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.62 eprover: No such file or directory
% 0.39/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.62 eprover: No such file or directory
% 0.39/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.62 eprover: No such file or directory
% 0.39/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.63 eprover: No such file or directory
%------------------------------------------------------------------------------