TSTP Solution File: NUM627+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM627+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 : Mon Jul 18 09:34:34 EDT 2022
% Result : Theorem 0.27s 8.46s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 69 ( 5 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 76 ( 29 ~; 25 |; 15 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__3754) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLessTotal) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSuccNum) ).
fof(m__5442,hypothesis,
~ ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__5442) ).
fof(m__5389,hypothesis,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__5389) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__5309) ).
fof(m__5461,hypothesis,
~ ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
| aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__5461) ).
fof(c_0_7,hypothesis,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(c_0_9,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( szszuzczcdt0(X2) != sz00
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_10,hypothesis,
( aElementOf0(esk43_0,sdtlpdtrp0(xN,xm))
& ~ aElementOf0(esk43_0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5442])])])])]) ).
cnf(c_0_11,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
( sdtlseqdt0(X1,X2)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
fof(c_0_18,hypothesis,
( aElementOf0(esk44_0,sdtlpdtrp0(xN,xn))
& ~ aElementOf0(esk44_0,sdtlpdtrp0(xN,xm))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5461])])])])]) ).
cnf(c_0_19,hypothesis,
sdtlseqdt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_20,hypothesis,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_19]),c_0_17]),c_0_16])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM627+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n015.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 : Tue Jul 5 13:07:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.27/8.46 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.27/8.46 # Preprocessing time : 0.293 s
% 0.27/8.46
% 0.27/8.46 # Proof found!
% 0.27/8.46 # SZS status Theorem
% 0.27/8.46 # SZS output start CNFRefutation
% See solution above
% 0.27/8.46 # Proof object total steps : 22
% 0.27/8.46 # Proof object clause steps : 10
% 0.27/8.46 # Proof object formula steps : 12
% 0.27/8.46 # Proof object conjectures : 0
% 0.27/8.46 # Proof object clause conjectures : 0
% 0.27/8.46 # Proof object formula conjectures : 0
% 0.27/8.46 # Proof object initial clauses used : 7
% 0.27/8.46 # Proof object initial formulas used : 7
% 0.27/8.46 # Proof object generating inferences : 3
% 0.27/8.46 # Proof object simplifying inferences : 8
% 0.27/8.46 # Training examples: 0 positive, 0 negative
% 0.27/8.46 # Parsed axioms : 119
% 0.27/8.46 # Removed by relevancy pruning/SinE : 0
% 0.27/8.46 # Initial clauses : 4933
% 0.27/8.46 # Removed in clause preprocessing : 7
% 0.27/8.46 # Initial clauses in saturation : 4926
% 0.27/8.46 # Processed clauses : 6219
% 0.27/8.46 # ...of these trivial : 68
% 0.27/8.46 # ...subsumed : 895
% 0.27/8.46 # ...remaining for further processing : 5256
% 0.27/8.46 # Other redundant clauses eliminated : 5122
% 0.27/8.46 # Clauses deleted for lack of memory : 0
% 0.27/8.46 # Backward-subsumed : 26
% 0.27/8.46 # Backward-rewritten : 11
% 0.27/8.46 # Generated clauses : 88814
% 0.27/8.46 # ...of the previous two non-trivial : 78091
% 0.27/8.46 # Contextual simplify-reflections : 882
% 0.27/8.46 # Paramodulations : 83469
% 0.27/8.46 # Factorizations : 0
% 0.27/8.46 # Equation resolutions : 5344
% 0.27/8.46 # Current number of processed clauses : 5215
% 0.27/8.46 # Positive orientable unit clauses : 177
% 0.27/8.46 # Positive unorientable unit clauses: 0
% 0.27/8.46 # Negative unit clauses : 96
% 0.27/8.46 # Non-unit-clauses : 4942
% 0.27/8.46 # Current number of unprocessed clauses: 76516
% 0.27/8.46 # ...number of literals in the above : 1107976
% 0.27/8.46 # Current number of archived formulas : 0
% 0.27/8.46 # Current number of archived clauses : 38
% 0.27/8.46 # Clause-clause subsumption calls (NU) : 6681906
% 0.27/8.46 # Rec. Clause-clause subsumption calls : 87061
% 0.27/8.46 # Non-unit clause-clause subsumptions : 1425
% 0.27/8.46 # Unit Clause-clause subsumption calls : 402707
% 0.27/8.46 # Rewrite failures with RHS unbound : 0
% 0.27/8.46 # BW rewrite match attempts : 13
% 0.27/8.46 # BW rewrite match successes : 9
% 0.27/8.46 # Condensation attempts : 0
% 0.27/8.46 # Condensation successes : 0
% 0.27/8.46 # Termbank termtop insertions : 4490808
% 0.27/8.46
% 0.27/8.46 # -------------------------------------------------
% 0.27/8.46 # User time : 6.976 s
% 0.27/8.46 # System time : 0.071 s
% 0.27/8.46 # Total time : 7.047 s
% 0.27/8.46 # Maximum resident set size: 119248 pages
% 0.27/23.41 eprover: CPU time limit exceeded, terminating
% 0.27/23.41 eprover: CPU time limit exceeded, terminating
% 0.27/23.41 eprover: CPU time limit exceeded, terminating
% 0.27/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43 eprover: No such file or directory
% 0.27/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43 eprover: No such file or directory
% 0.27/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.43 eprover: No such file or directory
% 0.27/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43 eprover: No such file or directory
% 0.27/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43 eprover: No such file or directory
% 0.27/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44 eprover: No such file or directory
% 0.27/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44 eprover: No such file or directory
% 0.27/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44 eprover: No such file or directory
% 0.27/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44 eprover: No such file or directory
% 0.27/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44 eprover: No such file or directory
% 0.27/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44 eprover: No such file or directory
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------