TSTP Solution File: NUM624+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 09:34:32 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 69 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 59 ( 20 ~; 18 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5147,hypothesis,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5147) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLessASymm) ).
fof(m__5365,hypothesis,
( aElementOf0(xx,szNzAzT0)
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = xx ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5365) ).
fof(m__5401,hypothesis,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5401) ).
fof(m__5481,hypothesis,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5481) ).
fof(m__5106,hypothesis,
( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5106) ).
fof(m__5348,hypothesis,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5348) ).
fof(c_0_7,hypothesis,
! [X2] :
( aElementOf0(xp,xQ)
& ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& xp = szmzizndt0(xQ) ),
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__5147])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(c_0_9,hypothesis,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(esk1_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,esk1_0) = xx ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__5365])])])]) ).
fof(c_0_10,hypothesis,
! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5401])]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5481]) ).
cnf(c_0_12,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,hypothesis,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
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__5106])])])])]) ).
cnf(c_0_15,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,hypothesis,
( sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,hypothesis,
aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_20,hypothesis,
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) ),
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_21,hypothesis,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_22,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,hypothesis,
aElementOf0(szmzizndt0(xQ),xQ),
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_24,hypothesis,
( X1 = xx
| ~ sdtlseqdt0(xx,X1)
| ~ sdtlseqdt0(X1,xx)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,hypothesis,
sdtlseqdt0(xx,szmzizndt0(xQ)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,hypothesis,
sdtlseqdt0(szmzizndt0(xQ),xx),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,hypothesis,
aElementOf0(szmzizndt0(xQ),szNzAzT0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,hypothesis,
xx != szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_29,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n007.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 : Tue Jul 5 19:00:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/1.42 # Preprocessing time : 0.022 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 30
% 0.25/1.42 # Proof object clause steps : 18
% 0.25/1.42 # Proof object formula steps : 12
% 0.25/1.42 # Proof object conjectures : 0
% 0.25/1.42 # Proof object clause conjectures : 0
% 0.25/1.42 # Proof object formula conjectures : 0
% 0.25/1.42 # Proof object initial clauses used : 10
% 0.25/1.42 # Proof object initial formulas used : 7
% 0.25/1.42 # Proof object generating inferences : 5
% 0.25/1.42 # Proof object simplifying inferences : 7
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 121
% 0.25/1.42 # Removed by relevancy pruning/SinE : 87
% 0.25/1.42 # Initial clauses : 97
% 0.25/1.42 # Removed in clause preprocessing : 2
% 0.25/1.42 # Initial clauses in saturation : 95
% 0.25/1.42 # Processed clauses : 242
% 0.25/1.42 # ...of these trivial : 10
% 0.25/1.42 # ...subsumed : 25
% 0.25/1.42 # ...remaining for further processing : 207
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 0
% 0.25/1.42 # Backward-rewritten : 25
% 0.25/1.42 # Generated clauses : 279
% 0.25/1.42 # ...of the previous two non-trivial : 264
% 0.25/1.42 # Contextual simplify-reflections : 0
% 0.25/1.42 # Paramodulations : 253
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 26
% 0.25/1.42 # Current number of processed clauses : 182
% 0.25/1.42 # Positive orientable unit clauses : 74
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 2
% 0.25/1.42 # Non-unit-clauses : 106
% 0.25/1.42 # Current number of unprocessed clauses: 101
% 0.25/1.42 # ...number of literals in the above : 295
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 25
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 1456
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 737
% 0.25/1.42 # Non-unit clause-clause subsumptions : 22
% 0.25/1.42 # Unit Clause-clause subsumption calls : 606
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 7
% 0.25/1.42 # BW rewrite match successes : 7
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 12370
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.031 s
% 0.25/1.42 # System time : 0.003 s
% 0.25/1.42 # Total time : 0.034 s
% 0.25/1.42 # Maximum resident set size: 3632 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------