TSTP Solution File: NUM594+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM594+1 : 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 09:34:11 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 104 ( 30 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 138 ( 59 ~; 56 |; 16 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 38 ( 2 sgn 19 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = xx ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefSImg) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4730) ).
fof(m__4781,hypothesis,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4781) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSubRefl) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNATSet) ).
fof(c_0_6,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlpdtrp0(xd,X2) != xx ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_8,plain,
! [X6,X7,X8,X9,X9,X11,X8,X13] :
( ( aSet0(X8)
| X8 != sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk14_4(X6,X7,X8,X9),X7)
| ~ aElementOf0(X9,X8)
| X8 != sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( sdtlpdtrp0(X6,esk14_4(X6,X7,X8,X9)) = X9
| ~ aElementOf0(X9,X8)
| X8 != sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( ~ aElementOf0(X11,X7)
| sdtlpdtrp0(X6,X11) != X9
| aElementOf0(X9,X8)
| X8 != sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( ~ aElementOf0(esk15_3(X6,X7,X8),X8)
| ~ aElementOf0(X13,X7)
| sdtlpdtrp0(X6,X13) != esk15_3(X6,X7,X8)
| ~ aSet0(X8)
| X8 = sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk16_3(X6,X7,X8),X7)
| aElementOf0(esk15_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| X8 = sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( sdtlpdtrp0(X6,esk16_3(X6,X7,X8)) = esk15_3(X6,X7,X8)
| aElementOf0(esk15_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| X8 = sdtlcdtrc0(X6,X7)
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSImg])])])])])])]) ).
fof(c_0_9,hypothesis,
! [X3,X4] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| sdtlpdtrp0(xd,X3) = sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4) ) ),
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__4730])])])])]) ).
cnf(c_0_10,negated_conjecture,
( sdtlpdtrp0(xd,X1) != xx
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( X1 != sdtlcdtrc0(xd,X2)
| X3 != xx
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(esk14_4(xd,X2,X1,X3),szNzAzT0)
| ~ aElementOf0(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_15,plain,
( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( X1 != sdtlcdtrc0(xd,szNzAzT0)
| X2 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_12]),c_0_13])]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(split_conjunct,[status(thm)],[m__4781]) ).
cnf(c_0_18,negated_conjecture,
( X1 != xx
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_19,hypothesis,
aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0)),
inference(rw,[status(thm)],[c_0_17,c_0_13]) ).
fof(c_0_20,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_21,hypothesis,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_24,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM594+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 10:48:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.026 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 : 25
% 0.25/1.43 # Proof object clause steps : 14
% 0.25/1.43 # Proof object formula steps : 11
% 0.25/1.43 # Proof object conjectures : 7
% 0.25/1.43 # Proof object clause conjectures : 4
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 8
% 0.25/1.43 # Proof object initial formulas used : 6
% 0.25/1.43 # Proof object generating inferences : 5
% 0.25/1.43 # Proof object simplifying inferences : 9
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 95
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 192
% 0.25/1.43 # Removed in clause preprocessing : 7
% 0.25/1.43 # Initial clauses in saturation : 185
% 0.25/1.43 # Processed clauses : 2679
% 0.25/1.43 # ...of these trivial : 39
% 0.25/1.43 # ...subsumed : 1382
% 0.25/1.43 # ...remaining for further processing : 1258
% 0.25/1.43 # Other redundant clauses eliminated : 23
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 76
% 0.25/1.43 # Backward-rewritten : 16
% 0.25/1.43 # Generated clauses : 13761
% 0.25/1.43 # ...of the previous two non-trivial : 12872
% 0.25/1.43 # Contextual simplify-reflections : 1103
% 0.25/1.43 # Paramodulations : 13654
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 107
% 0.25/1.43 # Current number of processed clauses : 1163
% 0.25/1.43 # Positive orientable unit clauses : 83
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 44
% 0.25/1.43 # Non-unit-clauses : 1036
% 0.25/1.43 # Current number of unprocessed clauses: 9860
% 0.25/1.43 # ...number of literals in the above : 63727
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 92
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 270904
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 66047
% 0.25/1.43 # Non-unit clause-clause subsumptions : 1812
% 0.25/1.43 # Unit Clause-clause subsumption calls : 8379
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 10
% 0.25/1.43 # BW rewrite match successes : 9
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 313443
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.454 s
% 0.25/1.43 # System time : 0.014 s
% 0.25/1.43 # Total time : 0.468 s
% 0.25/1.43 # Maximum resident set size: 16584 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------