TSTP Solution File: NUM606+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 09:34:20 EDT 2022
% Result : Theorem 0.25s 6.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 48 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 10 ~; 8 |; 18 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
| aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__5078,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5078) ).
fof(m__4998,hypothesis,
( ! [X1] :
( aElementOf0(X1,xO)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4998) ).
fof(m__3435,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3435) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
| aSubsetOf0(xQ,szNzAzT0) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
! [X2] :
( aSet0(xQ)
& ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
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__5078])])])])]) ).
fof(c_0_6,negated_conjecture,
( aElementOf0(esk41_0,xQ)
& ~ aElementOf0(esk41_0,szNzAzT0)
& ~ aSubsetOf0(xQ,szNzAzT0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,hypothesis,
! [X2] :
( ( ~ aElementOf0(X2,xO)
| aElementOf0(X2,xS) )
& aSubsetOf0(xO,xS) ),
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__4998])])])])]) ).
cnf(c_0_8,hypothesis,
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
aElementOf0(esk41_0,xQ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,hypothesis,
! [X2] :
( aSet0(xS)
& ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
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__3435])])])])]) ).
cnf(c_0_11,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
aElementOf0(esk41_0,xO),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
aElementOf0(esk41_0,xS),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ aElementOf0(esk41_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
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
% 0.03/0.11 % Problem : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n014.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 : Thu Jul 7 18:31:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/6.44 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/6.44 # Preprocessing time : 0.313 s
% 0.25/6.44
% 0.25/6.44 # Proof found!
% 0.25/6.44 # SZS status Theorem
% 0.25/6.44 # SZS output start CNFRefutation
% See solution above
% 0.25/6.44 # Proof object total steps : 17
% 0.25/6.44 # Proof object clause steps : 8
% 0.25/6.44 # Proof object formula steps : 9
% 0.25/6.44 # Proof object conjectures : 6
% 0.25/6.44 # Proof object clause conjectures : 3
% 0.25/6.44 # Proof object formula conjectures : 3
% 0.25/6.44 # Proof object initial clauses used : 5
% 0.25/6.44 # Proof object initial formulas used : 4
% 0.25/6.44 # Proof object generating inferences : 3
% 0.25/6.44 # Proof object simplifying inferences : 1
% 0.25/6.44 # Training examples: 0 positive, 0 negative
% 0.25/6.44 # Parsed axioms : 101
% 0.25/6.44 # Removed by relevancy pruning/SinE : 0
% 0.25/6.44 # Initial clauses : 4887
% 0.25/6.44 # Removed in clause preprocessing : 7
% 0.25/6.44 # Initial clauses in saturation : 4880
% 0.25/6.44 # Processed clauses : 4955
% 0.25/6.44 # ...of these trivial : 6
% 0.25/6.44 # ...subsumed : 306
% 0.25/6.44 # ...remaining for further processing : 4643
% 0.25/6.44 # Other redundant clauses eliminated : 4921
% 0.25/6.44 # Clauses deleted for lack of memory : 0
% 0.25/6.44 # Backward-subsumed : 0
% 0.25/6.44 # Backward-rewritten : 0
% 0.25/6.44 # Generated clauses : 71108
% 0.25/6.44 # ...of the previous two non-trivial : 61211
% 0.25/6.44 # Contextual simplify-reflections : 637
% 0.25/6.44 # Paramodulations : 65991
% 0.25/6.44 # Factorizations : 0
% 0.25/6.44 # Equation resolutions : 5117
% 0.25/6.44 # Current number of processed clauses : 4640
% 0.25/6.44 # Positive orientable unit clauses : 51
% 0.25/6.44 # Positive unorientable unit clauses: 0
% 0.25/6.44 # Negative unit clauses : 19
% 0.25/6.44 # Non-unit-clauses : 4570
% 0.25/6.44 # Current number of unprocessed clauses: 61136
% 0.25/6.44 # ...number of literals in the above : 952578
% 0.25/6.44 # Current number of archived formulas : 0
% 0.25/6.44 # Current number of archived clauses : 0
% 0.25/6.44 # Clause-clause subsumption calls (NU) : 6346726
% 0.25/6.44 # Rec. Clause-clause subsumption calls : 48196
% 0.25/6.44 # Non-unit clause-clause subsumptions : 923
% 0.25/6.44 # Unit Clause-clause subsumption calls : 73482
% 0.25/6.44 # Rewrite failures with RHS unbound : 0
% 0.25/6.44 # BW rewrite match attempts : 0
% 0.25/6.44 # BW rewrite match successes : 0
% 0.25/6.44 # Condensation attempts : 0
% 0.25/6.44 # Condensation successes : 0
% 0.25/6.44 # Termbank termtop insertions : 3910766
% 0.25/6.44
% 0.25/6.44 # -------------------------------------------------
% 0.25/6.44 # User time : 5.876 s
% 0.25/6.44 # System time : 0.083 s
% 0.25/6.44 # Total time : 5.959 s
% 0.25/6.44 # Maximum resident set size: 101856 pages
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 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
% 0.25/23.43 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
% 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
% 0.25/23.43 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
% 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
% 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.mepo_128.in
% 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: 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
% 0.25/23.46 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.ineprover:
% 0.25/23.46 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: 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
% 0.25/23.47 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
% 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
%------------------------------------------------------------------------------