%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM613+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:34:25 EDT 2022
% Result : Theorem 0.26s 6.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 43 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 36 ( 12 ~; 9 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSuccEquSucc) ).
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__,conjecture,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3533) ).
fof(m__5255,hypothesis,
( sbrdtbr0(xQ) = szszuzczcdt0(xk)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5255) ).
fof(c_0_5,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| szszuzczcdt0(X3) != szszuzczcdt0(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(c_0_6,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_7,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_8,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_11,hypothesis,
szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
inference(split_conjunct,[status(thm)],[m__5255]) ).
cnf(c_0_12,hypothesis,
sbrdtbr0(xQ) = xK,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
cnf(c_0_14,hypothesis,
( X1 = xk
| szszuzczcdt0(X1) != xK
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_15,hypothesis,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5255]) ).
cnf(c_0_17,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM613+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n021.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 : Thu Jul 7 17:18:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.26/6.44 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.26/6.44 # Preprocessing time : 0.279 s
% 0.26/6.44
% 0.26/6.44 # Proof found!
% 0.26/6.44 # SZS status Theorem
% 0.26/6.44 # SZS output start CNFRefutation
% See solution above
% 0.26/6.44 # Proof object total steps : 19
% 0.26/6.44 # Proof object clause steps : 10
% 0.26/6.44 # Proof object formula steps : 9
% 0.26/6.44 # Proof object conjectures : 4
% 0.26/6.44 # Proof object clause conjectures : 1
% 0.26/6.44 # Proof object formula conjectures : 3
% 0.26/6.44 # Proof object initial clauses used : 7
% 0.26/6.44 # Proof object initial formulas used : 5
% 0.26/6.44 # Proof object generating inferences : 2
% 0.26/6.44 # Proof object simplifying inferences : 6
% 0.26/6.44 # Training examples: 0 positive, 0 negative
% 0.26/6.44 # Parsed axioms : 110
% 0.26/6.44 # Removed by relevancy pruning/SinE : 0
% 0.26/6.44 # Initial clauses : 4912
% 0.26/6.44 # Removed in clause preprocessing : 7
% 0.26/6.44 # Initial clauses in saturation : 4905
% 0.26/6.44 # Processed clauses : 5228
% 0.26/6.44 # ...of these trivial : 17
% 0.26/6.44 # ...subsumed : 405
% 0.26/6.44 # ...remaining for further processing : 4806
% 0.26/6.44 # Other redundant clauses eliminated : 4921
% 0.26/6.44 # Clauses deleted for lack of memory : 0
% 0.26/6.44 # Backward-subsumed : 8
% 0.26/6.44 # Backward-rewritten : 23
% 0.26/6.44 # Generated clauses : 74797
% 0.26/6.44 # ...of the previous two non-trivial : 64824
% 0.26/6.44 # Contextual simplify-reflections : 657
% 0.26/6.44 # Paramodulations : 69678
% 0.26/6.44 # Factorizations : 0
% 0.26/6.44 # Equation resolutions : 5119
% 0.26/6.44 # Current number of processed clauses : 4772
% 0.26/6.44 # Positive orientable unit clauses : 98
% 0.26/6.44 # Positive unorientable unit clauses: 0
% 0.26/6.44 # Negative unit clauses : 35
% 0.26/6.44 # Non-unit-clauses : 4639
% 0.26/6.44 # Current number of unprocessed clauses: 63872
% 0.26/6.44 # ...number of literals in the above : 978455
% 0.26/6.44 # Current number of archived formulas : 0
% 0.26/6.44 # Current number of archived clauses : 31
% 0.26/6.44 # Clause-clause subsumption calls (NU) : 6496384
% 0.26/6.44 # Rec. Clause-clause subsumption calls : 55820
% 0.26/6.44 # Non-unit clause-clause subsumptions : 968
% 0.26/6.44 # Unit Clause-clause subsumption calls : 194535
% 0.26/6.44 # Rewrite failures with RHS unbound : 0
% 0.26/6.44 # BW rewrite match attempts : 5
% 0.26/6.44 # BW rewrite match successes : 5
% 0.26/6.44 # Condensation attempts : 0
% 0.26/6.44 # Condensation successes : 0
% 0.26/6.44 # Termbank termtop insertions : 4027297
% 0.26/6.44
% 0.26/6.44 # -------------------------------------------------
% 0.26/6.44 # User time : 5.824 s
% 0.26/6.44 # System time : 0.071 s
% 0.26/6.44 # Total time : 5.895 s
% 0.26/6.44 # Maximum resident set size: 104972 pages
% 0.26/23.41 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------