TSTP Solution File: NUM597+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM597+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:34:14 EDT 2022
% Result : Theorem 0.28s 1.47s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 91 ( 23 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 105 ( 38 ~; 36 |; 24 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4868,hypothesis,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) )
=> ~ ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4868) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| 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__4758,hypothesis,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4758) ).
fof(m__,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(c_0_4,hypothesis,
! [X2,X2] :
( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( aElementOf0(X2,szDzozmdt0(xd))
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X2,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X2) != szDzizrdt0(xd)
| aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(esk1_0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
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)],[m__4868])])])])])])]) ).
fof(c_0_5,hypothesis,
! [X4,X5] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk2_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk2_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) ) ),
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)],[m__4730])])])])])])]) ).
fof(c_0_6,hypothesis,
! [X3,X3,X5,X6] :
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ( aElementOf0(esk3_1(X3),szDzozmdt0(xd))
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( sdtlpdtrp0(xd,esk3_1(X3)) = X3
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( ~ aElementOf0(X5,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X5) != X3
| aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( ~ aElementOf0(X6,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X6,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
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)],[m__4758])])])])])])]) ).
cnf(c_0_7,hypothesis,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
( sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,hypothesis,
aElementOf0(esk1_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szNzAzT0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8]),c_0_8]) ).
cnf(c_0_14,hypothesis,
sdtlpdtrp0(xd,esk1_0) = szDzizrdt0(xd),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk1_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
fof(c_0_16,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_17,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,hypothesis,
( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| szDzizrdt0(xd) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_19,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_20,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(rw,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_21,hypothesis,
aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM597+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : run_ET %s %d
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jul 7 04:33:08 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.28/1.47 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.28/1.47 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.28/1.47 # Preprocessing time : 0.048 s
% 0.28/1.47
% 0.28/1.47 # Proof found!
% 0.28/1.47 # SZS status Theorem
% 0.28/1.47 # SZS output start CNFRefutation
% See solution above
% 0.28/1.47 # Proof object total steps : 24
% 0.28/1.47 # Proof object clause steps : 15
% 0.28/1.47 # Proof object formula steps : 9
% 0.28/1.47 # Proof object conjectures : 4
% 0.28/1.47 # Proof object clause conjectures : 1
% 0.28/1.47 # Proof object formula conjectures : 3
% 0.28/1.47 # Proof object initial clauses used : 7
% 0.28/1.47 # Proof object initial formulas used : 4
% 0.28/1.47 # Proof object generating inferences : 5
% 0.28/1.47 # Proof object simplifying inferences : 7
% 0.28/1.47 # Training examples: 0 positive, 0 negative
% 0.28/1.47 # Parsed axioms : 95
% 0.28/1.47 # Removed by relevancy pruning/SinE : 50
% 0.28/1.47 # Initial clauses : 521
% 0.28/1.47 # Removed in clause preprocessing : 5
% 0.28/1.47 # Initial clauses in saturation : 516
% 0.28/1.47 # Processed clauses : 541
% 0.28/1.47 # ...of these trivial : 0
% 0.28/1.47 # ...subsumed : 176
% 0.28/1.47 # ...remaining for further processing : 365
% 0.28/1.47 # Other redundant clauses eliminated : 0
% 0.28/1.47 # Clauses deleted for lack of memory : 0
% 0.28/1.47 # Backward-subsumed : 0
% 0.28/1.47 # Backward-rewritten : 0
% 0.28/1.47 # Generated clauses : 178
% 0.28/1.47 # ...of the previous two non-trivial : 162
% 0.28/1.47 # Contextual simplify-reflections : 291
% 0.28/1.47 # Paramodulations : 168
% 0.28/1.47 # Factorizations : 0
% 0.28/1.47 # Equation resolutions : 5
% 0.28/1.47 # Current number of processed clauses : 363
% 0.28/1.47 # Positive orientable unit clauses : 28
% 0.28/1.47 # Positive unorientable unit clauses: 0
% 0.28/1.47 # Negative unit clauses : 5
% 0.28/1.47 # Non-unit-clauses : 330
% 0.28/1.47 # Current number of unprocessed clauses: 137
% 0.28/1.47 # ...number of literals in the above : 438
% 0.28/1.47 # Current number of archived formulas : 0
% 0.28/1.47 # Current number of archived clauses : 0
% 0.28/1.47 # Clause-clause subsumption calls (NU) : 112024
% 0.28/1.47 # Rec. Clause-clause subsumption calls : 2475
% 0.28/1.47 # Non-unit clause-clause subsumptions : 469
% 0.28/1.47 # Unit Clause-clause subsumption calls : 2853
% 0.28/1.47 # Rewrite failures with RHS unbound : 0
% 0.28/1.47 # BW rewrite match attempts : 0
% 0.28/1.47 # BW rewrite match successes : 0
% 0.28/1.47 # Condensation attempts : 0
% 0.28/1.47 # Condensation successes : 0
% 0.28/1.47 # Termbank termtop insertions : 53762
% 0.28/1.47
% 0.28/1.47 # -------------------------------------------------
% 0.28/1.47 # User time : 0.143 s
% 0.28/1.47 # System time : 0.007 s
% 0.28/1.47 # Total time : 0.150 s
% 0.28/1.47 # Maximum resident set size: 5412 pages
% 0.28/23.46 eprover: CPU time limit exceeded, terminating
% 0.28/23.46 eprover: CPU time limit exceeded, terminating
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
% 0.28/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
%------------------------------------------------------------------------------