TSTP Solution File: RNG116+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG116+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 20:26:59 EDT 2022
% Result : Theorem 0.48s 47.66s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 90 ( 32 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 111 ( 47 ~; 46 |; 15 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 31 ( 2 sgn 12 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefPrIdeal) ).
fof(m__,conjecture,
? [X1,X2] :
( aElement0(X1)
& aElement0(X2)
& xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__2456,hypothesis,
( aElementOf0(xk,slsdtgt0(xa))
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2456) ).
fof(m__2091,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2091) ).
fof(c_0_4,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( aSet0(X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aElement0(esk18_3(X5,X6,X7))
| ~ aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( sdtasdt0(X5,esk18_3(X5,X6,X7)) = X7
| ~ aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( ~ aElement0(X9)
| sdtasdt0(X5,X9) != X7
| aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( ~ aElementOf0(esk19_2(X5,X6),X6)
| ~ aElement0(X11)
| sdtasdt0(X5,X11) != esk19_2(X5,X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aElement0(esk20_2(X5,X6))
| aElementOf0(esk19_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( sdtasdt0(X5,esk20_2(X5,X6)) = esk19_2(X5,X6)
| aElementOf0(esk19_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) ) ),
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)],[mDefPrIdeal])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ? [X1,X2] :
( aElement0(X1)
& aElement0(X2)
& xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_6,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElement0(X1)
| X2 != slsdtgt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElementOf0(xk,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[m__2456]) ).
fof(c_0_8,negated_conjecture,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| xu != sdtpldt0(sdtasdt0(xa,X3),sdtasdt0(xb,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
cnf(c_0_9,hypothesis,
( sdtasdt0(X1,esk18_3(X1,slsdtgt0(xa),xk)) = xk
| slsdtgt0(xa) != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__2091]) ).
cnf(c_0_11,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElement0(X1)
| X2 != slsdtgt0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),xk)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10])]) ).
cnf(c_0_14,hypothesis,
( aElement0(esk18_3(X1,slsdtgt0(xa),xk))
| slsdtgt0(xa) != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_15,hypothesis,
aElementOf0(xl,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[m__2456]) ).
cnf(c_0_16,negated_conjecture,
( sdtpldt0(xk,sdtasdt0(xb,X1)) != xu
| ~ aElement0(esk18_3(xa,slsdtgt0(xa),xk))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
aElement0(esk18_3(xa,slsdtgt0(xa),xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_10])]) ).
cnf(c_0_18,hypothesis,
( sdtasdt0(X1,esk18_3(X1,slsdtgt0(xb),xl)) = xl
| slsdtgt0(xb) != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
cnf(c_0_19,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__2091]) ).
cnf(c_0_20,hypothesis,
( aElement0(esk18_3(X1,slsdtgt0(xb),xl))
| slsdtgt0(xb) != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( sdtpldt0(xk,sdtasdt0(xb,X1)) != xu
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_22,hypothesis,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xl)) = xl,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_19])]) ).
cnf(c_0_23,hypothesis,
xu = sdtpldt0(xk,xl),
inference(split_conjunct,[status(thm)],[m__2456]) ).
cnf(c_0_24,hypothesis,
aElement0(esk18_3(xb,slsdtgt0(xb),xl)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_19])]) ).
cnf(c_0_25,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG116+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n025.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 : Mon May 30 13:01:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.48/46.42 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.45 eprover: CPU time limit exceeded, terminating
% 0.48/46.49 eprover: CPU time limit exceeded, terminating
% 0.48/47.66 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.48/47.66
% 0.48/47.66 # Failure: Resource limit exceeded (time)
% 0.48/47.66 # OLD status Res
% 0.48/47.66 # Preprocessing time : 0.020 s
% 0.48/47.66 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.48/47.66
% 0.48/47.66 # Failure: Resource limit exceeded (time)
% 0.48/47.66 # OLD status Res
% 0.48/47.66 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.48/47.66 # Preprocessing time : 0.020 s
% 0.48/47.66 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.48/47.66 # Preprocessing time : 0.019 s
% 0.48/47.66
% 0.48/47.66 # Proof found!
% 0.48/47.66 # SZS status Theorem
% 0.48/47.66 # SZS output start CNFRefutation
% See solution above
% 0.48/47.66 # Proof object total steps : 26
% 0.48/47.66 # Proof object clause steps : 19
% 0.48/47.66 # Proof object formula steps : 7
% 0.48/47.66 # Proof object conjectures : 6
% 0.48/47.66 # Proof object clause conjectures : 3
% 0.48/47.66 # Proof object formula conjectures : 3
% 0.48/47.66 # Proof object initial clauses used : 8
% 0.48/47.66 # Proof object initial formulas used : 4
% 0.48/47.66 # Proof object generating inferences : 10
% 0.48/47.66 # Proof object simplifying inferences : 13
% 0.48/47.66 # Training examples: 0 positive, 0 negative
% 0.48/47.66 # Parsed axioms : 48
% 0.48/47.66 # Removed by relevancy pruning/SinE : 0
% 0.48/47.66 # Initial clauses : 113
% 0.48/47.66 # Removed in clause preprocessing : 4
% 0.48/47.66 # Initial clauses in saturation : 109
% 0.48/47.66 # Processed clauses : 3012
% 0.48/47.66 # ...of these trivial : 155
% 0.48/47.66 # ...subsumed : 120
% 0.48/47.66 # ...remaining for further processing : 2737
% 0.48/47.66 # Other redundant clauses eliminated : 0
% 0.48/47.66 # Clauses deleted for lack of memory : 0
% 0.48/47.66 # Backward-subsumed : 0
% 0.48/47.66 # Backward-rewritten : 322
% 0.48/47.66 # Generated clauses : 50873
% 0.48/47.66 # ...of the previous two non-trivial : 49943
% 0.48/47.66 # Contextual simplify-reflections : 7
% 0.48/47.66 # Paramodulations : 50738
% 0.48/47.66 # Factorizations : 0
% 0.48/47.66 # Equation resolutions : 135
% 0.48/47.66 # Current number of processed clauses : 2415
% 0.48/47.66 # Positive orientable unit clauses : 1329
% 0.48/47.66 # Positive unorientable unit clauses: 0
% 0.48/47.66 # Negative unit clauses : 89
% 0.48/47.66 # Non-unit-clauses : 997
% 0.48/47.66 # Current number of unprocessed clauses: 46345
% 0.48/47.66 # ...number of literals in the above : 92493
% 0.48/47.66 # Current number of archived formulas : 0
% 0.48/47.66 # Current number of archived clauses : 322
% 0.48/47.66 # Clause-clause subsumption calls (NU) : 40116
% 0.48/47.66 # Rec. Clause-clause subsumption calls : 26215
% 0.48/47.66 # Non-unit clause-clause subsumptions : 77
% 0.48/47.66 # Unit Clause-clause subsumption calls : 10492
% 0.48/47.66 # Rewrite failures with RHS unbound : 0
% 0.48/47.66 # BW rewrite match attempts : 2905
% 0.48/47.66 # BW rewrite match successes : 151
% 0.48/47.66 # Condensation attempts : 0
% 0.48/47.66 # Condensation successes : 0
% 0.48/47.66 # Termbank termtop insertions : 948936
% 0.48/47.66
% 0.48/47.66 # -------------------------------------------------
% 0.48/47.66 # User time : 0.591 s
% 0.48/47.66 # System time : 0.031 s
% 0.48/47.66 # Total time : 0.622 s
% 0.48/47.66 # Maximum resident set size: 47772 pages
% 0.48/69.47 eprover: CPU time limit exceeded, terminating
% 0.48/69.47 eprover: CPU time limit exceeded, terminating
% 0.48/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.48 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.51 eprover: No such file or directory
% 0.48/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.51 eprover: No such file or directory
% 0.48/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.51 eprover: No such file or directory
% 0.48/69.51 eprover: CPU time limit exceeded, terminating
% 0.48/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.51 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.52 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.52 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.52 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.52 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.52 eprover: No such file or directory
% 0.48/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.53 eprover: No such file or directory
% 0.48/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.54 eprover: No such file or directory
% 0.48/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.54 eprover: No such file or directory
% 0.48/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.55 eprover: No such file or directory
% 0.48/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.55 eprover: No such file or directory
% 0.48/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.56 eprover: No such file or directory
% 0.48/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.56 eprover: No such file or directory
% 0.48/69.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.57 eprover: No such file or directory
% 0.48/69.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/69.57 eprover: No such file or directory
%------------------------------------------------------------------------------