TSTP Solution File: NUM466+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM466+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 09:32:43 EDT 2022
% Result : Theorem 0.28s 1.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 100 ( 19 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 106 ( 44 ~; 41 |; 14 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 19 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( doDivides0(xl,xm)
& doDivides0(xm,xn) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefDiv) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulComm) ).
fof(m__1218,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1218) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsB_02) ).
fof(c_0_6,negated_conjecture,
~ ( ( doDivides0(xl,xm)
& doDivides0(xm,xn) )
=> doDivides0(xl,xn) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(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)],[mDefDiv])])])])])])]) ).
fof(c_0_8,negated_conjecture,
( doDivides0(xl,xm)
& doDivides0(xm,xn)
& ~ doDivides0(xl,xn) ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_10,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
doDivides0(xm,xn),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1218]) ).
cnf(c_0_13,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1218]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_15,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
aNaturalNumber0(esk1_2(xm,xn)),
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_17,negated_conjecture,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[m__1218]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_20,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( sdtasdt0(X1,esk1_2(xm,xn)) = sdtasdt0(esk1_2(xm,xn),X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
aNaturalNumber0(esk1_2(xl,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_17]),c_0_18]),c_0_12])]) ).
cnf(c_0_23,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( sdtasdt0(sdtasdt0(X1,X2),esk1_2(xm,xn)) = sdtasdt0(X1,sdtasdt0(X2,esk1_2(xm,xn)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
sdtasdt0(esk1_2(xl,xm),esk1_2(xm,xn)) = sdtasdt0(esk1_2(xm,xn),esk1_2(xl,xm)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( X1 = sdtasdt0(X2,esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( aNaturalNumber0(sdtasdt0(X1,esk1_2(xm,xn)))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( sdtasdt0(sdtasdt0(X1,esk1_2(xl,xm)),esk1_2(xm,xn)) = sdtasdt0(X1,sdtasdt0(esk1_2(xm,xn),esk1_2(xl,xm)))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
sdtasdt0(xl,esk1_2(xl,xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_18]),c_0_12])]) ).
cnf(c_0_30,negated_conjecture,
sdtasdt0(xm,esk1_2(xm,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_31,negated_conjecture,
aNaturalNumber0(sdtasdt0(esk1_2(xl,xm),esk1_2(xm,xn))),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_32,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,hypothesis,
sdtasdt0(xl,sdtasdt0(esk1_2(xm,xn),esk1_2(xl,xm))) = xn,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_29]),c_0_30]) ).
cnf(c_0_34,negated_conjecture,
aNaturalNumber0(sdtasdt0(esk1_2(xm,xn),esk1_2(xl,xm))),
inference(rw,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_35,hypothesis,
( doDivides0(xl,X1)
| X1 != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_18])]) ).
cnf(c_0_36,negated_conjecture,
~ doDivides0(xl,xn),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_13]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM466+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15 % Command : run_ET %s %d
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Thu Jul 7 00:19:29 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.28/1.46 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.28/1.46 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.28/1.46 # Preprocessing time : 0.015 s
% 0.28/1.46
% 0.28/1.46 # Proof found!
% 0.28/1.46 # SZS status Theorem
% 0.28/1.46 # SZS output start CNFRefutation
% See solution above
% 0.28/1.46 # Proof object total steps : 38
% 0.28/1.46 # Proof object clause steps : 26
% 0.28/1.46 # Proof object formula steps : 12
% 0.28/1.46 # Proof object conjectures : 17
% 0.28/1.46 # Proof object clause conjectures : 14
% 0.28/1.46 # Proof object formula conjectures : 3
% 0.28/1.46 # Proof object initial clauses used : 12
% 0.28/1.46 # Proof object initial formulas used : 6
% 0.28/1.46 # Proof object generating inferences : 13
% 0.28/1.46 # Proof object simplifying inferences : 20
% 0.28/1.46 # Training examples: 0 positive, 0 negative
% 0.28/1.46 # Parsed axioms : 33
% 0.28/1.46 # Removed by relevancy pruning/SinE : 21
% 0.28/1.46 # Initial clauses : 23
% 0.28/1.46 # Removed in clause preprocessing : 1
% 0.28/1.46 # Initial clauses in saturation : 22
% 0.28/1.46 # Processed clauses : 2500
% 0.28/1.46 # ...of these trivial : 10
% 0.28/1.46 # ...subsumed : 427
% 0.28/1.46 # ...remaining for further processing : 2063
% 0.28/1.46 # Other redundant clauses eliminated : 0
% 0.28/1.46 # Clauses deleted for lack of memory : 0
% 0.28/1.46 # Backward-subsumed : 2
% 0.28/1.46 # Backward-rewritten : 343
% 0.28/1.46 # Generated clauses : 45521
% 0.28/1.46 # ...of the previous two non-trivial : 45299
% 0.28/1.46 # Contextual simplify-reflections : 42
% 0.28/1.46 # Paramodulations : 45457
% 0.28/1.46 # Factorizations : 0
% 0.28/1.46 # Equation resolutions : 64
% 0.28/1.46 # Current number of processed clauses : 1718
% 0.28/1.46 # Positive orientable unit clauses : 558
% 0.28/1.46 # Positive unorientable unit clauses: 0
% 0.28/1.46 # Negative unit clauses : 2
% 0.28/1.46 # Non-unit-clauses : 1158
% 0.28/1.46 # Current number of unprocessed clauses: 36035
% 0.28/1.46 # ...number of literals in the above : 56370
% 0.28/1.46 # Current number of archived formulas : 0
% 0.28/1.46 # Current number of archived clauses : 345
% 0.28/1.46 # Clause-clause subsumption calls (NU) : 60521
% 0.28/1.46 # Rec. Clause-clause subsumption calls : 57364
% 0.28/1.46 # Non-unit clause-clause subsumptions : 462
% 0.28/1.46 # Unit Clause-clause subsumption calls : 4167
% 0.28/1.46 # Rewrite failures with RHS unbound : 0
% 0.28/1.46 # BW rewrite match attempts : 3589
% 0.28/1.46 # BW rewrite match successes : 127
% 0.28/1.46 # Condensation attempts : 0
% 0.28/1.46 # Condensation successes : 0
% 0.28/1.46 # Termbank termtop insertions : 1244239
% 0.28/1.46
% 0.28/1.46 # -------------------------------------------------
% 0.28/1.46 # User time : 0.480 s
% 0.28/1.46 # System time : 0.015 s
% 0.28/1.46 # Total time : 0.495 s
% 0.28/1.46 # Maximum resident set size: 34756 pages
% 0.28/23.45 eprover: CPU time limit exceeded, terminating
% 0.28/23.45 eprover: CPU time limit exceeded, terminating
% 0.28/23.46 eprover: CPU time limit exceeded, terminating
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.53 eprover: No such file or directory
%------------------------------------------------------------------------------