TSTP Solution File: NUM425+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 09:32:17 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 94 ( 18 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 114 ( 49 ~; 42 |; 17 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 1 sgn 19 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDivisor) ).
fof(mEquMod,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEquMod) ).
fof(m__724,hypothesis,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__724) ).
fof(m__704,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__704) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
fof(c_0_7,negated_conjecture,
~ ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,negated_conjecture,
! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xb)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_9,plain,
! [X4,X5,X5,X7] :
( ( aInteger0(X5)
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( X5 != sz00
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( aInteger0(esk1_2(X4,X5))
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( sdtasdt0(X5,esk1_2(X4,X5)) = X4
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( ~ aInteger0(X5)
| X5 = sz00
| ~ aInteger0(X7)
| sdtasdt0(X5,X7) != X4
| aDivisorOf0(X5,X4)
| ~ aInteger0(X4) ) ),
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)],[mDivisor])])])])])])]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ( ~ sdteqdtlpzmzozddtrp0(X4,X5,X6)
| aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 )
& ( ~ aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5)))
| sdteqdtlpzmzozddtrp0(X4,X5,X6)
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| X6 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquMod])])]) ).
cnf(c_0_11,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( sdtasdt0(X2,esk1_2(X1,X2)) = X1
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(split_conjunct,[status(thm)],[m__724]) ).
cnf(c_0_16,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_17,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_18,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_19,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_20,negated_conjecture,
( X1 != sdtpldt0(xa,smndt0(xb))
| ~ aDivisorOf0(xq,X1)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_21,hypothesis,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
cnf(c_0_23,hypothesis,
~ aInteger0(sdtpldt0(xa,smndt0(xb))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_26,hypothesis,
~ aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_16])]) ).
cnf(c_0_27,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.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 : Wed Jul 6 20:43:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.40 # Preprocessing time : 0.009 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 29
% 0.23/1.40 # Proof object clause steps : 16
% 0.23/1.40 # Proof object formula steps : 13
% 0.23/1.40 # Proof object conjectures : 5
% 0.23/1.40 # Proof object clause conjectures : 2
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 11
% 0.23/1.40 # Proof object initial formulas used : 7
% 0.23/1.40 # Proof object generating inferences : 5
% 0.23/1.40 # Proof object simplifying inferences : 10
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 23
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 37
% 0.23/1.40 # Removed in clause preprocessing : 1
% 0.23/1.40 # Initial clauses in saturation : 36
% 0.23/1.40 # Processed clauses : 70
% 0.23/1.40 # ...of these trivial : 4
% 0.23/1.40 # ...subsumed : 19
% 0.23/1.40 # ...remaining for further processing : 47
% 0.23/1.40 # Other redundant clauses eliminated : 3
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 1
% 0.23/1.40 # Generated clauses : 157
% 0.23/1.40 # ...of the previous two non-trivial : 135
% 0.23/1.40 # Contextual simplify-reflections : 5
% 0.23/1.40 # Paramodulations : 153
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 4
% 0.23/1.40 # Current number of processed clauses : 46
% 0.23/1.40 # Positive orientable unit clauses : 9
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 5
% 0.23/1.40 # Non-unit-clauses : 32
% 0.23/1.40 # Current number of unprocessed clauses: 101
% 0.23/1.40 # ...number of literals in the above : 444
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 1
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 285
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 146
% 0.23/1.40 # Non-unit clause-clause subsumptions : 21
% 0.23/1.40 # Unit Clause-clause subsumption calls : 127
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 1
% 0.23/1.40 # BW rewrite match successes : 1
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 4235
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.010 s
% 0.23/1.40 # System time : 0.001 s
% 0.23/1.40 # Total time : 0.011 s
% 0.23/1.40 # Maximum resident set size: 3056 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------