TSTP Solution File: RNG046+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG046+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 20:26:42 EDT 2022
% Result : Theorem 0.22s 1.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 74 ( 29 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 82 ( 33 ~; 26 |; 19 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMNeg) ).
fof(m__799,hypothesis,
( aScalar0(xx)
& aScalar0(xy) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__799) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScZero) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNegSc) ).
fof(c_0_6,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
cnf(c_0_9,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
aScalar0(xy),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_12,negated_conjecture,
( smndt0(sdtasdt0(smndt0(xx),xy)) != sdtasdt0(xx,xy)
| ~ aScalar0(smndt0(xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,plain,
( sdtasdt0(smndt0(X2),X1) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
aScalar0(xx),
inference(split_conjunct,[status(thm)],[m__799]) ).
fof(c_0_15,plain,
! [X2] :
( ( sdtpldt0(X2,sz0z00) = X2
| ~ aScalar0(X2) )
& ( sdtpldt0(sz0z00,X2) = X2
| ~ aScalar0(X2) )
& ( sdtasdt0(X2,sz0z00) = sz0z00
| ~ aScalar0(X2) )
& ( sdtasdt0(sz0z00,X2) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(X2,smndt0(X2)) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(smndt0(X2),X2) = sz0z00
| ~ aScalar0(X2) )
& ( smndt0(smndt0(X2)) = X2
| ~ aScalar0(X2) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
cnf(c_0_16,negated_conjecture,
( smndt0(smndt0(sdtasdt0(xx,xy))) != sdtasdt0(xx,xy)
| ~ aScalar0(smndt0(xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_11])]) ).
cnf(c_0_17,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_19,negated_conjecture,
( ~ aScalar0(sdtasdt0(xx,xy))
| ~ aScalar0(smndt0(xx)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X2] :
( ~ aScalar0(X2)
| aScalar0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_22,negated_conjecture,
~ aScalar0(smndt0(xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11]),c_0_14])]) ).
cnf(c_0_23,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG046+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : Mon May 30 18:24:29 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.22/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.42 # Preprocessing time : 0.015 s
% 0.22/1.42
% 0.22/1.42 # Proof found!
% 0.22/1.42 # SZS status Theorem
% 0.22/1.42 # SZS output start CNFRefutation
% See solution above
% 0.22/1.42 # Proof object total steps : 25
% 0.22/1.42 # Proof object clause steps : 13
% 0.22/1.42 # Proof object formula steps : 12
% 0.22/1.42 # Proof object conjectures : 9
% 0.22/1.42 # Proof object clause conjectures : 6
% 0.22/1.42 # Proof object formula conjectures : 3
% 0.22/1.42 # Proof object initial clauses used : 8
% 0.22/1.42 # Proof object initial formulas used : 6
% 0.22/1.42 # Proof object generating inferences : 5
% 0.22/1.42 # Proof object simplifying inferences : 10
% 0.22/1.42 # Training examples: 0 positive, 0 negative
% 0.22/1.42 # Parsed axioms : 19
% 0.22/1.42 # Removed by relevancy pruning/SinE : 0
% 0.22/1.42 # Initial clauses : 34
% 0.22/1.42 # Removed in clause preprocessing : 3
% 0.22/1.42 # Initial clauses in saturation : 31
% 0.22/1.42 # Processed clauses : 44
% 0.22/1.42 # ...of these trivial : 2
% 0.22/1.42 # ...subsumed : 1
% 0.22/1.42 # ...remaining for further processing : 41
% 0.22/1.42 # Other redundant clauses eliminated : 0
% 0.22/1.42 # Clauses deleted for lack of memory : 0
% 0.22/1.42 # Backward-subsumed : 0
% 0.22/1.42 # Backward-rewritten : 1
% 0.22/1.42 # Generated clauses : 106
% 0.22/1.42 # ...of the previous two non-trivial : 92
% 0.22/1.42 # Contextual simplify-reflections : 1
% 0.22/1.42 # Paramodulations : 99
% 0.22/1.42 # Factorizations : 0
% 0.22/1.42 # Equation resolutions : 1
% 0.22/1.42 # Current number of processed clauses : 38
% 0.22/1.42 # Positive orientable unit clauses : 6
% 0.22/1.42 # Positive unorientable unit clauses: 0
% 0.22/1.42 # Negative unit clauses : 2
% 0.22/1.42 # Non-unit-clauses : 30
% 0.22/1.42 # Current number of unprocessed clauses: 74
% 0.22/1.42 # ...number of literals in the above : 322
% 0.22/1.42 # Current number of archived formulas : 0
% 0.22/1.42 # Current number of archived clauses : 1
% 0.22/1.42 # Clause-clause subsumption calls (NU) : 138
% 0.22/1.42 # Rec. Clause-clause subsumption calls : 93
% 0.22/1.42 # Non-unit clause-clause subsumptions : 2
% 0.22/1.42 # Unit Clause-clause subsumption calls : 6
% 0.22/1.42 # Rewrite failures with RHS unbound : 0
% 0.22/1.42 # BW rewrite match attempts : 1
% 0.22/1.42 # BW rewrite match successes : 1
% 0.22/1.42 # Condensation attempts : 0
% 0.22/1.42 # Condensation successes : 0
% 0.22/1.42 # Termbank termtop insertions : 3237
% 0.22/1.42
% 0.22/1.42 # -------------------------------------------------
% 0.22/1.42 # User time : 0.015 s
% 0.22/1.42 # System time : 0.003 s
% 0.22/1.42 # Total time : 0.018 s
% 0.22/1.42 # Maximum resident set size: 2792 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------