TSTP Solution File: RNG049+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG049+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 20:26:43 EDT 2022
% Result : Theorem 0.22s 1.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 120 ( 29 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 142 ( 60 ~; 57 |; 14 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 1 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mPosMon) ).
fof(m__1568,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1568) ).
fof(m__1590,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
& sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1590) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScPr) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).
fof(mElmSc,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aNaturalNumber0(X2) )
=> aScalar0(sdtlbdtrb0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mElmSc) ).
fof(mDefInit,axiom,
! [X1] :
( aVector0(X1)
=> ( aDimensionOf0(X1) != sz00
=> ! [X2] :
( X2 = sziznziztdt0(X1)
<=> ( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
& ! [X3] :
( aNaturalNumber0(X3)
=> sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefInit) ).
fof(m__1542,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1542) ).
fof(m__1542_01,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1542_01) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDimNat) ).
fof(c_0_11,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_12,plain,
! [X3,X4] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).
fof(c_0_13,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(split_conjunct,[status(thm)],[m__1568]) ).
cnf(c_0_16,hypothesis,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(split_conjunct,[status(thm)],[m__1590]) ).
cnf(c_0_17,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(split_conjunct,[status(thm)],[m__1590]) ).
cnf(c_0_18,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aScalar0(sdtasasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])]) ).
cnf(c_0_20,hypothesis,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
inference(sr,[status(thm)],[inference(cn,[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]) ).
cnf(c_0_21,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,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_23,hypothesis,
( ~ aVector0(sziznziztdt0(xs))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aNaturalNumber0(X4)
| aScalar0(sdtlbdtrb0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mElmSc])]) ).
fof(c_0_26,plain,
! [X4,X5,X6,X5] :
( ( aVector0(X5)
| X5 != sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( szszuzczcdt0(aDimensionOf0(X5)) = aDimensionOf0(X4)
| X5 != sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( ~ aNaturalNumber0(X6)
| sdtlbdtrb0(X5,X6) = sdtlbdtrb0(X4,X6)
| X5 != sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( aNaturalNumber0(esk1_2(X4,X5))
| ~ aVector0(X5)
| szszuzczcdt0(aDimensionOf0(X5)) != aDimensionOf0(X4)
| X5 = sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( sdtlbdtrb0(X5,esk1_2(X4,X5)) != sdtlbdtrb0(X4,esk1_2(X4,X5))
| ~ aVector0(X5)
| szszuzczcdt0(aDimensionOf0(X5)) != aDimensionOf0(X4)
| X5 = sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(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)],[mDefInit])])])])])])]) ).
cnf(c_0_27,hypothesis,
( ~ aVector0(sziznziztdt0(xs))
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1542]) ).
cnf(c_0_30,plain,
( aDimensionOf0(X1) = sz00
| aVector0(X2)
| ~ aVector0(X1)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,hypothesis,
( ~ aVector0(sziznziztdt0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xs)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_32,plain,
( aDimensionOf0(X1) = sz00
| aVector0(sziznziztdt0(X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_33,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1542_01]) ).
fof(c_0_34,plain,
! [X2] :
( ~ aVector0(X2)
| aNaturalNumber0(aDimensionOf0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])]) ).
cnf(c_0_35,hypothesis,
~ aNaturalNumber0(aDimensionOf0(xs)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29])]),c_0_33]) ).
cnf(c_0_36,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG049+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 15:23:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.22/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.42 # Preprocessing time : 0.018 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 : 38
% 0.22/1.42 # Proof object clause steps : 19
% 0.22/1.42 # Proof object formula steps : 19
% 0.22/1.42 # Proof object conjectures : 4
% 0.22/1.42 # Proof object clause conjectures : 1
% 0.22/1.42 # Proof object formula conjectures : 3
% 0.22/1.42 # Proof object initial clauses used : 12
% 0.22/1.42 # Proof object initial formulas used : 11
% 0.22/1.42 # Proof object generating inferences : 7
% 0.22/1.42 # Proof object simplifying inferences : 11
% 0.22/1.42 # Training examples: 0 positive, 0 negative
% 0.22/1.42 # Parsed axioms : 42
% 0.22/1.42 # Removed by relevancy pruning/SinE : 4
% 0.22/1.42 # Initial clauses : 50
% 0.22/1.42 # Removed in clause preprocessing : 5
% 0.22/1.42 # Initial clauses in saturation : 45
% 0.22/1.42 # Processed clauses : 71
% 0.22/1.42 # ...of these trivial : 0
% 0.22/1.42 # ...subsumed : 8
% 0.22/1.42 # ...remaining for further processing : 63
% 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 : 3
% 0.22/1.42 # Backward-rewritten : 1
% 0.22/1.42 # Generated clauses : 198
% 0.22/1.42 # ...of the previous two non-trivial : 182
% 0.22/1.42 # Contextual simplify-reflections : 0
% 0.22/1.42 # Paramodulations : 191
% 0.22/1.42 # Factorizations : 0
% 0.22/1.42 # Equation resolutions : 7
% 0.22/1.42 # Current number of processed clauses : 59
% 0.22/1.42 # Positive orientable unit clauses : 7
% 0.22/1.42 # Positive unorientable unit clauses: 0
% 0.22/1.42 # Negative unit clauses : 3
% 0.22/1.42 # Non-unit-clauses : 49
% 0.22/1.42 # Current number of unprocessed clauses: 147
% 0.22/1.42 # ...number of literals in the above : 906
% 0.22/1.42 # Current number of archived formulas : 0
% 0.22/1.42 # Current number of archived clauses : 4
% 0.22/1.42 # Clause-clause subsumption calls (NU) : 448
% 0.22/1.42 # Rec. Clause-clause subsumption calls : 139
% 0.22/1.42 # Non-unit clause-clause subsumptions : 10
% 0.22/1.42 # Unit Clause-clause subsumption calls : 11
% 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 : 7852
% 0.22/1.42
% 0.22/1.42 # -------------------------------------------------
% 0.22/1.42 # User time : 0.024 s
% 0.22/1.42 # System time : 0.002 s
% 0.22/1.42 # Total time : 0.026 s
% 0.22/1.42 # Maximum resident set size: 3340 pages
% 0.22/23.42 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------