%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG081+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 20:26:50 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 198 ( 90 equ)
% Maximal formula atoms : 65 ( 7 avg)
% Number of connectives : 204 ( 34 ~; 59 |; 102 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 14 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aDimensionOf0(xs) != sz00
=> ? [X1] :
( aVector0(X1)
& X1 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& X2 = sziznziztdt0(xt)
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X2,X2)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasasdt0(X1,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X4,X4)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X3,X4)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X5,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X10)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X8,X6)
& ? [X14] :
( aScalar0(X14)
& X14 = sdtasdt0(X11,X13)
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
& sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefSPZ,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) = sz00 )
=> sdtasasdt0(X1,X2) = sz0z00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSPZ) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1678_01) ).
fof(m__1678,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1678) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScSqPos) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSZeroSc) ).
fof(c_0_7,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X1] :
( aVector0(X1)
& X1 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& X2 = sziznziztdt0(xt)
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X2,X2)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasasdt0(X1,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X4,X4)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X3,X4)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X5,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X10)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X8,X6)
& ? [X14] :
( aScalar0(X14)
& X14 = sdtasdt0(X11,X13)
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
& sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,negated_conjecture,
( ( aVector0(esk1_0)
| aDimensionOf0(xs) = sz00 )
& ( esk1_0 = sziznziztdt0(xs)
| aDimensionOf0(xs) = sz00 )
& ( aVector0(esk2_0)
| aDimensionOf0(xs) = sz00 )
& ( esk2_0 = sziznziztdt0(xt)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk3_0)
| aDimensionOf0(xs) = sz00 )
& ( esk3_0 = sdtlbdtrb0(xs,aDimensionOf0(xs))
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk4_0)
| aDimensionOf0(xs) = sz00 )
& ( esk4_0 = sdtlbdtrb0(xt,aDimensionOf0(xt))
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk5_0)
| aDimensionOf0(xs) = sz00 )
& ( esk5_0 = sdtasasdt0(esk1_0,esk1_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk6_0)
| aDimensionOf0(xs) = sz00 )
& ( esk6_0 = sdtasasdt0(esk2_0,esk2_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk7_0)
| aDimensionOf0(xs) = sz00 )
& ( esk7_0 = sdtasasdt0(esk1_0,esk2_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk8_0)
| aDimensionOf0(xs) = sz00 )
& ( esk8_0 = sdtasdt0(esk3_0,esk3_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk9_0)
| aDimensionOf0(xs) = sz00 )
& ( esk9_0 = sdtasdt0(esk4_0,esk4_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk10_0)
| aDimensionOf0(xs) = sz00 )
& ( esk10_0 = sdtasdt0(esk3_0,esk4_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk11_0)
| aDimensionOf0(xs) = sz00 )
& ( esk11_0 = sdtasdt0(esk5_0,esk9_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk12_0)
| aDimensionOf0(xs) = sz00 )
& ( esk12_0 = sdtasdt0(esk7_0,esk10_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk13_0)
| aDimensionOf0(xs) = sz00 )
& ( esk13_0 = sdtasdt0(esk8_0,esk6_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk14_0)
| aDimensionOf0(xs) = sz00 )
& ( esk14_0 = sdtasdt0(esk11_0,esk13_0)
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtasdt0(esk7_0,esk7_0),sdtasdt0(esk5_0,esk6_0))
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtpldt0(esk12_0,esk12_0),sdtpldt0(esk11_0,esk13_0))
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk7_0,esk10_0)),sdtasdt0(sdtpldt0(esk5_0,esk8_0),sdtpldt0(esk6_0,esk9_0)))
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) = sz00 )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(distribute,[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)],[c_0_7])])])])])]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) != sz00
| sdtasasdt0(X3,X4) = sz0z00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPZ])]) ).
cnf(c_0_10,negated_conjecture,
( aDimensionOf0(xs) = sz00
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
cnf(c_0_12,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X2) != sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
aDimensionOf0(xt) = sz00,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_16,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
fof(c_0_17,plain,
! [X2] :
( ~ aVector0(X2)
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
cnf(c_0_18,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11]),c_0_14]),c_0_14]),c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_19,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sz0z00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]),c_0_15])]) ).
fof(c_0_21,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtasdt0(X5,X7),sdtasdt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
cnf(c_0_22,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| aDimensionOf0(X1) != sz00
| ~ aVector0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_23,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_11]),c_0_14]),c_0_16])]) ).
cnf(c_0_24,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,hypothesis,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_15]),c_0_14])]) ).
cnf(c_0_26,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG081+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 09:04:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.021 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 28
% 0.22/1.40 # Proof object clause steps : 16
% 0.22/1.40 # Proof object formula steps : 12
% 0.22/1.40 # Proof object conjectures : 10
% 0.22/1.40 # Proof object clause conjectures : 7
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 9
% 0.22/1.40 # Proof object initial formulas used : 7
% 0.22/1.40 # Proof object generating inferences : 6
% 0.22/1.40 # Proof object simplifying inferences : 21
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 41
% 0.22/1.40 # Removed by relevancy pruning/SinE : 4
% 0.22/1.40 # Initial clauses : 81
% 0.22/1.40 # Removed in clause preprocessing : 5
% 0.22/1.40 # Initial clauses in saturation : 76
% 0.22/1.40 # Processed clauses : 91
% 0.22/1.40 # ...of these trivial : 2
% 0.22/1.40 # ...subsumed : 0
% 0.22/1.40 # ...remaining for further processing : 89
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 33
% 0.22/1.40 # Generated clauses : 140
% 0.22/1.40 # ...of the previous two non-trivial : 127
% 0.22/1.40 # Contextual simplify-reflections : 0
% 0.22/1.40 # Paramodulations : 134
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 6
% 0.22/1.40 # Current number of processed clauses : 56
% 0.22/1.40 # Positive orientable unit clauses : 7
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 6
% 0.22/1.40 # Non-unit-clauses : 43
% 0.22/1.40 # Current number of unprocessed clauses: 110
% 0.22/1.40 # ...number of literals in the above : 662
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 33
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 1270
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 483
% 0.22/1.40 # Non-unit clause-clause subsumptions : 0
% 0.22/1.40 # Unit Clause-clause subsumption calls : 37
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 3
% 0.22/1.40 # BW rewrite match successes : 3
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 8497
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.037 s
% 0.22/1.40 # System time : 0.002 s
% 0.22/1.40 # Total time : 0.039 s
% 0.22/1.40 # Maximum resident set size: 3460 pages
%------------------------------------------------------------------------------