%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 60 ( 30 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 55 ( 16 ~; 12 |; 16 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) ) )
=> ( ( aVector0(sziznziztdt0(xt))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) ) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDimNat) ).
fof(mSuccEqu,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccEqu) ).
fof(m__1329_01,hypothesis,
( aDimensionOf0(xs) = aDimensionOf0(xt)
& aDimensionOf0(xt) != sz00 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1329_01) ).
fof(c_0_4,negated_conjecture,
~ ( ( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) ) )
=> ( ( aVector0(sziznziztdt0(xt))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) ) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,plain,
! [X2] :
( ~ aVector0(X2)
| aNaturalNumber0(aDimensionOf0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])]) ).
fof(c_0_6,negated_conjecture,
! [X2,X3] :
( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(sziznziztdt0(xs),X2) = sdtlbdtrb0(xs,X2) )
& aVector0(sziznziztdt0(xt))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(sziznziztdt0(xt),X3) = sdtlbdtrb0(xt,X3) )
& aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| szszuzczcdt0(X3) != szszuzczcdt0(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])]) ).
cnf(c_0_8,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
aVector0(sziznziztdt0(xs)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1329_01]) ).
cnf(c_0_15,negated_conjecture,
aVector0(sziznziztdt0(xt)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( X1 = aDimensionOf0(sziznziztdt0(xs))
| szszuzczcdt0(X1) != aDimensionOf0(xs)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_17,negated_conjecture,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xs),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
inference(spm,[status(thm)],[c_0_8,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.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 18:50:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.016 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 21
% 0.22/1.41 # Proof object clause steps : 13
% 0.22/1.41 # Proof object formula steps : 8
% 0.22/1.41 # Proof object conjectures : 13
% 0.22/1.41 # Proof object clause conjectures : 10
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 8
% 0.22/1.41 # Proof object initial formulas used : 4
% 0.22/1.41 # Proof object generating inferences : 4
% 0.22/1.41 # Proof object simplifying inferences : 6
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 35
% 0.22/1.41 # Removed by relevancy pruning/SinE : 22
% 0.22/1.41 # Initial clauses : 27
% 0.22/1.41 # Removed in clause preprocessing : 3
% 0.22/1.41 # Initial clauses in saturation : 24
% 0.22/1.41 # Processed clauses : 33
% 0.22/1.41 # ...of these trivial : 1
% 0.22/1.41 # ...subsumed : 2
% 0.22/1.41 # ...remaining for further processing : 30
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 1
% 0.22/1.41 # Generated clauses : 29
% 0.22/1.41 # ...of the previous two non-trivial : 26
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 24
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 5
% 0.22/1.41 # Current number of processed clauses : 29
% 0.22/1.41 # Positive orientable unit clauses : 11
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 2
% 0.22/1.41 # Non-unit-clauses : 16
% 0.22/1.41 # Current number of unprocessed clauses: 17
% 0.22/1.41 # ...number of literals in the above : 73
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 1
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 19
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 1
% 0.22/1.41 # Non-unit clause-clause subsumptions : 0
% 0.22/1.41 # Unit Clause-clause subsumption calls : 2
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 3
% 0.22/1.41 # BW rewrite match successes : 1
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 2144
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.015 s
% 0.22/1.41 # System time : 0.003 s
% 0.22/1.41 # Total time : 0.018 s
% 0.22/1.41 # Maximum resident set size: 2996 pages
%------------------------------------------------------------------------------