TSTP Solution File: RNG047+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 119 ( 61 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 135 ( 53 ~; 59 |; 14 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 1 sgn 17 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccEqu,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccEqu) ).
fof(mNatExtr,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00 )
=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = szszuzczcdt0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNatExtr) ).
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(mSuccNat,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( aNaturalNumber0(szszuzczcdt0(X1))
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccNat) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDimNat) ).
fof(m__1329_01,hypothesis,
( aDimensionOf0(xs) = aDimensionOf0(xt)
& aDimensionOf0(xt) != sz00 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1329_01) ).
fof(m__,conjecture,
aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__1329,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1329) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| szszuzczcdt0(X3) != szszuzczcdt0(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])]) ).
fof(c_0_9,plain,
! [X3] :
( ( aNaturalNumber0(esk1_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00 )
& ( X3 = szszuzczcdt0(esk1_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00 ) ),
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)],[mNatExtr])])])])])]) ).
fof(c_0_10,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(esk2_2(X4,X5))
| ~ aVector0(X5)
| szszuzczcdt0(aDimensionOf0(X5)) != aDimensionOf0(X4)
| X5 = sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( sdtlbdtrb0(X5,esk2_2(X4,X5)) != sdtlbdtrb0(X4,esk2_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_11,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( X1 = sz00
| X1 = szszuzczcdt0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X2] :
( ( aNaturalNumber0(szszuzczcdt0(X2))
| ~ aNaturalNumber0(X2) )
& ( szszuzczcdt0(X2) != sz00
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNat])])]) ).
fof(c_0_15,plain,
! [X2] :
( ~ aVector0(X2)
| aNaturalNumber0(aDimensionOf0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])]) ).
cnf(c_0_16,plain,
( aDimensionOf0(X1) = sz00
| aVector0(X2)
| ~ aVector0(X1)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( X1 = esk1_1(X2)
| X2 = sz00
| szszuzczcdt0(X1) != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_18,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ aNaturalNumber0(X1)
| szszuzczcdt0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| ~ aVector0(X1)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( aDimensionOf0(X1) = sz00
| aVector0(sziznziztdt0(X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( esk1_1(szszuzczcdt0(X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_24,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( aDimensionOf0(X1) = sz00
| aNaturalNumber0(aDimensionOf0(sziznziztdt0(X1)))
| ~ aVector0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,hypothesis,
aDimensionOf0(xt) != sz00,
inference(split_conjunct,[status(thm)],[m__1329_01]) ).
cnf(c_0_27,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1329_01]) ).
fof(c_0_28,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_29,plain,
( esk1_1(aDimensionOf0(X1)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1329]) ).
cnf(c_0_31,hypothesis,
aDimensionOf0(xs) != sz00,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
cnf(c_0_33,hypothesis,
esk1_1(aDimensionOf0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_30])]),c_0_31]) ).
cnf(c_0_34,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1329]) ).
cnf(c_0_35,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_33]),c_0_34])]),c_0_35]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.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 21:17:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.015 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 : 37
% 0.23/1.40 # Proof object clause steps : 22
% 0.23/1.40 # Proof object formula steps : 15
% 0.23/1.40 # Proof object conjectures : 4
% 0.23/1.40 # Proof object clause conjectures : 1
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 13
% 0.23/1.40 # Proof object initial formulas used : 8
% 0.23/1.40 # Proof object generating inferences : 8
% 0.23/1.40 # Proof object simplifying inferences : 12
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 35
% 0.23/1.40 # Removed by relevancy pruning/SinE : 22
% 0.23/1.40 # Initial clauses : 21
% 0.23/1.40 # Removed in clause preprocessing : 3
% 0.23/1.40 # Initial clauses in saturation : 18
% 0.23/1.40 # Processed clauses : 37
% 0.23/1.40 # ...of these trivial : 1
% 0.23/1.40 # ...subsumed : 4
% 0.23/1.40 # ...remaining for further processing : 32
% 0.23/1.40 # Other redundant clauses eliminated : 4
% 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 : 44
% 0.23/1.40 # ...of the previous two non-trivial : 29
% 0.23/1.40 # Contextual simplify-reflections : 11
% 0.23/1.40 # Paramodulations : 34
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 10
% 0.23/1.40 # Current number of processed clauses : 31
% 0.23/1.40 # Positive orientable unit clauses : 6
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 3
% 0.23/1.40 # Non-unit-clauses : 22
% 0.23/1.40 # Current number of unprocessed clauses: 10
% 0.23/1.40 # ...number of literals in the above : 54
% 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) : 96
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 26
% 0.23/1.40 # Non-unit clause-clause subsumptions : 15
% 0.23/1.40 # Unit Clause-clause subsumption calls : 6
% 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 : 2042
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.016 s
% 0.23/1.40 # System time : 0.001 s
% 0.23/1.40 # Total time : 0.017 s
% 0.23/1.40 # Maximum resident set size: 3004 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------