TSTP Solution File: RNG047+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:14:51 EDT 2023
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 109 ( 56 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 122 ( 46 ~; 56 |; 12 &)
% ( 1 <=>; 7 =>; 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 : 31 ( 0 sgn; 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',mDefInit) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',mDimNat) ).
fof(mSuccEqu,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',mSuccEqu) ).
fof(mNatExtr,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00 )
=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = szszuzczcdt0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',mNatExtr) ).
fof(m__1329_01,hypothesis,
( aDimensionOf0(xs) = aDimensionOf0(xt)
& aDimensionOf0(xt) != sz00 ),
file('/export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',m__1329_01) ).
fof(m__1329,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',m__1329) ).
fof(m__,conjecture,
aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
file('/export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p',m__) ).
fof(c_0_7,plain,
! [X9,X10,X11,X12] :
( ( aVector0(X10)
| X10 != sziznziztdt0(X9)
| aDimensionOf0(X9) = sz00
| ~ aVector0(X9) )
& ( szszuzczcdt0(aDimensionOf0(X10)) = aDimensionOf0(X9)
| X10 != sziznziztdt0(X9)
| aDimensionOf0(X9) = sz00
| ~ aVector0(X9) )
& ( ~ aNaturalNumber0(X11)
| sdtlbdtrb0(X10,X11) = sdtlbdtrb0(X9,X11)
| X10 != sziznziztdt0(X9)
| aDimensionOf0(X9) = sz00
| ~ aVector0(X9) )
& ( aNaturalNumber0(esk2_2(X9,X12))
| ~ aVector0(X12)
| szszuzczcdt0(aDimensionOf0(X12)) != aDimensionOf0(X9)
| X12 = sziznziztdt0(X9)
| aDimensionOf0(X9) = sz00
| ~ aVector0(X9) )
& ( sdtlbdtrb0(X12,esk2_2(X9,X12)) != sdtlbdtrb0(X9,esk2_2(X9,X12))
| ~ aVector0(X12)
| szszuzczcdt0(aDimensionOf0(X12)) != aDimensionOf0(X9)
| X12 = sziznziztdt0(X9)
| aDimensionOf0(X9) = sz00
| ~ aVector0(X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefInit])])])])])]) ).
fof(c_0_8,plain,
! [X5] :
( ~ aVector0(X5)
| aNaturalNumber0(aDimensionOf0(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])]) ).
cnf(c_0_9,plain,
( aVector0(X1)
| aDimensionOf0(X2) = sz00
| X1 != sziznziztdt0(X2)
| ~ aVector0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X14,X15] :
( ~ aNaturalNumber0(X14)
| ~ aNaturalNumber0(X15)
| szszuzczcdt0(X14) != szszuzczcdt0(X15)
| X14 = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])]) ).
cnf(c_0_11,plain,
( szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| X1 != sziznziztdt0(X2)
| ~ aVector0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( aDimensionOf0(X1) = sz00
| aVector0(sziznziztdt0(X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( aDimensionOf0(X1) = sz00
| aNaturalNumber0(aDimensionOf0(sziznziztdt0(X1)))
| ~ aVector0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,plain,
! [X7] :
( ( aNaturalNumber0(esk1_1(X7))
| ~ aNaturalNumber0(X7)
| X7 = sz00 )
& ( X7 = szszuzczcdt0(esk1_1(X7))
| ~ aNaturalNumber0(X7)
| X7 = sz00 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtr])])])]) ).
cnf(c_0_18,plain,
( aDimensionOf0(sziznziztdt0(X1)) = X2
| aDimensionOf0(X1) = sz00
| aDimensionOf0(X1) != szszuzczcdt0(X2)
| ~ aVector0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,plain,
( X1 = szszuzczcdt0(esk1_1(X1))
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
( esk1_1(aDimensionOf0(X1)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1)
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(X1))) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]),c_0_12]) ).
cnf(c_0_21,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1329_01]) ).
cnf(c_0_22,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1329]) ).
cnf(c_0_23,hypothesis,
aDimensionOf0(xt) != sz00,
inference(split_conjunct,[status(thm)],[m__1329_01]) ).
cnf(c_0_24,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1329]) ).
cnf(c_0_25,hypothesis,
( esk1_1(aDimensionOf0(xt)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(xt))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_26,plain,
( aNaturalNumber0(esk1_1(X1))
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,hypothesis,
aNaturalNumber0(aDimensionOf0(xt)),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
fof(c_0_28,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_29,hypothesis,
esk1_1(aDimensionOf0(xt)) = aDimensionOf0(sziznziztdt0(xs)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_23]) ).
cnf(c_0_30,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,hypothesis,
~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_29]),c_0_24])]),c_0_30]),c_0_23]) ).
cnf(c_0_32,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_21]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 19:44:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.qx7DsXFRL8/E---3.1_13770.p
% 0.20/0.50 # Version: 3.1pre001
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # new_bool_3 with pid 13849 completed with status 0
% 0.20/0.50 # Result found by new_bool_3
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50 # Search class: FGHSF-FFSS21-SFFFFFNN
% 0.20/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50 # SAT001_MinMin_p005000_rr_RG with pid 13852 completed with status 0
% 0.20/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50 # Search class: FGHSF-FFSS21-SFFFFFNN
% 0.20/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50 # Preprocessing time : 0.001 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Theorem
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 35
% 0.20/0.50 # Removed by relevancy pruning/SinE : 22
% 0.20/0.50 # Initial clauses : 21
% 0.20/0.50 # Removed in clause preprocessing : 3
% 0.20/0.50 # Initial clauses in saturation : 18
% 0.20/0.50 # Processed clauses : 53
% 0.20/0.50 # ...of these trivial : 1
% 0.20/0.50 # ...subsumed : 3
% 0.20/0.50 # ...remaining for further processing : 49
% 0.20/0.50 # Other redundant clauses eliminated : 6
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 1
% 0.20/0.50 # Backward-rewritten : 1
% 0.20/0.50 # Generated clauses : 37
% 0.20/0.50 # ...of the previous two non-redundant : 27
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 2
% 0.20/0.50 # Paramodulations : 29
% 0.20/0.50 # Factorizations : 0
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 8
% 0.20/0.50 # Total rewrite steps : 23
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 26
% 0.20/0.50 # Positive orientable unit clauses : 6
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 4
% 0.20/0.50 # Non-unit-clauses : 16
% 0.20/0.50 # Current number of unprocessed clauses: 9
% 0.20/0.50 # ...number of literals in the above : 46
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 20
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 87
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 18
% 0.20/0.50 # Non-unit clause-clause subsumptions : 5
% 0.20/0.50 # Unit Clause-clause subsumption calls : 7
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 1
% 0.20/0.50 # BW rewrite match successes : 1
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 2007
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.007 s
% 0.20/0.50 # System time : 0.000 s
% 0.20/0.50 # Total time : 0.008 s
% 0.20/0.50 # Maximum resident set size: 1864 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.009 s
% 0.20/0.50 # System time : 0.003 s
% 0.20/0.50 # Total time : 0.012 s
% 0.20/0.50 # Maximum resident set size: 1716 pages
% 0.20/0.50 % E---3.1 exiting
% 0.20/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------