TSTP Solution File: RNG080+2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : RNG080+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 19:15:02 EDT 2023
% Result : Theorem 0.38s 0.85s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 26 unt; 0 def)
% Number of atoms : 85 ( 51 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 58 ( 17 ~; 14 |; 23 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',mDefSPN) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1709) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1726) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1766) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1678_01) ).
fof(m__1678,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1678) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1746) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1692) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1783) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1837) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1820) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1873) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1800) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__1854) ).
fof(m__2733,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p',m__2733) ).
fof(c_0_16,plain,
! [X36,X37] :
( ~ aVector0(X36)
| ~ aVector0(X37)
| aDimensionOf0(X36) != aDimensionOf0(X37)
| aDimensionOf0(X37) = sz00
| sdtasasdt0(X36,X37) = sdtpldt0(sdtasasdt0(sziznziztdt0(X36),sziznziztdt0(X37)),sdtasdt0(sdtlbdtrb0(X36,aDimensionOf0(X36)),sdtlbdtrb0(X37,aDimensionOf0(X37)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPN])]) ).
fof(c_0_17,hypothesis,
! [X7] :
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X7)
| sdtlbdtrb0(xp,X7) = sdtlbdtrb0(xs,X7) )
& xp = sziznziztdt0(xs) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])]) ).
fof(c_0_18,hypothesis,
! [X8] :
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X8)
| sdtlbdtrb0(xq,X8) = sdtlbdtrb0(xt,X8) )
& xq = sziznziztdt0(xt) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])]) ).
cnf(c_0_19,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_20,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
cnf(c_0_21,plain,
( aDimensionOf0(X2) = sz00
| sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_23,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_25,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1692]) ).
cnf(c_0_26,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_27,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_29,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_30,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_31,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_32,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_33,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(sr,[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_21,c_0_26]),c_0_27]),c_0_20]),c_0_28]),c_0_20]),c_0_20]),c_0_25]) ).
cnf(c_0_34,hypothesis,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_35,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_36,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_37,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_38,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_23]),c_0_31]),c_0_32]),c_0_22])]) ).
cnf(c_0_40,hypothesis,
sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_23]),c_0_34]),c_0_35]),c_0_22])]) ).
cnf(c_0_41,hypothesis,
sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
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(spm,[status(thm)],[c_0_33,c_0_20]),c_0_27]),c_0_36]),c_0_28]),c_0_37]),c_0_26])]) ).
cnf(c_0_42,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(split_conjunct,[status(thm)],[m__2733]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_40]),c_0_41]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : RNG080+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n008.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 19:49:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.52 Running first-order theorem proving
% 0.21/0.52 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.BJv3MmtjBt/E---3.1_10201.p
% 0.38/0.85 # Version: 3.1pre001
% 0.38/0.85 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.85 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.85 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.85 # Starting sh5l with 300s (1) cores
% 0.38/0.85 # new_bool_1 with pid 10336 completed with status 0
% 0.38/0.85 # Result found by new_bool_1
% 0.38/0.85 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.85 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.85 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.85 # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.38/0.85 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.38/0.85 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10338 completed with status 0
% 0.38/0.85 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.38/0.85 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.85 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.85 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.85 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.85 # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.38/0.85 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.38/0.85 # Preprocessing time : 0.003 s
% 0.38/0.85 # Presaturation interreduction done
% 0.38/0.85
% 0.38/0.85 # Proof found!
% 0.38/0.85 # SZS status Theorem
% 0.38/0.85 # SZS output start CNFRefutation
% See solution above
% 0.38/0.85 # Parsed axioms : 59
% 0.38/0.85 # Removed by relevancy pruning/SinE : 4
% 0.38/0.85 # Initial clauses : 85
% 0.38/0.85 # Removed in clause preprocessing : 5
% 0.38/0.85 # Initial clauses in saturation : 80
% 0.38/0.85 # Processed clauses : 1987
% 0.38/0.85 # ...of these trivial : 75
% 0.38/0.85 # ...subsumed : 698
% 0.38/0.85 # ...remaining for further processing : 1214
% 0.38/0.85 # Other redundant clauses eliminated : 3
% 0.38/0.85 # Clauses deleted for lack of memory : 0
% 0.38/0.85 # Backward-subsumed : 81
% 0.38/0.85 # Backward-rewritten : 28
% 0.38/0.85 # Generated clauses : 12149
% 0.38/0.85 # ...of the previous two non-redundant : 11588
% 0.38/0.85 # ...aggressively subsumed : 0
% 0.38/0.85 # Contextual simplify-reflections : 51
% 0.38/0.85 # Paramodulations : 12135
% 0.38/0.85 # Factorizations : 0
% 0.38/0.85 # NegExts : 0
% 0.38/0.85 # Equation resolutions : 14
% 0.38/0.85 # Total rewrite steps : 13884
% 0.38/0.85 # Propositional unsat checks : 0
% 0.38/0.85 # Propositional check models : 0
% 0.38/0.85 # Propositional check unsatisfiable : 0
% 0.38/0.85 # Propositional clauses : 0
% 0.38/0.85 # Propositional clauses after purity: 0
% 0.38/0.85 # Propositional unsat core size : 0
% 0.38/0.85 # Propositional preprocessing time : 0.000
% 0.38/0.85 # Propositional encoding time : 0.000
% 0.38/0.85 # Propositional solver time : 0.000
% 0.38/0.85 # Success case prop preproc time : 0.000
% 0.38/0.85 # Success case prop encoding time : 0.000
% 0.38/0.85 # Success case prop solver time : 0.000
% 0.38/0.85 # Current number of processed clauses : 1022
% 0.38/0.85 # Positive orientable unit clauses : 170
% 0.38/0.85 # Positive unorientable unit clauses: 0
% 0.38/0.85 # Negative unit clauses : 4
% 0.38/0.85 # Non-unit-clauses : 848
% 0.38/0.85 # Current number of unprocessed clauses: 9687
% 0.38/0.85 # ...number of literals in the above : 45984
% 0.38/0.85 # Current number of archived formulas : 0
% 0.38/0.85 # Current number of archived clauses : 189
% 0.38/0.85 # Clause-clause subsumption calls (NU) : 189111
% 0.38/0.85 # Rec. Clause-clause subsumption calls : 95628
% 0.38/0.85 # Non-unit clause-clause subsumptions : 812
% 0.38/0.85 # Unit Clause-clause subsumption calls : 1823
% 0.38/0.85 # Rewrite failures with RHS unbound : 0
% 0.38/0.85 # BW rewrite match attempts : 15
% 0.38/0.85 # BW rewrite match successes : 9
% 0.38/0.85 # Condensation attempts : 0
% 0.38/0.85 # Condensation successes : 0
% 0.38/0.85 # Termbank termtop insertions : 248629
% 0.38/0.85
% 0.38/0.85 # -------------------------------------------------
% 0.38/0.85 # User time : 0.293 s
% 0.38/0.85 # System time : 0.019 s
% 0.38/0.85 # Total time : 0.312 s
% 0.38/0.85 # Maximum resident set size: 2028 pages
% 0.38/0.85
% 0.38/0.85 # -------------------------------------------------
% 0.38/0.85 # User time : 0.296 s
% 0.38/0.85 # System time : 0.022 s
% 0.38/0.85 # Total time : 0.319 s
% 0.38/0.85 # Maximum resident set size: 1748 pages
% 0.38/0.85 % E---3.1 exiting
% 0.38/0.85 % E---3.1 exiting
%------------------------------------------------------------------------------