TSTP Solution File: RNG080+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : RNG080+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 2.57s 0.77s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 26 unt; 0 def)
% Number of atoms : 69 ( 41 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 15 ~; 12 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn; 4 !; 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.g7kgnwc41Q/E---3.1_12411.p',mDefSPN) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1766) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1678_01) ).
fof(m__1678,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1678) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1709) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1746) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1692) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1726) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1783) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1837) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1820) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1873) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.p',m__1800) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.g7kgnwc41Q/E---3.1_12411.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.g7kgnwc41Q/E---3.1_12411.p',m__2733) ).
fof(c_0_16,plain,
! [X31,X32] :
( ~ aVector0(X31)
| ~ aVector0(X32)
| aDimensionOf0(X31) != aDimensionOf0(X32)
| aDimensionOf0(X32) = sz00
| sdtasasdt0(X31,X32) = sdtpldt0(sdtasasdt0(sziznziztdt0(X31),sziznziztdt0(X32)),sdtasdt0(sdtlbdtrb0(X31,aDimensionOf0(X31)),sdtlbdtrb0(X32,aDimensionOf0(X32)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPN])]) ).
cnf(c_0_17,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_18,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
cnf(c_0_19,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_20,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_21,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[m__1709]) ).
cnf(c_0_22,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_23,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1692]) ).
cnf(c_0_24,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_25,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[m__1726]) ).
cnf(c_0_26,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_27,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_28,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_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_29,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_30,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_31,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_19,c_0_24]),c_0_25]),c_0_18]),c_0_26]),c_0_18]),c_0_18]),c_0_23]) ).
cnf(c_0_32,hypothesis,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_33,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_34,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_35,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_36,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,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_28,c_0_22]),c_0_21]),c_0_29]),c_0_30]),c_0_20])]) ).
cnf(c_0_38,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_31,c_0_22]),c_0_21]),c_0_32]),c_0_33]),c_0_20])]) ).
cnf(c_0_39,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_31,c_0_18]),c_0_25]),c_0_34]),c_0_26]),c_0_35]),c_0_24])]) ).
cnf(c_0_40,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_41,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_36,c_0_37]),c_0_38]),c_0_38]),c_0_39]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : RNG080+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.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 : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 19:42:04 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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.g7kgnwc41Q/E---3.1_12411.p
% 2.57/0.77 # Version: 3.1pre001
% 2.57/0.77 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.57/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.57/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.57/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.57/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.57/0.77 # Starting sh5l with 300s (1) cores
% 2.57/0.77 # new_bool_3 with pid 12490 completed with status 0
% 2.57/0.77 # Result found by new_bool_3
% 2.57/0.77 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.57/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.57/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.57/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.57/0.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.57/0.77 # Search class: FGHSF-FFMM21-MFFFFFNN
% 2.57/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.57/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 2.57/0.77 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12493 completed with status 0
% 2.57/0.77 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.57/0.77 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.57/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.57/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.57/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.57/0.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.57/0.77 # Search class: FGHSF-FFMM21-MFFFFFNN
% 2.57/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.57/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 2.57/0.77 # Preprocessing time : 0.002 s
% 2.57/0.77 # Presaturation interreduction done
% 2.57/0.77
% 2.57/0.77 # Proof found!
% 2.57/0.77 # SZS status Theorem
% 2.57/0.77 # SZS output start CNFRefutation
% See solution above
% 2.57/0.77 # Parsed axioms : 59
% 2.57/0.77 # Removed by relevancy pruning/SinE : 4
% 2.57/0.77 # Initial clauses : 81
% 2.57/0.77 # Removed in clause preprocessing : 5
% 2.57/0.77 # Initial clauses in saturation : 76
% 2.57/0.77 # Processed clauses : 1987
% 2.57/0.77 # ...of these trivial : 74
% 2.57/0.77 # ...subsumed : 700
% 2.57/0.77 # ...remaining for further processing : 1213
% 2.57/0.77 # Other redundant clauses eliminated : 3
% 2.57/0.77 # Clauses deleted for lack of memory : 0
% 2.57/0.77 # Backward-subsumed : 79
% 2.57/0.77 # Backward-rewritten : 27
% 2.57/0.77 # Generated clauses : 12108
% 2.57/0.77 # ...of the previous two non-redundant : 11548
% 2.57/0.77 # ...aggressively subsumed : 0
% 2.57/0.77 # Contextual simplify-reflections : 51
% 2.57/0.77 # Paramodulations : 12094
% 2.57/0.77 # Factorizations : 0
% 2.57/0.77 # NegExts : 0
% 2.57/0.77 # Equation resolutions : 14
% 2.57/0.77 # Total rewrite steps : 13729
% 2.57/0.77 # Propositional unsat checks : 0
% 2.57/0.77 # Propositional check models : 0
% 2.57/0.77 # Propositional check unsatisfiable : 0
% 2.57/0.77 # Propositional clauses : 0
% 2.57/0.77 # Propositional clauses after purity: 0
% 2.57/0.77 # Propositional unsat core size : 0
% 2.57/0.77 # Propositional preprocessing time : 0.000
% 2.57/0.77 # Propositional encoding time : 0.000
% 2.57/0.77 # Propositional solver time : 0.000
% 2.57/0.77 # Success case prop preproc time : 0.000
% 2.57/0.77 # Success case prop encoding time : 0.000
% 2.57/0.77 # Success case prop solver time : 0.000
% 2.57/0.77 # Current number of processed clauses : 1028
% 2.57/0.77 # Positive orientable unit clauses : 167
% 2.57/0.77 # Positive unorientable unit clauses: 0
% 2.57/0.77 # Negative unit clauses : 4
% 2.57/0.77 # Non-unit-clauses : 857
% 2.57/0.77 # Current number of unprocessed clauses: 9643
% 2.57/0.77 # ...number of literals in the above : 45825
% 2.57/0.77 # Current number of archived formulas : 0
% 2.57/0.77 # Current number of archived clauses : 182
% 2.57/0.77 # Clause-clause subsumption calls (NU) : 197117
% 2.57/0.77 # Rec. Clause-clause subsumption calls : 101802
% 2.57/0.77 # Non-unit clause-clause subsumptions : 812
% 2.57/0.77 # Unit Clause-clause subsumption calls : 1855
% 2.57/0.77 # Rewrite failures with RHS unbound : 0
% 2.57/0.77 # BW rewrite match attempts : 14
% 2.57/0.77 # BW rewrite match successes : 9
% 2.57/0.77 # Condensation attempts : 0
% 2.57/0.77 # Condensation successes : 0
% 2.57/0.77 # Termbank termtop insertions : 246590
% 2.57/0.77
% 2.57/0.77 # -------------------------------------------------
% 2.57/0.77 # User time : 0.298 s
% 2.57/0.77 # System time : 0.009 s
% 2.57/0.77 # Total time : 0.307 s
% 2.57/0.77 # Maximum resident set size: 2008 pages
% 2.57/0.77
% 2.57/0.77 # -------------------------------------------------
% 2.57/0.77 # User time : 0.301 s
% 2.57/0.77 # System time : 0.009 s
% 2.57/0.77 # Total time : 0.310 s
% 2.57/0.77 # Maximum resident set size: 1744 pages
% 2.57/0.77 % E---3.1 exiting
% 2.57/0.78 % E---3.1 exiting
%------------------------------------------------------------------------------