TSTP Solution File: NUM590+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM590+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 19:07:51 EDT 2023
% Result : Theorem 38.35s 5.50s
% Output : CNFRefutation 38.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 63 ( 7 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 68 ( 21 ~; 18 |; 23 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1] :
( aElementOf0(X1,xY)
=> aElementOf0(X1,szNzAzT0) )
| aSubsetOf0(xY,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.vHuZsVyhH9/E---3.1_25945.p',m__) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.vHuZsVyhH9/E---3.1_25945.p',m__3671) ).
fof(m__4448_02,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox/tmp/tmp.vHuZsVyhH9/E---3.1_25945.p',m__4448_02) ).
fof(m__4448,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.vHuZsVyhH9/E---3.1_25945.p',m__4448) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( aElementOf0(X1,xY)
=> aElementOf0(X1,szNzAzT0) )
| aSubsetOf0(xY,szNzAzT0) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
! [X42,X43] :
( ( aSet0(sdtlpdtrp0(xN,X42))
| ~ aElementOf0(X42,szNzAzT0) )
& ( ~ aElementOf0(X43,sdtlpdtrp0(xN,X42))
| aElementOf0(X43,szNzAzT0)
| ~ aElementOf0(X42,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X42),szNzAzT0)
| ~ aElementOf0(X42,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X42))
| ~ aElementOf0(X42,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).
fof(c_0_6,hypothesis,
! [X60,X61] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ( ~ aElementOf0(X60,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X60) )
& aSet0(xY)
& ( aElement0(X61)
| ~ aElementOf0(X61,xY) )
& ( aElementOf0(X61,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X61,xY) )
& ( X61 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X61,xY) )
& ( ~ aElement0(X61)
| ~ aElementOf0(X61,sdtlpdtrp0(xN,xi))
| X61 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X61,xY) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4448_02])])])]) ).
fof(c_0_7,negated_conjecture,
( aElementOf0(esk15_0,xY)
& ~ aElementOf0(esk15_0,szNzAzT0)
& ~ aSubsetOf0(xY,szNzAzT0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_8,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4448]) ).
cnf(c_0_10,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,xY) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
aElementOf0(esk15_0,xY),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk15_0,sdtlpdtrp0(xN,xi)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ aElementOf0(esk15_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM590+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Oct 2 14:26:06 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.24/0.53 Running first-order model finding
% 0.24/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.vHuZsVyhH9/E---3.1_25945.p
% 38.35/5.50 # Version: 3.1pre001
% 38.35/5.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 38.35/5.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.35/5.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 38.35/5.50 # Starting new_bool_3 with 300s (1) cores
% 38.35/5.50 # Starting new_bool_1 with 300s (1) cores
% 38.35/5.50 # Starting sh5l with 300s (1) cores
% 38.35/5.50 # new_bool_3 with pid 26023 completed with status 0
% 38.35/5.50 # Result found by new_bool_3
% 38.35/5.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 38.35/5.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.35/5.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 38.35/5.50 # Starting new_bool_3 with 300s (1) cores
% 38.35/5.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 38.35/5.50 # Search class: FGHSF-SMLM32-MFFFFFNN
% 38.35/5.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 38.35/5.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 181s (1) cores
% 38.35/5.50 # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 26027 completed with status 0
% 38.35/5.50 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 38.35/5.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 38.35/5.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.35/5.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 38.35/5.50 # Starting new_bool_3 with 300s (1) cores
% 38.35/5.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 38.35/5.50 # Search class: FGHSF-SMLM32-MFFFFFNN
% 38.35/5.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 38.35/5.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 181s (1) cores
% 38.35/5.50 # Preprocessing time : 0.113 s
% 38.35/5.50 # Presaturation interreduction done
% 38.35/5.50
% 38.35/5.50 # Proof found!
% 38.35/5.50 # SZS status Theorem
% 38.35/5.50 # SZS output start CNFRefutation
% See solution above
% 38.35/5.50 # Parsed axioms : 92
% 38.35/5.50 # Removed by relevancy pruning/SinE : 5
% 38.35/5.50 # Initial clauses : 4806
% 38.35/5.50 # Removed in clause preprocessing : 7
% 38.35/5.50 # Initial clauses in saturation : 4799
% 38.35/5.50 # Processed clauses : 6922
% 38.35/5.50 # ...of these trivial : 2
% 38.35/5.50 # ...subsumed : 909
% 38.35/5.50 # ...remaining for further processing : 6011
% 38.35/5.50 # Other redundant clauses eliminated : 2024
% 38.35/5.50 # Clauses deleted for lack of memory : 0
% 38.35/5.50 # Backward-subsumed : 18
% 38.35/5.50 # Backward-rewritten : 23
% 38.35/5.50 # Generated clauses : 2444
% 38.35/5.50 # ...of the previous two non-redundant : 2418
% 38.35/5.50 # ...aggressively subsumed : 0
% 38.35/5.50 # Contextual simplify-reflections : 69
% 38.35/5.50 # Paramodulations : 618
% 38.35/5.50 # Factorizations : 0
% 38.35/5.50 # NegExts : 0
% 38.35/5.50 # Equation resolutions : 2025
% 38.35/5.50 # Total rewrite steps : 228
% 38.35/5.50 # Propositional unsat checks : 0
% 38.35/5.50 # Propositional check models : 0
% 38.35/5.50 # Propositional check unsatisfiable : 0
% 38.35/5.50 # Propositional clauses : 0
% 38.35/5.50 # Propositional clauses after purity: 0
% 38.35/5.50 # Propositional unsat core size : 0
% 38.35/5.50 # Propositional preprocessing time : 0.000
% 38.35/5.50 # Propositional encoding time : 0.000
% 38.35/5.50 # Propositional solver time : 0.000
% 38.35/5.50 # Success case prop preproc time : 0.000
% 38.35/5.50 # Success case prop encoding time : 0.000
% 38.35/5.50 # Success case prop solver time : 0.000
% 38.35/5.50 # Current number of processed clauses : 243
% 38.35/5.50 # Positive orientable unit clauses : 109
% 38.35/5.50 # Positive unorientable unit clauses: 0
% 38.35/5.50 # Negative unit clauses : 27
% 38.35/5.50 # Non-unit-clauses : 107
% 38.35/5.50 # Current number of unprocessed clauses: 4181
% 38.35/5.50 # ...number of literals in the above : 44565
% 38.35/5.50 # Current number of archived formulas : 0
% 38.35/5.50 # Current number of archived clauses : 3943
% 38.35/5.50 # Clause-clause subsumption calls (NU) : 7985955
% 38.35/5.50 # Rec. Clause-clause subsumption calls : 71847
% 38.35/5.50 # Non-unit clause-clause subsumptions : 976
% 38.35/5.50 # Unit Clause-clause subsumption calls : 1390
% 38.35/5.50 # Rewrite failures with RHS unbound : 0
% 38.35/5.50 # BW rewrite match attempts : 13
% 38.35/5.50 # BW rewrite match successes : 7
% 38.35/5.50 # Condensation attempts : 0
% 38.35/5.50 # Condensation successes : 0
% 38.35/5.50 # Termbank termtop insertions : 663090
% 38.35/5.50
% 38.35/5.50 # -------------------------------------------------
% 38.35/5.50 # User time : 4.903 s
% 38.35/5.50 # System time : 0.037 s
% 38.35/5.50 # Total time : 4.939 s
% 38.35/5.50 # Maximum resident set size: 14016 pages
% 38.35/5.50
% 38.35/5.50 # -------------------------------------------------
% 38.35/5.50 # User time : 4.907 s
% 38.35/5.50 # System time : 0.040 s
% 38.35/5.50 # Total time : 4.947 s
% 38.35/5.50 # Maximum resident set size: 1832 pages
% 38.35/5.50 % E---3.1 exiting
%------------------------------------------------------------------------------