TSTP Solution File: NUM547+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM547+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 19:07:39 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 107 ( 22 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 142 ( 59 ~; 57 |; 19 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 34 ( 1 sgn; 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',m__) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',mDefSub) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',mDefSel) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',mDefEmp) ).
fof(m__2227,hypothesis,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',m__2227) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',m__2202) ).
fof(m__2202_02,hypothesis,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p',m__2202_02) ).
fof(c_0_7,negated_conjecture,
~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,plain,
! [X13,X14,X15,X16] :
( ( aSet0(X14)
| ~ aSubsetOf0(X14,X13)
| ~ aSet0(X13) )
& ( ~ aElementOf0(X15,X14)
| aElementOf0(X15,X13)
| ~ aSubsetOf0(X14,X13)
| ~ aSet0(X13) )
& ( aElementOf0(esk2_2(X13,X16),X16)
| ~ aSet0(X16)
| aSubsetOf0(X16,X13)
| ~ aSet0(X13) )
& ( ~ aElementOf0(esk2_2(X13,X16),X13)
| ~ aSet0(X16)
| aSubsetOf0(X16,X13)
| ~ aSet0(X13) ) ),
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)],[mDefSub])])])])])]) ).
fof(c_0_9,plain,
! [X110,X111,X112,X113,X114,X115] :
( ( aSet0(X112)
| X112 != slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) )
& ( aSubsetOf0(X113,X110)
| ~ aElementOf0(X113,X112)
| X112 != slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) )
& ( sbrdtbr0(X113) = X111
| ~ aElementOf0(X113,X112)
| X112 != slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) )
& ( ~ aSubsetOf0(X114,X110)
| sbrdtbr0(X114) != X111
| aElementOf0(X114,X112)
| X112 != slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X110,X111,X115),X115)
| ~ aSubsetOf0(esk11_3(X110,X111,X115),X110)
| sbrdtbr0(esk11_3(X110,X111,X115)) != X111
| ~ aSet0(X115)
| X115 = slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X110,X111,X115),X110)
| aElementOf0(esk11_3(X110,X111,X115),X115)
| ~ aSet0(X115)
| X115 = slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X110,X111,X115)) = X111
| aElementOf0(esk11_3(X110,X111,X115),X115)
| ~ aSet0(X115)
| X115 = slbdtsldtrb0(X110,X111)
| ~ aSet0(X110)
| ~ aElementOf0(X111,szNzAzT0) ) ),
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)],[mDefSel])])])])])]) ).
fof(c_0_10,negated_conjecture,
! [X123] : ~ aElementOf0(X123,slbdtsldtrb0(xS,xk)),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_11,plain,
! [X7,X8,X9] :
( ( aSet0(X7)
| X7 != slcrc0 )
& ( ~ aElementOf0(X8,X7)
| X7 != slcrc0 )
& ( ~ aSet0(X9)
| aElementOf0(esk1_1(X9),X9)
| X9 = slcrc0 ) ),
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)],[mDefEmp])])])])])]) ).
cnf(c_0_12,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[m__2227]) ).
cnf(c_0_14,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[m__2227]) ).
cnf(c_0_18,hypothesis,
( aSet0(slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_20,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]) ).
cnf(c_0_21,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__2202_02]) ).
cnf(c_0_22,negated_conjecture,
~ aSet0(slbdtsldtrb0(xS,xk)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM547+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 14:47:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.eUClVHoxyA/E---3.1_2376.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2453 completed with status 0
% 0.16/0.45 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGHSF-FSMM31-MFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.45 # Starting sh5l with 136s (1) cores
% 0.16/0.45 # SAT001_MinMin_p005000_rr_RG with pid 2457 completed with status 0
% 0.16/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGHSF-FSMM31-MFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.45 # Preprocessing time : 0.002 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 65
% 0.16/0.45 # Removed by relevancy pruning/SinE : 0
% 0.16/0.45 # Initial clauses : 118
% 0.16/0.45 # Removed in clause preprocessing : 6
% 0.16/0.45 # Initial clauses in saturation : 112
% 0.16/0.45 # Processed clauses : 200
% 0.16/0.45 # ...of these trivial : 0
% 0.16/0.45 # ...subsumed : 2
% 0.16/0.45 # ...remaining for further processing : 198
% 0.16/0.45 # Other redundant clauses eliminated : 31
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 0
% 0.16/0.45 # Generated clauses : 61
% 0.16/0.45 # ...of the previous two non-redundant : 46
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 12
% 0.16/0.45 # Paramodulations : 33
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 31
% 0.16/0.45 # Total rewrite steps : 30
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 59
% 0.16/0.45 # Positive orientable unit clauses : 15
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 7
% 0.16/0.45 # Non-unit-clauses : 37
% 0.16/0.45 # Current number of unprocessed clauses: 70
% 0.16/0.45 # ...number of literals in the above : 318
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 112
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 3792
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 884
% 0.16/0.45 # Non-unit clause-clause subsumptions : 13
% 0.16/0.45 # Unit Clause-clause subsumption calls : 26
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 0
% 0.16/0.45 # BW rewrite match successes : 0
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 9587
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.013 s
% 0.16/0.45 # System time : 0.002 s
% 0.16/0.45 # Total time : 0.015 s
% 0.16/0.45 # Maximum resident set size: 2096 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.053 s
% 0.16/0.45 # System time : 0.005 s
% 0.16/0.45 # Total time : 0.057 s
% 0.16/0.45 # Maximum resident set size: 1748 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------