TSTP Solution File: NUM489+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM489+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 19:07:22 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 44 ( 15 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 20 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pOt2Y3mGB1/E---3.1_17717.p',mDefDiff) ).
fof(m__,conjecture,
xn = sdtpldt0(xp,xr),
file('/export/starexec/sandbox2/tmp/tmp.pOt2Y3mGB1/E---3.1_17717.p',m__) ).
fof(m__1870,hypothesis,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/tmp/tmp.pOt2Y3mGB1/E---3.1_17717.p',m__1870) ).
fof(m__1883,hypothesis,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox2/tmp/tmp.pOt2Y3mGB1/E---3.1_17717.p',m__1883) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp.pOt2Y3mGB1/E---3.1_17717.p',m__1837) ).
fof(c_0_5,plain,
! [X80,X81,X82] :
( ( aNaturalNumber0(X82)
| X82 != sdtmndt0(X81,X80)
| ~ sdtlseqdt0(X80,X81)
| ~ aNaturalNumber0(X80)
| ~ aNaturalNumber0(X81) )
& ( sdtpldt0(X80,X82) = X81
| X82 != sdtmndt0(X81,X80)
| ~ sdtlseqdt0(X80,X81)
| ~ aNaturalNumber0(X80)
| ~ aNaturalNumber0(X81) )
& ( ~ aNaturalNumber0(X82)
| sdtpldt0(X80,X82) != X81
| X82 = sdtmndt0(X81,X80)
| ~ sdtlseqdt0(X80,X81)
| ~ aNaturalNumber0(X80)
| ~ aNaturalNumber0(X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
cnf(c_0_6,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
xn != sdtpldt0(xp,xr),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_8,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_9,hypothesis,
sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[m__1870]) ).
cnf(c_0_10,hypothesis,
xr = sdtmndt0(xn,xp),
inference(split_conjunct,[status(thm)],[m__1883]) ).
cnf(c_0_11,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_12,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_13,negated_conjecture,
xn != sdtpldt0(xp,xr),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM489+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 14:43:16 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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.pOt2Y3mGB1/E---3.1_17717.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 # sh5l with pid 17797 completed with status 0
% 0.16/0.45 # Result found by sh5l
% 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 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 17799 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 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 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (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 : 45
% 0.16/0.45 # Removed by relevancy pruning/SinE : 2
% 0.16/0.45 # Initial clauses : 77
% 0.16/0.45 # Removed in clause preprocessing : 3
% 0.16/0.45 # Initial clauses in saturation : 74
% 0.16/0.45 # Processed clauses : 163
% 0.16/0.45 # ...of these trivial : 0
% 0.16/0.45 # ...subsumed : 21
% 0.16/0.45 # ...remaining for further processing : 142
% 0.16/0.45 # Other redundant clauses eliminated : 12
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 1
% 0.16/0.45 # Generated clauses : 141
% 0.16/0.45 # ...of the previous two non-redundant : 115
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 4
% 0.16/0.45 # Paramodulations : 125
% 0.16/0.45 # Factorizations : 2
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 14
% 0.16/0.45 # Total rewrite steps : 94
% 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 : 64
% 0.16/0.45 # Positive orientable unit clauses : 16
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 6
% 0.16/0.45 # Non-unit-clauses : 42
% 0.16/0.45 # Current number of unprocessed clauses: 94
% 0.16/0.45 # ...number of literals in the above : 415
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 70
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 614
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 173
% 0.16/0.45 # Non-unit clause-clause subsumptions : 25
% 0.16/0.45 # Unit Clause-clause subsumption calls : 47
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 1
% 0.16/0.45 # BW rewrite match successes : 1
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 7417
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.012 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: 2032 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.015 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.018 s
% 0.16/0.45 # Maximum resident set size: 1724 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------