TSTP Solution File: NUM472+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 18:55:55 EDT 2023
% Result : Theorem 0.23s 0.49s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 44 ( 4 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 52 ( 22 ~; 20 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn; 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ASKUcWfcdI/E---3.1_29626.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.ASKUcWfcdI/E---3.1_29626.p',mSortsB) ).
fof(m__,conjecture,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/tmp/tmp.ASKUcWfcdI/E---3.1_29626.p',m__) ).
fof(m__1324,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmp.ASKUcWfcdI/E---3.1_29626.p',m__1324) ).
fof(c_0_4,plain,
! [X34,X35,X37] :
( ( aNaturalNumber0(esk1_2(X34,X35))
| ~ sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35) )
& ( sdtpldt0(X34,esk1_2(X34,X35)) = X35
| ~ sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35) )
& ( ~ aNaturalNumber0(X37)
| sdtpldt0(X34,X37) != X35
| sdtlseqdt0(X34,X35)
| ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(c_0_5,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| aNaturalNumber0(sdtpldt0(X4,X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_6,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_7,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_7]),c_0_8]) ).
cnf(c_0_11,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_12,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 14:54:29 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.47 Running first-order theorem proving
% 0.23/0.47 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.ASKUcWfcdI/E---3.1_29626.p
% 0.23/0.49 # Version: 3.1pre001
% 0.23/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.49 # Starting sh5l with 300s (1) cores
% 0.23/0.49 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 29858 completed with status 0
% 0.23/0.49 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.49 # No SInE strategy applied
% 0.23/0.49 # Search class: FGUSF-FFMM22-SFFFFFNN
% 0.23/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.23/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.49 # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.23/0.49 # Starting new_bool_3 with 136s (1) cores
% 0.23/0.49 # Starting new_bool_1 with 136s (1) cores
% 0.23/0.49 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 29866 completed with status 0
% 0.23/0.49 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.49 # No SInE strategy applied
% 0.23/0.49 # Search class: FGUSF-FFMM22-SFFFFFNN
% 0.23/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.23/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.49 # Preprocessing time : 0.001 s
% 0.23/0.49 # Presaturation interreduction done
% 0.23/0.49
% 0.23/0.49 # Proof found!
% 0.23/0.49 # SZS status Theorem
% 0.23/0.49 # SZS output start CNFRefutation
% See solution above
% 0.23/0.49 # Parsed axioms : 39
% 0.23/0.49 # Removed by relevancy pruning/SinE : 0
% 0.23/0.49 # Initial clauses : 66
% 0.23/0.49 # Removed in clause preprocessing : 3
% 0.23/0.49 # Initial clauses in saturation : 63
% 0.23/0.49 # Processed clauses : 101
% 0.23/0.49 # ...of these trivial : 0
% 0.23/0.49 # ...subsumed : 5
% 0.23/0.49 # ...remaining for further processing : 96
% 0.23/0.49 # Other redundant clauses eliminated : 9
% 0.23/0.49 # Clauses deleted for lack of memory : 0
% 0.23/0.49 # Backward-subsumed : 0
% 0.23/0.49 # Backward-rewritten : 0
% 0.23/0.49 # Generated clauses : 39
% 0.23/0.49 # ...of the previous two non-redundant : 24
% 0.23/0.49 # ...aggressively subsumed : 0
% 0.23/0.49 # Contextual simplify-reflections : 6
% 0.23/0.49 # Paramodulations : 30
% 0.23/0.49 # Factorizations : 0
% 0.23/0.49 # NegExts : 0
% 0.23/0.49 # Equation resolutions : 9
% 0.23/0.49 # Total rewrite steps : 21
% 0.23/0.49 # Propositional unsat checks : 0
% 0.23/0.49 # Propositional check models : 0
% 0.23/0.49 # Propositional check unsatisfiable : 0
% 0.23/0.49 # Propositional clauses : 0
% 0.23/0.49 # Propositional clauses after purity: 0
% 0.23/0.49 # Propositional unsat core size : 0
% 0.23/0.49 # Propositional preprocessing time : 0.000
% 0.23/0.49 # Propositional encoding time : 0.000
% 0.23/0.49 # Propositional solver time : 0.000
% 0.23/0.49 # Success case prop preproc time : 0.000
% 0.23/0.49 # Success case prop encoding time : 0.000
% 0.23/0.49 # Success case prop solver time : 0.000
% 0.23/0.49 # Current number of processed clauses : 29
% 0.23/0.49 # Positive orientable unit clauses : 9
% 0.23/0.49 # Positive unorientable unit clauses: 0
% 0.23/0.49 # Negative unit clauses : 3
% 0.23/0.49 # Non-unit-clauses : 17
% 0.23/0.49 # Current number of unprocessed clauses: 44
% 0.23/0.49 # ...number of literals in the above : 182
% 0.23/0.49 # Current number of archived formulas : 0
% 0.23/0.49 # Current number of archived clauses : 58
% 0.23/0.49 # Clause-clause subsumption calls (NU) : 399
% 0.23/0.49 # Rec. Clause-clause subsumption calls : 115
% 0.23/0.49 # Non-unit clause-clause subsumptions : 11
% 0.23/0.49 # Unit Clause-clause subsumption calls : 4
% 0.23/0.49 # Rewrite failures with RHS unbound : 0
% 0.23/0.49 # BW rewrite match attempts : 0
% 0.23/0.49 # BW rewrite match successes : 0
% 0.23/0.49 # Condensation attempts : 0
% 0.23/0.49 # Condensation successes : 0
% 0.23/0.49 # Termbank termtop insertions : 4992
% 0.23/0.49
% 0.23/0.49 # -------------------------------------------------
% 0.23/0.49 # User time : 0.006 s
% 0.23/0.49 # System time : 0.003 s
% 0.23/0.49 # Total time : 0.009 s
% 0.23/0.49 # Maximum resident set size: 1888 pages
% 0.23/0.49
% 0.23/0.49 # -------------------------------------------------
% 0.23/0.49 # User time : 0.025 s
% 0.23/0.49 # System time : 0.009 s
% 0.23/0.49 # Total time : 0.034 s
% 0.23/0.49 # Maximum resident set size: 1716 pages
% 0.23/0.49 % E---3.1 exiting
% 0.23/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------