TSTP Solution File: NUM458+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM458+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:14:04 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 55 ( 9 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 62 ( 27 ~; 24 |; 7 &)
% ( 1 <=>; 3 =>; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 11 !; 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/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(m__,conjecture,
sdtlseqdt0(xm,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__718,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__718) ).
fof(c_0_6,plain,
! [X5,X6,X8] :
( ( aNaturalNumber0(esk1_2(X5,X6))
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtpldt0(X5,esk1_2(X5,X6)) = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( ~ aNaturalNumber0(X8)
| sdtpldt0(X5,X8) != X6
| sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_7,plain,
! [X9,X10] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| aNaturalNumber0(sdtpldt0(X9,X10)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
fof(c_0_8,negated_conjecture,
~ sdtlseqdt0(xm,xm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_9,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X16] :
( ( sdtpldt0(X16,sz00) = X16
| ~ aNaturalNumber0(X16) )
& ( X16 = sdtpldt0(sz00,X16)
| ~ aNaturalNumber0(X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])])]) ).
fof(c_0_12,negated_conjecture,
~ sdtlseqdt0(xm,xm),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]) ).
cnf(c_0_14,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_16,negated_conjecture,
~ sdtlseqdt0(xm,xm),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__718]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM458+1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n004.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon May 20 04:07:23 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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/benchmark/theBenchmark.p
% 0.14/0.40 # Version: 3.1.0
% 0.14/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40 # Starting sh5l with 300s (1) cores
% 0.14/0.40 # new_bool_3 with pid 11802 completed with status 0
% 0.14/0.40 # Result found by new_bool_3
% 0.14/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40 # Search class: FGUSF-FFMF22-SFFFFFNN
% 0.14/0.40 # partial match(1): FGUSF-FFMM22-SFFFFFNN
% 0.14/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.14/0.40 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 11805 completed with status 0
% 0.14/0.40 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.14/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40 # Search class: FGUSF-FFMF22-SFFFFFNN
% 0.14/0.40 # partial match(1): FGUSF-FFMM22-SFFFFFNN
% 0.14/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.14/0.40 # Preprocessing time : 0.001 s
% 0.14/0.40 # Presaturation interreduction done
% 0.14/0.40
% 0.14/0.40 # Proof found!
% 0.14/0.40 # SZS status Theorem
% 0.14/0.40 # SZS output start CNFRefutation
% See solution above
% 0.14/0.40 # Parsed axioms : 21
% 0.14/0.40 # Removed by relevancy pruning/SinE : 3
% 0.14/0.40 # Initial clauses : 26
% 0.14/0.40 # Removed in clause preprocessing : 1
% 0.14/0.40 # Initial clauses in saturation : 25
% 0.14/0.40 # Processed clauses : 46
% 0.14/0.40 # ...of these trivial : 0
% 0.14/0.40 # ...subsumed : 0
% 0.14/0.40 # ...remaining for further processing : 46
% 0.14/0.40 # Other redundant clauses eliminated : 5
% 0.14/0.40 # Clauses deleted for lack of memory : 0
% 0.14/0.40 # Backward-subsumed : 0
% 0.14/0.40 # Backward-rewritten : 0
% 0.14/0.40 # Generated clauses : 55
% 0.14/0.40 # ...of the previous two non-redundant : 41
% 0.14/0.40 # ...aggressively subsumed : 0
% 0.14/0.40 # Contextual simplify-reflections : 1
% 0.14/0.40 # Paramodulations : 48
% 0.14/0.40 # Factorizations : 0
% 0.14/0.40 # NegExts : 0
% 0.14/0.40 # Equation resolutions : 7
% 0.14/0.40 # Disequality decompositions : 0
% 0.14/0.40 # Total rewrite steps : 28
% 0.14/0.40 # ...of those cached : 26
% 0.14/0.40 # Propositional unsat checks : 0
% 0.14/0.40 # Propositional check models : 0
% 0.14/0.40 # Propositional check unsatisfiable : 0
% 0.14/0.40 # Propositional clauses : 0
% 0.14/0.40 # Propositional clauses after purity: 0
% 0.14/0.40 # Propositional unsat core size : 0
% 0.14/0.40 # Propositional preprocessing time : 0.000
% 0.14/0.40 # Propositional encoding time : 0.000
% 0.14/0.40 # Propositional solver time : 0.000
% 0.14/0.40 # Success case prop preproc time : 0.000
% 0.14/0.40 # Success case prop encoding time : 0.000
% 0.14/0.40 # Success case prop solver time : 0.000
% 0.14/0.40 # Current number of processed clauses : 20
% 0.14/0.40 # Positive orientable unit clauses : 2
% 0.14/0.40 # Positive unorientable unit clauses: 0
% 0.14/0.40 # Negative unit clauses : 1
% 0.14/0.40 # Non-unit-clauses : 17
% 0.14/0.40 # Current number of unprocessed clauses: 45
% 0.14/0.40 # ...number of literals in the above : 166
% 0.14/0.40 # Current number of archived formulas : 0
% 0.14/0.40 # Current number of archived clauses : 25
% 0.14/0.40 # Clause-clause subsumption calls (NU) : 87
% 0.14/0.40 # Rec. Clause-clause subsumption calls : 63
% 0.14/0.40 # Non-unit clause-clause subsumptions : 1
% 0.14/0.40 # Unit Clause-clause subsumption calls : 0
% 0.14/0.40 # Rewrite failures with RHS unbound : 0
% 0.14/0.40 # BW rewrite match attempts : 0
% 0.14/0.40 # BW rewrite match successes : 0
% 0.14/0.40 # Condensation attempts : 0
% 0.14/0.40 # Condensation successes : 0
% 0.14/0.40 # Termbank termtop insertions : 2851
% 0.14/0.40 # Search garbage collected termcells : 425
% 0.14/0.40
% 0.14/0.40 # -------------------------------------------------
% 0.14/0.40 # User time : 0.007 s
% 0.14/0.40 # System time : 0.001 s
% 0.14/0.40 # Total time : 0.008 s
% 0.14/0.40 # Maximum resident set size: 1860 pages
% 0.14/0.40
% 0.14/0.40 # -------------------------------------------------
% 0.14/0.40 # User time : 0.008 s
% 0.14/0.40 # System time : 0.002 s
% 0.14/0.40 # Total time : 0.010 s
% 0.14/0.40 # Maximum resident set size: 1708 pages
% 0.14/0.40 % E---3.1 exiting
% 0.14/0.40 % E exiting
%------------------------------------------------------------------------------