%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM491+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:17 PM UTC 2026
% Result : Theorem 0.23s 10.64s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 46 ( 4 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 54 ( 24 ~; 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(m__,conjecture,
doDivides0(xp,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(c_0_4,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X8,X9,X11] :
( ( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| doDivides0(X8,X9)
| X9 != sdtasdt0(X8,X11)
| ~ aNaturalNumber0(X11) )
& ( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ doDivides0(X8,X9)
| X9 = sdtasdt0(X8,esk1_2(X8,X9)) )
& ( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X8)
| ~ doDivides0(X8,X9)
| aNaturalNumber0(esk1_2(X8,X9)) ) ),
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)],[mDefDiv])])])])])]) ).
fof(c_0_7,plain,
! [X50,X51] :
( aNaturalNumber0(sdtasdt0(X50,X51))
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
fof(c_0_8,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| doDivides0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]) ).
cnf(c_0_13,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_14,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM491+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/10.48 % Computer : n004.cluster.edu
% 0.18/10.48 % Model : x86_64 x86_64
% 0.18/10.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.48 % Memory : 8046.5625MB
% 0.18/10.48 % OS : Linux 6.8.0-71-generic
% 0.18/10.48 % CPULimit : 300
% 0.18/10.48 % WCLimit : 300
% 0.18/10.48 % DateTime : Mon Sep 21 02:34:30 UTC 2026
% 0.18/10.49 % CPUTime :
% 0.18/10.49 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/10.56 Running first-order theorem proving
% 0.23/10.56 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.23/10.64 % Version: 3.5.1
% 0.23/10.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/10.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/10.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/10.64 % Starting new_bool_3 with 300s (1) cores
% 0.23/10.64 % Starting new_bool_1 with 300s (1) cores
% 0.23/10.64 % Starting sh5l with 300s (1) cores
% 0.23/10.64 % new_bool_3 with pid 2064317 completed with status 0
% 0.23/10.64 % Result found by new_bool_3
% 0.23/10.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/10.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/10.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/10.64 % Starting new_bool_3 with 300s (1) cores
% 0.23/10.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/10.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/10.64 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.23/10.64 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/10.64 % Starting SubtermCWHack with 28s (1) cores
% 0.23/10.64 % SubtermCWHack with pid 2064320 completed with status 0
% 0.23/10.64 % Result found by SubtermCWHack
% 0.23/10.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/10.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/10.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/10.64 % Starting new_bool_3 with 300s (1) cores
% 0.23/10.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/10.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/10.64 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.23/10.64 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/10.64 % Starting SubtermCWHack with 28s (1) cores
% 0.23/10.64 % Preprocessing time : 0.003 s
% 0.23/10.64
% 0.23/10.64 % Proof found!
% 0.23/10.64 % SZS status Theorem
% 0.23/10.64 % SZS output start CNFRefutation
% See solution above
% 0.23/10.64 % Parsed axioms : 48
% 0.23/10.64 % Removed by relevancy pruning/SinE : 2
% 0.23/10.64 % Initial clauses : 80
% 0.23/10.64 % Removed in clause preprocessing : 3
% 0.23/10.64 % Initial clauses in saturation : 77
% 0.23/10.64 % Processed clauses : 128
% 0.23/10.64 % ...of these trivial : 0
% 0.23/10.64 % ...subsumed : 40
% 0.23/10.64 % ...remaining for further processing : 88
% 0.23/10.64 % Other redundant clauses eliminated : 4
% 0.23/10.64 % Clauses deleted for lack of memory : 0
% 0.23/10.64 % Backward-subsumed : 1
% 0.23/10.64 % Backward-rewritten : 0
% 0.23/10.64 % Generated clauses : 170
% 0.23/10.64 % ...of the previous two non-redundant : 136
% 0.23/10.64 % ...aggressively subsumed : 0
% 0.23/10.64 % Contextual simplify-reflections : 1
% 0.23/10.64 % Paramodulations : 166
% 0.23/10.64 % Factorizations : 0
% 0.23/10.64 % NegExts : 0
% 0.23/10.64 % Equation resolutions : 4
% 0.23/10.64 % Disequality decompositions : 0
% 0.23/10.64 % Total rewrite steps : 80
% 0.23/10.64 % ...of those cached : 73
% 0.23/10.64 % Propositional unsat checks : 0
% 0.23/10.64 % Propositional check models : 0
% 0.23/10.64 % Propositional check unsatisfiable : 0
% 0.23/10.64 % Propositional clauses : 0
% 0.23/10.64 % Propositional clauses after purity: 0
% 0.23/10.64 % Propositional unsat core size : 0
% 0.23/10.64 % Propositional preprocessing time : 0.000
% 0.23/10.64 % Propositional encoding time : 0.000
% 0.23/10.64 % Propositional solver time : 0.000
% 0.23/10.64 % Success case prop preproc time : 0.000
% 0.23/10.64 % Success case prop encoding time : 0.000
% 0.23/10.64 % Success case prop solver time : 0.000
% 0.23/10.64 % Current number of processed clauses : 83
% 0.23/10.64 % Positive orientable unit clauses : 18
% 0.23/10.64 % Positive unorientable unit clauses: 0
% 0.23/10.64 % Negative unit clauses : 5
% 0.23/10.64 % Non-unit-clauses : 60
% 0.23/10.64 % Current number of unprocessed clauses: 85
% 0.23/10.64 % ...number of literals in the above : 433
% 0.23/10.64 % Current number of archived formulas : 0
% 0.23/10.64 % Current number of archived clauses : 1
% 0.23/10.64 % Clause-clause subsumption calls (NU) : 280
% 0.23/10.64 % Rec. Clause-clause subsumption calls : 178
% 0.23/10.64 % Non-unit clause-clause subsumptions : 42
% 0.23/10.64 % Unit Clause-clause subsumption calls : 31
% 0.23/10.64 % Rewrite failures with RHS unbound : 0
% 0.23/10.64 % BW rewrite match attempts : 0
% 0.23/10.64 % BW rewrite match successes : 0
% 0.23/10.64 % Condensation attempts : 0
% 0.23/10.64 % Condensation successes : 0
% 0.23/10.64 % Termbank termtop insertions : 8692
% 0.23/10.64 % Search garbage collected termcells : 1268
% 0.23/10.64
% 0.23/10.64 % -------------------------------------------------
% 0.23/10.64 % User time : 0.017 s
% 0.23/10.64 % System time : 0.004 s
% 0.23/10.64 % Total time : 0.022 s
% 0.23/10.65 % Maximum resident set size: 3684 pages
% 0.23/10.65
% 0.23/10.65 % -------------------------------------------------
% 0.23/10.65 % User time : 0.020 s
% 0.23/10.65 % System time : 0.011 s
% 0.23/10.65 % Total time : 0.032 s
% 0.23/10.65 % Maximum resident set size: 4864 pages
% 0.23/10.65 % E exiting
%------------------------------------------------------------------------------