%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:49:24 PM UTC 2026
% Result : ContradictoryAxioms 0.24s 0.59s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 41 ( 12 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 41 ( 10 ~; 15 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2449,hypothesis,
( ( doDivides0(xr,xm)
& ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) )
| ( doDivides0(xr,xn)
& ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2449) ).
fof(m__2487,hypothesis,
~ ( doDivides0(xr,xn)
| ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(m__2698,hypothesis,
~ ( doDivides0(xr,xm)
| ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2698) ).
fof(c_0_3,hypothesis,
( ( doDivides0(xr,xn)
| doDivides0(xr,xm) )
& ( doDivides0(xr,xn)
| xm = sdtasdt0(xr,esk13_0) )
& ( doDivides0(xr,xn)
| aNaturalNumber0(esk13_0) )
& ( xn = sdtasdt0(xr,esk12_0)
| doDivides0(xr,xm) )
& ( xn = sdtasdt0(xr,esk12_0)
| xm = sdtasdt0(xr,esk13_0) )
& ( xn = sdtasdt0(xr,esk12_0)
| aNaturalNumber0(esk13_0) )
& ( aNaturalNumber0(esk12_0)
| doDivides0(xr,xm) )
& ( aNaturalNumber0(esk12_0)
| xm = sdtasdt0(xr,esk13_0) )
& ( aNaturalNumber0(esk12_0)
| aNaturalNumber0(esk13_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2449])])]) ).
fof(c_0_4,hypothesis,
! [X29] :
( ~ doDivides0(xr,xn)
& ( xn != sdtasdt0(xr,X29)
| ~ aNaturalNumber0(X29) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2487])])])]) ).
fof(c_0_5,hypothesis,
! [X30] :
( ~ doDivides0(xr,xm)
& ( xm != sdtasdt0(xr,X30)
| ~ aNaturalNumber0(X30) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2698])])])]) ).
cnf(c_0_6,hypothesis,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
~ doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
~ doDivides0(xr,xm),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n006.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 02:36:28 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.24/0.59 % Version: 3.5.1
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.59 % Starting sh5l with 300s (1) cores
% 0.24/0.59 % new_bool_1 with pid 1821019 completed with status 0
% 0.24/0.59 % Result found by new_bool_1
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59 % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.24/0.59 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.59 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.59 % SubtermCWHack with pid 1821028 completed with status 0
% 0.24/0.59 % Result found by SubtermCWHack
% 0.24/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59 % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.24/0.59 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.59 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.59 % Preprocessing time : 0.004 s
% 0.24/0.59
% 0.24/0.59 % Proof found!
% 0.24/0.59 % SZS status ContradictoryAxioms
% 0.24/0.59 % SZS output start CNFRefutation
% See solution above
% 0.24/0.59 % Parsed axioms : 54
% 0.24/0.59 % Removed by relevancy pruning/SinE : 1
% 0.24/0.59 % Initial clauses : 258
% 0.24/0.59 % Removed in clause preprocessing : 3
% 0.24/0.59 % Initial clauses in saturation : 255
% 0.24/0.59 % Processed clauses : 50
% 0.24/0.59 % ...of these trivial : 0
% 0.24/0.59 % ...subsumed : 2
% 0.24/0.59 % ...remaining for further processing : 47
% 0.24/0.59 % Other redundant clauses eliminated : 0
% 0.24/0.59 % Clauses deleted for lack of memory : 0
% 0.24/0.59 % Backward-subsumed : 0
% 0.24/0.59 % Backward-rewritten : 1
% 0.24/0.59 % Generated clauses : 0
% 0.24/0.59 % ...of the previous two non-redundant : 0
% 0.24/0.59 % ...aggressively subsumed : 0
% 0.24/0.59 % Contextual simplify-reflections : 0
% 0.24/0.59 % Paramodulations : 0
% 0.24/0.59 % Factorizations : 0
% 0.24/0.59 % NegExts : 0
% 0.24/0.59 % Equation resolutions : 0
% 0.24/0.59 % Disequality decompositions : 0
% 0.24/0.59 % Total rewrite steps : 1
% 0.24/0.59 % ...of those cached : 0
% 0.24/0.59 % Propositional unsat checks : 0
% 0.24/0.59 % Propositional check models : 0
% 0.24/0.59 % Propositional check unsatisfiable : 0
% 0.24/0.59 % Propositional clauses : 0
% 0.24/0.59 % Propositional clauses after purity: 0
% 0.24/0.59 % Propositional unsat core size : 0
% 0.24/0.59 % Propositional preprocessing time : 0.000
% 0.24/0.59 % Propositional encoding time : 0.000
% 0.24/0.59 % Propositional solver time : 0.000
% 0.24/0.59 % Success case prop preproc time : 0.000
% 0.24/0.59 % Success case prop encoding time : 0.000
% 0.24/0.59 % Success case prop solver time : 0.000
% 0.24/0.59 % Current number of processed clauses : 46
% 0.24/0.59 % Positive orientable unit clauses : 29
% 0.24/0.59 % Positive unorientable unit clauses: 0
% 0.24/0.59 % Negative unit clauses : 16
% 0.24/0.59 % Non-unit-clauses : 1
% 0.24/0.59 % Current number of unprocessed clauses: 205
% 0.24/0.59 % ...number of literals in the above : 1608
% 0.24/0.59 % Current number of archived formulas : 0
% 0.24/0.59 % Current number of archived clauses : 1
% 0.24/0.59 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.59 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.59 % Non-unit clause-clause subsumptions : 0
% 0.24/0.59 % Unit Clause-clause subsumption calls : 45
% 0.24/0.59 % Rewrite failures with RHS unbound : 0
% 0.24/0.59 % BW rewrite match attempts : 1
% 0.24/0.59 % BW rewrite match successes : 1
% 0.24/0.59 % Condensation attempts : 0
% 0.24/0.59 % Condensation successes : 0
% 0.24/0.59 % Termbank termtop insertions : 16542
% 0.24/0.59 % Search garbage collected termcells : 2451
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.012 s
% 0.24/0.59 % System time : 0.005 s
% 0.24/0.59 % Total time : 0.017 s
% 0.24/0.59 % Maximum resident set size: 4220 pages
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.016 s
% 0.24/0.59 % System time : 0.008 s
% 0.24/0.59 % Total time : 0.024 s
% 0.24/0.59 % Maximum resident set size: 4608 pages
% 0.24/0.59 % E exiting
%------------------------------------------------------------------------------