%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM501+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 01:40:45 PM UTC 2026
% Result : Theorem 31.71s 4.62s
% Output : CNFRefutation 31.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 19 unt; 15 def)
% Number of atoms : 316 ( 65 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 377 ( 153 ~; 155 |; 42 &)
% ( 18 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 75 ( 71 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,definition,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( doDivides0(W0,W1)
<=> ? [W2] :
( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,definition,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( doDivides0(W0,W1)
& W0 != sz00 )
=> ! [W2] :
( W2 = sdtsldt0(W1,W0)
<=> ( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W2)
& aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( doDivides0(W1,W2)
& doDivides0(W0,W1) )
=> doDivides0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,definition,
! [W0] :
( aNaturalNumber0(W0)
=> ( isPrime0(W0)
<=> ( ! [W1] :
( ( doDivides0(W1,W0)
& aNaturalNumber0(W1) )
=> ( W1 = W0
| W1 = sz10 ) )
& W0 != sz10
& W0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,hypothesis,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,conjecture,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f59,plain,
! [W0,W1] :
( aNaturalNumber0(sdtasdt0(W0,W1))
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f68,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f132,plain,
! [W0,W1] :
( ( doDivides0(W0,W1)
<=> ? [W2] :
( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) ) )
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f133,plain,
! [W0,W1] :
( ( ( ! [W2] :
( W1 != sdtasdt0(W0,W2)
| ~ aNaturalNumber0(W2) )
| doDivides0(W0,W1) )
& ( ? [W2] :
( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) )
| ~ doDivides0(W0,W1) ) )
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(NNF_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
! [W0,W1] :
( ( ( ! [W2] :
( W1 != sdtasdt0(W0,W2)
| ~ aNaturalNumber0(W2) )
| doDivides0(W0,W1) )
& ( ( W1 = sdtasdt0(W0,sK1_skl(W1,W0))
& aNaturalNumber0(sK1_skl(W1,W0)) )
| ~ doDivides0(W0,W1) ) )
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f133]) ).
fof(f137,plain,
! [X0,X1,X2] :
( X1 != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtsldt0(W1,W0)
<=> ( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) ) )
| ~ doDivides0(W0,W1)
| W0 = sz00
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f139,plain,
! [W0,W1] :
( ! [W2] :
( ( W1 != sdtasdt0(W0,W2)
| ~ aNaturalNumber0(W2)
| W2 = sdtsldt0(W1,W0) )
& ( ( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) )
| W2 != sdtsldt0(W1,W0) ) )
| ~ doDivides0(W0,W1)
| W0 = sz00
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(NNF_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
! [W0,W1] :
( ( ! [W2] :
( W1 != sdtasdt0(W0,W2)
| ~ aNaturalNumber0(W2)
| W2 = sdtsldt0(W1,W0) )
& ! [W2] :
( ( W1 = sdtasdt0(W0,W2)
& aNaturalNumber0(W2) )
| W2 != sdtsldt0(W1,W0) ) )
| ~ doDivides0(W0,W1)
| W0 = sz00
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(miniscoping,[status(thm)],[f139]) ).
fof(f141,plain,
! [X0,X1,X2] :
( aNaturalNumber0(X2)
| X2 != sdtsldt0(X1,X0)
| ~ doDivides0(X0,X1)
| X0 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( X1 = sdtasdt0(X0,X2)
| X2 != sdtsldt0(X1,X0)
| ~ doDivides0(X0,X1)
| X0 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f144,plain,
! [W0,W1,W2] :
( doDivides0(W0,W2)
| ~ doDivides0(W1,W2)
| ~ doDivides0(W0,W1)
| ~ aNaturalNumber0(W2)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f145,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f154,plain,
! [W0] :
( ( isPrime0(W0)
<=> ( ! [W1] :
( W1 = W0
| W1 = sz10
| ~ doDivides0(W1,W0)
| ~ aNaturalNumber0(W1) )
& W0 != sz10
& W0 != sz00 ) )
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f155,plain,
! [W0] :
( ( ( ? [W1] :
( W1 != W0
& W1 != sz10
& doDivides0(W1,W0)
& aNaturalNumber0(W1) )
| W0 = sz10
| W0 = sz00
| isPrime0(W0) )
& ( ( ! [W1] :
( W1 = W0
| W1 = sz10
| ~ doDivides0(W1,W0)
| ~ aNaturalNumber0(W1) )
& W0 != sz10
& W0 != sz00 )
| ~ isPrime0(W0) ) )
| ~ aNaturalNumber0(W0) ),
inference(NNF_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
! [W0] :
( ( ( ( sK2_skl(W0) != W0
& sK2_skl(W0) != sz10
& doDivides0(sK2_skl(W0),W0)
& aNaturalNumber0(sK2_skl(W0)) )
| W0 = sz10
| W0 = sz00
| isPrime0(W0) )
& ( ( ! [W1] :
( W1 = W0
| W1 = sz10
| ~ doDivides0(W1,W0)
| ~ aNaturalNumber0(W1) )
& W0 != sz10
& W0 != sz00 )
| ~ isPrime0(W0) ) )
| ~ aNaturalNumber0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W1,sK2_skl(W0))],[f155]) ).
fof(f157,plain,
! [X0] :
( X0 != sz00
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f169,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f170,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f171,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f174,plain,
isPrime0(xp),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f175,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f182,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f188,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f189,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f191,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f195,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| doDivides0(X0,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[f137,f69]) ).
fof(f201,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X0,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f195]) ).
fof(f202,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X0,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f60]) ).
fof(f209,plain,
! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[status(thm)],[f145,f191]) ).
fof(f212,definition,
( sQ0_spl
<=> aNaturalNumber0(xr) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ0_spl
| ~ aNaturalNumber0(xr) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
! [X0] :
( sQ1_spl
<=> ( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f216,plain,
! [X0] :
( ~ sQ1_spl
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(X0) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ2_spl
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ2_spl
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f209,f212,f215,f218]) ).
fof(f243,plain,
( sQ2_spl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[f220,f60]) ).
fof(f244,definition,
( sQ5_spl
<=> aNaturalNumber0(xn) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ5_spl
| ~ aNaturalNumber0(xn) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ6_spl
<=> aNaturalNumber0(xm) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ6_spl
| ~ aNaturalNumber0(xm) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ2_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f243,f244,f247,f218]) ).
fof(f251,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f170]) ).
fof(f252,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f169]) ).
fof(f254,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f188]) ).
fof(f256,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f255]) ).
fof(f323,definition,
( sQ16_spl
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( sQ16_spl
| ~ aNaturalNumber0(xp) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f330,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f171]) ).
fof(f331,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f330]) ).
fof(f353,definition,
( sQ19_spl
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( xp != sz00
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[f157,f174]) ).
fof(f767,definition,
( sQ77_spl
<=> xp = sz00 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ77_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f762,f323,f767]) ).
fof(f2229,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| xp = sz00
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[f182,f142]) ).
fof(f2230,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| xp = sz00
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[f182,f141]) ).
fof(f2235,definition,
( sQ269_spl
<=> doDivides0(xp,sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2237,plain,
( sQ269_spl
| ~ doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(component_clause,[status(thm)],[f2235]) ).
fof(f2238,definition,
( sQ270_spl
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( ~ sQ270_spl
| sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
inference(component_clause,[status(thm)],[f2238]) ).
fof(f2241,plain,
( sQ270_spl
| ~ sQ269_spl
| sQ77_spl
| ~ sQ2_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2229,f323,f218,f767,f2235,f2238]) ).
fof(f2242,plain,
( sQ19_spl
| ~ sQ269_spl
| sQ77_spl
| ~ sQ2_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2230,f323,f218,f767,f2235,f353]) ).
fof(f3285,plain,
( sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2237,f175]) ).
fof(f3286,plain,
sQ269_spl,
inference(contradiction_clause,[status(thm)],[f3285]) ).
fof(f6929,plain,
( ~ sQ270_spl
| ~ aNaturalNumber0(xp)
| doDivides0(xk,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xk) ),
inference(paramodulation,[status(thm)],[f2239,f202]) ).
fof(f7047,definition,
( sQ738_spl
<=> doDivides0(xk,sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[sQ738_spl])],[split_symbol_definition]) ).
fof(f7048,plain,
( ~ sQ738_spl
| doDivides0(xk,sdtasdt0(xn,xm)) ),
inference(component_clause,[status(thm)],[f7047]) ).
fof(f7050,plain,
( ~ sQ270_spl
| ~ sQ16_spl
| sQ738_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6929,f353,f7047,f323,f2238]) ).
fof(f7275,plain,
( ~ sQ1_spl
| ~ sQ738_spl
| ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[status(thm)],[f7048,f216]) ).
fof(f7287,definition,
( sQ766_spl
<=> doDivides0(xr,xk) ),
introduced(definition,[new_symbols(definition,[sQ766_spl])],[split_symbol_definition]) ).
fof(f7289,plain,
( sQ766_spl
| ~ doDivides0(xr,xk) ),
inference(component_clause,[status(thm)],[f7287]) ).
fof(f7290,plain,
( ~ sQ1_spl
| ~ sQ738_spl
| ~ sQ766_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f7275,f353,f7287,f7047,f215]) ).
fof(f7319,plain,
( sQ766_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7289,f189]) ).
fof(f7320,plain,
sQ766_spl,
inference(contradiction_clause,[status(thm)],[f7319]) ).
fof(f7321,plain,
$false,
inference(sat_refutation,[status(thm)],[f221,f250,f252,f254,f256,f331,f770,f2241,f2242,f3286,f7050,f7290,f7320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM501+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n003.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 02:37:00 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 31.71/4.62 % Refutation found
% 31.71/4.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 31.71/4.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.71/4.67 % Elapsed time: 4.198450 seconds
% 31.71/4.67 % CPU time: 32.651674 seconds
% 31.71/4.67 % Total memory used: 213.996 MB
% 31.71/4.67 % Net memory used: 200.827 MB
%------------------------------------------------------------------------------