%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM529+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 : n020.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 01:40:52 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 105 ( 23 unt; 17 def)
% Number of atoms : 360 ( 106 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 425 ( 170 ~; 177 |; 46 &)
% ( 19 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 61 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& W1 != W0 )
| sdtlseqdt0(W0,W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( sdtlseqdt0(W0,W1)
& W0 != W1 )
=> iLess0(W0,W1) ) ),
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(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(f40,hypothesis,
( xp != sz00
& xm != sz00
& xn != sz00
& aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
! [W0,W1,W2] :
( ( W2 != sz00
& W1 != sz00
& W0 != sz00
& aNaturalNumber0(W2)
& aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( sdtasdt0(W2,sdtasdt0(W1,W1)) = sdtasdt0(W0,W0)
=> ( iLess0(W0,xn)
=> ~ isPrime0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( doDivides0(xp,xn)
& doDivides0(xp,sdtasdt0(xn,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
( sdtlseqdt0(xm,xn)
& xm != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,plain,
! [W0] :
( ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 )
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f75,plain,
! [X0] :
( sdtasdt0(X0,sz00) = sz00
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f105,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f109,plain,
! [W0,W1] :
( ( sdtlseqdt0(W1,W0)
& W1 != W0 )
| sdtlseqdt0(W0,W1)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f111,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f129,plain,
! [W0,W1] :
( iLess0(W0,W1)
| ~ sdtlseqdt0(W0,W1)
| W0 = W1
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f130,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f137,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(f138,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)],[f137]) ).
fof(f139,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)],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( aNaturalNumber0(X2)
| X2 != sdtsldt0(X1,X0)
| ~ doDivides0(X0,X1)
| X0 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,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)],[f139]) ).
fof(f153,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(f154,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)],[f153]) ).
fof(f155,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))],[f154]) ).
fof(f156,plain,
! [X0] :
( X0 != sz00
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f170,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f171,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f172,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f173,plain,
xn != sz00,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f174,plain,
xm != sz00,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f176,plain,
! [W0,W1,W2] :
( ~ isPrime0(W2)
| ~ iLess0(W0,xn)
| sdtasdt0(W2,sdtasdt0(W1,W1)) != sdtasdt0(W0,W0)
| W2 = sz00
| W1 = sz00
| W0 = sz00
| ~ aNaturalNumber0(W2)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| X2 = sz00
| X1 = sz00
| X0 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f179,plain,
isPrime0(xp),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f181,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f182,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f183,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f184,plain,
xm != xn,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f185,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f188,plain,
( xp != sz00
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[f156,f179]) ).
fof(f189,definition,
( sQ0_spl
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ0_spl
| ~ aNaturalNumber0(xp) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ1_spl
<=> xp = sz00 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f188,f189,f192]) ).
fof(f196,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f172]) ).
fof(f197,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f196]) ).
fof(f393,plain,
( xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[f106,f185]) ).
fof(f406,definition,
( sQ21_spl
<=> aNaturalNumber0(xn) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ21_spl
| ~ aNaturalNumber0(xn) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ22_spl
<=> aNaturalNumber0(xm) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ22_spl
| ~ aNaturalNumber0(xm) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ23_spl
<=> sdtlseqdt0(xn,xm) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ23_spl
| ~ sdtlseqdt0(xn,xm) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ24_spl
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ24_spl
| xn = xm ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f393,f406,f409,f412,f415]) ).
fof(f425,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f416,f184]) ).
fof(f426,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f457,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f170]) ).
fof(f458,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f461,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f171]) ).
fof(f462,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ23_spl
| sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[f414,f111]) ).
fof(f469,definition,
( sQ29_spl
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( sQ23_spl
| sQ29_spl
| ~ sQ21_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f464,f409,f406,f469,f412]) ).
fof(f503,definition,
( sQ34_spl
<=> xm = sz00 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ34_spl
| xm = sz00 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f540,definition,
( sQ40_spl
<=> xn = sz00 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ40_spl
| xn = sz00 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f544,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f173]) ).
fof(f545,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f610,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f174]) ).
fof(f611,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f692,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| xp = sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[f140,f182]) ).
fof(f702,definition,
( sQ55_spl
<=> doDivides0(xp,xn) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( sQ55_spl
| ~ doDivides0(xp,xn) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ56_spl
<=> aNaturalNumber0(xq) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( sQ56_spl
| ~ sQ55_spl
| sQ1_spl
| ~ sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f692,f189,f406,f192,f702,f705]) ).
fof(f713,plain,
( sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f181]) ).
fof(f714,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( xn = sdtasdt0(xp,xq)
| ~ doDivides0(xp,xn)
| xp = sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[f141,f182]) ).
fof(f725,definition,
( sQ58_spl
<=> xn = sdtasdt0(xp,xq) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ58_spl
| xn = sdtasdt0(xp,xq) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( sQ58_spl
| ~ sQ55_spl
| sQ1_spl
| ~ sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f715,f189,f406,f192,f702,f725]) ).
fof(f849,definition,
( sQ73_spl
<=> isPrime0(xp) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( sQ73_spl
| ~ isPrime0(xp) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f875,plain,
( sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f179]) ).
fof(f876,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f875]) ).
fof(f882,definition,
( sQ78_spl
<=> xq = sz00 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ78_spl
| xq = sz00 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f1690,definition,
( sQ163_spl
<=> iLess0(xm,xn) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( sQ163_spl
| ~ iLess0(xm,xn) ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1705,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| X1 = sz00
| X0 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f177,f156]) ).
fof(f1740,plain,
( ~ isPrime0(xp)
| ~ iLess0(xm,xn)
| xq = sz00
| xm = sz00
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[f1705,f183]) ).
fof(f1751,plain,
( ~ sQ73_spl
| ~ sQ163_spl
| sQ78_spl
| sQ34_spl
| ~ sQ0_spl
| ~ sQ56_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1740,f409,f705,f189,f503,f882,f1690,f849]) ).
fof(f1923,plain,
( sQ163_spl
| ~ sdtlseqdt0(xm,xn)
| xm = xn
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[f1692,f130]) ).
fof(f1924,plain,
( sQ163_spl
| ~ sQ29_spl
| sQ24_spl
| ~ sQ21_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1923,f409,f406,f415,f469,f1690]) ).
fof(f2199,plain,
( ~ sQ58_spl
| ~ sQ78_spl
| xn = sdtasdt0(xp,sz00) ),
inference(forward_demodulation,[status(thm)],[f883,f726]) ).
fof(f2201,plain,
( ~ sQ58_spl
| ~ sQ78_spl
| xn = sz00
| ~ aNaturalNumber0(xp) ),
inference(paramodulation,[status(thm)],[f2199,f75]) ).
fof(f2226,plain,
( ~ sQ58_spl
| ~ sQ78_spl
| sQ40_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2201,f189,f540,f882,f725]) ).
fof(f2277,plain,
$false,
inference(sat_refutation,[status(thm)],[f195,f197,f418,f426,f458,f462,f472,f545,f611,f708,f714,f728,f876,f1751,f1924,f2226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM529+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 02:38:48 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.087878 seconds
% 0.12/0.45 % CPU time: 0.463973 seconds
% 0.12/0.45 % Total memory used: 110.187 MB
% 0.12/0.45 % Net memory used: 109.572 MB
%------------------------------------------------------------------------------