%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM517+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:40:49 PM UTC 2026
% Result : Theorem 60.57s 8.10s
% Output : CNFRefutation 26.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 20 unt; 2 def)
% Number of atoms : 279 ( 57 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 372 ( 163 ~; 157 |; 38 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 48 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( sdtlseqdt0(W0,W1)
& W0 != W1 )
=> iLess0(W0,W1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
! [W0,W1,W2] :
( ( aNaturalNumber0(W2)
& aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( doDivides0(W2,sdtasdt0(W0,W1))
& isPrime0(W2) )
=> ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(W2,W1)
| doDivides0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,hypothesis,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f61,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
! [W0,W1] :
( aNaturalNumber0(sdtpldt0(W0,W1))
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f137,plain,
! [W0,W1] :
( iLess0(W0,W1)
| ~ sdtlseqdt0(W0,W1)
| W0 = W1
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f138,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f145,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(f146,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)],[f145]) ).
fof(f147,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)],[f146]) ).
fof(f148,plain,
! [X0,X1,X2] :
( aNaturalNumber0(X2)
| X2 != sdtsldt0(X1,X0)
| ~ doDivides0(X0,X1)
| X0 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f161,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(f162,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)],[f161]) ).
fof(f163,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))],[f162]) ).
fof(f164,plain,
! [X0] :
( X0 != sz00
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f176,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f177,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f178,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f179,plain,
! [W0,W1,W2] :
( doDivides0(W2,W1)
| doDivides0(W2,W0)
| ~ iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(W2,sdtasdt0(W0,W1))
| ~ isPrime0(W2)
| ~ aNaturalNumber0(W2)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f180,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X2,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X0)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
isPrime0(xp),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f195,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f197,plain,
isPrime0(xr),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f203,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f206,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f207,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f208,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f209,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f210,plain,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f219,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sdtsldt0(X1,X0))
| X0 = sz00 ),
inference(destructive_equality_resolution,[status(thm)],[f148]) ).
fof(f220,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(destructive_equality_resolution,[status(thm)],[f164]) ).
fof(f227,plain,
~ isPrime0(sz00),
inference(forward_subsumption_resolution,[status(thm)],[f220,f61]) ).
fof(f652,plain,
( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
inference(resolution,[status(thm)],[f138,f208]) ).
fof(f708,plain,
( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[f652,f207]) ).
fof(f3591,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ isPrime0(xp)
| doDivides0(xp,xm)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
inference(resolution,[status(thm)],[f708,f180]) ).
fof(f3592,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(xm)
| doDivides0(xp,sdtsldt0(xn,xr))
| ~ isPrime0(xp) ),
inference(forward_subsumption_resolution,[status(thm)],[f3591,f211]) ).
fof(f4257,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[f3592,f181]) ).
fof(f4258,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xp)
| doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[f4257,f65]) ).
fof(f4259,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literals_removal,[status(thm)],[f4258]) ).
fof(f4260,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[status(thm)],[f4259,f177]) ).
fof(f4310,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4260,f178]) ).
fof(f4311,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| doDivides0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
inference(resolution,[status(thm)],[f4310,f206]) ).
fof(f4312,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4311,f210]) ).
fof(f4439,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[status(thm)],[f4312,f65]) ).
fof(f4440,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(duplicate_literals_removal,[status(thm)],[f4439]) ).
fof(f4441,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4440,f177]) ).
fof(f4920,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[status(thm)],[f4441,f65]) ).
fof(f4921,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4920,f178]) ).
fof(f4924,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xr,xn)
| xr = sz00
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(resolution,[status(thm)],[f4921,f219]) ).
fof(f4925,plain,
( xr = sz00
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f4924,f203]) ).
fof(f4926,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[status(thm)],[f4925,f176]) ).
fof(f4927,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(resolution,[status(thm)],[f4926,f65]) ).
fof(f4928,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xr ),
inference(forward_subsumption_resolution,[status(thm)],[f4927,f195]) ).
fof(f4929,plain,
( ~ aNaturalNumber0(xn)
| xr = sz00 ),
inference(forward_subsumption_resolution,[status(thm)],[f4928,f177]) ).
fof(f4930,plain,
sz00 = xr,
inference(resolution,[status(thm)],[f4929,f176]) ).
fof(f5008,plain,
isPrime0(sz00),
inference(backward_demodulation,[status(thm)],[f4930,f197]) ).
fof(f5031,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f5008,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM517+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:36:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 60.57/8.10 % Refutation found
% 60.57/8.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 60.57/8.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.88/8.13 % Elapsed time: 7.752899 seconds
% 26.88/8.13 % CPU time: 61.168086 seconds
% 26.88/8.13 % Total memory used: 319.781 MB
% 26.88/8.13 % Net memory used: 292.669 MB
%------------------------------------------------------------------------------