%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS044+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:00:10 PM UTC 2026
% Result : Satisfiable 0.02s 15.62s
% Output : Saturation 0.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y,Z] :
( ( rs(X,Z)
& rs(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
cSatisfiable(i2003_11_14_17_16_1832),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f100,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f102,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f103,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f104,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f106,plain,
! [X] :
( ( ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cSatisfiable(X) )
& ( ( ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f107,plain,
( ! [X] :
( ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f108,plain,
( ! [X] :
( ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( cpxcomp(sK1_skl(X))
& rf1(X,sK1_skl(X))
& cp(sK0_skl(X))
& rf(X,sK0_skl(X)) )
| ~ cSatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f107]) ).
fof(f109,plain,
! [X0] :
( rf(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
! [X0] :
( cp(sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f111,plain,
! [X0] :
( rf1(X0,sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f112,plain,
! [X0] :
( cpxcomp(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ cpxcomp(X2)
| ~ rf1(X0,X2)
| ~ cp(X1)
| ~ rf(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f114,plain,
! [X] :
( cp(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f115,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(NNF_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
( ! [X] :
( ra_Px1(X,sK2_skl(X))
| cp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0] :
( ra_Px1(X0,sK2_skl(X0))
| cp(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f121,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f122,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ! [X] :
( ra_Px1(X,sK3_skl(X))
| ~ cpxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f121]) ).
fof(f123,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| cpxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f125,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f126,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f127,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f129,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf1(X,Z)
| ~ rf1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f29]) ).
fof(f132,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f131]) ).
fof(f133,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f135,plain,
! [X,Y] :
( ( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f136,plain,
( ! [X,Y] :
( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ! [X,Y] :
( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f135]) ).
fof(f137,plain,
! [X0,X1] :
( rf1(X1,X0)
| ~ rinvF1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0,X1] :
( ~ rf1(X1,X0)
| rinvF1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f139,plain,
! [X,Y] :
( ( ~ rs(Y,X)
| rinvS(X,Y) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f31]) ).
fof(f140,plain,
( ! [X,Y] :
( ~ rs(Y,X)
| rinvS(X,Y) )
& ! [X,Y] :
( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(miniscoping,[status(thm)],[f139]) ).
fof(f141,plain,
! [X0,X1] :
( rs(X1,X0)
| ~ rinvS(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f143,plain,
! [X,Y,Z] :
( Y = Z
| ~ rs(X,Z)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f144,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rs(X,Z)
| ~ rs(X,Y) ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rs(X0,X2)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
cSatisfiable(i2003_11_14_17_16_1832),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f147,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f148,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f150,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
rf(i2003_11_14_17_16_1832,sK0_skl(i2003_11_14_17_16_1832)),
inference(resolution,[status(thm)],[f109,f146]) ).
fof(f153,plain,
cp(sK0_skl(i2003_11_14_17_16_1832)),
inference(resolution,[status(thm)],[f110,f146]) ).
fof(f154,plain,
rf1(i2003_11_14_17_16_1832,sK1_skl(i2003_11_14_17_16_1832)),
inference(resolution,[status(thm)],[f111,f146]) ).
fof(f155,plain,
cpxcomp(sK1_skl(i2003_11_14_17_16_1832)),
inference(resolution,[status(thm)],[f112,f146]) ).
fof(f157,plain,
ra_Px1(sK1_skl(i2003_11_14_17_16_1832),sK3_skl(sK1_skl(i2003_11_14_17_16_1832))),
inference(resolution,[status(thm)],[f123,f155]) ).
fof(f158,plain,
! [X0] :
( cp(X0)
| cpxcomp(X0) ),
inference(resolution,[status(thm)],[f124,f119]) ).
fof(f159,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| cp(X0) ),
inference(resolution,[status(thm)],[f158,f123]) ).
fof(f160,plain,
rinvF(sK0_skl(i2003_11_14_17_16_1832),i2003_11_14_17_16_1832),
inference(resolution,[status(thm)],[f152,f134]) ).
fof(f161,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_16_1832)
| ~ rf(i2003_11_14_17_16_1832,X0) ),
inference(resolution,[status(thm)],[f152,f127]) ).
fof(f162,plain,
rinvF1(sK1_skl(i2003_11_14_17_16_1832),i2003_11_14_17_16_1832),
inference(resolution,[status(thm)],[f154,f138]) ).
fof(f163,plain,
! [X0] :
( X0 = sK1_skl(i2003_11_14_17_16_1832)
| ~ rf1(i2003_11_14_17_16_1832,X0) ),
inference(resolution,[status(thm)],[f154,f130]) ).
fof(f164,plain,
! [X0] :
( ~ cpxcomp(sK1_skl(i2003_11_14_17_16_1832))
| ~ cp(X0)
| ~ rf(i2003_11_14_17_16_1832,X0)
| cSatisfiable(i2003_11_14_17_16_1832) ),
inference(resolution,[status(thm)],[f154,f113]) ).
fof(f165,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_16_1832) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f168,definition,
! [X0] :
( sQ1_spl
<=> ( ~ cp(X0)
| ~ rf(i2003_11_14_17_16_1832,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f171,definition,
( sQ2_spl
<=> cpxcomp(sK1_skl(i2003_11_14_17_16_1832)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ2_spl
| ~ cpxcomp(sK1_skl(i2003_11_14_17_16_1832)) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f164,f165,f168,f171]) ).
fof(f175,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f155]) ).
fof(f176,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f175]) ).
fof(f179,plain,
~ cp(sK1_skl(i2003_11_14_17_16_1832)),
inference(resolution,[status(thm)],[f157,f118]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS044+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.60 % Computer : n008.cluster.edu
% 0.10/15.60 % Model : x86_64 x86_64
% 0.10/15.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.60 % Memory : 8046.5625MB
% 0.10/15.60 % OS : Linux 6.8.0-71-generic
% 0.02/15.60 % CPULimit : 300
% 0.02/15.60 % WCLimit : 300
% 0.02/15.60 % DateTime : Sun Sep 20 22:52:40 UTC 2026
% 0.02/15.60 % CPUTime :
% 0.02/15.61 % Drodi V4.1.1
% 0.02/15.62 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.02/15.62 % SZS output start Saturation for theBenchmark
% See solution above
% 0.02/15.64 % Elapsed time: 0.030512 seconds
% 0.02/15.64 % CPU time: 0.082710 seconds
% 0.02/15.64 % Total memory used: 2.886 MB
% 0.02/15.64 % Net memory used: 2.771 MB
%------------------------------------------------------------------------------