%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS045+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 : 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 01:00:10 PM UTC 2026
% Result : Satisfiable 0.09s 0.38s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf2(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( cp1(X)
=> cp2xcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( cp2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cp2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf1(X,Y1)
& rf1(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf2(X,Y1)
& rf2(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
cSatisfiable(i2003_11_14_17_16_21280),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f77,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f79,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f80,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
! [X] :
( ( ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) )
| cSatisfiable(X) )
& ( ( ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf2(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f84,plain,
( ! [X] :
( ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf2(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f85,plain,
( ! [X] :
( ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( cp1(sK1_skl(X))
& rf1(X,sK1_skl(X))
& cp2(sK0_skl(X))
& rf2(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))],[f84]) ).
fof(f86,plain,
! [X0] :
( rf2(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0] :
( cp2(sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f88,plain,
! [X0] :
( rf1(X0,sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f89,plain,
! [X0] :
( cp1(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ cp1(X2)
| ~ rf1(X0,X2)
| ~ cp2(X1)
| ~ rf2(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f91,plain,
! [X] :
( cp2xcomp(X)
| ~ cp1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
! [X0] :
( cp2xcomp(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X] :
( cp2(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f94,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp2(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp2(X) ) ),
inference(NNF_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cp2(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp2(X) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f96,plain,
( ! [X] :
( ra_Px1(X,sK2_skl(X))
| cp2(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp2(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0] :
( ra_Px1(X0,sK2_skl(X0))
| cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f99,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cp2xcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cp2xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f100,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cp2xcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ cp2xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f101,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cp2xcomp(X) )
& ! [X] :
( ra_Px1(X,sK3_skl(X))
| ~ cp2xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f100]) ).
fof(f102,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| ~ cp2xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| cp2xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf1(X,Y1)
| ~ rf1(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f105,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf2(X,Y1)
| ~ rf2(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f107,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
cSatisfiable(i2003_11_14_17_16_21280),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f109,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f110,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [X,Y] :
( rf2(X,Y)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f112,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f77]) ).
fof(f114,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf2(X0,X2)
| ~ rf2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f77]) ).
fof(f116,plain,
rf2(i2003_11_14_17_16_21280,sK0_skl(i2003_11_14_17_16_21280)),
inference(resolution,[status(thm)],[f86,f108]) ).
fof(f117,plain,
cp2(sK0_skl(i2003_11_14_17_16_21280)),
inference(resolution,[status(thm)],[f87,f108]) ).
fof(f118,plain,
rf1(i2003_11_14_17_16_21280,sK1_skl(i2003_11_14_17_16_21280)),
inference(resolution,[status(thm)],[f88,f108]) ).
fof(f119,plain,
cp1(sK1_skl(i2003_11_14_17_16_21280)),
inference(resolution,[status(thm)],[f89,f108]) ).
fof(f120,plain,
cp2xcomp(sK1_skl(i2003_11_14_17_16_21280)),
inference(resolution,[status(thm)],[f119,f92]) ).
fof(f122,plain,
ra_Px1(sK1_skl(i2003_11_14_17_16_21280),sK3_skl(sK1_skl(i2003_11_14_17_16_21280))),
inference(resolution,[status(thm)],[f102,f120]) ).
fof(f123,plain,
! [X0] :
( cp2(X0)
| cp2xcomp(X0) ),
inference(resolution,[status(thm)],[f103,f98]) ).
fof(f124,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| cp2(X0) ),
inference(resolution,[status(thm)],[f123,f102]) ).
fof(f125,plain,
! [X0] :
( X0 = sK0_skl(i2003_11_14_17_16_21280)
| ~ rf2(i2003_11_14_17_16_21280,X0) ),
inference(resolution,[status(thm)],[f116,f114]) ).
fof(f126,plain,
! [X0] :
( ~ cp1(X0)
| ~ rf1(i2003_11_14_17_16_21280,X0)
| ~ cp2(sK0_skl(i2003_11_14_17_16_21280))
| cSatisfiable(i2003_11_14_17_16_21280) ),
inference(resolution,[status(thm)],[f116,f90]) ).
fof(f127,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_16_21280) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f130,definition,
( sQ1_spl
<=> cp2(sK0_skl(i2003_11_14_17_16_21280)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f133,definition,
! [X0] :
( sQ2_spl
<=> ( ~ cp1(X0)
| ~ rf1(i2003_11_14_17_16_21280,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f134,plain,
! [X0] :
( ~ sQ2_spl
| ~ cp1(X0)
| ~ rf1(i2003_11_14_17_16_21280,X0) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f126,f127,f130,f133]) ).
fof(f137,plain,
! [X0] :
( X0 = sK1_skl(i2003_11_14_17_16_21280)
| ~ rf1(i2003_11_14_17_16_21280,X0) ),
inference(resolution,[status(thm)],[f118,f113]) ).
fof(f141,plain,
( ~ sQ2_spl
| ~ cp1(sK1_skl(i2003_11_14_17_16_21280)) ),
inference(resolution,[status(thm)],[f134,f118]) ).
fof(f142,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f119]) ).
fof(f143,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f142]) ).
fof(f146,plain,
~ cp2(sK1_skl(i2003_11_14_17_16_21280)),
inference(resolution,[status(thm)],[f122,f97]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ2_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS045+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:52:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.035201 seconds
% 0.13/0.40 % CPU time: 0.081977 seconds
% 0.13/0.40 % Total memory used: 2.332 MB
% 0.13/0.40 % Net memory used: 2.273 MB
%------------------------------------------------------------------------------