%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS047+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.17s 5.46s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( ca_Vx2(Y)
& rinvR(X,Y) )
& caxcomp(X)
& ? [Y] :
( ca(Y)
& rinvF(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( ca(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( caxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( ca_Vx2(X)
<=> ? [Y] :
( ca(Y)
& rinvF(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,Z] :
( ( rr(Y,Z)
& rr(X,Y) )
=> rr(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
cSatisfiable(i2003_11_14_17_16_29157),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f86,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f88,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f89,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,plain,
! [X] :
( ( ! [Y] :
( ~ ca_Vx2(Y)
| ~ rinvR(X,Y) )
| ~ caxcomp(X)
| ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| cSatisfiable(X) )
& ( ( ? [Y] :
( ca_Vx2(Y)
& rinvR(X,Y) )
& caxcomp(X)
& ? [Y] :
( ca(Y)
& rinvF(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
( ! [X] :
( ! [Y] :
( ~ ca_Vx2(Y)
| ~ rinvR(X,Y) )
| ~ caxcomp(X)
| ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ca_Vx2(Y)
& rinvR(X,Y) )
& caxcomp(X)
& ? [Y] :
( ca(Y)
& rinvF(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
( ! [X] :
( ! [Y] :
( ~ ca_Vx2(Y)
| ~ rinvR(X,Y) )
| ~ caxcomp(X)
| ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ca_Vx2(sK1_skl(X))
& rinvR(X,sK1_skl(X))
& caxcomp(X)
& ca(sK0_skl(X))
& rinvF(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))],[f93]) ).
fof(f95,plain,
! [X0] :
( rinvF(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] :
( ca(sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [X0] :
( caxcomp(X0)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f98,plain,
! [X0] :
( rinvR(X0,sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f99,plain,
! [X0] :
( ca_Vx2(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ ca_Vx2(X2)
| ~ rinvR(X0,X2)
| ~ caxcomp(X0)
| ~ ca(X1)
| ~ rinvF(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f101,plain,
! [X] :
( ca(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f102,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| ca(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ ca(X) ) ),
inference(NNF_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| ca(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ ca(X) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f104,plain,
( ! [X] :
( ra_Px1(X,sK2_skl(X))
| ca(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ ca(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ ca(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0] :
( ra_Px1(X0,sK2_skl(X0))
| ca(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f107,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| caxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ caxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f108,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| caxcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ caxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| caxcomp(X) )
& ! [X] :
( ra_Px1(X,sK3_skl(X))
| ~ caxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f108]) ).
fof(f110,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| ~ caxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| caxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f112,plain,
! [X] :
( ( ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| ca_Vx2(X) )
& ( ? [Y] :
( ca(Y)
& rinvF(X,Y) )
| ~ ca_Vx2(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f113,plain,
( ! [X] :
( ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| ca_Vx2(X) )
& ! [X] :
( ? [Y] :
( ca(Y)
& rinvF(X,Y) )
| ~ ca_Vx2(X) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f114,plain,
( ! [X] :
( ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| ca_Vx2(X) )
& ! [X] :
( ( ca(sK4_skl(X))
& rinvF(X,sK4_skl(X)) )
| ~ ca_Vx2(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f113]) ).
fof(f115,plain,
! [X0] :
( rinvF(X0,sK4_skl(X0))
| ~ ca_Vx2(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X0] :
( ca(sK4_skl(X0))
| ~ ca_Vx2(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f117,plain,
! [X0,X1] :
( ~ ca(X1)
| ~ rinvF(X0,X1)
| ca_Vx2(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f118,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f119,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f122,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f125,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f126,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f129,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f130,plain,
! [X,Z] :
( rr(X,Z)
| ! [Y] :
( ~ rr(Y,Z)
| ~ rr(X,Y) ) ),
inference(miniscoping,[status(thm)],[f129]) ).
fof(f131,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,plain,
cSatisfiable(i2003_11_14_17_16_29157),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f133,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f134,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
caxcomp(i2003_11_14_17_16_29157),
inference(resolution,[status(thm)],[f97,f132]) ).
fof(f137,plain,
rinvF(i2003_11_14_17_16_29157,sK0_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f95,f132]) ).
fof(f138,plain,
ca(sK0_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f96,f132]) ).
fof(f139,plain,
rinvR(i2003_11_14_17_16_29157,sK1_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f98,f132]) ).
fof(f140,plain,
ca_Vx2(sK1_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f99,f132]) ).
fof(f142,plain,
! [X0] :
( ca(X0)
| caxcomp(X0) ),
inference(resolution,[status(thm)],[f111,f106]) ).
fof(f143,plain,
ra_Px1(i2003_11_14_17_16_29157,sK3_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f136,f110]) ).
fof(f144,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| ca(X0) ),
inference(resolution,[status(thm)],[f142,f110]) ).
fof(f147,plain,
ca(sK4_skl(sK1_skl(i2003_11_14_17_16_29157))),
inference(resolution,[status(thm)],[f140,f116]) ).
fof(f148,plain,
rinvF(sK1_skl(i2003_11_14_17_16_29157),sK4_skl(sK1_skl(i2003_11_14_17_16_29157))),
inference(resolution,[status(thm)],[f140,f115]) ).
fof(f149,plain,
rf(sK0_skl(i2003_11_14_17_16_29157),i2003_11_14_17_16_29157),
inference(resolution,[status(thm)],[f137,f123]) ).
fof(f150,plain,
( ~ ca(sK0_skl(i2003_11_14_17_16_29157))
| ca_Vx2(i2003_11_14_17_16_29157) ),
inference(resolution,[status(thm)],[f137,f117]) ).
fof(f151,plain,
! [X0] :
( ~ ca_Vx2(X0)
| ~ rinvR(i2003_11_14_17_16_29157,X0)
| ~ caxcomp(i2003_11_14_17_16_29157)
| ~ ca(sK0_skl(i2003_11_14_17_16_29157))
| cSatisfiable(i2003_11_14_17_16_29157) ),
inference(resolution,[status(thm)],[f137,f100]) ).
fof(f152,definition,
( sQ0_spl
<=> ca_Vx2(i2003_11_14_17_16_29157) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ0_spl
| ca_Vx2(i2003_11_14_17_16_29157) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ1_spl
<=> ca(sK0_skl(i2003_11_14_17_16_29157)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( sQ1_spl
| ~ ca(sK0_skl(i2003_11_14_17_16_29157)) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f150,f152,f155]) ).
fof(f159,definition,
( sQ2_spl
<=> cSatisfiable(i2003_11_14_17_16_29157) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f162,definition,
( sQ3_spl
<=> caxcomp(i2003_11_14_17_16_29157) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( sQ3_spl
| ~ caxcomp(i2003_11_14_17_16_29157) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
! [X0] :
( sQ4_spl
<=> ( ~ ca_Vx2(X0)
| ~ rinvR(i2003_11_14_17_16_29157,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f166,plain,
! [X0] :
( ~ sQ4_spl
| ~ ca_Vx2(X0)
| ~ rinvR(i2003_11_14_17_16_29157,X0) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f151,f159,f155,f162,f165]) ).
fof(f169,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f138]) ).
fof(f170,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f171,plain,
rr(sK1_skl(i2003_11_14_17_16_29157),i2003_11_14_17_16_29157),
inference(resolution,[status(thm)],[f139,f127]) ).
fof(f173,plain,
~ ca(i2003_11_14_17_16_29157),
inference(resolution,[status(thm)],[f143,f105]) ).
fof(f174,plain,
( ~ sQ0_spl
| ca(sK4_skl(i2003_11_14_17_16_29157)) ),
inference(resolution,[status(thm)],[f153,f116]) ).
fof(f175,plain,
( ~ sQ0_spl
| rinvF(i2003_11_14_17_16_29157,sK4_skl(i2003_11_14_17_16_29157)) ),
inference(resolution,[status(thm)],[f153,f115]) ).
fof(f176,plain,
rf(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)),sK1_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f148,f123]) ).
fof(f177,plain,
( ~ ca(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)))
| ca_Vx2(sK1_skl(i2003_11_14_17_16_29157)) ),
inference(resolution,[status(thm)],[f148,f117]) ).
fof(f178,plain,
! [X0] :
( ~ ca_Vx2(X0)
| ~ rinvR(sK1_skl(i2003_11_14_17_16_29157),X0)
| ~ caxcomp(sK1_skl(i2003_11_14_17_16_29157))
| ~ ca(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)))
| cSatisfiable(sK1_skl(i2003_11_14_17_16_29157)) ),
inference(resolution,[status(thm)],[f148,f100]) ).
fof(f179,definition,
( sQ5_spl
<=> ca_Vx2(sK1_skl(i2003_11_14_17_16_29157)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f182,definition,
( sQ6_spl
<=> ca(sK4_skl(sK1_skl(i2003_11_14_17_16_29157))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ6_spl
| ~ ca(sK4_skl(sK1_skl(i2003_11_14_17_16_29157))) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f177,f179,f182]) ).
fof(f186,definition,
( sQ7_spl
<=> cSatisfiable(sK1_skl(i2003_11_14_17_16_29157)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ7_spl
| cSatisfiable(sK1_skl(i2003_11_14_17_16_29157)) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ8_spl
<=> caxcomp(sK1_skl(i2003_11_14_17_16_29157)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ8_spl
| ~ caxcomp(sK1_skl(i2003_11_14_17_16_29157)) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
! [X0] :
( sQ9_spl
<=> ( ~ ca_Vx2(X0)
| ~ rinvR(sK1_skl(i2003_11_14_17_16_29157),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f193,plain,
! [X0] :
( ~ sQ9_spl
| ~ ca_Vx2(X0)
| ~ rinvR(sK1_skl(i2003_11_14_17_16_29157),X0) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ9_spl
| ~ sQ8_spl
| ~ sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f178,f186,f182,f189,f192]) ).
fof(f196,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f147]) ).
fof(f197,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f196]) ).
fof(f198,plain,
rr(sK0_skl(i2003_11_14_17_16_29157),i2003_11_14_17_16_29157),
inference(resolution,[status(thm)],[f149,f134]) ).
fof(f200,plain,
! [X0] :
( i2003_11_14_17_16_29157 = X0
| ~ rf(sK0_skl(i2003_11_14_17_16_29157),X0) ),
inference(resolution,[status(thm)],[f149,f120]) ).
fof(f201,plain,
( ~ sQ4_spl
| ~ ca_Vx2(sK1_skl(i2003_11_14_17_16_29157)) ),
inference(resolution,[status(thm)],[f166,f139]) ).
fof(f202,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f140]) ).
fof(f203,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
! [X0] :
( rr(sK1_skl(i2003_11_14_17_16_29157),X0)
| ~ rr(i2003_11_14_17_16_29157,X0) ),
inference(resolution,[status(thm)],[f171,f131]) ).
fof(f206,plain,
( ~ sQ0_spl
| rf(sK4_skl(i2003_11_14_17_16_29157),i2003_11_14_17_16_29157) ),
inference(resolution,[status(thm)],[f175,f123]) ).
fof(f208,plain,
! [X0] :
( ~ sQ0_spl
| ~ ca_Vx2(X0)
| ~ rinvR(i2003_11_14_17_16_29157,X0)
| ~ caxcomp(i2003_11_14_17_16_29157)
| ~ ca(sK4_skl(i2003_11_14_17_16_29157))
| cSatisfiable(i2003_11_14_17_16_29157) ),
inference(resolution,[status(thm)],[f175,f100]) ).
fof(f209,definition,
( sQ10_spl
<=> ca(sK4_skl(i2003_11_14_17_16_29157)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ10_spl
| ca(sK4_skl(i2003_11_14_17_16_29157)) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ10_spl
| ~ ca(sK4_skl(i2003_11_14_17_16_29157)) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f213,plain,
( ~ sQ0_spl
| sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f208,f159,f209,f162,f165,f152]) ).
fof(f214,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f136]) ).
fof(f215,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ10_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f174]) ).
fof(f217,plain,
( sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f216]) ).
fof(f218,plain,
rr(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)),sK1_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f176,f134]) ).
fof(f220,plain,
! [X0] :
( sK1_skl(i2003_11_14_17_16_29157) = X0
| ~ rf(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)),X0) ),
inference(resolution,[status(thm)],[f176,f120]) ).
fof(f221,plain,
! [X0] :
( rr(sK0_skl(i2003_11_14_17_16_29157),X0)
| ~ rr(i2003_11_14_17_16_29157,X0) ),
inference(resolution,[status(thm)],[f198,f131]) ).
fof(f222,plain,
rinvR(i2003_11_14_17_16_29157,sK0_skl(i2003_11_14_17_16_29157)),
inference(resolution,[status(thm)],[f198,f128]) ).
fof(f223,plain,
( ~ sQ0_spl
| rr(sK4_skl(i2003_11_14_17_16_29157),i2003_11_14_17_16_29157) ),
inference(resolution,[status(thm)],[f206,f134]) ).
fof(f225,plain,
! [X0] :
( ~ sQ0_spl
| i2003_11_14_17_16_29157 = X0
| ~ rf(sK4_skl(i2003_11_14_17_16_29157),X0) ),
inference(resolution,[status(thm)],[f206,f120]) ).
fof(f228,plain,
! [X0] :
( ~ sQ0_spl
| rr(sK4_skl(i2003_11_14_17_16_29157),X0)
| ~ rr(i2003_11_14_17_16_29157,X0) ),
inference(resolution,[status(thm)],[f223,f131]) ).
fof(f229,plain,
( ~ sQ0_spl
| rinvR(i2003_11_14_17_16_29157,sK4_skl(i2003_11_14_17_16_29157)) ),
inference(resolution,[status(thm)],[f223,f128]) ).
fof(f232,plain,
! [X0] :
( rr(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)),X0)
| ~ rr(sK1_skl(i2003_11_14_17_16_29157),X0) ),
inference(resolution,[status(thm)],[f218,f131]) ).
fof(f233,plain,
rinvR(sK1_skl(i2003_11_14_17_16_29157),sK4_skl(sK1_skl(i2003_11_14_17_16_29157))),
inference(resolution,[status(thm)],[f218,f128]) ).
fof(f235,plain,
rr(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)),i2003_11_14_17_16_29157),
inference(resolution,[status(thm)],[f232,f171]) ).
fof(f236,plain,
( ~ sQ9_spl
| ~ ca_Vx2(sK4_skl(sK1_skl(i2003_11_14_17_16_29157))) ),
inference(resolution,[status(thm)],[f233,f193]) ).
fof(f238,plain,
! [X0] :
( rr(sK4_skl(sK1_skl(i2003_11_14_17_16_29157)),X0)
| ~ rr(i2003_11_14_17_16_29157,X0) ),
inference(resolution,[status(thm)],[f235,f131]) ).
fof(f239,plain,
rinvR(i2003_11_14_17_16_29157,sK4_skl(sK1_skl(i2003_11_14_17_16_29157))),
inference(resolution,[status(thm)],[f235,f128]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| sQ6_spl
| sQ9_spl
| sQ10_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS047+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n004.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Sun Sep 20 22:51:55 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.45 % Drodi V4.1.1
% 0.17/5.46 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/5.46 % SZS output start Saturation for theBenchmark
% See solution above
% 0.21/5.50 % Elapsed time: 0.052405 seconds
% 0.21/5.50 % CPU time: 0.078977 seconds
% 0.21/5.50 % Total memory used: 1.499 MB
% 0.21/5.50 % Net memory used: 1.418 MB
%------------------------------------------------------------------------------