%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS036+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 : n017.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 01:00:08 PM UTC 2026
% Result : Satisfiable 0.09s 0.55s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( ca(Y)
& rinvF(X,Y) )
& ? [Y] :
( ? [Z] :
( ca(Z)
& rinvF(Y,Z) )
& rinvR(X,Y) )
& ~ ca(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] :
( ( rr(Y,Z)
& rr(X,Y) )
=> rr(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
cSatisfiable(i2003_11_14_17_15_47436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f67,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f70,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [X] :
( ( ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ ca(Z)
| ~ rinvF(Y,Z) )
| ~ rinvR(X,Y) )
| ca(X)
| cSatisfiable(X) )
& ( ( ? [Y] :
( ca(Y)
& rinvF(X,Y) )
& ? [Y] :
( ? [Z] :
( ca(Z)
& rinvF(Y,Z) )
& rinvR(X,Y) )
& ~ ca(X) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f74,plain,
( ! [X] :
( ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ ca(Z)
| ~ rinvF(Y,Z) )
| ~ rinvR(X,Y) )
| ca(X)
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ca(Y)
& rinvF(X,Y) )
& ? [Y] :
( ? [Z] :
( ca(Z)
& rinvF(Y,Z) )
& rinvR(X,Y) )
& ~ ca(X) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
( ! [X] :
( ! [Y] :
( ~ ca(Y)
| ~ rinvF(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ ca(Z)
| ~ rinvF(Y,Z) )
| ~ rinvR(X,Y) )
| ca(X)
| cSatisfiable(X) )
& ! [X] :
( ( ca(sK2_skl(X))
& rinvF(X,sK2_skl(X))
& ca(sK1_skl(X))
& rinvF(sK0_skl(X),sK1_skl(X))
& rinvR(X,sK0_skl(X))
& ~ ca(X) )
| ~ cSatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ ca(X0)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] :
( rinvR(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
! [X0] :
( rinvF(sK0_skl(X0),sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
! [X0] :
( ca(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f80,plain,
! [X0] :
( rinvF(X0,sK2_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f81,plain,
! [X0] :
( ca(sK2_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ ca(X3)
| ~ rinvF(X0,X3)
| ~ ca(X2)
| ~ rinvF(X1,X2)
| ~ rinvR(X0,X1)
| ca(X0)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f83,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f84,plain,
! [Y,Z] :
( Y = Z
| ! [X] :
( ~ rf(X,Z)
| ~ rf(X,Y) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f87,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f90,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f91,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f94,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f95,plain,
! [X,Z] :
( rr(X,Z)
| ! [Y] :
( ~ rr(Y,Z)
| ~ rr(X,Y) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
cSatisfiable(i2003_11_14_17_15_47436),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f98,plain,
! [X,Y] :
( rr(X,Y)
| ~ rf(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f99,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,plain,
rinvR(i2003_11_14_17_15_47436,sK0_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f77,f97]) ).
fof(f102,plain,
rinvF(sK0_skl(i2003_11_14_17_15_47436),sK1_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f78,f97]) ).
fof(f103,plain,
ca(sK1_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f79,f97]) ).
fof(f104,plain,
rinvF(i2003_11_14_17_15_47436,sK2_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f80,f97]) ).
fof(f105,plain,
ca(sK2_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f81,f97]) ).
fof(f106,plain,
~ cSatisfiable(sK1_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f103,f76]) ).
fof(f107,plain,
~ cSatisfiable(sK2_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f105,f76]) ).
fof(f108,plain,
rr(sK0_skl(i2003_11_14_17_15_47436),i2003_11_14_17_15_47436),
inference(resolution,[status(thm)],[f101,f92]) ).
fof(f109,plain,
! [X0,X1] :
( ~ ca(X1)
| ~ rinvF(i2003_11_14_17_15_47436,X1)
| ~ ca(X0)
| ~ rinvF(sK0_skl(i2003_11_14_17_15_47436),X0)
| ca(i2003_11_14_17_15_47436)
| cSatisfiable(i2003_11_14_17_15_47436) ),
inference(resolution,[status(thm)],[f101,f82]) ).
fof(f110,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_15_47436) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f113,definition,
( sQ1_spl
<=> ca(i2003_11_14_17_15_47436) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ1_spl
| ca(i2003_11_14_17_15_47436) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ1_spl
| ~ ca(i2003_11_14_17_15_47436) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
! [X0] :
( sQ2_spl
<=> ( ~ ca(X0)
| ~ rinvF(sK0_skl(i2003_11_14_17_15_47436),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f117,plain,
! [X0] :
( ~ sQ2_spl
| ~ ca(X0)
| ~ rinvF(sK0_skl(i2003_11_14_17_15_47436),X0) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
! [X1] :
( sQ3_spl
<=> ( ~ ca(X1)
| ~ rinvF(i2003_11_14_17_15_47436,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f120,plain,
! [X0] :
( ~ sQ3_spl
| ~ ca(X0)
| ~ rinvF(i2003_11_14_17_15_47436,X0) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f109,f110,f113,f116,f119]) ).
fof(f123,plain,
rf(sK1_skl(i2003_11_14_17_15_47436),sK0_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f102,f88]) ).
fof(f124,plain,
rf(sK2_skl(i2003_11_14_17_15_47436),i2003_11_14_17_15_47436),
inference(resolution,[status(thm)],[f104,f88]) ).
fof(f125,plain,
! [X0] :
( rr(sK0_skl(i2003_11_14_17_15_47436),X0)
| ~ rr(i2003_11_14_17_15_47436,X0) ),
inference(resolution,[status(thm)],[f108,f96]) ).
fof(f127,plain,
( ~ sQ3_spl
| ~ ca(sK2_skl(i2003_11_14_17_15_47436)) ),
inference(resolution,[status(thm)],[f120,f104]) ).
fof(f128,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f105]) ).
fof(f129,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f128]) ).
fof(f130,plain,
rr(sK1_skl(i2003_11_14_17_15_47436),sK0_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f123,f99]) ).
fof(f132,plain,
! [X0] :
( sK0_skl(i2003_11_14_17_15_47436) = X0
| ~ rf(sK1_skl(i2003_11_14_17_15_47436),X0) ),
inference(resolution,[status(thm)],[f123,f85]) ).
fof(f133,plain,
rr(sK2_skl(i2003_11_14_17_15_47436),i2003_11_14_17_15_47436),
inference(resolution,[status(thm)],[f124,f99]) ).
fof(f135,plain,
! [X0] :
( i2003_11_14_17_15_47436 = X0
| ~ rf(sK2_skl(i2003_11_14_17_15_47436),X0) ),
inference(resolution,[status(thm)],[f124,f85]) ).
fof(f136,plain,
! [X0] :
( rr(sK2_skl(i2003_11_14_17_15_47436),X0)
| ~ rr(i2003_11_14_17_15_47436,X0) ),
inference(resolution,[status(thm)],[f133,f96]) ).
fof(f137,plain,
rinvR(i2003_11_14_17_15_47436,sK2_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f133,f93]) ).
fof(f138,plain,
( ~ sQ2_spl
| ~ ca(sK1_skl(i2003_11_14_17_15_47436)) ),
inference(resolution,[status(thm)],[f117,f102]) ).
fof(f139,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f138,f103]) ).
fof(f140,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f142,plain,
! [X0,X1] :
( ~ ca(X1)
| ~ rinvF(i2003_11_14_17_15_47436,X1)
| ~ ca(X0)
| ~ rinvF(sK2_skl(i2003_11_14_17_15_47436),X0)
| ca(i2003_11_14_17_15_47436)
| cSatisfiable(i2003_11_14_17_15_47436) ),
inference(resolution,[status(thm)],[f137,f82]) ).
fof(f143,definition,
! [X0] :
( sQ4_spl
<=> ( ~ ca(X0)
| ~ rinvF(sK2_skl(i2003_11_14_17_15_47436),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ3_spl
| sQ4_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f142,f110,f113,f143,f119]) ).
fof(f147,plain,
! [X0] :
( rr(sK1_skl(i2003_11_14_17_15_47436),X0)
| ~ rr(sK0_skl(i2003_11_14_17_15_47436),X0) ),
inference(resolution,[status(thm)],[f130,f96]) ).
fof(f148,plain,
rinvR(sK0_skl(i2003_11_14_17_15_47436),sK1_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f130,f93]) ).
fof(f151,plain,
! [X0,X1] :
( ~ ca(X1)
| ~ rinvF(sK0_skl(i2003_11_14_17_15_47436),X1)
| ~ ca(X0)
| ~ rinvF(sK1_skl(i2003_11_14_17_15_47436),X0)
| ca(sK0_skl(i2003_11_14_17_15_47436))
| cSatisfiable(sK0_skl(i2003_11_14_17_15_47436)) ),
inference(resolution,[status(thm)],[f148,f82]) ).
fof(f152,definition,
( sQ5_spl
<=> cSatisfiable(sK0_skl(i2003_11_14_17_15_47436)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f155,definition,
( sQ6_spl
<=> ca(sK0_skl(i2003_11_14_17_15_47436)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f158,definition,
! [X0] :
( sQ7_spl
<=> ( ~ ca(X0)
| ~ rinvF(sK1_skl(i2003_11_14_17_15_47436),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f159,plain,
! [X0] :
( ~ sQ7_spl
| ~ ca(X0)
| ~ rinvF(sK1_skl(i2003_11_14_17_15_47436),X0) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( sQ2_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f151,f152,f155,f158,f116]) ).
fof(f162,plain,
( ~ sQ1_spl
| ~ cSatisfiable(i2003_11_14_17_15_47436) ),
inference(resolution,[status(thm)],[f114,f76]) ).
fof(f163,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f97]) ).
fof(f164,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f163]) ).
fof(f166,plain,
rr(sK1_skl(i2003_11_14_17_15_47436),i2003_11_14_17_15_47436),
inference(resolution,[status(thm)],[f147,f108]) ).
fof(f167,plain,
! [X0] :
( rr(sK1_skl(i2003_11_14_17_15_47436),X0)
| ~ rr(i2003_11_14_17_15_47436,X0) ),
inference(resolution,[status(thm)],[f166,f96]) ).
fof(f168,plain,
rinvR(i2003_11_14_17_15_47436,sK1_skl(i2003_11_14_17_15_47436)),
inference(resolution,[status(thm)],[f166,f93]) ).
fof(f170,plain,
! [X0,X1] :
( ~ ca(X1)
| ~ rinvF(i2003_11_14_17_15_47436,X1)
| ~ ca(X0)
| ~ rinvF(sK1_skl(i2003_11_14_17_15_47436),X0)
| ca(i2003_11_14_17_15_47436)
| cSatisfiable(i2003_11_14_17_15_47436) ),
inference(resolution,[status(thm)],[f168,f82]) ).
fof(f171,plain,
( sQ3_spl
| sQ7_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f170,f110,f113,f158,f119]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ7_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS036+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n017.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 22:46:27 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.55 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.55 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.57 % Elapsed time: 0.035223 seconds
% 0.13/0.57 % CPU time: 0.100630 seconds
% 0.13/0.57 % Total memory used: 3.196 MB
% 0.13/0.57 % Net memory used: 2.982 MB
%------------------------------------------------------------------------------