%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS039+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 : n001.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 01:00:09 PM UTC 2026
% Result : Satisfiable 0.12s 0.38s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( ! [Z] :
( rinvR(Y,Z)
=> ! [W] :
( rr1(Z,W)
=> ~ cp(W) ) )
& rr(X,Y) )
& ? [Y] :
( ! [Z] :
( rinvR(Y,Z)
=> ! [W] :
( rr1(Z,W)
=> cp(W) ) )
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
cSatisfiable(i2003_11_14_17_15_58383),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( ! [Z] :
( ! [W] :
( ~ cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(Y,Z) )
& rr(X,Y) )
& ? [Y] :
( ! [Z] :
( ! [W] :
( cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(Y,Z) )
& rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X] :
( ( ! [Y] :
( ? [Z] :
( ? [W] :
( cp(W)
& rr1(Z,W) )
& rinvR(Y,Z) )
| ~ rr(X,Y) )
| ! [Y] :
( ? [Z] :
( ? [W] :
( ~ cp(W)
& rr1(Z,W) )
& rinvR(Y,Z) )
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ( ( ? [Y] :
( ! [Z] :
( ! [W] :
( ~ cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(Y,Z) )
& rr(X,Y) )
& ? [Y] :
( ! [Z] :
( ! [W] :
( cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(Y,Z) )
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( ! [X] :
( ! [Y] :
( ? [Z] :
( ? [W] :
( cp(W)
& rr1(Z,W) )
& rinvR(Y,Z) )
| ~ rr(X,Y) )
| ! [Y] :
( ? [Z] :
( ? [W] :
( ~ cp(W)
& rr1(Z,W) )
& rinvR(Y,Z) )
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ! [Z] :
( ! [W] :
( ~ cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(Y,Z) )
& rr(X,Y) )
& ? [Y] :
( ! [Z] :
( ! [W] :
( cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(Y,Z) )
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f16,plain,
( ! [X] :
( ! [Y] :
( ( cp(sK5_skl(Y,X))
& rr1(sK4_skl(Y,X),sK5_skl(Y,X))
& rinvR(Y,sK4_skl(Y,X)) )
| ~ rr(X,Y) )
| ! [Y] :
( ( ~ cp(sK3_skl(Y,X))
& rr1(sK2_skl(Y,X),sK3_skl(Y,X))
& rinvR(Y,sK2_skl(Y,X)) )
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ! [Z] :
( ! [W] :
( ~ cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(sK1_skl(X),Z) )
& rr(X,sK1_skl(X))
& ! [Z] :
( ! [W] :
( cp(W)
| ~ rr1(Z,W) )
| ~ rinvR(sK0_skl(X),Z) )
& rr(X,sK0_skl(X)) )
| ~ cSatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Z,sK2_skl(Y,X)),skolemize(W,sK3_skl(Y,X)),skolemize(Z,sK4_skl(Y,X)),skolemize(W,sK5_skl(Y,X))],[f15]) ).
fof(f17,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( cp(X2)
| ~ rr1(X1,X2)
| ~ rinvR(sK0_skl(X0),X1)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( rr(X0,sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ cp(X2)
| ~ rr1(X1,X2)
| ~ rinvR(sK1_skl(X0),X1)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f21,plain,
! [X0,X1,X2] :
( rinvR(X2,sK4_skl(X2,X0))
| ~ rr(X0,X2)
| rinvR(X1,sK2_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f22,plain,
! [X0,X1,X2] :
( rr1(sK4_skl(X2,X0),sK5_skl(X2,X0))
| ~ rr(X0,X2)
| rinvR(X1,sK2_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f23,plain,
! [X0,X1,X2] :
( cp(sK5_skl(X2,X0))
| ~ rr(X0,X2)
| rinvR(X1,sK2_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f24,plain,
! [X0,X1,X2] :
( rinvR(X2,sK4_skl(X2,X0))
| ~ rr(X0,X2)
| rr1(sK2_skl(X1,X0),sK3_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f25,plain,
! [X0,X1,X2] :
( rr1(sK4_skl(X2,X0),sK5_skl(X2,X0))
| ~ rr(X0,X2)
| rr1(sK2_skl(X1,X0),sK3_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f26,plain,
! [X0,X1,X2] :
( cp(sK5_skl(X2,X0))
| ~ rr(X0,X2)
| rr1(sK2_skl(X1,X0),sK3_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f27,plain,
! [X0,X1,X2] :
( rinvR(X2,sK4_skl(X2,X0))
| ~ rr(X0,X2)
| ~ cp(sK3_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f28,plain,
! [X0,X1,X2] :
( rr1(sK4_skl(X2,X0),sK5_skl(X2,X0))
| ~ rr(X0,X2)
| ~ cp(sK3_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f29,plain,
! [X0,X1,X2] :
( cp(sK5_skl(X2,X0))
| ~ rr(X0,X2)
| ~ cp(sK3_skl(X1,X0))
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f30,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
cSatisfiable(i2003_11_14_17_15_58383),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f36,plain,
rr(i2003_11_14_17_15_58383,sK0_skl(i2003_11_14_17_15_58383)),
inference(resolution,[status(thm)],[f34,f17]) ).
fof(f37,plain,
rr(i2003_11_14_17_15_58383,sK1_skl(i2003_11_14_17_15_58383)),
inference(resolution,[status(thm)],[f19,f34]) ).
fof(f38,plain,
rinvR(sK0_skl(i2003_11_14_17_15_58383),i2003_11_14_17_15_58383),
inference(resolution,[status(thm)],[f36,f33]) ).
fof(f45,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_15_58383) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( sQ0_spl
| ~ cSatisfiable(i2003_11_14_17_15_58383) ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f51,definition,
! [X0] :
( sQ2_spl
<=> ( cp(sK5_skl(X0,i2003_11_14_17_15_58383))
| ~ rr(i2003_11_14_17_15_58383,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f52,plain,
! [X0] :
( ~ sQ2_spl
| cp(sK5_skl(X0,i2003_11_14_17_15_58383))
| ~ rr(i2003_11_14_17_15_58383,X0) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f55,definition,
! [X0] :
( sQ3_spl
<=> ( rr1(sK4_skl(X0,i2003_11_14_17_15_58383),sK5_skl(X0,i2003_11_14_17_15_58383))
| ~ rr(i2003_11_14_17_15_58383,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f56,plain,
! [X0] :
( ~ sQ3_spl
| rr1(sK4_skl(X0,i2003_11_14_17_15_58383),sK5_skl(X0,i2003_11_14_17_15_58383))
| ~ rr(i2003_11_14_17_15_58383,X0) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f59,definition,
! [X0] :
( sQ4_spl
<=> ( rinvR(X0,sK4_skl(X0,i2003_11_14_17_15_58383))
| ~ rr(i2003_11_14_17_15_58383,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f60,plain,
! [X0] :
( ~ sQ4_spl
| rinvR(X0,sK4_skl(X0,i2003_11_14_17_15_58383))
| ~ rr(i2003_11_14_17_15_58383,X0) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f69,plain,
rinvR(sK1_skl(i2003_11_14_17_15_58383),i2003_11_14_17_15_58383),
inference(resolution,[status(thm)],[f37,f33]) ).
fof(f88,plain,
! [X0] :
( cp(X0)
| ~ rr1(i2003_11_14_17_15_58383,X0)
| ~ cSatisfiable(i2003_11_14_17_15_58383) ),
inference(resolution,[status(thm)],[f38,f18]) ).
fof(f90,definition,
! [X0] :
( sQ8_spl
<=> ( cp(X0)
| ~ rr1(i2003_11_14_17_15_58383,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f91,plain,
! [X0] :
( ~ sQ8_spl
| cp(X0)
| ~ rr1(i2003_11_14_17_15_58383,X0) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f45,f90]) ).
fof(f94,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f34]) ).
fof(f95,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ cp(X0)
| ~ rr1(i2003_11_14_17_15_58383,X0)
| ~ cSatisfiable(i2003_11_14_17_15_58383) ),
inference(resolution,[status(thm)],[f69,f20]) ).
fof(f98,definition,
! [X0] :
( sQ9_spl
<=> ( ~ cp(X0)
| ~ rr1(i2003_11_14_17_15_58383,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f99,plain,
! [X0] :
( ~ sQ9_spl
| ~ cp(X0)
| ~ rr1(i2003_11_14_17_15_58383,X0) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f96,f45,f98]) ).
fof(f102,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ8_spl
| ~ rr1(i2003_11_14_17_15_58383,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f91]) ).
fof(model,axiom,
( sQ0_spl
| sQ8_spl
| sQ9_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS039+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
% 0.09/0.36 % Computer : n001.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 22:56:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.032275 seconds
% 0.12/0.40 % CPU time: 0.073658 seconds
% 0.12/0.40 % Total memory used: 1.955 MB
% 0.12/0.40 % Net memory used: 1.876 MB
%------------------------------------------------------------------------------