%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS037+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 : n012.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 0.14s 10.40s
% Output : Saturation 0.14s
% 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)
<=> ( cp1(X)
& ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( rinvR(Z,W)
=> ( ! [A] :
( rr(W,A)
=> cp1(A) )
| ~ cp1(W) ) )
& rr(Y,Z) )
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
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_51999),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f66,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f72,plain,
! [X] :
( cSatisfiable(X)
<=> ( cp1(X)
& ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ! [A] :
( cp1(A)
| ~ rr(W,A) )
| ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
! [X] :
( ( ~ cp1(X)
| ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ? [W] :
( ? [A] :
( ~ cp1(A)
& rr(W,A) )
& cp1(W)
& rinvR(Z,W) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ( ( cp1(X)
& ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ! [A] :
( cp1(A)
| ~ rr(W,A) )
| ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ? [W] :
( ? [A] :
( ~ cp1(A)
& rr(W,A) )
& cp1(W)
& rinvR(Z,W) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( cp1(X)
& ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ! [A] :
( cp1(A)
| ~ rr(W,A) )
| ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
( ! [X] :
( ~ cp1(X)
| ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ( ~ cp1(sK3_skl(Z,Y,X))
& rr(sK2_skl(Z,Y,X),sK3_skl(Z,Y,X))
& cp1(sK2_skl(Z,Y,X))
& rinvR(Z,sK2_skl(Z,Y,X)) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( cp1(X)
& cp1(sK1_skl(X))
& ! [W] :
( ! [A] :
( cp1(A)
| ~ rr(W,A) )
| ~ cp1(W)
| ~ rinvR(sK1_skl(X),W) )
& rr(sK0_skl(X),sK1_skl(X))
& rr(X,sK0_skl(X)) )
| ~ cSatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(W,sK2_skl(Z,Y,X)),skolemize(A,sK3_skl(Z,Y,X))],[f74]) ).
fof(f76,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] :
( rr(sK0_skl(X0),sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
! [X0,X1,X2] :
( cp1(X2)
| ~ rr(X1,X2)
| ~ cp1(X1)
| ~ rinvR(sK1_skl(X0),X1)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
! [X0] :
( cp1(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f80,plain,
! [X0] :
( cp1(X0)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ cp1(X0)
| ~ cp1(X2)
| rinvR(X2,sK2_skl(X2,X1,X0))
| ~ rr(X1,X2)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ cp1(X0)
| ~ cp1(X2)
| cp1(sK2_skl(X2,X1,X0))
| ~ rr(X1,X2)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ cp1(X0)
| ~ cp1(X2)
| rr(sK2_skl(X2,X1,X0),sK3_skl(X2,X1,X0))
| ~ rr(X1,X2)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ cp1(X0)
| ~ cp1(X2)
| ~ cp1(sK3_skl(X2,X1,X0))
| ~ rr(X1,X2)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f85,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f86,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f88,plain,
( ! [X,Y] :
( ~ rf(Y,X)
| rinvF(X,Y) )
& ! [X,Y] :
( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f91,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f95,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f96,plain,
! [X,Z] :
( rr(X,Z)
| ! [Y] :
( ~ rr(Y,Z)
| ~ rr(X,Y) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
cSatisfiable(i2003_11_14_17_15_51999),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f99,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f66]) ).
fof(f101,plain,
cp1(i2003_11_14_17_15_51999),
inference(resolution,[status(thm)],[f98,f80]) ).
fof(f102,plain,
cp1(sK1_skl(i2003_11_14_17_15_51999)),
inference(resolution,[status(thm)],[f98,f79]) ).
fof(f103,plain,
rr(sK0_skl(i2003_11_14_17_15_51999),sK1_skl(i2003_11_14_17_15_51999)),
inference(resolution,[status(thm)],[f98,f77]) ).
fof(f104,plain,
rr(i2003_11_14_17_15_51999,sK0_skl(i2003_11_14_17_15_51999)),
inference(resolution,[status(thm)],[f98,f76]) ).
fof(f105,plain,
rinvR(sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999),
inference(resolution,[status(thm)],[f104,f94]) ).
fof(f106,plain,
! [X0] :
( ~ cp1(i2003_11_14_17_15_51999)
| ~ cp1(X0)
| rr(sK2_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999),sK3_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f104,f83]) ).
fof(f107,plain,
! [X0] :
( ~ cp1(i2003_11_14_17_15_51999)
| ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f104,f81]) ).
fof(f108,plain,
! [X0] :
( ~ cp1(i2003_11_14_17_15_51999)
| ~ cp1(X0)
| cp1(sK2_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f104,f82]) ).
fof(f109,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_15_51999) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f112,definition,
! [X0] :
( sQ1_spl
<=> ( ~ cp1(X0)
| rr(sK2_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999),sK3_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f115,definition,
( sQ2_spl
<=> cp1(i2003_11_14_17_15_51999) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ2_spl
| ~ cp1(i2003_11_14_17_15_51999) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f109,f112,f115]) ).
fof(f119,definition,
! [X0] :
( sQ3_spl
<=> ( ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ2_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f107,f109,f119,f115]) ).
fof(f123,definition,
! [X0] :
( sQ4_spl
<=> ( ~ cp1(X0)
| cp1(sK2_skl(X0,sK0_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ2_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f108,f109,f123,f115]) ).
fof(f127,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f101]) ).
fof(f128,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0] :
( rr(i2003_11_14_17_15_51999,X0)
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0) ),
inference(resolution,[status(thm)],[f97,f104]) ).
fof(f130,plain,
! [X0] :
( rr(sK0_skl(i2003_11_14_17_15_51999),X0)
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ),
inference(resolution,[status(thm)],[f103,f97]) ).
fof(f131,plain,
rinvR(sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)),
inference(resolution,[status(thm)],[f103,f94]) ).
fof(f132,plain,
! [X0] :
( ~ cp1(sK0_skl(i2003_11_14_17_15_51999))
| ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)),sK3_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(resolution,[status(thm)],[f103,f83]) ).
fof(f133,plain,
! [X0] :
( ~ cp1(sK0_skl(i2003_11_14_17_15_51999))
| ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(resolution,[status(thm)],[f103,f81]) ).
fof(f134,plain,
! [X0] :
( ~ cp1(sK0_skl(i2003_11_14_17_15_51999))
| ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(resolution,[status(thm)],[f103,f82]) ).
fof(f135,definition,
( sQ5_spl
<=> cSatisfiable(sK0_skl(i2003_11_14_17_15_51999)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ5_spl
| cSatisfiable(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
! [X0] :
( sQ6_spl
<=> ( ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)),sK3_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f139,plain,
! [X0] :
( ~ sQ6_spl
| ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)),sK3_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ7_spl
<=> cp1(sK0_skl(i2003_11_14_17_15_51999)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ7_spl
| cp1(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ7_spl
| ~ cp1(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( ~ sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f132,f135,f138,f141]) ).
fof(f145,definition,
! [X0] :
( sQ8_spl
<=> ( ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f146,plain,
! [X0] :
( ~ sQ8_spl
| ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( ~ sQ7_spl
| sQ8_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f133,f135,f145,f141]) ).
fof(f149,definition,
! [X0] :
( sQ9_spl
<=> ( ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f150,plain,
! [X0] :
( ~ sQ9_spl
| ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),sK0_skl(i2003_11_14_17_15_51999)))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( ~ sQ7_spl
| sQ9_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f134,f135,f149,f141]) ).
fof(f154,plain,
rr(i2003_11_14_17_15_51999,sK1_skl(i2003_11_14_17_15_51999)),
inference(resolution,[status(thm)],[f129,f103]) ).
fof(f155,plain,
! [X0] :
( cp1(X0)
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0)
| ~ cp1(sK0_skl(i2003_11_14_17_15_51999))
| ~ cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f131,f78]) ).
fof(f157,definition,
! [X0] :
( sQ10_spl
<=> ( cp1(X0)
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0] :
( ~ sQ10_spl
| cp1(X0)
| ~ rr(sK0_skl(i2003_11_14_17_15_51999),X0) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f155,f109,f141,f157]) ).
fof(f161,plain,
! [X0] :
( rr(i2003_11_14_17_15_51999,X0)
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ),
inference(resolution,[status(thm)],[f154,f97]) ).
fof(f162,plain,
rinvR(sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999),
inference(resolution,[status(thm)],[f154,f94]) ).
fof(f163,plain,
! [X0] :
( ~ cp1(i2003_11_14_17_15_51999)
| ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999),sK3_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f154,f83]) ).
fof(f164,plain,
! [X0] :
( ~ cp1(i2003_11_14_17_15_51999)
| ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f154,f81]) ).
fof(f165,plain,
! [X0] :
( ~ cp1(i2003_11_14_17_15_51999)
| ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0)
| cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f154,f82]) ).
fof(f166,definition,
! [X0] :
( sQ11_spl
<=> ( ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999),sK3_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ2_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f163,f109,f166,f115]) ).
fof(f170,definition,
! [X0] :
( sQ12_spl
<=> ( ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ2_spl
| sQ12_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f164,f109,f170,f115]) ).
fof(f174,definition,
! [X0] :
( sQ13_spl
<=> ( ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(i2003_11_14_17_15_51999),i2003_11_14_17_15_51999))
| ~ rr(sK1_skl(i2003_11_14_17_15_51999),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ2_spl
| sQ13_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f165,f109,f174,f115]) ).
fof(f178,plain,
! [X0] :
( cp1(X0)
| ~ rr(i2003_11_14_17_15_51999,X0)
| ~ cp1(i2003_11_14_17_15_51999)
| ~ cSatisfiable(i2003_11_14_17_15_51999) ),
inference(resolution,[status(thm)],[f162,f78]) ).
fof(f180,definition,
! [X0] :
( sQ14_spl
<=> ( cp1(X0)
| ~ rr(i2003_11_14_17_15_51999,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f181,plain,
! [X0] :
( ~ sQ14_spl
| cp1(X0)
| ~ rr(i2003_11_14_17_15_51999,X0) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ14_spl
| ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f178,f109,f115,f180]) ).
fof(f185,plain,
( ~ sQ14_spl
| cp1(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(resolution,[status(thm)],[f181,f104]) ).
fof(f186,plain,
( ~ sQ14_spl
| sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f143]) ).
fof(f187,plain,
( ~ sQ14_spl
| sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( ~ sQ5_spl
| cp1(sK0_skl(i2003_11_14_17_15_51999)) ),
inference(resolution,[status(thm)],[f136,f80]) ).
fof(f189,plain,
( ~ sQ5_spl
| cp1(sK1_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f136,f79]) ).
fof(f190,plain,
( ~ sQ5_spl
| rr(sK0_skl(sK0_skl(i2003_11_14_17_15_51999)),sK1_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f136,f77]) ).
fof(f191,plain,
( ~ sQ5_spl
| rr(sK0_skl(i2003_11_14_17_15_51999),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f136,f76]) ).
fof(f193,plain,
! [X0] :
( ~ sQ5_spl
| rr(sK0_skl(sK0_skl(i2003_11_14_17_15_51999)),X0)
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0) ),
inference(resolution,[status(thm)],[f190,f97]) ).
fof(f194,plain,
( ~ sQ5_spl
| rinvR(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f190,f94]) ).
fof(f195,plain,
! [X0] :
( ~ sQ5_spl
| ~ cp1(sK0_skl(sK0_skl(i2003_11_14_17_15_51999)))
| ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))),sK3_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))))
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0)
| cSatisfiable(sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f190,f83]) ).
fof(f196,plain,
! [X0] :
( ~ sQ5_spl
| ~ cp1(sK0_skl(sK0_skl(i2003_11_14_17_15_51999)))
| ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))))
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0)
| cSatisfiable(sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f190,f81]) ).
fof(f197,plain,
! [X0] :
( ~ sQ5_spl
| ~ cp1(sK0_skl(sK0_skl(i2003_11_14_17_15_51999)))
| ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))))
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0)
| cSatisfiable(sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(resolution,[status(thm)],[f190,f82]) ).
fof(f198,definition,
( sQ15_spl
<=> cSatisfiable(sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f201,definition,
! [X0] :
( sQ16_spl
<=> ( ~ cp1(X0)
| rr(sK2_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))),sK3_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))))
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f204,definition,
( sQ17_spl
<=> cp1(sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ17_spl
| ~ cp1(sK0_skl(sK0_skl(i2003_11_14_17_15_51999))) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f195,f198,f201,f204,f135]) ).
fof(f208,definition,
! [X0] :
( sQ18_spl
<=> ( ~ cp1(X0)
| rinvR(X0,sK2_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))))
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sQ18_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f196,f198,f208,f204,f135]) ).
fof(f212,definition,
! [X0] :
( sQ19_spl
<=> ( ~ cp1(X0)
| cp1(sK2_skl(X0,sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),sK0_skl(sK0_skl(i2003_11_14_17_15_51999))))
| ~ rr(sK1_skl(sK0_skl(i2003_11_14_17_15_51999)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sQ19_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f197,f198,f212,f204,f135]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ14_spl
| ~ sQ17_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS037+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
% 0.09/10.38 % Computer : n012.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sun Sep 20 22:51:32 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.14/10.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/10.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/10.41 % Elapsed time: 0.031866 seconds
% 0.14/10.41 % CPU time: 0.052740 seconds
% 0.14/10.41 % Total memory used: 2.894 MB
% 0.14/10.41 % Net memory used: 2.770 MB
%------------------------------------------------------------------------------