%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS050+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 : n002.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 0.22s 0.66s
% Output : Saturation 0.22s
% 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] :
( ca_Vx5(Y)
& rr(X,Y) )
& ? [Y] :
( ca_Vx4(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ca_Vx2(X)
<=> ! [Y] :
( rr1(X,Y)
=> cp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ca_Vx3(X)
<=> ! [Y] :
( rr1(X,Y)
=> cpxcomp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ca_Vx4(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx2(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx3(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
cSatisfiable(i2003_11_14_17_16_39209),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X] :
( ( ! [Y] :
( ~ ca_Vx5(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ ca_Vx4(Y)
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ( ( ? [Y] :
( ca_Vx5(Y)
& rr(X,Y) )
& ? [Y] :
( ca_Vx4(Y)
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
( ! [X] :
( ! [Y] :
( ~ ca_Vx5(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ ca_Vx4(Y)
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( ca_Vx5(Y)
& rr(X,Y) )
& ? [Y] :
( ca_Vx4(Y)
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f21,plain,
( ! [X] :
( ! [Y] :
( ~ ca_Vx5(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ ca_Vx4(Y)
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ca_Vx5(sK1_skl(X))
& rr(X,sK1_skl(X))
& ca_Vx4(sK0_skl(X))
& rr(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))],[f20]) ).
fof(f22,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0] :
( ca_Vx4(sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
! [X0] :
( rr(X0,sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f25,plain,
! [X0] :
( ca_Vx5(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ ca_Vx5(X2)
| ~ rr(X0,X2)
| ~ ca_Vx4(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f27,plain,
! [X] :
( cp(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [X] :
( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f30,plain,
( ! [X] :
( ra_Px1(X,sK2_skl(X))
| cp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0] :
( ra_Px1(X0,sK2_skl(X0))
| cp(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ! [X] :
( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ! [X] :
( ra_Px1(X,sK3_skl(X))
| ~ cpxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f34]) ).
fof(f36,plain,
! [X0] :
( ra_Px1(X0,sK3_skl(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| cpxcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X] :
( ca_Vx2(X)
<=> ! [Y] :
( cp(Y)
| ~ rr1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
! [X] :
( ( ? [Y] :
( ~ cp(Y)
& rr1(X,Y) )
| ca_Vx2(X) )
& ( ! [Y] :
( cp(Y)
| ~ rr1(X,Y) )
| ~ ca_Vx2(X) ) ),
inference(NNF_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
( ! [X] :
( ? [Y] :
( ~ cp(Y)
& rr1(X,Y) )
| ca_Vx2(X) )
& ! [X] :
( ! [Y] :
( cp(Y)
| ~ rr1(X,Y) )
| ~ ca_Vx2(X) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f41,plain,
( ! [X] :
( ( ~ cp(sK4_skl(X))
& rr1(X,sK4_skl(X)) )
| ca_Vx2(X) )
& ! [X] :
( ! [Y] :
( cp(Y)
| ~ rr1(X,Y) )
| ~ ca_Vx2(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( cp(X1)
| ~ rr1(X0,X1)
| ~ ca_Vx2(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0] :
( rr1(X0,sK4_skl(X0))
| ca_Vx2(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f44,plain,
! [X0] :
( ~ cp(sK4_skl(X0))
| ca_Vx2(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X] :
( ca_Vx3(X)
<=> ! [Y] :
( cpxcomp(Y)
| ~ rr1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f46,plain,
! [X] :
( ( ? [Y] :
( ~ cpxcomp(Y)
& rr1(X,Y) )
| ca_Vx3(X) )
& ( ! [Y] :
( cpxcomp(Y)
| ~ rr1(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
( ! [X] :
( ? [Y] :
( ~ cpxcomp(Y)
& rr1(X,Y) )
| ca_Vx3(X) )
& ! [X] :
( ! [Y] :
( cpxcomp(Y)
| ~ rr1(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f48,plain,
( ! [X] :
( ( ~ cpxcomp(sK5_skl(X))
& rr1(X,sK5_skl(X)) )
| ca_Vx3(X) )
& ! [X] :
( ! [Y] :
( cpxcomp(Y)
| ~ rr1(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( cpxcomp(X1)
| ~ rr1(X0,X1)
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0] :
( rr1(X0,sK5_skl(X0))
| ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f51,plain,
! [X0] :
( ~ cpxcomp(sK5_skl(X0))
| ca_Vx3(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [X] :
( ca_Vx4(X)
<=> ! [Y] :
( ca_Vx2(Y)
| ~ rinvR(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
! [X] :
( ( ? [Y] :
( ~ ca_Vx2(Y)
& rinvR(X,Y) )
| ca_Vx4(X) )
& ( ! [Y] :
( ca_Vx2(Y)
| ~ rinvR(X,Y) )
| ~ ca_Vx4(X) ) ),
inference(NNF_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
( ! [X] :
( ? [Y] :
( ~ ca_Vx2(Y)
& rinvR(X,Y) )
| ca_Vx4(X) )
& ! [X] :
( ! [Y] :
( ca_Vx2(Y)
| ~ rinvR(X,Y) )
| ~ ca_Vx4(X) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f55,plain,
( ! [X] :
( ( ~ ca_Vx2(sK6_skl(X))
& rinvR(X,sK6_skl(X)) )
| ca_Vx4(X) )
& ! [X] :
( ! [Y] :
( ca_Vx2(Y)
| ~ rinvR(X,Y) )
| ~ ca_Vx4(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ca_Vx2(X1)
| ~ rinvR(X0,X1)
| ~ ca_Vx4(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [X0] :
( rinvR(X0,sK6_skl(X0))
| ca_Vx4(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
! [X0] :
( ~ ca_Vx2(sK6_skl(X0))
| ca_Vx4(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f59,plain,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f60,plain,
! [X] :
( ( ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ca_Vx5(X) )
& ( ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
| ~ ca_Vx5(X) ) ),
inference(NNF_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
( ! [X] :
( ? [Y] :
( ~ ca_Vx3(Y)
& rinvR(X,Y) )
| ca_Vx5(X) )
& ! [X] :
( ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
| ~ ca_Vx5(X) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f62,plain,
( ! [X] :
( ( ~ ca_Vx3(sK7_skl(X))
& rinvR(X,sK7_skl(X)) )
| ca_Vx5(X) )
& ! [X] :
( ! [Y] :
( ca_Vx3(Y)
| ~ rinvR(X,Y) )
| ~ ca_Vx5(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Y,sK7_skl(X))],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ca_Vx3(X1)
| ~ rinvR(X0,X1)
| ~ ca_Vx5(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0] :
( rinvR(X0,sK7_skl(X0))
| ca_Vx5(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f65,plain,
! [X0] :
( ~ ca_Vx3(sK7_skl(X0))
| ca_Vx5(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f66,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f67,plain,
( ! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) )
& ! [X,Y] :
( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f70,plain,
cSatisfiable(i2003_11_14_17_16_39209),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
rr(i2003_11_14_17_16_39209,sK0_skl(i2003_11_14_17_16_39209)),
inference(resolution,[status(thm)],[f22,f70]) ).
fof(f74,plain,
ca_Vx4(sK0_skl(i2003_11_14_17_16_39209)),
inference(resolution,[status(thm)],[f23,f70]) ).
fof(f75,plain,
rr(i2003_11_14_17_16_39209,sK1_skl(i2003_11_14_17_16_39209)),
inference(resolution,[status(thm)],[f24,f70]) ).
fof(f76,plain,
ca_Vx5(sK1_skl(i2003_11_14_17_16_39209)),
inference(resolution,[status(thm)],[f25,f70]) ).
fof(f77,plain,
! [X0] :
( cp(X0)
| cpxcomp(X0) ),
inference(resolution,[status(thm)],[f37,f32]) ).
fof(f78,plain,
! [X0] :
( cp(sK5_skl(X0))
| ca_Vx3(X0) ),
inference(resolution,[status(thm)],[f51,f77]) ).
fof(f79,plain,
! [X0] :
( ca_Vx5(X0)
| rr(sK7_skl(X0),X0) ),
inference(resolution,[status(thm)],[f68,f64]) ).
fof(f80,plain,
! [X0] :
( ca_Vx4(X0)
| rr(sK6_skl(X0),X0) ),
inference(resolution,[status(thm)],[f68,f57]) ).
fof(f82,plain,
! [X0,X1] :
( ~ ca_Vx5(X0)
| ~ ca_Vx4(X1)
| ~ rr(sK6_skl(X0),X1)
| cSatisfiable(sK6_skl(X0))
| ca_Vx4(X0) ),
inference(resolution,[status(thm)],[f80,f26]) ).
fof(f84,plain,
! [X0] :
( cp(X0)
| ra_Px1(X0,sK3_skl(X0)) ),
inference(resolution,[status(thm)],[f36,f77]) ).
fof(f87,plain,
rinvR(sK0_skl(i2003_11_14_17_16_39209),i2003_11_14_17_16_39209),
inference(resolution,[status(thm)],[f73,f69]) ).
fof(f88,plain,
! [X0] :
( ~ ca_Vx5(sK0_skl(i2003_11_14_17_16_39209))
| ~ ca_Vx4(X0)
| ~ rr(i2003_11_14_17_16_39209,X0)
| cSatisfiable(i2003_11_14_17_16_39209) ),
inference(resolution,[status(thm)],[f73,f26]) ).
fof(f89,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_16_39209) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f92,definition,
! [X0] :
( sQ1_spl
<=> ( ~ ca_Vx4(X0)
| ~ rr(i2003_11_14_17_16_39209,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f93,plain,
! [X0] :
( ~ sQ1_spl
| ~ ca_Vx4(X0)
| ~ rr(i2003_11_14_17_16_39209,X0) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ2_spl
<=> ca_Vx5(sK0_skl(i2003_11_14_17_16_39209)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ2_spl
| ~ ca_Vx5(sK0_skl(i2003_11_14_17_16_39209)) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f89,f92,f95]) ).
fof(f103,plain,
rinvR(sK1_skl(i2003_11_14_17_16_39209),i2003_11_14_17_16_39209),
inference(resolution,[status(thm)],[f75,f69]) ).
fof(f104,plain,
! [X0] :
( ~ ca_Vx5(sK1_skl(i2003_11_14_17_16_39209))
| ~ ca_Vx4(X0)
| ~ rr(i2003_11_14_17_16_39209,X0)
| cSatisfiable(i2003_11_14_17_16_39209) ),
inference(resolution,[status(thm)],[f75,f26]) ).
fof(f105,definition,
( sQ3_spl
<=> ca_Vx5(sK1_skl(i2003_11_14_17_16_39209)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( sQ3_spl
| ~ ca_Vx5(sK1_skl(i2003_11_14_17_16_39209)) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( ~ sQ3_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f89,f92,f105]) ).
fof(f111,plain,
( ~ sQ1_spl
| ~ ca_Vx4(sK1_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f93,f75]) ).
fof(f112,plain,
( ~ sQ1_spl
| ~ ca_Vx4(sK0_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f93,f73]) ).
fof(f113,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f74]) ).
fof(f114,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f116,plain,
! [X0] :
( ca_Vx2(X0)
| cpxcomp(sK4_skl(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[status(thm)],[f49,f43]) ).
fof(f117,plain,
( ca_Vx2(i2003_11_14_17_16_39209)
| ~ ca_Vx4(sK1_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f56,f103]) ).
fof(f118,plain,
( ca_Vx2(i2003_11_14_17_16_39209)
| ~ ca_Vx4(sK0_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f56,f87]) ).
fof(f119,plain,
! [X0] :
( ca_Vx5(X0)
| ca_Vx2(sK7_skl(X0))
| ~ ca_Vx4(X0) ),
inference(resolution,[status(thm)],[f56,f64]) ).
fof(f121,definition,
( sQ4_spl
<=> ca_Vx4(sK1_skl(i2003_11_14_17_16_39209)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f124,definition,
( sQ5_spl
<=> ca_Vx2(i2003_11_14_17_16_39209) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ5_spl
| ca_Vx2(i2003_11_14_17_16_39209) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f117,f121,f124]) ).
fof(f128,definition,
( sQ6_spl
<=> ca_Vx4(sK0_skl(i2003_11_14_17_16_39209)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( sQ5_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f118,f128,f124]) ).
fof(f132,plain,
( ca_Vx5(sK0_skl(i2003_11_14_17_16_39209))
| ca_Vx2(sK7_skl(sK0_skl(i2003_11_14_17_16_39209))) ),
inference(resolution,[status(thm)],[f119,f74]) ).
fof(f133,definition,
( sQ7_spl
<=> ca_Vx2(sK7_skl(sK0_skl(i2003_11_14_17_16_39209))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ7_spl
| ca_Vx2(sK7_skl(sK0_skl(i2003_11_14_17_16_39209))) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f132,f133,f95]) ).
fof(f137,plain,
( ca_Vx3(i2003_11_14_17_16_39209)
| ~ ca_Vx5(sK1_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f63,f103]) ).
fof(f138,plain,
( ca_Vx3(i2003_11_14_17_16_39209)
| ~ ca_Vx5(sK0_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f63,f87]) ).
fof(f140,plain,
! [X0] :
( ca_Vx4(X0)
| ca_Vx3(sK6_skl(X0))
| ~ ca_Vx5(X0) ),
inference(resolution,[status(thm)],[f63,f57]) ).
fof(f141,definition,
( sQ8_spl
<=> ca_Vx3(i2003_11_14_17_16_39209) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ8_spl
| ca_Vx3(i2003_11_14_17_16_39209) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ8_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f137,f105,f141]) ).
fof(f145,plain,
( sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f138,f95,f141]) ).
fof(f146,plain,
( ca_Vx4(sK1_skl(i2003_11_14_17_16_39209))
| ca_Vx3(sK6_skl(sK1_skl(i2003_11_14_17_16_39209))) ),
inference(resolution,[status(thm)],[f140,f76]) ).
fof(f147,definition,
( sQ9_spl
<=> ca_Vx3(sK6_skl(sK1_skl(i2003_11_14_17_16_39209))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ9_spl
| ca_Vx3(sK6_skl(sK1_skl(i2003_11_14_17_16_39209))) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f146,f147,f121]) ).
fof(f151,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f76]) ).
fof(f152,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( ~ sQ8_spl
| ca_Vx2(i2003_11_14_17_16_39209)
| cpxcomp(sK4_skl(i2003_11_14_17_16_39209)) ),
inference(resolution,[status(thm)],[f142,f116]) ).
fof(f154,definition,
( sQ10_spl
<=> cpxcomp(sK4_skl(i2003_11_14_17_16_39209)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ8_spl
| sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f153,f154,f124,f141]) ).
fof(f158,plain,
( ~ sQ9_spl
| ca_Vx2(sK6_skl(sK1_skl(i2003_11_14_17_16_39209)))
| cpxcomp(sK4_skl(sK6_skl(sK1_skl(i2003_11_14_17_16_39209)))) ),
inference(resolution,[status(thm)],[f148,f116]) ).
fof(f159,definition,
( sQ11_spl
<=> cpxcomp(sK4_skl(sK6_skl(sK1_skl(i2003_11_14_17_16_39209)))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ11_spl
| cpxcomp(sK4_skl(sK6_skl(sK1_skl(i2003_11_14_17_16_39209)))) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ12_spl
<=> ca_Vx2(sK6_skl(sK1_skl(i2003_11_14_17_16_39209))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ9_spl
| sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f158,f159,f162,f147]) ).
fof(f166,plain,
( ~ sQ11_spl
| ra_Px1(sK4_skl(sK6_skl(sK1_skl(i2003_11_14_17_16_39209))),sK3_skl(sK4_skl(sK6_skl(sK1_skl(i2003_11_14_17_16_39209))))) ),
inference(resolution,[status(thm)],[f160,f36]) ).
fof(f168,plain,
( ~ sQ11_spl
| ~ cp(sK4_skl(sK6_skl(sK1_skl(i2003_11_14_17_16_39209)))) ),
inference(resolution,[status(thm)],[f166,f31]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ3_spl
| sQ5_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ11_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS050+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.65 % Computer : n002.cluster.edu
% 0.18/0.65 % Model : x86_64 x86_64
% 0.18/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.65 % Memory : 8046.5625MB
% 0.18/0.65 % OS : Linux 6.8.0-71-generic
% 0.18/0.65 % CPULimit : 300
% 0.18/0.65 % WCLimit : 300
% 0.18/0.65 % DateTime : Sun Sep 20 22:54:33 UTC 2026
% 0.18/0.65 % CPUTime :
% 0.22/0.66 % Drodi V4.1.1
% 0.22/0.66 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.22/0.66 % SZS output start Saturation for theBenchmark
% See solution above
% 0.22/0.69 % Elapsed time: 0.030737 seconds
% 0.22/0.69 % CPU time: 0.047066 seconds
% 0.22/0.69 % Total memory used: 1.084 MB
% 0.22/0.69 % Net memory used: 1.064 MB
%------------------------------------------------------------------------------