%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS020+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 : n009.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 01:00:06 PM UTC 2026
% Result : Satisfiable 0.12s 0.37s
% 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] :
( cA(X)
<=> ? [Y] :
( cowlThing(Y)
& rq(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cAorB(X)
<=> ? [Y] :
( cowlThing(Y)
& rs(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cB(X)
<=> ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cnotA(X)
<=> ! [Y] :
( rq(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( cnotAorB(X)
<=> ! [Y] :
( rs(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( cnotAorB(X)
<=> ( cnotA(X)
& cnotB(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( cnotB(X)
<=> ! [Y] :
( rr(X,Y)
=> cNothing(Y) ) ),
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] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ( ? [Y] :
( cowlThing(Y)
& rq(X,Y) )
| ~ cA(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& rq(X,Y) )
| ~ cA(X) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f21,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ! [X] :
( ( cowlThing(sK0_skl(X))
& rq(X,sK0_skl(X)) )
| ~ cA(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f20]) ).
fof(f22,plain,
! [X0] :
( rq(X0,sK0_skl(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f25,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ cAorB(X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ cAorB(X) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f27,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ! [X] :
( ( cowlThing(sK1_skl(X))
& rs(X,sK1_skl(X)) )
| ~ cAorB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f26]) ).
fof(f28,plain,
! [X0] :
( rs(X0,sK1_skl(X0))
| ~ cAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1)
| cAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ cB(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f32,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ! [X] :
( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ cB(X) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f33,plain,
( ! [X] :
( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ! [X] :
( ( cowlThing(sK2_skl(X))
& rr(X,sK2_skl(X)) )
| ~ cB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f32]) ).
fof(f34,plain,
! [X0] :
( rr(X0,sK2_skl(X0))
| ~ cB(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f36,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1)
| cB(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f37,plain,
! [X] :
( ! [Y] : ~ rp(X,Y)
| ~ cNothing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [X] :
( ? [Y0] : rp(X,Y0)
| ~ cNothing(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
! [X] :
( rp(X,sK3_skl(X))
| ~ cNothing(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f39]) ).
fof(f41,plain,
! [X0] :
( rp(X0,sK3_skl(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X] :
( cnotA(X)
<=> ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rq(X,Y) )
| cnotA(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
( ! [X] :
( ? [Y] :
( ~ cNothing(Y)
& rq(X,Y) )
| cnotA(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f45,plain,
( ! [X] :
( ( ~ cNothing(sK4_skl(X))
& rq(X,sK4_skl(X)) )
| cnotA(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( cNothing(X1)
| ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0] :
( rq(X0,sK4_skl(X0))
| cnotA(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f49,plain,
! [X] :
( cnotAorB(X)
<=> ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rs(X,Y) )
| cnotAorB(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(NNF_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
( ! [X] :
( ? [Y] :
( ~ cNothing(Y)
& rs(X,Y) )
| cnotAorB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
( ! [X] :
( ( ~ cNothing(sK5_skl(X))
& rs(X,sK5_skl(X)) )
| cnotAorB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( cNothing(X1)
| ~ rs(X0,X1)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0] :
( rs(X0,sK5_skl(X0))
| cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
! [X] :
( ( ~ cnotA(X)
| ~ cnotB(X)
| cnotAorB(X) )
& ( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f57,plain,
( ! [X] :
( ~ cnotA(X)
| ~ cnotB(X)
| cnotAorB(X) )
& ! [X] :
( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0] :
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0] :
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f60,plain,
! [X0] :
( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f61,plain,
! [X] :
( cnotB(X)
<=> ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f62,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rr(X,Y) )
| cnotB(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(NNF_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
( ! [X] :
( ? [Y] :
( ~ cNothing(Y)
& rr(X,Y) )
| cnotB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f64,plain,
( ! [X] :
( ( ~ cNothing(sK6_skl(X))
& rr(X,sK6_skl(X)) )
| cnotB(X) )
& ! [X] :
( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( cNothing(X1)
| ~ rr(X0,X1)
| ~ cnotB(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0] :
( rr(X0,sK6_skl(X0))
| cnotB(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f69,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cA(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f13]) ).
fof(f70,plain,
! [X0] :
( cnotA(X0)
| cA(X0) ),
inference(resolution,[status(thm)],[f69,f47]) ).
fof(f71,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| cAorB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f13]) ).
fof(f72,plain,
! [X0] :
( cnotAorB(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[f71,f54]) ).
fof(f73,plain,
! [X0] :
( cnotA(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[f72,f59]) ).
fof(f74,plain,
! [X0] :
( cnotB(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[f72,f58]) ).
fof(f75,plain,
! [X0] : ~ cNothing(X0),
inference(forward_subsumption_resolution,[status(thm)],[f41,f38]) ).
fof(f76,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| cB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f13]) ).
fof(f77,plain,
! [X0] :
( cnotB(X0)
| cB(X0) ),
inference(resolution,[status(thm)],[f76,f66]) ).
fof(f78,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f46,f75]) ).
fof(f80,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| ~ cnotAorB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f75]) ).
fof(f82,plain,
! [X0] :
( cB(X0)
| ~ cnotA(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[f60,f77]) ).
fof(f84,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ cnotB(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f75]) ).
fof(f87,plain,
! [X0] :
( cA(X0)
| cB(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[f82,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS020+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n009.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:50:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.35 % Drodi V4.1.1
% 0.12/0.37 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.030693 seconds
% 0.12/0.38 % CPU time: 0.079122 seconds
% 0.12/0.38 % Total memory used: 1.775 MB
% 0.12/0.38 % Net memory used: 1.726 MB
%------------------------------------------------------------------------------