%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS139+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 : n015.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 01:00:19 PM UTC 2026
% Result : Theorem 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS139+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
% 0.10/5.38 % Computer : n015.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 20 22:57:26 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f1,axiom,(
% 0.14/5.41 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f2,axiom,(
% 0.14/5.41 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f3,axiom,(
% 0.14/5.41 (! [X,Y] :( rpath(X,Y)=> rpath(Y,X) ) )),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f6,axiom,(
% 0.14/5.41 rpath(iGhent,iAntwerp) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f7,conjecture,(
% 0.14/5.41 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cowlThing(iAntwerp)& rpath(iAntwerp,iGhent)& cowlThing(iGhent) ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f8,negated_conjecture,(
% 0.14/5.41 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cowlThing(iAntwerp)& rpath(iAntwerp,iGhent)& cowlThing(iGhent) ) )),
% 0.14/5.41 inference(negated_conjecture,[status(cth)],[f7])).
% 0.14/5.41 fof(f9,plain,(
% 0.14/5.41 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f1])).
% 0.14/5.41 fof(f10,plain,(
% 0.14/5.41 ![X0]: (cowlThing(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/5.41 fof(f11,plain,(
% 0.14/5.41 ![X0]: (~cowlNothing(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/5.41 fof(f12,plain,(
% 0.14/5.41 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.14/5.41 inference(NNF_transformation,[status(thm)],[f2])).
% 0.14/5.41 fof(f13,plain,(
% 0.14/5.41 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f12])).
% 0.14/5.41 fof(f14,plain,(
% 0.14/5.41 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/5.41 fof(f15,plain,(
% 0.14/5.41 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/5.41 fof(f16,plain,(
% 0.14/5.41 ![X,Y]: (~rpath(X,Y)|rpath(Y,X))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/5.41 fof(f17,plain,(
% 0.14/5.41 ![X0,X1]: (~rpath(X0,X1)|rpath(X1,X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.41 fof(f20,plain,(
% 0.14/5.41 rpath(iGhent,iAntwerp)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.41 fof(f21,plain,(
% 0.14/5.41 (((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|~cowlThing(iAntwerp))|~rpath(iAntwerp,iGhent))|~cowlThing(iGhent))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/5.41 fof(f22,plain,(
% 0.14/5.41 ((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cowlThing(iAntwerp))|~rpath(iAntwerp,iGhent))|~cowlThing(iGhent)),
% 0.14/5.41 inference(NNF_transformation,[status(thm)],[f21])).
% 0.14/5.41 fof(f23,plain,(
% 0.14/5.41 (((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cowlThing(iAntwerp))|~rpath(iAntwerp,iGhent))|~cowlThing(iGhent)),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f22])).
% 0.14/5.41 fof(f24,plain,(
% 0.14/5.41 ((((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|((xsd_string(sK2_skl)|~xsd_integer(sK2_skl))&(~xsd_string(sK2_skl)|xsd_integer(sK2_skl))))|~cowlThing(iAntwerp))|~rpath(iAntwerp,iGhent))|~cowlThing(iGhent)),
% 0.14/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl)],[f23])).
% 0.14/5.41 fof(f25,plain,(
% 0.14/5.41 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|xsd_string(sK2_skl)|~xsd_integer(sK2_skl)|~cowlThing(iAntwerp)|~rpath(iAntwerp,iGhent)|~cowlThing(iGhent)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/5.41 fof(f26,plain,(
% 0.14/5.41 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|~xsd_string(sK2_skl)|xsd_integer(sK2_skl)|~cowlThing(iAntwerp)|~rpath(iAntwerp,iGhent)|~cowlThing(iGhent)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/5.41 fof(f27,definition,(
% 0.14/5.41 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f29,plain,(
% 0.14/5.41 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f27])).
% 0.14/5.41 fof(f30,definition,(
% 0.14/5.41 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f31,plain,(
% 0.14/5.41 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f30])).
% 0.14/5.41 fof(f33,definition,(
% 0.14/5.41 sQ2_spl <=> (xsd_string(sK2_skl))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f34,plain,(
% 0.14/5.41 xsd_string(sK2_skl)|~sQ2_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f33])).
% 0.14/5.41 fof(f35,plain,(
% 0.14/5.41 ~xsd_string(sK2_skl)|sQ2_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f33])).
% 0.14/5.41 fof(f36,definition,(
% 0.14/5.41 sQ3_spl <=> (xsd_integer(sK2_skl))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f37,plain,(
% 0.14/5.41 xsd_integer(sK2_skl)|~sQ3_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f36])).
% 0.14/5.41 fof(f39,definition,(
% 0.14/5.41 sQ4_spl <=> (cowlThing(iAntwerp))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f41,plain,(
% 0.14/5.41 ~cowlThing(iAntwerp)|sQ4_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f39])).
% 0.14/5.41 fof(f42,definition,(
% 0.14/5.41 sQ5_spl <=> (rpath(iAntwerp,iGhent))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f44,plain,(
% 0.14/5.41 ~rpath(iAntwerp,iGhent)|sQ5_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f42])).
% 0.14/5.41 fof(f45,definition,(
% 0.14/5.41 sQ6_spl <=> (cowlThing(iGhent))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f47,plain,(
% 0.14/5.41 ~cowlThing(iGhent)|sQ6_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f45])).
% 0.14/5.41 fof(f48,plain,(
% 0.14/5.41 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f25,f27,f30,f33,f36,f39,f42,f45])).
% 0.14/5.41 fof(f49,plain,(
% 0.14/5.41 ~sQ0_spl|sQ1_spl|~sQ2_spl|sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f26,f27,f30,f33,f36,f39,f42,f45])).
% 0.14/5.41 fof(f50,plain,(
% 0.14/5.41 $false|sQ6_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f47,f10])).
% 0.14/5.41 fof(f51,plain,(
% 0.14/5.41 sQ6_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f50])).
% 0.14/5.41 fof(f53,plain,(
% 0.14/5.41 ~rpath(iGhent,iAntwerp)|sQ5_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f17,f44])).
% 0.14/5.41 fof(f54,plain,(
% 0.14/5.41 $false|sQ5_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f53,f20])).
% 0.14/5.41 fof(f55,plain,(
% 0.14/5.41 sQ5_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f54])).
% 0.14/5.41 fof(f56,plain,(
% 0.14/5.41 $false|sQ4_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f41,f10])).
% 0.14/5.41 fof(f57,plain,(
% 0.14/5.41 sQ4_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f56])).
% 0.14/5.41 fof(f58,plain,(
% 0.14/5.41 $false|~sQ1_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f31,f11])).
% 0.14/5.41 fof(f59,plain,(
% 0.14/5.41 ~sQ1_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f58])).
% 0.14/5.41 fof(f60,plain,(
% 0.14/5.41 $false|sQ0_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f29,f10])).
% 0.14/5.41 fof(f61,plain,(
% 0.14/5.41 sQ0_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f60])).
% 0.14/5.41 fof(f62,plain,(
% 0.14/5.41 ~xsd_integer(sK2_skl)|~sQ2_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f34,f14])).
% 0.14/5.41 fof(f63,plain,(
% 0.14/5.41 $false|~sQ3_spl|~sQ2_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f62,f37])).
% 0.14/5.41 fof(f64,plain,(
% 0.14/5.41 ~sQ3_spl|~sQ2_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f63])).
% 0.14/5.41 fof(f65,plain,(
% 0.14/5.41 xsd_integer(sK2_skl)|sQ2_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f35,f15])).
% 0.14/5.41 fof(f66,plain,(
% 0.14/5.41 sQ3_spl|sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f65,f36,f33])).
% 0.14/5.41 fof(f67,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(sat_refutation,[status(thm)],[f48,f49,f51,f55,f57,f59,f61,f64,f66])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.44 % Elapsed time: 0.040780 seconds
% 0.14/5.44 % CPU time: 0.111207 seconds
% 0.14/5.44 % Total memory used: 16.804 MB
% 0.14/5.44 % Net memory used: 16.261 MB
%------------------------------------------------------------------------------