%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS130+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 : 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 01:00:18 PM UTC 2026
% Result : Theorem 0.09s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS130+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
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:57:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36 fof(f1,axiom,(
% 0.09/0.36 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f2,axiom,(
% 0.09/0.36 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f3,axiom,(
% 0.09/0.36 (! [X] :( cNothing(X)=> ~ (? [Y] : rp(X,Y) )) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f4,axiom,(
% 0.09/0.36 (! [X] :( cNothing(X)=> (? [Y0] : rp(X,Y0) )) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f5,conjecture,(
% 0.09/0.36 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cNothing(X)<=> cowlNothing(X) ) )) ),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f6,negated_conjecture,(
% 0.09/0.36 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cNothing(X)<=> cowlNothing(X) ) )) )),
% 0.09/0.36 inference(negated_conjecture,[status(cth)],[f5])).
% 0.09/0.36 fof(f7,plain,(
% 0.09/0.36 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.36 fof(f8,plain,(
% 0.09/0.36 ![X0]: (cowlThing(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.36 fof(f9,plain,(
% 0.09/0.36 ![X0]: (~cowlNothing(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.36 fof(f10,plain,(
% 0.09/0.36 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.09/0.36 inference(NNF_transformation,[status(thm)],[f2])).
% 0.09/0.36 fof(f11,plain,(
% 0.09/0.36 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f10])).
% 0.09/0.36 fof(f12,plain,(
% 0.09/0.36 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.36 fof(f13,plain,(
% 0.09/0.36 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.36 fof(f14,plain,(
% 0.09/0.36 ![X]: (~cNothing(X)|(![Y]: ~rp(X,Y)))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.36 fof(f15,plain,(
% 0.09/0.36 ![X0,X1]: (~cNothing(X0)|~rp(X0,X1))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.36 fof(f16,plain,(
% 0.09/0.36 ![X]: (~cNothing(X)|(?[Y0]: rp(X,Y0)))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.36 fof(f17,plain,(
% 0.09/0.36 ![X]: (~cNothing(X)|rp(X,sK0_skl(X)))),
% 0.09/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y0,sK0_skl(X))],[f16])).
% 0.09/0.36 fof(f18,plain,(
% 0.09/0.36 ![X0]: (~cNothing(X0)|rp(X0,sK0_skl(X0)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.36 fof(f19,plain,(
% 0.09/0.36 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cNothing(X)<~>cowlNothing(X))))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.36 fof(f20,definition,(
% 0.09/0.36 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.36 fof(f21,plain,(
% 0.09/0.36 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (cNothing(X)<~>cowlNothing(X)))),
% 0.09/0.36 inference(formula_renaming,[status(thm)],[f19,f20])).
% 0.09/0.36 fof(f22,plain,(
% 0.09/0.36 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cNothing(X)|cowlNothing(X))&(~cNothing(X)|~cowlNothing(X))))),
% 0.09/0.36 inference(NNF_transformation,[status(thm)],[f21])).
% 0.09/0.36 fof(f23,plain,(
% 0.09/0.36 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cNothing(X)|cowlNothing(X))&(~cNothing(X)|~cowlNothing(X))))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f22])).
% 0.09/0.36 fof(f24,plain,(
% 0.09/0.36 ((~cowlThing(sK1_skl)|cowlNothing(sK2_skl))|sP0_prd(sK3_skl))|((cNothing(sK4_skl)|cowlNothing(sK4_skl))&(~cNothing(sK4_skl)|~cowlNothing(sK4_skl)))),
% 0.09/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(X,sK4_skl)],[f23])).
% 0.09/0.36 fof(f25,plain,(
% 0.09/0.36 ~cowlThing(sK1_skl)|cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|cNothing(sK4_skl)|cowlNothing(sK4_skl)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.36 fof(f27,plain,(
% 0.09/0.36 ![X]: ((~sP0_prd(X)|((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X))))&(sP0_prd(X)|((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))))),
% 0.09/0.36 inference(NNF_transformation,[status(thm)],[f20])).
% 0.09/0.36 fof(f28,plain,(
% 0.09/0.36 (![X]: (~sP0_prd(X)|((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))&(![X]: (sP0_prd(X)|((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f27])).
% 0.09/0.36 fof(f29,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.36 fof(f30,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.36 fof(f33,definition,(
% 0.09/0.36 sQ0_spl <=> (cowlThing(sK1_skl))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.36 fof(f35,plain,(
% 0.09/0.36 ~cowlThing(sK1_skl)|sQ0_spl),
% 0.09/0.36 inference(component_clause,[status(thm)],[f33])).
% 0.09/0.36 fof(f36,definition,(
% 0.09/0.36 sQ1_spl <=> (cowlNothing(sK2_skl))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.36 fof(f37,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|~sQ1_spl),
% 0.09/0.36 inference(component_clause,[status(thm)],[f36])).
% 0.09/0.36 fof(f39,definition,(
% 0.09/0.36 sQ2_spl <=> (sP0_prd(sK3_skl))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.36 fof(f40,plain,(
% 0.09/0.36 sP0_prd(sK3_skl)|~sQ2_spl),
% 0.09/0.36 inference(component_clause,[status(thm)],[f39])).
% 0.09/0.36 fof(f42,definition,(
% 0.09/0.36 sQ3_spl <=> (cNothing(sK4_skl))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.36 fof(f43,plain,(
% 0.09/0.36 cNothing(sK4_skl)|~sQ3_spl),
% 0.09/0.36 inference(component_clause,[status(thm)],[f42])).
% 0.09/0.36 fof(f45,definition,(
% 0.09/0.36 sQ4_spl <=> (cowlNothing(sK4_skl))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.36 fof(f46,plain,(
% 0.09/0.36 cowlNothing(sK4_skl)|~sQ4_spl),
% 0.09/0.36 inference(component_clause,[status(thm)],[f45])).
% 0.09/0.36 fof(f48,plain,(
% 0.09/0.36 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.09/0.36 inference(split_clause,[status(thm)],[f25,f33,f36,f39,f42,f45])).
% 0.09/0.36 fof(f50,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f29,f12])).
% 0.09/0.36 fof(f51,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|~xsd_string(X0))),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f30,f12])).
% 0.09/0.36 fof(f53,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|xsd_string(X0))),
% 0.09/0.36 inference(resolution,[status(thm)],[f50,f13])).
% 0.09/0.36 fof(f54,plain,(
% 0.09/0.36 $false|~sQ2_spl),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f40,f55])).
% 0.09/0.36 fof(f55,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0))),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f53,f51])).
% 0.09/0.36 fof(f56,plain,(
% 0.09/0.36 ~sQ2_spl),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f54])).
% 0.09/0.36 fof(f57,plain,(
% 0.09/0.36 $false|~sQ1_spl),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f37,f9])).
% 0.09/0.36 fof(f58,plain,(
% 0.09/0.36 ~sQ1_spl),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f57])).
% 0.09/0.36 fof(f59,plain,(
% 0.09/0.36 $false|sQ0_spl),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f35,f8])).
% 0.09/0.36 fof(f60,plain,(
% 0.09/0.36 sQ0_spl),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f59])).
% 0.09/0.36 fof(f61,plain,(
% 0.09/0.36 $false|~sQ3_spl),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f43,f62])).
% 0.09/0.36 fof(f62,plain,(
% 0.09/0.36 ![X0]: (~cNothing(X0))),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f18,f15])).
% 0.09/0.36 fof(f63,plain,(
% 0.09/0.36 ~sQ3_spl),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f61])).
% 0.09/0.36 fof(f64,plain,(
% 0.09/0.36 $false|~sQ4_spl),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f46,f9])).
% 0.09/0.36 fof(f65,plain,(
% 0.09/0.36 ~sQ4_spl),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f64])).
% 0.09/0.36 fof(f66,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(sat_refutation,[status(thm)],[f48,f56,f58,f60,f63,f65])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.042007 seconds
% 0.12/0.40 % CPU time: 0.033746 seconds
% 0.12/0.40 % Total memory used: 1.050 MB
% 0.12/0.40 % Net memory used: 1.027 MB
%------------------------------------------------------------------------------