%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS135+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 : n019.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS135+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
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:54:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [X] :( cowlThing(X)=> (! [Y] :( rprop(X,Y)=> cA(Y) ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,conjecture,(
% 0.13/0.39 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( rprop(X,Y)=> cA(Y) ) )) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( rprop(X,Y)=> cA(Y) ) )) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0]: (cowlThing(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0]: (~cowlNothing(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![X]: (~cowlThing(X)|(![Y]: (~rprop(X,Y)|cA(Y))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1]: (~cowlThing(X0)|~rprop(X0,X1)|cA(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X,Y]: (rprop(X,Y)&~cA(Y))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f16,definition,(
% 0.13/0.39 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: (rprop(X,Y)&~cA(Y)))),
% 0.13/0.39 inference(formula_renaming,[status(thm)],[f15,f16])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[Y]: ((?[X]: rprop(X,Y))&~cA(Y)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|sP0_prd(sK2_skl))|(rprop(sK4_skl,sK3_skl)&~cA(sK3_skl))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(X,sK4_skl)],[f18])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|rprop(sK4_skl,sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|~cA(sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![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)))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 (![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)))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f28,definition,(
% 0.13/0.39 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f28])).
% 0.13/0.39 fof(f31,definition,(
% 0.13/0.39 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.39 fof(f34,definition,(
% 0.13/0.39 sQ2_spl <=> (sP0_prd(sK2_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 sP0_prd(sK2_skl)|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f34])).
% 0.13/0.39 fof(f37,definition,(
% 0.13/0.39 sQ3_spl <=> (rprop(sK4_skl,sK3_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 rprop(sK4_skl,sK3_skl)|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f37])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f20,f28,f31,f34,f37])).
% 0.13/0.39 fof(f41,definition,(
% 0.13/0.39 sQ4_spl <=> (cA(sK3_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ~cA(sK3_skl)|sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f41])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f21,f28,f31,f34,f41])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 ![X0,X1]: (~rprop(X0,X1)|cA(X1))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f14,f7])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f24,f11])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(X0))),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f46,f48])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f12])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 $false|~sQ2_spl),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f35,f47])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 ~sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f49])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 $false|~sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f32,f8])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 ~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f51])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 $false|sQ0_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f7])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f53])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 cA(sK3_skl)|~sQ3_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f45,f38])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 $false|sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f56,f43])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f57])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f40,f44,f50,f52,f54,f58])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.044787 seconds
% 0.13/0.42 % CPU time: 0.116402 seconds
% 0.13/0.42 % Total memory used: 16.730 MB
% 0.13/0.42 % Net memory used: 16.242 MB
%------------------------------------------------------------------------------