%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS165+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 : n006.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 01:00:21 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS165+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
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 22:54:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f1,axiom,(
% 0.11/0.39 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,axiom,(
% 0.11/0.39 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f3,axiom,(
% 0.11/0.39 (! [X] :( cCar(X)<=> cAutomobile(X) ) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f4,conjecture,(
% 0.11/0.39 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cAutomobile(X)=> cCar(X) ))& (! [X] :( cCar(X)=> cAutomobile(X) ) )) ),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f5,negated_conjecture,(
% 0.11/0.39 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cAutomobile(X)=> cCar(X) ))& (! [X] :( cCar(X)=> cAutomobile(X) ) )) )),
% 0.11/0.39 inference(negated_conjecture,[status(cth)],[f4])).
% 0.11/0.39 fof(f6,plain,(
% 0.11/0.39 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.39 fof(f7,plain,(
% 0.11/0.39 ![X0]: (cowlThing(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f8,plain,(
% 0.11/0.39 ![X0]: (~cowlNothing(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f9,plain,(
% 0.11/0.39 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.11/0.39 fof(f10,plain,(
% 0.11/0.39 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.11/0.39 fof(f11,plain,(
% 0.11/0.39 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.39 fof(f12,plain,(
% 0.11/0.39 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.39 fof(f13,plain,(
% 0.11/0.39 ![X]: ((~cCar(X)|cAutomobile(X))&(cCar(X)|~cAutomobile(X)))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.39 fof(f14,plain,(
% 0.11/0.39 (![X]: (~cCar(X)|cAutomobile(X)))&(![X]: (cCar(X)|~cAutomobile(X)))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.11/0.39 fof(f15,plain,(
% 0.11/0.39 ![X0]: (~cCar(X0)|cAutomobile(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.39 fof(f16,plain,(
% 0.11/0.39 ![X0]: (cCar(X0)|~cAutomobile(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.39 fof(f17,plain,(
% 0.11/0.39 ((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cAutomobile(X)&~cCar(X))))|(?[X]: (cCar(X)&~cAutomobile(X))))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.11/0.39 fof(f18,definition,(
% 0.11/0.39 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.11/0.39 fof(f19,definition,(
% 0.11/0.39 ![X]: (sP1_prd(X)<=>(cAutomobile(X)&~cCar(X)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.11/0.39 fof(f20,plain,(
% 0.11/0.39 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: sP1_prd(X)))|(?[X]: (cCar(X)&~cAutomobile(X)))),
% 0.11/0.39 inference(formula_renaming,[status(thm)],[f17,f19,f18])).
% 0.11/0.39 fof(f21,plain,(
% 0.11/0.39 ((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: sP1_prd(X)))|(?[X]: (cCar(X)&~cAutomobile(X)))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.11/0.39 fof(f22,plain,(
% 0.11/0.39 (((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|sP0_prd(sK2_skl))|sP1_prd(sK3_skl))|(cCar(sK4_skl)&~cAutomobile(sK4_skl))),
% 0.11/0.39 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(X,sK3_skl),skolemize(X,sK4_skl)],[f21])).
% 0.11/0.39 fof(f23,plain,(
% 0.11/0.39 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK3_skl)|cCar(sK4_skl)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.39 fof(f24,plain,(
% 0.11/0.39 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK3_skl)|~cAutomobile(sK4_skl)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.39 fof(f25,plain,(
% 0.11/0.39 ![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)))))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f18])).
% 0.11/0.39 fof(f26,plain,(
% 0.11/0.39 (![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)))))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.11/0.39 fof(f27,plain,(
% 0.11/0.39 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.39 fof(f28,plain,(
% 0.11/0.39 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.39 fof(f31,plain,(
% 0.11/0.39 ![X]: ((~sP1_prd(X)|(cAutomobile(X)&~cCar(X)))&(sP1_prd(X)|(~cAutomobile(X)|cCar(X))))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f19])).
% 0.11/0.39 fof(f32,plain,(
% 0.11/0.39 (![X]: (~sP1_prd(X)|(cAutomobile(X)&~cCar(X))))&(![X]: (sP1_prd(X)|(~cAutomobile(X)|cCar(X))))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f31])).
% 0.11/0.39 fof(f33,plain,(
% 0.11/0.39 ![X0]: (~sP1_prd(X0)|cAutomobile(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.39 fof(f34,plain,(
% 0.11/0.39 ![X0]: (~sP1_prd(X0)|~cCar(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.39 fof(f36,definition,(
% 0.11/0.39 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f38,plain,(
% 0.11/0.39 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f36])).
% 0.11/0.39 fof(f39,definition,(
% 0.11/0.39 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f40,plain,(
% 0.11/0.39 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f39])).
% 0.11/0.39 fof(f42,definition,(
% 0.11/0.39 sQ2_spl <=> (sP0_prd(sK2_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f43,plain,(
% 0.11/0.39 sP0_prd(sK2_skl)|~sQ2_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f42])).
% 0.11/0.39 fof(f45,definition,(
% 0.11/0.39 sQ3_spl <=> (sP1_prd(sK3_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f46,plain,(
% 0.11/0.39 sP1_prd(sK3_skl)|~sQ3_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f45])).
% 0.11/0.39 fof(f48,definition,(
% 0.11/0.39 sQ4_spl <=> (cCar(sK4_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f49,plain,(
% 0.11/0.39 cCar(sK4_skl)|~sQ4_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f48])).
% 0.11/0.39 fof(f51,plain,(
% 0.11/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f23,f36,f39,f42,f45,f48])).
% 0.11/0.39 fof(f52,definition,(
% 0.11/0.39 sQ5_spl <=> (cAutomobile(sK4_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f54,plain,(
% 0.11/0.39 ~cAutomobile(sK4_skl)|sQ5_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.39 fof(f55,plain,(
% 0.11/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ5_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f24,f36,f39,f42,f45,f52])).
% 0.11/0.39 fof(f56,plain,(
% 0.11/0.39 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f27,f11])).
% 0.11/0.39 fof(f57,plain,(
% 0.11/0.39 ![X0]: (~sP0_prd(X0))),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f56,f58])).
% 0.11/0.39 fof(f58,plain,(
% 0.11/0.39 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f28,f12])).
% 0.11/0.39 fof(f59,plain,(
% 0.11/0.39 cAutomobile(sK3_skl)|~sQ3_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f33,f46])).
% 0.11/0.39 fof(f60,plain,(
% 0.11/0.39 cCar(sK3_skl)|~sQ3_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f16,f59])).
% 0.11/0.39 fof(f62,plain,(
% 0.11/0.39 ~cCar(sK3_skl)|~sQ3_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f34,f46])).
% 0.11/0.39 fof(f63,plain,(
% 0.11/0.39 $false|~sQ3_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f62,f60])).
% 0.11/0.39 fof(f64,plain,(
% 0.11/0.39 ~sQ3_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f63])).
% 0.11/0.39 fof(f65,plain,(
% 0.11/0.39 $false|~sQ2_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f43,f57])).
% 0.11/0.39 fof(f66,plain,(
% 0.11/0.39 ~sQ2_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f65])).
% 0.11/0.39 fof(f67,plain,(
% 0.11/0.39 $false|~sQ1_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f40,f8])).
% 0.11/0.39 fof(f68,plain,(
% 0.11/0.39 ~sQ1_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f67])).
% 0.11/0.39 fof(f69,plain,(
% 0.11/0.39 $false|sQ0_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f38,f7])).
% 0.11/0.39 fof(f70,plain,(
% 0.11/0.39 sQ0_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f69])).
% 0.11/0.39 fof(f71,plain,(
% 0.11/0.39 ~cCar(sK4_skl)|sQ5_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f54,f15])).
% 0.11/0.39 fof(f72,plain,(
% 0.11/0.39 $false|~sQ4_spl|sQ5_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f71,f49])).
% 0.11/0.39 fof(f73,plain,(
% 0.11/0.39 ~sQ4_spl|sQ5_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f72])).
% 0.11/0.39 fof(f74,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f51,f55,f64,f66,f68,f70,f73])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.041873 seconds
% 0.11/0.41 % CPU time: 0.080700 seconds
% 0.11/0.41 % Total memory used: 11.578 MB
% 0.11/0.41 % Net memory used: 11.277 MB
%------------------------------------------------------------------------------