%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS168+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 : n001.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 01:00:22 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS168+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
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 23:00:28 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,conjecture,(
% 0.12/0.38 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( ( ~ cB(X)& ~ cA(X) )<=> ~ ( cA(X)| cB(X) ) ) )) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,negated_conjecture,(
% 0.12/0.38 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( ( ~ cB(X)& ~ cA(X) )<=> ~ ( cA(X)| cB(X) ) ) )) )),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f3])).
% 0.12/0.38 fof(f5,plain,(
% 0.12/0.38 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ![X0]: (cowlThing(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 ![X0]: (~cowlNothing(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: ((~cB(X)&~cA(X))<~>(~cA(X)&~cB(X)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f13,definition,(
% 0.12/0.38 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.38 fof(f14,definition,(
% 0.12/0.38 ![X]: (sP1_prd(X)<=>(~cB(X)&~cA(X)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (sP1_prd(X)<~>(~cA(X)&~cB(X))))),
% 0.12/0.38 inference(formula_renaming,[status(thm)],[f12,f14,f13])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((sP1_prd(X)|(~cA(X)&~cB(X)))&(~sP1_prd(X)|(cA(X)|cB(X)))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f15])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((sP1_prd(X)|(~cA(X)&~cB(X)))&(~sP1_prd(X)|(cA(X)|cB(X)))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f16])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|sP0_prd(sK2_skl))|((sP1_prd(sK3_skl)|(~cA(sK3_skl)&~cB(sK3_skl)))&(~sP1_prd(sK3_skl)|(cA(sK3_skl)|cB(sK3_skl))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl)],[f17])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK3_skl)|~cA(sK3_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK3_skl)|~cB(sK3_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|~sP1_prd(sK3_skl)|cA(sK3_skl)|cB(sK3_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.38 fof(f22,plain,(
% 0.12/0.38 ![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)))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 (![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)))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.38 fof(f24,plain,(
% 0.12/0.38 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 ![X]: ((~sP1_prd(X)|(~cB(X)&~cA(X)))&(sP1_prd(X)|(cB(X)|cA(X))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f14])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 (![X]: (~sP1_prd(X)|(~cB(X)&~cA(X))))&(![X]: (sP1_prd(X)|(cB(X)|cA(X))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f28])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ![X0]: (~sP1_prd(X0)|~cB(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.38 fof(f31,plain,(
% 0.12/0.38 ![X0]: (~sP1_prd(X0)|~cA(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 ![X0]: (sP1_prd(X0)|cB(X0)|cA(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.38 fof(f33,definition,(
% 0.12/0.38 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f33])).
% 0.12/0.38 fof(f36,definition,(
% 0.12/0.38 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f36])).
% 0.12/0.38 fof(f39,definition,(
% 0.12/0.38 sQ2_spl <=> (sP0_prd(sK2_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 sP0_prd(sK2_skl)|~sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f39])).
% 0.12/0.38 fof(f42,definition,(
% 0.12/0.38 sQ3_spl <=> (sP1_prd(sK3_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 sP1_prd(sK3_skl)|~sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f42])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ~sP1_prd(sK3_skl)|sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f42])).
% 0.12/0.38 fof(f45,definition,(
% 0.12/0.38 sQ4_spl <=> (cA(sK3_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 cA(sK3_skl)|~sQ4_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f45])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f19,f33,f36,f39,f42,f45])).
% 0.12/0.38 fof(f49,definition,(
% 0.12/0.38 sQ5_spl <=> (cB(sK3_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 cB(sK3_skl)|~sQ5_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ5_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f20,f33,f36,f39,f42,f49])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|sQ4_spl|sQ5_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f21,f33,f36,f39,f42,f45,f49])).
% 0.12/0.38 fof(f54,plain,(
% 0.12/0.38 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f24,f10])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 ![X0]: (~sP0_prd(X0))),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f54,f56])).
% 0.12/0.38 fof(f56,plain,(
% 0.12/0.38 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f25,f11])).
% 0.12/0.38 fof(f57,plain,(
% 0.12/0.38 $false|~sQ2_spl),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f40,f55])).
% 0.12/0.38 fof(f58,plain,(
% 0.12/0.38 ~sQ2_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f57])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 $false|~sQ1_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f37,f7])).
% 0.12/0.38 fof(f60,plain,(
% 0.12/0.38 ~sQ1_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f59])).
% 0.12/0.38 fof(f61,plain,(
% 0.12/0.38 $false|sQ0_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f35,f6])).
% 0.12/0.38 fof(f62,plain,(
% 0.12/0.38 sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f61])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 ~cA(sK3_skl)|~sQ3_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f31,f43])).
% 0.12/0.38 fof(f65,plain,(
% 0.12/0.38 $false|~sQ4_spl|~sQ3_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f64,f46])).
% 0.12/0.38 fof(f66,plain,(
% 0.12/0.38 ~sQ4_spl|~sQ3_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f65])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 cB(sK3_skl)|cA(sK3_skl)|sQ3_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f44,f32])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 sQ5_spl|sQ4_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f68,f49,f45,f42])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 ~sP1_prd(sK3_skl)|~sQ5_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f50,f30])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 ~sQ3_spl|~sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f71,f42,f49])).
% 0.12/0.39 fof(f73,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f48,f52,f53,f58,f60,f62,f66,f69,f72])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.041889 seconds
% 0.12/0.40 % CPU time: 0.110224 seconds
% 0.12/0.40 % Total memory used: 16.824 MB
% 0.12/0.40 % Net memory used: 16.353 MB
%------------------------------------------------------------------------------