%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS169+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 : n020.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 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS169+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
% 0.12/0.36 % Computer : n020.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 22:55:49 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,axiom,(
% 0.12/0.37 rhasLeader(iX,iY) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (! [X,Y] :( rhasLeader(X,Y)<=> rhasHead(X,Y) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,conjecture,(
% 0.12/0.37 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cowlThing(iX)& rhasHead(iX,iY)& cowlThing(iY) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f8,negated_conjecture,(
% 0.12/0.37 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cowlThing(iX)& rhasHead(iX,iY)& cowlThing(iY) ) )),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f7])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0]: (cowlThing(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0]: (~cowlNothing(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f12])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 rhasLeader(iX,iY)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X,Y]: ((~rhasLeader(X,Y)|rhasHead(X,Y))&(rhasLeader(X,Y)|~rhasHead(X,Y)))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 (![X,Y]: (~rhasLeader(X,Y)|rhasHead(X,Y)))&(![X,Y]: (rhasLeader(X,Y)|~rhasHead(X,Y)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ![X0,X1]: (~rhasLeader(X0,X1)|rhasHead(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 (((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|~cowlThing(iX))|~rhasHead(iX,iY))|~cowlThing(iY))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 ((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cowlThing(iX))|~rhasHead(iX,iY))|~cowlThing(iY)),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f23])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 (((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cowlThing(iX))|~rhasHead(iX,iY))|~cowlThing(iY)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f24])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ((((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|((xsd_string(sK2_skl)|~xsd_integer(sK2_skl))&(~xsd_string(sK2_skl)|xsd_integer(sK2_skl))))|~cowlThing(iX))|~rhasHead(iX,iY))|~cowlThing(iY)),
% 0.12/0.37 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)],[f25])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|xsd_string(sK2_skl)|~xsd_integer(sK2_skl)|~cowlThing(iX)|~rhasHead(iX,iY)|~cowlThing(iY)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|~xsd_string(sK2_skl)|xsd_integer(sK2_skl)|~cowlThing(iX)|~rhasHead(iX,iY)|~cowlThing(iY)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.37 fof(f29,definition,(
% 0.12/0.37 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f31,plain,(
% 0.12/0.37 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f29])).
% 0.12/0.38 fof(f32,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(f33,plain,(
% 0.12/0.38 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f32])).
% 0.12/0.38 fof(f35,definition,(
% 0.12/0.38 sQ2_spl <=> (xsd_string(sK2_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 xsd_string(sK2_skl)|~sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f35])).
% 0.12/0.38 fof(f38,definition,(
% 0.12/0.38 sQ3_spl <=> (xsd_integer(sK2_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f39,plain,(
% 0.12/0.38 xsd_integer(sK2_skl)|~sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f38])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 ~xsd_integer(sK2_skl)|sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f38])).
% 0.12/0.38 fof(f41,definition,(
% 0.12/0.38 sQ4_spl <=> (cowlThing(iX))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 ~cowlThing(iX)|sQ4_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f41])).
% 0.12/0.38 fof(f44,definition,(
% 0.12/0.38 sQ5_spl <=> (rhasHead(iX,iY))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 ~rhasHead(iX,iY)|sQ5_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f44])).
% 0.12/0.38 fof(f47,definition,(
% 0.12/0.38 sQ6_spl <=> (cowlThing(iY))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ~cowlThing(iY)|sQ6_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f47])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f27,f29,f32,f35,f38,f41,f44,f47])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ~sQ0_spl|sQ1_spl|~sQ2_spl|sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f28,f29,f32,f35,f38,f41,f44,f47])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 $false|sQ6_spl),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f49,f10])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 sQ6_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f52])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 ~rhasLeader(iX,iY)|sQ5_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f21,f46])).
% 0.12/0.38 fof(f56,plain,(
% 0.12/0.38 $false|sQ5_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f55,f17])).
% 0.12/0.38 fof(f57,plain,(
% 0.12/0.38 sQ5_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f56])).
% 0.12/0.38 fof(f58,plain,(
% 0.12/0.38 $false|sQ4_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f43,f10])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 sQ4_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f58])).
% 0.12/0.38 fof(f60,plain,(
% 0.12/0.38 $false|~sQ1_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f33,f11])).
% 0.12/0.38 fof(f61,plain,(
% 0.12/0.38 ~sQ1_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f60])).
% 0.12/0.38 fof(f62,plain,(
% 0.12/0.38 $false|sQ0_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f31,f10])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f62])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 ~xsd_string(sK2_skl)|~sQ3_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f39,f14])).
% 0.12/0.38 fof(f65,plain,(
% 0.12/0.38 $false|~sQ2_spl|~sQ3_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f64,f36])).
% 0.12/0.38 fof(f66,plain,(
% 0.12/0.38 ~sQ2_spl|~sQ3_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f65])).
% 0.12/0.38 fof(f67,plain,(
% 0.12/0.38 xsd_string(sK2_skl)|sQ3_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f40,f15])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 sQ2_spl|sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f67,f35,f38])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f50,f51,f53,f57,f59,f61,f63,f66,f68])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.026816 seconds
% 0.12/0.40 % CPU time: 0.039563 seconds
% 0.12/0.40 % Total memory used: 1.050 MB
% 0.12/0.40 % Net memory used: 1.030 MB
%------------------------------------------------------------------------------