%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS170+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 : n004.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 0.10s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS170+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
% 0.10/0.55 % Computer : n004.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Sun Sep 20 22:55:36 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.10/0.58 % Refutation found
% 0.10/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.58 fof(f1,axiom,(
% 0.10/0.58 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.10/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f2,axiom,(
% 0.10/0.58 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.10/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f3,axiom,(
% 0.10/0.58 (! [X,Y] :( rhasLeader(X,Y)<=> rhasHead(X,Y) ) )),
% 0.10/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f4,conjecture,(
% 0.10/0.58 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( rhasLeader(X,Y)=> rhasHead(X,Y) ))& (! [X,Y] :( rhasHead(X,Y)=> rhasLeader(X,Y) ) )) ),
% 0.10/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f5,negated_conjecture,(
% 0.10/0.58 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( rhasLeader(X,Y)=> rhasHead(X,Y) ))& (! [X,Y] :( rhasHead(X,Y)=> rhasLeader(X,Y) ) )) )),
% 0.10/0.58 inference(negated_conjecture,[status(cth)],[f4])).
% 0.10/0.58 fof(f6,plain,(
% 0.10/0.58 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.58 fof(f7,plain,(
% 0.10/0.58 ![X0]: (cowlThing(X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.58 fof(f8,plain,(
% 0.10/0.58 ![X0]: (~cowlNothing(X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.58 fof(f9,plain,(
% 0.10/0.58 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f2])).
% 0.10/0.58 fof(f10,plain,(
% 0.10/0.58 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f9])).
% 0.10/0.58 fof(f11,plain,(
% 0.10/0.58 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.58 fof(f12,plain,(
% 0.10/0.58 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.58 fof(f13,plain,(
% 0.10/0.58 ![X,Y]: ((~rhasLeader(X,Y)|rhasHead(X,Y))&(rhasLeader(X,Y)|~rhasHead(X,Y)))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f3])).
% 0.10/0.58 fof(f14,plain,(
% 0.10/0.58 (![X,Y]: (~rhasLeader(X,Y)|rhasHead(X,Y)))&(![X,Y]: (rhasLeader(X,Y)|~rhasHead(X,Y)))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f13])).
% 0.10/0.58 fof(f15,plain,(
% 0.10/0.58 ![X0,X1]: (~rhasLeader(X0,X1)|rhasHead(X0,X1))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.58 fof(f16,plain,(
% 0.10/0.58 ![X0,X1]: (rhasLeader(X0,X1)|~rhasHead(X0,X1))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.58 fof(f17,plain,(
% 0.10/0.58 ((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X,Y]: (rhasLeader(X,Y)&~rhasHead(X,Y))))|(?[X,Y]: (rhasHead(X,Y)&~rhasLeader(X,Y))))),
% 0.10/0.58 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.58 fof(f18,definition,(
% 0.10/0.58 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.58 fof(f19,definition,(
% 0.10/0.58 ![X,Y]: (sP1_prd(Y,X)<=>(rhasLeader(X,Y)&~rhasHead(X,Y)))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.10/0.58 fof(f20,plain,(
% 0.10/0.58 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: sP1_prd(Y,X)))|(?[X,Y]: (rhasHead(X,Y)&~rhasLeader(X,Y)))),
% 0.10/0.58 inference(formula_renaming,[status(thm)],[f17,f19,f18])).
% 0.10/0.58 fof(f21,plain,(
% 0.10/0.58 ((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: sP1_prd(Y,X)))|(?[X,Y]: (rhasHead(X,Y)&~rhasLeader(X,Y)))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f20])).
% 0.10/0.58 fof(f22,plain,(
% 0.10/0.58 (((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|sP0_prd(sK2_skl))|sP1_prd(sK4_skl,sK3_skl))|(rhasHead(sK5_skl,sK6_skl)&~rhasLeader(sK5_skl,sK6_skl))),
% 0.10/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(Y,sK4_skl),skolemize(X,sK5_skl),skolemize(Y,sK6_skl)],[f21])).
% 0.10/0.58 fof(f23,plain,(
% 0.10/0.58 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK4_skl,sK3_skl)|rhasHead(sK5_skl,sK6_skl)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.58 fof(f24,plain,(
% 0.10/0.58 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK4_skl,sK3_skl)|~rhasLeader(sK5_skl,sK6_skl)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.58 fof(f25,plain,(
% 0.10/0.58 ![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)))))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f18])).
% 0.10/0.58 fof(f26,plain,(
% 0.10/0.58 (![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)))))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f25])).
% 0.10/0.58 fof(f27,plain,(
% 0.10/0.58 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.58 fof(f28,plain,(
% 0.10/0.58 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.58 fof(f31,plain,(
% 0.10/0.58 ![X,Y]: ((~sP1_prd(Y,X)|(rhasLeader(X,Y)&~rhasHead(X,Y)))&(sP1_prd(Y,X)|(~rhasLeader(X,Y)|rhasHead(X,Y))))),
% 0.10/0.58 inference(NNF_transformation,[status(thm)],[f19])).
% 0.10/0.58 fof(f32,plain,(
% 0.10/0.58 (![X,Y]: (~sP1_prd(Y,X)|(rhasLeader(X,Y)&~rhasHead(X,Y))))&(![X,Y]: (sP1_prd(Y,X)|(~rhasLeader(X,Y)|rhasHead(X,Y))))),
% 0.10/0.58 inference(miniscoping,[status(thm)],[f31])).
% 0.10/0.58 fof(f33,plain,(
% 0.10/0.58 ![X0,X1]: (~sP1_prd(X0,X1)|rhasLeader(X1,X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.58 fof(f34,plain,(
% 0.10/0.58 ![X0,X1]: (~sP1_prd(X0,X1)|~rhasHead(X1,X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.58 fof(f36,definition,(
% 0.10/0.58 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.58 fof(f38,plain,(
% 0.10/0.58 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.10/0.58 inference(component_clause,[status(thm)],[f36])).
% 0.10/0.58 fof(f39,definition,(
% 0.10/0.58 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.58 fof(f40,plain,(
% 0.10/0.58 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.10/0.58 inference(component_clause,[status(thm)],[f39])).
% 0.10/0.58 fof(f42,definition,(
% 0.10/0.58 sQ2_spl <=> (sP0_prd(sK2_skl))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.58 fof(f43,plain,(
% 0.10/0.58 sP0_prd(sK2_skl)|~sQ2_spl),
% 0.10/0.58 inference(component_clause,[status(thm)],[f42])).
% 0.10/0.58 fof(f45,definition,(
% 0.10/0.58 sQ3_spl <=> (sP1_prd(sK4_skl,sK3_skl))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.58 fof(f46,plain,(
% 0.10/0.58 sP1_prd(sK4_skl,sK3_skl)|~sQ3_spl),
% 0.10/0.58 inference(component_clause,[status(thm)],[f45])).
% 0.10/0.58 fof(f48,definition,(
% 0.10/0.58 sQ4_spl <=> (rhasHead(sK5_skl,sK6_skl))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.58 fof(f49,plain,(
% 0.10/0.58 rhasHead(sK5_skl,sK6_skl)|~sQ4_spl),
% 0.10/0.58 inference(component_clause,[status(thm)],[f48])).
% 0.10/0.58 fof(f51,plain,(
% 0.10/0.58 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.10/0.58 inference(split_clause,[status(thm)],[f23,f36,f39,f42,f45,f48])).
% 0.10/0.58 fof(f52,definition,(
% 0.10/0.58 sQ5_spl <=> (rhasLeader(sK5_skl,sK6_skl))),
% 0.10/0.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.58 fof(f54,plain,(
% 0.10/0.58 ~rhasLeader(sK5_skl,sK6_skl)|sQ5_spl),
% 0.10/0.58 inference(component_clause,[status(thm)],[f52])).
% 0.10/0.58 fof(f55,plain,(
% 0.10/0.58 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ5_spl),
% 0.10/0.58 inference(split_clause,[status(thm)],[f24,f36,f39,f42,f45,f52])).
% 0.10/0.58 fof(f56,plain,(
% 0.10/0.58 rhasLeader(sK3_skl,sK4_skl)|~sQ3_spl),
% 0.10/0.58 inference(resolution,[status(thm)],[f33,f46])).
% 0.10/0.58 fof(f57,plain,(
% 0.10/0.58 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.10/0.58 inference(backward_subsumption_resolution,[status(thm)],[f27,f11])).
% 0.10/0.58 fof(f58,plain,(
% 0.10/0.58 rhasHead(sK3_skl,sK4_skl)|~sQ3_spl),
% 0.10/0.58 inference(resolution,[status(thm)],[f15,f56])).
% 0.10/0.58 fof(f60,plain,(
% 0.10/0.58 ~sP1_prd(sK4_skl,sK3_skl)|~sQ3_spl),
% 0.10/0.58 inference(resolution,[status(thm)],[f34,f58])).
% 0.10/0.58 fof(f61,plain,(
% 0.10/0.58 $false|~sQ3_spl),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f60,f46])).
% 0.10/0.58 fof(f62,plain,(
% 0.10/0.58 ~sQ3_spl),
% 0.10/0.58 inference(contradiction_clause,[status(thm)],[f61])).
% 0.10/0.58 fof(f63,plain,(
% 0.10/0.58 ![X0]: (~sP0_prd(X0)|~xsd_string(X0))),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f28,f57])).
% 0.10/0.58 fof(f66,plain,(
% 0.10/0.58 ![X0]: (xsd_string(X0)|~sP0_prd(X0))),
% 0.10/0.58 inference(resolution,[status(thm)],[f12,f57])).
% 0.10/0.58 fof(f68,plain,(
% 0.10/0.58 ![X0]: (~sP0_prd(X0))),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f66,f63])).
% 0.10/0.58 fof(f69,plain,(
% 0.10/0.58 $false|~sQ2_spl),
% 0.10/0.58 inference(backward_subsumption_resolution,[status(thm)],[f43,f68])).
% 0.10/0.58 fof(f70,plain,(
% 0.10/0.58 ~sQ2_spl),
% 0.10/0.58 inference(contradiction_clause,[status(thm)],[f69])).
% 0.10/0.58 fof(f71,plain,(
% 0.10/0.58 $false|~sQ1_spl),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f40,f8])).
% 0.10/0.58 fof(f72,plain,(
% 0.10/0.58 ~sQ1_spl),
% 0.10/0.58 inference(contradiction_clause,[status(thm)],[f71])).
% 0.10/0.58 fof(f73,plain,(
% 0.10/0.58 $false|sQ0_spl),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f38,f7])).
% 0.10/0.58 fof(f74,plain,(
% 0.10/0.58 sQ0_spl),
% 0.10/0.58 inference(contradiction_clause,[status(thm)],[f73])).
% 0.10/0.58 fof(f76,plain,(
% 0.10/0.58 rhasLeader(sK5_skl,sK6_skl)|~sQ4_spl),
% 0.10/0.58 inference(resolution,[status(thm)],[f49,f16])).
% 0.10/0.58 fof(f77,plain,(
% 0.10/0.58 $false|sQ5_spl|~sQ4_spl),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f76,f54])).
% 0.10/0.58 fof(f78,plain,(
% 0.10/0.58 sQ5_spl|~sQ4_spl),
% 0.10/0.58 inference(contradiction_clause,[status(thm)],[f77])).
% 0.10/0.58 fof(f79,plain,(
% 0.10/0.58 $false),
% 0.10/0.58 inference(sat_refutation,[status(thm)],[f51,f55,f62,f70,f72,f74,f78])).
% 0.10/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.041385 seconds
% 0.14/0.61 % CPU time: 0.112363 seconds
% 0.14/0.61 % Total memory used: 16.903 MB
% 0.14/0.61 % Net memory used: 16.435 MB
%------------------------------------------------------------------------------