%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS145+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 : n008.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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS145+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
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:55:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f8,axiom,(
% 0.09/0.41 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f9,axiom,(
% 0.09/0.41 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f10,axiom,(
% 0.09/0.41 (! [X] :( cc(X)=> ( (! [Y0,Y1,Y2] :( ( rp(X,Y0)& rp(X,Y1)& rp(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ))& (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ) )) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f11,conjecture,(
% 0.09/0.41 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> ( (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ))& (! [Y0,Y1,Y2] :( ( rp(X,Y0)& rp(X,Y1)& rp(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ) )) ) )) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f12,negated_conjecture,(
% 0.09/0.41 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> ( (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ))& (! [Y0,Y1,Y2] :( ( rp(X,Y0)& rp(X,Y1)& rp(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ) )) ) )) )),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f11])).
% 0.09/0.41 fof(f34,plain,(
% 0.09/0.41 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.41 fof(f35,plain,(
% 0.09/0.41 ![X0]: (cowlThing(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.41 fof(f36,plain,(
% 0.09/0.41 ![X0]: (~cowlNothing(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.41 fof(f37,plain,(
% 0.09/0.41 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f9])).
% 0.09/0.41 fof(f38,plain,(
% 0.09/0.41 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f37])).
% 0.09/0.41 fof(f39,plain,(
% 0.09/0.41 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.41 fof(f40,plain,(
% 0.09/0.41 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.41 fof(f41,plain,(
% 0.09/0.41 ![X]: (~cc(X)|((![Y0,Y1,Y2]: (((~rp(X,Y0)|~rp(X,Y1))|~rp(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))&(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.41 fof(f42,plain,(
% 0.09/0.41 ![X]: (~cc(X)|((![Y0,Y1,Y2]: (((~rp(X,Y0)|~rp(X,Y1))|~rp(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))&((rp(X,sK0_skl(X))&rp(X,sK1_skl(X)))&~sK0_skl(X)=sK1_skl(X))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y0,sK0_skl(X)),skolemize(Y1,sK1_skl(X))],[f41])).
% 0.09/0.41 fof(f43,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~cc(X0)|~rp(X0,X1)|~rp(X0,X2)|~rp(X0,X3)|X1=X2|X1=X3|X2=X3)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.41 fof(f44,plain,(
% 0.09/0.41 ![X0]: (~cc(X0)|rp(X0,sK0_skl(X0)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.41 fof(f45,plain,(
% 0.09/0.41 ![X0]: (~cc(X0)|rp(X0,sK1_skl(X0)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.41 fof(f46,plain,(
% 0.09/0.41 ![X0]: (~cc(X0)|~sK0_skl(X0)=sK1_skl(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.41 fof(f47,plain,(
% 0.09/0.41 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cc(X)&((![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))|(?[Y0,Y1,Y2]: (((rp(X,Y0)&rp(X,Y1))&rp(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2)))))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.41 fof(f48,definition,(
% 0.09/0.41 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.41 fof(f49,plain,(
% 0.09/0.41 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (cc(X)&((![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))|(?[Y0,Y1,Y2]: (((rp(X,Y0)&rp(X,Y1))&rp(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2))))))),
% 0.09/0.41 inference(formula_renaming,[status(thm)],[f47,f48])).
% 0.09/0.41 fof(f50,plain,(
% 0.09/0.41 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (cc(X)&((![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))|(?[Y0,Y1,Y2]: (((rp(X,Y0)&rp(X,Y1))&rp(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2))))))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f49])).
% 0.09/0.41 fof(f51,plain,(
% 0.09/0.41 ((~cowlThing(sK2_skl)|cowlNothing(sK3_skl))|sP0_prd(sK4_skl))|(cc(sK5_skl)&((![Y0,Y1]: ((~rp(sK5_skl,Y0)|~rp(sK5_skl,Y1))|Y0=Y1))|(((rp(sK5_skl,sK6_skl)&rp(sK5_skl,sK7_skl))&rp(sK5_skl,sK8_skl))&((~sK6_skl=sK7_skl&~sK6_skl=sK8_skl)&~sK7_skl=sK8_skl))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(X,sK4_skl),skolemize(X,sK5_skl),skolemize(Y0,sK6_skl),skolemize(Y1,sK7_skl),skolemize(Y2,sK8_skl)],[f50])).
% 0.09/0.41 fof(f52,plain,(
% 0.09/0.41 ~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|cc(sK5_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f53,plain,(
% 0.09/0.41 ![X0,X1]: (~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|rp(sK5_skl,sK6_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f54,plain,(
% 0.09/0.41 ![X0,X1]: (~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|rp(sK5_skl,sK7_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f55,plain,(
% 0.09/0.41 ![X0,X1]: (~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|rp(sK5_skl,sK8_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f56,plain,(
% 0.09/0.41 ![X0,X1]: (~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|~sK6_skl=sK7_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f57,plain,(
% 0.09/0.41 ![X0,X1]: (~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|~sK6_skl=sK8_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f58,plain,(
% 0.09/0.41 ![X0,X1]: (~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|sP0_prd(sK4_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|~sK7_skl=sK8_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f59,plain,(
% 0.09/0.41 ![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)))))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f48])).
% 0.09/0.41 fof(f60,plain,(
% 0.09/0.41 (![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)))))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f59])).
% 0.09/0.41 fof(f61,plain,(
% 0.09/0.41 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.41 fof(f62,plain,(
% 0.09/0.41 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.41 fof(f65,definition,(
% 0.09/0.41 sQ0_spl <=> (cowlThing(sK2_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f67,plain,(
% 0.09/0.41 ~cowlThing(sK2_skl)|sQ0_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f65])).
% 0.09/0.41 fof(f68,definition,(
% 0.09/0.41 sQ1_spl <=> (cowlNothing(sK3_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f69,plain,(
% 0.09/0.41 cowlNothing(sK3_skl)|~sQ1_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f68])).
% 0.09/0.41 fof(f71,definition,(
% 0.09/0.41 sQ2_spl <=> (sP0_prd(sK4_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f72,plain,(
% 0.09/0.41 sP0_prd(sK4_skl)|~sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.41 fof(f74,definition,(
% 0.09/0.41 sQ3_spl <=> (cc(sK5_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f75,plain,(
% 0.09/0.41 cc(sK5_skl)|~sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f74])).
% 0.09/0.41 fof(f77,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f52,f65,f68,f71,f74])).
% 0.09/0.41 fof(f78,definition,(
% 0.09/0.41 ![X0,X1]: (sQ4_spl <=> (~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f79,plain,(
% 0.09/0.41 ![X0,X1]: (~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|~sQ4_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f78])).
% 0.09/0.41 fof(f81,definition,(
% 0.09/0.41 sQ5_spl <=> (rp(sK5_skl,sK6_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f82,plain,(
% 0.09/0.41 rp(sK5_skl,sK6_skl)|~sQ5_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.41 fof(f84,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f53,f65,f68,f71,f78,f81])).
% 0.09/0.41 fof(f85,definition,(
% 0.09/0.41 sQ6_spl <=> (rp(sK5_skl,sK7_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f86,plain,(
% 0.09/0.41 rp(sK5_skl,sK7_skl)|~sQ6_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f54,f65,f68,f71,f78,f85])).
% 0.09/0.41 fof(f89,definition,(
% 0.09/0.41 sQ7_spl <=> (rp(sK5_skl,sK8_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f90,plain,(
% 0.09/0.41 rp(sK5_skl,sK8_skl)|~sQ7_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.41 fof(f92,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|sQ7_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f55,f65,f68,f71,f78,f89])).
% 0.09/0.41 fof(f93,definition,(
% 0.09/0.41 sQ8_spl <=> (sK6_skl=sK7_skl)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f96,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|~sQ8_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f56,f65,f68,f71,f78,f93])).
% 0.09/0.41 fof(f97,definition,(
% 0.09/0.41 sQ9_spl <=> (sK6_skl=sK8_skl)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f100,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|~sQ9_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f57,f65,f68,f71,f78,f97])).
% 0.09/0.41 fof(f101,definition,(
% 0.09/0.41 sQ10_spl <=> (sK7_skl=sK8_skl)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f104,plain,(
% 0.09/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|~sQ10_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f58,f65,f68,f71,f78,f101])).
% 0.09/0.41 fof(f105,plain,(
% 0.09/0.41 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f61,f39])).
% 0.09/0.41 fof(f106,plain,(
% 0.09/0.41 ![X0]: (~sP0_prd(X0))),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f105,f107])).
% 0.09/0.41 fof(f107,plain,(
% 0.09/0.41 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f62,f40])).
% 0.09/0.41 fof(f108,plain,(
% 0.09/0.41 $false|~sQ2_spl),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f72,f106])).
% 0.09/0.41 fof(f109,plain,(
% 0.09/0.41 ~sQ2_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f108])).
% 0.09/0.41 fof(f110,plain,(
% 0.09/0.41 $false|~sQ1_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f69,f36])).
% 0.09/0.41 fof(f111,plain,(
% 0.09/0.41 ~sQ1_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f110])).
% 0.09/0.41 fof(f112,plain,(
% 0.09/0.41 $false|sQ0_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f67,f35])).
% 0.09/0.41 fof(f113,plain,(
% 0.09/0.41 sQ0_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f112])).
% 0.09/0.41 fof(f114,plain,(
% 0.09/0.41 rp(sK5_skl,sK0_skl(sK5_skl))|~sQ3_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f44,f75])).
% 0.09/0.41 fof(f115,plain,(
% 0.09/0.41 ![X0]: (~rp(sK5_skl,X0)|X0=sK0_skl(sK5_skl)|~sQ3_spl|~sQ4_spl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f114,f79])).
% 0.09/0.41 fof(f116,plain,(
% 0.09/0.41 rp(sK5_skl,sK1_skl(sK5_skl))|~sQ3_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f45,f75])).
% 0.09/0.41 fof(f118,plain,(
% 0.09/0.41 sK1_skl(sK5_skl)=sK0_skl(sK5_skl)|~sQ4_spl|~sQ3_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f115,f116])).
% 0.09/0.41 fof(f139,plain,(
% 0.09/0.41 ~cc(sK5_skl)|~sQ4_spl|~sQ3_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f118,f46])).
% 0.09/0.41 fof(f141,plain,(
% 0.09/0.41 $false|~sQ4_spl|~sQ3_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f139,f75])).
% 0.09/0.41 fof(f142,plain,(
% 0.09/0.41 ~sQ4_spl|~sQ3_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f141])).
% 0.09/0.41 fof(f144,plain,(
% 0.09/0.41 ![X0,X1]: (~cc(sK5_skl)|~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|X0=sK6_skl|X1=sK6_skl|~sQ5_spl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f82,f43])).
% 0.09/0.41 fof(f154,definition,(
% 0.09/0.41 ![X0,X1]: (sQ16_spl <=> (~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|X0=sK6_skl|X1=sK6_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f155,plain,(
% 0.09/0.41 ![X0,X1]: (~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|X0=sK6_skl|X1=sK6_skl|~sQ16_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f154])).
% 0.09/0.41 fof(f157,plain,(
% 0.09/0.41 ~sQ3_spl|sQ16_spl|~sQ5_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f144,f74,f154,f81])).
% 0.09/0.41 fof(f225,plain,(
% 0.09/0.41 ![X0]: (~rp(sK5_skl,X0)|X0=sK7_skl|X0=sK6_skl|sK7_skl=sK6_skl|~sQ16_spl|~sQ6_spl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f155,f86])).
% 0.09/0.41 fof(f232,definition,(
% 0.09/0.41 ![X0]: (sQ27_spl <=> (~rp(sK5_skl,X0)|X0=sK7_skl|X0=sK6_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f233,plain,(
% 0.09/0.41 ![X0]: (~rp(sK5_skl,X0)|X0=sK7_skl|X0=sK6_skl|~sQ27_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f232])).
% 0.09/0.41 fof(f235,plain,(
% 0.09/0.41 sQ27_spl|sQ8_spl|~sQ16_spl|~sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f225,f232,f93,f154,f85])).
% 0.09/0.41 fof(f250,plain,(
% 0.09/0.41 sK8_skl=sK7_skl|sK8_skl=sK6_skl|~sQ27_spl|~sQ7_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f233,f90])).
% 0.09/0.41 fof(f254,plain,(
% 0.09/0.41 sQ10_spl|sQ9_spl|~sQ27_spl|~sQ7_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f250,f101,f97,f232,f89])).
% 0.09/0.41 fof(f261,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f77,f84,f88,f92,f96,f100,f104,f109,f111,f113,f142,f157,f235,f254])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.056884 seconds
% 0.09/0.43 % CPU time: 0.172009 seconds
% 0.09/0.43 % Total memory used: 81.007 MB
% 0.09/0.43 % Net memory used: 80.757 MB
%------------------------------------------------------------------------------