%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS167+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 : n016.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 0.09s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n016.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 22:59:38 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.09/0.59 % Refutation found
% 0.09/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.59 fof(f9,axiom,(
% 0.09/0.59 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.59 fof(f10,axiom,(
% 0.09/0.59 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.59 fof(f11,axiom,(
% 0.09/0.59 (! [X] :( cc1(X)<=> ( (? [Y0] : rp(X,Y0))& (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.59 fof(f12,axiom,(
% 0.09/0.59 (! [X] :( cc2(X)<=> ( (? [Y0] : rp(X,Y0))& (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.59 fof(f13,conjecture,(
% 0.09/0.59 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc1(X)<=> cc2(X) ) )) ),
% 0.09/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.59 fof(f14,negated_conjecture,(
% 0.09/0.59 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc1(X)<=> cc2(X) ) )) )),
% 0.09/0.59 inference(negated_conjecture,[status(cth)],[f13])).
% 0.09/0.59 fof(f39,plain,(
% 0.09/0.59 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.09/0.59 inference(miniscoping,[status(thm)],[f9])).
% 0.09/0.59 fof(f40,plain,(
% 0.09/0.59 ![X0]: (cowlThing(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.59 fof(f41,plain,(
% 0.09/0.59 ![X0]: (~cowlNothing(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.59 fof(f42,plain,(
% 0.09/0.59 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.09/0.59 inference(NNF_transformation,[status(thm)],[f10])).
% 0.09/0.59 fof(f43,plain,(
% 0.09/0.59 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.09/0.59 inference(miniscoping,[status(thm)],[f42])).
% 0.09/0.59 fof(f44,plain,(
% 0.09/0.59 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.59 fof(f45,plain,(
% 0.09/0.59 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.59 fof(f46,plain,(
% 0.09/0.59 ![X]: (cc1(X)<=>((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))))),
% 0.09/0.59 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.09/0.59 fof(f47,plain,(
% 0.09/0.59 ![X]: ((~cc1(X)|((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))))&(cc1(X)|((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.09/0.59 inference(NNF_transformation,[status(thm)],[f46])).
% 0.09/0.59 fof(f48,plain,(
% 0.09/0.59 (![X]: (~cc1(X)|((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1)))))&(![X]: (cc1(X)|((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.09/0.59 inference(miniscoping,[status(thm)],[f47])).
% 0.09/0.59 fof(f49,plain,(
% 0.09/0.59 (![X]: (~cc1(X)|(rp(X,sK0_skl(X))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1)))))&(![X]: (cc1(X)|((![Y0]: ~rp(X,Y0))|((rp(X,sK1_skl(X))&rp(X,sK2_skl(X)))&~sK1_skl(X)=sK2_skl(X)))))),
% 0.09/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y0,sK0_skl(X)),skolemize(Y0,sK1_skl(X)),skolemize(Y1,sK2_skl(X))],[f48])).
% 0.09/0.59 fof(f50,plain,(
% 0.09/0.59 ![X0]: (~cc1(X0)|rp(X0,sK0_skl(X0)))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.59 fof(f51,plain,(
% 0.09/0.59 ![X0,X1,X2]: (~cc1(X0)|~rp(X0,X1)|~rp(X0,X2)|X1=X2)),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.59 fof(f52,plain,(
% 0.09/0.59 ![X0,X1]: (cc1(X0)|~rp(X0,X1)|rp(X0,sK1_skl(X0)))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.59 fof(f53,plain,(
% 0.09/0.59 ![X0,X1]: (cc1(X0)|~rp(X0,X1)|rp(X0,sK2_skl(X0)))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.59 fof(f54,plain,(
% 0.09/0.59 ![X0,X1]: (cc1(X0)|~rp(X0,X1)|~sK1_skl(X0)=sK2_skl(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.59 fof(f55,plain,(
% 0.09/0.59 ![X]: (cc2(X)<=>((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))))),
% 0.09/0.59 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.59 fof(f56,plain,(
% 0.09/0.59 ![X]: ((~cc2(X)|((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))))&(cc2(X)|((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.09/0.59 inference(NNF_transformation,[status(thm)],[f55])).
% 0.09/0.59 fof(f57,plain,(
% 0.09/0.59 (![X]: (~cc2(X)|((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1)))))&(![X]: (cc2(X)|((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.09/0.59 inference(miniscoping,[status(thm)],[f56])).
% 0.09/0.59 fof(f58,plain,(
% 0.09/0.59 (![X]: (~cc2(X)|(rp(X,sK3_skl(X))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1)))))&(![X]: (cc2(X)|((![Y0]: ~rp(X,Y0))|((rp(X,sK4_skl(X))&rp(X,sK5_skl(X)))&~sK4_skl(X)=sK5_skl(X)))))),
% 0.09/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(Y0,sK3_skl(X)),skolemize(Y0,sK4_skl(X)),skolemize(Y1,sK5_skl(X))],[f57])).
% 0.09/0.59 fof(f59,plain,(
% 0.09/0.59 ![X0]: (~cc2(X0)|rp(X0,sK3_skl(X0)))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.59 fof(f60,plain,(
% 0.09/0.59 ![X0,X1,X2]: (~cc2(X0)|~rp(X0,X1)|~rp(X0,X2)|X1=X2)),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.59 fof(f61,plain,(
% 0.09/0.59 ![X0,X1]: (cc2(X0)|~rp(X0,X1)|rp(X0,sK4_skl(X0)))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.59 fof(f62,plain,(
% 0.09/0.59 ![X0,X1]: (cc2(X0)|~rp(X0,X1)|rp(X0,sK5_skl(X0)))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.59 fof(f63,plain,(
% 0.09/0.59 ![X0,X1]: (cc2(X0)|~rp(X0,X1)|~sK4_skl(X0)=sK5_skl(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.59 fof(f64,plain,(
% 0.09/0.59 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cc1(X)<~>cc2(X))))),
% 0.09/0.59 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.09/0.59 fof(f65,definition,(
% 0.09/0.59 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.59 fof(f66,plain,(
% 0.09/0.59 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (cc1(X)<~>cc2(X)))),
% 0.09/0.59 inference(formula_renaming,[status(thm)],[f64,f65])).
% 0.09/0.59 fof(f67,plain,(
% 0.09/0.59 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cc1(X)|cc2(X))&(~cc1(X)|~cc2(X))))),
% 0.09/0.59 inference(NNF_transformation,[status(thm)],[f66])).
% 0.09/0.59 fof(f68,plain,(
% 0.09/0.59 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cc1(X)|cc2(X))&(~cc1(X)|~cc2(X))))),
% 0.09/0.59 inference(miniscoping,[status(thm)],[f67])).
% 0.09/0.59 fof(f69,plain,(
% 0.09/0.59 ((~cowlThing(sK6_skl)|cowlNothing(sK7_skl))|sP0_prd(sK8_skl))|((cc1(sK9_skl)|cc2(sK9_skl))&(~cc1(sK9_skl)|~cc2(sK9_skl)))),
% 0.09/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK6_skl),skolemize(X,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl)],[f68])).
% 0.09/0.59 fof(f70,plain,(
% 0.09/0.59 ~cowlThing(sK6_skl)|cowlNothing(sK7_skl)|sP0_prd(sK8_skl)|cc1(sK9_skl)|cc2(sK9_skl)),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f69])).
% 0.09/0.59 fof(f71,plain,(
% 0.09/0.59 ~cowlThing(sK6_skl)|cowlNothing(sK7_skl)|sP0_prd(sK8_skl)|~cc1(sK9_skl)|~cc2(sK9_skl)),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f69])).
% 0.09/0.59 fof(f72,plain,(
% 0.09/0.59 ![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)))))),
% 0.09/0.59 inference(NNF_transformation,[status(thm)],[f65])).
% 0.09/0.59 fof(f73,plain,(
% 0.09/0.59 (![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)))))),
% 0.09/0.59 inference(miniscoping,[status(thm)],[f72])).
% 0.09/0.59 fof(f74,plain,(
% 0.09/0.59 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f73])).
% 0.09/0.59 fof(f75,plain,(
% 0.09/0.59 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.59 inference(cnf_transformation,[status(thm)],[f73])).
% 0.09/0.59 fof(f78,definition,(
% 0.09/0.59 sQ0_spl <=> (cowlThing(sK6_skl))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f80,plain,(
% 0.09/0.59 ~cowlThing(sK6_skl)|sQ0_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f78])).
% 0.09/0.59 fof(f81,definition,(
% 0.09/0.59 sQ1_spl <=> (cowlNothing(sK7_skl))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f82,plain,(
% 0.09/0.59 cowlNothing(sK7_skl)|~sQ1_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.59 fof(f84,definition,(
% 0.09/0.59 sQ2_spl <=> (sP0_prd(sK8_skl))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f85,plain,(
% 0.09/0.59 sP0_prd(sK8_skl)|~sQ2_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f84])).
% 0.09/0.59 fof(f87,definition,(
% 0.09/0.59 sQ3_spl <=> (cc1(sK9_skl))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f88,plain,(
% 0.09/0.59 cc1(sK9_skl)|~sQ3_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f87])).
% 0.09/0.59 fof(f90,definition,(
% 0.09/0.59 sQ4_spl <=> (cc2(sK9_skl))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f91,plain,(
% 0.09/0.59 cc2(sK9_skl)|~sQ4_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f90])).
% 0.09/0.59 fof(f93,plain,(
% 0.09/0.59 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f70,f78,f81,f84,f87,f90])).
% 0.09/0.59 fof(f94,plain,(
% 0.09/0.59 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f71,f78,f81,f84,f87,f90])).
% 0.09/0.59 fof(f95,plain,(
% 0.09/0.59 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f74,f44])).
% 0.09/0.59 fof(f96,plain,(
% 0.09/0.59 ![X0]: (~sP0_prd(X0))),
% 0.09/0.59 inference(backward_subsumption_resolution,[status(thm)],[f95,f97])).
% 0.09/0.59 fof(f97,plain,(
% 0.09/0.59 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f75,f45])).
% 0.09/0.59 fof(f98,plain,(
% 0.09/0.59 $false|~sQ2_spl),
% 0.09/0.59 inference(backward_subsumption_resolution,[status(thm)],[f85,f96])).
% 0.09/0.59 fof(f99,plain,(
% 0.09/0.59 ~sQ2_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f98])).
% 0.09/0.59 fof(f100,plain,(
% 0.09/0.59 $false|~sQ1_spl),
% 0.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f82,f41])).
% 0.09/0.59 fof(f101,plain,(
% 0.09/0.59 ~sQ1_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f100])).
% 0.09/0.59 fof(f102,plain,(
% 0.09/0.59 $false|sQ0_spl),
% 0.09/0.59 inference(forward_subsumption_resolution,[status(thm)],[f80,f40])).
% 0.09/0.59 fof(f103,plain,(
% 0.09/0.59 sQ0_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f102])).
% 0.09/0.59 fof(f104,plain,(
% 0.09/0.59 rp(sK9_skl,sK0_skl(sK9_skl))|~sQ3_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f50,f88])).
% 0.09/0.59 fof(f105,plain,(
% 0.09/0.59 ![X0]: (~cc1(sK9_skl)|~rp(sK9_skl,X0)|X0=sK0_skl(sK9_skl)|~sQ3_spl)),
% 0.09/0.59 inference(resolution,[status(thm)],[f104,f51])).
% 0.09/0.59 fof(f106,definition,(
% 0.09/0.59 ![X0]: (sQ5_spl <=> (~rp(sK9_skl,X0)|X0=sK0_skl(sK9_skl)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f107,plain,(
% 0.09/0.59 ![X0]: (~rp(sK9_skl,X0)|X0=sK0_skl(sK9_skl)|~sQ5_spl)),
% 0.09/0.59 inference(component_clause,[status(thm)],[f106])).
% 0.09/0.59 fof(f109,plain,(
% 0.09/0.59 ~sQ3_spl|sQ5_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f105,f87,f106])).
% 0.09/0.59 fof(f114,definition,(
% 0.09/0.59 sQ6_spl <=> (rp(sK9_skl,sK1_skl(sK9_skl)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f115,plain,(
% 0.09/0.59 rp(sK9_skl,sK1_skl(sK9_skl))|~sQ6_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f114])).
% 0.09/0.59 fof(f119,definition,(
% 0.09/0.59 sQ7_spl <=> (rp(sK9_skl,sK2_skl(sK9_skl)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f120,plain,(
% 0.09/0.59 rp(sK9_skl,sK2_skl(sK9_skl))|~sQ7_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f119])).
% 0.09/0.59 fof(f123,plain,(
% 0.09/0.59 cc2(sK9_skl)|rp(sK9_skl,sK4_skl(sK9_skl))|~sQ3_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f61,f104])).
% 0.09/0.59 fof(f124,definition,(
% 0.09/0.59 sQ8_spl <=> (rp(sK9_skl,sK4_skl(sK9_skl)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f125,plain,(
% 0.09/0.59 rp(sK9_skl,sK4_skl(sK9_skl))|~sQ8_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f124])).
% 0.09/0.59 fof(f127,plain,(
% 0.09/0.59 sQ4_spl|sQ8_spl|~sQ3_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f123,f90,f124,f87])).
% 0.09/0.59 fof(f129,definition,(
% 0.09/0.59 sQ9_spl <=> (rp(sK9_skl,sK5_skl(sK9_skl)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f130,plain,(
% 0.09/0.59 rp(sK9_skl,sK5_skl(sK9_skl))|~sQ9_spl),
% 0.09/0.59 inference(component_clause,[status(thm)],[f129])).
% 0.09/0.59 fof(f134,plain,(
% 0.09/0.59 sK4_skl(sK9_skl)=sK0_skl(sK9_skl)|~sQ8_spl|~sQ5_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f125,f107])).
% 0.09/0.59 fof(f135,plain,(
% 0.09/0.59 cc2(sK9_skl)|rp(sK9_skl,sK5_skl(sK9_skl))|~sQ8_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f125,f62])).
% 0.09/0.59 fof(f141,plain,(
% 0.09/0.59 ![X0]: (~rp(sK9_skl,X0)|X0=sK4_skl(sK9_skl)|~sQ8_spl|~sQ5_spl)),
% 0.09/0.59 inference(backward_demodulation,[status(thm)],[f134,f107])).
% 0.09/0.59 fof(f143,plain,(
% 0.09/0.59 sQ4_spl|sQ9_spl|~sQ8_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f135,f90,f129,f124])).
% 0.09/0.59 fof(f167,plain,(
% 0.09/0.59 sK5_skl(sK9_skl)=sK4_skl(sK9_skl)|~sQ8_spl|~sQ5_spl|~sQ9_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f141,f130])).
% 0.09/0.59 fof(f171,plain,(
% 0.09/0.59 ![X0]: (cc2(sK9_skl)|~rp(sK9_skl,X0)|~sQ8_spl|~sQ5_spl|~sQ9_spl)),
% 0.09/0.59 inference(resolution,[status(thm)],[f63,f167])).
% 0.09/0.59 fof(f173,definition,(
% 0.09/0.59 ![X0]: (sQ12_spl <=> (~rp(sK9_skl,X0)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f174,plain,(
% 0.09/0.59 ![X0]: (~rp(sK9_skl,X0)|~sQ12_spl)),
% 0.09/0.59 inference(component_clause,[status(thm)],[f173])).
% 0.09/0.59 fof(f176,plain,(
% 0.09/0.59 sQ4_spl|sQ12_spl|~sQ8_spl|~sQ5_spl|~sQ9_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f171,f90,f173,f124,f106,f129])).
% 0.09/0.59 fof(f181,plain,(
% 0.09/0.59 $false|~sQ12_spl|~sQ8_spl),
% 0.09/0.59 inference(backward_subsumption_resolution,[status(thm)],[f125,f174])).
% 0.09/0.59 fof(f182,plain,(
% 0.09/0.59 ~sQ12_spl|~sQ8_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f181])).
% 0.09/0.59 fof(f183,plain,(
% 0.09/0.59 rp(sK9_skl,sK3_skl(sK9_skl))|~sQ4_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f91,f59])).
% 0.09/0.59 fof(f186,plain,(
% 0.09/0.59 cc1(sK9_skl)|rp(sK9_skl,sK2_skl(sK9_skl))|~sQ4_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f183,f53])).
% 0.09/0.59 fof(f188,plain,(
% 0.09/0.59 ![X0]: (~cc2(sK9_skl)|~rp(sK9_skl,X0)|X0=sK3_skl(sK9_skl)|~sQ4_spl)),
% 0.09/0.59 inference(resolution,[status(thm)],[f183,f60])).
% 0.09/0.59 fof(f192,plain,(
% 0.09/0.59 sQ3_spl|sQ7_spl|~sQ4_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f186,f87,f119,f90])).
% 0.09/0.59 fof(f194,definition,(
% 0.09/0.59 ![X0]: (sQ14_spl <=> (~rp(sK9_skl,X0)|X0=sK3_skl(sK9_skl)))),
% 0.09/0.59 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.59 fof(f195,plain,(
% 0.09/0.59 ![X0]: (~rp(sK9_skl,X0)|X0=sK3_skl(sK9_skl)|~sQ14_spl)),
% 0.09/0.59 inference(component_clause,[status(thm)],[f194])).
% 0.09/0.59 fof(f197,plain,(
% 0.09/0.59 ~sQ4_spl|sQ14_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f188,f90,f194])).
% 0.09/0.59 fof(f202,plain,(
% 0.09/0.59 cc1(sK9_skl)|rp(sK9_skl,sK1_skl(sK9_skl))|~sQ7_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f120,f52])).
% 0.09/0.59 fof(f208,plain,(
% 0.09/0.59 sQ3_spl|sQ6_spl|~sQ7_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f202,f87,f114,f119])).
% 0.09/0.59 fof(f229,plain,(
% 0.09/0.59 sK1_skl(sK9_skl)=sK3_skl(sK9_skl)|~sQ14_spl|~sQ6_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f195,f115])).
% 0.09/0.59 fof(f230,plain,(
% 0.09/0.59 sK2_skl(sK9_skl)=sK3_skl(sK9_skl)|~sQ14_spl|~sQ7_spl),
% 0.09/0.59 inference(resolution,[status(thm)],[f195,f120])).
% 0.09/0.59 fof(f236,plain,(
% 0.09/0.59 sK2_skl(sK9_skl)=sK1_skl(sK9_skl)|~sQ6_spl|~sQ14_spl|~sQ7_spl),
% 0.09/0.59 inference(forward_demodulation,[status(thm)],[f229,f230])).
% 0.09/0.59 fof(f240,plain,(
% 0.09/0.59 ![X0]: (cc1(sK9_skl)|~rp(sK9_skl,X0)|~sQ6_spl|~sQ14_spl|~sQ7_spl)),
% 0.09/0.59 inference(resolution,[status(thm)],[f236,f54])).
% 0.09/0.59 fof(f242,plain,(
% 0.09/0.59 sQ3_spl|sQ12_spl|~sQ6_spl|~sQ14_spl|~sQ7_spl),
% 0.09/0.59 inference(split_clause,[status(thm)],[f240,f87,f173,f114,f194,f119])).
% 0.09/0.59 fof(f247,plain,(
% 0.09/0.59 $false|~sQ12_spl|~sQ6_spl),
% 0.09/0.59 inference(backward_subsumption_resolution,[status(thm)],[f115,f174])).
% 0.09/0.59 fof(f248,plain,(
% 0.09/0.59 ~sQ12_spl|~sQ6_spl),
% 0.09/0.59 inference(contradiction_clause,[status(thm)],[f247])).
% 0.09/0.59 fof(f249,plain,(
% 0.09/0.59 $false),
% 0.09/0.59 inference(sat_refutation,[status(thm)],[f93,f94,f99,f101,f103,f109,f127,f143,f176,f182,f192,f197,f208,f242,f248])).
% 0.09/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.63 % Elapsed time: 0.054267 seconds
% 0.13/0.63 % CPU time: 0.151368 seconds
% 0.13/0.63 % Total memory used: 80.604 MB
% 0.13/0.63 % Net memory used: 80.393 MB
%------------------------------------------------------------------------------