%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS172+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 : n003.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 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS172+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
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:57:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f10,axiom,(
% 0.14/0.39 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,axiom,(
% 0.14/0.39 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,axiom,(
% 0.14/0.39 (! [X] :( cd(X)<=> rq(X,iv) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,axiom,(
% 0.14/0.39 (! [X] :( cd(X)<=> rp(X,iv) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 (! [X,Y,Z] :( ( rp(X,Y)& rp(X,Z) )=> Y = Z ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,axiom,(
% 0.14/0.39 (! [X,Y] :( rp(X,Y)=> cd(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,axiom,(
% 0.14/0.39 (! [X,Y,Z] :( ( rq(X,Y)& rq(X,Z) )=> Y = Z ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,axiom,(
% 0.14/0.39 (! [X,Y] :( rq(X,Y)=> cd(X) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,conjecture,(
% 0.14/0.39 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( rq(X,Y)<=> rp(X,Y) ) )) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( rq(X,Y)<=> rp(X,Y) ) )) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f19])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 ![X0]: (cowlThing(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 ![X0]: (~cowlNothing(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f51])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 ![X]: ((~cd(X)|rq(X,iv))&(cd(X)|~rq(X,iv)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 (![X]: (~cd(X)|rq(X,iv)))&(![X]: (cd(X)|~rq(X,iv)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f55])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 ![X0]: (~cd(X0)|rq(X0,iv))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 ![X]: ((~cd(X)|rp(X,iv))&(cd(X)|~rp(X,iv)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 (![X]: (~cd(X)|rp(X,iv)))&(![X]: (cd(X)|~rp(X,iv)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f59])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 ![X0]: (~cd(X0)|rp(X0,iv))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 ![X,Y,Z]: ((~rp(X,Y)|~rp(X,Z))|Y=Z)),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 ![Y,Z]: ((![X]: (~rp(X,Y)|~rp(X,Z)))|Y=Z)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f63])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~rp(X0,X1)|~rp(X0,X2)|X1=X2)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 ![X,Y]: (~rp(X,Y)|cd(X))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 ![X]: ((![Y]: ~rp(X,Y))|cd(X))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f66])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X0,X1]: (~rp(X0,X1)|cd(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 ![X,Y,Z]: ((~rq(X,Y)|~rq(X,Z))|Y=Z)),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 ![Y,Z]: ((![X]: (~rq(X,Y)|~rq(X,Z)))|Y=Z)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f69])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~rq(X0,X1)|~rq(X0,X2)|X1=X2)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f70])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 ![X,Y]: (~rq(X,Y)|cd(X))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f73,plain,(
% 0.14/0.39 ![X]: ((![Y]: ~rq(X,Y))|cd(X))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f72])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 ![X0,X1]: (~rq(X0,X1)|cd(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f73])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X,Y]: (rq(X,Y)<~>rp(X,Y))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f77,definition,(
% 0.14/0.39 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: (rq(X,Y)<~>rp(X,Y)))),
% 0.14/0.39 inference(formula_renaming,[status(thm)],[f76,f77])).
% 0.14/0.39 fof(f79,plain,(
% 0.14/0.39 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: ((rq(X,Y)|rp(X,Y))&(~rq(X,Y)|~rp(X,Y))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f78])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: ((rq(X,Y)|rp(X,Y))&(~rq(X,Y)|~rp(X,Y))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f79])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 ((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|sP0_prd(sK2_skl))|((rq(sK3_skl,sK4_skl)|rp(sK3_skl,sK4_skl))&(~rq(sK3_skl,sK4_skl)|~rp(sK3_skl,sK4_skl)))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(Y,sK4_skl)],[f80])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|rq(sK3_skl,sK4_skl)|rp(sK3_skl,sK4_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.39 fof(f83,plain,(
% 0.14/0.39 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|~rq(sK3_skl,sK4_skl)|~rp(sK3_skl,sK4_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.39 fof(f84,plain,(
% 0.14/0.39 ![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)))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f77])).
% 0.14/0.39 fof(f85,plain,(
% 0.14/0.39 (![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)))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f84])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.14/0.39 fof(f87,plain,(
% 0.14/0.39 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.14/0.39 fof(f90,definition,(
% 0.14/0.39 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f92,plain,(
% 0.14/0.39 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.39 fof(f93,definition,(
% 0.14/0.39 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.39 fof(f96,definition,(
% 0.14/0.39 sQ2_spl <=> (sP0_prd(sK2_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f97,plain,(
% 0.14/0.39 sP0_prd(sK2_skl)|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f96])).
% 0.14/0.39 fof(f99,definition,(
% 0.14/0.39 sQ3_spl <=> (rq(sK3_skl,sK4_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 rq(sK3_skl,sK4_skl)|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.39 fof(f102,definition,(
% 0.14/0.39 sQ4_spl <=> (rp(sK3_skl,sK4_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f103,plain,(
% 0.14/0.39 rp(sK3_skl,sK4_skl)|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 ~rp(sK3_skl,sK4_skl)|sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f82,f90,f93,f96,f99,f102])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f83,f90,f93,f96,f99,f102])).
% 0.14/0.40 fof(f107,plain,(
% 0.14/0.40 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f86,f53])).
% 0.14/0.40 fof(f108,plain,(
% 0.14/0.40 ![X0]: (~sP0_prd(X0))),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f107,f109])).
% 0.14/0.40 fof(f109,plain,(
% 0.14/0.40 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f87,f54])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 $false|~sQ2_spl),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f97,f108])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 ~sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f110])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 $false|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f94,f50])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 ~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f112])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 $false|sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f92,f49])).
% 0.14/0.40 fof(f115,plain,(
% 0.14/0.40 sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f114])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 cd(sK3_skl)|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f74,f100])).
% 0.14/0.40 fof(f117,plain,(
% 0.14/0.40 ![X0]: (~rq(sK3_skl,X0)|X0=sK4_skl|~sQ3_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f71,f100])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 rp(sK3_skl,iv)|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f116,f61])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 rq(sK3_skl,iv)|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f116,f57])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 iv=sK4_skl|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f117,f120])).
% 0.14/0.40 fof(f128,plain,(
% 0.14/0.40 rp(sK3_skl,sK4_skl)|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f125,f119])).
% 0.14/0.40 fof(f133,plain,(
% 0.14/0.40 $false|sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f128,f104])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f133])).
% 0.14/0.40 fof(f135,plain,(
% 0.14/0.40 cd(sK3_skl)|~sQ4_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f103,f68])).
% 0.14/0.40 fof(f136,plain,(
% 0.14/0.40 ![X0]: (~rp(sK3_skl,X0)|X0=sK4_skl|~sQ4_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f103,f65])).
% 0.14/0.40 fof(f138,plain,(
% 0.14/0.40 rp(sK3_skl,iv)|~sQ4_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f61,f135])).
% 0.14/0.40 fof(f139,plain,(
% 0.14/0.40 iv=sK4_skl|~sQ4_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f138,f136])).
% 0.14/0.40 fof(f144,plain,(
% 0.14/0.40 ![X0]: (~cd(X0)|rq(X0,sK4_skl)|~sQ4_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f139,f57])).
% 0.14/0.40 fof(f147,plain,(
% 0.14/0.40 rq(sK3_skl,sK4_skl)|~sQ4_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f144,f135])).
% 0.14/0.40 fof(f148,plain,(
% 0.14/0.40 sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f147,f99,f102])).
% 0.14/0.40 fof(f149,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f105,f106,f111,f113,f115,f134,f148])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.050698 seconds
% 0.14/0.42 % CPU time: 0.154264 seconds
% 0.14/0.42 % Total memory used: 80.451 MB
% 0.14/0.42 % Net memory used: 80.237 MB
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