%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS142+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 : n015.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 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS142+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n015.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:57:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36 fof(f8,axiom,(
% 0.09/0.36 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f9,axiom,(
% 0.09/0.36 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f10,axiom,(
% 0.09/0.36 (! [X] :( cc(X)=> ( (? [Y0] : rp(X,Y0))& (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f11,conjecture,(
% 0.09/0.36 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> (? [Y0] : rp(X,Y0) )))& (! [X] :( cc(X)=> (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) )) ),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f12,negated_conjecture,(
% 0.09/0.36 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> (? [Y0] : rp(X,Y0) )))& (! [X] :( cc(X)=> (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) )) )),
% 0.09/0.36 inference(negated_conjecture,[status(cth)],[f11])).
% 0.09/0.36 fof(f34,plain,(
% 0.09/0.36 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.36 fof(f35,plain,(
% 0.09/0.36 ![X0]: (cowlThing(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.36 fof(f36,plain,(
% 0.09/0.36 ![X0]: (~cowlNothing(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.36 fof(f37,plain,(
% 0.09/0.36 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.09/0.36 inference(NNF_transformation,[status(thm)],[f9])).
% 0.09/0.36 fof(f38,plain,(
% 0.09/0.36 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f37])).
% 0.09/0.36 fof(f39,plain,(
% 0.09/0.36 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.36 fof(f40,plain,(
% 0.09/0.36 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.36 fof(f41,plain,(
% 0.09/0.36 ![X]: (~cc(X)|((?[Y0]: rp(X,Y0))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.36 fof(f42,plain,(
% 0.09/0.36 ![X]: (~cc(X)|(rp(X,sK0_skl(X))&(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))))),
% 0.09/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y0,sK0_skl(X))],[f41])).
% 0.09/0.36 fof(f43,plain,(
% 0.09/0.36 ![X0]: (~cc(X0)|rp(X0,sK0_skl(X0)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.36 fof(f44,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~cc(X0)|~rp(X0,X1)|~rp(X0,X2)|X1=X2)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.36 fof(f45,plain,(
% 0.09/0.36 ((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cc(X)&(![Y0]: ~rp(X,Y0)))))|(?[X]: (cc(X)&(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.36 fof(f46,definition,(
% 0.09/0.36 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.36 fof(f47,definition,(
% 0.09/0.36 ![X]: (sP1_prd(X)<=>(cc(X)&(![Y0]: ~rp(X,Y0))))),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.09/0.36 fof(f48,plain,(
% 0.09/0.36 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: sP1_prd(X)))|(?[X]: (cc(X)&(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))))),
% 0.09/0.36 inference(formula_renaming,[status(thm)],[f45,f47,f46])).
% 0.09/0.36 fof(f49,plain,(
% 0.09/0.36 ((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: sP1_prd(X)))|(?[X]: (cc(X)&(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f48])).
% 0.09/0.36 fof(f50,plain,(
% 0.09/0.36 (((~cowlThing(sK1_skl)|cowlNothing(sK2_skl))|sP0_prd(sK3_skl))|sP1_prd(sK4_skl))|(cc(sK5_skl)&((rp(sK5_skl,sK6_skl)&rp(sK5_skl,sK7_skl))&~sK6_skl=sK7_skl))),
% 0.09/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(X,sK1_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)],[f49])).
% 0.09/0.36 fof(f51,plain,(
% 0.09/0.36 ~cowlThing(sK1_skl)|cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|cc(sK5_skl)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.36 fof(f52,plain,(
% 0.09/0.36 ~cowlThing(sK1_skl)|cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|rp(sK5_skl,sK6_skl)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.36 fof(f53,plain,(
% 0.09/0.36 ~cowlThing(sK1_skl)|cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|rp(sK5_skl,sK7_skl)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.36 fof(f54,plain,(
% 0.09/0.36 ~cowlThing(sK1_skl)|cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|~sK6_skl=sK7_skl),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.36 fof(f55,plain,(
% 0.09/0.36 ![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)))))),
% 0.09/0.36 inference(NNF_transformation,[status(thm)],[f46])).
% 0.09/0.36 fof(f56,plain,(
% 0.09/0.36 (![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)))))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f55])).
% 0.09/0.36 fof(f57,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f56])).
% 0.09/0.36 fof(f58,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f56])).
% 0.09/0.36 fof(f61,plain,(
% 0.09/0.36 ![X]: ((~sP1_prd(X)|(cc(X)&(![Y0]: ~rp(X,Y0))))&(sP1_prd(X)|(~cc(X)|(?[Y0]: rp(X,Y0)))))),
% 0.09/0.36 inference(NNF_transformation,[status(thm)],[f47])).
% 0.09/0.36 fof(f62,plain,(
% 0.09/0.36 (![X]: (~sP1_prd(X)|(cc(X)&(![Y0]: ~rp(X,Y0)))))&(![X]: (sP1_prd(X)|(~cc(X)|(?[Y0]: rp(X,Y0)))))),
% 0.09/0.36 inference(miniscoping,[status(thm)],[f61])).
% 0.09/0.36 fof(f63,plain,(
% 0.09/0.36 (![X]: (~sP1_prd(X)|(cc(X)&(![Y0]: ~rp(X,Y0)))))&(![X]: (sP1_prd(X)|(~cc(X)|rp(X,sK8_skl(X)))))),
% 0.09/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y0,sK8_skl(X))],[f62])).
% 0.09/0.36 fof(f64,plain,(
% 0.09/0.36 ![X0]: (~sP1_prd(X0)|cc(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f63])).
% 0.09/0.36 fof(f65,plain,(
% 0.09/0.36 ![X0,X1]: (~sP1_prd(X0)|~rp(X0,X1))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f63])).
% 0.09/0.36 fof(f67,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|cc(sK5_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f51,f35])).
% 0.09/0.36 fof(f68,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|rp(sK5_skl,sK6_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f52,f35])).
% 0.09/0.36 fof(f69,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|rp(sK5_skl,sK7_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f53,f35])).
% 0.09/0.36 fof(f70,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP0_prd(sK3_skl)|sP1_prd(sK4_skl)|~sK6_skl=sK7_skl),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f54,f35])).
% 0.09/0.36 fof(f71,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f57,f39])).
% 0.09/0.36 fof(f72,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0))),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f71,f73])).
% 0.09/0.36 fof(f73,plain,(
% 0.09/0.36 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f58,f40])).
% 0.09/0.36 fof(f74,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP1_prd(sK4_skl)|~sK6_skl=sK7_skl),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f70,f72])).
% 0.09/0.36 fof(f75,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP1_prd(sK4_skl)|rp(sK5_skl,sK7_skl)),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f69,f72])).
% 0.09/0.36 fof(f76,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP1_prd(sK4_skl)|rp(sK5_skl,sK6_skl)),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f68,f72])).
% 0.09/0.36 fof(f77,plain,(
% 0.09/0.36 cowlNothing(sK2_skl)|sP1_prd(sK4_skl)|cc(sK5_skl)),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f67,f72])).
% 0.09/0.36 fof(f78,plain,(
% 0.09/0.36 sP1_prd(sK4_skl)|~sK6_skl=sK7_skl),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f74,f36])).
% 0.09/0.36 fof(f79,plain,(
% 0.09/0.36 sP1_prd(sK4_skl)|rp(sK5_skl,sK7_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f75,f36])).
% 0.09/0.36 fof(f80,plain,(
% 0.09/0.36 sP1_prd(sK4_skl)|rp(sK5_skl,sK6_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f76,f36])).
% 0.09/0.36 fof(f81,plain,(
% 0.09/0.36 sP1_prd(sK4_skl)|cc(sK5_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f77,f36])).
% 0.09/0.36 fof(f83,plain,(
% 0.09/0.36 ![X0,X1]: (~rp(sK5_skl,X0)|~rp(sK5_skl,X1)|X0=X1|sP1_prd(sK4_skl))),
% 0.09/0.36 inference(resolution,[status(thm)],[f44,f81])).
% 0.09/0.36 fof(f85,plain,(
% 0.09/0.36 ![X0]: (~rp(sK5_skl,X0)|X0=sK6_skl|sP1_prd(sK4_skl)|sP1_prd(sK4_skl))),
% 0.09/0.36 inference(resolution,[status(thm)],[f83,f80])).
% 0.09/0.36 fof(f88,plain,(
% 0.09/0.36 ![X0]: (~rp(sK5_skl,X0)|X0=sK6_skl|sP1_prd(sK4_skl))),
% 0.09/0.36 inference(duplicate_literals_removal,[status(thm)],[f85])).
% 0.09/0.36 fof(f92,plain,(
% 0.09/0.36 sK7_skl=sK6_skl|sP1_prd(sK4_skl)|sP1_prd(sK4_skl)),
% 0.09/0.36 inference(resolution,[status(thm)],[f88,f79])).
% 0.09/0.36 fof(f94,plain,(
% 0.09/0.36 sK7_skl=sK6_skl|sP1_prd(sK4_skl)),
% 0.09/0.36 inference(duplicate_literals_removal,[status(thm)],[f92])).
% 0.09/0.36 fof(f95,plain,(
% 0.09/0.36 sP1_prd(sK4_skl)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f94,f78])).
% 0.09/0.36 fof(f98,plain,(
% 0.09/0.36 ![X0]: (rp(X0,sK0_skl(X0))|~sP1_prd(X0))),
% 0.09/0.36 inference(resolution,[status(thm)],[f43,f64])).
% 0.09/0.36 fof(f101,plain,(
% 0.09/0.36 ![X0]: (~sP1_prd(X0))),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f98,f65])).
% 0.09/0.36 fof(f102,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f95,f101])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.034585 seconds
% 0.12/0.39 % CPU time: 0.067881 seconds
% 0.12/0.39 % Total memory used: 10.079 MB
% 0.12/0.39 % Net memory used: 10.049 MB
%------------------------------------------------------------------------------