%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS132+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 : n018.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 01:00:18 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS132+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
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 22:56:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.35 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (! [X] :( cA(X)<=> (? [Y] :( rq(X,Y)& cowlThing(Y) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (! [X] :( cAorB(X)<=> (? [Y] :( rs(X,Y)& cowlThing(Y) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (! [X] :( cB(X)<=> (? [Y] :( rr(X,Y)& cowlThing(Y) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,axiom,(
% 0.11/0.38 (! [X] :( cNothing(X)=> (? [Y0] : rp(X,Y0) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (! [X] :( cNothing(X)=> ~ (? [Y] : rp(X,Y) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,axiom,(
% 0.11/0.38 (! [X] :( cnotA(X)<=> (! [Y] :( rq(X,Y)=> cNothing(Y) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,axiom,(
% 0.11/0.38 (! [X] :( cnotAorB(X)<=> (! [Y] :( rs(X,Y)=> cNothing(Y) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f10,axiom,(
% 0.11/0.38 (! [X] :( cnotAorB(X)<=> ( cnotB(X)& cnotA(X) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f11,axiom,(
% 0.11/0.38 (! [X] :( cnotB(X)<=> (! [Y] :( rr(X,Y)=> cNothing(Y) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f12,conjecture,(
% 0.11/0.38 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cAorB(X)<=> ( cB(X)| cA(X) ) ) )) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f13,negated_conjecture,(
% 0.11/0.38 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cAorB(X)<=> ( cB(X)| cA(X) ) ) )) )),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.11/0.38 fof(f14,plain,(
% 0.11/0.38 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 ![X0]: (cowlThing(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ![X0]: (~cowlNothing(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.38 fof(f17,plain,(
% 0.11/0.38 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f18,plain,(
% 0.11/0.38 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f17])).
% 0.11/0.38 fof(f19,plain,(
% 0.11/0.38 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.38 fof(f20,plain,(
% 0.11/0.38 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.38 fof(f21,plain,(
% 0.11/0.38 ![X]: ((~cA(X)|(?[Y]: (rq(X,Y)&cowlThing(Y))))&(cA(X)|(![Y]: (~rq(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 (![X]: (~cA(X)|(?[Y]: (rq(X,Y)&cowlThing(Y)))))&(![X]: (cA(X)|(![Y]: (~rq(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f21])).
% 0.11/0.38 fof(f23,plain,(
% 0.11/0.38 (![X]: (~cA(X)|(rq(X,sK0_skl(X))&cowlThing(sK0_skl(X)))))&(![X]: (cA(X)|(![Y]: (~rq(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f22])).
% 0.11/0.38 fof(f24,plain,(
% 0.11/0.38 ![X0]: (~cA(X0)|rq(X0,sK0_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.38 fof(f26,plain,(
% 0.11/0.38 ![X0,X1]: (cA(X0)|~rq(X0,X1)|~cowlThing(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.38 fof(f27,plain,(
% 0.11/0.38 ![X]: ((~cAorB(X)|(?[Y]: (rs(X,Y)&cowlThing(Y))))&(cAorB(X)|(![Y]: (~rs(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f28,plain,(
% 0.11/0.38 (![X]: (~cAorB(X)|(?[Y]: (rs(X,Y)&cowlThing(Y)))))&(![X]: (cAorB(X)|(![Y]: (~rs(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f27])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 (![X]: (~cAorB(X)|(rs(X,sK1_skl(X))&cowlThing(sK1_skl(X)))))&(![X]: (cAorB(X)|(![Y]: (~rs(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f28])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ![X0]: (~cAorB(X0)|rs(X0,sK1_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![X0,X1]: (cAorB(X0)|~rs(X0,X1)|~cowlThing(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 ![X]: ((~cB(X)|(?[Y]: (rr(X,Y)&cowlThing(Y))))&(cB(X)|(![Y]: (~rr(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f34,plain,(
% 0.11/0.38 (![X]: (~cB(X)|(?[Y]: (rr(X,Y)&cowlThing(Y)))))&(![X]: (cB(X)|(![Y]: (~rr(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f33])).
% 0.11/0.38 fof(f35,plain,(
% 0.11/0.38 (![X]: (~cB(X)|(rr(X,sK2_skl(X))&cowlThing(sK2_skl(X)))))&(![X]: (cB(X)|(![Y]: (~rr(X,Y)|~cowlThing(Y)))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f34])).
% 0.11/0.38 fof(f36,plain,(
% 0.11/0.38 ![X0]: (~cB(X0)|rr(X0,sK2_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ![X0,X1]: (cB(X0)|~rr(X0,X1)|~cowlThing(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/0.38 fof(f39,plain,(
% 0.11/0.38 ![X]: (~cNothing(X)|(?[Y0]: rp(X,Y0)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 ![X]: (~cNothing(X)|rp(X,sK3_skl(X)))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f39])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 ![X0]: (~cNothing(X0)|rp(X0,sK3_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.38 fof(f42,plain,(
% 0.11/0.38 ![X]: (~cNothing(X)|(![Y]: ~rp(X,Y)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f43,plain,(
% 0.11/0.38 ![X0,X1]: (~cNothing(X0)|~rp(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.38 fof(f44,plain,(
% 0.11/0.38 ![X]: (cnotA(X)<=>(![Y]: (~rq(X,Y)|cNothing(Y))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.11/0.38 fof(f45,plain,(
% 0.11/0.38 ![X]: ((~cnotA(X)|(![Y]: (~rq(X,Y)|cNothing(Y))))&(cnotA(X)|(?[Y]: (rq(X,Y)&~cNothing(Y)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f44])).
% 0.11/0.38 fof(f46,plain,(
% 0.11/0.38 (![X]: (~cnotA(X)|(![Y]: (~rq(X,Y)|cNothing(Y)))))&(![X]: (cnotA(X)|(?[Y]: (rq(X,Y)&~cNothing(Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f45])).
% 0.11/0.38 fof(f47,plain,(
% 0.11/0.38 (![X]: (~cnotA(X)|(![Y]: (~rq(X,Y)|cNothing(Y)))))&(![X]: (cnotA(X)|(rq(X,sK4_skl(X))&~cNothing(sK4_skl(X)))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f46])).
% 0.11/0.38 fof(f48,plain,(
% 0.11/0.38 ![X0,X1]: (~cnotA(X0)|~rq(X0,X1)|cNothing(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.38 fof(f49,plain,(
% 0.11/0.38 ![X0]: (cnotA(X0)|rq(X0,sK4_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.38 fof(f51,plain,(
% 0.11/0.38 ![X]: (cnotAorB(X)<=>(![Y]: (~rs(X,Y)|cNothing(Y))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.11/0.38 fof(f52,plain,(
% 0.11/0.38 ![X]: ((~cnotAorB(X)|(![Y]: (~rs(X,Y)|cNothing(Y))))&(cnotAorB(X)|(?[Y]: (rs(X,Y)&~cNothing(Y)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f51])).
% 0.11/0.38 fof(f53,plain,(
% 0.11/0.38 (![X]: (~cnotAorB(X)|(![Y]: (~rs(X,Y)|cNothing(Y)))))&(![X]: (cnotAorB(X)|(?[Y]: (rs(X,Y)&~cNothing(Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f52])).
% 0.11/0.38 fof(f54,plain,(
% 0.11/0.38 (![X]: (~cnotAorB(X)|(![Y]: (~rs(X,Y)|cNothing(Y)))))&(![X]: (cnotAorB(X)|(rs(X,sK5_skl(X))&~cNothing(sK5_skl(X)))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f53])).
% 0.11/0.38 fof(f55,plain,(
% 0.11/0.38 ![X0,X1]: (~cnotAorB(X0)|~rs(X0,X1)|cNothing(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f54])).
% 0.11/0.38 fof(f56,plain,(
% 0.11/0.38 ![X0]: (cnotAorB(X0)|rs(X0,sK5_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f54])).
% 0.11/0.38 fof(f58,plain,(
% 0.11/0.38 ![X]: ((~cnotAorB(X)|(cnotB(X)&cnotA(X)))&(cnotAorB(X)|(~cnotB(X)|~cnotA(X))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f10])).
% 0.11/0.38 fof(f59,plain,(
% 0.11/0.38 (![X]: (~cnotAorB(X)|(cnotB(X)&cnotA(X))))&(![X]: (cnotAorB(X)|(~cnotB(X)|~cnotA(X))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f58])).
% 0.11/0.38 fof(f60,plain,(
% 0.11/0.38 ![X0]: (~cnotAorB(X0)|cnotB(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f59])).
% 0.11/0.38 fof(f61,plain,(
% 0.11/0.38 ![X0]: (~cnotAorB(X0)|cnotA(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f59])).
% 0.11/0.38 fof(f62,plain,(
% 0.11/0.38 ![X0]: (cnotAorB(X0)|~cnotB(X0)|~cnotA(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f59])).
% 0.11/0.38 fof(f63,plain,(
% 0.11/0.38 ![X]: (cnotB(X)<=>(![Y]: (~rr(X,Y)|cNothing(Y))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/0.38 fof(f64,plain,(
% 0.11/0.38 ![X]: ((~cnotB(X)|(![Y]: (~rr(X,Y)|cNothing(Y))))&(cnotB(X)|(?[Y]: (rr(X,Y)&~cNothing(Y)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f63])).
% 0.11/0.38 fof(f65,plain,(
% 0.11/0.38 (![X]: (~cnotB(X)|(![Y]: (~rr(X,Y)|cNothing(Y)))))&(![X]: (cnotB(X)|(?[Y]: (rr(X,Y)&~cNothing(Y)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f64])).
% 0.11/0.38 fof(f66,plain,(
% 0.11/0.38 (![X]: (~cnotB(X)|(![Y]: (~rr(X,Y)|cNothing(Y)))))&(![X]: (cnotB(X)|(rr(X,sK6_skl(X))&~cNothing(sK6_skl(X)))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f65])).
% 0.11/0.38 fof(f67,plain,(
% 0.11/0.38 ![X0,X1]: (~cnotB(X0)|~rr(X0,X1)|cNothing(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.38 fof(f68,plain,(
% 0.11/0.38 ![X0]: (cnotB(X0)|rr(X0,sK6_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.38 fof(f70,plain,(
% 0.11/0.38 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cAorB(X)<~>(cB(X)|cA(X)))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.11/0.38 fof(f71,definition,(
% 0.11/0.38 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.11/0.38 fof(f72,plain,(
% 0.11/0.38 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (cAorB(X)<~>(cB(X)|cA(X))))),
% 0.11/0.38 inference(formula_renaming,[status(thm)],[f70,f71])).
% 0.11/0.38 fof(f73,plain,(
% 0.11/0.38 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cAorB(X)|(cB(X)|cA(X)))&(~cAorB(X)|(~cB(X)&~cA(X)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f72])).
% 0.11/0.38 fof(f74,plain,(
% 0.11/0.38 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cAorB(X)|(cB(X)|cA(X)))&(~cAorB(X)|(~cB(X)&~cA(X)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f73])).
% 0.11/0.38 fof(f75,plain,(
% 0.11/0.38 ((~cowlThing(sK7_skl)|cowlNothing(sK8_skl))|sP0_prd(sK9_skl))|((cAorB(sK10_skl)|(cB(sK10_skl)|cA(sK10_skl)))&(~cAorB(sK10_skl)|(~cB(sK10_skl)&~cA(sK10_skl))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(X,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl),skolemize(X,sK10_skl)],[f74])).
% 0.11/0.38 fof(f76,plain,(
% 0.11/0.38 ~cowlThing(sK7_skl)|cowlNothing(sK8_skl)|sP0_prd(sK9_skl)|cAorB(sK10_skl)|cB(sK10_skl)|cA(sK10_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f75])).
% 0.11/0.38 fof(f77,plain,(
% 0.11/0.38 ~cowlThing(sK7_skl)|cowlNothing(sK8_skl)|sP0_prd(sK9_skl)|~cAorB(sK10_skl)|~cB(sK10_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f75])).
% 0.11/0.38 fof(f78,plain,(
% 0.11/0.38 ~cowlThing(sK7_skl)|cowlNothing(sK8_skl)|sP0_prd(sK9_skl)|~cAorB(sK10_skl)|~cA(sK10_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f75])).
% 0.11/0.38 fof(f79,plain,(
% 0.11/0.38 ![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)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f71])).
% 0.11/0.38 fof(f80,plain,(
% 0.11/0.38 (![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)))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f79])).
% 0.11/0.38 fof(f81,plain,(
% 0.11/0.38 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f80])).
% 0.11/0.38 fof(f82,plain,(
% 0.11/0.38 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f80])).
% 0.11/0.38 fof(f85,definition,(
% 0.11/0.38 sQ0_spl <=> (cowlThing(sK7_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f87,plain,(
% 0.11/0.38 ~cowlThing(sK7_skl)|sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.38 fof(f88,definition,(
% 0.11/0.38 sQ1_spl <=> (cowlNothing(sK8_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f89,plain,(
% 0.11/0.38 cowlNothing(sK8_skl)|~sQ1_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f88])).
% 0.11/0.38 fof(f91,definition,(
% 0.11/0.38 sQ2_spl <=> (sP0_prd(sK9_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f92,plain,(
% 0.11/0.38 sP0_prd(sK9_skl)|~sQ2_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f91])).
% 0.11/0.38 fof(f94,definition,(
% 0.11/0.38 sQ3_spl <=> (cAorB(sK10_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f95,plain,(
% 0.11/0.38 cAorB(sK10_skl)|~sQ3_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.38 fof(f96,plain,(
% 0.11/0.38 ~cAorB(sK10_skl)|sQ3_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.38 fof(f97,definition,(
% 0.11/0.38 sQ4_spl <=> (cB(sK10_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f98,plain,(
% 0.11/0.38 cB(sK10_skl)|~sQ4_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.38 fof(f100,definition,(
% 0.11/0.38 sQ5_spl <=> (cA(sK10_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f101,plain,(
% 0.11/0.38 cA(sK10_skl)|~sQ5_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f100])).
% 0.11/0.38 fof(f103,plain,(
% 0.11/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl|sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f76,f85,f88,f91,f94,f97,f100])).
% 0.11/0.38 fof(f104,plain,(
% 0.11/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f77,f85,f88,f91,f94,f97])).
% 0.11/0.38 fof(f105,plain,(
% 0.11/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f78,f85,f88,f91,f94,f100])).
% 0.11/0.38 fof(f106,plain,(
% 0.11/0.38 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f81,f19])).
% 0.11/0.38 fof(f107,plain,(
% 0.11/0.38 ![X0]: (~sP0_prd(X0)|~xsd_string(X0))),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f82,f19])).
% 0.11/0.38 fof(f109,plain,(
% 0.11/0.38 ![X0]: (~sP0_prd(X0)|xsd_string(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f106,f20])).
% 0.11/0.38 fof(f110,plain,(
% 0.11/0.38 $false|~sQ2_spl),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f92,f111])).
% 0.11/0.38 fof(f111,plain,(
% 0.11/0.38 ![X0]: (~sP0_prd(X0))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f109,f107])).
% 0.11/0.38 fof(f112,plain,(
% 0.11/0.38 ~sQ2_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f110])).
% 0.11/0.38 fof(f113,plain,(
% 0.11/0.38 $false|~sQ1_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f89,f16])).
% 0.11/0.38 fof(f114,plain,(
% 0.11/0.38 ~sQ1_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f113])).
% 0.11/0.38 fof(f115,plain,(
% 0.11/0.38 $false|sQ0_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f87,f15])).
% 0.11/0.38 fof(f116,plain,(
% 0.11/0.38 sQ0_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f115])).
% 0.11/0.38 fof(f117,plain,(
% 0.11/0.38 ![X0,X1]: (cA(X0)|~rq(X0,X1))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f26,f15])).
% 0.11/0.38 fof(f118,plain,(
% 0.11/0.38 ![X0,X1]: (cAorB(X0)|~rs(X0,X1))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f32,f15])).
% 0.11/0.38 fof(f119,plain,(
% 0.11/0.38 ![X0]: (~cNothing(X0))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f41,f43])).
% 0.11/0.38 fof(f120,plain,(
% 0.11/0.38 ![X0]: (cnotA(X0)|cA(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f49,f117])).
% 0.11/0.38 fof(f121,plain,(
% 0.11/0.38 ![X0]: (cnotAorB(X0)|cAorB(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f56,f118])).
% 0.11/0.38 fof(f122,plain,(
% 0.11/0.38 ![X0]: (cAorB(X0)|cnotA(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f121,f61])).
% 0.11/0.38 fof(f123,plain,(
% 0.11/0.38 ![X0,X1]: (cB(X0)|~rr(X0,X1))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f38,f15])).
% 0.11/0.38 fof(f125,plain,(
% 0.11/0.38 ![X0,X1]: (~cnotA(X0)|~rq(X0,X1))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f48,f119])).
% 0.11/0.38 fof(f128,plain,(
% 0.11/0.38 ![X0]: (cnotB(X0)|cB(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f68,f123])).
% 0.11/0.38 fof(f129,plain,(
% 0.11/0.38 ![X0]: (cB(X0)|cnotAorB(X0)|~cnotA(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f128,f62])).
% 0.11/0.38 fof(f131,plain,(
% 0.11/0.38 ![X0,X1]: (~cnotAorB(X0)|~rs(X0,X1))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f55,f119])).
% 0.11/0.38 fof(f133,plain,(
% 0.11/0.38 ![X0,X1]: (~cnotB(X0)|~rr(X0,X1))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f67,f119])).
% 0.11/0.38 fof(f135,plain,(
% 0.11/0.38 ![X0,X1]: (~rr(X0,X1)|~cnotAorB(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f133,f60])).
% 0.11/0.38 fof(f137,plain,(
% 0.11/0.38 ![X0,X1]: (~rr(X0,X1)|cAorB(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f135,f121])).
% 0.11/0.38 fof(f139,plain,(
% 0.11/0.38 ![X0]: (cAorB(X0)|~cB(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f137,f36])).
% 0.11/0.38 fof(f142,plain,(
% 0.11/0.38 cAorB(sK10_skl)|~sQ4_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f139,f98])).
% 0.11/0.38 fof(f143,plain,(
% 0.11/0.38 $false|sQ3_spl|~sQ4_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f142,f96])).
% 0.11/0.38 fof(f144,plain,(
% 0.11/0.38 sQ3_spl|~sQ4_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f143])).
% 0.11/0.38 fof(f145,plain,(
% 0.11/0.38 rs(sK10_skl,sK1_skl(sK10_skl))|~sQ3_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f95,f30])).
% 0.11/0.38 fof(f146,plain,(
% 0.11/0.38 ~cnotAorB(sK10_skl)|~sQ3_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f145,f131])).
% 0.11/0.38 fof(f148,plain,(
% 0.11/0.38 cB(sK10_skl)|~cnotA(sK10_skl)|~sQ3_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f146,f129])).
% 0.11/0.38 fof(f150,definition,(
% 0.11/0.38 sQ6_spl <=> (cnotA(sK10_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f152,plain,(
% 0.11/0.38 ~cnotA(sK10_skl)|sQ6_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f150])).
% 0.11/0.38 fof(f153,plain,(
% 0.11/0.38 sQ4_spl|~sQ6_spl|~sQ3_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f148,f97,f150,f94])).
% 0.11/0.38 fof(f154,plain,(
% 0.11/0.38 rq(sK10_skl,sK0_skl(sK10_skl))|~sQ5_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f101,f24])).
% 0.11/0.38 fof(f155,plain,(
% 0.11/0.38 ~cnotA(sK10_skl)|~sQ5_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f154,f125])).
% 0.11/0.38 fof(f157,plain,(
% 0.11/0.38 cAorB(sK10_skl)|~sQ5_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f155,f122])).
% 0.11/0.38 fof(f159,plain,(
% 0.11/0.38 sQ3_spl|~sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f157,f94,f100])).
% 0.11/0.38 fof(f161,plain,(
% 0.11/0.38 cA(sK10_skl)|sQ6_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f152,f120])).
% 0.11/0.38 fof(f162,plain,(
% 0.11/0.38 sQ5_spl|sQ6_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f161,f100,f150])).
% 0.11/0.38 fof(f163,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f103,f104,f105,f112,f114,f116,f144,f153,f159,f162])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.050339 seconds
% 0.11/0.40 % CPU time: 0.121189 seconds
% 0.11/0.40 % Total memory used: 17.596 MB
% 0.11/0.40 % Net memory used: 17.349 MB
%------------------------------------------------------------------------------