%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS131+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 : n006.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 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS131+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
% 0.09/0.36 % Computer : n006.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 22:54:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (! [X] :( cA(X)<=> (? [Y] :( rq(X,Y)& cowlThing(Y) ) )) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (! [X] :( cNothing(X)=> ~ (? [Y] : rp(X,Y) )) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,axiom,(
% 0.09/0.37 (! [X] :( cNothing(X)=> (? [Y0] : rp(X,Y0) )) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,axiom,(
% 0.09/0.37 (! [X] :( cnotA(X)<=> (! [Y] :( rq(X,Y)=> cNothing(Y) ) )) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f7,conjecture,(
% 0.09/0.37 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cnotA(X)<=> ~ cA(X) ) )) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f8,negated_conjecture,(
% 0.09/0.37 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cnotA(X)<=> ~ cA(X) ) )) )),
% 0.09/0.37 inference(negated_conjecture,[status(cth)],[f7])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0]: (cowlThing(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ![X0]: (~cowlNothing(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f12])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 ![X]: ((~cA(X)|(?[Y]: (rq(X,Y)&cowlThing(Y))))&(cA(X)|(![Y]: (~rq(X,Y)|~cowlThing(Y)))))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 (![X]: (~cA(X)|(?[Y]: (rq(X,Y)&cowlThing(Y)))))&(![X]: (cA(X)|(![Y]: (~rq(X,Y)|~cowlThing(Y)))))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f16])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 (![X]: (~cA(X)|(rq(X,sK0_skl(X))&cowlThing(sK0_skl(X)))))&(![X]: (cA(X)|(![Y]: (~rq(X,Y)|~cowlThing(Y)))))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f17])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0]: (~cA(X0)|rq(X0,sK0_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ![X0,X1]: (cA(X0)|~rq(X0,X1)|~cowlThing(X1))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.37 fof(f22,plain,(
% 0.09/0.37 ![X]: (~cNothing(X)|(![Y]: ~rp(X,Y)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 ![X0,X1]: (~cNothing(X0)|~rp(X0,X1))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X]: (~cNothing(X)|(?[Y0]: rp(X,Y0)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f25,plain,(
% 0.09/0.37 ![X]: (~cNothing(X)|rp(X,sK1_skl(X)))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f24])).
% 0.09/0.37 fof(f26,plain,(
% 0.09/0.37 ![X0]: (~cNothing(X0)|rp(X0,sK1_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.37 fof(f27,plain,(
% 0.09/0.37 ![X]: (cnotA(X)<=>(![Y]: (~rq(X,Y)|cNothing(Y))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f28,plain,(
% 0.09/0.37 ![X]: ((~cnotA(X)|(![Y]: (~rq(X,Y)|cNothing(Y))))&(cnotA(X)|(?[Y]: (rq(X,Y)&~cNothing(Y)))))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f27])).
% 0.09/0.37 fof(f29,plain,(
% 0.09/0.37 (![X]: (~cnotA(X)|(![Y]: (~rq(X,Y)|cNothing(Y)))))&(![X]: (cnotA(X)|(?[Y]: (rq(X,Y)&~cNothing(Y)))))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f28])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 (![X]: (~cnotA(X)|(![Y]: (~rq(X,Y)|cNothing(Y)))))&(![X]: (cnotA(X)|(rq(X,sK2_skl(X))&~cNothing(sK2_skl(X)))))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f29])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0,X1]: (~cnotA(X0)|~rq(X0,X1)|cNothing(X1))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.37 fof(f32,plain,(
% 0.09/0.37 ![X0]: (cnotA(X0)|rq(X0,sK2_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cnotA(X)<~>~cA(X))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.37 fof(f35,definition,(
% 0.09/0.37 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.37 fof(f36,plain,(
% 0.09/0.37 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: (cnotA(X)<~>~cA(X)))),
% 0.09/0.37 inference(formula_renaming,[status(thm)],[f34,f35])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cnotA(X)|~cA(X))&(~cnotA(X)|cA(X))))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f36])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X]: ((cnotA(X)|~cA(X))&(~cnotA(X)|cA(X))))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f37])).
% 0.09/0.37 fof(f39,plain,(
% 0.09/0.37 ((~cowlThing(sK3_skl)|cowlNothing(sK4_skl))|sP0_prd(sK5_skl))|((cnotA(sK6_skl)|~cA(sK6_skl))&(~cnotA(sK6_skl)|cA(sK6_skl)))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK3_skl),skolemize(X,sK4_skl),skolemize(X,sK5_skl),skolemize(X,sK6_skl)],[f38])).
% 0.09/0.37 fof(f40,plain,(
% 0.09/0.37 ~cowlThing(sK3_skl)|cowlNothing(sK4_skl)|sP0_prd(sK5_skl)|cnotA(sK6_skl)|~cA(sK6_skl)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.37 fof(f41,plain,(
% 0.09/0.37 ~cowlThing(sK3_skl)|cowlNothing(sK4_skl)|sP0_prd(sK5_skl)|~cnotA(sK6_skl)|cA(sK6_skl)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.37 fof(f42,plain,(
% 0.09/0.37 ![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)))))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f35])).
% 0.09/0.37 fof(f43,plain,(
% 0.09/0.37 (![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)))))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f42])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.37 fof(f45,plain,(
% 0.09/0.37 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.37 fof(f48,definition,(
% 0.09/0.37 sQ0_spl <=> (cowlThing(sK3_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f50,plain,(
% 0.09/0.37 ~cowlThing(sK3_skl)|sQ0_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f48])).
% 0.09/0.37 fof(f51,definition,(
% 0.09/0.37 sQ1_spl <=> (cowlNothing(sK4_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f52,plain,(
% 0.09/0.37 cowlNothing(sK4_skl)|~sQ1_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f51])).
% 0.09/0.37 fof(f54,definition,(
% 0.09/0.37 sQ2_spl <=> (sP0_prd(sK5_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 sP0_prd(sK5_skl)|~sQ2_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f54])).
% 0.09/0.37 fof(f57,definition,(
% 0.09/0.37 sQ3_spl <=> (cnotA(sK6_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f58,plain,(
% 0.09/0.37 cnotA(sK6_skl)|~sQ3_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f57])).
% 0.09/0.37 fof(f59,plain,(
% 0.09/0.37 ~cnotA(sK6_skl)|sQ3_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f57])).
% 0.09/0.37 fof(f60,definition,(
% 0.09/0.37 sQ4_spl <=> (cA(sK6_skl))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.37 fof(f61,plain,(
% 0.09/0.37 cA(sK6_skl)|~sQ4_spl),
% 0.09/0.37 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.37 fof(f63,plain,(
% 0.09/0.37 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ4_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f40,f48,f51,f54,f57,f60])).
% 0.09/0.37 fof(f64,plain,(
% 0.09/0.37 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|sQ4_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f41,f48,f51,f54,f57,f60])).
% 0.09/0.37 fof(f65,plain,(
% 0.09/0.37 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f44,f14])).
% 0.09/0.37 fof(f66,plain,(
% 0.09/0.37 ![X0]: (~sP0_prd(X0)|~xsd_string(X0))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f45,f14])).
% 0.09/0.37 fof(f68,plain,(
% 0.09/0.37 ![X0]: (~sP0_prd(X0)|xsd_string(X0))),
% 0.09/0.37 inference(resolution,[status(thm)],[f65,f15])).
% 0.09/0.37 fof(f69,plain,(
% 0.09/0.37 $false|~sQ2_spl),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f55,f70])).
% 0.09/0.37 fof(f70,plain,(
% 0.09/0.37 ![X0]: (~sP0_prd(X0))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f68,f66])).
% 0.09/0.37 fof(f71,plain,(
% 0.09/0.37 ~sQ2_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f69])).
% 0.09/0.37 fof(f72,plain,(
% 0.09/0.37 $false|~sQ1_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f52,f11])).
% 0.09/0.37 fof(f73,plain,(
% 0.09/0.37 ~sQ1_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f72])).
% 0.09/0.37 fof(f74,plain,(
% 0.09/0.37 $false|sQ0_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f50,f10])).
% 0.09/0.37 fof(f75,plain,(
% 0.09/0.37 sQ0_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f74])).
% 0.09/0.37 fof(f76,plain,(
% 0.09/0.37 ![X0]: (~cNothing(X0))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f26,f23])).
% 0.09/0.37 fof(f77,plain,(
% 0.09/0.37 ![X0,X1]: (cA(X0)|~rq(X0,X1))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f21,f10])).
% 0.09/0.37 fof(f78,plain,(
% 0.09/0.37 ![X0]: (cA(X0)|cnotA(X0))),
% 0.09/0.37 inference(resolution,[status(thm)],[f77,f32])).
% 0.09/0.37 fof(f80,plain,(
% 0.09/0.37 ![X0,X1]: (~cnotA(X0)|~rq(X0,X1))),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f31,f76])).
% 0.09/0.37 fof(f81,plain,(
% 0.09/0.37 ![X0]: (~rq(sK6_skl,X0)|~sQ3_spl)),
% 0.09/0.37 inference(resolution,[status(thm)],[f80,f58])).
% 0.09/0.37 fof(f84,plain,(
% 0.09/0.37 ~cA(sK6_skl)|~sQ3_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f81,f19])).
% 0.09/0.37 fof(f85,plain,(
% 0.09/0.37 $false|~sQ4_spl|~sQ3_spl),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f84,f61])).
% 0.09/0.37 fof(f86,plain,(
% 0.09/0.37 ~sQ4_spl|~sQ3_spl),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f85])).
% 0.09/0.37 fof(f87,plain,(
% 0.09/0.37 cA(sK6_skl)|sQ3_spl),
% 0.09/0.37 inference(resolution,[status(thm)],[f59,f78])).
% 0.09/0.37 fof(f88,plain,(
% 0.09/0.37 sQ4_spl|sQ3_spl),
% 0.09/0.37 inference(split_clause,[status(thm)],[f87,f60,f57])).
% 0.09/0.37 fof(f89,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(sat_refutation,[status(thm)],[f63,f64,f71,f73,f75,f86,f88])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.042217 seconds
% 0.14/0.41 % CPU time: 0.027845 seconds
% 0.14/0.41 % Total memory used: 1.066 MB
% 0.14/0.41 % Net memory used: 1.051 MB
%------------------------------------------------------------------------------