%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS150+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 : n019.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 01:00:20 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS150+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
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:55:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (! [X] :( cC10(X)<=> (? [Y] :( rR1(X,Y)& ~ cC2(Y) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (! [X] :( cC12(X)<=> ( ~ cC2(X)& ~ cC10(X) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (! [X] :( cC16(X)<=> ( cC14(X)& cC8(X) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (! [X] :( cC18(X)<=> ( cTOP(X)& cC16(X) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 (! [X] :( cC6(X)<=> ( ~ cC2(X)& ~ cC4(X) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f11,axiom,(
% 0.14/0.38 (! [X] :( cTEST(X)<=> ( cC18(X)& cTOP(X) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,axiom,(
% 0.14/0.38 cTOP(iV16560) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,axiom,(
% 0.14/0.38 cTEST(iV16560) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f15,axiom,(
% 0.14/0.38 rR1(iV16560,iV16562) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f17,axiom,(
% 0.14/0.38 ~ cC4(iV16561) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f20,axiom,(
% 0.14/0.38 ~ cC2(iV16561) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f21,axiom,(
% 0.14/0.38 ~ cC10(iV16562) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f22,axiom,(
% 0.14/0.38 ~ cC2(iV16562) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f25,conjecture,(
% 0.14/0.38 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cC18(iV16560)& cC16(iV16560)& cowlThing(iV16560)& cC14(iV16560)& cC8(iV16560)& cowlThing(iV16561)& cC6(iV16561)& cowlThing(iV16562)& cC12(iV16562) ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f26,negated_conjecture,(
% 0.14/0.38 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cC18(iV16560)& cC16(iV16560)& cowlThing(iV16560)& cC14(iV16560)& cC8(iV16560)& cowlThing(iV16561)& cC6(iV16561)& cowlThing(iV16562)& cC12(iV16562) ) )),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f25])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ![X0]: (cowlThing(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 ![X0]: (~cowlNothing(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f30])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 ![X]: ((~cC10(X)|(?[Y]: (rR1(X,Y)&~cC2(Y))))&(cC10(X)|(![Y]: (~rR1(X,Y)|cC2(Y)))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 (![X]: (~cC10(X)|(?[Y]: (rR1(X,Y)&~cC2(Y)))))&(![X]: (cC10(X)|(![Y]: (~rR1(X,Y)|cC2(Y)))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 (![X]: (~cC10(X)|(rR1(X,sK0_skl(X))&~cC2(sK0_skl(X)))))&(![X]: (cC10(X)|(![Y]: (~rR1(X,Y)|cC2(Y)))))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f35])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ![X0,X1]: (cC10(X0)|~rR1(X0,X1)|cC2(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 ![X]: ((~cC12(X)|(~cC2(X)&~cC10(X)))&(cC12(X)|(cC2(X)|cC10(X))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 (![X]: (~cC12(X)|(~cC2(X)&~cC10(X))))&(![X]: (cC12(X)|(cC2(X)|cC10(X))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 ![X0]: (cC12(X0)|cC2(X0)|cC10(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.38 fof(f51,plain,(
% 0.14/0.38 ![X]: ((~cC16(X)|(cC14(X)&cC8(X)))&(cC16(X)|(~cC14(X)|~cC8(X))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f52,plain,(
% 0.14/0.38 (![X]: (~cC16(X)|(cC14(X)&cC8(X))))&(![X]: (cC16(X)|(~cC14(X)|~cC8(X))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f51])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 ![X0]: (~cC16(X0)|cC14(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 ![X0]: (~cC16(X0)|cC8(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ![X0]: (cC16(X0)|~cC14(X0)|~cC8(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 ![X]: ((~cC18(X)|(cTOP(X)&cC16(X)))&(cC18(X)|(~cTOP(X)|~cC16(X))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 (![X]: (~cC18(X)|(cTOP(X)&cC16(X))))&(![X]: (cC18(X)|(~cTOP(X)|~cC16(X))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f56])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ![X0]: (~cC18(X0)|cC16(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 ![X0]: (cC18(X0)|~cTOP(X0)|~cC16(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 ![X]: ((~cC6(X)|(~cC2(X)&~cC4(X)))&(cC6(X)|(cC2(X)|cC4(X))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 (![X]: (~cC6(X)|(~cC2(X)&~cC4(X))))&(![X]: (cC6(X)|(cC2(X)|cC4(X))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f67])).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 ![X0]: (cC6(X0)|cC2(X0)|cC4(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 ![X]: ((~cTEST(X)|(cC18(X)&cTOP(X)))&(cTEST(X)|(~cC18(X)|~cTOP(X))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f11])).
% 0.14/0.38 fof(f79,plain,(
% 0.14/0.38 (![X]: (~cTEST(X)|(cC18(X)&cTOP(X))))&(![X]: (cTEST(X)|(~cC18(X)|~cTOP(X))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f78])).
% 0.14/0.38 fof(f80,plain,(
% 0.14/0.38 ![X0]: (~cTEST(X0)|cC18(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f79])).
% 0.14/0.38 fof(f83,plain,(
% 0.14/0.38 cTOP(iV16560)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.38 fof(f84,plain,(
% 0.14/0.38 cTEST(iV16560)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 rR1(iV16560,iV16562)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.38 fof(f88,plain,(
% 0.14/0.38 ~cC4(iV16561)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.38 fof(f92,plain,(
% 0.14/0.38 ~cC2(iV16561)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.38 fof(f93,plain,(
% 0.14/0.38 ~cC10(iV16562)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.38 fof(f94,plain,(
% 0.14/0.38 ~cC2(iV16562)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 (((((((((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|~cC18(iV16560))|~cC16(iV16560))|~cowlThing(iV16560))|~cC14(iV16560))|~cC8(iV16560))|~cowlThing(iV16561))|~cC6(iV16561))|~cowlThing(iV16562))|~cC12(iV16562))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 ((((((((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cC18(iV16560))|~cC16(iV16560))|~cowlThing(iV16560))|~cC14(iV16560))|~cC8(iV16560))|~cowlThing(iV16561))|~cC6(iV16561))|~cowlThing(iV16562))|~cC12(iV16562)),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f98])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 (((((((((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cC18(iV16560))|~cC16(iV16560))|~cowlThing(iV16560))|~cC14(iV16560))|~cC8(iV16560))|~cowlThing(iV16561))|~cC6(iV16561))|~cowlThing(iV16562))|~cC12(iV16562)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f99])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 ((((((((((~cowlThing(sK4_skl)|cowlNothing(sK5_skl))|((xsd_string(sK6_skl)|~xsd_integer(sK6_skl))&(~xsd_string(sK6_skl)|xsd_integer(sK6_skl))))|~cC18(iV16560))|~cC16(iV16560))|~cowlThing(iV16560))|~cC14(iV16560))|~cC8(iV16560))|~cowlThing(iV16561))|~cC6(iV16561))|~cowlThing(iV16562))|~cC12(iV16562)),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK4_skl),skolemize(X,sK5_skl),skolemize(X,sK6_skl)],[f100])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 ~cowlThing(sK4_skl)|cowlNothing(sK5_skl)|xsd_string(sK6_skl)|~xsd_integer(sK6_skl)|~cC18(iV16560)|~cC16(iV16560)|~cowlThing(iV16560)|~cC14(iV16560)|~cC8(iV16560)|~cowlThing(iV16561)|~cC6(iV16561)|~cowlThing(iV16562)|~cC12(iV16562)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f101])).
% 0.14/0.38 fof(f103,plain,(
% 0.14/0.38 ~cowlThing(sK4_skl)|cowlNothing(sK5_skl)|~xsd_string(sK6_skl)|xsd_integer(sK6_skl)|~cC18(iV16560)|~cC16(iV16560)|~cowlThing(iV16560)|~cC14(iV16560)|~cC8(iV16560)|~cowlThing(iV16561)|~cC6(iV16561)|~cowlThing(iV16562)|~cC12(iV16562)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f101])).
% 0.14/0.38 fof(f104,definition,(
% 0.14/0.38 sQ0_spl <=> (cowlThing(sK4_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f106,plain,(
% 0.14/0.38 ~cowlThing(sK4_skl)|sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f104])).
% 0.14/0.38 fof(f107,definition,(
% 0.14/0.38 sQ1_spl <=> (cowlNothing(sK5_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f108,plain,(
% 0.14/0.38 cowlNothing(sK5_skl)|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.38 fof(f110,definition,(
% 0.14/0.38 sQ2_spl <=> (xsd_string(sK6_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f111,plain,(
% 0.14/0.38 xsd_string(sK6_skl)|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 ~xsd_string(sK6_skl)|sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.38 fof(f113,definition,(
% 0.14/0.38 sQ3_spl <=> (xsd_integer(sK6_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f114,plain,(
% 0.14/0.38 xsd_integer(sK6_skl)|~sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f113])).
% 0.14/0.38 fof(f116,definition,(
% 0.14/0.38 sQ4_spl <=> (cC18(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f119,definition,(
% 0.14/0.38 sQ5_spl <=> (cC16(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f122,definition,(
% 0.14/0.38 sQ6_spl <=> (cowlThing(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 ~cowlThing(iV16560)|sQ6_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f122])).
% 0.14/0.38 fof(f125,definition,(
% 0.14/0.38 sQ7_spl <=> (cC14(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f127,plain,(
% 0.14/0.38 ~cC14(iV16560)|sQ7_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.38 fof(f128,definition,(
% 0.14/0.38 sQ8_spl <=> (cC8(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 ~cC8(iV16560)|sQ8_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f128])).
% 0.14/0.38 fof(f131,definition,(
% 0.14/0.38 sQ9_spl <=> (cowlThing(iV16561))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 ~cowlThing(iV16561)|sQ9_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f131])).
% 0.14/0.38 fof(f134,definition,(
% 0.14/0.38 sQ10_spl <=> (cC6(iV16561))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f137,definition,(
% 0.14/0.38 sQ11_spl <=> (cowlThing(iV16562))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f139,plain,(
% 0.14/0.38 ~cowlThing(iV16562)|sQ11_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.38 fof(f140,definition,(
% 0.14/0.38 sQ12_spl <=> (cC12(iV16562))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f102,f104,f107,f110,f113,f116,f119,f122,f125,f128,f131,f134,f137,f140])).
% 0.14/0.38 fof(f144,plain,(
% 0.14/0.38 ~sQ0_spl|sQ1_spl|~sQ2_spl|sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f103,f104,f107,f110,f113,f116,f119,f122,f125,f128,f131,f134,f137,f140])).
% 0.14/0.38 fof(f147,plain,(
% 0.14/0.38 cC10(iV16560)|cC2(iV16562)),
% 0.14/0.38 inference(resolution,[status(thm)],[f86,f39])).
% 0.14/0.38 fof(f148,definition,(
% 0.14/0.38 sQ13_spl <=> (cC10(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f151,definition,(
% 0.14/0.38 sQ14_spl <=> (cC2(iV16562))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f152,plain,(
% 0.14/0.38 cC2(iV16562)|~sQ14_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f151])).
% 0.14/0.38 fof(f154,plain,(
% 0.14/0.38 sQ13_spl|sQ14_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f147,f148,f151])).
% 0.14/0.38 fof(f167,plain,(
% 0.14/0.38 cC18(iV16560)),
% 0.14/0.38 inference(resolution,[status(thm)],[f80,f84])).
% 0.14/0.38 fof(f168,plain,(
% 0.14/0.38 cC16(iV16560)),
% 0.14/0.38 inference(resolution,[status(thm)],[f167,f59])).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 cC8(iV16560)),
% 0.14/0.38 inference(resolution,[status(thm)],[f168,f54])).
% 0.14/0.38 fof(f171,plain,(
% 0.14/0.38 cC16(iV16560)|~cC14(iV16560)),
% 0.14/0.38 inference(resolution,[status(thm)],[f170,f55])).
% 0.14/0.38 fof(f172,plain,(
% 0.14/0.38 sQ5_spl|~sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f171,f119,f125])).
% 0.14/0.38 fof(f173,plain,(
% 0.14/0.38 ~cC16(iV16560)|sQ7_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f127,f53])).
% 0.14/0.38 fof(f174,plain,(
% 0.14/0.38 $false|sQ7_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f173,f168])).
% 0.14/0.38 fof(f175,plain,(
% 0.14/0.38 sQ7_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f174])).
% 0.14/0.38 fof(f179,plain,(
% 0.14/0.38 cC12(iV16562)|cC2(iV16562)),
% 0.14/0.38 inference(resolution,[status(thm)],[f44,f93])).
% 0.14/0.38 fof(f182,plain,(
% 0.14/0.38 sQ12_spl|sQ14_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f179,f140,f151])).
% 0.14/0.38 fof(f183,plain,(
% 0.14/0.38 $false|~sQ14_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f152,f94])).
% 0.14/0.38 fof(f184,plain,(
% 0.14/0.38 ~sQ14_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f183])).
% 0.14/0.38 fof(f185,plain,(
% 0.14/0.38 $false|sQ11_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f139,f28])).
% 0.14/0.38 fof(f186,plain,(
% 0.14/0.38 sQ11_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f185])).
% 0.14/0.38 fof(f189,plain,(
% 0.14/0.38 cC18(iV16560)|~cTOP(iV16560)),
% 0.14/0.38 inference(resolution,[status(thm)],[f60,f168])).
% 0.14/0.38 fof(f190,definition,(
% 0.14/0.38 sQ17_spl <=> (cTOP(iV16560))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f192,plain,(
% 0.14/0.38 ~cTOP(iV16560)|sQ17_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f190])).
% 0.14/0.38 fof(f193,plain,(
% 0.14/0.38 sQ4_spl|~sQ17_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f189,f116,f190])).
% 0.14/0.38 fof(f207,plain,(
% 0.14/0.38 cC6(iV16561)|cC4(iV16561)),
% 0.14/0.38 inference(resolution,[status(thm)],[f71,f92])).
% 0.14/0.38 fof(f217,definition,(
% 0.14/0.38 sQ21_spl <=> (cC4(iV16561))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f218,plain,(
% 0.14/0.38 cC4(iV16561)|~sQ21_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f217])).
% 0.14/0.38 fof(f220,plain,(
% 0.14/0.38 sQ10_spl|sQ21_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f207,f134,f217])).
% 0.14/0.38 fof(f221,plain,(
% 0.14/0.38 $false|sQ9_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f133,f28])).
% 0.14/0.38 fof(f222,plain,(
% 0.14/0.38 sQ9_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f221])).
% 0.14/0.38 fof(f223,plain,(
% 0.14/0.38 $false|sQ8_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f130,f170])).
% 0.14/0.38 fof(f224,plain,(
% 0.14/0.38 sQ8_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f223])).
% 0.14/0.38 fof(f225,plain,(
% 0.14/0.38 $false|sQ6_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f124,f28])).
% 0.14/0.38 fof(f226,plain,(
% 0.14/0.38 sQ6_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f225])).
% 0.14/0.38 fof(f227,plain,(
% 0.14/0.38 $false|~sQ1_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f108,f29])).
% 0.14/0.38 fof(f228,plain,(
% 0.14/0.38 ~sQ1_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f227])).
% 0.14/0.38 fof(f229,plain,(
% 0.14/0.38 $false|sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f106,f28])).
% 0.14/0.38 fof(f230,plain,(
% 0.14/0.38 sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f229])).
% 0.14/0.38 fof(f233,plain,(
% 0.14/0.38 ~xsd_integer(sK6_skl)|~sQ2_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f111,f32])).
% 0.14/0.38 fof(f234,plain,(
% 0.14/0.38 $false|~sQ3_spl|~sQ2_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f233,f114])).
% 0.14/0.39 fof(f235,plain,(
% 0.14/0.39 ~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f234])).
% 0.14/0.39 fof(f236,plain,(
% 0.14/0.39 xsd_integer(sK6_skl)|sQ2_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f112,f33])).
% 0.14/0.39 fof(f237,plain,(
% 0.14/0.39 sQ3_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f236,f113,f110])).
% 0.14/0.39 fof(f238,plain,(
% 0.14/0.39 $false|sQ17_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f192,f83])).
% 0.14/0.39 fof(f239,plain,(
% 0.14/0.39 sQ17_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f238])).
% 0.14/0.39 fof(f240,plain,(
% 0.14/0.39 $false|~sQ21_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f218,f88])).
% 0.14/0.39 fof(f241,plain,(
% 0.14/0.39 ~sQ21_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f240])).
% 0.14/0.39 fof(f242,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f143,f144,f154,f172,f175,f182,f184,f186,f193,f220,f222,f224,f226,f228,f230,f235,f237,f239,f241])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.037565 seconds
% 0.14/0.40 % CPU time: 0.098634 seconds
% 0.14/0.40 % Total memory used: 13.159 MB
% 0.14/0.40 % Net memory used: 13.097 MB
%------------------------------------------------------------------------------