%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS138+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 : n013.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 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS138+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
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 22:53:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f8,axiom,(
% 0.11/0.41 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,axiom,(
% 0.11/0.41 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,axiom,(
% 0.11/0.41 (! [X] :( cA(X)<=> ( X = ib| X = ia ) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,axiom,(
% 0.11/0.41 (! [X,Y,Z] :( ( requalityOnA(Y,X)& requalityOnA(Z,X) )=> Y = Z ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,axiom,(
% 0.11/0.41 (! [X,Y] :( requalityOnA(X,Y)=> cA(Y) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,axiom,(
% 0.11/0.41 requalityOnA(ia,ia) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f16,axiom,(
% 0.11/0.41 requalityOnA(ib,ib) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f18,conjecture,(
% 0.11/0.41 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( requalityOnA(X,Y)=> ( X = ia| X = ib| X = ic ) ))& (! [X,Y] :( requalityOnA(X,Y)=> requalityOnA(Y,X) ))& cowlThing(ia)& requalityOnA(ia,ia)& cowlThing(ib)& cowlThing(ic) ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f19,negated_conjecture,(
% 0.11/0.41 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X,Y] :( requalityOnA(X,Y)=> ( X = ia| X = ib| X = ic ) ))& (! [X,Y] :( requalityOnA(X,Y)=> requalityOnA(Y,X) ))& cowlThing(ia)& requalityOnA(ia,ia)& cowlThing(ib)& cowlThing(ic) ) )),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f18])).
% 0.11/0.41 fof(f41,plain,(
% 0.11/0.41 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.41 fof(f42,plain,(
% 0.11/0.41 ![X0]: (cowlThing(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.11/0.41 fof(f43,plain,(
% 0.11/0.41 ![X0]: (~cowlNothing(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.11/0.41 fof(f44,plain,(
% 0.11/0.41 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f9])).
% 0.11/0.41 fof(f45,plain,(
% 0.11/0.41 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f44])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.11/0.41 fof(f48,plain,(
% 0.11/0.41 ![X]: ((~cA(X)|(X=ib|X=ia))&(cA(X)|(~X=ib&~X=ia)))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f49,plain,(
% 0.11/0.41 (![X]: (~cA(X)|(X=ib|X=ia)))&(![X]: (cA(X)|(~X=ib&~X=ia)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f48])).
% 0.11/0.41 fof(f50,plain,(
% 0.11/0.41 ![X0]: (~cA(X0)|X0=ib|X0=ia)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 ![X,Y,Z]: ((~requalityOnA(Y,X)|~requalityOnA(Z,X))|Y=Z)),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 ![Y,Z]: ((![X]: (~requalityOnA(Y,X)|~requalityOnA(Z,X)))|Y=Z)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f53])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~requalityOnA(X0,X1)|~requalityOnA(X2,X1)|X0=X2)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f54])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 ![X,Y]: (~requalityOnA(X,Y)|cA(Y))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f57,plain,(
% 0.11/0.41 ![Y]: ((![X]: ~requalityOnA(X,Y))|cA(Y))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f56])).
% 0.11/0.41 fof(f58,plain,(
% 0.11/0.41 ![X0,X1]: (~requalityOnA(X0,X1)|cA(X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f57])).
% 0.11/0.41 fof(f60,plain,(
% 0.11/0.41 requalityOnA(ia,ia)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.41 fof(f62,plain,(
% 0.11/0.41 requalityOnA(ib,ib)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f64,plain,(
% 0.11/0.41 ((((((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X,Y]: (requalityOnA(X,Y)&((~X=ia&~X=ib)&~X=ic))))|(?[X,Y]: (requalityOnA(X,Y)&~requalityOnA(Y,X))))|~cowlThing(ia))|~requalityOnA(ia,ia))|~cowlThing(ib))|~cowlThing(ic))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.11/0.41 fof(f65,definition,(
% 0.11/0.41 ![X]: (sP0_prd(X)<=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.11/0.41 fof(f66,definition,(
% 0.11/0.41 ![X,Y]: (sP1_prd(Y,X)<=>(requalityOnA(X,Y)&((~X=ia&~X=ib)&~X=ic)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.11/0.41 fof(f67,plain,(
% 0.11/0.41 (((((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: sP1_prd(Y,X)))|(?[X,Y]: (requalityOnA(X,Y)&~requalityOnA(Y,X))))|~cowlThing(ia))|~requalityOnA(ia,ia))|~cowlThing(ib))|~cowlThing(ic)),
% 0.11/0.41 inference(formula_renaming,[status(thm)],[f64,f66,f65])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 ((((((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: sP0_prd(X)))|(?[X,Y]: sP1_prd(Y,X)))|(?[X,Y]: (requalityOnA(X,Y)&~requalityOnA(Y,X))))|~cowlThing(ia))|~requalityOnA(ia,ia))|~cowlThing(ib))|~cowlThing(ic)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f67])).
% 0.11/0.41 fof(f69,plain,(
% 0.11/0.41 (((((((~cowlThing(sK0_skl)|cowlNothing(sK1_skl))|sP0_prd(sK2_skl))|sP1_prd(sK4_skl,sK3_skl))|(requalityOnA(sK5_skl,sK6_skl)&~requalityOnA(sK6_skl,sK5_skl)))|~cowlThing(ia))|~requalityOnA(ia,ia))|~cowlThing(ib))|~cowlThing(ic)),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(Y,sK4_skl),skolemize(X,sK5_skl),skolemize(Y,sK6_skl)],[f68])).
% 0.11/0.41 fof(f70,plain,(
% 0.11/0.41 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK4_skl,sK3_skl)|requalityOnA(sK5_skl,sK6_skl)|~cowlThing(ia)|~requalityOnA(ia,ia)|~cowlThing(ib)|~cowlThing(ic)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.11/0.41 fof(f71,plain,(
% 0.11/0.41 ~cowlThing(sK0_skl)|cowlNothing(sK1_skl)|sP0_prd(sK2_skl)|sP1_prd(sK4_skl,sK3_skl)|~requalityOnA(sK6_skl,sK5_skl)|~cowlThing(ia)|~requalityOnA(ia,ia)|~cowlThing(ib)|~cowlThing(ic)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 ![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)))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f65])).
% 0.11/0.41 fof(f73,plain,(
% 0.11/0.41 (![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)))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f72])).
% 0.11/0.41 fof(f74,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f73])).
% 0.11/0.41 fof(f75,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f73])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 ![X,Y]: ((~sP1_prd(Y,X)|(requalityOnA(X,Y)&((~X=ia&~X=ib)&~X=ic)))&(sP1_prd(Y,X)|(~requalityOnA(X,Y)|((X=ia|X=ib)|X=ic))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f66])).
% 0.11/0.41 fof(f79,plain,(
% 0.11/0.41 (![X,Y]: (~sP1_prd(Y,X)|(requalityOnA(X,Y)&((~X=ia&~X=ib)&~X=ic))))&(![X,Y]: (sP1_prd(Y,X)|(~requalityOnA(X,Y)|((X=ia|X=ib)|X=ic))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f78])).
% 0.11/0.41 fof(f80,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|requalityOnA(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f79])).
% 0.11/0.41 fof(f81,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|~X1=ia)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f79])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 ![X0,X1]: (~sP1_prd(X0,X1)|~X1=ib)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f79])).
% 0.11/0.41 fof(f85,definition,(
% 0.11/0.41 sQ0_spl <=> (cowlThing(sK0_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f87,plain,(
% 0.11/0.41 ~cowlThing(sK0_skl)|sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.41 fof(f88,definition,(
% 0.11/0.41 sQ1_spl <=> (cowlNothing(sK1_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f89,plain,(
% 0.11/0.41 cowlNothing(sK1_skl)|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f88])).
% 0.11/0.41 fof(f91,definition,(
% 0.11/0.41 sQ2_spl <=> (sP0_prd(sK2_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f92,plain,(
% 0.11/0.41 sP0_prd(sK2_skl)|~sQ2_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f91])).
% 0.11/0.41 fof(f94,definition,(
% 0.11/0.41 sQ3_spl <=> (sP1_prd(sK4_skl,sK3_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f95,plain,(
% 0.11/0.41 sP1_prd(sK4_skl,sK3_skl)|~sQ3_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.41 fof(f97,definition,(
% 0.11/0.41 sQ4_spl <=> (requalityOnA(sK5_skl,sK6_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 requalityOnA(sK5_skl,sK6_skl)|~sQ4_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.41 fof(f100,definition,(
% 0.11/0.41 sQ5_spl <=> (cowlThing(ia))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f102,plain,(
% 0.11/0.41 ~cowlThing(ia)|sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f100])).
% 0.11/0.41 fof(f103,definition,(
% 0.11/0.41 sQ6_spl <=> (requalityOnA(ia,ia))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f105,plain,(
% 0.11/0.41 ~requalityOnA(ia,ia)|sQ6_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.41 fof(f106,definition,(
% 0.11/0.41 sQ7_spl <=> (cowlThing(ib))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f108,plain,(
% 0.11/0.41 ~cowlThing(ib)|sQ7_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f106])).
% 0.11/0.41 fof(f109,definition,(
% 0.11/0.41 sQ8_spl <=> (cowlThing(ic))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f111,plain,(
% 0.11/0.41 ~cowlThing(ic)|sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.11/0.41 fof(f112,plain,(
% 0.11/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f70,f85,f88,f91,f94,f97,f100,f103,f106,f109])).
% 0.11/0.41 fof(f113,definition,(
% 0.11/0.41 sQ9_spl <=> (requalityOnA(sK6_skl,sK5_skl))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f115,plain,(
% 0.11/0.41 ~requalityOnA(sK6_skl,sK5_skl)|sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ~sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ9_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f71,f85,f88,f91,f94,f113,f100,f103,f106,f109])).
% 0.11/0.41 fof(f119,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0)|~xsd_integer(X0))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f74,f46])).
% 0.11/0.41 fof(f120,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f119,f121])).
% 0.11/0.41 fof(f121,plain,(
% 0.11/0.41 ![X0]: (~sP0_prd(X0)|xsd_integer(X0))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f75,f47])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![X0]: (~sP1_prd(X0,ia))),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f81])).
% 0.11/0.41 fof(f123,plain,(
% 0.11/0.41 ![X0]: (~sP1_prd(X0,ib))),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f82])).
% 0.11/0.41 fof(f125,plain,(
% 0.11/0.41 $false|sQ8_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f111,f42])).
% 0.11/0.41 fof(f126,plain,(
% 0.11/0.41 sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f125])).
% 0.11/0.41 fof(f127,plain,(
% 0.11/0.41 $false|sQ7_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f108,f42])).
% 0.11/0.41 fof(f128,plain,(
% 0.11/0.41 sQ7_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f127])).
% 0.11/0.41 fof(f129,plain,(
% 0.11/0.41 $false|sQ6_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f105,f60])).
% 0.11/0.41 fof(f130,plain,(
% 0.11/0.41 sQ6_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f129])).
% 0.11/0.41 fof(f131,plain,(
% 0.11/0.41 $false|sQ5_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f102,f42])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 sQ5_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f131])).
% 0.11/0.41 fof(f134,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,ia)|X0=ia)),
% 0.11/0.41 inference(resolution,[status(thm)],[f60,f55])).
% 0.11/0.41 fof(f136,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,ib)|X0=ib)),
% 0.11/0.41 inference(resolution,[status(thm)],[f62,f55])).
% 0.11/0.41 fof(f152,definition,(
% 0.11/0.41 sQ14_spl <=> (sP1_prd(ia,ia))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f153,plain,(
% 0.11/0.41 sP1_prd(ia,ia)|~sQ14_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f152])).
% 0.11/0.41 fof(f175,plain,(
% 0.11/0.41 $false|~sQ14_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f153,f122])).
% 0.11/0.41 fof(f176,plain,(
% 0.11/0.41 ~sQ14_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f175])).
% 0.11/0.41 fof(f177,plain,(
% 0.11/0.41 $false|~sQ2_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f92,f120])).
% 0.11/0.41 fof(f178,plain,(
% 0.11/0.41 ~sQ2_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f177])).
% 0.11/0.41 fof(f179,plain,(
% 0.11/0.41 $false|~sQ1_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f89,f43])).
% 0.11/0.41 fof(f180,plain,(
% 0.11/0.41 ~sQ1_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f179])).
% 0.11/0.41 fof(f181,plain,(
% 0.11/0.41 $false|sQ0_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f87,f42])).
% 0.11/0.41 fof(f182,plain,(
% 0.11/0.41 sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f181])).
% 0.11/0.41 fof(f202,plain,(
% 0.11/0.41 requalityOnA(sK3_skl,sK4_skl)|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f95,f80])).
% 0.11/0.41 fof(f204,plain,(
% 0.11/0.41 cA(sK4_skl)|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f202,f58])).
% 0.11/0.41 fof(f205,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,sK4_skl)|X0=sK3_skl|~sQ3_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f202,f55])).
% 0.11/0.41 fof(f216,plain,(
% 0.11/0.41 sK4_skl=ib|sK4_skl=ia|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f204,f50])).
% 0.11/0.41 fof(f217,definition,(
% 0.11/0.41 sQ20_spl <=> (sK4_skl=ib)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f218,plain,(
% 0.11/0.41 sK4_skl=ib|~sQ20_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f217])).
% 0.11/0.41 fof(f220,definition,(
% 0.11/0.41 sQ21_spl <=> (sK4_skl=ia)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f221,plain,(
% 0.11/0.41 sK4_skl=ia|~sQ21_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f220])).
% 0.11/0.41 fof(f223,plain,(
% 0.11/0.41 sQ20_spl|sQ21_spl|~sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f216,f217,f220,f94])).
% 0.11/0.41 fof(f224,plain,(
% 0.11/0.41 ![X0]: (~sP1_prd(X0,sK4_skl)|~sQ20_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f218,f123])).
% 0.11/0.41 fof(f229,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,ib)|X0=sK4_skl|~sQ20_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f218,f136])).
% 0.11/0.41 fof(f239,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,sK4_skl)|X0=sK4_skl|~sQ20_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f218,f229])).
% 0.11/0.41 fof(f281,plain,(
% 0.11/0.41 cA(sK6_skl)|~sQ4_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f98,f58])).
% 0.11/0.41 fof(f282,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,sK6_skl)|X0=sK5_skl|~sQ4_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f98,f55])).
% 0.11/0.41 fof(f354,plain,(
% 0.11/0.41 ![X0]: (~sP1_prd(X0,sK4_skl)|~sQ21_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f221,f122])).
% 0.11/0.41 fof(f357,plain,(
% 0.11/0.41 requalityOnA(ia,sK4_skl)|~sQ21_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f221,f60])).
% 0.11/0.41 fof(f376,plain,(
% 0.11/0.41 requalityOnA(sK4_skl,sK4_skl)|~sQ21_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f221,f357])).
% 0.11/0.41 fof(f389,plain,(
% 0.11/0.41 sK3_skl=sK4_skl|~sQ3_spl|~sQ20_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f202,f239])).
% 0.11/0.41 fof(f396,plain,(
% 0.11/0.41 sP1_prd(sK3_skl,sK3_skl)|~sQ20_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f389,f95])).
% 0.11/0.41 fof(f400,plain,(
% 0.11/0.41 ![X0]: (~sP1_prd(X0,sK3_skl)|~sQ3_spl|~sQ20_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f389,f224])).
% 0.11/0.41 fof(f410,plain,(
% 0.11/0.41 $false|~sQ20_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f396,f400])).
% 0.11/0.41 fof(f411,plain,(
% 0.11/0.41 ~sQ20_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f410])).
% 0.11/0.41 fof(f435,plain,(
% 0.11/0.41 sK4_skl=sK3_skl|~sQ3_spl|~sQ21_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f205,f376])).
% 0.11/0.41 fof(f443,plain,(
% 0.11/0.41 ![X0]: (~sP1_prd(X0,sK3_skl)|~sQ3_spl|~sQ21_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f435,f354])).
% 0.11/0.41 fof(f445,plain,(
% 0.11/0.41 sP1_prd(sK3_skl,sK3_skl)|~sQ21_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f435,f95])).
% 0.11/0.41 fof(f450,plain,(
% 0.11/0.41 $false|~sQ21_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f445,f443])).
% 0.11/0.41 fof(f451,plain,(
% 0.11/0.41 ~sQ21_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f450])).
% 0.11/0.41 fof(f525,plain,(
% 0.11/0.41 sK6_skl=ib|sK6_skl=ia|~sQ4_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f50,f281])).
% 0.11/0.41 fof(f526,definition,(
% 0.11/0.41 sQ32_spl <=> (sK6_skl=ib)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f527,plain,(
% 0.11/0.41 sK6_skl=ib|~sQ32_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f526])).
% 0.11/0.41 fof(f529,definition,(
% 0.11/0.41 sQ33_spl <=> (sK6_skl=ia)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f530,plain,(
% 0.11/0.41 sK6_skl=ia|~sQ33_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f529])).
% 0.11/0.41 fof(f532,plain,(
% 0.11/0.41 sQ32_spl|sQ33_spl|~sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f525,f526,f529,f97])).
% 0.11/0.41 fof(f537,plain,(
% 0.11/0.41 requalityOnA(ib,sK6_skl)|~sQ32_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f527,f62])).
% 0.11/0.41 fof(f550,plain,(
% 0.11/0.41 requalityOnA(sK6_skl,sK6_skl)|~sQ32_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f527,f537])).
% 0.11/0.41 fof(f554,definition,(
% 0.11/0.41 sQ34_spl <=> (sK5_skl=sK6_skl)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f555,plain,(
% 0.11/0.41 sK5_skl=sK6_skl|~sQ34_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f554])).
% 0.11/0.41 fof(f558,plain,(
% 0.11/0.41 requalityOnA(sK5_skl,sK5_skl)|~sQ34_spl|~sQ4_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f555,f98])).
% 0.11/0.41 fof(f567,plain,(
% 0.11/0.41 ~requalityOnA(sK5_skl,sK5_skl)|~sQ34_spl|sQ9_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f555,f115])).
% 0.11/0.41 fof(f604,plain,(
% 0.11/0.41 $false|sQ9_spl|~sQ34_spl|~sQ4_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f558,f567])).
% 0.11/0.41 fof(f605,plain,(
% 0.11/0.41 sQ9_spl|~sQ34_spl|~sQ4_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f604])).
% 0.11/0.41 fof(f827,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,ia)|X0=sK6_skl|~sQ33_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f530,f134])).
% 0.11/0.41 fof(f837,plain,(
% 0.11/0.41 ![X0]: (~requalityOnA(X0,sK6_skl)|X0=sK6_skl|~sQ33_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f530,f827])).
% 0.11/0.41 fof(f856,plain,(
% 0.11/0.41 sK6_skl=sK5_skl|~sQ4_spl|~sQ32_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f282,f550])).
% 0.11/0.41 fof(f858,plain,(
% 0.11/0.41 sQ34_spl|~sQ4_spl|~sQ32_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f856,f554,f97,f526])).
% 0.11/0.41 fof(f953,plain,(
% 0.11/0.41 sK5_skl=sK6_skl|~sQ33_spl|~sQ4_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f837,f98])).
% 0.11/0.41 fof(f954,plain,(
% 0.11/0.41 sQ34_spl|~sQ33_spl|~sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f953,f554,f529,f97])).
% 0.11/0.41 fof(f955,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f112,f116,f126,f128,f130,f132,f176,f178,f180,f182,f223,f411,f451,f532,f605,f858,f954])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.068012 seconds
% 0.11/0.44 % CPU time: 0.236882 seconds
% 0.11/0.44 % Total memory used: 82.376 MB
% 0.11/0.44 % Net memory used: 82.040 MB
%------------------------------------------------------------------------------