%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS152+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 : n003.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 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS152+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
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 22:57:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [X] :( cC10(X)<=> ( cC2(X)& cC4(X) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (! [X] :( cTEST(X)<=> ( cC12(X)& ~ cC8(X) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 cTEST(iV21080) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,axiom,(
% 0.13/0.38 cC2(iV21081) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,axiom,(
% 0.13/0.38 cC4(iV21081) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,conjecture,(
% 0.13/0.38 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cowlThing(iV21080)& cC12(iV21080)& cC10(iV21081)& cowlThing(iV21081) ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,negated_conjecture,(
% 0.13/0.38 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& cowlThing(iV21080)& cC12(iV21080)& cC10(iV21081)& cowlThing(iV21081) ) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f17])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0]: (cowlThing(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X0]: (~cowlNothing(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X]: ((~cC10(X)|(cC2(X)&cC4(X)))&(cC10(X)|(~cC2(X)|~cC4(X))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 (![X]: (~cC10(X)|(cC2(X)&cC4(X))))&(![X]: (cC10(X)|(~cC2(X)|~cC4(X))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f26])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![X0]: (cC10(X0)|~cC2(X0)|~cC4(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 ![X]: ((~cTEST(X)|(cC12(X)&~cC8(X)))&(cTEST(X)|(~cC12(X)|cC8(X))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 (![X]: (~cTEST(X)|(cC12(X)&~cC8(X))))&(![X]: (cTEST(X)|(~cC12(X)|cC8(X))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f48])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ![X0]: (~cTEST(X0)|cC12(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 cTEST(iV21080)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 cC2(iV21081)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 cC4(iV21081)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 ((((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|~cowlThing(iV21080))|~cC12(iV21080))|~cC10(iV21081))|~cowlThing(iV21081))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 (((((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cowlThing(iV21080))|~cC12(iV21080))|~cC10(iV21081))|~cowlThing(iV21081)),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f63])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 ((((((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: ((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X)))))|~cowlThing(iV21080))|~cC12(iV21080))|~cC10(iV21081))|~cowlThing(iV21081)),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f64])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 (((((~cowlThing(sK2_skl)|cowlNothing(sK3_skl))|((xsd_string(sK4_skl)|~xsd_integer(sK4_skl))&(~xsd_string(sK4_skl)|xsd_integer(sK4_skl))))|~cowlThing(iV21080))|~cC12(iV21080))|~cC10(iV21081))|~cowlThing(iV21081)),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(X,sK4_skl)],[f65])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|xsd_string(sK4_skl)|~xsd_integer(sK4_skl)|~cowlThing(iV21080)|~cC12(iV21080)|~cC10(iV21081)|~cowlThing(iV21081)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 ~cowlThing(sK2_skl)|cowlNothing(sK3_skl)|~xsd_string(sK4_skl)|xsd_integer(sK4_skl)|~cowlThing(iV21080)|~cC12(iV21080)|~cC10(iV21081)|~cowlThing(iV21081)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.38 fof(f69,definition,(
% 0.13/0.38 sQ0_spl <=> (cowlThing(sK2_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 ~cowlThing(sK2_skl)|sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.38 fof(f72,definition,(
% 0.13/0.38 sQ1_spl <=> (cowlNothing(sK3_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 cowlNothing(sK3_skl)|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f72])).
% 0.13/0.38 fof(f75,definition,(
% 0.13/0.38 sQ2_spl <=> (xsd_string(sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 xsd_string(sK4_skl)|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.38 fof(f78,definition,(
% 0.13/0.38 sQ3_spl <=> (xsd_integer(sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 xsd_integer(sK4_skl)|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f78])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 ~xsd_integer(sK4_skl)|sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f78])).
% 0.13/0.38 fof(f81,definition,(
% 0.13/0.38 sQ4_spl <=> (cowlThing(iV21080))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f83,plain,(
% 0.13/0.38 ~cowlThing(iV21080)|sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.38 fof(f84,definition,(
% 0.13/0.38 sQ5_spl <=> (cC12(iV21080))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ~cC12(iV21080)|sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.38 fof(f87,definition,(
% 0.13/0.38 sQ6_spl <=> (cC10(iV21081))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f90,definition,(
% 0.13/0.38 sQ7_spl <=> (cowlThing(iV21081))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 ~cowlThing(iV21081)|sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f90])).
% 0.13/0.38 fof(f93,plain,(
% 0.13/0.38 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f67,f69,f72,f75,f78,f81,f84,f87,f90])).
% 0.13/0.38 fof(f94,plain,(
% 0.13/0.38 ~sQ0_spl|sQ1_spl|~sQ2_spl|sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f68,f69,f72,f75,f78,f81,f84,f87,f90])).
% 0.13/0.38 fof(f95,plain,(
% 0.13/0.38 $false|sQ7_spl),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f92,f20])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 sQ7_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f95])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 cC12(iV21080)),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f53])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 cC10(iV21081)|~cC2(iV21081)),
% 0.13/0.38 inference(resolution,[status(thm)],[f30,f62])).
% 0.13/0.38 fof(f101,definition,(
% 0.13/0.38 sQ8_spl <=> (cC2(iV21081))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 ~cC2(iV21081)|sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 sQ6_spl|~sQ8_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f99,f87,f101])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 $false|sQ5_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f86,f98])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f105])).
% 0.13/0.38 fof(f107,plain,(
% 0.13/0.38 $false|sQ4_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f83,f20])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 sQ4_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f107])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 $false|~sQ1_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f73,f21])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 ~sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f109])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 $false|sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f71,f20])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f111])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 ~xsd_string(sK4_skl)|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f79,f24])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 $false|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f113,f76])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f114])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 xsd_string(sK4_skl)|sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f80,f25])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 sQ2_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f116,f75,f78])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 $false|sQ8_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f103,f61])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 sQ8_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f118])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f93,f94,f96,f104,f106,f108,f110,f112,f115,f117,f119])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.037056 seconds
% 0.13/0.40 % CPU time: 0.092757 seconds
% 0.13/0.40 % Total memory used: 14.624 MB
% 0.13/0.40 % Net memory used: 14.388 MB
%------------------------------------------------------------------------------