%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE003+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:58:08 PM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE003+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:37:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f4,axiom,(
% 0.08/0.37 (! [A] : addition(A,A) = A )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f13,conjecture,(
% 0.08/0.37 ( (! [X0] : addition(X0,X0) = X0)<=> addition(one,one) = one ) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f14,negated_conjecture,(
% 0.08/0.37 ~(( (! [X0] : addition(X0,X0) = X0)<=> addition(one,one) = one ) )),
% 0.08/0.37 inference(negated_conjecture,[status(cth)],[f13])).
% 0.08/0.37 fof(f18,plain,(
% 0.08/0.37 ![X0]: (addition(X0,X0)=X0)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f30,plain,(
% 0.08/0.37 ((![X0]: addition(X0,X0)=X0)<~>addition(one,one)=one)),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.08/0.37 fof(f31,plain,(
% 0.08/0.37 ((![X0]: addition(X0,X0)=X0)|addition(one,one)=one)&((?[X0]: ~addition(X0,X0)=X0)|~addition(one,one)=one)),
% 0.08/0.37 inference(NNF_transformation,[status(thm)],[f30])).
% 0.08/0.37 fof(f32,plain,(
% 0.08/0.37 ((![X0]: addition(X0,X0)=X0)|addition(one,one)=one)&(~addition(sK0_skl,sK0_skl)=sK0_skl|~addition(one,one)=one)),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f31])).
% 0.08/0.37 fof(f34,plain,(
% 0.08/0.37 ~addition(sK0_skl,sK0_skl)=sK0_skl|~addition(one,one)=one),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.37 fof(f38,definition,(
% 0.08/0.37 sQ1_spl <=> (addition(one,one)=one)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f40,plain,(
% 0.08/0.37 ~addition(one,one)=one|sQ1_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f38])).
% 0.08/0.37 fof(f42,definition,(
% 0.08/0.37 sQ2_spl <=> (addition(sK0_skl,sK0_skl)=sK0_skl)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f44,plain,(
% 0.08/0.37 ~addition(sK0_skl,sK0_skl)=sK0_skl|sQ2_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f42])).
% 0.08/0.37 fof(f45,plain,(
% 0.08/0.37 ~sQ2_spl|~sQ1_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f34,f42,f38])).
% 0.08/0.37 fof(f50,plain,(
% 0.08/0.37 ~sK0_skl=sK0_skl|sQ2_spl),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f18,f44])).
% 0.08/0.37 fof(f51,plain,(
% 0.08/0.37 $false|sQ2_spl),
% 0.08/0.37 inference(trivial_equality_resolution,[status(thm)],[f50])).
% 0.08/0.37 fof(f52,plain,(
% 0.08/0.37 sQ2_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f51])).
% 0.08/0.37 fof(f53,plain,(
% 0.08/0.37 ~one=one|sQ1_spl),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f18,f40])).
% 0.08/0.37 fof(f54,plain,(
% 0.08/0.37 $false|sQ1_spl),
% 0.08/0.37 inference(trivial_equality_resolution,[status(thm)],[f53])).
% 0.08/0.37 fof(f55,plain,(
% 0.08/0.37 sQ1_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f54])).
% 0.08/0.37 fof(f56,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(sat_refutation,[status(thm)],[f45,f52,f55])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.039413 seconds
% 0.13/0.40 % CPU time: 0.066434 seconds
% 0.13/0.40 % Total memory used: 9.502 MB
% 0.13/0.40 % Net memory used: 9.468 MB
%------------------------------------------------------------------------------