%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% 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 03:09:10 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:55:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 ( hoare_165779456gleton<=> (? [S,T] :( is_state(S)& is_state(T)& S != T ) )) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,hypothesis,(
% 0.13/0.39 hoare_165779456gleton ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,conjecture,(
% 0.13/0.39 (! [T] :( is_state(T)=> ~ (! [S] :( is_state(S)=> S = T ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ~((! [T] :( is_state(T)=> ~ (! [S] :( is_state(S)=> S = T ) )) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f7])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 (~hoare_165779456gleton|(?[S,T]: ((is_state(S)&is_state(T))&~S=T)))&(hoare_165779456gleton|(![S,T]: ((~is_state(S)|~is_state(T))|S=T)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 (~hoare_165779456gleton|((is_state(sK0_skl)&is_state(sK1_skl))&~sK0_skl=sK1_skl))&(hoare_165779456gleton|(![S,T]: ((~is_state(S)|~is_state(T))|S=T)))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(S,sK0_skl),skolemize(T,sK1_skl)],[f10])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ~hoare_165779456gleton|is_state(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ~hoare_165779456gleton|is_state(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ~hoare_165779456gleton|~sK0_skl=sK1_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 hoare_165779456gleton),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 (?[T]: (is_state(T)&(![S]: (~is_state(S)|S=T))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 (is_state(sK2_skl)&(![S]: (~is_state(S)|S=sK2_skl)))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(T,sK2_skl)],[f20])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0]: (~is_state(X0)|X0=sK2_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.39 fof(f24,definition,(
% 0.13/0.39 sQ0_spl <=> (hoare_165779456gleton)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ~hoare_165779456gleton|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.13/0.39 fof(f27,definition,(
% 0.13/0.39 sQ1_spl <=> (is_state(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 is_state(sK0_skl)|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f27])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f12,f24,f27])).
% 0.13/0.39 fof(f31,definition,(
% 0.13/0.39 sQ2_spl <=> (is_state(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 is_state(sK1_skl)|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ~sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f13,f24,f31])).
% 0.13/0.39 fof(f35,definition,(
% 0.13/0.39 sQ3_spl <=> (sK0_skl=sK1_skl)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ~sK0_skl=sK1_skl|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f35])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f14,f24,f35])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 sK0_skl=sK2_skl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f28,f23])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0]: (~is_state(X0)|X0=sK0_skl|~sQ1_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f46,f23])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 sK1_skl=sK0_skl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f48,f32])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 $false|sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f50,f37])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f52])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 $false|sQ0_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f26,f19])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f54])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f30,f34,f38,f53,f55])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.056209 seconds
% 0.13/0.42 % CPU time: 0.158359 seconds
% 0.13/0.42 % Total memory used: 57.345 MB
% 0.13/0.42 % Net memory used: 56.985 MB
%------------------------------------------------------------------------------