%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU188+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:21:56 PM UTC 2026
% Result : Theorem 0.03s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU188+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.03/0.37 % WCLimit : 300
% 0.03/0.37 % DateTime : Mon Sep 21 05:57:46 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.38 % Drodi V4.1.1
% 0.03/0.40 % Refutation found
% 0.03/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.40 fof(f57,axiom,(
% 0.03/0.40 empty(empty_set) ),
% 0.03/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.40 fof(f66,axiom,(
% 0.03/0.40 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 0.03/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.40 fof(f67,axiom,(
% 0.03/0.40 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_rng(A)) ) )),
% 0.03/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.40 fof(f156,conjecture,(
% 0.03/0.40 (! [A] :( relation(A)=> ( ( relation_dom(A) = empty_set| relation_rng(A) = empty_set )=> A = empty_set ) ) )),
% 0.03/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.40 fof(f157,negated_conjecture,(
% 0.03/0.40 ~((! [A] :( relation(A)=> ( ( relation_dom(A) = empty_set| relation_rng(A) = empty_set )=> A = empty_set ) ) ))),
% 0.03/0.40 inference(negated_conjecture,[status(cth)],[f156])).
% 0.03/0.40 fof(f160,axiom,(
% 0.03/0.40 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.03/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.40 fof(f367,plain,(
% 0.03/0.40 empty(empty_set)),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f57])).
% 0.03/0.40 fof(f383,plain,(
% 0.03/0.40 ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 0.03/0.40 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 0.03/0.40 fof(f384,plain,(
% 0.03/0.40 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f383])).
% 0.03/0.40 fof(f385,plain,(
% 0.03/0.40 ![A]: ((empty(A)|~relation(A))|~empty(relation_rng(A)))),
% 0.03/0.40 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.03/0.40 fof(f386,plain,(
% 0.03/0.40 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_rng(X0)))),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f385])).
% 0.03/0.40 fof(f621,plain,(
% 0.03/0.40 (?[A]: (relation(A)&((relation_dom(A)=empty_set|relation_rng(A)=empty_set)&~A=empty_set)))),
% 0.03/0.40 inference(pre_NNF_transformation,[status(thm)],[f157])).
% 0.03/0.40 fof(f622,plain,(
% 0.03/0.40 (relation(sK49_skl)&((relation_dom(sK49_skl)=empty_set|relation_rng(sK49_skl)=empty_set)&~sK49_skl=empty_set))),
% 0.03/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK49_skl]),skolemize(A,sK49_skl)],[f621])).
% 0.03/0.40 fof(f623,plain,(
% 0.03/0.40 relation(sK49_skl)),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f622])).
% 0.03/0.40 fof(f624,plain,(
% 0.03/0.40 relation_dom(sK49_skl)=empty_set|relation_rng(sK49_skl)=empty_set),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f622])).
% 0.03/0.40 fof(f625,plain,(
% 0.03/0.40 ~sK49_skl=empty_set),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f622])).
% 0.03/0.40 fof(f631,plain,(
% 0.03/0.40 ![A]: (~empty(A)|A=empty_set)),
% 0.03/0.40 inference(pre_NNF_transformation,[status(thm)],[f160])).
% 0.03/0.40 fof(f632,plain,(
% 0.03/0.40 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.03/0.40 inference(cnf_transformation,[status(thm)],[f631])).
% 0.03/0.40 fof(f671,definition,(
% 0.03/0.40 sQ0_spl <=> (relation_dom(sK49_skl)=empty_set)),
% 0.03/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.03/0.40 fof(f672,plain,(
% 0.03/0.40 relation_dom(sK49_skl)=empty_set|~sQ0_spl),
% 0.03/0.40 inference(component_clause,[status(thm)],[f671])).
% 0.03/0.40 fof(f674,definition,(
% 0.03/0.40 sQ1_spl <=> (relation_rng(sK49_skl)=empty_set)),
% 0.03/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.03/0.40 fof(f675,plain,(
% 0.03/0.40 relation_rng(sK49_skl)=empty_set|~sQ1_spl),
% 0.03/0.40 inference(component_clause,[status(thm)],[f674])).
% 0.03/0.40 fof(f677,plain,(
% 0.03/0.40 sQ0_spl|sQ1_spl),
% 0.03/0.40 inference(split_clause,[status(thm)],[f624,f671,f674])).
% 0.03/0.40 fof(f726,plain,(
% 0.03/0.40 empty(sK49_skl)|~relation(sK49_skl)|~empty(empty_set)|~sQ0_spl),
% 0.03/0.40 inference(paramodulation,[status(thm)],[f672,f384])).
% 0.03/0.40 fof(f727,definition,(
% 0.03/0.40 sQ2_spl <=> (empty(empty_set))),
% 0.03/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.03/0.40 fof(f729,plain,(
% 0.03/0.40 ~empty(empty_set)|sQ2_spl),
% 0.03/0.40 inference(component_clause,[status(thm)],[f727])).
% 0.03/0.40 fof(f734,definition,(
% 0.03/0.40 sQ4_spl <=> (empty(sK49_skl))),
% 0.03/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.03/0.40 fof(f735,plain,(
% 0.03/0.40 empty(sK49_skl)|~sQ4_spl),
% 0.03/0.40 inference(component_clause,[status(thm)],[f734])).
% 0.03/0.40 fof(f737,definition,(
% 0.03/0.40 sQ5_spl <=> (relation(sK49_skl))),
% 0.03/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.03/0.40 fof(f739,plain,(
% 0.03/0.40 ~relation(sK49_skl)|sQ5_spl),
% 0.03/0.41 inference(component_clause,[status(thm)],[f737])).
% 0.03/0.41 fof(f740,plain,(
% 0.03/0.41 sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ0_spl),
% 0.03/0.41 inference(split_clause,[status(thm)],[f726,f734,f737,f727,f671])).
% 0.03/0.41 fof(f744,plain,(
% 0.03/0.41 $false|sQ2_spl),
% 0.03/0.41 inference(forward_subsumption_resolution,[status(thm)],[f367,f729])).
% 0.03/0.41 fof(f745,plain,(
% 0.03/0.41 sQ2_spl),
% 0.03/0.41 inference(contradiction_clause,[status(thm)],[f744])).
% 0.03/0.41 fof(f746,plain,(
% 0.03/0.41 $false|sQ5_spl),
% 0.03/0.41 inference(forward_subsumption_resolution,[status(thm)],[f739,f623])).
% 0.03/0.41 fof(f747,plain,(
% 0.03/0.41 sQ5_spl),
% 0.03/0.41 inference(contradiction_clause,[status(thm)],[f746])).
% 0.03/0.41 fof(f772,plain,(
% 0.03/0.41 empty(sK49_skl)|~relation(sK49_skl)|~empty(empty_set)|~sQ1_spl),
% 0.03/0.41 inference(paramodulation,[status(thm)],[f675,f386])).
% 0.03/0.41 fof(f773,plain,(
% 0.03/0.41 sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.03/0.41 inference(split_clause,[status(thm)],[f772,f734,f737,f727,f674])).
% 0.03/0.41 fof(f966,plain,(
% 0.03/0.41 sK49_skl=empty_set|~sQ4_spl),
% 0.03/0.41 inference(resolution,[status(thm)],[f632,f735])).
% 0.03/0.41 fof(f970,plain,(
% 0.03/0.41 $false|~sQ4_spl),
% 0.03/0.41 inference(forward_subsumption_resolution,[status(thm)],[f966,f625])).
% 0.03/0.41 fof(f971,plain,(
% 0.03/0.41 ~sQ4_spl),
% 0.03/0.41 inference(contradiction_clause,[status(thm)],[f970])).
% 0.03/0.41 fof(f972,plain,(
% 0.03/0.41 $false),
% 0.03/0.41 inference(sat_refutation,[status(thm)],[f677,f740,f745,f747,f773,f971])).
% 0.03/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.43 % Elapsed time: 0.059467 seconds
% 0.03/0.43 % CPU time: 0.182461 seconds
% 0.03/0.43 % Total memory used: 114.123 MB
% 0.03/0.43 % Net memory used: 113.899 MB
%------------------------------------------------------------------------------