%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU126+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 : n001.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 02:21:44 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU126+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n001.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 21 05:57:28 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.35 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,conjecture,(
% 0.12/0.39 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,negated_conjecture,(
% 0.12/0.39 ~((! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f22])).
% 0.12/0.39 fof(f32,lemma,(
% 0.12/0.39 (! [A,B] : subset(A,set_union2(A,B)) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,lemma,(
% 0.12/0.39 (! [A,B,C] :( ( subset(A,B)& subset(C,B) )=> subset(set_union2(A,C),B) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 (?[A,B]: (subset(A,B)&~set_union2(A,B)=B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 (subset(sK6_skl,sK7_skl)&~set_union2(sK6_skl,sK7_skl)=sK7_skl)),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl)],[f97])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 subset(sK6_skl,sK7_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f98])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 ~set_union2(sK6_skl,sK7_skl)=sK7_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f98])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f128,plain,(
% 0.12/0.39 ![A,B,C]: ((~subset(A,B)|~subset(C,B))|subset(set_union2(A,C),B))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f129,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|subset(set_union2(X0,X2),X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f128])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 ![X0]: (subset(X0,X0))),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f41])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f37,f124])).
% 0.12/0.39 fof(f261,plain,(
% 0.12/0.39 ![X0]: (~subset(X0,sK7_skl)|subset(set_union2(sK6_skl,X0),sK7_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f129,f99])).
% 0.12/0.39 fof(f400,plain,(
% 0.12/0.39 subset(set_union2(sK6_skl,sK7_skl),sK7_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f261,f130])).
% 0.12/0.39 fof(f407,plain,(
% 0.12/0.39 sK7_skl=set_union2(sK6_skl,sK7_skl)|~subset(sK7_skl,set_union2(sK6_skl,sK7_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f400,f43])).
% 0.12/0.39 fof(f410,definition,(
% 0.12/0.39 sQ4_spl <=> (sK7_skl=set_union2(sK6_skl,sK7_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f411,plain,(
% 0.12/0.39 sK7_skl=set_union2(sK6_skl,sK7_skl)|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f410])).
% 0.12/0.39 fof(f413,definition,(
% 0.12/0.39 sQ5_spl <=> (subset(sK7_skl,set_union2(sK6_skl,sK7_skl)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f415,plain,(
% 0.12/0.39 ~subset(sK7_skl,set_union2(sK6_skl,sK7_skl))|sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f413])).
% 0.12/0.39 fof(f416,plain,(
% 0.12/0.39 sQ4_spl|~sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f407,f410,f413])).
% 0.12/0.39 fof(f417,plain,(
% 0.12/0.39 $false|~sQ4_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f411,f100])).
% 0.12/0.39 fof(f418,plain,(
% 0.12/0.39 ~sQ4_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f417])).
% 0.12/0.39 fof(f419,plain,(
% 0.12/0.39 $false|sQ5_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f415,f146])).
% 0.12/0.39 fof(f420,plain,(
% 0.12/0.39 sQ5_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f419])).
% 0.12/0.39 fof(f421,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f416,f418,f420])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.072304 seconds
% 0.12/0.41 % CPU time: 0.229106 seconds
% 0.12/0.41 % Total memory used: 103.789 MB
% 0.12/0.41 % Net memory used: 103.537 MB
%------------------------------------------------------------------------------