%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU137+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 : n006.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 02:21:45 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU137+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
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:52:12 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f25,lemma,(
% 0.11/0.38 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f38,lemma,(
% 0.11/0.38 (! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) )),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f43,conjecture,(
% 0.11/0.38 (! [A,B] :( subset(A,B)=> B = set_union2(A,set_difference(B,A)) ) )),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f44,negated_conjecture,(
% 0.11/0.38 ~((! [A,B] :( subset(A,B)=> B = set_union2(A,set_difference(B,A)) ) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f43])).
% 0.11/0.38 fof(f127,plain,(
% 0.11/0.38 ![A,B]: (~subset(A,B)|set_union2(A,B)=B)),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.11/0.38 fof(f128,plain,(
% 0.11/0.38 ![X0,X1]: (~subset(X0,X1)|set_union2(X0,X1)=X1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f127])).
% 0.11/0.38 fof(f156,plain,(
% 0.11/0.38 ![X0,X1]: (set_union2(X0,set_difference(X1,X0))=set_union2(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/0.38 fof(f167,plain,(
% 0.11/0.38 (?[A,B]: (subset(A,B)&~B=set_union2(A,set_difference(B,A))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.11/0.38 fof(f168,plain,(
% 0.11/0.38 (subset(sK9_skl,sK10_skl)&~sK10_skl=set_union2(sK9_skl,set_difference(sK10_skl,sK9_skl)))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(A,sK9_skl),skolemize(B,sK10_skl)],[f167])).
% 0.11/0.38 fof(f169,plain,(
% 0.11/0.38 subset(sK9_skl,sK10_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f168])).
% 0.11/0.38 fof(f170,plain,(
% 0.11/0.38 ~sK10_skl=set_union2(sK9_skl,set_difference(sK10_skl,sK9_skl))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f168])).
% 0.11/0.38 fof(f200,plain,(
% 0.11/0.38 ~sK10_skl=set_union2(sK9_skl,sK10_skl)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f156,f170])).
% 0.11/0.38 fof(f207,plain,(
% 0.11/0.38 set_union2(sK9_skl,sK10_skl)=sK10_skl),
% 0.11/0.38 inference(resolution,[status(thm)],[f128,f169])).
% 0.11/0.38 fof(f209,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f207,f200])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.051822 seconds
% 0.11/0.41 % CPU time: 0.167804 seconds
% 0.11/0.41 % Total memory used: 100.888 MB
% 0.11/0.41 % Net memory used: 100.788 MB
%------------------------------------------------------------------------------