%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET987+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:12:57 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 : SET987+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 05:46:36 UTC 2026
% 0.07/0.35 % 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(f8,conjecture,(
% 0.11/0.38 (! [A,B] :( ~ in(A,B)=> set_difference(set_union2(B,singleton(A)),singleton(A)) = B ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,negated_conjecture,(
% 0.11/0.38 ~((! [A,B] :( ~ in(A,B)=> set_difference(set_union2(B,singleton(A)),singleton(A)) = B ) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f8])).
% 0.11/0.38 fof(f10,axiom,(
% 0.11/0.38 (! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f11,axiom,(
% 0.11/0.38 (! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f27,plain,(
% 0.11/0.38 (?[A,B]: (~in(A,B)&~set_difference(set_union2(B,singleton(A)),singleton(A))=B))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.11/0.38 fof(f28,plain,(
% 0.11/0.38 (~in(sK2_skl,sK3_skl)&~set_difference(set_union2(sK3_skl,singleton(sK2_skl)),singleton(sK2_skl))=sK3_skl)),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f27])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 ~in(sK2_skl,sK3_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ~set_difference(set_union2(sK3_skl,singleton(sK2_skl)),singleton(sK2_skl))=sK3_skl),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.38 fof(f31,plain,(
% 0.11/0.38 ![X0,X1]: (set_difference(set_union2(X0,X1),X1)=set_difference(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![A,B]: ((~set_difference(A,singleton(B))=A|~in(B,A))&(set_difference(A,singleton(B))=A|in(B,A)))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f11])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 (![A,B]: (~set_difference(A,singleton(B))=A|~in(B,A)))&(![A,B]: (set_difference(A,singleton(B))=A|in(B,A)))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f32])).
% 0.11/0.38 fof(f35,plain,(
% 0.11/0.38 ![X0,X1]: (set_difference(X0,singleton(X1))=X0|in(X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 ~set_difference(sK3_skl,singleton(sK2_skl))=sK3_skl),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f31,f30])).
% 0.11/0.38 fof(f44,plain,(
% 0.11/0.38 set_difference(sK3_skl,singleton(sK2_skl))=sK3_skl),
% 0.11/0.38 inference(resolution,[status(thm)],[f35,f29])).
% 0.11/0.38 fof(f58,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f44,f40])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.048246 seconds
% 0.11/0.40 % CPU time: 0.142552 seconds
% 0.11/0.40 % Total memory used: 98.115 MB
% 0.11/0.40 % Net memory used: 97.667 MB
%------------------------------------------------------------------------------