%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU161+1 : 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 02:21:51 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU161+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:59:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f1,axiom,(
% 0.08/0.40 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f6,conjecture,(
% 0.08/0.40 (! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f7,negated_conjecture,(
% 0.08/0.40 ~((! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) ))),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f6])).
% 0.08/0.40 fof(f8,axiom,(
% 0.08/0.40 (! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f9,plain,(
% 0.08/0.40 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.40 fof(f14,plain,(
% 0.08/0.40 (?[A,B]: (in(A,B)&~set_union2(singleton(A),B)=B))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.40 fof(f15,plain,(
% 0.08/0.40 (in(sK0_skl,sK1_skl)&~set_union2(singleton(sK0_skl),sK1_skl)=sK1_skl)),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f14])).
% 0.08/0.40 fof(f16,plain,(
% 0.08/0.40 in(sK0_skl,sK1_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.40 fof(f17,plain,(
% 0.08/0.40 ~set_union2(singleton(sK0_skl),sK1_skl)=sK1_skl),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.40 fof(f18,plain,(
% 0.08/0.40 ![A,B]: (~in(A,B)|set_union2(singleton(A),B)=B)),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/0.40 fof(f19,plain,(
% 0.08/0.40 ![X0,X1]: (~in(X0,X1)|set_union2(singleton(X0),X1)=X1)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.40 fof(f20,plain,(
% 0.08/0.40 ~set_union2(sK1_skl,singleton(sK0_skl))=sK1_skl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f9,f17])).
% 0.08/0.40 fof(f27,plain,(
% 0.08/0.40 set_union2(singleton(sK0_skl),sK1_skl)=sK1_skl),
% 0.08/0.40 inference(resolution,[status(thm)],[f19,f16])).
% 0.08/0.40 fof(f28,plain,(
% 0.08/0.40 set_union2(sK1_skl,singleton(sK0_skl))=sK1_skl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f9,f27])).
% 0.08/0.40 fof(f29,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f28,f20])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.058773 seconds
% 0.08/0.43 % CPU time: 0.153585 seconds
% 0.08/0.43 % Total memory used: 66.223 MB
% 0.08/0.43 % Net memory used: 65.642 MB
%------------------------------------------------------------------------------