%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU126+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 : 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 02:21:43 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU126+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
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:51:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f2,axiom,(
% 0.14/0.44 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f4,axiom,(
% 0.14/0.44 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f5,axiom,(
% 0.14/0.44 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f15,conjecture,(
% 0.14/0.44 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f16,negated_conjecture,(
% 0.14/0.44 ~((! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) ))),
% 0.14/0.44 inference(negated_conjecture,[status(cth)],[f15])).
% 0.14/0.44 fof(f23,plain,(
% 0.14/0.44 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f29,plain,(
% 0.14/0.44 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.14/0.44 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.44 fof(f30,plain,(
% 0.14/0.44 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f29])).
% 0.14/0.44 fof(f31,plain,(
% 0.14/0.44 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sK0_skl(C,B,A),C)|(~in(sK0_skl(C,B,A),A)&~in(sK0_skl(C,B,A),B)))&(in(sK0_skl(C,B,A),C)|(in(sK0_skl(C,B,A),A)|in(sK0_skl(C,B,A),B))))))),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f30])).
% 0.14/0.44 fof(f35,plain,(
% 0.14/0.44 ![X0,X1,X2]: (X0=set_union2(X1,X2)|~in(sK0_skl(X0,X2,X1),X0)|~in(sK0_skl(X0,X2,X1),X1))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.44 fof(f37,plain,(
% 0.14/0.44 ![X0,X1,X2]: (X0=set_union2(X1,X2)|in(sK0_skl(X0,X2,X1),X0)|in(sK0_skl(X0,X2,X1),X1)|in(sK0_skl(X0,X2,X1),X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.44 fof(f38,plain,(
% 0.14/0.44 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.14/0.44 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.44 fof(f39,plain,(
% 0.14/0.44 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.44 inference(NNF_transformation,[status(thm)],[f38])).
% 0.14/0.44 fof(f40,plain,(
% 0.14/0.44 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f39])).
% 0.14/0.44 fof(f41,plain,(
% 0.14/0.44 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f40])).
% 0.14/0.44 fof(f42,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.44 fof(f60,plain,(
% 0.14/0.44 (?[A,B]: (subset(A,B)&~set_union2(A,B)=B))),
% 0.14/0.44 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.14/0.44 fof(f61,plain,(
% 0.14/0.44 (subset(sK4_skl,sK5_skl)&~set_union2(sK4_skl,sK5_skl)=sK5_skl)),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f60])).
% 0.14/0.44 fof(f62,plain,(
% 0.14/0.44 subset(sK4_skl,sK5_skl)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/0.44 fof(f63,plain,(
% 0.14/0.44 ~set_union2(sK4_skl,sK5_skl)=sK5_skl),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/0.44 fof(f150,plain,(
% 0.14/0.44 ![X0]: (~in(X0,sK4_skl)|in(X0,sK5_skl))),
% 0.14/0.44 inference(resolution,[status(thm)],[f42,f62])).
% 0.14/0.44 fof(f166,plain,(
% 0.14/0.44 ![X0,X1]: (in(sK0_skl(X0,sK4_skl,X1),sK5_skl)|X0=set_union2(X1,sK4_skl)|in(sK0_skl(X0,sK4_skl,X1),X0)|in(sK0_skl(X0,sK4_skl,X1),X1))),
% 0.14/0.44 inference(resolution,[status(thm)],[f150,f37])).
% 0.14/0.44 fof(f237,plain,(
% 0.14/0.44 sK5_skl=set_union2(sK5_skl,sK4_skl)|sK5_skl=set_union2(sK5_skl,sK4_skl)),
% 0.14/0.44 inference(resolution,[status(thm)],[f166,f35])).
% 0.14/0.44 fof(f301,plain,(
% 0.14/0.44 sK5_skl=set_union2(sK4_skl,sK5_skl)|sK5_skl=set_union2(sK5_skl,sK4_skl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f23,f237])).
% 0.14/0.44 fof(f302,plain,(
% 0.14/0.44 sK5_skl=set_union2(sK4_skl,sK5_skl)|sK5_skl=set_union2(sK4_skl,sK5_skl)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f23,f301])).
% 0.14/0.44 fof(f303,plain,(
% 0.14/0.44 sK5_skl=set_union2(sK4_skl,sK5_skl)),
% 0.14/0.44 inference(duplicate_literals_removal,[status(thm)],[f302])).
% 0.14/0.44 fof(f304,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f303,f63])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.073236 seconds
% 0.14/0.45 % CPU time: 0.348887 seconds
% 0.14/0.45 % Total memory used: 105.193 MB
% 0.14/0.45 % Net memory used: 104.495 MB
%------------------------------------------------------------------------------