%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU125+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 26.21s 3.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU125+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:56:07 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 26.21/3.81 % Refutation found
% 26.21/3.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.21/3.81 % SZS output start CNFRefutation for theBenchmark
% 26.21/3.81 fof(f2,axiom,(
% 26.21/3.81 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 26.21/3.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.21/3.81 fof(f3,axiom,(
% 26.21/3.81 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 26.21/3.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.21/3.81 fof(f4,axiom,(
% 26.21/3.81 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 26.21/3.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.21/3.81 fof(f18,conjecture,(
% 26.21/3.81 (! [A,B,C] :( ( subset(A,B)& subset(C,B) )=> subset(set_union2(A,C),B) ) )),
% 26.21/3.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.21/3.81 fof(f19,negated_conjecture,(
% 26.21/3.81 ~((! [A,B,C] :( ( subset(A,B)& subset(C,B) )=> subset(set_union2(A,C),B) ) ))),
% 26.21/3.81 inference(negated_conjecture,[status(cth)],[f18])).
% 26.21/3.81 fof(f22,plain,(
% 26.21/3.81 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f2])).
% 26.21/3.81 fof(f23,plain,(
% 26.21/3.81 ![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)))))))),
% 26.21/3.81 inference(NNF_transformation,[status(thm)],[f3])).
% 26.21/3.81 fof(f24,plain,(
% 26.21/3.81 (![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)))))))),
% 26.21/3.81 inference(miniscoping,[status(thm)],[f23])).
% 26.21/3.81 fof(f25,plain,(
% 26.21/3.81 (![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))))))),
% 26.21/3.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f24])).
% 26.21/3.81 fof(f26,plain,(
% 26.21/3.81 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|~in(X3,X0)|in(X3,X1)|in(X3,X2))),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f25])).
% 26.21/3.81 fof(f32,plain,(
% 26.21/3.81 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 26.21/3.81 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 26.21/3.81 fof(f33,plain,(
% 26.21/3.81 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 26.21/3.81 inference(NNF_transformation,[status(thm)],[f32])).
% 26.21/3.81 fof(f34,plain,(
% 26.21/3.81 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 26.21/3.81 inference(miniscoping,[status(thm)],[f33])).
% 26.21/3.81 fof(f35,plain,(
% 26.21/3.81 (![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))))),
% 26.21/3.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f34])).
% 26.21/3.81 fof(f36,plain,(
% 26.21/3.81 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f35])).
% 26.21/3.81 fof(f37,plain,(
% 26.21/3.81 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f35])).
% 26.21/3.81 fof(f38,plain,(
% 26.21/3.81 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f35])).
% 26.21/3.81 fof(f63,plain,(
% 26.21/3.81 (?[A,B,C]: ((subset(A,B)&subset(C,B))&~subset(set_union2(A,C),B)))),
% 26.21/3.81 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 26.21/3.81 fof(f64,plain,(
% 26.21/3.81 ((subset(sK4_skl,sK5_skl)&subset(sK6_skl,sK5_skl))&~subset(set_union2(sK4_skl,sK6_skl),sK5_skl))),
% 26.21/3.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl),skolemize(C,sK6_skl)],[f63])).
% 26.21/3.81 fof(f65,plain,(
% 26.21/3.81 subset(sK4_skl,sK5_skl)),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f64])).
% 26.21/3.81 fof(f66,plain,(
% 26.21/3.81 subset(sK6_skl,sK5_skl)),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f64])).
% 26.21/3.81 fof(f67,plain,(
% 26.21/3.81 ~subset(set_union2(sK4_skl,sK6_skl),sK5_skl)),
% 26.21/3.81 inference(cnf_transformation,[status(thm)],[f64])).
% 26.21/3.81 fof(f68,plain,(
% 26.21/3.81 ![X0,X1,X2]: (~in(X0,set_union2(X1,X2))|in(X0,X1)|in(X0,X2))),
% 26.21/3.81 inference(destructive_equality_resolution,[status(thm)],[f26])).
% 26.21/3.81 fof(f75,plain,(
% 26.21/3.81 ![X0]: (~in(X0,sK6_skl)|in(X0,sK5_skl))),
% 26.17/3.84 inference(resolution,[status(thm)],[f36,f66])).
% 26.17/3.84 fof(f76,plain,(
% 26.17/3.84 ![X0]: (~in(X0,sK4_skl)|in(X0,sK5_skl))),
% 26.17/3.84 inference(resolution,[status(thm)],[f36,f65])).
% 26.17/3.84 fof(f112,plain,(
% 26.17/3.84 ![X0,X1,X2]: (subset(set_union2(X0,X1),X2)|in(sK1_skl(X2,set_union2(X0,X1)),X0)|in(sK1_skl(X2,set_union2(X0,X1)),X1))),
% 26.17/3.84 inference(resolution,[status(thm)],[f37,f68])).
% 26.17/3.84 fof(f400,plain,(
% 26.17/3.84 ![X0,X1]: (subset(set_union2(sK6_skl,X0),X1)|in(sK1_skl(X1,set_union2(sK6_skl,X0)),X0)|in(sK1_skl(X1,set_union2(sK6_skl,X0)),sK5_skl))),
% 26.17/3.84 inference(resolution,[status(thm)],[f112,f75])).
% 26.17/3.84 fof(f719,plain,(
% 26.17/3.84 ![X0]: (subset(set_union2(sK6_skl,X0),sK5_skl)|in(sK1_skl(sK5_skl,set_union2(sK6_skl,X0)),X0)|subset(set_union2(sK6_skl,X0),sK5_skl))),
% 26.17/3.84 inference(resolution,[status(thm)],[f400,f38])).
% 26.17/3.84 fof(f740,plain,(
% 26.17/3.84 ![X0]: (subset(set_union2(sK6_skl,X0),sK5_skl)|in(sK1_skl(sK5_skl,set_union2(sK6_skl,X0)),X0))),
% 26.17/3.84 inference(duplicate_literals_removal,[status(thm)],[f719])).
% 26.17/3.84 fof(f2438,plain,(
% 26.17/3.84 subset(set_union2(sK6_skl,sK4_skl),sK5_skl)|in(sK1_skl(sK5_skl,set_union2(sK6_skl,sK4_skl)),sK5_skl)),
% 26.17/3.84 inference(resolution,[status(thm)],[f740,f76])).
% 26.17/3.84 fof(f2451,plain,(
% 26.17/3.84 subset(set_union2(sK6_skl,sK4_skl),sK5_skl)),
% 26.17/3.84 inference(forward_subsumption_resolution,[status(thm)],[f2438,f38])).
% 26.17/3.84 fof(f19542,plain,(
% 26.17/3.84 subset(set_union2(sK4_skl,sK6_skl),sK5_skl)),
% 26.17/3.84 inference(paramodulation,[status(thm)],[f22,f2451])).
% 26.17/3.84 fof(f19544,plain,(
% 26.17/3.84 $false),
% 26.17/3.84 inference(forward_subsumption_resolution,[status(thm)],[f19542,f67])).
% 26.17/3.84 % SZS output end CNFRefutation for theBenchmark.p
% 26.17/3.86 % Elapsed time: 3.494282 seconds
% 26.17/3.86 % CPU time: 27.409205 seconds
% 26.17/3.86 % Total memory used: 296.555 MB
% 26.17/3.86 % Net memory used: 273.132 MB
%------------------------------------------------------------------------------