%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU155+2 : 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 : n007.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 02:21:49 PM UTC 2026
% Result : Theorem 3.39s 0.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU155+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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 05:51:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 3.39/0.86 % Refutation found
% 3.39/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.39/0.86 % SZS output start CNFRefutation for theBenchmark
% 3.39/0.86 fof(f12,axiom,(
% 3.39/0.86 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 3.39/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.39/0.86 fof(f14,axiom,(
% 3.39/0.86 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 3.39/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.39/0.86 fof(f40,conjecture,(
% 3.39/0.86 (! [A,B] :( in(A,B)=> subset(A,union(B)) ) )),
% 3.39/0.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.39/0.86 fof(f41,negated_conjecture,(
% 3.39/0.86 ~((! [A,B] :( in(A,B)=> subset(A,union(B)) ) ))),
% 3.39/0.86 inference(negated_conjecture,[status(cth)],[f40])).
% 3.39/0.86 fof(f131,plain,(
% 3.39/0.86 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 3.39/0.86 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 3.39/0.86 fof(f132,plain,(
% 3.39/0.86 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 3.39/0.86 inference(NNF_transformation,[status(thm)],[f131])).
% 3.39/0.86 fof(f133,plain,(
% 3.39/0.86 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 3.39/0.86 inference(miniscoping,[status(thm)],[f132])).
% 3.39/0.86 fof(f134,plain,(
% 3.39/0.86 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK5_skl(B,A),A)&~in(sK5_skl(B,A),B))))),
% 3.39/0.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(C,sK5_skl(B,A))],[f133])).
% 3.39/0.86 fof(f136,plain,(
% 3.39/0.86 ![X0,X1]: (subset(X0,X1)|in(sK5_skl(X1,X0),X0))),
% 3.39/0.86 inference(cnf_transformation,[status(thm)],[f134])).
% 3.39/0.86 fof(f137,plain,(
% 3.39/0.86 ![X0,X1]: (subset(X0,X1)|~in(sK5_skl(X1,X0),X1))),
% 3.39/0.86 inference(cnf_transformation,[status(thm)],[f134])).
% 3.39/0.86 fof(f147,plain,(
% 3.39/0.86 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 3.39/0.86 inference(NNF_transformation,[status(thm)],[f14])).
% 3.39/0.86 fof(f148,plain,(
% 3.39/0.86 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 3.39/0.86 inference(miniscoping,[status(thm)],[f147])).
% 3.39/0.86 fof(f149,plain,(
% 3.39/0.86 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sK7_skl(C,B,A))&in(sK7_skl(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sK8_skl(B,A),B)|(![D]: (~in(sK8_skl(B,A),D)|~in(D,A))))&(in(sK8_skl(B,A),B)|(in(sK8_skl(B,A),sK9_skl(B,A))&in(sK9_skl(B,A),A))))))),
% 3.39/0.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(D,sK7_skl(C,B,A)),skolemize(C,sK8_skl(B,A)),skolemize(D,sK9_skl(B,A))],[f148])).
% 3.39/0.86 fof(f152,plain,(
% 3.39/0.86 ![X0,X1,X2,X3]: (~X0=union(X1)|in(X2,X0)|~in(X2,X3)|~in(X3,X1))),
% 3.39/0.86 inference(cnf_transformation,[status(thm)],[f149])).
% 3.39/0.86 fof(f210,plain,(
% 3.39/0.86 (?[A,B]: (in(A,B)&~subset(A,union(B))))),
% 3.39/0.86 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 3.39/0.86 fof(f211,plain,(
% 3.39/0.86 (in(sK11_skl,sK12_skl)&~subset(sK11_skl,union(sK12_skl)))),
% 3.39/0.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl)],[f210])).
% 3.39/0.86 fof(f212,plain,(
% 3.39/0.86 in(sK11_skl,sK12_skl)),
% 3.39/0.86 inference(cnf_transformation,[status(thm)],[f211])).
% 3.39/0.86 fof(f213,plain,(
% 3.39/0.86 ~subset(sK11_skl,union(sK12_skl))),
% 3.39/0.86 inference(cnf_transformation,[status(thm)],[f211])).
% 3.39/0.86 fof(f322,plain,(
% 3.39/0.86 ![X0,X1,X2]: (in(X0,union(X1))|~in(X0,X2)|~in(X2,X1))),
% 3.39/0.86 inference(destructive_equality_resolution,[status(thm)],[f152])).
% 3.39/0.86 fof(f658,plain,(
% 3.39/0.86 ![X0,X1,X2]: (subset(X0,union(X1))|~in(sK5_skl(union(X1),X0),X2)|~in(X2,X1))),
% 3.39/0.86 inference(resolution,[status(thm)],[f137,f322])).
% 3.39/0.86 fof(f1127,plain,(
% 3.39/0.86 ![X0,X1]: (subset(X0,union(X1))|~in(X0,X1)|subset(X0,union(X1)))),
% 3.39/0.86 inference(resolution,[status(thm)],[f658,f136])).
% 3.39/0.86 fof(f1135,plain,(
% 3.39/0.86 ![X0,X1]: (subset(X0,union(X1))|~in(X0,X1))),
% 3.39/0.86 inference(duplicate_literals_removal,[status(thm)],[f1127])).
% 3.39/0.86 fof(f2522,plain,(
% 3.39/0.86 ~in(sK11_skl,sK12_skl)),
% 3.39/0.86 inference(resolution,[status(thm)],[f1135,f213])).
% 3.39/0.86 fof(f2537,plain,(
% 3.39/0.86 $false),
% 3.39/0.86 inference(forward_subsumption_resolution,[status(thm)],[f2522,f212])).
% 3.39/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 3.39/0.87 % Elapsed time: 0.500869 seconds
% 3.39/0.87 % CPU time: 3.664433 seconds
% 3.39/0.87 % Total memory used: 142.989 MB
% 3.39/0.87 % Net memory used: 136.154 MB
%------------------------------------------------------------------------------