%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU149+3 : 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 : n019.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 02:21:48 PM UTC 2026
% Result : Theorem 0.20s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU149+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n019.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 05:53:20 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.48 % Refutation found
% 0.20/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.48 fof(f3,axiom,(
% 0.20/0.48 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f4,axiom,(
% 0.20/0.48 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f7,conjecture,(
% 0.20/0.48 (! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> A = B ) )),
% 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f8,negated_conjecture,(
% 0.20/0.48 ~((! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> A = B ) ))),
% 0.20/0.48 inference(negated_conjecture,[status(cth)],[f7])).
% 0.20/0.48 fof(f12,plain,(
% 0.20/0.48 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.20/0.48 inference(NNF_transformation,[status(thm)],[f3])).
% 0.20/0.48 fof(f13,plain,(
% 0.20/0.48 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.20/0.48 inference(miniscoping,[status(thm)],[f12])).
% 0.20/0.48 fof(f14,plain,(
% 0.20/0.48 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 0.20/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f13])).
% 0.20/0.48 fof(f15,plain,(
% 0.20/0.48 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.20/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.20/0.48 fof(f19,plain,(
% 0.20/0.48 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.20/0.48 inference(NNF_transformation,[status(thm)],[f4])).
% 0.20/0.48 fof(f20,plain,(
% 0.20/0.48 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.20/0.48 inference(miniscoping,[status(thm)],[f19])).
% 0.20/0.48 fof(f21,plain,(
% 0.20/0.48 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sK1_skl(C,B,A),C)|(~sK1_skl(C,B,A)=A&~sK1_skl(C,B,A)=B))&(in(sK1_skl(C,B,A),C)|(sK1_skl(C,B,A)=A|sK1_skl(C,B,A)=B)))))),
% 0.20/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f20])).
% 0.20/0.48 fof(f23,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.20/0.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.20/0.48 fof(f32,plain,(
% 0.20/0.48 (?[A,B,C]: (singleton(A)=unordered_pair(B,C)&~A=B))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.20/0.48 fof(f33,plain,(
% 0.20/0.48 ?[A,B]: ((?[C]: singleton(A)=unordered_pair(B,C))&~A=B)),
% 0.20/0.48 inference(miniscoping,[status(thm)],[f32])).
% 0.20/0.48 fof(f34,plain,(
% 0.20/0.48 (singleton(sK4_skl)=unordered_pair(sK5_skl,sK6_skl)&~sK4_skl=sK5_skl)),
% 0.20/0.48 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)],[f33])).
% 0.20/0.48 fof(f35,plain,(
% 0.20/0.48 singleton(sK4_skl)=unordered_pair(sK5_skl,sK6_skl)),
% 0.20/0.48 inference(cnf_transformation,[status(thm)],[f34])).
% 0.20/0.48 fof(f36,plain,(
% 0.20/0.48 ~sK4_skl=sK5_skl),
% 0.20/0.48 inference(cnf_transformation,[status(thm)],[f34])).
% 0.20/0.48 fof(f37,plain,(
% 0.20/0.48 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.20/0.48 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.20/0.48 fof(f40,plain,(
% 0.20/0.48 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.20/0.48 inference(destructive_equality_resolution,[status(thm)],[f23])).
% 0.20/0.48 fof(f42,plain,(
% 0.20/0.48 in(sK5_skl,singleton(sK4_skl))),
% 0.20/0.48 inference(paramodulation,[status(thm)],[f35,f40])).
% 0.20/0.48 fof(f56,plain,(
% 0.20/0.48 sK5_skl=sK4_skl),
% 0.20/0.48 inference(resolution,[status(thm)],[f37,f42])).
% 0.20/0.48 fof(f58,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f56,f36])).
% 0.20/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.55 % Elapsed time: 0.089684 seconds
% 0.20/0.55 % CPU time: 0.100122 seconds
% 0.20/0.55 % Total memory used: 3.179 MB
% 0.20/0.55 % Net memory used: 3.179 MB
%------------------------------------------------------------------------------