%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU142+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 : n010.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 02:21:46 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU142+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n010.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 05:52:54 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f3,axiom,(
% 0.15/0.47 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f4,axiom,(
% 0.15/0.47 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f8,conjecture,(
% 0.15/0.47 (! [A] : unordered_pair(A,A) = singleton(A) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f9,negated_conjecture,(
% 0.15/0.47 ~((! [A] : unordered_pair(A,A) = singleton(A) ))),
% 0.15/0.47 inference(negated_conjecture,[status(cth)],[f8])).
% 0.15/0.47 fof(f13,plain,(
% 0.15/0.47 ![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)))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f3])).
% 0.15/0.47 fof(f14,plain,(
% 0.15/0.47 (![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)))))),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f13])).
% 0.15/0.47 fof(f15,plain,(
% 0.15/0.47 (![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))))),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f14])).
% 0.15/0.47 fof(f18,plain,(
% 0.15/0.47 ![X0,X1]: (X0=singleton(X1)|~in(sK0_skl(X0,X1),X0)|~sK0_skl(X0,X1)=X1)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.47 fof(f19,plain,(
% 0.15/0.47 ![X0,X1]: (X0=singleton(X1)|in(sK0_skl(X0,X1),X0)|sK0_skl(X0,X1)=X1)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.47 fof(f20,plain,(
% 0.15/0.47 ![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))))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f4])).
% 0.15/0.47 fof(f21,plain,(
% 0.15/0.47 (![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))))))),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f20])).
% 0.15/0.47 fof(f22,plain,(
% 0.15/0.47 (![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)))))),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f21])).
% 0.15/0.47 fof(f23,plain,(
% 0.15/0.47 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.47 fof(f25,plain,(
% 0.15/0.47 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.47 fof(f34,plain,(
% 0.15/0.47 (?[A]: ~unordered_pair(A,A)=singleton(A))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/0.47 fof(f35,plain,(
% 0.15/0.47 ~unordered_pair(sK3_skl,sK3_skl)=singleton(sK3_skl)),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f34])).
% 0.15/0.47 fof(f36,plain,(
% 0.15/0.47 ~unordered_pair(sK3_skl,sK3_skl)=singleton(sK3_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.47 fof(f39,plain,(
% 0.15/0.47 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f23])).
% 0.15/0.47 fof(f41,plain,(
% 0.15/0.47 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f25])).
% 0.15/0.47 fof(f63,plain,(
% 0.15/0.47 ![X0,X1,X2]: (unordered_pair(X0,X1)=singleton(X2)|sK0_skl(unordered_pair(X0,X1),X2)=X2|sK0_skl(unordered_pair(X0,X1),X2)=X0|sK0_skl(unordered_pair(X0,X1),X2)=X1)),
% 0.15/0.47 inference(resolution,[status(thm)],[f19,f39])).
% 0.15/0.47 fof(f76,plain,(
% 0.15/0.47 ![X0,X1,X2]: (unordered_pair(X0,X1)=singleton(X2)|sK0_skl(unordered_pair(X0,X1),X2)=X1|~X2=X0|sK0_skl(unordered_pair(X0,X1),X2)=X0)),
% 0.15/0.47 inference(equality_factoring,[status(thm)],[f63])).
% 0.15/0.47 fof(f81,plain,(
% 0.15/0.47 ![X0,X1]: (unordered_pair(X0,X1)=singleton(X0)|sK0_skl(unordered_pair(X0,X1),X0)=X1|sK0_skl(unordered_pair(X0,X1),X0)=X0)),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f76])).
% 0.15/0.47 fof(f123,plain,(
% 0.15/0.47 ![X0,X1]: (unordered_pair(X0,X1)=singleton(X0)|~X1=X0|sK0_skl(unordered_pair(X0,X1),X0)=X0)),
% 0.15/0.47 inference(equality_factoring,[status(thm)],[f81])).
% 0.15/0.47 fof(f128,plain,(
% 0.15/0.47 ![X0]: (unordered_pair(X0,X0)=singleton(X0)|sK0_skl(unordered_pair(X0,X0),X0)=X0)),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f123])).
% 0.15/0.47 fof(f135,plain,(
% 0.15/0.47 ![X0]: (unordered_pair(X0,X0)=singleton(X0)|~in(X0,unordered_pair(X0,X0))|~sK0_skl(unordered_pair(X0,X0),X0)=X0|unordered_pair(X0,X0)=singleton(X0))),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f128,f18])).
% 0.15/0.47 fof(f138,plain,(
% 0.15/0.47 ![X0]: (unordered_pair(X0,X0)=singleton(X0)|~in(X0,unordered_pair(X0,X0))|~sK0_skl(unordered_pair(X0,X0),X0)=X0)),
% 0.15/0.47 inference(duplicate_literals_removal,[status(thm)],[f135])).
% 0.15/0.47 fof(f139,plain,(
% 0.15/0.47 ![X0]: (unordered_pair(X0,X0)=singleton(X0)|~sK0_skl(unordered_pair(X0,X0),X0)=X0)),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f138,f41])).
% 0.15/0.47 fof(f140,plain,(
% 0.15/0.47 ~singleton(sK3_skl)=singleton(sK3_skl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f142,f36])).
% 0.15/0.47 fof(f142,plain,(
% 0.15/0.47 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f139,f128])).
% 0.15/0.47 fof(f150,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(trivial_equality_resolution,[status(thm)],[f140])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.100505 seconds
% 0.15/0.55 % CPU time: 0.139308 seconds
% 0.15/0.55 % Total memory used: 22.570 MB
% 0.15/0.55 % Net memory used: 22.525 MB
%------------------------------------------------------------------------------