%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET874+1 : 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 : n008.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 02:12:47 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET874+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:43:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,conjecture,(
% 0.09/0.40 (! [A,B] : set_union2(singleton(A),unordered_pair(A,B)) = unordered_pair(A,B) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,negated_conjecture,(
% 0.09/0.40 ~((! [A,B] : set_union2(singleton(A),unordered_pair(A,B)) = unordered_pair(A,B) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f11])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![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))))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 (![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))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 (![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(sK0_skl(C,B,A),C)|(~sK0_skl(C,B,A)=A&~sK0_skl(C,B,A)=B))&(in(sK0_skl(C,B,A),C)|(sK0_skl(C,B,A)=A|sK0_skl(C,B,A)=B)))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f18])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ![A,B]: (~in(A,B)|set_union2(singleton(A),B)=B)),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 ![X0,X1]: (~in(X0,X1)|set_union2(singleton(X0),X1)=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 (?[A,B]: ~set_union2(singleton(A),unordered_pair(A,B))=unordered_pair(A,B))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ~set_union2(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl))=unordered_pair(sK3_skl,sK4_skl)),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f40])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 ~set_union2(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl))=unordered_pair(sK3_skl,sK4_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f21])).
% 0.09/0.40 fof(f57,plain,(
% 0.09/0.40 ![X0,X1]: (set_union2(singleton(X0),unordered_pair(X0,X1))=unordered_pair(X0,X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f44,f35])).
% 0.09/0.40 fof(f60,plain,(
% 0.09/0.40 ~unordered_pair(sK3_skl,sK4_skl)=unordered_pair(sK3_skl,sK4_skl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f57,f42])).
% 0.09/0.40 fof(f63,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f60])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.060410 seconds
% 0.09/0.42 % CPU time: 0.149961 seconds
% 0.09/0.42 % Total memory used: 101.439 MB
% 0.09/0.42 % Net memory used: 101.027 MB
%------------------------------------------------------------------------------