%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET886+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 : n001.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 02:12:49 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET886+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.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 05:48:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (! [A,B,C] :( subset(unordered_pair(A,B),singleton(C))=> A = C ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,conjecture,(
% 0.13/0.40 (! [A,B,C] :( subset(unordered_pair(A,B),singleton(C))=> unordered_pair(A,B) = singleton(C) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,negated_conjecture,(
% 0.13/0.40 ~((! [A,B,C] :( subset(unordered_pair(A,B),singleton(C))=> unordered_pair(A,B) = singleton(C) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f6])).
% 0.13/0.40 fof(f8,axiom,(
% 0.13/0.40 (! [A] : unordered_pair(A,A) = singleton(A) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ![A,B,C]: (~subset(unordered_pair(A,B),singleton(C))|A=C)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![A,C]: ((![B]: ~subset(unordered_pair(A,B),singleton(C)))|A=C)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~subset(unordered_pair(X0,X1),singleton(X2))|X0=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 (?[A,B,C]: (subset(unordered_pair(A,B),singleton(C))&~unordered_pair(A,B)=singleton(C)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 (subset(unordered_pair(sK2_skl,sK3_skl),singleton(sK4_skl))&~unordered_pair(sK2_skl,sK3_skl)=singleton(sK4_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f19])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 subset(unordered_pair(sK2_skl,sK3_skl),singleton(sK4_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ~unordered_pair(sK2_skl,sK3_skl)=singleton(sK4_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~subset(unordered_pair(X0,X1),singleton(X2))|X1=X2)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f18])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 sK2_skl=sK4_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f21,f18])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 subset(unordered_pair(sK2_skl,sK3_skl),singleton(sK2_skl))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f31,f21])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 ~unordered_pair(sK2_skl,sK3_skl)=singleton(sK2_skl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f31,f22])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 sK3_skl=sK2_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f29,f32])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ~unordered_pair(sK2_skl,sK2_skl)=singleton(sK2_skl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f36,f33])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 ~singleton(sK2_skl)=singleton(sK2_skl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f23,f40])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f42])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.046840 seconds
% 0.13/0.42 % CPU time: 0.151434 seconds
% 0.13/0.42 % Total memory used: 62.139 MB
% 0.13/0.42 % Net memory used: 61.634 MB
%------------------------------------------------------------------------------