%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET095+4 : TPTP v9.3.1. Released v2.2.0.
% 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 02:11:31 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET095+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 04:52:40 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,conjecture,(
% 0.12/0.41 (! [A,X] :( member(X,A)=> subset(singleton(X),A) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f13,negated_conjecture,(
% 0.12/0.41 ~((! [A,X] :( member(X,A)=> subset(singleton(X),A) ) ))),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.41 fof(f14,plain,(
% 0.12/0.41 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f14])).
% 0.12/0.41 fof(f16,plain,(
% 0.12/0.41 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.41 fof(f17,plain,(
% 0.12/0.41 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.12/0.41 fof(f19,plain,(
% 0.12/0.41 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.41 fof(f20,plain,(
% 0.12/0.41 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.41 fof(f46,plain,(
% 0.12/0.41 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f47,plain,(
% 0.12/0.41 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f46])).
% 0.12/0.41 fof(f48,plain,(
% 0.12/0.41 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.41 fof(f68,plain,(
% 0.12/0.41 (?[A,X]: (member(X,A)&~subset(singleton(X),A)))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.41 fof(f69,plain,(
% 0.12/0.41 (member(sK4_skl,sK3_skl)&~subset(singleton(sK4_skl),sK3_skl))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(X,sK4_skl)],[f68])).
% 0.12/0.41 fof(f70,plain,(
% 0.12/0.41 member(sK4_skl,sK3_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.41 fof(f71,plain,(
% 0.12/0.41 ~subset(singleton(sK4_skl),sK3_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.41 fof(f78,plain,(
% 0.12/0.41 ![X0,X1]: (subset(singleton(X0),X1)|sK0_skl(X1,singleton(X0))=X0)),
% 0.12/0.41 inference(resolution,[status(thm)],[f19,f48])).
% 0.12/0.41 fof(f79,plain,(
% 0.12/0.41 sK0_skl(sK3_skl,singleton(sK4_skl))=sK4_skl),
% 0.12/0.41 inference(resolution,[status(thm)],[f78,f71])).
% 0.12/0.41 fof(f87,plain,(
% 0.12/0.41 subset(singleton(sK4_skl),sK3_skl)|~member(sK4_skl,sK3_skl)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f79,f20])).
% 0.12/0.41 fof(f90,plain,(
% 0.12/0.41 ~member(sK4_skl,sK3_skl)),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f87,f71])).
% 0.12/0.41 fof(f91,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(backward_subsumption_resolution,[status(thm)],[f70,f90])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.062145 seconds
% 0.12/0.44 % CPU time: 0.173257 seconds
% 0.12/0.44 % Total memory used: 80.651 MB
% 0.12/0.44 % Net memory used: 80.378 MB
%------------------------------------------------------------------------------