%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET347+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:11:56 PM UTC 2026
% Result : Theorem 0.23s 10.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET347+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.45 % Computer : n010.cluster.edu
% 0.18/10.45 % Model : x86_64 x86_64
% 0.18/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.45 % Memory : 8046.5625MB
% 0.18/10.45 % OS : Linux 6.8.0-71-generic
% 0.18/10.46 % CPULimit : 300
% 0.18/10.46 % WCLimit : 300
% 0.18/10.46 % DateTime : Mon Sep 21 05:10:54 UTC 2026
% 0.18/10.46 % CPUTime :
% 0.18/10.47 % Drodi V4.1.1
% 0.23/10.54 % Refutation found
% 0.23/10.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/10.54 % SZS output start CNFRefutation for theBenchmark
% 0.23/10.54 fof(f1,axiom,(
% 0.23/10.54 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.23/10.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/10.54 fof(f2,axiom,(
% 0.23/10.54 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.23/10.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/10.54 fof(f6,axiom,(
% 0.23/10.54 (! [X] : ~ member(X,empty_set) )),
% 0.23/10.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/10.54 fof(f10,axiom,(
% 0.23/10.54 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 0.23/10.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/10.54 fof(f12,conjecture,(
% 0.23/10.54 equal_set(sum(empty_set),empty_set) ),
% 0.23/10.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/10.54 fof(f13,negated_conjecture,(
% 0.23/10.54 ~(equal_set(sum(empty_set),empty_set) )),
% 0.23/10.54 inference(negated_conjecture,[status(cth)],[f12])).
% 0.23/10.54 fof(f14,plain,(
% 0.23/10.54 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.23/10.54 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.23/10.54 fof(f15,plain,(
% 0.23/10.54 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.23/10.54 inference(NNF_transformation,[status(thm)],[f14])).
% 0.23/10.54 fof(f16,plain,(
% 0.23/10.54 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.23/10.54 inference(miniscoping,[status(thm)],[f15])).
% 0.23/10.54 fof(f17,plain,(
% 0.23/10.54 (![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))))),
% 0.23/10.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.23/10.54 fof(f19,plain,(
% 0.23/10.54 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.23/10.54 inference(cnf_transformation,[status(thm)],[f17])).
% 0.23/10.54 fof(f21,plain,(
% 0.23/10.54 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.23/10.54 inference(NNF_transformation,[status(thm)],[f2])).
% 0.23/10.54 fof(f22,plain,(
% 0.23/10.54 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.23/10.54 inference(miniscoping,[status(thm)],[f21])).
% 0.23/10.54 fof(f25,plain,(
% 0.23/10.54 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.23/10.54 inference(cnf_transformation,[status(thm)],[f22])).
% 0.23/10.54 fof(f40,plain,(
% 0.23/10.54 ![X0]: (~member(X0,empty_set))),
% 0.23/10.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.23/10.54 fof(f55,plain,(
% 0.23/10.54 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 0.23/10.54 inference(NNF_transformation,[status(thm)],[f10])).
% 0.23/10.54 fof(f56,plain,(
% 0.23/10.54 (![X,A]: (~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 0.23/10.54 inference(miniscoping,[status(thm)],[f55])).
% 0.23/10.54 fof(f57,plain,(
% 0.23/10.54 (![X,A]: (~member(X,sum(A))|(member(sK1_skl(A,X),A)&member(X,sK1_skl(A,X)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 0.23/10.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(A,X))],[f56])).
% 0.23/10.54 fof(f58,plain,(
% 0.23/10.54 ![X0,X1]: (~member(X0,sum(X1))|member(sK1_skl(X1,X0),X1))),
% 0.23/10.54 inference(cnf_transformation,[status(thm)],[f57])).
% 0.23/10.54 fof(f68,plain,(
% 0.23/10.54 ~equal_set(sum(empty_set),empty_set)),
% 0.23/10.54 inference(cnf_transformation,[status(thm)],[f13])).
% 0.23/10.54 fof(f78,plain,(
% 0.23/10.54 ![X0]: (subset(empty_set,X0))),
% 0.23/10.54 inference(resolution,[status(thm)],[f19,f40])).
% 0.23/10.54 fof(f80,plain,(
% 0.23/10.54 ![X0]: (equal_set(X0,empty_set)|~subset(X0,empty_set))),
% 0.23/10.54 inference(resolution,[status(thm)],[f78,f25])).
% 0.23/10.54 fof(f91,plain,(
% 0.23/10.54 ![X0]: (~member(X0,sum(empty_set)))),
% 0.23/10.54 inference(resolution,[status(thm)],[f58,f40])).
% 0.23/10.54 fof(f106,plain,(
% 0.23/10.54 ![X0]: (subset(sum(empty_set),X0))),
% 0.23/10.54 inference(resolution,[status(thm)],[f91,f19])).
% 0.23/10.54 fof(f138,plain,(
% 0.23/10.54 equal_set(sum(empty_set),empty_set)),
% 0.23/10.54 inference(resolution,[status(thm)],[f106,f80])).
% 0.23/10.54 fof(f142,plain,(
% 0.23/10.54 $false),
% 0.23/10.54 inference(forward_subsumption_resolution,[status(thm)],[f138,f68])).
% 0.23/10.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/10.56 % Elapsed time: 0.089182 seconds
% 0.23/10.56 % CPU time: 0.340200 seconds
% 0.23/10.56 % Total memory used: 48.876 MB
% 0.23/10.56 % Net memory used: 48.366 MB
%------------------------------------------------------------------------------