%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET355+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 : 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 02:11:57 PM UTC 2026
% Result : Theorem 0.24s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET355+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:16:29 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.24/0.49 % Refutation found
% 0.24/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.49 fof(f1,axiom,(
% 0.24/0.49 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.24/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.49 fof(f10,axiom,(
% 0.24/0.49 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 0.24/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.49 fof(f12,conjecture,(
% 0.24/0.49 (! [A,X] :( member(X,A)=> subset(X,sum(A)) ) )),
% 0.24/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.49 fof(f13,negated_conjecture,(
% 0.24/0.49 ~((! [A,X] :( member(X,A)=> subset(X,sum(A)) ) ))),
% 0.24/0.49 inference(negated_conjecture,[status(cth)],[f12])).
% 0.24/0.49 fof(f14,plain,(
% 0.24/0.49 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.24/0.49 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.24/0.49 fof(f15,plain,(
% 0.24/0.49 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.24/0.49 inference(NNF_transformation,[status(thm)],[f14])).
% 0.24/0.49 fof(f16,plain,(
% 0.24/0.49 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.24/0.49 inference(miniscoping,[status(thm)],[f15])).
% 0.24/0.49 fof(f17,plain,(
% 0.24/0.49 (![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))))),
% 0.24/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.24/0.49 fof(f19,plain,(
% 0.24/0.49 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.24/0.49 inference(cnf_transformation,[status(thm)],[f17])).
% 0.24/0.49 fof(f20,plain,(
% 0.24/0.49 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.24/0.49 inference(cnf_transformation,[status(thm)],[f17])).
% 0.24/0.49 fof(f55,plain,(
% 0.24/0.49 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 0.24/0.49 inference(NNF_transformation,[status(thm)],[f10])).
% 0.24/0.49 fof(f56,plain,(
% 0.24/0.49 (![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)))))),
% 0.24/0.49 inference(miniscoping,[status(thm)],[f55])).
% 0.24/0.49 fof(f57,plain,(
% 0.24/0.49 (![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)))))),
% 0.24/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(A,X))],[f56])).
% 0.24/0.49 fof(f60,plain,(
% 0.24/0.49 ![X0,X1,X2]: (member(X0,sum(X1))|~member(X2,X1)|~member(X0,X2))),
% 0.24/0.49 inference(cnf_transformation,[status(thm)],[f57])).
% 0.24/0.49 fof(f68,plain,(
% 0.24/0.49 (?[A,X]: (member(X,A)&~subset(X,sum(A))))),
% 0.24/0.49 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.24/0.49 fof(f69,plain,(
% 0.24/0.49 (member(sK4_skl,sK3_skl)&~subset(sK4_skl,sum(sK3_skl)))),
% 0.24/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(X,sK4_skl)],[f68])).
% 0.24/0.49 fof(f70,plain,(
% 0.24/0.49 member(sK4_skl,sK3_skl)),
% 0.24/0.49 inference(cnf_transformation,[status(thm)],[f69])).
% 0.24/0.49 fof(f71,plain,(
% 0.24/0.49 ~subset(sK4_skl,sum(sK3_skl))),
% 0.24/0.49 inference(cnf_transformation,[status(thm)],[f69])).
% 0.24/0.49 fof(f75,plain,(
% 0.24/0.49 ![X0]: (member(X0,sum(sK3_skl))|~member(X0,sK4_skl))),
% 0.24/0.49 inference(resolution,[status(thm)],[f60,f70])).
% 0.24/0.49 fof(f80,plain,(
% 0.24/0.49 ![X0]: (subset(sK4_skl,X0)|member(sK0_skl(X0,sK4_skl),sum(sK3_skl)))),
% 0.24/0.49 inference(resolution,[status(thm)],[f19,f75])).
% 0.24/0.49 fof(f83,plain,(
% 0.24/0.49 subset(sK4_skl,sum(sK3_skl))|subset(sK4_skl,sum(sK3_skl))),
% 0.24/0.49 inference(resolution,[status(thm)],[f80,f20])).
% 0.24/0.49 fof(f85,definition,(
% 0.24/0.49 sQ0_spl <=> (subset(sK4_skl,sum(sK3_skl)))),
% 0.24/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.24/0.49 fof(f86,plain,(
% 0.24/0.49 subset(sK4_skl,sum(sK3_skl))|~sQ0_spl),
% 0.24/0.49 inference(component_clause,[status(thm)],[f85])).
% 0.24/0.49 fof(f88,plain,(
% 0.24/0.49 sQ0_spl),
% 0.24/0.49 inference(split_clause,[status(thm)],[f83,f85])).
% 0.24/0.49 fof(f89,plain,(
% 0.24/0.49 $false|~sQ0_spl),
% 0.24/0.49 inference(forward_subsumption_resolution,[status(thm)],[f86,f71])).
% 0.24/0.49 fof(f90,plain,(
% 0.24/0.49 ~sQ0_spl),
% 0.24/0.49 inference(contradiction_clause,[status(thm)],[f89])).
% 0.24/0.49 fof(f91,plain,(
% 0.24/0.49 $false),
% 0.24/0.49 inference(sat_refutation,[status(thm)],[f88,f90])).
% 0.24/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.53 % Elapsed time: 0.082355 seconds
% 0.24/0.53 % CPU time: 0.196286 seconds
% 0.24/0.53 % Total memory used: 80.657 MB
% 0.24/0.53 % Net memory used: 80.362 MB
%------------------------------------------------------------------------------