%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET704+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 : n009.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 02:12:29 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET704+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 05:33:43 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f11,axiom,(
% 0.12/0.38 (! [X,A] :( member(X,product(A))<=> (! [Y] :( member(Y,A)=> member(X,Y) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f12,conjecture,(
% 0.12/0.38 (! [A,X] :( member(X,A)=> subset(product(A),X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,negated_conjecture,(
% 0.12/0.38 ~((! [A,X] :( member(X,A)=> subset(product(A),X) ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f14])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 (![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))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.38 fof(f61,plain,(
% 0.12/0.38 ![X,A]: (member(X,product(A))<=>(![Y]: (~member(Y,A)|member(X,Y))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.12/0.38 fof(f62,plain,(
% 0.12/0.38 ![X,A]: ((~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y))))&(member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f61])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f62])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(member(sK2_skl(A,X),A)&~member(X,sK2_skl(A,X)))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(A,X))],[f63])).
% 0.12/0.38 fof(f65,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~member(X0,product(X1))|~member(X2,X1)|member(X0,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 (?[A,X]: (member(X,A)&~subset(product(A),X)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 (member(sK4_skl,sK3_skl)&~subset(product(sK3_skl),sK4_skl))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(X,sK4_skl)],[f68])).
% 0.12/0.38 fof(f70,plain,(
% 0.12/0.38 member(sK4_skl,sK3_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.38 fof(f71,plain,(
% 0.12/0.38 ~subset(product(sK3_skl),sK4_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.38 fof(f78,plain,(
% 0.12/0.38 ![X0,X1,X2]: (subset(product(X0),X1)|~member(X2,X0)|member(sK0_skl(X1,product(X0)),X2))),
% 0.12/0.38 inference(resolution,[status(thm)],[f19,f65])).
% 0.12/0.38 fof(f81,plain,(
% 0.12/0.38 ![X0]: (subset(product(sK3_skl),X0)|member(sK0_skl(X0,product(sK3_skl)),sK4_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f78,f70])).
% 0.12/0.38 fof(f84,plain,(
% 0.12/0.38 subset(product(sK3_skl),sK4_skl)|subset(product(sK3_skl),sK4_skl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f81,f20])).
% 0.12/0.38 fof(f86,definition,(
% 0.12/0.38 sQ0_spl <=> (subset(product(sK3_skl),sK4_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f87,plain,(
% 0.12/0.38 subset(product(sK3_skl),sK4_skl)|~sQ0_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f86])).
% 0.12/0.38 fof(f89,plain,(
% 0.12/0.38 sQ0_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f84,f86])).
% 0.12/0.38 fof(f90,plain,(
% 0.12/0.38 $false|~sQ0_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f87,f71])).
% 0.12/0.38 fof(f91,plain,(
% 0.12/0.38 ~sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f90])).
% 0.12/0.38 fof(f92,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f89,f91])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.057580 seconds
% 0.12/0.41 % CPU time: 0.151396 seconds
% 0.12/0.41 % Total memory used: 45.337 MB
% 0.12/0.41 % Net memory used: 45.183 MB
%------------------------------------------------------------------------------