%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET932+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:12:53 PM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET932+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:46:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f2,axiom,(
% 0.10/0.43 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f3,axiom,(
% 0.10/0.43 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f7,axiom,(
% 0.10/0.43 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f8,conjecture,(
% 0.10/0.43 (! [A,B] :( subset(A,B)=> subset(powerset(A),powerset(B)) ) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f9,negated_conjecture,(
% 0.10/0.43 ~((! [A,B] :( subset(A,B)=> subset(powerset(A),powerset(B)) ) ))),
% 0.10/0.43 inference(negated_conjecture,[status(cth)],[f8])).
% 0.10/0.43 fof(f12,plain,(
% 0.10/0.43 ![A,B]: ((~B=powerset(A)|(![C]: ((~in(C,B)|subset(C,A))&(in(C,B)|~subset(C,A)))))&(B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 0.10/0.43 inference(NNF_transformation,[status(thm)],[f2])).
% 0.10/0.43 fof(f13,plain,(
% 0.10/0.43 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f12])).
% 0.10/0.43 fof(f14,plain,(
% 0.10/0.43 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|((~in(sK0_skl(B,A),B)|~subset(sK0_skl(B,A),A))&(in(sK0_skl(B,A),B)|subset(sK0_skl(B,A),A)))))),
% 0.10/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f13])).
% 0.10/0.43 fof(f15,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.43 fof(f16,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.43 fof(f19,plain,(
% 0.10/0.43 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.43 fof(f20,plain,(
% 0.10/0.43 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.10/0.43 inference(NNF_transformation,[status(thm)],[f19])).
% 0.10/0.43 fof(f21,plain,(
% 0.10/0.43 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f20])).
% 0.10/0.43 fof(f22,plain,(
% 0.10/0.43 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 0.10/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f21])).
% 0.10/0.43 fof(f24,plain,(
% 0.10/0.43 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.43 fof(f25,plain,(
% 0.10/0.43 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.43 fof(f32,plain,(
% 0.10/0.43 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.10/0.43 fof(f33,plain,(
% 0.10/0.43 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f32])).
% 0.10/0.43 fof(f34,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.43 fof(f35,plain,(
% 0.10/0.43 (?[A,B]: (subset(A,B)&~subset(powerset(A),powerset(B))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.10/0.43 fof(f36,plain,(
% 0.10/0.43 (subset(sK4_skl,sK5_skl)&~subset(powerset(sK4_skl),powerset(sK5_skl)))),
% 0.10/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f35])).
% 0.10/0.43 fof(f37,plain,(
% 0.10/0.43 subset(sK4_skl,sK5_skl)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.43 fof(f38,plain,(
% 0.10/0.43 ~subset(powerset(sK4_skl),powerset(sK5_skl))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.43 fof(f39,plain,(
% 0.10/0.43 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 0.10/0.43 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.10/0.43 fof(f40,plain,(
% 0.10/0.43 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.10/0.43 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.10/0.43 fof(f54,plain,(
% 0.10/0.43 ![X0,X1]: (subset(powerset(X0),X1)|subset(sK1_skl(X1,powerset(X0)),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f24,f39])).
% 0.10/0.43 fof(f64,plain,(
% 0.10/0.43 ![X0,X1,X2]: (subset(powerset(X0),X1)|~subset(X0,X2)|subset(sK1_skl(X1,powerset(X0)),X2))),
% 0.10/0.43 inference(resolution,[status(thm)],[f54,f34])).
% 0.10/0.43 fof(f68,plain,(
% 0.10/0.43 ![X0]: (subset(powerset(sK4_skl),X0)|subset(sK1_skl(X0,powerset(sK4_skl)),sK5_skl))),
% 0.10/0.43 inference(resolution,[status(thm)],[f64,f37])).
% 0.10/0.43 fof(f73,plain,(
% 0.10/0.43 ![X0]: (subset(powerset(sK4_skl),X0)|in(sK1_skl(X0,powerset(sK4_skl)),powerset(sK5_skl)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f68,f40])).
% 0.10/0.43 fof(f80,plain,(
% 0.10/0.43 subset(powerset(sK4_skl),powerset(sK5_skl))|subset(powerset(sK4_skl),powerset(sK5_skl))),
% 0.10/0.43 inference(resolution,[status(thm)],[f73,f25])).
% 0.10/0.43 fof(f83,definition,(
% 0.10/0.43 sQ1_spl <=> (subset(powerset(sK4_skl),powerset(sK5_skl)))),
% 0.10/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.43 fof(f84,plain,(
% 0.10/0.43 subset(powerset(sK4_skl),powerset(sK5_skl))|~sQ1_spl),
% 0.10/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.10/0.43 fof(f86,plain,(
% 0.10/0.43 sQ1_spl),
% 0.10/0.43 inference(split_clause,[status(thm)],[f80,f83])).
% 0.10/0.43 fof(f87,plain,(
% 0.10/0.43 $false|~sQ1_spl),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f84,f38])).
% 0.10/0.43 fof(f88,plain,(
% 0.10/0.43 ~sQ1_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f87])).
% 0.10/0.43 fof(f89,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(sat_refutation,[status(thm)],[f86,f88])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.076924 seconds
% 0.10/0.46 % CPU time: 0.194469 seconds
% 0.10/0.46 % Total memory used: 80.523 MB
% 0.10/0.46 % Net memory used: 80.037 MB
%------------------------------------------------------------------------------