%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET942+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:12:54 PM UTC 2026
% Result : Theorem 7.54s 1.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET942+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 05:46:43 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 7.54/1.39 % Refutation found
% 7.54/1.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.54/1.39 % SZS output start CNFRefutation for theBenchmark
% 7.54/1.39 fof(f2,axiom,(
% 7.54/1.39 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 7.54/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.54/1.39 fof(f3,axiom,(
% 7.54/1.39 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 7.54/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.54/1.39 fof(f7,conjecture,(
% 7.54/1.39 (! [A,B] :( subset(A,B)=> subset(union(A),union(B)) ) )),
% 7.54/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.54/1.39 fof(f8,negated_conjecture,(
% 7.54/1.39 ~((! [A,B] :( subset(A,B)=> subset(union(A),union(B)) ) ))),
% 7.54/1.39 inference(negated_conjecture,[status(cth)],[f7])).
% 7.54/1.39 fof(f11,plain,(
% 7.54/1.39 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 7.54/1.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 7.54/1.39 fof(f12,plain,(
% 7.54/1.39 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 7.54/1.39 inference(NNF_transformation,[status(thm)],[f11])).
% 7.54/1.39 fof(f13,plain,(
% 7.54/1.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 7.54/1.39 inference(miniscoping,[status(thm)],[f12])).
% 7.54/1.39 fof(f14,plain,(
% 7.54/1.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 7.54/1.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f13])).
% 7.54/1.39 fof(f15,plain,(
% 7.54/1.39 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f14])).
% 7.54/1.39 fof(f16,plain,(
% 7.54/1.39 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f14])).
% 7.54/1.39 fof(f17,plain,(
% 7.54/1.39 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f14])).
% 7.54/1.39 fof(f18,plain,(
% 7.54/1.39 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 7.54/1.39 inference(NNF_transformation,[status(thm)],[f3])).
% 7.54/1.39 fof(f19,plain,(
% 7.54/1.39 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 7.54/1.39 inference(miniscoping,[status(thm)],[f18])).
% 7.54/1.39 fof(f20,plain,(
% 7.54/1.39 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sK1_skl(C,B,A))&in(sK1_skl(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sK2_skl(B,A),B)|(![D]: (~in(sK2_skl(B,A),D)|~in(D,A))))&(in(sK2_skl(B,A),B)|(in(sK2_skl(B,A),sK3_skl(B,A))&in(sK3_skl(B,A),A))))))),
% 7.54/1.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(D,sK1_skl(C,B,A)),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A))],[f19])).
% 7.54/1.39 fof(f21,plain,(
% 7.54/1.39 ![X0,X1,X2]: (~X0=union(X1)|~in(X2,X0)|in(X2,sK1_skl(X2,X0,X1)))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f20])).
% 7.54/1.39 fof(f22,plain,(
% 7.54/1.39 ![X0,X1,X2]: (~X0=union(X1)|~in(X2,X0)|in(sK1_skl(X2,X0,X1),X1))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f20])).
% 7.54/1.39 fof(f23,plain,(
% 7.54/1.39 ![X0,X1,X2,X3]: (~X0=union(X1)|in(X2,X0)|~in(X2,X3)|~in(X3,X1))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f20])).
% 7.54/1.39 fof(f33,plain,(
% 7.54/1.39 (?[A,B]: (subset(A,B)&~subset(union(A),union(B))))),
% 7.54/1.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 7.54/1.39 fof(f34,plain,(
% 7.54/1.39 (subset(sK6_skl,sK7_skl)&~subset(union(sK6_skl),union(sK7_skl)))),
% 7.54/1.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl)],[f33])).
% 7.54/1.39 fof(f35,plain,(
% 7.54/1.39 subset(sK6_skl,sK7_skl)),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f34])).
% 7.54/1.39 fof(f36,plain,(
% 7.54/1.39 ~subset(union(sK6_skl),union(sK7_skl))),
% 7.54/1.39 inference(cnf_transformation,[status(thm)],[f34])).
% 7.54/1.39 fof(f37,plain,(
% 7.54/1.39 ![X0,X1]: (~in(X0,union(X1))|in(X0,sK1_skl(X0,union(X1),X1)))),
% 7.54/1.39 inference(destructive_equality_resolution,[status(thm)],[f21])).
% 7.54/1.39 fof(f38,plain,(
% 7.54/1.39 ![X0,X1]: (~in(X0,union(X1))|in(sK1_skl(X0,union(X1),X1),X1))),
% 7.54/1.39 inference(destructive_equality_resolution,[status(thm)],[f22])).
% 7.54/1.42 fof(f39,plain,(
% 7.54/1.42 ![X0,X1,X2]: (in(X0,union(X1))|~in(X0,X2)|~in(X2,X1))),
% 7.54/1.42 inference(destructive_equality_resolution,[status(thm)],[f23])).
% 7.54/1.42 fof(f63,plain,(
% 7.54/1.42 ![X0,X1]: (in(sK0_skl(X0,union(X1)),sK1_skl(sK0_skl(X0,union(X1)),union(X1),X1))|subset(union(X1),X0))),
% 7.54/1.42 inference(resolution,[status(thm)],[f37,f16])).
% 7.54/1.42 fof(f65,plain,(
% 7.54/1.42 ![X0,X1]: (in(sK1_skl(sK0_skl(X0,union(X1)),union(X1),X1),X1)|subset(union(X1),X0))),
% 7.54/1.42 inference(resolution,[status(thm)],[f38,f16])).
% 7.54/1.42 fof(f92,plain,(
% 7.54/1.42 ![X0,X1,X2]: (subset(union(X0),X1)|~subset(X0,X2)|in(sK1_skl(sK0_skl(X1,union(X0)),union(X0),X0),X2))),
% 7.54/1.42 inference(resolution,[status(thm)],[f65,f15])).
% 7.54/1.42 fof(f352,plain,(
% 7.54/1.42 ![X0]: (subset(union(sK6_skl),X0)|in(sK1_skl(sK0_skl(X0,union(sK6_skl)),union(sK6_skl),sK6_skl),sK7_skl))),
% 7.54/1.42 inference(resolution,[status(thm)],[f92,f35])).
% 7.54/1.42 fof(f430,plain,(
% 7.54/1.42 ![X0,X1]: (subset(union(sK6_skl),X0)|in(X1,union(sK7_skl))|~in(X1,sK1_skl(sK0_skl(X0,union(sK6_skl)),union(sK6_skl),sK6_skl)))),
% 7.54/1.42 inference(resolution,[status(thm)],[f352,f39])).
% 7.54/1.42 fof(f2471,plain,(
% 7.54/1.42 ![X0]: (subset(union(sK6_skl),X0)|in(sK0_skl(X0,union(sK6_skl)),union(sK7_skl))|subset(union(sK6_skl),X0))),
% 7.54/1.42 inference(resolution,[status(thm)],[f430,f63])).
% 7.54/1.42 fof(f2474,plain,(
% 7.54/1.42 ![X0]: (subset(union(sK6_skl),X0)|in(sK0_skl(X0,union(sK6_skl)),union(sK7_skl)))),
% 7.54/1.42 inference(duplicate_literals_removal,[status(thm)],[f2471])).
% 7.54/1.42 fof(f2475,plain,(
% 7.54/1.42 subset(union(sK6_skl),union(sK7_skl))|subset(union(sK6_skl),union(sK7_skl))),
% 7.54/1.42 inference(resolution,[status(thm)],[f2474,f17])).
% 7.54/1.42 fof(f2488,plain,(
% 7.54/1.42 subset(union(sK6_skl),union(sK7_skl))),
% 7.54/1.42 inference(duplicate_literals_removal,[status(thm)],[f2475])).
% 7.54/1.42 fof(f2489,plain,(
% 7.54/1.42 $false),
% 7.54/1.42 inference(forward_subsumption_resolution,[status(thm)],[f2488,f36])).
% 7.54/1.42 % SZS output end CNFRefutation for theBenchmark.p
% 7.54/1.42 % Elapsed time: 1.054357 seconds
% 7.54/1.42 % CPU time: 8.051117 seconds
% 7.54/1.42 % Total memory used: 138.257 MB
% 7.54/1.42 % Net memory used: 119.837 MB
%------------------------------------------------------------------------------