%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET958+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 : n004.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 02:12:55 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET958+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
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:45:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,conjecture,(
% 0.09/0.39 (! [A,B] :( ( (! [C] :~ ( in(C,A)& (! [D,E] : C != ordered_pair(D,E) )))& (! [C,D] :( in(ordered_pair(C,D),A)=> in(ordered_pair(C,D),B) ) ))=> subset(A,B) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,negated_conjecture,(
% 0.09/0.39 ~((! [A,B] :( ( (! [C] :~ ( in(C,A)& (! [D,E] : C != ordered_pair(D,E) )))& (! [C,D] :( in(ordered_pair(C,D),A)=> in(ordered_pair(C,D),B) ) ))=> subset(A,B) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f9])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f14])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 (![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))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f16])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 (?[A,B]: (((![C]: (~in(C,A)|(?[D,E]: C=ordered_pair(D,E))))&(![C,D]: (~in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B))))&~subset(A,B)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 (((![C]: (~in(C,sK3_skl)|C=ordered_pair(sK5_skl(C),sK6_skl(C))))&(![C,D]: (~in(ordered_pair(C,D),sK3_skl)|in(ordered_pair(C,D),sK4_skl))))&~subset(sK3_skl,sK4_skl))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(D,sK5_skl(C)),skolemize(E,sK6_skl(C))],[f29])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 ![X0]: (~in(X0,sK3_skl)|X0=ordered_pair(sK5_skl(X0),sK6_skl(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 ![X0,X1]: (~in(ordered_pair(X0,X1),sK3_skl)|in(ordered_pair(X0,X1),sK4_skl))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ~subset(sK3_skl,sK4_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 ![X0]: (subset(sK3_skl,X0)|sK0_skl(X0,sK3_skl)=ordered_pair(sK5_skl(sK0_skl(X0,sK3_skl)),sK6_skl(sK0_skl(X0,sK3_skl))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f19,f31])).
% 0.09/0.39 fof(f51,plain,(
% 0.09/0.39 sK0_skl(sK4_skl,sK3_skl)=ordered_pair(sK5_skl(sK0_skl(sK4_skl,sK3_skl)),sK6_skl(sK0_skl(sK4_skl,sK3_skl)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f40,f33])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 ~in(ordered_pair(sK5_skl(sK0_skl(sK4_skl,sK3_skl)),sK6_skl(sK0_skl(sK4_skl,sK3_skl))),sK3_skl)|in(sK0_skl(sK4_skl,sK3_skl),sK4_skl)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f51,f32])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 ~in(sK0_skl(sK4_skl,sK3_skl),sK3_skl)|in(sK0_skl(sK4_skl,sK3_skl),sK4_skl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f51,f60])).
% 0.09/0.39 fof(f64,plain,(
% 0.09/0.39 in(sK0_skl(sK4_skl,sK3_skl),sK4_skl)|subset(sK3_skl,sK4_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f62,f19])).
% 0.09/0.39 fof(f65,plain,(
% 0.09/0.39 subset(sK3_skl,sK4_skl)),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f64,f20])).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f65,f33])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.042988 seconds
% 0.09/0.42 % CPU time: 0.089134 seconds
% 0.09/0.42 % Total memory used: 19.192 MB
% 0.09/0.42 % Net memory used: 19.146 MB
%------------------------------------------------------------------------------