%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU127+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:21:44 PM UTC 2026
% Result : Theorem 1.33s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU127+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n016.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 05:56:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 1.33/0.58 % Refutation found
% 1.33/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.33/0.58 % SZS output start CNFRefutation for theBenchmark
% 1.33/0.58 fof(f3,axiom,(
% 1.33/0.58 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 1.33/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.58 fof(f7,axiom,(
% 1.33/0.58 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 1.33/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.58 fof(f8,axiom,(
% 1.33/0.58 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 1.33/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.58 fof(f23,conjecture,(
% 1.33/0.58 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 1.33/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.58 fof(f24,negated_conjecture,(
% 1.33/0.58 ~((! [A,B] : subset(set_intersection2(A,B),A) ))),
% 1.33/0.58 inference(negated_conjecture,[status(cth)],[f23])).
% 1.33/0.58 fof(f40,plain,(
% 1.33/0.58 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 1.33/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 1.33/0.58 fof(f60,plain,(
% 1.33/0.58 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 1.33/0.58 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 1.33/0.58 fof(f61,plain,(
% 1.33/0.58 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 1.33/0.58 inference(NNF_transformation,[status(thm)],[f60])).
% 1.33/0.58 fof(f62,plain,(
% 1.33/0.58 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 1.33/0.58 inference(miniscoping,[status(thm)],[f61])).
% 1.33/0.58 fof(f63,plain,(
% 1.33/0.58 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK2_skl(B,A),A)&~in(sK2_skl(B,A),B))))),
% 1.33/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f62])).
% 1.33/0.58 fof(f65,plain,(
% 1.33/0.58 ![X0,X1]: (subset(X0,X1)|in(sK2_skl(X1,X0),X0))),
% 1.33/0.58 inference(cnf_transformation,[status(thm)],[f63])).
% 1.33/0.58 fof(f66,plain,(
% 1.33/0.58 ![X0,X1]: (subset(X0,X1)|~in(sK2_skl(X1,X0),X1))),
% 1.33/0.58 inference(cnf_transformation,[status(thm)],[f63])).
% 1.33/0.58 fof(f67,plain,(
% 1.33/0.58 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 1.33/0.58 inference(NNF_transformation,[status(thm)],[f8])).
% 1.33/0.58 fof(f68,plain,(
% 1.33/0.58 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 1.33/0.58 inference(miniscoping,[status(thm)],[f67])).
% 1.33/0.58 fof(f69,plain,(
% 1.33/0.58 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sK3_skl(C,B,A),C)|(~in(sK3_skl(C,B,A),A)|~in(sK3_skl(C,B,A),B)))&(in(sK3_skl(C,B,A),C)|(in(sK3_skl(C,B,A),A)&in(sK3_skl(C,B,A),B))))))),
% 1.33/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(D,sK3_skl(C,B,A))],[f68])).
% 1.33/0.58 fof(f71,plain,(
% 1.33/0.58 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X2))),
% 1.33/0.58 inference(cnf_transformation,[status(thm)],[f69])).
% 1.33/0.58 fof(f101,plain,(
% 1.33/0.58 (?[A,B]: ~subset(set_intersection2(A,B),A))),
% 1.33/0.58 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 1.33/0.58 fof(f102,plain,(
% 1.33/0.58 ~subset(set_intersection2(sK6_skl,sK7_skl),sK6_skl)),
% 1.33/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl)],[f101])).
% 1.33/0.58 fof(f103,plain,(
% 1.33/0.58 ~subset(set_intersection2(sK6_skl,sK7_skl),sK6_skl)),
% 1.33/0.58 inference(cnf_transformation,[status(thm)],[f102])).
% 1.33/0.58 fof(f141,plain,(
% 1.33/0.58 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X2))),
% 1.33/0.58 inference(destructive_equality_resolution,[status(thm)],[f71])).
% 1.33/0.58 fof(f147,plain,(
% 1.33/0.58 ~subset(set_intersection2(sK7_skl,sK6_skl),sK6_skl)),
% 1.33/0.58 inference(paramodulation,[status(thm)],[f40,f103])).
% 1.33/0.58 fof(f704,plain,(
% 1.33/0.58 ![X0,X1,X2]: (subset(set_intersection2(X0,X1),X2)|in(sK2_skl(X2,set_intersection2(X0,X1)),X1))),
% 1.33/0.58 inference(resolution,[status(thm)],[f65,f141])).
% 1.33/0.58 fof(f893,plain,(
% 1.33/0.58 ![X0,X1]: (subset(set_intersection2(X0,X1),X1)|subset(set_intersection2(X0,X1),X1))),
% 1.33/0.58 inference(resolution,[status(thm)],[f704,f66])).
% 1.33/0.58 fof(f909,plain,(
% 1.33/0.58 ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 1.33/0.58 inference(duplicate_literals_removal,[status(thm)],[f893])).
% 1.33/0.58 fof(f910,plain,(
% 1.33/0.58 $false),
% 1.33/0.58 inference(backward_subsumption_resolution,[status(thm)],[f147,f909])).
% 1.33/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.33/0.60 % Elapsed time: 0.234363 seconds
% 1.33/0.60 % CPU time: 1.592596 seconds
% 1.33/0.60 % Total memory used: 121.932 MB
% 1.33/0.60 % Net memory used: 118.523 MB
%------------------------------------------------------------------------------