%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU130+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU130+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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
% 0.09/0.37 % DateTime : Mon Sep 21 05:52:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f2,axiom,(
% 0.09/0.43 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f3,axiom,(
% 0.09/0.43 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f4,axiom,(
% 0.09/0.43 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f5,axiom,(
% 0.09/0.43 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f13,axiom,(
% 0.09/0.43 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f14,conjecture,(
% 0.09/0.43 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f15,negated_conjecture,(
% 0.09/0.43 ~((! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) ))),
% 0.09/0.43 inference(negated_conjecture,[status(cth)],[f14])).
% 0.09/0.43 fof(f22,plain,(
% 0.09/0.43 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43 fof(f23,plain,(
% 0.09/0.43 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.09/0.43 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.43 fof(f24,plain,(
% 0.09/0.43 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.43 fof(f27,plain,(
% 0.09/0.43 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.43 fof(f28,plain,(
% 0.09/0.43 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.09/0.43 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.43 fof(f29,plain,(
% 0.09/0.43 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.09/0.43 inference(NNF_transformation,[status(thm)],[f28])).
% 0.09/0.43 fof(f30,plain,(
% 0.09/0.43 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f29])).
% 0.09/0.43 fof(f31,plain,(
% 0.09/0.43 (![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))))),
% 0.09/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f30])).
% 0.09/0.43 fof(f32,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.43 fof(f33,plain,(
% 0.09/0.43 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.43 fof(f34,plain,(
% 0.09/0.43 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.43 fof(f35,plain,(
% 0.09/0.43 ![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)))))))),
% 0.09/0.43 inference(NNF_transformation,[status(thm)],[f5])).
% 0.09/0.43 fof(f36,plain,(
% 0.09/0.43 (![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)))))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f35])).
% 0.09/0.43 fof(f37,plain,(
% 0.09/0.43 (![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(sK1_skl(C,B,A),C)|(~in(sK1_skl(C,B,A),A)|~in(sK1_skl(C,B,A),B)))&(in(sK1_skl(C,B,A),C)|(in(sK1_skl(C,B,A),A)&in(sK1_skl(C,B,A),B))))))),
% 0.09/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f36])).
% 0.09/0.43 fof(f40,plain,(
% 0.09/0.43 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.43 fof(f53,plain,(
% 0.09/0.43 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.43 fof(f54,plain,(
% 0.09/0.43 (?[A,B]: (subset(A,B)&~set_intersection2(A,B)=A))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.44 fof(f55,plain,(
% 0.09/0.44 (subset(sK4_skl,sK5_skl)&~set_intersection2(sK4_skl,sK5_skl)=sK4_skl)),
% 0.09/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f54])).
% 0.09/0.44 fof(f56,plain,(
% 0.09/0.44 subset(sK4_skl,sK5_skl)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.44 fof(f57,plain,(
% 0.09/0.44 ~set_intersection2(sK4_skl,sK5_skl)=sK4_skl),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.44 fof(f71,plain,(
% 0.09/0.44 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 0.09/0.44 inference(destructive_equality_resolution,[status(thm)],[f40])).
% 0.09/0.44 fof(f85,plain,(
% 0.09/0.44 ![X0,X1]: (X0=set_intersection2(X0,X1)|~subset(X0,set_intersection2(X0,X1)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f27,f53])).
% 0.09/0.44 fof(f94,plain,(
% 0.09/0.44 ![X0,X1]: (X0=set_intersection2(X0,X1)|~subset(X0,set_intersection2(X1,X0)))),
% 0.09/0.44 inference(paramodulation,[status(thm)],[f22,f85])).
% 0.09/0.44 fof(f136,plain,(
% 0.09/0.44 ![X0,X1,X2]: (subset(X0,X1)|in(sK0_skl(X1,X0),set_intersection2(X2,X0))|~in(sK0_skl(X1,X0),X2))),
% 0.09/0.44 inference(resolution,[status(thm)],[f33,f71])).
% 0.09/0.44 fof(f137,plain,(
% 0.09/0.44 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|in(sK0_skl(X1,X0),X2))),
% 0.09/0.44 inference(resolution,[status(thm)],[f33,f32])).
% 0.09/0.44 fof(f190,plain,(
% 0.09/0.44 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),sK5_skl))),
% 0.09/0.44 inference(resolution,[status(thm)],[f137,f56])).
% 0.09/0.44 fof(f219,plain,(
% 0.09/0.44 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),set_intersection2(sK5_skl,sK4_skl))|subset(sK4_skl,X0))),
% 0.09/0.44 inference(resolution,[status(thm)],[f136,f190])).
% 0.09/0.44 fof(f223,plain,(
% 0.09/0.44 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),set_intersection2(sK5_skl,sK4_skl)))),
% 0.09/0.44 inference(duplicate_literals_removal,[status(thm)],[f219])).
% 0.09/0.44 fof(f485,plain,(
% 0.09/0.44 subset(sK4_skl,set_intersection2(sK5_skl,sK4_skl))|subset(sK4_skl,set_intersection2(sK5_skl,sK4_skl))),
% 0.09/0.44 inference(resolution,[status(thm)],[f223,f34])).
% 0.09/0.44 fof(f494,plain,(
% 0.09/0.44 subset(sK4_skl,set_intersection2(sK5_skl,sK4_skl))),
% 0.09/0.44 inference(duplicate_literals_removal,[status(thm)],[f485])).
% 0.09/0.44 fof(f495,plain,(
% 0.09/0.44 sK4_skl=set_intersection2(sK4_skl,sK5_skl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f494,f94])).
% 0.09/0.44 fof(f499,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f495,f57])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.45 % Elapsed time: 0.072898 seconds
% 0.09/0.45 % CPU time: 0.317040 seconds
% 0.09/0.45 % Total memory used: 98.770 MB
% 0.09/0.45 % Net memory used: 98.137 MB
%------------------------------------------------------------------------------