%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU130+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 : 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 02:21:44 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU130+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
% 0.09/0.36 % 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 05:51:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f23,lemma,(
% 0.09/0.40 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f24,lemma,(
% 0.09/0.40 (! [A,B,C] :( ( subset(A,B)& subset(A,C) )=> subset(A,set_intersection2(B,C)) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f28,conjecture,(
% 0.09/0.40 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f29,negated_conjecture,(
% 0.09/0.40 ~((! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f28])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f44])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.09/0.40 fof(f104,plain,(
% 0.09/0.40 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.40 fof(f105,plain,(
% 0.09/0.40 ![A,B,C]: ((~subset(A,B)|~subset(A,C))|subset(A,set_intersection2(B,C)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.09/0.40 fof(f106,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X0,X2)|subset(X0,set_intersection2(X1,X2)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f105])).
% 0.09/0.40 fof(f114,plain,(
% 0.09/0.40 (?[A,B]: (subset(A,B)&~set_intersection2(A,B)=A))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.09/0.40 fof(f115,plain,(
% 0.09/0.40 (subset(sK6_skl,sK7_skl)&~set_intersection2(sK6_skl,sK7_skl)=sK6_skl)),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl)],[f114])).
% 0.09/0.40 fof(f116,plain,(
% 0.09/0.40 subset(sK6_skl,sK7_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.09/0.40 fof(f117,plain,(
% 0.09/0.40 ~set_intersection2(sK6_skl,sK7_skl)=sK6_skl),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.09/0.40 fof(f144,plain,(
% 0.09/0.40 ![X0]: (subset(X0,X0))),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f46])).
% 0.09/0.40 fof(f157,plain,(
% 0.09/0.40 ~set_intersection2(sK7_skl,sK6_skl)=sK6_skl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f43,f117])).
% 0.09/0.40 fof(f159,plain,(
% 0.09/0.40 ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f43,f104])).
% 0.09/0.40 fof(f165,plain,(
% 0.09/0.40 ![X0,X1]: (X0=set_intersection2(X1,X0)|~subset(X0,set_intersection2(X1,X0)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f48,f159])).
% 0.09/0.40 fof(f220,plain,(
% 0.09/0.40 ![X0,X1]: (X0=set_intersection2(X1,X0)|~subset(X0,X1)|~subset(X0,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f165,f106])).
% 0.09/0.40 fof(f225,plain,(
% 0.09/0.40 ![X0,X1]: (X0=set_intersection2(X1,X0)|~subset(X0,X1))),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f220,f144])).
% 0.09/0.40 fof(f229,plain,(
% 0.09/0.40 sK6_skl=set_intersection2(sK7_skl,sK6_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f225,f116])).
% 0.09/0.40 fof(f233,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f229,f157])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.051897 seconds
% 0.09/0.42 % CPU time: 0.169268 seconds
% 0.09/0.42 % Total memory used: 74.409 MB
% 0.09/0.42 % Net memory used: 74.301 MB
%------------------------------------------------------------------------------