%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU129+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 : n002.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 0.59s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU129+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
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:54:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.59/0.54 % Refutation found
% 0.59/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.59/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.59/0.54 fof(f3,axiom,(
% 0.59/0.54 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.59/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.59/0.54 fof(f23,lemma,(
% 0.59/0.54 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 0.59/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.59/0.54 fof(f24,lemma,(
% 0.59/0.54 (! [A,B,C] :( ( subset(A,B)& subset(A,C) )=> subset(A,set_intersection2(B,C)) ) )),
% 0.59/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.59/0.54 fof(f26,lemma,(
% 0.59/0.54 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.59/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.59/0.54 fof(f27,conjecture,(
% 0.59/0.54 (! [A,B,C] :( subset(A,B)=> subset(set_intersection2(A,C),set_intersection2(B,C)) ) )),
% 0.59/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.59/0.54 fof(f28,negated_conjecture,(
% 0.59/0.54 ~((! [A,B,C] :( subset(A,B)=> subset(set_intersection2(A,C),set_intersection2(B,C)) ) ))),
% 0.59/0.54 inference(negated_conjecture,[status(cth)],[f27])).
% 0.59/0.54 fof(f42,plain,(
% 0.59/0.54 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.59/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.59/0.54 fof(f103,plain,(
% 0.59/0.54 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 0.59/0.54 inference(cnf_transformation,[status(thm)],[f23])).
% 0.59/0.54 fof(f104,plain,(
% 0.59/0.54 ![A,B,C]: ((~subset(A,B)|~subset(A,C))|subset(A,set_intersection2(B,C)))),
% 0.59/0.54 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.59/0.54 fof(f105,plain,(
% 0.59/0.54 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X0,X2)|subset(X0,set_intersection2(X1,X2)))),
% 0.59/0.54 inference(cnf_transformation,[status(thm)],[f104])).
% 0.59/0.54 fof(f107,plain,(
% 0.59/0.54 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 0.59/0.54 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.59/0.54 fof(f108,plain,(
% 0.59/0.54 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 0.59/0.54 inference(miniscoping,[status(thm)],[f107])).
% 0.59/0.54 fof(f109,plain,(
% 0.59/0.54 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.59/0.54 inference(cnf_transformation,[status(thm)],[f108])).
% 0.59/0.54 fof(f110,plain,(
% 0.59/0.54 (?[A,B,C]: (subset(A,B)&~subset(set_intersection2(A,C),set_intersection2(B,C))))),
% 0.59/0.54 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.59/0.54 fof(f111,plain,(
% 0.59/0.54 ?[A,B]: (subset(A,B)&(?[C]: ~subset(set_intersection2(A,C),set_intersection2(B,C))))),
% 0.59/0.54 inference(miniscoping,[status(thm)],[f110])).
% 0.59/0.54 fof(f112,plain,(
% 0.59/0.54 (subset(sK6_skl,sK7_skl)&~subset(set_intersection2(sK6_skl,sK8_skl),set_intersection2(sK7_skl,sK8_skl)))),
% 0.59/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl),skolemize(C,sK8_skl)],[f111])).
% 0.59/0.54 fof(f113,plain,(
% 0.59/0.54 subset(sK6_skl,sK7_skl)),
% 0.59/0.54 inference(cnf_transformation,[status(thm)],[f112])).
% 0.59/0.54 fof(f114,plain,(
% 0.59/0.54 ~subset(set_intersection2(sK6_skl,sK8_skl),set_intersection2(sK7_skl,sK8_skl))),
% 0.59/0.54 inference(cnf_transformation,[status(thm)],[f112])).
% 0.59/0.54 fof(f158,plain,(
% 0.59/0.54 ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 0.59/0.54 inference(paramodulation,[status(thm)],[f42,f103])).
% 0.59/0.54 fof(f177,plain,(
% 0.59/0.54 ~subset(set_intersection2(sK6_skl,sK8_skl),sK7_skl)|~subset(set_intersection2(sK6_skl,sK8_skl),sK8_skl)),
% 0.59/0.54 inference(resolution,[status(thm)],[f105,f114])).
% 0.59/0.54 fof(f182,plain,(
% 0.59/0.54 ~subset(set_intersection2(sK6_skl,sK8_skl),sK7_skl)),
% 0.59/0.54 inference(forward_subsumption_resolution,[status(thm)],[f177,f158])).
% 0.59/0.54 fof(f209,plain,(
% 0.59/0.54 ![X0]: (~subset(set_intersection2(sK6_skl,sK8_skl),X0)|~subset(X0,sK7_skl))),
% 0.59/0.54 inference(resolution,[status(thm)],[f182,f109])).
% 0.59/0.54 fof(f752,plain,(
% 0.59/0.54 ~subset(set_intersection2(sK6_skl,sK8_skl),sK6_skl)),
% 0.59/0.54 inference(resolution,[status(thm)],[f209,f113])).
% 0.59/0.54 fof(f755,plain,(
% 0.59/0.54 $false),
% 0.59/0.54 inference(forward_subsumption_resolution,[status(thm)],[f752,f103])).
% 0.59/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.59/0.55 % Elapsed time: 0.175459 seconds
% 0.59/0.55 % CPU time: 1.117181 seconds
% 0.59/0.55 % Total memory used: 116.842 MB
% 0.59/0.55 % Net memory used: 114.628 MB
%------------------------------------------------------------------------------