%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET983+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 : n018.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 02:12:57 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET983+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:48:14 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,axiom,(
% 0.13/0.40 (! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,conjecture,(
% 0.13/0.40 (! [A,B,C,D,E] :( ( in(A,cartesian_product2(B,C))& in(A,cartesian_product2(D,E)) )=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,negated_conjecture,(
% 0.13/0.40 ~((! [A,B,C,D,E] :( ( in(A,cartesian_product2(B,C))& in(A,cartesian_product2(D,E)) )=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f8])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 ![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)))))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f14,plain,(
% 0.13/0.40 (![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)))))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 (![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(sK0_skl(C,B,A),C)|(~in(sK0_skl(C,B,A),A)|~in(sK0_skl(C,B,A),B)))&(in(sK0_skl(C,B,A),C)|(in(sK0_skl(C,B,A),A)&in(sK0_skl(C,B,A),B))))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f14])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3))=set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 (?[A,B,C,D,E]: ((in(A,cartesian_product2(B,C))&in(A,cartesian_product2(D,E)))&~in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E)))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 ((in(sK3_skl,cartesian_product2(sK4_skl,sK5_skl))&in(sK3_skl,cartesian_product2(sK6_skl,sK7_skl)))&~in(sK3_skl,cartesian_product2(set_intersection2(sK4_skl,sK6_skl),set_intersection2(sK5_skl,sK7_skl))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(C,sK5_skl),skolemize(D,sK6_skl),skolemize(E,sK7_skl)],[f29])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 in(sK3_skl,cartesian_product2(sK4_skl,sK5_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 in(sK3_skl,cartesian_product2(sK6_skl,sK7_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 ~in(sK3_skl,cartesian_product2(set_intersection2(sK4_skl,sK6_skl),set_intersection2(sK5_skl,sK7_skl)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f18])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 ![X0]: (in(sK3_skl,set_intersection2(X0,cartesian_product2(sK6_skl,sK7_skl)))|~in(sK3_skl,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f36,f32])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 in(sK3_skl,set_intersection2(cartesian_product2(sK4_skl,sK5_skl),cartesian_product2(sK6_skl,sK7_skl)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f53,f31])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 in(sK3_skl,cartesian_product2(set_intersection2(sK4_skl,sK6_skl),set_intersection2(sK5_skl,sK7_skl)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f28,f70])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f74,f33])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.061535 seconds
% 0.13/0.43 % CPU time: 0.161648 seconds
% 0.13/0.43 % Total memory used: 101.461 MB
% 0.13/0.43 % Net memory used: 101.047 MB
%------------------------------------------------------------------------------