%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU167+3 : TPTP v9.3.1. Released v3.2.0.
% 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 02:21:52 PM UTC 2026
% Result : Theorem 0.17s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU167+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 05:58:52 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.17/0.41 % Drodi V4.1.1
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.44 fof(f4,axiom,(
% 0.17/0.44 (! [A,B,C] :( subset(A,B)=> ( subset(cartesian_product2(A,C),cartesian_product2(B,C))& subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f5,conjecture,(
% 0.17/0.44 (! [A,B,C,D] :( ( subset(A,B)& subset(C,D) )=> subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f6,negated_conjecture,(
% 0.17/0.44 ~((! [A,B,C,D] :( ( subset(A,B)& subset(C,D) )=> subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ))),
% 0.17/0.44 inference(negated_conjecture,[status(cth)],[f5])).
% 0.17/0.44 fof(f7,axiom,(
% 0.17/0.44 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f14,plain,(
% 0.17/0.44 ![A,B,C]: (~subset(A,B)|(subset(cartesian_product2(A,C),cartesian_product2(B,C))&subset(cartesian_product2(C,A),cartesian_product2(C,B))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.17/0.44 fof(f15,plain,(
% 0.17/0.44 ![A,B]: (~subset(A,B)|((![C]: subset(cartesian_product2(A,C),cartesian_product2(B,C)))&(![C]: subset(cartesian_product2(C,A),cartesian_product2(C,B)))))),
% 0.17/0.44 inference(miniscoping,[status(thm)],[f14])).
% 0.17/0.44 fof(f16,plain,(
% 0.17/0.44 ![X0,X1,X2]: (~subset(X0,X1)|subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)))),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.44 fof(f17,plain,(
% 0.17/0.44 ![X0,X1,X2]: (~subset(X0,X1)|subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)))),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.44 fof(f18,plain,(
% 0.17/0.44 (?[A,B,C,D]: ((subset(A,B)&subset(C,D))&~subset(cartesian_product2(A,C),cartesian_product2(B,D))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.17/0.44 fof(f19,plain,(
% 0.17/0.44 ((subset(sK2_skl,sK3_skl)&subset(sK4_skl,sK5_skl))&~subset(cartesian_product2(sK2_skl,sK4_skl),cartesian_product2(sK3_skl,sK5_skl)))),
% 0.17/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl),skolemize(D,sK5_skl)],[f18])).
% 0.17/0.44 fof(f20,plain,(
% 0.17/0.44 subset(sK2_skl,sK3_skl)),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.44 fof(f21,plain,(
% 0.17/0.44 subset(sK4_skl,sK5_skl)),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.44 fof(f22,plain,(
% 0.17/0.44 ~subset(cartesian_product2(sK2_skl,sK4_skl),cartesian_product2(sK3_skl,sK5_skl))),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.44 fof(f23,plain,(
% 0.17/0.44 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.17/0.44 fof(f24,plain,(
% 0.17/0.44 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 0.17/0.44 inference(miniscoping,[status(thm)],[f23])).
% 0.17/0.44 fof(f25,plain,(
% 0.17/0.44 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/0.44 fof(f26,plain,(
% 0.17/0.44 ![X0]: (~subset(cartesian_product2(sK2_skl,sK4_skl),X0)|~subset(X0,cartesian_product2(sK3_skl,sK5_skl)))),
% 0.17/0.44 inference(resolution,[status(thm)],[f25,f22])).
% 0.17/0.44 fof(f27,plain,(
% 0.17/0.44 ![X0]: (~subset(cartesian_product2(sK2_skl,X0),cartesian_product2(sK3_skl,sK5_skl))|~subset(sK4_skl,X0))),
% 0.17/0.44 inference(resolution,[status(thm)],[f26,f17])).
% 0.17/0.44 fof(f31,plain,(
% 0.17/0.44 ~subset(sK4_skl,sK5_skl)|~subset(sK2_skl,sK3_skl)),
% 0.17/0.44 inference(resolution,[status(thm)],[f27,f16])).
% 0.17/0.44 fof(f34,plain,(
% 0.17/0.44 ~subset(sK2_skl,sK3_skl)),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f31,f21])).
% 0.17/0.44 fof(f35,plain,(
% 0.17/0.44 $false),
% 0.17/0.44 inference(backward_subsumption_resolution,[status(thm)],[f20,f34])).
% 0.17/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.47 % Elapsed time: 0.062314 seconds
% 0.17/0.47 % CPU time: 0.178867 seconds
% 0.17/0.47 % Total memory used: 48.473 MB
% 0.17/0.47 % Net memory used: 48.063 MB
%------------------------------------------------------------------------------