%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU089+1 : 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 : n010.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 02:21:40 PM UTC 2026
% Result : Theorem 0.02s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU089+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.55 % Computer : n010.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8046.5625MB
% 0.08/0.55 % OS : Linux 6.8.0-71-generic
% 0.08/0.55 % CPULimit : 300
% 0.08/0.55 % WCLimit : 300
% 0.08/0.55 % DateTime : Mon Sep 21 05:50:25 UTC 2026
% 0.08/0.55 % CPUTime :
% 0.02/0.56 % Drodi V4.1.1
% 0.02/0.59 % Refutation found
% 0.02/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.59 fof(f14,axiom,(
% 0.02/0.59 (! [A,B,C] : cartesian_product3(A,B,C) = cartesian_product2(cartesian_product2(A,B),C) )),
% 0.02/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.59 fof(f17,axiom,(
% 0.02/0.59 (! [A,B] :( ( finite(A)& finite(B) )=> finite(cartesian_product2(A,B)) ) )),
% 0.02/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.59 fof(f53,conjecture,(
% 0.02/0.59 (! [A,B,C] :( ( finite(A)& finite(B)& finite(C) )=> finite(cartesian_product3(A,B,C)) ) )),
% 0.02/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.59 fof(f54,negated_conjecture,(
% 0.02/0.59 ~((! [A,B,C] :( ( finite(A)& finite(B)& finite(C) )=> finite(cartesian_product3(A,B,C)) ) ))),
% 0.02/0.59 inference(negated_conjecture,[status(cth)],[f53])).
% 0.02/0.59 fof(f102,plain,(
% 0.02/0.59 ![X0,X1,X2]: (cartesian_product3(X0,X1,X2)=cartesian_product2(cartesian_product2(X0,X1),X2))),
% 0.02/0.59 inference(cnf_transformation,[status(thm)],[f14])).
% 0.02/0.59 fof(f108,plain,(
% 0.02/0.59 ![A,B]: ((~finite(A)|~finite(B))|finite(cartesian_product2(A,B)))),
% 0.02/0.59 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.02/0.59 fof(f109,plain,(
% 0.02/0.59 ![X0,X1]: (~finite(X0)|~finite(X1)|finite(cartesian_product2(X0,X1)))),
% 0.02/0.59 inference(cnf_transformation,[status(thm)],[f108])).
% 0.02/0.59 fof(f245,plain,(
% 0.02/0.59 (?[A,B,C]: (((finite(A)&finite(B))&finite(C))&~finite(cartesian_product3(A,B,C))))),
% 0.02/0.59 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.02/0.59 fof(f246,plain,(
% 0.02/0.59 (((finite(sK26_skl)&finite(sK27_skl))&finite(sK28_skl))&~finite(cartesian_product3(sK26_skl,sK27_skl,sK28_skl)))),
% 0.02/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(C,sK28_skl)],[f245])).
% 0.02/0.59 fof(f247,plain,(
% 0.02/0.59 finite(sK26_skl)),
% 0.02/0.59 inference(cnf_transformation,[status(thm)],[f246])).
% 0.02/0.59 fof(f248,plain,(
% 0.02/0.59 finite(sK27_skl)),
% 0.02/0.59 inference(cnf_transformation,[status(thm)],[f246])).
% 0.02/0.59 fof(f249,plain,(
% 0.02/0.59 finite(sK28_skl)),
% 0.02/0.59 inference(cnf_transformation,[status(thm)],[f246])).
% 0.02/0.59 fof(f250,plain,(
% 0.02/0.59 ~finite(cartesian_product3(sK26_skl,sK27_skl,sK28_skl))),
% 0.02/0.59 inference(cnf_transformation,[status(thm)],[f246])).
% 0.02/0.59 fof(f321,plain,(
% 0.02/0.59 ![X0,X1,X2]: (~finite(cartesian_product2(X0,X1))|~finite(X2)|finite(cartesian_product3(X0,X1,X2)))),
% 0.02/0.59 inference(paramodulation,[status(thm)],[f102,f109])).
% 0.02/0.59 fof(f323,plain,(
% 0.02/0.59 ~finite(cartesian_product2(sK26_skl,sK27_skl))|~finite(sK28_skl)),
% 0.02/0.59 inference(resolution,[status(thm)],[f321,f250])).
% 0.02/0.59 fof(f325,plain,(
% 0.02/0.59 ~finite(cartesian_product2(sK26_skl,sK27_skl))),
% 0.02/0.59 inference(forward_subsumption_resolution,[status(thm)],[f323,f249])).
% 0.02/0.59 fof(f327,plain,(
% 0.02/0.59 ~finite(sK26_skl)|~finite(sK27_skl)),
% 0.02/0.59 inference(resolution,[status(thm)],[f325,f109])).
% 0.02/0.59 fof(f330,plain,(
% 0.02/0.59 ~finite(sK27_skl)),
% 0.02/0.59 inference(forward_subsumption_resolution,[status(thm)],[f327,f247])).
% 0.02/0.59 fof(f331,plain,(
% 0.02/0.59 $false),
% 0.02/0.59 inference(backward_subsumption_resolution,[status(thm)],[f248,f330])).
% 0.02/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.62 % Elapsed time: 0.059401 seconds
% 0.02/0.62 % CPU time: 0.152293 seconds
% 0.02/0.62 % Total memory used: 105.780 MB
% 0.02/0.62 % Net memory used: 105.732 MB
%------------------------------------------------------------------------------