%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU090+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 : n007.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 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU090+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.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 05:48:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f14,axiom,(
% 0.14/0.41 (! [A,B,C,D] : cartesian_product4(A,B,C,D) = cartesian_product2(cartesian_product3(A,B,C),D) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f17,axiom,(
% 0.14/0.41 (! [A,B] :( ( finite(A)& finite(B) )=> finite(cartesian_product2(A,B)) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,axiom,(
% 0.14/0.41 (! [A,B,C] :( ( finite(A)& finite(B)& finite(C) )=> finite(cartesian_product3(A,B,C)) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f56,conjecture,(
% 0.14/0.41 (! [A,B,C,D] :( ( finite(A)& finite(B)& finite(C)& finite(D) )=> finite(cartesian_product4(A,B,C,D)) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f57,negated_conjecture,(
% 0.14/0.41 ~((! [A,B,C,D] :( ( finite(A)& finite(B)& finite(C)& finite(D) )=> finite(cartesian_product4(A,B,C,D)) ) ))),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f56])).
% 0.14/0.41 fof(f105,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (cartesian_product4(X0,X1,X2,X3)=cartesian_product2(cartesian_product3(X0,X1,X2),X3))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 ![A,B]: ((~finite(A)|~finite(B))|finite(cartesian_product2(A,B)))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 ![X0,X1]: (~finite(X0)|~finite(X1)|finite(cartesian_product2(X0,X1)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f111])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 ![A,B,C]: (((~finite(A)|~finite(B))|~finite(C))|finite(cartesian_product3(A,B,C)))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~finite(X0)|~finite(X1)|~finite(X2)|finite(cartesian_product3(X0,X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/0.41 fof(f254,plain,(
% 0.14/0.41 (?[A,B,C,D]: ((((finite(A)&finite(B))&finite(C))&finite(D))&~finite(cartesian_product4(A,B,C,D))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.14/0.41 fof(f255,plain,(
% 0.14/0.41 ((((finite(sK26_skl)&finite(sK27_skl))&finite(sK28_skl))&finite(sK29_skl))&~finite(cartesian_product4(sK26_skl,sK27_skl,sK28_skl,sK29_skl)))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl,sK29_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(C,sK28_skl),skolemize(D,sK29_skl)],[f254])).
% 0.14/0.41 fof(f256,plain,(
% 0.14/0.41 finite(sK26_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/0.41 fof(f257,plain,(
% 0.14/0.41 finite(sK27_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/0.41 fof(f258,plain,(
% 0.14/0.41 finite(sK28_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/0.41 fof(f259,plain,(
% 0.14/0.41 finite(sK29_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/0.41 fof(f260,plain,(
% 0.14/0.41 ~finite(cartesian_product4(sK26_skl,sK27_skl,sK28_skl,sK29_skl))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f255])).
% 0.14/0.41 fof(f298,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (~finite(cartesian_product3(X0,X1,X2))|~finite(X3)|finite(cartesian_product4(X0,X1,X2,X3)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f105,f112])).
% 0.14/0.41 fof(f300,plain,(
% 0.14/0.41 ~finite(cartesian_product3(sK26_skl,sK27_skl,sK28_skl))|~finite(sK29_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f298,f260])).
% 0.14/0.41 fof(f301,plain,(
% 0.14/0.41 ~finite(cartesian_product3(sK26_skl,sK27_skl,sK28_skl))),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f300,f259])).
% 0.14/0.41 fof(f302,plain,(
% 0.14/0.41 ~finite(sK26_skl)|~finite(sK27_skl)|~finite(sK28_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f301,f114])).
% 0.14/0.41 fof(f304,plain,(
% 0.14/0.41 ~finite(sK27_skl)|~finite(sK28_skl)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f302,f256])).
% 0.14/0.41 fof(f306,plain,(
% 0.14/0.41 ~finite(sK28_skl)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f304,f257])).
% 0.14/0.41 fof(f307,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f258,f306])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.060590 seconds
% 0.14/0.44 % CPU time: 0.161743 seconds
% 0.14/0.44 % Total memory used: 105.952 MB
% 0.14/0.44 % Net memory used: 105.905 MB
%------------------------------------------------------------------------------