%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO452+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:26:30 PM UTC 2026
% Result : Theorem 2.25s 2.92s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO452+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 16:19:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 2.04/2.34 % Drodi V4.1.1
% 2.25/2.92 % Refutation found
% 2.25/2.92 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.25/2.92 % SZS output start CNFRefutation for theBenchmark
% 2.25/2.92 fof(f3176,axiom,(
% 2.25/2.92 (! [N,M,F0] :( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))=> (! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) )) )),
% 2.25/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.25/2.92 fof(f3177,conjecture,(
% 2.25/2.92 (! [N,M,F0] :( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))=> (! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) )) )),
% 2.25/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.25/2.92 fof(f3178,negated_conjecture,(
% 2.25/2.92 ~((! [N,M,F0] :( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))=> (! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) )) ))),
% 2.25/2.92 inference(negated_conjecture,[status(cth)],[f3177])).
% 2.25/2.92 fof(f13984,plain,(
% 2.25/2.92 ![N,M,F0]: (~p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))|(![X]: s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X)))=s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))),
% 2.25/2.92 inference(pre_NNF_transformation,[status(thm)],[f3176])).
% 2.25/2.92 fof(f13985,plain,(
% 2.25/2.92 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2))))|s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(cart(cart(real,X0),X1),fun(cart(real,X0),cart(real,X1))),matrixu_vectoru_mul),s(cart(cart(real,X0),X1),i(s(fun(fun(cart(real,X0),cart(real,X1)),cart(cart(real,X0),X1)),matrix),s(fun(cart(real,X0),cart(real,X1)),X2))))),s(cart(real,X0),X3)))=s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X3))))),
% 2.25/2.92 inference(cnf_transformation,[status(thm)],[f13984])).
% 2.25/2.92 fof(f13986,plain,(
% 2.25/2.92 (?[N,M,F0]: (p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))&(?[X]: ~s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))=s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))))))),
% 2.25/2.92 inference(pre_NNF_transformation,[status(thm)],[f3178])).
% 2.25/2.92 fof(f13987,plain,(
% 2.25/2.92 (p(s(bool,i(s(fun(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),bool),linear),s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl))))&~s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl),s(cart(real,sK3367_skl),sK3369_skl)))=s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),i(s(fun(cart(cart(real,sK3367_skl),sK3366_skl),fun(cart(real,sK3367_skl),cart(real,sK3366_skl))),matrixu_vectoru_mul),s(cart(cart(real,sK3367_skl),sK3366_skl),i(s(fun(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),cart(cart(real,sK3367_skl),sK3366_skl)),matrix),s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl))))),s(cart(real,sK3367_skl),sK3369_skl))))),
% 2.25/3.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK3366_skl,sK3367_skl,sK3368_skl,sK3369_skl]),skolemize(N,sK3366_skl),skolemize(M,sK3367_skl),skolemize(F0,sK3368_skl),skolemize(X,sK3369_skl)],[f13986])).
% 2.25/3.03 fof(f13988,plain,(
% 2.25/3.03 p(s(bool,i(s(fun(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),bool),linear),s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl))))),
% 2.25/3.03 inference(cnf_transformation,[status(thm)],[f13987])).
% 2.25/3.03 fof(f13989,plain,(
% 2.25/3.03 ~s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl),s(cart(real,sK3367_skl),sK3369_skl)))=s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),i(s(fun(cart(cart(real,sK3367_skl),sK3366_skl),fun(cart(real,sK3367_skl),cart(real,sK3366_skl))),matrixu_vectoru_mul),s(cart(cart(real,sK3367_skl),sK3366_skl),i(s(fun(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),cart(cart(real,sK3367_skl),sK3366_skl)),matrix),s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl))))),s(cart(real,sK3367_skl),sK3369_skl)))),
% 2.25/3.03 inference(cnf_transformation,[status(thm)],[f13987])).
% 2.25/3.03 fof(f16574,plain,(
% 2.25/3.03 ![X0]: (s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),i(s(fun(cart(cart(real,sK3367_skl),sK3366_skl),fun(cart(real,sK3367_skl),cart(real,sK3366_skl))),matrixu_vectoru_mul),s(cart(cart(real,sK3367_skl),sK3366_skl),i(s(fun(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),cart(cart(real,sK3367_skl),sK3366_skl)),matrix),s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl))))),s(cart(real,sK3367_skl),X0)))=s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl),s(cart(real,sK3367_skl),X0))))),
% 2.25/3.03 inference(resolution,[status(thm)],[f13985,f13988])).
% 2.25/3.03 fof(f16575,plain,(
% 2.25/3.03 ~s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl),s(cart(real,sK3367_skl),sK3369_skl)))=s(cart(real,sK3366_skl),i(s(fun(cart(real,sK3367_skl),cart(real,sK3366_skl)),sK3368_skl),s(cart(real,sK3367_skl),sK3369_skl)))),
% 2.25/3.03 inference(backward_demodulation,[status(thm)],[f16574,f13989])).
% 2.25/3.03 fof(f16588,plain,(
% 2.25/3.03 $false),
% 2.25/3.03 inference(trivial_equality_resolution,[status(thm)],[f16575])).
% 2.25/3.03 % SZS output end CNFRefutation for theBenchmark.p
% 2.26/3.10 % Elapsed time: 2.716951 seconds
% 2.26/3.10 % CPU time: 6.640150 seconds
% 2.26/3.10 % Total memory used: 1.431 GB
% 2.26/3.10 % Net memory used: 1.427 GB
%------------------------------------------------------------------------------