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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO454+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 : n003.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 2.14s 2.75s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO454+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
% 0.09/0.36  % Computer : n003.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 16:25:16 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 1.95/2.29  % Drodi V4.1.1
% 2.14/2.75  % Refutation found
% 2.14/2.75  % SZS status Theorem for theBenchmark: Theorem is valid
% 2.14/2.75  % SZS output start CNFRefutation for theBenchmark
% 2.14/2.75  fof(f3206,axiom,(
% 2.14/2.75    (! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )),
% 2.14/2.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.14/2.75  fof(f3207,axiom,(
% 2.14/2.75    (! [X] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X) )),
% 2.14/2.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.14/2.75  fof(f3209,conjecture,(
% 2.14/2.75    (! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) = s(real,X) )),
% 2.14/2.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.14/2.75  fof(f3210,negated_conjecture,(
% 2.14/2.76    ~((! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) = s(real,X) ))),
% 2.14/2.76    inference(negated_conjecture,[status(cth)],[f3209])).
% 2.14/2.76  fof(f14113,plain,(
% 2.14/2.76    ![X0]: (s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X0)))=s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),
% 2.14/2.76    inference(cnf_transformation,[status(thm)],[f3206])).
% 2.14/2.76  fof(f14114,plain,(
% 2.14/2.76    ![X0]: (s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))=s(real,X0))),
% 2.14/2.76    inference(cnf_transformation,[status(thm)],[f3207])).
% 2.14/2.76  fof(f14116,plain,(
% 2.14/2.76    (?[X]: ~s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X)))))=s(real,X))),
% 2.14/2.76    inference(pre_NNF_transformation,[status(thm)],[f3210])).
% 2.14/2.76  fof(f14117,plain,(
% 2.14/2.76    ~s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,sK3405_skl)))))=s(real,sK3405_skl)),
% 2.14/2.76    inference(skolemize,[status(esa),new_symbols(skolem,[sK3405_skl]),skolemize(X,sK3405_skl)],[f14116])).
% 2.14/2.76  fof(f14118,plain,(
% 2.14/2.76    ~s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,sK3405_skl)))))=s(real,sK3405_skl)),
% 2.14/2.76    inference(cnf_transformation,[status(thm)],[f14117])).
% 2.14/2.76  fof(f16780,plain,(
% 2.14/2.76    ~s(real,sK3405_skl)=s(real,sK3405_skl)),
% 2.14/2.76    inference(backward_demodulation,[status(thm)],[f16781,f14118])).
% 2.14/2.76  fof(f16781,plain,(
% 2.14/2.76    ![X0]: (s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X0)))))=s(real,X0))),
% 2.14/2.76    inference(forward_demodulation,[status(thm)],[f14113,f14114])).
% 2.14/2.76  fof(f16792,plain,(
% 2.14/2.76    $false),
% 2.14/2.76    inference(trivial_equality_resolution,[status(thm)],[f16780])).
% 2.14/2.76  % SZS output end CNFRefutation for theBenchmark.p
% 2.16/2.91  % Elapsed time: 2.531731 seconds
% 2.16/2.91  % CPU time: 5.244901 seconds
% 2.16/2.91  % Total memory used: 1.426 GB
% 2.16/2.91  % Net memory used: 1.422 GB
%------------------------------------------------------------------------------