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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV158+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.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 02:50:09 PM UTC 2026

% Result   : Theorem 0.12s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV158+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n018.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 : Mon Sep 21 08:35:14 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.37  % Drodi V4.1.1
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39  fof(f53,conjecture,(
% 0.12/0.39    ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))& leq(n0,pv10)& leq(n0,pv47)& leq(pv10,n135299)& leq(pv47,n4)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv47)) )=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ))& (! [B] :( ( leq(n0,B)& leq(B,pred(pv10)) )=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ))=> (! [C] :( ( leq(n0,C)& leq(C,pv47) )=> ( pv47 = C=> divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) )) ),
% 0.12/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f54,negated_conjecture,(
% 0.12/0.39    ~(( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))& leq(n0,pv10)& leq(n0,pv47)& leq(pv10,n135299)& leq(pv47,n4)& (! [A] :( ( leq(n0,A)& leq(A,pred(pv47)) )=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ))& (! [B] :( ( leq(n0,B)& leq(B,pred(pv10)) )=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ))=> (! [C] :( ( leq(n0,C)& leq(C,pv47) )=> ( pv47 = C=> divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) )) )),
% 0.12/0.39    inference(negated_conjecture,[status(cth)],[f53])).
% 0.12/0.39  fof(f259,plain,(
% 0.12/0.39    (((((((pv84=sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv47)))|a_select3(q,pv10,A)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))))&(![B]: ((~leq(n0,B)|~leq(B,pred(pv10)))|sum(n0,n4,a_select3(q,B,tptp_sum_index))=n1)))&(?[C]: ((leq(n0,C)&leq(C,pv47))&(pv47=C&~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))))),
% 0.12/0.39    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.12/0.39  fof(f260,plain,(
% 0.12/0.39    ((((((pv84=sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))&leq(n0,pv10))&leq(n0,pv47))&leq(pv10,n135299))&leq(pv47,n4))&(![A]: ((~leq(n0,A)|~leq(A,pred(pv47)))|a_select3(q,pv10,A)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))))&(![B]: ((~leq(n0,B)|~leq(B,pred(pv10)))|sum(n0,n4,a_select3(q,B,tptp_sum_index))=n1)))&((leq(n0,sK23_skl)&leq(sK23_skl,pv47))&(pv47=sK23_skl&~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),
% 0.12/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(C,sK23_skl)],[f259])).
% 0.12/0.39  fof(f261,plain,(
% 0.12/0.39    pv84=sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f260])).
% 0.12/0.39  fof(f270,plain,(
% 0.12/0.39    pv47=sK23_skl),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f260])).
% 0.12/0.39  fof(f271,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f260])).
% 0.12/0.39  fof(f436,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f270,f271])).
% 0.12/0.39  fof(f437,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f270,f436])).
% 0.12/0.39  fof(f438,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f270,f437])).
% 0.12/0.39  fof(f439,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f270,f438])).
% 0.12/0.39  fof(f440,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f270,f439])).
% 0.12/0.39  fof(f441,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f270,f440])).
% 0.12/0.39  fof(f442,plain,(
% 0.12/0.39    ~divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),pv84)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK23_skl)),minus(a_select2(x,pv10),a_select2(mu,sK23_skl))),tptp_minus_2),times(a_select2(sigma,sK23_skl),a_select2(sigma,sK23_skl)))),a_select2(rho,sK23_skl)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK23_skl))),pv84)),
% 0.12/0.39    inference(forward_demodulation,[status(thm)],[f261,f441])).
% 0.12/0.39  fof(f443,plain,(
% 0.12/0.39    $false),
% 0.12/0.39    inference(trivial_equality_resolution,[status(thm)],[f442])).
% 0.12/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42  % Elapsed time: 0.057238 seconds
% 0.12/0.42  % CPU time: 0.176442 seconds
% 0.12/0.42  % Total memory used: 106.961 MB
% 0.12/0.42  % Net memory used: 106.744 MB
%------------------------------------------------------------------------------