%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWV159+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 19:49:43 EDT 2022

% Result   : Theorem 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV159+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun 16 03:59:39 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.35/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  fof(cl5_nebula_norm_0009, conjecture, 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) & ! [_217809] : (leq(n0, _217809) & leq(_217809, pred(pv47)) => a_select3(q, pv10, _217809) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, _217809)), minus(a_select2(x, pv10), a_select2(mu, _217809))), tptp_minus_2), times(a_select2(sigma, _217809), a_select2(sigma, _217809)))), a_select2(rho, _217809)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, _217809))), 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)))))) & ! [_218142] : (leq(n0, _218142) & leq(_218142, pred(pv10)) => sum(n0, n4, a_select3(q, _218142, tptp_sum_index)) = n1) => ! [_218200] : (leq(n0, _218200) & leq(_218200, pred(pv10)) => (! pv10) = _218200 => sum(n0, n4, a_select3(q, _218200, tptp_sum_index)) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cl5_nebula_norm_0009)).
% 0.35/1.41  
% 0.35/1.41  cnf(1, plain, [-(leq(n0, 28 ^ []))], clausify(cl5_nebula_norm_0009)).
% 0.35/1.41  cnf(2, plain, [-(leq(28 ^ [], pred(pv10)))], clausify(cl5_nebula_norm_0009)).
% 0.35/1.41  cnf(3, plain, [sum(n0, n4, a_select3(q, 28 ^ [], tptp_sum_index)) = n1], clausify(cl5_nebula_norm_0009)).
% 0.35/1.41  cnf(4, plain, [-(sum(n0, n4, a_select3(q, _119435, tptp_sum_index)) = n1), leq(n0, _119435), leq(_119435, pred(pv10))], clausify(cl5_nebula_norm_0009)).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[sum(n0, n4, a_select3(q, 28 ^ [], tptp_sum_index)) = n1],start(3)).
% 0.35/1.41  cnf('1.1',plain,[-(sum(n0, n4, a_select3(q, 28 ^ [], tptp_sum_index)) = n1), leq(n0, 28 ^ []), leq(28 ^ [], pred(pv10))],extension(4,bind([[_119435], [28 ^ []]]))).
% 0.35/1.41  cnf('1.1.1',plain,[-(leq(n0, 28 ^ []))],extension(1)).
% 0.35/1.41  cnf('1.1.2',plain,[-(leq(28 ^ [], pred(pv10)))],extension(2)).
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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